TSTP Solution File: COM005-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : COM005-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:22:06 EDT 2023

% Result   : Unsatisfiable 1500.66s 204.86s
% Output   : CNFRefutation 1500.66s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
cnf(c152,negated_conjecture,
    ( pqr1(X1)
    | pqr2(X1)
    | pqr3(X1)
    | pqr4(X1)
    | pr(X1)
    | ~ pr(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c152) ).

cnf(c091,negated_conjecture,
    ( qp(X1)
    | rq(X1)
    | pr(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c091) ).

cnf(c003,negated_conjecture,
    ( ~ ap(X1)
    | ~ ar(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c003) ).

cnf(c206,negated_conjecture,
    ( ar(X1)
    | r(s(X1))
    | ~ r(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c206) ).

cnf(c004,negated_conjecture,
    ( ~ aq(X1)
    | ~ ar(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c004) ).

cnf(c155,negated_conjecture,
    ( q(X1)
    | p(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ r(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c155) ).

cnf(c159,negated_conjecture,
    ( r(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ p(X1)
    | ~ r(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c159) ).

cnf(c205,negated_conjecture,
    ( ar(X1)
    | r(X1)
    | ~ r(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c205) ).

cnf(c268,negated_conjecture,
    ( rpq1(X1)
    | rpq2(X1)
    | rpq3(X1)
    | rpq4(X1)
    | rq(X1)
    | ~ rq(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c268) ).

cnf(c094,negated_conjecture,
    ( ap(s(X1))
    | ~ ar(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c094) ).

cnf(c092,negated_conjecture,
    ( aq(s(X1))
    | ~ ap(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c092) ).

cnf(c175,negated_conjecture,
    ( q(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ pp(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c175) ).

cnf(c157,negated_conjecture,
    ( ~ ar(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ r(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c157) ).

cnf(c093,negated_conjecture,
    ( ar(s(X1))
    | ~ aq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c093) ).

cnf(c178,negated_conjecture,
    ( qq(X1)
    | p(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ rr(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c178) ).

cnf(c208,negated_conjecture,
    ( ar(X1)
    | rr(s(X1))
    | ~ rr(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c208) ).

cnf(c217,negated_conjecture,
    ( p(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ q(X1)
    | ~ p(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c217) ).

cnf(c263,negated_conjecture,
    ( ap(X1)
    | p(X1)
    | ~ p(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c263) ).

cnf(c204,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | rr(X1)
    | ~ ar(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ qp(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c204) ).

cnf(c006,negated_conjecture,
    ( ~ pqr1(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c006) ).

cnf(c015,negated_conjecture,
    ( q(X1)
    | ~ pqr2(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c015) ).

cnf(c024,negated_conjecture,
    ( ~ pqr3(X1)
    | ~ r(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c024) ).

cnf(c029,negated_conjecture,
    ( q(X1)
    | ~ pqr4(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c029) ).

cnf(c066,negated_conjecture,
    ( q(X1)
    | ~ rpq1(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c066) ).

cnf(c072,negated_conjecture,
    ( ~ rpq2(X1)
    | ~ pp(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c072) ).

cnf(c081,negated_conjecture,
    ( qq(X1)
    | ~ rpq3(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c081) ).

cnf(c088,negated_conjecture,
    ( qq(X1)
    | ~ rpq4(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c088) ).

cnf(c005,negated_conjecture,
    ( ap(X1)
    | aq(X1)
    | ar(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c005) ).

cnf(c101,negated_conjecture,
    ( q(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ r(X1)
    | ~ q(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c101) ).

cnf(c147,negated_conjecture,
    ( aq(X1)
    | q(X1)
    | ~ q(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c147) ).

cnf(c002,negated_conjecture,
    ( ~ ap(X1)
    | ~ aq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c002) ).

cnf(c182,negated_conjecture,
    ( q(X1)
    | pp(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c182) ).

cnf(c167,negated_conjecture,
    ( p(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ rr(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c167) ).

cnf(c181,negated_conjecture,
    ( q(X1)
    | pp(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c181) ).

cnf(c166,negated_conjecture,
    ( qq(X1)
    | rr(X1)
    | p(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ r(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c166) ).

cnf(c221,negated_conjecture,
    ( r(X1)
    | p(X1)
    | ~ ap(X1)
    | ~ rr(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ p(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c221) ).

cnf(c099,negated_conjecture,
    ( ~ aq(X1)
    | ~ p(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ q(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c099) ).

cnf(c174,negated_conjecture,
    ( q(X1)
    | rr(X1)
    | pp(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ r(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c174) ).

cnf(c177,negated_conjecture,
    ( qq(X1)
    | p(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ rr(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c177) ).

cnf(c173,negated_conjecture,
    ( q(X1)
    | rr(X1)
    | pp(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ r(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c173) ).

cnf(c148,negated_conjecture,
    ( aq(X1)
    | q(s(X1))
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c148) ).

cnf(c200,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | pp(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c200) ).

cnf(c170,negated_conjecture,
    ( r(X1)
    | rr(X1)
    | p(X1)
    | pp(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c170) ).

cnf(c241,negated_conjecture,
    ( r(X1)
    | rr(X1)
    | p(X1)
    | ~ ap(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ p(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c241) ).

cnf(c203,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | rr(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ pp(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c203) ).

cnf(c162,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | r(X1)
    | rr(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c162) ).

cnf(c165,negated_conjecture,
    ( qq(X1)
    | rr(X1)
    | p(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ r(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c165) ).

cnf(c189,negated_conjecture,
    ( q(X1)
    | rr(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ pp(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c189) ).

cnf(c213,negated_conjecture,
    ( r(X1)
    | q(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c213) ).

cnf(c264,negated_conjecture,
    ( ap(X1)
    | p(s(X1))
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c264) ).

cnf(c219,negated_conjecture,
    ( r(X1)
    | rr(X1)
    | p(X1)
    | pp(X1)
    | ~ ap(X1)
    | ~ q(X1)
    | ~ p(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c219) ).

cnf(c087,negated_conjecture,
    ( q(X1)
    | ~ rpq4(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c087) ).

cnf(c225,negated_conjecture,
    ( q(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ pp(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c225) ).

cnf(c229,negated_conjecture,
    ( p(X1)
    | q(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ pp(X1)
    | ~ qq(X1)
    | ~ p(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c229) ).

cnf(c207,negated_conjecture,
    ( ar(X1)
    | rr(X1)
    | ~ rr(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c207) ).

cnf(c235,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ pp(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c235) ).

cnf(c237,negated_conjecture,
    ( p(X1)
    | q(X1)
    | qq(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c237) ).

cnf(c171,negated_conjecture,
    ( r(X1)
    | p(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ rr(X1)
    | ~ pp(X1)
    | ~ r(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c171) ).

cnf(c078,negated_conjecture,
    ( ~ rpq3(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c078) ).

cnf(c223,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | q(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c223) ).

cnf(c227,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | q(X1)
    | qq(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ p(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c227) ).

cnf(c163,negated_conjecture,
    ( q(X1)
    | r(X1)
    | ~ ar(X1)
    | ~ qq(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ r(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c163) ).

cnf(c179,negated_conjecture,
    ( r(X1)
    | p(X1)
    | pp(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ rr(X1)
    | ~ r(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c179) ).

cnf(c070,negated_conjecture,
    ( rr(X1)
    | ~ rpq2(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c070) ).

cnf(c102,negated_conjecture,
    ( q(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ r(X1)
    | ~ qq(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c102) ).

cnf(c100,negated_conjecture,
    ( ~ aq(X1)
    | ~ p(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ qq(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c100) ).

cnf(c245,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | q(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ p(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c245) ).

cnf(c183,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | r(X1)
    | ~ ar(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ r(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c183) ).

cnf(c257,negated_conjecture,
    ( pp(X1)
    | q(X1)
    | qq(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ p(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c257) ).

cnf(c215,negated_conjecture,
    ( ~ ap(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ q(X1)
    | ~ p(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c215) ).

cnf(c169,negated_conjecture,
    ( r(X1)
    | rr(X1)
    | p(X1)
    | pp(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ r(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c169) ).

cnf(c097,negated_conjecture,
    ( p(X1)
    | r(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c097) ).

cnf(c153,negated_conjecture,
    ( q(X1)
    | r(X1)
    | p(X1)
    | r(s(X1))
    | ~ ar(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c153) ).

cnf(c161,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | r(X1)
    | rr(X1)
    | ~ ar(X1)
    | ~ p(X1)
    | ~ r(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c161) ).

cnf(c197,negated_conjecture,
    ( qq(X1)
    | r(X1)
    | rr(X1)
    | p(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ pp(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c197) ).

cnf(c187,negated_conjecture,
    ( r(X1)
    | rr(X1)
    | p(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ r(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c187) ).

cnf(c117,negated_conjecture,
    ( p(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ rr(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c117) ).

cnf(c095,negated_conjecture,
    ( p(X1)
    | q(X1)
    | r(X1)
    | q(s(X1))
    | ~ aq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c095) ).

cnf(c202,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | rr(X1)
    | ~ ar(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ r(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c202) ).

cnf(c123,negated_conjecture,
    ( p(X1)
    | rr(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c123) ).

cnf(c256,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | pp(X1)
    | q(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ rq(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c256) ).

cnf(c007,negated_conjecture,
    ( pp(X1)
    | ~ pqr1(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c007) ).

cnf(c013,negated_conjecture,
    ( p(X1)
    | ~ pqr2(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c013) ).

cnf(c020,negated_conjecture,
    ( p(X1)
    | ~ pqr3(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c020) ).

cnf(c032,negated_conjecture,
    ( rr(X1)
    | ~ pqr4(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c032) ).

cnf(c160,negated_conjecture,
    ( r(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ p(X1)
    | ~ rr(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c160) ).

cnf(c158,negated_conjecture,
    ( ~ ar(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ rr(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c158) ).

cnf(c149,negated_conjecture,
    ( aq(X1)
    | qq(X1)
    | ~ qq(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c149) ).

cnf(c115,negated_conjecture,
    ( p(X1)
    | qq(X1)
    | rr(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ q(X1)
    | ~ r(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c115) ).

cnf(c211,negated_conjecture,
    ( r(X1)
    | p(X1)
    | q(X1)
    | p(s(X1))
    | ~ ap(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c211) ).

cnf(c150,negated_conjecture,
    ( aq(X1)
    | qq(s(X1))
    | ~ qq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c150) ).

cnf(c236,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ pp(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c236) ).

cnf(c266,negated_conjecture,
    ( ap(X1)
    | pp(s(X1))
    | ~ pp(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c266) ).

cnf(c233,negated_conjecture,
    ( r(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ qq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c233) ).

cnf(c239,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c239) ).

cnf(c191,negated_conjecture,
    ( q(X1)
    | r(X1)
    | rr(X1)
    | ~ ar(X1)
    | ~ qq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ r(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c191) ).

cnf(c243,negated_conjecture,
    ( pp(X1)
    | q(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ qq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c243) ).

cnf(c231,negated_conjecture,
    ( r(X1)
    | pp(X1)
    | qq(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ p(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c231) ).

cnf(c254,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | pp(X1)
    | q(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ qq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c254) ).

cnf(c033,negated_conjecture,
    ( aq(X1)
    | ~ pqr4(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c033) ).

cnf(c247,negated_conjecture,
    ( r(X1)
    | pp(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ q(X1)
    | ~ qq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c247) ).

cnf(c026,negated_conjecture,
    ( aq(X1)
    | ~ pqr3(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c026) ).

cnf(c016,negated_conjecture,
    ( ~ pqr2(X1)
    | ~ qq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c016) ).

cnf(c009,negated_conjecture,
    ( ~ pqr1(X1)
    | ~ qq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c009) ).

cnf(c224,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | q(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c224) ).

cnf(c249,negated_conjecture,
    ( r(X1)
    | p(X1)
    | pp(X1)
    | ~ ap(X1)
    | ~ rr(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ p(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c249) ).

cnf(c255,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | pp(X1)
    | q(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ qq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c255) ).

cnf(c228,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | q(X1)
    | qq(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ r(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c228) ).

cnf(c154,negated_conjecture,
    ( q(X1)
    | r(X1)
    | p(X1)
    | ~ ar(X1)
    | ~ rr(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c154) ).

cnf(c156,negated_conjecture,
    ( q(X1)
    | p(X1)
    | ~ ar(X1)
    | ~ r(X1)
    | ~ rr(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c156) ).

cnf(c105,negated_conjecture,
    ( p(X1)
    | q(X1)
    | ~ aq(X1)
    | ~ pp(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ q(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c105) ).

cnf(c146,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | qq(X1)
    | ~ aq(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ pr(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c146) ).

cnf(c124,negated_conjecture,
    ( p(X1)
    | rr(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c124) ).

cnf(c125,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | q(X1)
    | ~ aq(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ q(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c125) ).

cnf(c116,negated_conjecture,
    ( p(X1)
    | qq(X1)
    | rr(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ q(X1)
    | ~ r(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c116) ).

cnf(c103,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | q(X1)
    | qq(X1)
    | ~ aq(X1)
    | ~ r(X1)
    | ~ q(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c103) ).

cnf(c096,negated_conjecture,
    ( p(X1)
    | q(X1)
    | r(X1)
    | ~ aq(X1)
    | ~ qq(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c096) ).

cnf(c098,negated_conjecture,
    ( p(X1)
    | r(X1)
    | ~ aq(X1)
    | ~ q(X1)
    | ~ qq(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c098) ).

cnf(c136,negated_conjecture,
    ( p(X1)
    | q(X1)
    | qq(X1)
    | rr(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ pp(X1)
    | ~ r(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c136) ).

cnf(c104,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | q(X1)
    | qq(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ r(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c104) ).

cnf(c144,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | qq(X1)
    | ~ aq(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ q(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c144) ).

cnf(c265,negated_conjecture,
    ( ap(X1)
    | pp(X1)
    | ~ pp(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c265) ).

cnf(c145,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | qq(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ rr(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c145) ).

cnf(c131,negated_conjecture,
    ( p(X1)
    | qq(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ rr(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c131) ).

cnf(c218,negated_conjecture,
    ( p(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ q(X1)
    | ~ pp(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c218) ).

cnf(c216,negated_conjecture,
    ( ~ ap(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ q(X1)
    | ~ pp(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c216) ).

cnf(c196,negated_conjecture,
    ( qq(X1)
    | r(X1)
    | rr(X1)
    | p(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ pp(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c196) ).

cnf(c240,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c240) ).

cnf(c232,negated_conjecture,
    ( r(X1)
    | pp(X1)
    | qq(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ p(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c232) ).

cnf(c252,negated_conjecture,
    ( r(X1)
    | p(X1)
    | pp(X1)
    | qq(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ rr(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c252) ).

cnf(c220,negated_conjecture,
    ( r(X1)
    | rr(X1)
    | p(X1)
    | pp(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c220) ).

cnf(c261,negated_conjecture,
    ( r(X1)
    | rr(X1)
    | pp(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ p(X1)
    | ~ q(X1)
    | ~ qq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c261) ).

cnf(c260,negated_conjecture,
    ( r(X1)
    | rr(X1)
    | pp(X1)
    | ~ ap(X1)
    | ~ p(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ p(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c260) ).

cnf(c120,negated_conjecture,
    ( pp(X1)
    | r(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ q(X1)
    | ~ qq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c120) ).

cnf(c113,negated_conjecture,
    ( q(X1)
    | r(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ qq(X1)
    | ~ rr(X1)
    | ~ q(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c113) ).

cnf(c109,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ qq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c109) ).

cnf(c108,negated_conjecture,
    ( pp(X1)
    | qq(X1)
    | r(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c108) ).

cnf(c121,negated_conjecture,
    ( q(X1)
    | r(X1)
    | rr(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ qq(X1)
    | ~ q(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c121) ).

cnf(c119,negated_conjecture,
    ( pp(X1)
    | r(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ q(X1)
    | ~ qq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c119) ).

cnf(c142,negated_conjecture,
    ( qq(X1)
    | r(X1)
    | rr(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c142) ).

cnf(c112,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | r(X1)
    | rr(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c112) ).

cnf(c111,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | r(X1)
    | rr(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ q(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c111) ).

cnf(c133,negated_conjecture,
    ( p(X1)
    | q(X1)
    | qq(X1)
    | ~ aq(X1)
    | ~ pp(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ q(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c133) ).

cnf(c107,negated_conjecture,
    ( pp(X1)
    | qq(X1)
    | r(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c107) ).

cnf(c251,negated_conjecture,
    ( r(X1)
    | p(X1)
    | pp(X1)
    | qq(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ rr(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c251) ).

cnf(c139,negated_conjecture,
    ( pp(X1)
    | q(X1)
    | qq(X1)
    | r(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ rr(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c139) ).

cnf(c129,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | r(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ rr(X1)
    | ~ q(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c129) ).

cnf(c138,negated_conjecture,
    ( pp(X1)
    | q(X1)
    | qq(X1)
    | r(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ rr(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c138) ).

cnf(c193,negated_conjecture,
    ( q(X1)
    | r(X1)
    | rr(X1)
    | pp(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ qq(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c193) ).

cnf(c122,negated_conjecture,
    ( q(X1)
    | r(X1)
    | rr(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ qq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c122) ).

cnf(c190,negated_conjecture,
    ( q(X1)
    | rr(X1)
    | ~ ar(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ rr(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c190) ).

cnf(c212,negated_conjecture,
    ( r(X1)
    | p(X1)
    | q(X1)
    | ~ ap(X1)
    | ~ pp(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c212) ).

cnf(c214,negated_conjecture,
    ( r(X1)
    | q(X1)
    | ~ ap(X1)
    | ~ p(X1)
    | ~ pp(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c214) ).

cnf(c192,negated_conjecture,
    ( q(X1)
    | r(X1)
    | rr(X1)
    | ~ ar(X1)
    | ~ qq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ rr(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c192) ).

cnf(c184,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | r(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ rr(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c184) ).

cnf(c185,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ pp(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c185) ).

cnf(c172,negated_conjecture,
    ( r(X1)
    | p(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ rr(X1)
    | ~ pp(X1)
    | ~ rr(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c172) ).

cnf(c176,negated_conjecture,
    ( q(X1)
    | ~ ar(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ rr(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c176) ).

cnf(c168,negated_conjecture,
    ( p(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ rr(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c168) ).

cnf(c118,negated_conjecture,
    ( p(X1)
    | ~ aq(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ qq(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c118) ).

cnf(c258,negated_conjecture,
    ( pp(X1)
    | q(X1)
    | qq(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c258) ).

cnf(c234,negated_conjecture,
    ( r(X1)
    | ~ ap(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c234) ).

cnf(c164,negated_conjecture,
    ( q(X1)
    | r(X1)
    | ~ ar(X1)
    | ~ qq(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ rr(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c164) ).

cnf(c248,negated_conjecture,
    ( r(X1)
    | pp(X1)
    | ~ ap(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c248) ).

cnf(c222,negated_conjecture,
    ( r(X1)
    | p(X1)
    | ~ ap(X1)
    | ~ rr(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ pp(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c222) ).

cnf(c250,negated_conjecture,
    ( r(X1)
    | p(X1)
    | pp(X1)
    | ~ ap(X1)
    | ~ rr(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c250) ).

cnf(c199,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | pp(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ r(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c199) ).

cnf(c238,negated_conjecture,
    ( p(X1)
    | q(X1)
    | qq(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ pp(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c238) ).

cnf(c186,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ pp(X1)
    | ~ rr(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c186) ).

cnf(c114,negated_conjecture,
    ( q(X1)
    | r(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ qq(X1)
    | ~ rr(X1)
    | ~ qq(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c114) ).

cnf(c188,negated_conjecture,
    ( r(X1)
    | rr(X1)
    | p(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ rr(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c188) ).

cnf(c242,negated_conjecture,
    ( r(X1)
    | rr(X1)
    | p(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ pp(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c242) ).

cnf(c127,negated_conjecture,
    ( qq(X1)
    | r(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ rr(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c127) ).

cnf(c141,negated_conjecture,
    ( qq(X1)
    | r(X1)
    | rr(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ q(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c141) ).

cnf(c126,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | q(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ qq(X1)
    | ~ r(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c126) ).

cnf(c230,negated_conjecture,
    ( p(X1)
    | q(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ pp(X1)
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c230) ).

cnf(c244,negated_conjecture,
    ( pp(X1)
    | q(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c244) ).

cnf(c226,negated_conjecture,
    ( q(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ pp(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c226) ).

cnf(c246,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | q(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c246) ).

cnf(c106,negated_conjecture,
    ( p(X1)
    | q(X1)
    | ~ aq(X1)
    | ~ pp(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ qq(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c106) ).

cnf(c110,negated_conjecture,
    ( r(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ qq(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c110) ).

cnf(c030,negated_conjecture,
    ( ~ pqr4(X1)
    | ~ qq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c030) ).

cnf(c023,negated_conjecture,
    ( ~ pqr3(X1)
    | ~ qq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c023) ).

cnf(c194,negated_conjecture,
    ( q(X1)
    | r(X1)
    | rr(X1)
    | pp(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ qq(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c194) ).

cnf(c132,negated_conjecture,
    ( p(X1)
    | qq(X1)
    | ~ aq(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ qq(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c132) ).

cnf(c134,negated_conjecture,
    ( p(X1)
    | q(X1)
    | qq(X1)
    | ~ aq(X1)
    | ~ pp(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ qq(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c134) ).

cnf(c019,negated_conjecture,
    ( aq(X1)
    | ~ pqr2(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c019) ).

cnf(c012,negated_conjecture,
    ( aq(X1)
    | ~ pqr1(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c012) ).

cnf(c090,negated_conjecture,
    ( ~ qp(X1)
    | ~ rq(X1)
    | ~ pr(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c090) ).

cnf(c143,negated_conjecture,
    ( qq(X1)
    | r(X1)
    | rr(X1)
    | pr(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c143) ).

cnf(c267,negated_conjecture,
    ( rpq1(X1)
    | rpq2(X1)
    | rpq3(X1)
    | rpq4(X1)
    | rq(s(X1))
    | ~ rq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c267) ).

cnf(c064,negated_conjecture,
    ( ~ rpq1(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c064) ).

cnf(c073,negated_conjecture,
    ( ~ rpq2(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c073) ).

cnf(c209,negated_conjecture,
    ( qrp1(X1)
    | qrp2(X1)
    | qrp3(X1)
    | qrp4(X1)
    | qp(s(X1))
    | ~ qp(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c209) ).

cnf(c035,negated_conjecture,
    ( qq(X1)
    | ~ qrp1(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c035) ).

cnf(c042,negated_conjecture,
    ( qq(X1)
    | ~ qrp2(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c042) ).

cnf(c052,negated_conjecture,
    ( ~ qrp3(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c052) ).

cnf(c055,negated_conjecture,
    ( ~ qrp4(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c055) ).

cnf(c027,negated_conjecture,
    ( ~ pqr4(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c027) ).

cnf(c034,negated_conjecture,
    ( ~ qrp1(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c034) ).

cnf(c080,negated_conjecture,
    ( ~ rpq3(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c080) ).

cnf(c022,negated_conjecture,
    ( ~ pqr3(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c022) ).

cnf(c049,negated_conjecture,
    ( ~ qrp3(X1)
    | ~ qq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c049) ).

cnf(c067,negated_conjecture,
    ( ~ rpq1(X1)
    | ~ qq(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c067) ).

cnf(c054,negated_conjecture,
    ( ar(X1)
    | ~ qrp3(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c054) ).

cnf(c047,negated_conjecture,
    ( ar(X1)
    | ~ qrp2(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c047) ).

cnf(c014,negated_conjecture,
    ( pp(X1)
    | ~ pqr2(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c014) ).

cnf(c043,negated_conjecture,
    ( r(X1)
    | ~ qrp2(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c043) ).

cnf(c085,negated_conjecture,
    ( p(X1)
    | ~ rpq4(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c085) ).

cnf(c089,negated_conjecture,
    ( ap(X1)
    | ~ rpq4(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c089) ).

cnf(c063,negated_conjecture,
    ( rr(X1)
    | ~ rpq1(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c063) ).

cnf(c025,negated_conjecture,
    ( rr(X1)
    | ~ pqr3(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c025) ).

cnf(c060,negated_conjecture,
    ( pp(X1)
    | ~ qrp4(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c060) ).

cnf(c053,negated_conjecture,
    ( pp(X1)
    | ~ qrp3(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c053) ).

cnf(c008,negated_conjecture,
    ( ~ pqr1(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c008) ).

cnf(c045,negated_conjecture,
    ( ~ qrp2(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c045) ).

cnf(c086,negated_conjecture,
    ( ~ rpq4(X1)
    | ~ pp(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c086) ).

cnf(c128,negated_conjecture,
    ( qq(X1)
    | r(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ rr(X1)
    | ~ qq(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c128) ).

cnf(c253,negated_conjecture,
    ( r(X1)
    | p(X1)
    | pp(X1)
    | qq(X1)
    | rq(s(X1))
    | ~ ap(X1)
    | ~ rr(X1)
    | ~ q(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c253) ).

cnf(c151,negated_conjecture,
    ( pqr1(X1)
    | pqr2(X1)
    | pqr3(X1)
    | pqr4(X1)
    | pr(s(X1))
    | ~ pr(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c151) ).

cnf(c130,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | r(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ rr(X1)
    | ~ qq(s(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c130) ).

cnf(c038,negated_conjecture,
    ( p(X1)
    | ~ qrp1(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c038) ).

cnf(c059,negated_conjecture,
    ( p(X1)
    | ~ qrp4(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c059) ).

cnf(c259,negated_conjecture,
    ( pp(X1)
    | q(X1)
    | qq(X1)
    | rq(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c259) ).

cnf(c028,negated_conjecture,
    ( ~ pqr4(X1)
    | ~ pp(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c028) ).

cnf(c021,negated_conjecture,
    ( ~ pqr3(X1)
    | ~ pp(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c021) ).

cnf(c048,negated_conjecture,
    ( q(X1)
    | ~ qrp3(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c048) ).

cnf(c010,negated_conjecture,
    ( r(X1)
    | ~ pqr1(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c010) ).

cnf(c061,negated_conjecture,
    ( ar(X1)
    | ~ qrp4(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c061) ).

cnf(c040,negated_conjecture,
    ( ar(X1)
    | ~ qrp1(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c040) ).

cnf(c065,negated_conjecture,
    ( ~ rpq1(X1)
    | ~ pp(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c065) ).

cnf(c079,negated_conjecture,
    ( ~ rpq3(X1)
    | ~ pp(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c079) ).

cnf(c050,negated_conjecture,
    ( ~ qrp3(X1)
    | ~ r(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c050) ).

cnf(c044,negated_conjecture,
    ( ~ qrp2(X1)
    | ~ rr(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c044) ).

cnf(c135,negated_conjecture,
    ( p(X1)
    | q(X1)
    | qq(X1)
    | rr(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ pp(X1)
    | ~ r(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c135) ).

cnf(c201,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | pp(X1)
    | qp(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c201) ).

cnf(c180,negated_conjecture,
    ( r(X1)
    | p(X1)
    | pp(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ rr(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c180) ).

cnf(c001,negated_conjecture,
    ap(a),
    file('/export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p',c001) ).

cnf(c_0_238,negated_conjecture,
    ( pqr1(X1)
    | pqr2(X1)
    | pqr3(X1)
    | pqr4(X1)
    | pr(X1)
    | ~ pr(s(X1)) ),
    c152 ).

cnf(c_0_239,negated_conjecture,
    ( qp(X1)
    | rq(X1)
    | pr(X1) ),
    c091 ).

cnf(c_0_240,negated_conjecture,
    ( ~ ap(X1)
    | ~ ar(X1) ),
    c003 ).

cnf(c_0_241,negated_conjecture,
    ( ar(X1)
    | r(s(X1))
    | ~ r(X1) ),
    c206 ).

cnf(c_0_242,negated_conjecture,
    ( ~ aq(X1)
    | ~ ar(X1) ),
    c004 ).

cnf(c_0_243,negated_conjecture,
    ( q(X1)
    | p(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ r(X1) ),
    c155 ).

cnf(c_0_244,negated_conjecture,
    ( r(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ p(X1)
    | ~ r(s(X1)) ),
    c159 ).

cnf(c_0_245,negated_conjecture,
    ( ar(X1)
    | r(X1)
    | ~ r(s(X1)) ),
    c205 ).

cnf(c_0_246,negated_conjecture,
    ( rpq1(X1)
    | rpq2(X1)
    | rpq3(X1)
    | rpq4(X1)
    | rq(X1)
    | ~ rq(s(X1)) ),
    c268 ).

cnf(c_0_247,negated_conjecture,
    ( pr(X1)
    | rq(s(X1))
    | qp(s(X1))
    | pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | pqr1(X1) ),
    inference(spm,[status(thm)],[c_0_238,c_0_239]) ).

cnf(c_0_248,negated_conjecture,
    ( r(s(X1))
    | ~ r(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_240,c_0_241]) ).

cnf(c_0_249,negated_conjecture,
    ( ap(s(X1))
    | ~ ar(X1) ),
    c094 ).

cnf(c_0_250,negated_conjecture,
    ( r(s(X1))
    | ~ r(X1)
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_242,c_0_241]) ).

cnf(c_0_251,negated_conjecture,
    ( aq(s(X1))
    | ~ ap(X1) ),
    c092 ).

cnf(c_0_252,negated_conjecture,
    ( q(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ pp(X1) ),
    c175 ).

cnf(c_0_253,negated_conjecture,
    ( r(s(X1))
    | q(X1)
    | p(X1)
    | ~ r(X1) ),
    inference(csr,[status(thm)],[c_0_243,c_0_241]) ).

cnf(c_0_254,negated_conjecture,
    ( ~ ar(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ r(s(X1)) ),
    c157 ).

cnf(c_0_255,negated_conjecture,
    ( ar(s(X1))
    | ~ aq(X1) ),
    c093 ).

cnf(c_0_256,negated_conjecture,
    ( r(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[c_0_244,c_0_245]) ).

cnf(c_0_257,negated_conjecture,
    ( qq(X1)
    | p(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ rr(X1) ),
    c178 ).

cnf(c_0_258,negated_conjecture,
    ( ar(X1)
    | rr(s(X1))
    | ~ rr(X1) ),
    c208 ).

cnf(c_0_259,negated_conjecture,
    ( p(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ q(X1)
    | ~ p(s(X1)) ),
    c217 ).

cnf(c_0_260,negated_conjecture,
    ( ap(X1)
    | p(X1)
    | ~ p(s(X1)) ),
    c263 ).

cnf(c_0_261,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | rr(X1)
    | ~ ar(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ qp(s(X1)) ),
    c204 ).

cnf(c_0_262,negated_conjecture,
    ( pr(X1)
    | rq(X1)
    | qp(s(X1))
    | rpq4(X1)
    | rpq3(X1)
    | rpq2(X1)
    | rpq1(X1)
    | pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | pqr1(X1) ),
    inference(spm,[status(thm)],[c_0_246,c_0_247]) ).

cnf(c_0_263,negated_conjecture,
    ( ~ pqr1(X1)
    | ~ p(X1) ),
    c006 ).

cnf(c_0_264,negated_conjecture,
    ( q(X1)
    | ~ pqr2(X1) ),
    c015 ).

cnf(c_0_265,negated_conjecture,
    ( ~ pqr3(X1)
    | ~ r(X1) ),
    c024 ).

cnf(c_0_266,negated_conjecture,
    ( q(X1)
    | ~ pqr4(X1) ),
    c029 ).

cnf(c_0_267,negated_conjecture,
    ( q(X1)
    | ~ rpq1(X1) ),
    c066 ).

cnf(c_0_268,negated_conjecture,
    ( ~ rpq2(X1)
    | ~ pp(X1) ),
    c072 ).

cnf(c_0_269,negated_conjecture,
    ( qq(X1)
    | ~ rpq3(X1) ),
    c081 ).

cnf(c_0_270,negated_conjecture,
    ( qq(X1)
    | ~ rpq4(X1) ),
    c088 ).

cnf(c_0_271,negated_conjecture,
    ( r(s(s(X1)))
    | ~ r(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_248,c_0_249]) ).

cnf(c_0_272,negated_conjecture,
    ( ap(X1)
    | aq(X1)
    | ar(X1) ),
    c005 ).

cnf(c_0_273,negated_conjecture,
    ( r(s(s(X1)))
    | ~ r(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_250,c_0_251]) ).

cnf(c_0_274,negated_conjecture,
    ( q(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ r(X1)
    | ~ q(s(X1)) ),
    c101 ).

cnf(c_0_275,negated_conjecture,
    ( aq(X1)
    | q(X1)
    | ~ q(s(X1)) ),
    c147 ).

cnf(c_0_276,negated_conjecture,
    ( ~ ap(X1)
    | ~ aq(X1) ),
    c002 ).

cnf(c_0_277,negated_conjecture,
    ( q(X1)
    | pp(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1) ),
    c182 ).

cnf(c_0_278,negated_conjecture,
    ( p(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ rr(X1) ),
    c167 ).

cnf(c_0_279,negated_conjecture,
    ( q(X1)
    | pp(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1) ),
    c181 ).

cnf(c_0_280,negated_conjecture,
    ( r(s(X1))
    | q(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_252,c_0_241]),c_0_253]) ).

cnf(c_0_281,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_256]) ).

cnf(c_0_282,negated_conjecture,
    ( qq(X1)
    | rr(X1)
    | p(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ r(X1) ),
    c166 ).

cnf(c_0_283,negated_conjecture,
    ( rr(s(X1))
    | qq(X1)
    | p(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[c_0_257,c_0_258]) ).

cnf(c_0_284,negated_conjecture,
    ( r(X1)
    | p(X1)
    | ~ ap(X1)
    | ~ rr(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ p(s(X1)) ),
    c221 ).

cnf(c_0_285,negated_conjecture,
    ( p(X1)
    | ~ r(X1)
    | ~ q(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[c_0_259,c_0_260]) ).

cnf(c_0_286,negated_conjecture,
    ( pr(X1)
    | rq(X1)
    | rr(X1)
    | qq(X1)
    | q(X1)
    | ~ r(X1)
    | ~ pp(X1)
    | ~ p(X1)
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263]),c_0_264]),c_0_265]),c_0_266]),c_0_267]),c_0_268]),c_0_269]),c_0_270]) ).

cnf(c_0_287,negated_conjecture,
    ( ~ aq(X1)
    | ~ p(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ q(s(X1)) ),
    c099 ).

cnf(c_0_288,negated_conjecture,
    ( r(s(s(X1)))
    | aq(X1)
    | ~ r(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_273]) ).

cnf(c_0_289,negated_conjecture,
    ( q(X1)
    | ~ r(X1)
    | ~ q(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[c_0_274,c_0_275]) ).

cnf(c_0_290,negated_conjecture,
    ( r(s(s(X1)))
    | r(X1)
    | ~ r(s(X1)) ),
    inference(spm,[status(thm)],[c_0_271,c_0_245]) ).

cnf(c_0_291,negated_conjecture,
    ( q(X1)
    | ~ q(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_276,c_0_275]) ).

cnf(c_0_292,negated_conjecture,
    ( q(X1)
    | rr(X1)
    | pp(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ r(X1)
    | ~ p(X1) ),
    c174 ).

cnf(c_0_293,negated_conjecture,
    ( rr(s(X1))
    | q(X1)
    | pp(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[c_0_277,c_0_258]) ).

cnf(c_0_294,negated_conjecture,
    ( qq(X1)
    | p(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ rr(X1) ),
    c177 ).

cnf(c_0_295,negated_conjecture,
    ( r(s(X1))
    | p(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_278,c_0_241]),c_0_253]) ).

cnf(c_0_296,negated_conjecture,
    ( q(X1)
    | rr(X1)
    | pp(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ r(X1)
    | ~ p(X1) ),
    c173 ).

cnf(c_0_297,negated_conjecture,
    ( r(s(X1))
    | q(X1)
    | ~ rr(X1)
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_279,c_0_241]),c_0_253]),c_0_280]) ).

cnf(c_0_298,negated_conjecture,
    ( aq(X1)
    | ap(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_272]),c_0_256]) ).

cnf(c_0_299,negated_conjecture,
    ( q(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_281,c_0_275]) ).

cnf(c_0_300,negated_conjecture,
    ( aq(X1)
    | q(s(X1))
    | ~ q(X1) ),
    c148 ).

cnf(c_0_301,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | pp(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1) ),
    c200 ).

cnf(c_0_302,negated_conjecture,
    ( rr(s(X1))
    | qq(X1)
    | p(X1)
    | ~ r(X1)
    | ~ q(X1)
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[c_0_282,c_0_283]) ).

cnf(c_0_303,negated_conjecture,
    ( r(X1)
    | rr(X1)
    | p(X1)
    | pp(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ q(X1) ),
    c170 ).

cnf(c_0_304,negated_conjecture,
    ( r(X1)
    | rr(X1)
    | p(X1)
    | ~ ap(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ p(s(X1)) ),
    c241 ).

cnf(c_0_305,negated_conjecture,
    ( p(X1)
    | ~ rr(X1)
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_284,c_0_260]),c_0_285]) ).

cnf(c_0_306,negated_conjecture,
    ( pr(X1)
    | rq(s(X1))
    | pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | rr(s(X1))
    | qq(s(X1))
    | q(s(X1))
    | pqr1(X1)
    | ~ r(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ ar(s(X1)) ),
    inference(spm,[status(thm)],[c_0_238,c_0_286]) ).

cnf(c_0_307,negated_conjecture,
    ( r(s(s(X1)))
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_289]),c_0_290]) ).

cnf(c_0_308,negated_conjecture,
    ( q(X1)
    | p(X1)
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_291,c_0_260]) ).

cnf(c_0_309,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | rr(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ pp(X1) ),
    c203 ).

cnf(c_0_310,negated_conjecture,
    ( rr(s(X1))
    | q(X1)
    | pp(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[c_0_292,c_0_293]) ).

cnf(c_0_311,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | r(X1)
    | rr(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ p(X1) ),
    c162 ).

cnf(c_0_312,negated_conjecture,
    ( qq(X1)
    | rr(X1)
    | p(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ r(X1) ),
    c165 ).

cnf(c_0_313,negated_conjecture,
    ( r(s(X1))
    | p(X1)
    | ~ rr(X1)
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_294,c_0_241]),c_0_253]),c_0_295]) ).

cnf(c_0_314,negated_conjecture,
    ( q(X1)
    | rr(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ pp(X1) ),
    c189 ).

cnf(c_0_315,negated_conjecture,
    ( r(s(X1))
    | q(X1)
    | pp(X1)
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_296,c_0_241]),c_0_253]),c_0_297]) ).

cnf(c_0_316,negated_conjecture,
    ( r(X1)
    | q(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ p(X1) ),
    c213 ).

cnf(c_0_317,negated_conjecture,
    ( ap(X1)
    | p(s(X1))
    | ~ p(X1) ),
    c264 ).

cnf(c_0_318,negated_conjecture,
    ( ap(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_298]),c_0_260]),c_0_299]),c_0_256]) ).

cnf(c_0_319,negated_conjecture,
    ( q(s(X1))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_276,c_0_300]) ).

cnf(c_0_320,negated_conjecture,
    ( ~ aq(X1)
    | ~ ap(s(X1)) ),
    inference(spm,[status(thm)],[c_0_240,c_0_255]) ).

cnf(c_0_321,negated_conjecture,
    ( rr(s(X1))
    | rr(X1)
    | pp(X1)
    | p(X1)
    | ~ q(X1)
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_301,c_0_302]),c_0_303]) ).

cnf(c_0_322,negated_conjecture,
    ( ~ ap(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_276,c_0_251]) ).

cnf(c_0_323,negated_conjecture,
    ( r(X1)
    | rr(X1)
    | p(X1)
    | pp(X1)
    | ~ ap(X1)
    | ~ q(X1)
    | ~ p(s(X1)) ),
    c219 ).

cnf(c_0_324,negated_conjecture,
    ( p(X1)
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_304,c_0_260]),c_0_285]),c_0_305]) ).

cnf(c_0_325,negated_conjecture,
    ( ~ aq(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_242,c_0_255]) ).

cnf(c_0_326,negated_conjecture,
    ( pr(X1)
    | rq(X1)
    | rpq4(X1)
    | rpq3(X1)
    | rpq2(X1)
    | rpq1(X1)
    | pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | rr(s(X1))
    | qq(s(X1))
    | q(s(X1))
    | pqr1(X1)
    | ~ r(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ ar(s(X1)) ),
    inference(spm,[status(thm)],[c_0_246,c_0_306]) ).

cnf(c_0_327,negated_conjecture,
    ( q(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_307]),c_0_308]) ).

cnf(c_0_328,negated_conjecture,
    ( q(X1)
    | ~ rpq4(X1) ),
    c087 ).

cnf(c_0_329,negated_conjecture,
    ( rr(s(X1))
    | rr(X1)
    | qq(X1)
    | q(X1)
    | ~ p(X1)
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_309,c_0_310]),c_0_311]) ).

cnf(c_0_330,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | p(X1)
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_312,c_0_241]),c_0_253]),c_0_313]) ).

cnf(c_0_331,negated_conjecture,
    ( r(s(X1))
    | q(X1)
    | ~ r(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_314,c_0_241]),c_0_253]),c_0_315]),c_0_297]) ).

cnf(c_0_332,negated_conjecture,
    ( q(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ pp(X1) ),
    c225 ).

cnf(c_0_333,negated_conjecture,
    ( r(X1)
    | q(X1)
    | p(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[c_0_316,c_0_317]) ).

cnf(c_0_334,negated_conjecture,
    ( p(X1)
    | q(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ pp(X1)
    | ~ qq(X1)
    | ~ p(s(X1)) ),
    c229 ).

cnf(c_0_335,negated_conjecture,
    ( ap(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_307]),c_0_260]) ).

cnf(c_0_336,negated_conjecture,
    ( q(s(s(X1)))
    | ~ q(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_319,c_0_249]) ).

cnf(c_0_337,negated_conjecture,
    ( ar(X1)
    | rr(X1)
    | ~ rr(s(X1)) ),
    c207 ).

cnf(c_0_338,negated_conjecture,
    ( p(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_320,c_0_260]) ).

cnf(c_0_339,negated_conjecture,
    ( rr(s(X1))
    | rr(X1)
    | pp(X1)
    | p(X1)
    | aq(X1)
    | ap(X1)
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_321,c_0_272]) ).

cnf(c_0_340,negated_conjecture,
    ( p(s(X1))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_322,c_0_260]) ).

cnf(c_0_341,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | ~ q(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_323,c_0_260]),c_0_324]),c_0_285]) ).

cnf(c_0_342,negated_conjecture,
    ( q(s(s(X1)))
    | ~ q(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_325,c_0_300]) ).

cnf(c_0_343,negated_conjecture,
    ( pr(X1)
    | rq(X1)
    | rpq3(X1)
    | rpq2(X1)
    | pqr3(X1)
    | rr(s(X1))
    | qq(s(X1))
    | q(X1)
    | pqr1(X1)
    | ~ r(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ ar(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_326]),c_0_327]),c_0_264]),c_0_267]),c_0_328]) ).

cnf(c_0_344,negated_conjecture,
    ( rr(s(X1))
    | r(s(X1))
    | q(X1)
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_241]),c_0_330]),c_0_331]),c_0_297]) ).

cnf(c_0_345,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ pp(X1) ),
    c235 ).

cnf(c_0_346,negated_conjecture,
    ( q(X1)
    | p(s(X1))
    | ~ rr(X1)
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_332,c_0_317]),c_0_333]) ).

cnf(c_0_347,negated_conjecture,
    ( p(X1)
    | q(X1)
    | qq(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    c237 ).

cnf(c_0_348,negated_conjecture,
    ( p(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_334,c_0_260]),c_0_285]) ).

cnf(c_0_349,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_322,c_0_335]) ).

cnf(c_0_350,negated_conjecture,
    ( rr(X1)
    | q(s(s(X1)))
    | ~ rr(s(X1))
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_336,c_0_337]) ).

cnf(c_0_351,negated_conjecture,
    ( rr(s(X1))
    | rr(X1)
    | pp(X1)
    | p(X1)
    | ~ q(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_339]),c_0_340]),c_0_341]) ).

cnf(c_0_352,negated_conjecture,
    ( q(s(s(X1)))
    | q(X1)
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_342,c_0_275]) ).

cnf(c_0_353,negated_conjecture,
    ( r(X1)
    | p(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ rr(X1)
    | ~ pp(X1)
    | ~ r(s(X1)) ),
    c171 ).

cnf(c_0_354,negated_conjecture,
    ( pr(X1)
    | rq(X1)
    | rpq3(X1)
    | rpq2(X1)
    | rr(s(X1))
    | qq(s(X1))
    | q(X1)
    | pqr1(X1)
    | ~ r(X1)
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ ar(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_343]),c_0_344]) ).

cnf(c_0_355,negated_conjecture,
    ( ~ rpq3(X1)
    | ~ p(X1) ),
    c078 ).

cnf(c_0_356,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | q(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ p(X1) ),
    c223 ).

cnf(c_0_357,negated_conjecture,
    ( q(X1)
    | p(s(X1))
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_345,c_0_317]),c_0_333]),c_0_346]) ).

cnf(c_0_358,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | q(X1)
    | qq(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ p(s(X1)) ),
    c227 ).

cnf(c_0_359,negated_conjecture,
    ( p(X1)
    | ~ r(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_347,c_0_260]),c_0_285]),c_0_348]) ).

cnf(c_0_360,negated_conjecture,
    ( ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_349,c_0_273]) ).

cnf(c_0_361,negated_conjecture,
    ( rr(X1)
    | q(s(s(X1)))
    | pp(X1)
    | p(X1)
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_351]),c_0_352]) ).

cnf(c_0_362,negated_conjecture,
    ( r(s(X1))
    | p(s(X1))
    | ~ r(X1)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_248,c_0_317]) ).

cnf(c_0_363,negated_conjecture,
    ( p(s(s(X1)))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_322,c_0_317]) ).

cnf(c_0_364,negated_conjecture,
    ( q(X1)
    | r(X1)
    | ~ ar(X1)
    | ~ qq(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ r(s(X1)) ),
    c163 ).

cnf(c_0_365,negated_conjecture,
    ( r(X1)
    | p(X1)
    | pp(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ rr(X1)
    | ~ r(s(X1)) ),
    c179 ).

cnf(c_0_366,negated_conjecture,
    ( r(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_353,c_0_245]),c_0_256]) ).

cnf(c_0_367,negated_conjecture,
    ( rr(X1)
    | ~ rpq2(X1) ),
    c070 ).

cnf(c_0_368,negated_conjecture,
    ( pr(X1)
    | rq(X1)
    | rpq2(X1)
    | rr(s(X1))
    | qq(s(X1))
    | q(X1)
    | ~ r(X1)
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ p(X1)
    | ~ ar(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_354]),c_0_355]) ).

cnf(c_0_369,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | p(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_356,c_0_317]),c_0_333]),c_0_357]) ).

cnf(c_0_370,negated_conjecture,
    ( q(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ r(X1)
    | ~ qq(s(X1)) ),
    c102 ).

cnf(c_0_371,negated_conjecture,
    ( ~ aq(X1)
    | ~ p(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ qq(s(X1)) ),
    c100 ).

cnf(c_0_372,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | q(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ p(s(X1)) ),
    c245 ).

cnf(c_0_373,negated_conjecture,
    ( qq(X1)
    | p(X1)
    | ~ r(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_358,c_0_260]),c_0_359]),c_0_285]) ).

cnf(c_0_374,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | p(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_360,c_0_361]) ).

cnf(c_0_375,negated_conjecture,
    ( p(s(s(X1)))
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_362]),c_0_363]) ).

cnf(c_0_376,negated_conjecture,
    ( r(X1)
    | ~ r(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_240,c_0_245]) ).

cnf(c_0_377,negated_conjecture,
    ( r(X1)
    | ~ r(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_242,c_0_245]) ).

cnf(c_0_378,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | r(X1)
    | ~ ar(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ r(s(X1)) ),
    c183 ).

cnf(c_0_379,negated_conjecture,
    ( r(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_364,c_0_245]),c_0_256]) ).

cnf(c_0_380,negated_conjecture,
    ( pp(X1)
    | q(X1)
    | qq(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ p(s(X1)) ),
    c257 ).

cnf(c_0_381,negated_conjecture,
    ( ~ ap(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ q(X1)
    | ~ p(s(X1)) ),
    c215 ).

cnf(c_0_382,negated_conjecture,
    ( r(X1)
    | rr(X1)
    | p(X1)
    | pp(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ r(s(X1)) ),
    c169 ).

cnf(c_0_383,negated_conjecture,
    ( r(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_365,c_0_245]),c_0_256]),c_0_366]) ).

cnf(c_0_384,negated_conjecture,
    ( p(X1)
    | r(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ q(X1) ),
    c097 ).

cnf(c_0_385,negated_conjecture,
    ( pr(X1)
    | rq(X1)
    | rr(s(X1))
    | rr(X1)
    | qq(s(X1))
    | q(X1)
    | ~ r(X1)
    | ~ pp(s(X1))
    | ~ p(X1)
    | ~ ar(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_368]),c_0_369]) ).

cnf(c_0_386,negated_conjecture,
    ( ~ r(X1)
    | ~ qq(s(X1))
    | ~ p(X1)
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[c_0_370,c_0_371]) ).

cnf(c_0_387,negated_conjecture,
    ( rr(s(X1))
    | ~ rr(X1)
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_242,c_0_258]) ).

cnf(c_0_388,negated_conjecture,
    ( p(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_372,c_0_260]),c_0_373]),c_0_359]),c_0_285]) ).

cnf(c_0_389,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | p(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_260]) ).

cnf(c_0_390,negated_conjecture,
    ( r(X1)
    | p(X1)
    | ~ r(s(X1))
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_376,c_0_260]) ).

cnf(c_0_391,negated_conjecture,
    ( r(s(X1))
    | ~ r(s(s(X1)))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_376,c_0_249]) ).

cnf(c_0_392,negated_conjecture,
    ( r(s(X1))
    | ~ r(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_377,c_0_251]) ).

cnf(c_0_393,negated_conjecture,
    ( q(X1)
    | r(X1)
    | p(X1)
    | r(s(X1))
    | ~ ar(X1) ),
    c153 ).

cnf(c_0_394,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | r(X1)
    | rr(X1)
    | ~ ar(X1)
    | ~ p(X1)
    | ~ r(s(X1)) ),
    c161 ).

cnf(c_0_395,negated_conjecture,
    ( r(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_378,c_0_245]),c_0_256]),c_0_379]) ).

cnf(c_0_396,negated_conjecture,
    ( qq(X1)
    | q(X1)
    | pp(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[c_0_380,c_0_373]) ).

cnf(c_0_397,negated_conjecture,
    ( ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_249]),c_0_285]) ).

cnf(c_0_398,negated_conjecture,
    ( qq(X1)
    | r(X1)
    | rr(X1)
    | p(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ pp(X1) ),
    c197 ).

cnf(c_0_399,negated_conjecture,
    ( r(X1)
    | rr(X1)
    | p(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ r(s(X1)) ),
    c187 ).

cnf(c_0_400,negated_conjecture,
    ( r(X1)
    | pp(X1)
    | ~ r(s(X1))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_382,c_0_245]),c_0_256]),c_0_383]) ).

cnf(c_0_401,negated_conjecture,
    ( p(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ rr(X1) ),
    c117 ).

cnf(c_0_402,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | p(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[c_0_384,c_0_300]) ).

cnf(c_0_403,negated_conjecture,
    ( pr(X1)
    | rq(X1)
    | rr(s(X1))
    | q(X1)
    | ~ r(X1)
    | ~ pp(s(X1))
    | ~ p(X1)
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_255]),c_0_386]),c_0_387]) ).

cnf(c_0_404,negated_conjecture,
    ( pp(X1)
    | p(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_389]),c_0_390]) ).

cnf(c_0_405,negated_conjecture,
    ( p(X1)
    | q(X1)
    | r(X1)
    | q(s(X1))
    | ~ aq(X1) ),
    c095 ).

cnf(c_0_406,negated_conjecture,
    ( r(s(X1))
    | aq(X1)
    | ~ r(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_272]),c_0_392]) ).

cnf(c_0_407,negated_conjecture,
    ( r(s(X1))
    | ~ r(s(s(X1)))
    | ~ r(X1) ),
    inference(spm,[status(thm)],[c_0_391,c_0_241]) ).

cnf(c_0_408,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(X1))
    | p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_255]),c_0_253]) ).

cnf(c_0_409,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | rr(X1)
    | ~ ar(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ r(s(X1)) ),
    c202 ).

cnf(c_0_410,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | ~ r(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_394,c_0_245]),c_0_256]),c_0_395]) ).

cnf(c_0_411,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ p(s(s(X1)))
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_249]),c_0_397]) ).

cnf(c_0_412,negated_conjecture,
    ( rr(s(X1))
    | rr(X1)
    | qq(X1)
    | p(X1)
    | ~ q(X1)
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_398,c_0_321]),c_0_302]) ).

cnf(c_0_413,negated_conjecture,
    ( r(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_399,c_0_245]),c_0_400]),c_0_256]),c_0_383]) ).

cnf(c_0_414,negated_conjecture,
    ( p(X1)
    | rr(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1) ),
    c123 ).

cnf(c_0_415,negated_conjecture,
    ( q(s(X1))
    | p(X1)
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_401,c_0_300]),c_0_402]) ).

cnf(c_0_416,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | pp(X1)
    | q(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ rq(s(X1)) ),
    c256 ).

cnf(c_0_417,negated_conjecture,
    ( pr(X1)
    | rq(s(X1))
    | pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | rr(s(s(X1)))
    | q(s(X1))
    | pqr1(X1)
    | ~ r(s(X1))
    | ~ pp(s(s(X1)))
    | ~ p(s(X1))
    | ~ aq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_238,c_0_403]) ).

cnf(c_0_418,negated_conjecture,
    ( pp(X1)
    | ~ pqr1(X1) ),
    c007 ).

cnf(c_0_419,negated_conjecture,
    ( q(s(X1))
    | p(X1)
    | ~ q(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_319,c_0_260]) ).

cnf(c_0_420,negated_conjecture,
    ( p(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_404]),c_0_390]) ).

cnf(c_0_421,negated_conjecture,
    ( p(X1)
    | ~ pqr2(X1) ),
    c013 ).

cnf(c_0_422,negated_conjecture,
    ( p(X1)
    | ~ pqr3(X1) ),
    c020 ).

cnf(c_0_423,negated_conjecture,
    ( rr(X1)
    | ~ pqr4(X1) ),
    c032 ).

cnf(c_0_424,negated_conjecture,
    ( r(s(X1))
    | q(X1)
    | p(X1)
    | aq(X1)
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_272]),c_0_253]) ).

cnf(c_0_425,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | p(X1)
    | ~ r(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_406]),c_0_402]),c_0_407]) ).

cnf(c_0_426,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(X1))
    | p(s(X1))
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_408,c_0_300]) ).

cnf(c_0_427,negated_conjecture,
    ( q(s(X1))
    | p(s(X1))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_319,c_0_317]) ).

cnf(c_0_428,negated_conjecture,
    ( r(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ p(X1)
    | ~ rr(s(X1)) ),
    c160 ).

cnf(c_0_429,negated_conjecture,
    ( ~ ar(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ rr(s(X1)) ),
    c158 ).

cnf(c_0_430,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | q(X1)
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(X1)
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[c_0_409,c_0_410]) ).

cnf(c_0_431,negated_conjecture,
    ( aq(X1)
    | qq(X1)
    | ~ qq(s(X1)) ),
    c149 ).

cnf(c_0_432,negated_conjecture,
    ( r(X1)
    | qq(s(X1))
    | pp(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_411,c_0_245]) ).

cnf(c_0_433,negated_conjecture,
    ( rr(s(X1))
    | r(X1)
    | ~ r(s(X1))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_245]),c_0_410]),c_0_413]),c_0_383]) ).

cnf(c_0_434,negated_conjecture,
    ( rr(s(X1))
    | rr(X1)
    | qq(X1)
    | p(X1)
    | aq(X1)
    | ap(X1)
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_412,c_0_272]) ).

cnf(c_0_435,negated_conjecture,
    ( p(X1)
    | qq(X1)
    | rr(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ q(X1)
    | ~ r(X1) ),
    c115 ).

cnf(c_0_436,negated_conjecture,
    ( q(s(X1))
    | p(X1)
    | ~ qq(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_414,c_0_300]),c_0_402]),c_0_415]) ).

cnf(c_0_437,negated_conjecture,
    ( rr(X1)
    | ~ rr(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_242,c_0_337]) ).

cnf(c_0_438,negated_conjecture,
    ( pr(X1)
    | rr(s(s(X1)))
    | rr(X1)
    | pp(X1)
    | p(X1)
    | ~ r(s(X1))
    | ~ pp(s(s(X1)))
    | ~ p(s(X1))
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_416,c_0_417]),c_0_260]),c_0_373]),c_0_390]),c_0_418]),c_0_419]),c_0_420]),c_0_421]),c_0_422]),c_0_423]) ).

cnf(c_0_439,negated_conjecture,
    ( r(X1)
    | p(X1)
    | q(X1)
    | p(s(X1))
    | ~ ap(X1) ),
    c211 ).

cnf(c_0_440,negated_conjecture,
    ( r(s(X1))
    | r(X1)
    | q(s(X1))
    | p(X1)
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_424]),c_0_402]) ).

cnf(c_0_441,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | ~ r(s(X1))
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_377,c_0_300]) ).

cnf(c_0_442,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | p(s(X1))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_426]),c_0_427]) ).

cnf(c_0_443,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ q(X1)
    | ~ p(X1)
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[c_0_428,c_0_429]) ).

cnf(c_0_444,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_255]),c_0_281]) ).

cnf(c_0_445,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | ~ r(s(X1))
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_377,c_0_431]) ).

cnf(c_0_446,negated_conjecture,
    ( r(X1)
    | qq(s(X1))
    | pp(s(X1))
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_432,c_0_433]) ).

cnf(c_0_447,negated_conjecture,
    ( rr(X1)
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_397,c_0_337]) ).

cnf(c_0_448,negated_conjecture,
    ( rr(s(X1))
    | rr(X1)
    | qq(X1)
    | p(X1)
    | ~ q(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_434]),c_0_340]),c_0_341]) ).

cnf(c_0_449,negated_conjecture,
    ( rr(X1)
    | q(s(X1))
    | p(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_435,c_0_300]),c_0_402]),c_0_436]) ).

cnf(c_0_450,negated_conjecture,
    ( aq(X1)
    | qq(s(X1))
    | ~ qq(X1) ),
    c150 ).

cnf(c_0_451,negated_conjecture,
    ( rr(s(X1))
    | ~ rr(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_437,c_0_251]) ).

cnf(c_0_452,negated_conjecture,
    ( pr(X1)
    | rr(s(s(X1)))
    | rr(X1)
    | pp(X1)
    | p(X1)
    | ~ r(s(X1))
    | ~ pp(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_251]),c_0_260]) ).

cnf(c_0_453,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ pp(X1) ),
    c236 ).

cnf(c_0_454,negated_conjecture,
    ( ap(X1)
    | pp(s(X1))
    | ~ pp(X1) ),
    c266 ).

cnf(c_0_455,negated_conjecture,
    ( r(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ qq(X1) ),
    c233 ).

cnf(c_0_456,negated_conjecture,
    ( q(s(X1))
    | ~ q(s(s(X1)))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_291,c_0_249]) ).

cnf(c_0_457,negated_conjecture,
    ( q(s(X1))
    | ~ q(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_325,c_0_275]) ).

cnf(c_0_458,negated_conjecture,
    ( r(s(X1))
    | r(X1)
    | q(s(X1))
    | q(X1)
    | p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_440]),c_0_333]) ).

cnf(c_0_459,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | p(s(X1))
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_441,c_0_442]) ).

cnf(c_0_460,negated_conjecture,
    ( ~ rr(s(s(X1)))
    | ~ q(s(X1))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_443,c_0_255]) ).

cnf(c_0_461,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_298]),c_0_260]),c_0_410]) ).

cnf(c_0_462,negated_conjecture,
    ( qq(s(s(X1)))
    | pp(s(s(X1)))
    | ~ rr(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_411,c_0_255]) ).

cnf(c_0_463,negated_conjecture,
    ( r(X1)
    | pp(s(X1))
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_446]),c_0_413]) ).

cnf(c_0_464,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | p(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_448]),c_0_449]) ).

cnf(c_0_465,negated_conjecture,
    ( qq(s(s(X1)))
    | ~ qq(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_325,c_0_450]) ).

cnf(c_0_466,negated_conjecture,
    ( pr(X1)
    | rr(s(X1))
    | rr(X1)
    | pp(X1)
    | p(X1)
    | ~ r(s(X1))
    | ~ pp(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_452]),c_0_260]) ).

cnf(c_0_467,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | pp(s(X1))
    | ~ r(X1)
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[c_0_453,c_0_454]) ).

cnf(c_0_468,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1) ),
    c239 ).

cnf(c_0_469,negated_conjecture,
    ( r(X1)
    | p(s(X1))
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_455,c_0_317]),c_0_333]) ).

cnf(c_0_470,negated_conjecture,
    ( q(s(X1))
    | ap(X1)
    | ~ q(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_456,c_0_272]),c_0_457]) ).

cnf(c_0_471,negated_conjecture,
    ( r(s(X1))
    | q(s(s(X1)))
    | p(s(s(X1)))
    | p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_458]),c_0_459]) ).

cnf(c_0_472,negated_conjecture,
    ( qq(s(X1))
    | ~ qq(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_325,c_0_431]) ).

cnf(c_0_473,negated_conjecture,
    ( qq(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_461]),c_0_260]),c_0_320]) ).

cnf(c_0_474,negated_conjecture,
    ( qq(s(s(X1)))
    | pp(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_283]),c_0_463]),c_0_464]),c_0_281]),c_0_465]) ).

cnf(c_0_475,negated_conjecture,
    ( qq(X1)
    | p(s(X1))
    | ~ qq(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_338,c_0_431]) ).

cnf(c_0_476,negated_conjecture,
    ( rr(X1)
    | ~ rr(s(X1))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_443,c_0_337]) ).

cnf(c_0_477,negated_conjecture,
    ( q(X1)
    | r(X1)
    | rr(X1)
    | ~ ar(X1)
    | ~ qq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ r(s(X1)) ),
    c191 ).

cnf(c_0_478,negated_conjecture,
    ( pr(X1)
    | rr(s(X1))
    | rr(X1)
    | pp(X1)
    | p(X1)
    | ~ r(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_467]),c_0_420]) ).

cnf(c_0_479,negated_conjecture,
    ( pp(X1)
    | q(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ qq(X1) ),
    c243 ).

cnf(c_0_480,negated_conjecture,
    ( r(X1)
    | pp(X1)
    | qq(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ p(X1)
    | ~ q(X1) ),
    c231 ).

cnf(c_0_481,negated_conjecture,
    ( r(X1)
    | p(s(X1))
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_468,c_0_317]),c_0_333]),c_0_469]) ).

cnf(c_0_482,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | pp(X1)
    | q(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ qq(X1) ),
    c254 ).

cnf(c_0_483,negated_conjecture,
    ( r(s(X1))
    | q(X1)
    | p(s(X1))
    | p(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_424]),c_0_340]) ).

cnf(c_0_484,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | p(s(s(X1)))
    | p(X1)
    | ap(X1) ),
    inference(spm,[status(thm)],[c_0_470,c_0_471]) ).

cnf(c_0_485,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_472,c_0_473]) ).

cnf(c_0_486,negated_conjecture,
    ( qq(s(X1))
    | pp(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_472,c_0_474]) ).

cnf(c_0_487,negated_conjecture,
    ( qq(X1)
    | p(s(X1))
    | ~ r(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_475,c_0_373]) ).

cnf(c_0_488,negated_conjecture,
    ( r(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_391,c_0_255]) ).

cnf(c_0_489,negated_conjecture,
    ( ap(X1)
    | ~ r(s(X1))
    | ~ qq(s(X1))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_298]),c_0_256]) ).

cnf(c_0_490,negated_conjecture,
    ( rr(X1)
    | qq(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_461]),c_0_260]) ).

cnf(c_0_491,negated_conjecture,
    ( r(X1)
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_477,c_0_245]),c_0_410]),c_0_256]),c_0_395]) ).

cnf(c_0_492,negated_conjecture,
    ( aq(X1)
    | ~ pqr4(X1) ),
    c033 ).

cnf(c_0_493,negated_conjecture,
    ( pr(X1)
    | pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | rr(s(s(X1)))
    | rr(s(X1))
    | pp(s(X1))
    | p(s(X1))
    | pqr1(X1)
    | ~ r(s(s(X1)))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_238,c_0_478]) ).

cnf(c_0_494,negated_conjecture,
    ( r(X1)
    | pp(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ q(X1)
    | ~ qq(X1) ),
    c247 ).

cnf(c_0_495,negated_conjecture,
    ( q(X1)
    | p(s(X1))
    | ~ qq(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_479,c_0_317]),c_0_333]),c_0_369]),c_0_357]) ).

cnf(c_0_496,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | p(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_480,c_0_317]),c_0_333]),c_0_481]) ).

cnf(c_0_497,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | pp(X1)
    | p(s(X1))
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_482,c_0_439]),c_0_369]) ).

cnf(c_0_498,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | p(s(X1))
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_484]),c_0_317]),c_0_442]) ).

cnf(c_0_499,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_485,c_0_486]),c_0_487]),c_0_488]) ).

cnf(c_0_500,negated_conjecture,
    ( r(s(s(s(X1))))
    | ~ r(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_271,c_0_255]) ).

cnf(c_0_501,negated_conjecture,
    ( p(s(s(X1)))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_320,c_0_317]) ).

cnf(c_0_502,negated_conjecture,
    ( rr(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_490]),c_0_260]),c_0_491]) ).

cnf(c_0_503,negated_conjecture,
    ( aq(X1)
    | ~ pqr3(X1) ),
    c026 ).

cnf(c_0_504,negated_conjecture,
    ( pr(X1)
    | pqr3(X1)
    | pqr2(X1)
    | rr(s(s(X1)))
    | rr(s(X1))
    | pp(s(X1))
    | p(s(X1))
    | pqr1(X1)
    | ~ r(s(s(X1)))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_493]),c_0_338]) ).

cnf(c_0_505,negated_conjecture,
    ( r(s(s(X1)))
    | r(s(X1))
    | q(s(s(X1)))
    | p(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_320,c_0_440]) ).

cnf(c_0_506,negated_conjecture,
    ( r(s(X1))
    | q(s(s(X1)))
    | p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_251]),c_0_402]) ).

cnf(c_0_507,negated_conjecture,
    ( r(X1)
    | p(s(X1))
    | ~ rr(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_494,c_0_317]),c_0_495]),c_0_496]),c_0_481]) ).

cnf(c_0_508,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | q(s(X1))
    | pp(X1)
    | p(s(X1))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_498]),c_0_442]) ).

cnf(c_0_509,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | p(s(X1))
    | ~ r(X1) ),
    inference(spm,[status(thm)],[c_0_248,c_0_498]) ).

cnf(c_0_510,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_499,c_0_500]) ).

cnf(c_0_511,negated_conjecture,
    ( p(s(s(X1)))
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_298]),c_0_260]),c_0_363]) ).

cnf(c_0_512,negated_conjecture,
    ( rr(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_502,c_0_454]) ).

cnf(c_0_513,negated_conjecture,
    ( ~ pqr2(X1)
    | ~ qq(X1) ),
    c016 ).

cnf(c_0_514,negated_conjecture,
    ( pr(X1)
    | pqr2(X1)
    | rr(s(s(X1)))
    | rr(s(X1))
    | pp(s(X1))
    | p(s(X1))
    | pqr1(X1)
    | ~ r(s(s(X1)))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_504]),c_0_338]) ).

cnf(c_0_515,negated_conjecture,
    ( ~ pqr1(X1)
    | ~ qq(X1) ),
    c009 ).

cnf(c_0_516,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | q(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ p(X1) ),
    c224 ).

cnf(c_0_517,negated_conjecture,
    ( r(s(s(X1)))
    | r(s(X1))
    | q(s(s(X1)))
    | q(X1)
    | p(s(X1))
    | p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_424]),c_0_506]) ).

cnf(c_0_518,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | p(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_508]),c_0_496]),c_0_481]),c_0_509]) ).

cnf(c_0_519,negated_conjecture,
    ( r(X1)
    | p(X1)
    | pp(X1)
    | ~ ap(X1)
    | ~ rr(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ p(s(X1)) ),
    c249 ).

cnf(c_0_520,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_510,c_0_511]) ).

cnf(c_0_521,negated_conjecture,
    ( aq(X1)
    | ap(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_397,c_0_272]) ).

cnf(c_0_522,negated_conjecture,
    ( r(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_290]),c_0_400]),c_0_376]),c_0_383]) ).

cnf(c_0_523,negated_conjecture,
    ( rr(X1)
    | ~ rr(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_240,c_0_337]) ).

cnf(c_0_524,negated_conjecture,
    ( pr(X1)
    | rr(s(s(X1)))
    | rr(s(X1))
    | pp(s(X1))
    | p(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ pp(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_514]),c_0_515]) ).

cnf(c_0_525,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | pp(X1)
    | q(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ qq(X1) ),
    c255 ).

cnf(c_0_526,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | q(X1)
    | qq(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ r(X1) ),
    c228 ).

cnf(c_0_527,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | pp(s(X1))
    | ~ r(X1)
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[c_0_516,c_0_467]) ).

cnf(c_0_528,negated_conjecture,
    ( r(s(X1))
    | q(s(s(X1)))
    | p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_517]),c_0_518]),c_0_442]),c_0_402]) ).

cnf(c_0_529,negated_conjecture,
    ( p(X1)
    | ~ qq(X1)
    | ~ q(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_519,c_0_260]),c_0_341]),c_0_324]),c_0_285]) ).

cnf(c_0_530,negated_conjecture,
    ( qq(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_520,c_0_521]),c_0_522]) ).

cnf(c_0_531,negated_conjecture,
    ( pr(X1)
    | rr(s(X1))
    | pp(s(X1))
    | p(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ pp(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_524]),c_0_260]) ).

cnf(c_0_532,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | pp(s(X1))
    | pp(X1)
    | ~ r(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_525,c_0_526]),c_0_527]) ).

cnf(c_0_533,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | p(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_308,c_0_528]) ).

cnf(c_0_534,negated_conjecture,
    ( p(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_529,c_0_530]),c_0_340]) ).

cnf(c_0_535,negated_conjecture,
    ( q(X1)
    | r(X1)
    | p(X1)
    | ~ ar(X1)
    | ~ rr(s(X1)) ),
    c154 ).

cnf(c_0_536,negated_conjecture,
    ( q(X1)
    | p(X1)
    | ~ ar(X1)
    | ~ r(X1)
    | ~ rr(s(X1)) ),
    c156 ).

cnf(c_0_537,negated_conjecture,
    ( p(X1)
    | q(X1)
    | ~ aq(X1)
    | ~ pp(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ q(s(X1)) ),
    c105 ).

cnf(c_0_538,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | qq(X1)
    | ~ aq(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ pr(s(X1)) ),
    c146 ).

cnf(c_0_539,negated_conjecture,
    ( pr(X1)
    | rr(s(X1))
    | pp(s(X1))
    | p(s(X1))
    | ~ r(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_532]),c_0_260]),c_0_487]),c_0_533]),c_0_534]) ).

cnf(c_0_540,negated_conjecture,
    ( q(X1)
    | p(X1)
    | ~ rr(s(X1))
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[c_0_535,c_0_536]) ).

cnf(c_0_541,negated_conjecture,
    ( rr(s(X1))
    | q(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_497,c_0_249]) ).

cnf(c_0_542,negated_conjecture,
    ( p(X1)
    | rr(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1) ),
    c124 ).

cnf(c_0_543,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | q(X1)
    | ~ aq(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ q(s(X1)) ),
    c125 ).

cnf(c_0_544,negated_conjecture,
    ( q(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_537,c_0_275]),c_0_289]) ).

cnf(c_0_545,negated_conjecture,
    ( rr(s(s(X1)))
    | qq(X1)
    | pp(s(s(X1)))
    | pp(X1)
    | p(s(s(X1)))
    | p(X1)
    | ~ rr(X1)
    | ~ r(s(s(s(X1))))
    | ~ r(X1)
    | ~ q(X1)
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_538,c_0_539]) ).

cnf(c_0_546,negated_conjecture,
    ( q(s(X1))
    | p(s(X1))
    | ~ rr(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_540,c_0_255]) ).

cnf(c_0_547,negated_conjecture,
    ( rr(s(s(X1)))
    | q(s(s(X1)))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_541,c_0_255]) ).

cnf(c_0_548,negated_conjecture,
    ( p(X1)
    | qq(X1)
    | rr(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ q(X1)
    | ~ r(X1) ),
    c116 ).

cnf(c_0_549,negated_conjecture,
    ( rr(X1)
    | qq(s(X1))
    | p(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[c_0_542,c_0_450]) ).

cnf(c_0_550,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | q(X1)
    | qq(X1)
    | ~ aq(X1)
    | ~ r(X1)
    | ~ q(s(X1)) ),
    c103 ).

cnf(c_0_551,negated_conjecture,
    ( q(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_543,c_0_275]),c_0_289]),c_0_544]) ).

cnf(c_0_552,negated_conjecture,
    ( qq(X1)
    | pp(s(s(X1)))
    | pp(X1)
    | p(s(s(X1)))
    | p(X1)
    | ~ rr(X1)
    | ~ r(s(s(s(X1))))
    | ~ r(X1)
    | ~ q(X1)
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_545]),c_0_488]) ).

cnf(c_0_553,negated_conjecture,
    ( q(s(s(X1)))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | p(s(X1))
    | ~ qq(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_547]),c_0_342]) ).

cnf(c_0_554,negated_conjecture,
    ( p(X1)
    | q(X1)
    | r(X1)
    | ~ aq(X1)
    | ~ qq(s(X1)) ),
    c096 ).

cnf(c_0_555,negated_conjecture,
    ( p(X1)
    | r(X1)
    | ~ aq(X1)
    | ~ q(X1)
    | ~ qq(s(X1)) ),
    c098 ).

cnf(c_0_556,negated_conjecture,
    ( p(X1)
    | q(X1)
    | qq(X1)
    | rr(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ pp(X1)
    | ~ r(X1) ),
    c136 ).

cnf(c_0_557,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | q(X1)
    | qq(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ r(X1) ),
    c104 ).

cnf(c_0_558,negated_conjecture,
    ( rr(X1)
    | qq(s(X1))
    | p(X1)
    | ~ r(X1)
    | ~ q(X1)
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[c_0_548,c_0_549]) ).

cnf(c_0_559,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | qq(X1)
    | ~ aq(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ q(s(X1)) ),
    c144 ).

cnf(c_0_560,negated_conjecture,
    ( q(X1)
    | pp(X1)
    | ~ r(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_550,c_0_275]),c_0_289]),c_0_551]) ).

cnf(c_0_561,negated_conjecture,
    ( qq(X1)
    | pp(X1)
    | p(s(s(X1)))
    | p(X1)
    | ~ rr(X1)
    | ~ r(s(s(s(X1))))
    | ~ r(X1)
    | ~ q(X1)
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_552]),c_0_488]) ).

cnf(c_0_562,negated_conjecture,
    ( r(s(X1))
    | p(X1)
    | ~ r(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_248,c_0_260]) ).

cnf(c_0_563,negated_conjecture,
    ( ap(X1)
    | pp(X1)
    | ~ pp(s(X1)) ),
    c265 ).

cnf(c_0_564,negated_conjecture,
    ( q(s(s(X1)))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | p(s(X1))
    | ~ qq(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_553,c_0_465]) ).

cnf(c_0_565,negated_conjecture,
    ( r(X1)
    | p(X1)
    | ~ qq(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[c_0_554,c_0_555]) ).

cnf(c_0_566,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_320,c_0_498]) ).

cnf(c_0_567,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | qq(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ rr(X1) ),
    c145 ).

cnf(c_0_568,negated_conjecture,
    ( rr(X1)
    | qq(s(X1))
    | qq(X1)
    | p(X1)
    | ~ r(X1)
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_556,c_0_557]),c_0_558]) ).

cnf(c_0_569,negated_conjecture,
    ( p(X1)
    | qq(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ rr(X1) ),
    c131 ).

cnf(c_0_570,negated_conjecture,
    ( qq(X1)
    | pp(X1)
    | p(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ q(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[c_0_559,c_0_560]) ).

cnf(c_0_571,negated_conjecture,
    ( ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_251]),c_0_289]) ).

cnf(c_0_572,negated_conjecture,
    ( qq(X1)
    | pp(X1)
    | p(s(s(X1)))
    | p(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(X1)
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_561,c_0_562]) ).

cnf(c_0_573,negated_conjecture,
    ( q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(s(X1))))
    | p(s(X1))
    | ~ qq(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_564]),c_0_320]) ).

cnf(c_0_574,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | p(X1)
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_565,c_0_431]) ).

cnf(c_0_575,negated_conjecture,
    ( r(s(s(X1)))
    | qq(X1)
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_566,c_0_431]) ).

cnf(c_0_576,negated_conjecture,
    ( qq(X1)
    | p(s(s(X1)))
    | ~ qq(s(X1))
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_501,c_0_431]) ).

cnf(c_0_577,negated_conjecture,
    ( qq(s(X1))
    | qq(X1)
    | pp(X1)
    | p(X1)
    | ~ r(X1)
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_567,c_0_557]),c_0_568]) ).

cnf(c_0_578,negated_conjecture,
    ( q(s(X1))
    | p(X1)
    | ~ q(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_569,c_0_300]),c_0_402]),c_0_449]),c_0_436]) ).

cnf(c_0_579,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_570,c_0_251]),c_0_571]) ).

cnf(c_0_580,negated_conjecture,
    ( rr(s(X1))
    | ~ rr(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_240,c_0_258]) ).

cnf(c_0_581,negated_conjecture,
    ( qq(X1)
    | q(s(s(X1)))
    | pp(s(X1))
    | pp(X1)
    | p(s(s(X1)))
    | p(X1)
    | ~ rr(X1)
    | ~ qq(s(X1))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_573]),c_0_431]),c_0_574]),c_0_575]),c_0_576]) ).

cnf(c_0_582,negated_conjecture,
    ( qq(s(X1))
    | q(s(X1))
    | p(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_300]),c_0_402]),c_0_578]),c_0_436]) ).

cnf(c_0_583,negated_conjecture,
    ( q(s(X1))
    | ~ q(s(s(X1)))
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_457,c_0_300]) ).

cnf(c_0_584,negated_conjecture,
    ( p(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ q(X1)
    | ~ pp(s(X1)) ),
    c218 ).

cnf(c_0_585,negated_conjecture,
    ( ~ ap(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ q(X1)
    | ~ pp(s(X1)) ),
    c216 ).

cnf(c_0_586,negated_conjecture,
    ( qq(X1)
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_276,c_0_431]) ).

cnf(c_0_587,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_579,c_0_580]) ).

cnf(c_0_588,negated_conjecture,
    ( q(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | p(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_582]),c_0_449]),c_0_578]),c_0_583]),c_0_436]) ).

cnf(c_0_589,negated_conjecture,
    ( ~ r(X1)
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[c_0_584,c_0_585]) ).

cnf(c_0_590,negated_conjecture,
    ( qq(X1)
    | pp(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_586,c_0_587]) ).

cnf(c_0_591,negated_conjecture,
    ( q(s(X1))
    | p(s(X1))
    | ~ q(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_338,c_0_300]) ).

cnf(c_0_592,negated_conjecture,
    ( q(s(X1))
    | p(s(s(X1)))
    | p(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_588]),c_0_319]),c_0_578]) ).

cnf(c_0_593,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_485,c_0_454]),c_0_320]) ).

cnf(c_0_594,negated_conjecture,
    ( qq(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_590]),c_0_383]) ).

cnf(c_0_595,negated_conjecture,
    ( q(s(X1))
    | p(s(X1))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_591,c_0_592]),c_0_427]) ).

cnf(c_0_596,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_500]),c_0_320]) ).

cnf(c_0_597,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_593,c_0_500]) ).

cnf(c_0_598,negated_conjecture,
    ( qq(X1)
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_595]),c_0_291]) ).

cnf(c_0_599,negated_conjecture,
    ( qq(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_596,c_0_431]) ).

cnf(c_0_600,negated_conjecture,
    ( qq(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_597,c_0_521]),c_0_522]) ).

cnf(c_0_601,negated_conjecture,
    ( qq(X1)
    | r(X1)
    | rr(X1)
    | p(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ pp(X1) ),
    c196 ).

cnf(c_0_602,negated_conjecture,
    ( qq(X1)
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_285,c_0_598]) ).

cnf(c_0_603,negated_conjecture,
    ( qq(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_600]),c_0_470]),c_0_349]) ).

cnf(c_0_604,negated_conjecture,
    ( r(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_290]),c_0_376]) ).

cnf(c_0_605,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | qq(X1)
    | p(X1)
    | ~ pp(X1)
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_601,c_0_393]),c_0_330]) ).

cnf(c_0_606,negated_conjecture,
    ( qq(s(X1))
    | p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_602,c_0_249]) ).

cnf(c_0_607,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_603,c_0_463]),c_0_604]) ).

cnf(c_0_608,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | qq(s(X1))
    | p(s(X1))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_605,c_0_255]) ).

cnf(c_0_609,negated_conjecture,
    ( r(X1)
    | qq(s(X1))
    | p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ q(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_606,c_0_245]),c_0_290]) ).

cnf(c_0_610,negated_conjecture,
    ( r(X1)
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_607,c_0_290]),c_0_413]) ).

cnf(c_0_611,negated_conjecture,
    ( rr(s(s(X1)))
    | r(s(s(s(X1))))
    | qq(s(s(X1)))
    | p(s(s(X1)))
    | ~ pp(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_608,c_0_251]) ).

cnf(c_0_612,negated_conjecture,
    ( r(X1)
    | qq(s(X1))
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_433]),c_0_610]) ).

cnf(c_0_613,negated_conjecture,
    ( r(s(X1))
    | p(s(X1))
    | ~ qq(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_565,c_0_251]) ).

cnf(c_0_614,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | qq(s(s(X1)))
    | p(s(s(X1)))
    | ~ pp(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_451,c_0_611]) ).

cnf(c_0_615,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1) ),
    c240 ).

cnf(c_0_616,negated_conjecture,
    ( r(X1)
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_612]),c_0_413]) ).

cnf(c_0_617,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | ~ r(s(X1))
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_336,c_0_245]) ).

cnf(c_0_618,negated_conjecture,
    ( r(X1)
    | q(X1)
    | ~ r(s(X1))
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_377,c_0_275]) ).

cnf(c_0_619,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | r(s(X1))
    | p(s(s(X1)))
    | ~ pp(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_614]),c_0_363]) ).

cnf(c_0_620,negated_conjecture,
    ( r(X1)
    | pp(X1)
    | qq(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ p(X1)
    | ~ q(X1) ),
    c232 ).

cnf(c_0_621,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | pp(s(X1))
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[c_0_615,c_0_454]) ).

cnf(c_0_622,negated_conjecture,
    ( r(X1)
    | ~ r(s(X1))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_616,c_0_617]),c_0_618]) ).

cnf(c_0_623,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | r(s(X1))
    | p(s(s(X1)))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_619,c_0_454]),c_0_322]) ).

cnf(c_0_624,negated_conjecture,
    ( r(X1)
    | p(X1)
    | pp(X1)
    | qq(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ rr(X1)
    | ~ q(X1) ),
    c252 ).

cnf(c_0_625,negated_conjecture,
    ( r(X1)
    | rr(X1)
    | p(X1)
    | pp(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ q(X1) ),
    c220 ).

cnf(c_0_626,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | pp(s(X1))
    | ~ q(X1)
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[c_0_620,c_0_621]) ).

cnf(c_0_627,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | p(s(s(X1)))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_623]),c_0_528]),c_0_273]) ).

cnf(c_0_628,negated_conjecture,
    ( r(X1)
    | rr(X1)
    | pp(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ p(X1)
    | ~ q(X1)
    | ~ qq(X1) ),
    c261 ).

cnf(c_0_629,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | pp(s(X1))
    | pp(X1)
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_624,c_0_625]),c_0_626]) ).

cnf(c_0_630,negated_conjecture,
    ( r(X1)
    | rr(X1)
    | pp(X1)
    | ~ ap(X1)
    | ~ p(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ p(s(X1)) ),
    c260 ).

cnf(c_0_631,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | p(s(s(X1)))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_523,c_0_627]) ).

cnf(c_0_632,negated_conjecture,
    ( rr(X1)
    | r(X1)
    | pp(s(X1))
    | pp(X1)
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_628,c_0_625]),c_0_629]) ).

cnf(c_0_633,negated_conjecture,
    ( rr(X1)
    | r(X1)
    | pp(X1)
    | ~ qq(X1)
    | ~ q(X1)
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[c_0_630,c_0_529]) ).

cnf(c_0_634,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | r(X1)
    | pp(X1)
    | p(s(s(X1)))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_631,c_0_632]) ).

cnf(c_0_635,negated_conjecture,
    ( rr(s(X1))
    | pp(s(X1))
    | ~ qq(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_633,c_0_249]),c_0_397]) ).

cnf(c_0_636,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | pp(X1)
    | p(s(s(X1)))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_634]),c_0_248]) ).

cnf(c_0_637,negated_conjecture,
    ( rr(s(s(X1)))
    | pp(s(s(X1)))
    | ~ qq(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_635,c_0_255]) ).

cnf(c_0_638,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | pp(X1)
    | p(s(X1))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_340,c_0_636]) ).

cnf(c_0_639,negated_conjecture,
    ( pp(X1)
    | r(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ q(X1)
    | ~ qq(X1) ),
    c120 ).

cnf(c_0_640,negated_conjecture,
    ( q(X1)
    | r(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ qq(X1)
    | ~ rr(X1)
    | ~ q(s(X1)) ),
    c113 ).

cnf(c_0_641,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ qq(X1) ),
    c109 ).

cnf(c_0_642,negated_conjecture,
    ( pp(s(s(X1)))
    | ~ qq(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_637]),c_0_457]) ).

cnf(c_0_643,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | pp(X1)
    | p(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_638,c_0_317]),c_0_369]) ).

cnf(c_0_644,negated_conjecture,
    ( pp(X1)
    | qq(X1)
    | r(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ q(X1) ),
    c108 ).

cnf(c_0_645,negated_conjecture,
    ( r(X1)
    | qq(s(X1))
    | pp(X1)
    | ~ qq(X1)
    | ~ q(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[c_0_639,c_0_450]) ).

cnf(c_0_646,negated_conjecture,
    ( q(X1)
    | r(X1)
    | rr(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ qq(X1)
    | ~ q(s(X1)) ),
    c121 ).

cnf(c_0_647,negated_conjecture,
    ( q(X1)
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_640,c_0_275]),c_0_289]) ).

cnf(c_0_648,negated_conjecture,
    ( pp(X1)
    | r(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ q(X1)
    | ~ qq(X1) ),
    c119 ).

cnf(c_0_649,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | ~ qq(X1)
    | ~ q(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_641,c_0_300]),c_0_402]) ).

cnf(c_0_650,negated_conjecture,
    ( pp(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_642,c_0_465]) ).

cnf(c_0_651,negated_conjecture,
    ( r(s(X1))
    | p(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_507,c_0_643]),c_0_481]),c_0_362]) ).

cnf(c_0_652,negated_conjecture,
    ( qq(X1)
    | r(X1)
    | rr(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1) ),
    c142 ).

cnf(c_0_653,negated_conjecture,
    ( r(X1)
    | qq(s(X1))
    | pp(X1)
    | ~ q(X1)
    | ~ p(X1)
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[c_0_644,c_0_645]) ).

cnf(c_0_654,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | r(X1)
    | rr(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ p(X1) ),
    c112 ).

cnf(c_0_655,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | r(X1)
    | rr(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ q(s(X1)) ),
    c111 ).

cnf(c_0_656,negated_conjecture,
    ( q(X1)
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_646,c_0_275]),c_0_551]),c_0_647]) ).

cnf(c_0_657,negated_conjecture,
    ( p(X1)
    | q(X1)
    | qq(X1)
    | ~ aq(X1)
    | ~ pp(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ q(s(X1)) ),
    c133 ).

cnf(c_0_658,negated_conjecture,
    ( pp(X1)
    | qq(X1)
    | r(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ q(X1) ),
    c107 ).

cnf(c_0_659,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | ~ qq(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_648,c_0_300]),c_0_436]),c_0_649]) ).

cnf(c_0_660,negated_conjecture,
    ( r(X1)
    | p(X1)
    | pp(X1)
    | qq(X1)
    | p(s(X1))
    | ~ ap(X1)
    | ~ rr(X1)
    | ~ q(X1) ),
    c251 ).

cnf(c_0_661,negated_conjecture,
    ( pp(s(X1))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_650]),c_0_320]) ).

cnf(c_0_662,negated_conjecture,
    ( p(s(s(X1)))
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_651]),c_0_363]) ).

cnf(c_0_663,negated_conjecture,
    ( pp(X1)
    | q(X1)
    | qq(X1)
    | r(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ rr(X1) ),
    c139 ).

cnf(c_0_664,negated_conjecture,
    ( rr(X1)
    | r(X1)
    | qq(s(X1))
    | qq(X1)
    | ~ p(X1)
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_652,c_0_653]),c_0_654]) ).

cnf(c_0_665,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | r(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ rr(X1)
    | ~ q(s(X1)) ),
    c129 ).

cnf(c_0_666,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | ~ q(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_655,c_0_275]),c_0_656]),c_0_289]) ).

cnf(c_0_667,negated_conjecture,
    ( q(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_657,c_0_275]),c_0_560]),c_0_289]),c_0_551]) ).

cnf(c_0_668,negated_conjecture,
    ( pp(X1)
    | q(X1)
    | qq(X1)
    | r(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ rr(X1) ),
    c138 ).

cnf(c_0_669,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | pp(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_658,c_0_300]),c_0_402]),c_0_659]) ).

cnf(c_0_670,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | pp(X1)
    | p(s(X1))
    | ~ rr(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_660,c_0_439]),c_0_496]) ).

cnf(c_0_671,negated_conjecture,
    ( r(s(s(s(X1))))
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_408,c_0_251]) ).

cnf(c_0_672,negated_conjecture,
    ( pp(s(X1))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_661,c_0_662]),c_0_338]) ).

cnf(c_0_673,negated_conjecture,
    ( r(X1)
    | qq(s(X1))
    | qq(X1)
    | pp(X1)
    | ~ p(X1)
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_663,c_0_664]),c_0_653]) ).

cnf(c_0_674,negated_conjecture,
    ( q(X1)
    | ~ q(s(X1))
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_665,c_0_275]),c_0_666]),c_0_656]),c_0_289]) ).

cnf(c_0_675,negated_conjecture,
    ( qq(s(X1))
    | q(X1)
    | ~ r(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_275]),c_0_289]),c_0_551]),c_0_667]) ).

cnf(c_0_676,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | q(s(X1))
    | pp(X1)
    | ~ rr(X1)
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_668,c_0_405]),c_0_669]) ).

cnf(c_0_677,negated_conjecture,
    ( r(s(X1))
    | qq(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_670,c_0_249]) ).

cnf(c_0_678,negated_conjecture,
    ( q(X1)
    | p(X1)
    | aq(X1)
    | ap(X1)
    | ~ rr(s(X1)) ),
    inference(spm,[status(thm)],[c_0_540,c_0_272]) ).

cnf(c_0_679,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_671]),c_0_363]) ).

cnf(c_0_680,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_300]),c_0_442]) ).

cnf(c_0_681,negated_conjecture,
    ( q(X1)
    | r(X1)
    | rr(X1)
    | pp(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ qq(X1)
    | ~ p(X1) ),
    c193 ).

cnf(c_0_682,negated_conjecture,
    ( q(X1)
    | pp(s(X1))
    | ~ qq(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_275]),c_0_352]) ).

cnf(c_0_683,negated_conjecture,
    ( qq(s(X1))
    | q(X1)
    | ~ q(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_673,c_0_275]),c_0_674]),c_0_656]),c_0_675]) ).

cnf(c_0_684,negated_conjecture,
    ( r(s(X1))
    | qq(s(X1))
    | q(s(s(X1)))
    | pp(s(X1))
    | ~ rr(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_676,c_0_251]) ).

cnf(c_0_685,negated_conjecture,
    ( rr(X1)
    | qq(s(X1))
    | ~ rr(s(X1))
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_437,c_0_450]) ).

cnf(c_0_686,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | qq(s(X1))
    | p(s(X1))
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_608,c_0_450]) ).

cnf(c_0_687,negated_conjecture,
    ( q(X1)
    | r(X1)
    | rr(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ qq(X1) ),
    c122 ).

cnf(c_0_688,negated_conjecture,
    ( r(s(X1))
    | qq(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(X1) ),
    inference(spm,[status(thm)],[c_0_677,c_0_241]) ).

cnf(c_0_689,negated_conjecture,
    ( q(X1)
    | rr(X1)
    | ~ ar(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ rr(s(X1)) ),
    c190 ).

cnf(c_0_690,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | p(s(s(X1)))
    | p(X1)
    | ~ rr(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_678]),c_0_679]),c_0_680]) ).

cnf(c_0_691,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | q(X1)
    | pp(X1)
    | ~ qq(X1)
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_681,c_0_393]),c_0_331]) ).

cnf(c_0_692,negated_conjecture,
    ( q(X1)
    | pp(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_682,c_0_683]) ).

cnf(c_0_693,negated_conjecture,
    ( r(X1)
    | p(X1)
    | q(X1)
    | ~ ap(X1)
    | ~ pp(s(X1)) ),
    c212 ).

cnf(c_0_694,negated_conjecture,
    ( r(X1)
    | q(X1)
    | ~ ap(X1)
    | ~ p(X1)
    | ~ pp(s(X1)) ),
    c214 ).

cnf(c_0_695,negated_conjecture,
    ( r(s(X1))
    | qq(s(X1))
    | q(s(s(X1)))
    | pp(s(X1))
    | ~ rr(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_684,c_0_580]) ).

cnf(c_0_696,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | qq(X1)
    | p(X1)
    | aq(X1)
    | ap(X1)
    | ~ pp(X1) ),
    inference(spm,[status(thm)],[c_0_605,c_0_272]) ).

cnf(c_0_697,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(s(X1))
    | p(s(X1))
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_685,c_0_686]) ).

cnf(c_0_698,negated_conjecture,
    ( rr(s(X1))
    | rr(X1)
    | qq(X1)
    | q(X1)
    | aq(X1)
    | ap(X1)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_329,c_0_272]) ).

cnf(c_0_699,negated_conjecture,
    ( rr(X1)
    | r(X1)
    | qq(s(X1))
    | q(X1)
    | ~ qq(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[c_0_687,c_0_450]) ).

cnf(c_0_700,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | ~ r(X1)
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_250,c_0_431]) ).

cnf(c_0_701,negated_conjecture,
    ( r(s(X1))
    | qq(s(X1))
    | q(X1)
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ r(X1) ),
    inference(spm,[status(thm)],[c_0_688,c_0_344]) ).

cnf(c_0_702,negated_conjecture,
    ( q(X1)
    | r(X1)
    | rr(X1)
    | ~ ar(X1)
    | ~ qq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ rr(s(X1)) ),
    c192 ).

cnf(c_0_703,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | ~ rr(s(X1))
    | ~ r(X1)
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[c_0_689,c_0_337]) ).

cnf(c_0_704,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1)))
    | p(X1)
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_690,c_0_508]) ).

cnf(c_0_705,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_566,c_0_450]) ).

cnf(c_0_706,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | q(X1)
    | pp(X1)
    | aq(X1)
    | ap(X1)
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_691,c_0_272]) ).

cnf(c_0_707,negated_conjecture,
    ( r(s(X1))
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_392,c_0_679]) ).

cnf(c_0_708,negated_conjecture,
    ( q(X1)
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_692]),c_0_291]),c_0_674]) ).

cnf(c_0_709,negated_conjecture,
    ( r(X1)
    | q(X1)
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[c_0_693,c_0_694]) ).

cnf(c_0_710,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | q(s(s(X1)))
    | pp(s(X1))
    | ~ rr(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_586,c_0_695]) ).

cnf(c_0_711,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | qq(X1)
    | p(X1)
    | ~ rr(s(X1))
    | ~ pp(X1) ),
    inference(spm,[status(thm)],[c_0_605,c_0_337]) ).

cnf(c_0_712,negated_conjecture,
    ( rr(s(X1))
    | rr(X1)
    | r(s(s(X1)))
    | qq(s(X1))
    | p(s(X1))
    | ap(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_608,c_0_696]),c_0_563]),c_0_317]),c_0_697]),c_0_330]) ).

cnf(c_0_713,negated_conjecture,
    ( r(s(X1))
    | qq(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | aq(X1)
    | ap(X1)
    | ~ rr(s(X1)) ),
    inference(spm,[status(thm)],[c_0_677,c_0_272]) ).

cnf(c_0_714,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | r(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ rr(X1)
    | ~ p(X1) ),
    c184 ).

cnf(c_0_715,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | qq(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ rr(s(X1)) ),
    inference(spm,[status(thm)],[c_0_677,c_0_337]) ).

cnf(c_0_716,negated_conjecture,
    ( rr(s(X1))
    | rr(X1)
    | r(X1)
    | qq(s(X1))
    | q(X1)
    | ap(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_664,c_0_698]),c_0_699]) ).

cnf(c_0_717,negated_conjecture,
    ( r(s(X1))
    | q(X1)
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_700,c_0_701]),c_0_331]) ).

cnf(c_0_718,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | p(X1)
    | ~ rr(s(X1)) ),
    inference(spm,[status(thm)],[c_0_540,c_0_337]) ).

cnf(c_0_719,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | qq(s(X1))
    | q(X1)
    | p(s(X1))
    | ap(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_608,c_0_424]),c_0_317]),c_0_330]) ).

cnf(c_0_720,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | r(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ pp(X1) ),
    c185 ).

cnf(c_0_721,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | ~ rr(s(X1))
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_702,c_0_337]),c_0_703]) ).

cnf(c_0_722,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1)))
    | p(X1)
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_704,c_0_705]) ).

cnf(c_0_723,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | q(s(s(X1)))
    | pp(X1)
    | p(s(s(X1)))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_706]),c_0_707]),c_0_680]),c_0_509]) ).

cnf(c_0_724,negated_conjecture,
    ( q(X1)
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_708,c_0_662]),c_0_308]) ).

cnf(c_0_725,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | q(s(s(X1)))
    | q(X1)
    | ~ rr(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_709,c_0_710]),c_0_297]) ).

cnf(c_0_726,negated_conjecture,
    ( r(X1)
    | p(s(X1))
    | ~ r(s(X1))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_376,c_0_317]) ).

cnf(c_0_727,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(s(X1))
    | p(s(X1))
    | ap(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_711,c_0_712]),c_0_563]),c_0_317]),c_0_697]),c_0_330]) ).

cnf(c_0_728,negated_conjecture,
    ( r(s(X1))
    | qq(s(X1))
    | qq(X1)
    | pp(s(X1))
    | p(s(s(X1)))
    | ap(X1)
    | ~ rr(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_673,c_0_713]),c_0_454]),c_0_688]) ).

cnf(c_0_729,negated_conjecture,
    ( rr(s(X1))
    | r(X1)
    | qq(X1)
    | q(X1)
    | ~ rr(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[c_0_714,c_0_258]) ).

cnf(c_0_730,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | qq(s(X1))
    | q(X1)
    | pp(s(X1))
    | p(s(s(X1)))
    | ap(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_715,c_0_716]),c_0_717]) ).

cnf(c_0_731,negated_conjecture,
    ( r(s(X1))
    | q(X1)
    | p(X1)
    | ap(X1)
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_424]),c_0_253]) ).

cnf(c_0_732,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(s(X1))
    | q(X1)
    | p(s(X1))
    | ap(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_718,c_0_719]),c_0_317]) ).

cnf(c_0_733,negated_conjecture,
    ( r(s(X1))
    | p(X1)
    | ~ r(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_720,c_0_241]),c_0_253]),c_0_330]),c_0_313]) ).

cnf(c_0_734,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_721,c_0_508]),c_0_722]),c_0_723]),c_0_575]),c_0_680]) ).

cnf(c_0_735,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | q(s(X1))
    | ~ rr(X1)
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_724,c_0_725]),c_0_319]) ).

cnf(c_0_736,negated_conjecture,
    ( r(X1)
    | p(s(X1))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_726,c_0_651]) ).

cnf(c_0_737,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | r(X1)
    | qq(X1)
    | p(s(X1))
    | ap(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_574,c_0_727]),c_0_317]) ).

cnf(c_0_738,negated_conjecture,
    ( r(s(X1))
    | qq(s(X1))
    | qq(X1)
    | q(X1)
    | pp(s(X1))
    | p(s(s(X1)))
    | ap(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_728,c_0_729]),c_0_730]),c_0_717]) ).

cnf(c_0_739,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | q(X1)
    | p(s(X1))
    | ap(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_731,c_0_732]),c_0_317]),c_0_733]) ).

cnf(c_0_740,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_734,c_0_705]) ).

cnf(c_0_741,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | q(s(X1))
    | ~ rr(X1)
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_735,c_0_736]) ).

cnf(c_0_742,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(X1)
    | p(s(X1))
    | ap(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_700,c_0_727]),c_0_737]),c_0_733]) ).

cnf(c_0_743,negated_conjecture,
    ( r(s(s(X1)))
    | qq(X1)
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_575,c_0_738]),c_0_471]),c_0_707]),c_0_680]),c_0_509]) ).

cnf(c_0_744,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_739,c_0_740]),c_0_679]),c_0_518]),c_0_680]) ).

cnf(c_0_745,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | ~ rr(s(X1))
    | ~ p(s(s(X1)))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_741,c_0_249]) ).

cnf(c_0_746,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | q(s(s(X1)))
    | p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_742,c_0_743]),c_0_679]),c_0_518]),c_0_744]) ).

cnf(c_0_747,negated_conjecture,
    ( rr(s(s(X1)))
    | qq(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_444,c_0_251]) ).

cnf(c_0_748,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | ~ rr(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_745,c_0_337]),c_0_746]) ).

cnf(c_0_749,negated_conjecture,
    ( ap(X1)
    | ~ r(s(X1))
    | ~ r(X1)
    | ~ q(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_298]),c_0_289]) ).

cnf(c_0_750,negated_conjecture,
    ( ~ r(s(X1))
    | ~ qq(s(s(X1)))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_386,c_0_251]) ).

cnf(c_0_751,negated_conjecture,
    ( rr(s(X1))
    | qq(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_451,c_0_747]) ).

cnf(c_0_752,negated_conjecture,
    ( r(s(X1))
    | qq(s(X1))
    | q(s(s(X1)))
    | q(X1)
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_748,c_0_344]),c_0_407]),c_0_297]) ).

cnf(c_0_753,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_320,c_0_749]) ).

cnf(c_0_754,negated_conjecture,
    ( rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ r(s(X1))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_750,c_0_751]),c_0_340]) ).

cnf(c_0_755,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | ~ r(X1)
    | ~ q(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_456,c_0_241]) ).

cnf(c_0_756,negated_conjecture,
    ( r(s(X1))
    | q(s(s(X1)))
    | q(X1)
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_700,c_0_752]),c_0_331]) ).

cnf(c_0_757,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | ~ r(X1)
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_250,c_0_300]) ).

cnf(c_0_758,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_444,c_0_450]) ).

cnf(c_0_759,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_753,c_0_298]),c_0_260]),c_0_571]) ).

cnf(c_0_760,negated_conjecture,
    ( rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ r(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_754,c_0_454]),c_0_322]) ).

cnf(c_0_761,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_755,c_0_756]),c_0_757]) ).

cnf(c_0_762,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | aq(X1)
    | ap(X1)
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_272]),c_0_298]) ).

cnf(c_0_763,negated_conjecture,
    ( rr(X1)
    | qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_685,c_0_758]) ).

cnf(c_0_764,negated_conjecture,
    ( ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_759,c_0_307]),c_0_327]),c_0_289]) ).

cnf(c_0_765,negated_conjecture,
    ( rr(s(X1))
    | q(s(s(s(X1))))
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_760,c_0_761]),c_0_392]) ).

cnf(c_0_766,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_762]),c_0_523]) ).

cnf(c_0_767,negated_conjecture,
    ( rr(s(X1))
    | rr(X1)
    | qq(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_698]),c_0_260]),c_0_502]),c_0_763]) ).

cnf(c_0_768,negated_conjecture,
    ( rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_764,c_0_765]),c_0_340]) ).

cnf(c_0_769,negated_conjecture,
    ( qq(X1)
    | ~ r(X1)
    | ~ qq(s(X1))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_386,c_0_431]) ).

cnf(c_0_770,negated_conjecture,
    ( rr(X1)
    | qq(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_766,c_0_767]),c_0_260]),c_0_563]),c_0_410]),c_0_763]) ).

cnf(c_0_771,negated_conjecture,
    ( rr(X1)
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_523,c_0_768]) ).

cnf(c_0_772,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_769,c_0_770]),c_0_260]) ).

cnf(c_0_773,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ p(s(s(X1)))
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_771,c_0_527]) ).

cnf(c_0_774,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_770]),c_0_491]),c_0_772]) ).

cnf(c_0_775,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | ~ r(s(X1))
    | ~ p(s(s(X1)))
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_773,c_0_273]),c_0_376]) ).

cnf(c_0_776,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_774,c_0_454]) ).

cnf(c_0_777,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | ~ r(s(X1))
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_775,c_0_363]),c_0_369]) ).

cnf(c_0_778,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | q(s(s(X1)))
    | ap(X1)
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_776,c_0_761]) ).

cnf(c_0_779,negated_conjecture,
    ( r(X1)
    | p(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ rr(X1)
    | ~ pp(X1)
    | ~ rr(s(X1)) ),
    c172 ).

cnf(c_0_780,negated_conjecture,
    ( rr(s(X1))
    | q(s(X1))
    | ~ r(s(s(X1)))
    | ~ p(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_777,c_0_249]) ).

cnf(c_0_781,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | ap(X1)
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_764,c_0_778]),c_0_260]) ).

cnf(c_0_782,negated_conjecture,
    ( q(X1)
    | ~ ar(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ rr(s(X1)) ),
    c176 ).

cnf(c_0_783,negated_conjecture,
    ( r(X1)
    | p(X1)
    | ~ rr(s(X1))
    | ~ rr(X1)
    | ~ pp(X1)
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[c_0_779,c_0_540]) ).

cnf(c_0_784,negated_conjecture,
    ( rr(s(X1))
    | aq(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_780,c_0_272]),c_0_318]) ).

cnf(c_0_785,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_322,c_0_781]) ).

cnf(c_0_786,negated_conjecture,
    ( q(X1)
    | ~ rr(s(X1))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ pp(X1)
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[c_0_782,c_0_540]) ).

cnf(c_0_787,negated_conjecture,
    ( r(X1)
    | ~ rr(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_783,c_0_245]),c_0_491]) ).

cnf(c_0_788,negated_conjecture,
    ( rr(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_784]),c_0_580]) ).

cnf(c_0_789,negated_conjecture,
    ( r(s(X1))
    | ~ r(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_491,c_0_454]),c_0_392]) ).

cnf(c_0_790,negated_conjecture,
    ( rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_784]),c_0_320]) ).

cnf(c_0_791,negated_conjecture,
    ( rr(X1)
    | qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_523,c_0_785]) ).

cnf(c_0_792,negated_conjecture,
    ( q(s(X1))
    | ~ rr(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_786,c_0_255]) ).

cnf(c_0_793,negated_conjecture,
    ( r(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_787,c_0_788]),c_0_789]) ).

cnf(c_0_794,negated_conjecture,
    ( ~ r(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_790]),c_0_338]) ).

cnf(c_0_795,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_586,c_0_791]) ).

cnf(c_0_796,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_792,c_0_788]),c_0_793]),c_0_794]) ).

cnf(c_0_797,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | q(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ p(s(s(X1)))
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_795,c_0_527]) ).

cnf(c_0_798,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_796,c_0_500]) ).

cnf(c_0_799,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | q(X1)
    | ~ r(s(X1))
    | ~ p(s(s(X1)))
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_797,c_0_273]),c_0_410]) ).

cnf(c_0_800,negated_conjecture,
    ( ~ rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_798,c_0_251]) ).

cnf(c_0_801,negated_conjecture,
    ( rr(s(s(X1)))
    | ~ rr(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_387,c_0_251]) ).

cnf(c_0_802,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | q(X1)
    | ~ r(s(X1))
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_799,c_0_363]),c_0_369]) ).

cnf(c_0_803,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_770]),c_0_320]) ).

cnf(c_0_804,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_800,c_0_801]) ).

cnf(c_0_805,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1)) ),
    inference(spm,[status(thm)],[c_0_271,c_0_258]) ).

cnf(c_0_806,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | q(s(X1))
    | ~ r(s(s(X1)))
    | ~ p(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_802,c_0_249]) ).

cnf(c_0_807,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | pp(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_771,c_0_532]) ).

cnf(c_0_808,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_803,c_0_454]),c_0_320]) ).

cnf(c_0_809,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ pp(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_804,c_0_454]),c_0_322]) ).

cnf(c_0_810,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1)) ),
    inference(spm,[status(thm)],[c_0_297,c_0_805]) ).

cnf(c_0_811,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | aq(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_806,c_0_272]),c_0_318]) ).

cnf(c_0_812,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | pp(X1)
    | ~ r(s(X1))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_807,c_0_273]),c_0_376]) ).

cnf(c_0_813,negated_conjecture,
    ( aq(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_443,c_0_272]) ).

cnf(c_0_814,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_808,c_0_500]) ).

cnf(c_0_815,negated_conjecture,
    ( rr(X1)
    | r(X1)
    | qq(X1)
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_776,c_0_290]),c_0_376]) ).

cnf(c_0_816,negated_conjecture,
    ( q(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_809,c_0_810]) ).

cnf(c_0_817,negated_conjecture,
    ( q(s(X1))
    | p(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_454]),c_0_363]) ).

cnf(c_0_818,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_811]),c_0_580]) ).

cnf(c_0_819,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | pp(X1)
    | ~ r(s(X1))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_812,c_0_363]) ).

cnf(c_0_820,negated_conjecture,
    ( ap(X1)
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_798,c_0_813]) ).

cnf(c_0_821,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_814,c_0_298]),c_0_815]) ).

cnf(c_0_822,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_816,c_0_817]),c_0_768]),c_0_349]) ).

cnf(c_0_823,negated_conjecture,
    ( q(X1)
    | aq(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ pp(X1) ),
    inference(spm,[status(thm)],[c_0_786,c_0_272]) ).

cnf(c_0_824,negated_conjecture,
    ( p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ q(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_813]),c_0_260]),c_0_363]) ).

cnf(c_0_825,negated_conjecture,
    ( r(X1)
    | qq(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_787,c_0_818]),c_0_410]) ).

cnf(c_0_826,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | p(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_576,c_0_496]) ).

cnf(c_0_827,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | p(X1)
    | ~ r(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_819,c_0_260]),c_0_341]) ).

cnf(c_0_828,negated_conjecture,
    ( rr(s(X1))
    | pp(s(X1))
    | aq(X1)
    | ap(X1)
    | ~ qq(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_635,c_0_272]) ).

cnf(c_0_829,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_820,c_0_821]),c_0_822]) ).

cnf(c_0_830,negated_conjecture,
    ( r(s(X1))
    | q(X1)
    | ~ r(X1)
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_250,c_0_275]) ).

cnf(c_0_831,negated_conjecture,
    ( rr(s(X1))
    | p(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_784]),c_0_651]),c_0_363]) ).

cnf(c_0_832,negated_conjecture,
    ( p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_823]),c_0_363]),c_0_824]) ).

cnf(c_0_833,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | p(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_811]),c_0_651]),c_0_363]) ).

cnf(c_0_834,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_825]),c_0_789]) ).

cnf(c_0_835,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | p(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_762]),c_0_260]),c_0_826]),c_0_363]) ).

cnf(c_0_836,negated_conjecture,
    ( pp(X1)
    | p(X1)
    | ~ r(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_827]),c_0_390]) ).

cnf(c_0_837,negated_conjecture,
    ( pp(s(X1))
    | ap(X1)
    | ~ rr(s(X1))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_672,c_0_813]) ).

cnf(c_0_838,negated_conjecture,
    ( rr(s(X1))
    | pp(s(X1))
    | ap(X1)
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_672,c_0_828]),c_0_470]) ).

cnf(c_0_839,negated_conjecture,
    ( ap(X1)
    | ~ rr(s(X1))
    | ~ r(X1)
    | ~ q(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_813]),c_0_289]) ).

cnf(c_0_840,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_829]),c_0_822]) ).

cnf(c_0_841,negated_conjecture,
    ( ~ r(s(X1))
    | ~ r(X1)
    | ~ q(s(X1))
    | ~ q(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_749]),c_0_285]) ).

cnf(c_0_842,negated_conjecture,
    ( q(X1)
    | ~ r(X1)
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_327,c_0_830]) ).

cnf(c_0_843,negated_conjecture,
    ( p(s(s(X1)))
    | ~ q(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_824,c_0_831]) ).

cnf(c_0_844,negated_conjecture,
    ( qq(s(X1))
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_832,c_0_833]) ).

cnf(c_0_845,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | p(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_834,c_0_651]),c_0_835]) ).

cnf(c_0_846,negated_conjecture,
    ( p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_832,c_0_831]) ).

cnf(c_0_847,negated_conjecture,
    ( p(X1)
    | ~ r(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_836]),c_0_390]) ).

cnf(c_0_848,negated_conjecture,
    ( pp(s(X1))
    | ap(X1)
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_837,c_0_838]) ).

cnf(c_0_849,negated_conjecture,
    ( pp(s(X1))
    | ap(X1)
    | ~ r(X1)
    | ~ qq(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_828]),c_0_839]) ).

cnf(c_0_850,negated_conjecture,
    ( qq(s(X1))
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_450]),c_0_656]) ).

cnf(c_0_851,negated_conjecture,
    ( p(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ rr(s(X1)) ),
    c168 ).

cnf(c_0_852,negated_conjecture,
    ( ap(X1)
    | ~ r(s(s(X1)))
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_840,c_0_454]) ).

cnf(c_0_853,negated_conjecture,
    ( ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_841,c_0_307]),c_0_842]) ).

cnf(c_0_854,negated_conjecture,
    ( rr(X1)
    | p(s(s(X1)))
    | p(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_718,c_0_831]),c_0_843]) ).

cnf(c_0_855,negated_conjecture,
    ( qq(X1)
    | p(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_844]),c_0_845]),c_0_835]) ).

cnf(c_0_856,negated_conjecture,
    ( p(s(s(X1)))
    | ~ rr(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_793,c_0_651]),c_0_846]) ).

cnf(c_0_857,negated_conjecture,
    ( rr(s(X1))
    | r(X1)
    | ~ r(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_784]),c_0_290]),c_0_376]) ).

cnf(c_0_858,negated_conjecture,
    ( p(X1)
    | ~ r(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_847,c_0_562]) ).

cnf(c_0_859,negated_conjecture,
    ( r(X1)
    | pp(s(X1))
    | ap(X1)
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_848,c_0_645]),c_0_454]) ).

cnf(c_0_860,negated_conjecture,
    ( pp(s(X1))
    | ap(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_849,c_0_850]) ).

cnf(c_0_861,negated_conjecture,
    ( p(X1)
    | ~ aq(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ qq(s(X1)) ),
    c118 ).

cnf(c_0_862,negated_conjecture,
    ( p(X1)
    | ~ rr(s(X1))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[c_0_851,c_0_540]) ).

cnf(c_0_863,negated_conjecture,
    ( ap(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_852,c_0_761]),c_0_853]) ).

cnf(c_0_864,negated_conjecture,
    ( p(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_721,c_0_831]),c_0_854]),c_0_855]),c_0_843]),c_0_856]) ).

cnf(c_0_865,negated_conjecture,
    ( ap(X1)
    | ~ rr(s(X1))
    | ~ r(X1)
    | ~ qq(s(X1))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_386,c_0_813]) ).

cnf(c_0_866,negated_conjecture,
    ( rr(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ qq(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_784]),c_0_260]) ).

cnf(c_0_867,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_814,c_0_450]) ).

cnf(c_0_868,negated_conjecture,
    ( pp(X1)
    | q(X1)
    | qq(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1) ),
    c258 ).

cnf(c_0_869,negated_conjecture,
    ( r(X1)
    | qq(s(X1))
    | pp(s(X1))
    | ~ r(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_857]),c_0_858]) ).

cnf(c_0_870,negated_conjecture,
    ( r(X1)
    | pp(X1)
    | ap(X1)
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_563,c_0_859]) ).

cnf(c_0_871,negated_conjecture,
    ( q(s(s(X1)))
    | ap(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_272]),c_0_342]) ).

cnf(c_0_872,negated_conjecture,
    ( pp(X1)
    | ap(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_563,c_0_860]) ).

cnf(c_0_873,negated_conjecture,
    ( p(X1)
    | ~ rr(X1)
    | ~ qq(s(X1))
    | ~ qq(X1)
    | ~ q(X1)
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[c_0_861,c_0_565]) ).

cnf(c_0_874,negated_conjecture,
    ( p(X1)
    | aq(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_862,c_0_272]) ).

cnf(c_0_875,negated_conjecture,
    ( qq(X1)
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_798,c_0_431]) ).

cnf(c_0_876,negated_conjecture,
    ( q(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_798,c_0_300]) ).

cnf(c_0_877,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | q(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_814,c_0_300]) ).

cnf(c_0_878,negated_conjecture,
    ( ap(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_863,c_0_864]),c_0_260]) ).

cnf(c_0_879,negated_conjecture,
    ( ap(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ qq(s(X1))
    | ~ q(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_865,c_0_866]),c_0_260]) ).

cnf(c_0_880,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_798,c_0_450]),c_0_867]) ).

cnf(c_0_881,negated_conjecture,
    ( qq(X1)
    | q(X1)
    | pp(s(X1))
    | pp(X1)
    | ~ r(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_868,c_0_526]),c_0_532]) ).

cnf(c_0_882,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | pp(s(X1))
    | ~ r(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_445,c_0_869]) ).

cnf(c_0_883,negated_conjecture,
    ( pp(X1)
    | ap(X1)
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_870,c_0_871]),c_0_656]),c_0_872]) ).

cnf(c_0_884,negated_conjecture,
    ( ap(X1)
    | ~ rr(s(X1))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ qq(s(X1))
    | ~ qq(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_873,c_0_874]),c_0_865]) ).

cnf(c_0_885,negated_conjecture,
    ( rr(s(X1))
    | q(s(X1))
    | ~ rr(X1)
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_387,c_0_300]) ).

cnf(c_0_886,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_745,c_0_241]),c_0_761]) ).

cnf(c_0_887,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | ~ rr(X1)
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_387,c_0_450]) ).

cnf(c_0_888,negated_conjecture,
    ( qq(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ qq(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_875,c_0_866]),c_0_475]),c_0_586]) ).

cnf(c_0_889,negated_conjecture,
    ( qq(s(X1))
    | q(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_876,c_0_877]) ).

cnf(c_0_890,negated_conjecture,
    ( ~ r(s(X1))
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_878]),c_0_858]),c_0_522]) ).

cnf(c_0_891,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_879,c_0_880]),c_0_847]),c_0_822]) ).

cnf(c_0_892,negated_conjecture,
    ( qq(X1)
    | q(X1)
    | pp(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_822,c_0_881]) ).

cnf(c_0_893,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | pp(X1)
    | ~ r(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_882]),c_0_376]) ).

cnf(c_0_894,negated_conjecture,
    ( pp(X1)
    | ap(X1)
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_883,c_0_662]),c_0_260]) ).

cnf(c_0_895,negated_conjecture,
    ( rr(s(X1))
    | r(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_391,c_0_258]) ).

cnf(c_0_896,negated_conjecture,
    ( q(s(X1))
    | ~ rr(X1)
    | ~ qq(s(X1))
    | ~ qq(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_884,c_0_885]),c_0_659]),c_0_319]) ).

cnf(c_0_897,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_886,c_0_887]),c_0_705]) ).

cnf(c_0_898,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_888,c_0_889]),c_0_890]),c_0_891]) ).

cnf(c_0_899,negated_conjecture,
    ( q(X1)
    | p(X1)
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_798,c_0_678]),c_0_822]) ).

cnf(c_0_900,negated_conjecture,
    ( qq(X1)
    | q(X1)
    | pp(X1)
    | ~ r(s(X1))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_892,c_0_273]),c_0_893]) ).

cnf(c_0_901,negated_conjecture,
    ( r(X1)
    | ~ ap(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    c234 ).

cnf(c_0_902,negated_conjecture,
    ( pp(s(X1))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_322,c_0_894]) ).

cnf(c_0_903,negated_conjecture,
    ( qq(s(X1))
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_276,c_0_450]) ).

cnf(c_0_904,negated_conjecture,
    ( q(X1)
    | r(X1)
    | ~ ar(X1)
    | ~ qq(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ rr(s(X1)) ),
    c164 ).

cnf(c_0_905,negated_conjecture,
    ( r(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_395,c_0_895]) ).

cnf(c_0_906,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(X1))
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_896,c_0_897]),c_0_659]),c_0_583]) ).

cnf(c_0_907,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | ~ rr(s(X1))
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_437,c_0_431]) ).

cnf(c_0_908,negated_conjecture,
    ( ap(X1)
    | ~ rr(s(X1))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ qq(s(X1))
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_823]),c_0_865]) ).

cnf(c_0_909,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_798,c_0_823]),c_0_563]),c_0_822]),c_0_898]) ).

cnf(c_0_910,negated_conjecture,
    ( q(X1)
    | p(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_899,c_0_788]),c_0_847]) ).

cnf(c_0_911,negated_conjecture,
    ( qq(X1)
    | q(X1)
    | pp(X1)
    | ~ r(s(X1))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_900,c_0_363]) ).

cnf(c_0_912,negated_conjecture,
    ( rr(X1)
    | qq(s(X1))
    | pp(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_411,c_0_337]) ).

cnf(c_0_913,negated_conjecture,
    ( rr(s(s(X1)))
    | rr(s(X1))
    | qq(s(X1))
    | q(s(X1))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_329,c_0_255]) ).

cnf(c_0_914,negated_conjecture,
    ( r(X1)
    | pp(X1)
    | ~ ap(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    c248 ).

cnf(c_0_915,negated_conjecture,
    ( r(X1)
    | p(X1)
    | ~ ap(X1)
    | ~ rr(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ pp(s(X1)) ),
    c222 ).

cnf(c_0_916,negated_conjecture,
    ( r(X1)
    | ~ qq(X1)
    | ~ pp(s(X1))
    | ~ pp(X1)
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[c_0_901,c_0_709]) ).

cnf(c_0_917,negated_conjecture,
    ( pp(s(X1))
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_902,c_0_903]) ).

cnf(c_0_918,negated_conjecture,
    ( r(X1)
    | q(X1)
    | ~ rr(s(X1))
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[c_0_904,c_0_540]) ).

cnf(c_0_919,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_905,c_0_906]),c_0_595]) ).

cnf(c_0_920,negated_conjecture,
    ( rr(s(X1))
    | q(s(s(X1)))
    | ~ rr(X1)
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_336,c_0_258]) ).

cnf(c_0_921,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ qq(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_907,c_0_866]),c_0_586]) ).

cnf(c_0_922,negated_conjecture,
    ( ap(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_908,c_0_788]),c_0_260]),c_0_793]) ).

cnf(c_0_923,negated_conjecture,
    ( ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_909,c_0_788]),c_0_847]) ).

cnf(c_0_924,negated_conjecture,
    ( q(X1)
    | p(X1)
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_910,c_0_454]) ).

cnf(c_0_925,negated_conjecture,
    ( qq(s(X1))
    | q(s(X1))
    | pp(s(X1))
    | ~ r(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_911,c_0_249]) ).

cnf(c_0_926,negated_conjecture,
    ( rr(s(X1))
    | qq(s(s(X1)))
    | pp(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_912,c_0_913]),c_0_281]),c_0_465]) ).

cnf(c_0_927,negated_conjecture,
    ( qq(s(X1))
    | q(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_342,c_0_450]) ).

cnf(c_0_928,negated_conjecture,
    ( r(X1)
    | p(X1)
    | pp(X1)
    | ~ ap(X1)
    | ~ rr(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    c250 ).

cnf(c_0_929,negated_conjecture,
    ( r(X1)
    | pp(X1)
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[c_0_914,c_0_563]) ).

cnf(c_0_930,negated_conjecture,
    ( r(X1)
    | p(X1)
    | ~ rr(X1)
    | ~ pp(s(X1))
    | ~ pp(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[c_0_915,c_0_709]) ).

cnf(c_0_931,negated_conjecture,
    ( r(X1)
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(s(X1)))
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_916,c_0_917]) ).

cnf(c_0_932,negated_conjecture,
    ( r(X1)
    | ~ rr(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_918,c_0_245]),c_0_413]) ).

cnf(c_0_933,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | ~ rr(X1)
    | ~ qq(s(X1))
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_919,c_0_920]) ).

cnf(c_0_934,negated_conjecture,
    ( ap(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ qq(s(X1))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_721,c_0_866]),c_0_260]),c_0_921]),c_0_879]),c_0_922]) ).

cnf(c_0_935,negated_conjecture,
    ( ap(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_923,c_0_454]) ).

cnf(c_0_936,negated_conjecture,
    ( r(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_924,c_0_290]),c_0_376]),c_0_491]),c_0_383]) ).

cnf(c_0_937,negated_conjecture,
    ( qq(s(s(X1)))
    | q(s(s(X1)))
    | pp(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_925,c_0_255]) ).

cnf(c_0_938,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_530]),c_0_320]) ).

cnf(c_0_939,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | pp(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_472,c_0_926]) ).

cnf(c_0_940,negated_conjecture,
    ( r(s(X1))
    | q(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_659,c_0_927]) ).

cnf(c_0_941,negated_conjecture,
    ( r(X1)
    | pp(X1)
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ q(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_928,c_0_563]),c_0_929]) ).

cnf(c_0_942,negated_conjecture,
    ( r(X1)
    | q(X1)
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_709,c_0_917]) ).

cnf(c_0_943,negated_conjecture,
    ( r(X1)
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_930,c_0_917]),c_0_931]) ).

cnf(c_0_944,negated_conjecture,
    ( r(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_932,c_0_788]),c_0_905]) ).

cnf(c_0_945,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_933,c_0_927]) ).

cnf(c_0_946,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(X1))
    | ~ qq(X1)
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_436,c_0_927]) ).

cnf(c_0_947,negated_conjecture,
    ( rr(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_934,c_0_770]),c_0_563]) ).

cnf(c_0_948,negated_conjecture,
    ( q(s(X1))
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_935,c_0_810]),c_0_936]) ).

cnf(c_0_949,negated_conjecture,
    ( qq(s(X1))
    | pp(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_937]),c_0_938]) ).

cnf(c_0_950,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_803,c_0_939]),c_0_338]),c_0_487]),c_0_488]) ).

cnf(c_0_951,negated_conjecture,
    ( r(s(X1))
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ pp(X1)
    | ~ p(s(s(X1)))
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_931,c_0_940]),c_0_248]) ).

cnf(c_0_952,negated_conjecture,
    ( r(X1)
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_941,c_0_917]),c_0_942]),c_0_943]) ).

cnf(c_0_953,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_944,c_0_945]),c_0_946]) ).

cnf(c_0_954,negated_conjecture,
    ( pp(X1)
    | ap(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_872,c_0_662]),c_0_260]) ).

cnf(c_0_955,negated_conjecture,
    ( rr(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_947,c_0_454]) ).

cnf(c_0_956,negated_conjecture,
    ( ap(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_948,c_0_864]),c_0_335]) ).

cnf(c_0_957,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ r(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_923,c_0_949]),c_0_950]) ).

cnf(c_0_958,negated_conjecture,
    ( r(s(X1))
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ pp(X1)
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_951,c_0_736]),c_0_651]) ).

cnf(c_0_959,negated_conjecture,
    ( r(X1)
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_952,c_0_953]) ).

cnf(c_0_960,negated_conjecture,
    ( pp(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_954]),c_0_529]),c_0_551]) ).

cnf(c_0_961,negated_conjecture,
    ( q(s(s(X1)))
    | ap(X1)
    | ~ r(s(X1))
    | ~ r(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_955,c_0_761]),c_0_956]) ).

cnf(c_0_962,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ r(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_957,c_0_500]) ).

cnf(c_0_963,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_834,c_0_290]),c_0_815]) ).

cnf(c_0_964,negated_conjecture,
    ( r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_958,c_0_249]) ).

cnf(c_0_965,negated_conjecture,
    ( r(X1)
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_959,c_0_363]) ).

cnf(c_0_966,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_633,c_0_894]),c_0_724]),c_0_960]) ).

cnf(c_0_967,negated_conjecture,
    ( ap(X1)
    | ~ r(s(X1))
    | ~ r(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_764,c_0_961]),c_0_260]) ).

cnf(c_0_968,negated_conjecture,
    ( r(s(X1))
    | p(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_406]),c_0_407]) ).

cnf(c_0_969,negated_conjecture,
    ( ~ r(s(s(s(X1))))
    | ~ r(s(X1))
    | ~ qq(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_934,c_0_465]),c_0_320]) ).

cnf(c_0_970,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_962,c_0_864]),c_0_963]) ).

cnf(c_0_971,negated_conjecture,
    ( r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ q(s(s(s(X1))))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_964,c_0_255]) ).

cnf(c_0_972,negated_conjecture,
    ( pp(X1)
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_965,c_0_894]),c_0_966]),c_0_960]) ).

cnf(c_0_973,negated_conjecture,
    ( rr(X1)
    | ~ r(s(X1))
    | ~ r(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_777,c_0_967]),c_0_858]),c_0_890]) ).

cnf(c_0_974,negated_conjecture,
    ( r(s(X1))
    | p(X1)
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_968,c_0_963]) ).

cnf(c_0_975,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ r(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_969,c_0_500]),c_0_970]) ).

cnf(c_0_976,negated_conjecture,
    ( r(s(s(s(X1))))
    | ~ qq(s(X1))
    | ~ q(s(s(s(X1))))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_971,c_0_465]) ).

cnf(c_0_977,negated_conjecture,
    ( pp(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_972,c_0_465]) ).

cnf(c_0_978,negated_conjecture,
    ( q(X1)
    | p(X1)
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_899,c_0_973]),c_0_974]) ).

cnf(c_0_979,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_975,c_0_300]),c_0_890]) ).

cnf(c_0_980,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | pp(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ r(s(X1)) ),
    c199 ).

cnf(c_0_981,negated_conjecture,
    ( r(s(s(s(X1))))
    | ~ qq(s(X1))
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_976,c_0_977]),c_0_651]) ).

cnf(c_0_982,negated_conjecture,
    ( q(X1)
    | p(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_978,c_0_454]) ).

cnf(c_0_983,negated_conjecture,
    ( r(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_979,c_0_463]),c_0_290]) ).

cnf(c_0_984,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | p(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ q(X1)
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[c_0_980,c_0_400]) ).

cnf(c_0_985,negated_conjecture,
    ( rr(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_763]),c_0_260]),c_0_491]) ).

cnf(c_0_986,negated_conjecture,
    ( ~ qq(s(X1))
    | ~ q(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_794,c_0_981]) ).

cnf(c_0_987,negated_conjecture,
    ( q(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_336,c_0_255]) ).

cnf(c_0_988,negated_conjecture,
    ( r(X1)
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_982,c_0_290]),c_0_376]),c_0_491]),c_0_983]) ).

cnf(c_0_989,negated_conjecture,
    ( p(X1)
    | q(X1)
    | qq(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ pp(X1) ),
    c238 ).

cnf(c_0_990,negated_conjecture,
    ( rr(s(X1))
    | pp(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_984,c_0_255]),c_0_281]) ).

cnf(c_0_991,negated_conjecture,
    ( r(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_397,c_0_245]) ).

cnf(c_0_992,negated_conjecture,
    ( ap(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_853,c_0_871]) ).

cnf(c_0_993,negated_conjecture,
    ( rr(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_985,c_0_454]) ).

cnf(c_0_994,negated_conjecture,
    ( ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_986,c_0_987]),c_0_457]) ).

cnf(c_0_995,negated_conjecture,
    ( r(X1)
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_988,c_0_864]) ).

cnf(c_0_996,negated_conjecture,
    ( qq(X1)
    | q(X1)
    | pp(s(X1))
    | p(X1)
    | ~ r(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[c_0_989,c_0_454]) ).

cnf(c_0_997,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ pp(X1)
    | ~ rr(s(X1)) ),
    c186 ).

cnf(c_0_998,negated_conjecture,
    ( rr(s(X1))
    | pp(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_990,c_0_828]) ).

cnf(c_0_999,negated_conjecture,
    ( rr(X1)
    | qq(s(X1))
    | ap(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_521]),c_0_675]),c_0_991]),c_0_992]) ).

cnf(c_0_1000,negated_conjecture,
    ( rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_993,c_0_500]),c_0_990]),c_0_320]) ).

cnf(c_0_1001,negated_conjecture,
    ( ~ qq(s(s(X1)))
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_994,c_0_251]) ).

cnf(c_0_1002,negated_conjecture,
    ( r(s(X1))
    | qq(s(s(X1)))
    | pp(s(X1))
    | ~ q(s(X1))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_653,c_0_251]) ).

cnf(c_0_1003,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ qq(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_934,c_0_880]),c_0_847]),c_0_563]),c_0_822]) ).

cnf(c_0_1004,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ pp(X1)
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_766,c_0_973]),c_0_995]) ).

cnf(c_0_1005,negated_conjecture,
    ( qq(X1)
    | q(X1)
    | p(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_978,c_0_996]) ).

cnf(c_0_1006,negated_conjecture,
    ( q(X1)
    | r(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ qq(X1)
    | ~ rr(X1)
    | ~ qq(s(X1)) ),
    c114 ).

cnf(c_0_1007,negated_conjecture,
    ( r(X1)
    | rr(X1)
    | p(X1)
    | ~ ar(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ rr(s(X1)) ),
    c188 ).

cnf(c_0_1008,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | ~ rr(s(X1))
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[c_0_997,c_0_337]) ).

cnf(c_0_1009,negated_conjecture,
    ( rr(X1)
    | pp(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_998]),c_0_999]),c_0_400]) ).

cnf(c_0_1010,negated_conjecture,
    ( rr(s(X1))
    | qq(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1000,c_0_431]) ).

cnf(c_0_1011,negated_conjecture,
    ( rr(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1000,c_0_521]),c_0_413]) ).

cnf(c_0_1012,negated_conjecture,
    ( q(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_275]),c_0_352]) ).

cnf(c_0_1013,negated_conjecture,
    ( r(s(X1))
    | pp(s(X1))
    | ~ q(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1001,c_0_1002]) ).

cnf(c_0_1014,negated_conjecture,
    ( q(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_342,c_0_251]) ).

cnf(c_0_1015,negated_conjecture,
    ( ap(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1003,c_0_454]) ).

cnf(c_0_1016,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | q(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1004,c_0_467]),c_0_1005]) ).

cnf(c_0_1017,negated_conjecture,
    ( r(X1)
    | q(X1)
    | ~ rr(X1)
    | ~ qq(s(X1))
    | ~ qq(X1)
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[c_0_1006,c_0_565]) ).

cnf(c_0_1018,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | ~ rr(s(X1))
    | ~ qq(X1)
    | ~ q(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_1007,c_0_337]),c_0_1008]) ).

cnf(c_0_1019,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_563,c_0_1009]) ).

cnf(c_0_1020,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_907,c_0_1010]) ).

cnf(c_0_1021,negated_conjecture,
    ( rr(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_1011]),c_0_1012]) ).

cnf(c_0_1022,negated_conjecture,
    ( pp(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1013,c_0_1014]),c_0_708]),c_0_571]) ).

cnf(c_0_1023,negated_conjecture,
    ( q(X1)
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_994,c_0_275]),c_0_724]) ).

cnf(c_0_1024,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | q(X1)
    | p(s(X1))
    | ap(X1)
    | ~ pp(X1) ),
    inference(spm,[status(thm)],[c_0_739,c_0_454]) ).

cnf(c_0_1025,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | p(s(s(X1)))
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_249]),c_0_333]) ).

cnf(c_0_1026,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | q(s(X1))
    | pp(s(X1))
    | ~ qq(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_691,c_0_255]) ).

cnf(c_0_1027,negated_conjecture,
    ( rr(s(X1))
    | q(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | aq(X1)
    | ap(X1)
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_541,c_0_272]) ).

cnf(c_0_1028,negated_conjecture,
    ( q(s(s(X1)))
    | ap(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1015,c_0_761]),c_0_988]) ).

cnf(c_0_1029,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | q(X1)
    | ~ r(s(X1))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1016,c_0_273]),c_0_900]),c_0_376]) ).

cnf(c_0_1030,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_788]),c_0_338]) ).

cnf(c_0_1031,negated_conjecture,
    ( q(X1)
    | ~ rr(X1)
    | ~ qq(s(X1))
    | ~ qq(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1017,c_0_275]),c_0_551]) ).

cnf(c_0_1032,negated_conjecture,
    ( rr(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1018,c_0_1011]),c_0_1019]),c_0_1012]),c_0_1020]),c_0_1021]) ).

cnf(c_0_1033,negated_conjecture,
    ( pp(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1022,c_0_662]),c_0_340]) ).

cnf(c_0_1034,negated_conjecture,
    ( q(X1)
    | ~ r(X1)
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1023,c_0_675]),c_0_724]) ).

cnf(c_0_1035,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | q(s(X1))
    | p(s(s(X1)))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_1024]),c_0_320]) ).

cnf(c_0_1036,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | p(s(s(X1)))
    | aq(X1)
    | ap(X1) ),
    inference(spm,[status(thm)],[c_0_1025,c_0_272]) ).

cnf(c_0_1037,negated_conjecture,
    ( r(s(X1))
    | q(X1)
    | p(s(X1))
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_1024]),c_0_315]),c_0_248]),c_0_297]) ).

cnf(c_0_1038,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(X1))
    | p(s(X1))
    | ap(X1)
    | ~ rr(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_678]),c_0_317]),c_0_426]) ).

cnf(c_0_1039,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | q(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | ap(X1)
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1026,c_0_1027]) ).

cnf(c_0_1040,negated_conjecture,
    ( qq(s(X1))
    | p(s(s(X1)))
    | ~ qq(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_501,c_0_450]) ).

cnf(c_0_1041,negated_conjecture,
    ( ap(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_853,c_0_1028]) ).

cnf(c_0_1042,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | q(X1)
    | ~ r(s(X1))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1029,c_0_363]) ).

cnf(c_0_1043,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1030,c_0_500]) ).

cnf(c_0_1044,negated_conjecture,
    ( ap(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(s(X1))
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_873,c_0_521]),c_0_1031]),c_0_992]) ).

cnf(c_0_1045,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_520,c_0_450]) ).

cnf(c_0_1046,negated_conjecture,
    ( rr(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1032,c_0_600]),c_0_1009]) ).

cnf(c_0_1047,negated_conjecture,
    ( q(X1)
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_709,c_0_1033]),c_0_1034]) ).

cnf(c_0_1048,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | q(s(X1))
    | p(s(s(X1)))
    | ap(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1035,c_0_1036]),c_0_1037]) ).

cnf(c_0_1049,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | ap(X1)
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1038,c_0_1039]),c_0_495]) ).

cnf(c_0_1050,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(X1))
    | p(s(X1))
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_408,c_0_450]) ).

cnf(c_0_1051,negated_conjecture,
    ( q(s(X1))
    | p(s(s(X1)))
    | ~ qq(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_495,c_0_1040]) ).

cnf(c_0_1052,negated_conjecture,
    ( ap(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1041,c_0_864]),c_0_260]) ).

cnf(c_0_1053,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1042,c_0_781]),c_0_890]) ).

cnf(c_0_1054,negated_conjecture,
    ( qq(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1043,c_0_431]),c_0_1010]) ).

cnf(c_0_1055,negated_conjecture,
    ( ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1044,c_0_1045]),c_0_522]),c_0_1046]) ).

cnf(c_0_1056,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | q(X1)
    | ~ rr(X1)
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1047,c_0_725]) ).

cnf(c_0_1057,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | p(s(s(X1)))
    | ~ r(X1) ),
    inference(spm,[status(thm)],[c_0_1025,c_0_241]) ).

cnf(c_0_1058,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(X1))
    | p(s(s(X1)))
    | ap(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1038,c_0_1048]),c_0_357]) ).

cnf(c_0_1059,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | ap(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1049,c_0_1050]),c_0_1051]) ).

cnf(c_0_1060,negated_conjecture,
    ( r(X1)
    | rr(X1)
    | p(X1)
    | pp(s(X1))
    | ~ ap(X1)
    | ~ pp(X1)
    | ~ q(X1) ),
    c242 ).

cnf(c_0_1061,negated_conjecture,
    ( rr(s(X1))
    | q(s(X1))
    | pp(s(X1))
    | ~ r(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_819,c_0_249]) ).

cnf(c_0_1062,negated_conjecture,
    ( rr(X1)
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_777,c_0_1052]),c_0_847]),c_0_1053]),c_0_890]) ).

cnf(c_0_1063,negated_conjecture,
    ( ap(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1054,c_0_530]),c_0_1055]) ).

cnf(c_0_1064,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | p(X1)
    | ap(X1)
    | ~ rr(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_678]),c_0_402]) ).

cnf(c_0_1065,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | q(X1)
    | ~ rr(X1)
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1056,c_0_736]) ).

cnf(c_0_1066,negated_conjecture,
    ( r(s(X1))
    | qq(s(X1))
    | qq(X1)
    | q(s(X1))
    | pp(X1)
    | p(s(s(X1)))
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_673,c_0_1036]),c_0_484]),c_0_1057]) ).

cnf(c_0_1067,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(X1))
    | p(s(s(X1)))
    | ap(X1)
    | ~ pp(X1) ),
    inference(spm,[status(thm)],[c_0_1058,c_0_454]) ).

cnf(c_0_1068,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(X1))
    | p(s(s(X1)))
    | ap(X1)
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_1058,c_0_1059]) ).

cnf(c_0_1069,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | qq(X1)
    | q(s(X1))
    | pp(s(X1))
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1026,c_0_431]) ).

cnf(c_0_1070,negated_conjecture,
    ( rr(X1)
    | q(s(X1))
    | ~ rr(s(X1))
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_437,c_0_300]) ).

cnf(c_0_1071,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | q(s(X1))
    | pp(s(X1))
    | ~ qq(s(X1))
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_1026,c_0_300]) ).

cnf(c_0_1072,negated_conjecture,
    ( rr(X1)
    | r(X1)
    | pp(s(X1))
    | p(X1)
    | ~ q(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[c_0_1060,c_0_454]) ).

cnf(c_0_1073,negated_conjecture,
    ( rr(s(X1))
    | aq(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1061,c_0_272]),c_0_1062]),c_0_1063]) ).

cnf(c_0_1074,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | p(X1)
    | ap(X1)
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_1027]),c_0_1064]) ).

cnf(c_0_1075,negated_conjecture,
    ( r(X1)
    | qq(s(X1))
    | ~ r(s(X1))
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_377,c_0_450]) ).

cnf(c_0_1076,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(X1))
    | ~ rr(s(X1))
    | ~ p(s(s(X1)))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_1065,c_0_249]) ).

cnf(c_0_1077,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(X1))
    | p(s(s(X1)))
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1049,c_0_1066]),c_0_1067]),c_0_1058]),c_0_1068]),c_0_1037]) ).

cnf(c_0_1078,negated_conjecture,
    ( qq(X1)
    | r(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ rr(X1) ),
    c127 ).

cnf(c_0_1079,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(X1)
    | q(s(X1))
    | pp(s(X1))
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_907,c_0_1069]) ).

cnf(c_0_1080,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | q(s(X1))
    | pp(s(X1))
    | ~ qq(s(X1))
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_1070,c_0_1071]) ).

cnf(c_0_1081,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | r(X1)
    | p(s(s(X1)))
    | p(X1)
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_631,c_0_1072]),c_0_634]) ).

cnf(c_0_1082,negated_conjecture,
    ( r(X1)
    | q(X1)
    | p(X1)
    | ~ rr(s(X1))
    | ~ r(s(X1)) ),
    inference(spm,[status(thm)],[c_0_540,c_0_245]) ).

cnf(c_0_1083,negated_conjecture,
    ( rr(s(X1))
    | r(X1)
    | ~ r(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_1073]),c_0_290]),c_0_376]) ).

cnf(c_0_1084,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | p(X1)
    | ap(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1074,c_0_1075]),c_0_484]) ).

cnf(c_0_1085,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ q(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_638,c_0_249]) ).

cnf(c_0_1086,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(X1))
    | aq(X1)
    | ap(X1)
    | ~ rr(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1076,c_0_272]),c_0_1077]) ).

cnf(c_0_1087,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | ~ rr(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_1078,c_0_300]),c_0_402]),c_0_669]),c_0_659]) ).

cnf(c_0_1088,negated_conjecture,
    ( rr(s(X1))
    | rr(X1)
    | r(s(s(X1)))
    | q(s(X1))
    | pp(s(X1))
    | ap(X1)
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1026,c_0_706]),c_0_1079]),c_0_454]),c_0_1080]),c_0_331]) ).

cnf(c_0_1089,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | p(s(s(X1)))
    | p(X1)
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_1081]),c_0_248]) ).

cnf(c_0_1090,negated_conjecture,
    ( r(X1)
    | p(X1)
    | ~ r(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1082,c_0_1083]),c_0_983]) ).

cnf(c_0_1091,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | pp(X1)
    | p(s(s(X1)))
    | p(X1)
    | ap(X1)
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_563,c_0_1084]) ).

cnf(c_0_1092,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1)))
    | aq(X1)
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1085,c_0_272]),c_0_1077]) ).

cnf(c_0_1093,negated_conjecture,
    ( qq(X1)
    | r(X1)
    | rr(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ q(s(X1)) ),
    c141 ).

cnf(c_0_1094,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | q(X1)
    | pp(X1)
    | ~ rr(s(X1))
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_691,c_0_337]) ).

cnf(c_0_1095,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(s(X1))
    | q(s(X1))
    | ~ rr(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_1086]),c_0_523]) ).

cnf(c_0_1096,negated_conjecture,
    ( r(X1)
    | qq(s(X1))
    | q(s(X1))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_664,c_0_300]),c_0_582]),c_0_659]),c_0_1087]) ).

cnf(c_0_1097,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | q(s(X1))
    | pp(s(X1))
    | p(X1)
    | ap(X1)
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_718,c_0_1088]),c_0_449]) ).

cnf(c_0_1098,negated_conjecture,
    ( r(s(X1))
    | qq(s(X1))
    | ~ r(X1)
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_250,c_0_450]) ).

cnf(c_0_1099,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | p(s(X1))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_1089]),c_0_651]) ).

cnf(c_0_1100,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | pp(X1)
    | p(X1)
    | ap(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1090,c_0_1091]),c_0_440]) ).

cnf(c_0_1101,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | q(s(X1))
    | pp(X1)
    | p(s(X1))
    | ~ rr(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_670,c_0_498]),c_0_509]) ).

cnf(c_0_1102,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_1092]),c_0_679]) ).

cnf(c_0_1103,negated_conjecture,
    ( rr(X1)
    | r(X1)
    | qq(X1)
    | ~ q(s(X1))
    | ~ pp(X1)
    | ~ p(X1)
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[c_0_1093,c_0_674]) ).

cnf(c_0_1104,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | q(s(X1))
    | pp(s(X1))
    | ap(X1)
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1094,c_0_1088]),c_0_1079]),c_0_454]),c_0_1080]),c_0_331]) ).

cnf(c_0_1105,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | r(X1)
    | qq(s(X1))
    | q(s(X1))
    | ap(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1095,c_0_716]),c_0_1096]) ).

cnf(c_0_1106,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | q(s(X1))
    | pp(s(X1))
    | p(X1)
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1097,c_0_1098]),c_0_330]),c_0_440]),c_0_315]) ).

cnf(c_0_1107,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | p(X1)
    | ~ q(X1)
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_523,c_0_448]) ).

cnf(c_0_1108,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | p(s(s(X1)))
    | ~ q(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_1099,c_0_249]) ).

cnf(c_0_1109,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | pp(X1)
    | p(s(X1))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_1100]),c_0_495]),c_0_595]) ).

cnf(c_0_1110,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1101,c_0_1102]) ).

cnf(c_0_1111,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1103,c_0_251]),c_0_571]) ).

cnf(c_0_1112,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | r(X1)
    | q(s(X1))
    | pp(s(X1))
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1104,c_0_1105]),c_0_1106]) ).

cnf(c_0_1113,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | qq(X1)
    | p(X1)
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1107,c_0_1089]) ).

cnf(c_0_1114,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | p(s(s(X1)))
    | aq(X1)
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1108,c_0_272]),c_0_1077]) ).

cnf(c_0_1115,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1109,c_0_1110]),c_0_761]) ).

cnf(c_0_1116,negated_conjecture,
    ( rr(X1)
    | qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_523,c_0_1111]) ).

cnf(c_0_1117,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | r(X1)
    | q(s(X1))
    | pp(X1)
    | ap(X1) ),
    inference(spm,[status(thm)],[c_0_563,c_0_1112]) ).

cnf(c_0_1118,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | qq(s(X1))
    | p(s(X1))
    | ~ q(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_1113,c_0_249]) ).

cnf(c_0_1119,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_823]),c_0_679]),c_0_680]) ).

cnf(c_0_1120,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | p(s(s(X1)))
    | ~ rr(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_1114]),c_0_580]) ).

cnf(c_0_1121,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | pp(X1)
    | p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_1115]),c_0_679]) ).

cnf(c_0_1122,negated_conjecture,
    ( r(X1)
    | p(X1)
    | aq(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ rr(X1)
    | ~ pp(X1) ),
    inference(spm,[status(thm)],[c_0_783,c_0_272]) ).

cnf(c_0_1123,negated_conjecture,
    ( q(X1)
    | p(s(X1))
    | ~ rr(s(X1))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_823]),c_0_340]) ).

cnf(c_0_1124,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | ~ q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_586,c_0_1116]) ).

cnf(c_0_1125,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | q(s(s(X1)))
    | pp(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_1117]),c_0_320]),c_0_761]) ).

cnf(c_0_1126,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | q(s(X1))
    | p(X1)
    | ~ rr(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_741,c_0_260]) ).

cnf(c_0_1127,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | qq(s(X1))
    | p(s(X1))
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1118,c_0_241]),c_0_761]),c_0_330]) ).

cnf(c_0_1128,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1119,c_0_1120]),c_0_1121]),c_0_746]) ).

cnf(c_0_1129,negated_conjecture,
    ( r(X1)
    | p(s(X1))
    | ~ rr(s(X1))
    | ~ rr(X1)
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_1122]),c_0_340]),c_0_481]) ).

cnf(c_0_1130,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(X1)
    | p(s(X1))
    | ~ r(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1123,c_0_719]),c_0_563]),c_0_739]),c_0_340]) ).

cnf(c_0_1131,negated_conjecture,
    ( rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_1073]),c_0_320]) ).

cnf(c_0_1132,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1124,c_0_1033]),c_0_340]) ).

cnf(c_0_1133,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | q(s(s(X1)))
    | p(X1)
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_448]),c_0_352]) ).

cnf(c_0_1134,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | q(s(s(X1)))
    | q(X1)
    | pp(s(X1))
    | p(X1)
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1125,c_0_424]),c_0_761]) ).

cnf(c_0_1135,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | p(s(X1))
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1126,c_0_1127]),c_0_1128]) ).

cnf(c_0_1136,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(X1)
    | p(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1129,c_0_719]),c_0_563]),c_0_739]),c_0_340]),c_0_1130]) ).

cnf(c_0_1137,negated_conjecture,
    ( qq(s(X1))
    | p(s(X1))
    | ~ qq(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_338,c_0_450]) ).

cnf(c_0_1138,negated_conjecture,
    ( q(s(X1))
    | p(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_546,c_0_1131]) ).

cnf(c_0_1139,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | p(X1)
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1132,c_0_1133]) ).

cnf(c_0_1140,negated_conjecture,
    ( rr(s(X1))
    | r(X1)
    | p(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_1073]),c_0_402]),c_0_1063]) ).

cnf(c_0_1141,negated_conjecture,
    ( r(s(s(X1)))
    | r(X1)
    | q(s(s(X1)))
    | pp(s(X1))
    | p(X1)
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1064,c_0_1134]),c_0_402]),c_0_871]) ).

cnf(c_0_1142,negated_conjecture,
    ( r(s(s(X1)))
    | qq(X1)
    | q(s(s(X1)))
    | p(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_769,c_0_1135]),c_0_736]) ).

cnf(c_0_1143,negated_conjecture,
    ( q(X1)
    | p(s(X1))
    | ~ q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1023,c_0_1136]),c_0_847]) ).

cnf(c_0_1144,negated_conjecture,
    ( r(s(s(X1)))
    | qq(X1)
    | q(s(s(X1)))
    | p(s(X1))
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_1135]),c_0_1128]) ).

cnf(c_0_1145,negated_conjecture,
    ( q(X1)
    | p(s(X1))
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1023,c_0_1137]) ).

cnf(c_0_1146,negated_conjecture,
    ( q(s(X1))
    | p(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1138,c_0_500]),c_0_408]) ).

cnf(c_0_1147,negated_conjecture,
    ( q(X1)
    | p(s(X1))
    | p(X1)
    | ~ rr(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_678]),c_0_340]) ).

cnf(c_0_1148,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | p(X1)
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1139,c_0_363]),c_0_260]) ).

cnf(c_0_1149,negated_conjecture,
    ( r(X1)
    | p(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1064,c_0_1140]),c_0_1063]) ).

cnf(c_0_1150,negated_conjecture,
    ( r(s(s(X1)))
    | r(X1)
    | q(s(s(X1)))
    | pp(X1)
    | p(X1)
    | ap(X1) ),
    inference(spm,[status(thm)],[c_0_563,c_0_1141]) ).

cnf(c_0_1151,negated_conjecture,
    ( qq(X1)
    | q(s(s(X1)))
    | p(s(X1))
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_847,c_0_1142]) ).

cnf(c_0_1152,negated_conjecture,
    ( q(X1)
    | p(s(X1))
    | ~ q(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1143,c_0_454]),c_0_340]) ).

cnf(c_0_1153,negated_conjecture,
    ( qq(X1)
    | q(s(s(X1)))
    | p(s(X1))
    | ~ r(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_847,c_0_1144]) ).

cnf(c_0_1154,negated_conjecture,
    ( q(X1)
    | p(s(X1))
    | ~ qq(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1145,c_0_528]),c_0_858]) ).

cnf(c_0_1155,negated_conjecture,
    ( q(s(s(X1)))
    | pp(s(X1))
    | p(s(X1))
    | ~ qq(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1146,c_0_573]),c_0_342]) ).

cnf(c_0_1156,negated_conjecture,
    ( q(X1)
    | p(s(X1))
    | p(X1)
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1147,c_0_1148]),c_0_1023]) ).

cnf(c_0_1157,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | pp(X1)
    | p(X1)
    | ap(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1149,c_0_1150]) ).

cnf(c_0_1158,negated_conjecture,
    ( q(X1)
    | p(s(X1))
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1034,c_0_1151]),c_0_736]),c_0_495]) ).

cnf(c_0_1159,negated_conjecture,
    ( q(X1)
    | p(s(X1))
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1152,c_0_528]),c_0_858]) ).

cnf(c_0_1160,negated_conjecture,
    ( q(X1)
    | p(s(X1))
    | ~ r(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1034,c_0_1153]),c_0_1154]) ).

cnf(c_0_1161,negated_conjecture,
    ( q(s(s(X1)))
    | q(X1)
    | pp(s(X1))
    | p(s(X1))
    | ap(X1)
    | ~ rr(s(X1))
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1155,c_0_678]),c_0_317]) ).

cnf(c_0_1162,negated_conjecture,
    ( rr(s(X1))
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1)))
    | ap(X1)
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1155,c_0_1027]),c_0_495]),c_0_871]) ).

cnf(c_0_1163,negated_conjecture,
    ( q(X1)
    | p(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1156,c_0_1157]),c_0_340]),c_0_1158]),c_0_1159]),c_0_1160]) ).

cnf(c_0_1164,negated_conjecture,
    ( q(s(s(X1)))
    | q(X1)
    | pp(s(X1))
    | p(s(X1))
    | ap(X1)
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1161,c_0_1162]),c_0_1163]) ).

cnf(c_0_1165,negated_conjecture,
    ( q(s(s(s(X1))))
    | q(s(X1))
    | pp(s(s(X1)))
    | p(s(s(X1)))
    | ~ qq(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1164,c_0_465]),c_0_320]) ).

cnf(c_0_1166,negated_conjecture,
    ( q(s(s(X1)))
    | ~ q(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_456,c_0_255]) ).

cnf(c_0_1167,negated_conjecture,
    ( q(s(s(s(X1))))
    | q(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ qq(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_1165]),c_0_320]) ).

cnf(c_0_1168,negated_conjecture,
    ( q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ qq(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1166,c_0_1167]),c_0_342]) ).

cnf(c_0_1169,negated_conjecture,
    ( r(X1)
    | q(X1)
    | p(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_565,c_0_678]) ).

cnf(c_0_1170,negated_conjecture,
    ( q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1168,c_0_300]),c_0_595]) ).

cnf(c_0_1171,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1)))
    | p(X1)
    | ap(X1)
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1169,c_0_1162]),c_0_1170]) ).

cnf(c_0_1172,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | q(X1)
    | qq(s(X1))
    | ~ aq(X1)
    | ~ qq(X1)
    | ~ r(X1) ),
    c126 ).

cnf(c_0_1173,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1)))
    | p(X1)
    | ap(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1171,c_0_1075]),c_0_471]) ).

cnf(c_0_1174,negated_conjecture,
    ( qq(s(X1))
    | q(X1)
    | pp(X1)
    | p(X1)
    | ~ r(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[c_0_1172,c_0_450]) ).

cnf(c_0_1175,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | pp(X1)
    | p(X1)
    | ap(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_1173]),c_0_1157]) ).

cnf(c_0_1176,negated_conjecture,
    ( q(s(s(X1)))
    | q(X1)
    | pp(s(X1))
    | p(s(X1))
    | ap(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1164,c_0_1174]),c_0_1175]),c_0_317]),c_0_454]) ).

cnf(c_0_1177,negated_conjecture,
    ( q(s(s(X1)))
    | q(X1)
    | pp(X1)
    | p(s(X1))
    | ap(X1)
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_563,c_0_1176]) ).

cnf(c_0_1178,negated_conjecture,
    ( q(s(X1))
    | pp(X1)
    | p(s(X1))
    | ap(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_1177]),c_0_595]) ).

cnf(c_0_1179,negated_conjecture,
    ( p(X1)
    | q(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ pp(X1)
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    c230 ).

cnf(c_0_1180,negated_conjecture,
    ( q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_322,c_0_1178]) ).

cnf(c_0_1181,negated_conjecture,
    ( rr(s(s(X1)))
    | r(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1108,c_0_255]) ).

cnf(c_0_1182,negated_conjecture,
    ( qq(s(X1))
    | q(s(X1))
    | ~ qq(X1)
    | ~ q(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_457,c_0_450]) ).

cnf(c_0_1183,negated_conjecture,
    ( q(X1)
    | p(X1)
    | ~ qq(X1)
    | ~ pp(s(X1))
    | ~ pp(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[c_0_1179,c_0_709]) ).

cnf(c_0_1184,negated_conjecture,
    ( q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1180,c_0_903]) ).

cnf(c_0_1185,negated_conjecture,
    ( r(s(X1))
    | p(s(X1))
    | ~ rr(s(s(X1)))
    | ~ rr(s(X1))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_783,c_0_255]) ).

cnf(c_0_1186,negated_conjecture,
    ( r(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_1181]),c_0_457]) ).

cnf(c_0_1187,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1025,c_0_255]) ).

cnf(c_0_1188,negated_conjecture,
    ( r(s(s(X1)))
    | p(s(s(X1)))
    | ap(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_839,c_0_1120]),c_0_1077]) ).

cnf(c_0_1189,negated_conjecture,
    ( q(s(X1))
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ q(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_551,c_0_1182]) ).

cnf(c_0_1190,negated_conjecture,
    ( q(s(s(X1)))
    | q(X1)
    | p(s(s(X1)))
    | p(X1)
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1183,c_0_1184]) ).

cnf(c_0_1191,negated_conjecture,
    ( r(s(s(s(X1))))
    | r(s(X1))
    | p(s(s(s(X1))))
    | p(s(X1))
    | ~ rr(s(X1))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1185,c_0_1120]) ).

cnf(c_0_1192,negated_conjecture,
    ( r(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_1186]),c_0_1187]) ).

cnf(c_0_1193,negated_conjecture,
    ( r(s(X1))
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_1188]),c_0_313]),c_0_248]) ).

cnf(c_0_1194,negated_conjecture,
    ( q(s(X1))
    | p(s(s(X1)))
    | p(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1189,c_0_1190]),c_0_436]) ).

cnf(c_0_1195,negated_conjecture,
    ( p(s(X1))
    | ~ q(s(X1))
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_454]),c_0_340]) ).

cnf(c_0_1196,negated_conjecture,
    ( r(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ rr(s(X1))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_1191]),c_0_1192]),c_0_1193]) ).

cnf(c_0_1197,negated_conjecture,
    ( q(s(X1))
    | p(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_858,c_0_1194]),c_0_847]) ).

cnf(c_0_1198,negated_conjecture,
    ( r(s(s(X1)))
    | p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1195,c_0_1196]),c_0_566]) ).

cnf(c_0_1199,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ pp(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_1197,c_0_249]) ).

cnf(c_0_1200,negated_conjecture,
    ( r(s(s(X1)))
    | q(X1)
    | p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ q(s(X1))
    | ~ pp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1198,c_0_275]) ).

cnf(c_0_1201,negated_conjecture,
    ( rr(s(X1))
    | q(X1)
    | ~ rr(X1)
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_387,c_0_275]) ).

cnf(c_0_1202,negated_conjecture,
    ( q(s(s(s(X1))))
    | p(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ pp(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1199,c_0_255]) ).

cnf(c_0_1203,negated_conjecture,
    ( r(s(s(X1)))
    | q(X1)
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ q(s(X1))
    | ~ pp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1200,c_0_1201]) ).

cnf(c_0_1204,negated_conjecture,
    ( q(s(s(s(X1))))
    | p(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(X1))
    | ~ pp(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1202,c_0_465]) ).

cnf(c_0_1205,negated_conjecture,
    ( r(s(s(X1)))
    | q(X1)
    | p(s(s(X1)))
    | ap(X1)
    | ~ rr(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1203,c_0_454]),c_0_1077]) ).

cnf(c_0_1206,negated_conjecture,
    ( q(s(s(s(X1))))
    | q(s(X1))
    | p(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1204,c_0_1165]) ).

cnf(c_0_1207,negated_conjecture,
    ( r(s(X1))
    | q(X1)
    | p(s(s(X1)))
    | ap(X1)
    | ~ rr(X1)
    | ~ q(s(s(X1)))
    | ~ pp(X1) ),
    inference(spm,[status(thm)],[c_0_622,c_0_1205]) ).

cnf(c_0_1208,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | q(X1)
    | p(s(X1))
    | ap(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_1024]),c_0_528]) ).

cnf(c_0_1209,negated_conjecture,
    ( q(s(s(s(X1))))
    | q(s(X1))
    | p(s(s(X1)))
    | ~ qq(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1206,c_0_761]),c_0_528]) ).

cnf(c_0_1210,negated_conjecture,
    ( r(s(X1))
    | q(X1)
    | p(s(s(X1)))
    | p(X1)
    | ap(X1)
    | ~ rr(X1)
    | ~ pp(X1) ),
    inference(spm,[status(thm)],[c_0_1207,c_0_471]) ).

cnf(c_0_1211,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | q(X1)
    | p(s(X1))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_1208]),c_0_333]),c_0_1037]) ).

cnf(c_0_1212,negated_conjecture,
    ( r(s(X1))
    | q(X1)
    | ~ r(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1034,c_0_756]) ).

cnf(c_0_1213,negated_conjecture,
    ( pp(X1)
    | q(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    c244 ).

cnf(c_0_1214,negated_conjecture,
    ( q(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ pp(s(X1)) ),
    c226 ).

cnf(c_0_1215,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(s(X1)))
    | ~ qq(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1166,c_0_1209]),c_0_342]) ).

cnf(c_0_1216,negated_conjecture,
    ( r(s(X1))
    | q(X1)
    | p(s(X1))
    | ap(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_1210]),c_0_1211]),c_0_317]) ).

cnf(c_0_1217,negated_conjecture,
    ( r(s(X1))
    | q(X1)
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1212,c_0_736]),c_0_1037]) ).

cnf(c_0_1218,negated_conjecture,
    ( p(X1)
    | pp(X1)
    | q(X1)
    | ~ ap(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    c246 ).

cnf(c_0_1219,negated_conjecture,
    ( q(X1)
    | pp(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ pp(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[c_0_1213,c_0_563]) ).

cnf(c_0_1220,negated_conjecture,
    ( q(X1)
    | ~ rr(X1)
    | ~ pp(s(X1))
    | ~ pp(X1)
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[c_0_1214,c_0_709]) ).

cnf(c_0_1221,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1215,c_0_300]),c_0_595]) ).

cnf(c_0_1222,negated_conjecture,
    ( ~ r(s(s(s(X1))))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_721,c_0_790]),c_0_338]),c_0_808]),c_0_794]),c_0_796]) ).

cnf(c_0_1223,negated_conjecture,
    ( r(s(X1))
    | q(X1)
    | p(s(X1))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_1216]),c_0_736]),c_0_1217]) ).

cnf(c_0_1224,negated_conjecture,
    ( q(X1)
    | pp(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_1218,c_0_563]),c_0_1219]) ).

cnf(c_0_1225,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | q(X1)
    | p(s(s(X1)))
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_709,c_0_1184]) ).

cnf(c_0_1226,negated_conjecture,
    ( q(s(s(X1)))
    | q(X1)
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1220,c_0_1184]),c_0_1190]) ).

cnf(c_0_1227,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(s(X1)))
    | ~ qq(X1)
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1221,c_0_903]) ).

cnf(c_0_1228,negated_conjecture,
    ( q(s(s(s(X1))))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(X1))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1204,c_0_454]),c_0_320]),c_0_1222]) ).

cnf(c_0_1229,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1223,c_0_1115]),c_0_595]) ).

cnf(c_0_1230,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1224,c_0_1184]),c_0_1225]),c_0_1226]),c_0_1227]) ).

cnf(c_0_1231,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | qq(s(X1))
    | p(s(s(X1)))
    | ~ pp(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_727]),c_0_320]) ).

cnf(c_0_1232,negated_conjecture,
    ( q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ qq(s(X1))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1228,c_0_1229]) ).

cnf(c_0_1233,negated_conjecture,
    ( q(s(X1))
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1189,c_0_1230]) ).

cnf(c_0_1234,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | qq(s(X1))
    | p(s(s(X1)))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1231,c_0_454]),c_0_320]) ).

cnf(c_0_1235,negated_conjecture,
    ( rr(s(s(X1)))
    | r(s(s(s(X1))))
    | q(s(s(X1)))
    | pp(s(s(X1)))
    | ~ qq(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1026,c_0_251]) ).

cnf(c_0_1236,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ qq(s(X1))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1166,c_0_1232]) ).

cnf(c_0_1237,negated_conjecture,
    ( q(s(X1))
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_858,c_0_1233]) ).

cnf(c_0_1238,negated_conjecture,
    ( p(X1)
    | q(X1)
    | ~ aq(X1)
    | ~ pp(X1)
    | ~ qq(X1)
    | ~ r(X1)
    | ~ qq(s(X1)) ),
    c106 ).

cnf(c_0_1239,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | qq(s(X1))
    | p(s(s(X1)))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_488,c_0_1234]) ).

cnf(c_0_1240,negated_conjecture,
    ( rr(s(s(X1)))
    | r(s(s(s(X1))))
    | q(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ pp(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1035,c_0_251]) ).

cnf(c_0_1241,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | q(s(s(X1)))
    | pp(s(s(X1)))
    | ~ qq(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_451,c_0_1235]) ).

cnf(c_0_1242,negated_conjecture,
    ( rr(s(X1))
    | r(s(X1))
    | qq(s(s(X1)))
    | q(s(X1))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_716]),c_0_322]) ).

cnf(c_0_1243,negated_conjecture,
    ( r(s(s(X1)))
    | r(X1)
    | q(s(X1))
    | pp(s(X1))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1080,c_0_1096]),c_0_1087]) ).

cnf(c_0_1244,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(X1))
    | ~ qq(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1146,c_0_1236]),c_0_1155]),c_0_342]) ).

cnf(c_0_1245,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ qq(s(X1))
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1237,c_0_249]),c_0_1229]) ).

cnf(c_0_1246,negated_conjecture,
    ( r(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ qq(s(X1)) ),
    c110 ).

cnf(c_0_1247,negated_conjecture,
    ( q(X1)
    | p(X1)
    | ~ qq(s(X1))
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[c_0_1238,c_0_565]) ).

cnf(c_0_1248,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | qq(s(X1))
    | p(s(s(X1)))
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1239,c_0_450]) ).

cnf(c_0_1249,negated_conjecture,
    ( rr(s(s(X1)))
    | r(s(s(s(X1))))
    | qq(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ pp(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1239,c_0_251]) ).

cnf(c_0_1250,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | q(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ pp(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_451,c_0_1240]) ).

cnf(c_0_1251,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | r(s(X1))
    | q(s(s(X1)))
    | pp(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1241,c_0_1242]),c_0_528]),c_0_1243]) ).

cnf(c_0_1252,negated_conjecture,
    ( q(s(s(s(X1))))
    | p(s(s(X1)))
    | ~ qq(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1244,c_0_251]) ).

cnf(c_0_1253,negated_conjecture,
    ( qq(s(s(X1)))
    | qq(s(X1))
    | pp(s(X1))
    | p(s(X1))
    | ~ r(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_577,c_0_251]) ).

cnf(c_0_1254,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(s(X1)))
    | ap(X1)
    | ~ rr(s(X1))
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1245,c_0_272]),c_0_1215]) ).

cnf(c_0_1255,negated_conjecture,
    ( rr(X1)
    | q(s(X1))
    | pp(X1)
    | p(s(X1))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_1178]),c_0_595]) ).

cnf(c_0_1256,negated_conjecture,
    ( r(X1)
    | ~ qq(s(X1))
    | ~ qq(X1)
    | ~ q(X1)
    | ~ pp(X1)
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[c_0_1246,c_0_565]) ).

cnf(c_0_1257,negated_conjecture,
    ( q(X1)
    | ~ qq(s(X1))
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1247,c_0_275]),c_0_656]) ).

cnf(c_0_1258,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(s(X1))
    | p(s(s(X1)))
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_685,c_0_1248]) ).

cnf(c_0_1259,negated_conjecture,
    ( rr(X1)
    | r(X1)
    | qq(X1)
    | ~ qq(s(X1))
    | ~ q(s(X1))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1103,c_0_431]),c_0_574]) ).

cnf(c_0_1260,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | qq(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ pp(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_451,c_0_1249]) ).

cnf(c_0_1261,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | r(s(X1))
    | q(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1250,c_0_1251]) ).

cnf(c_0_1262,negated_conjecture,
    ( q(s(s(X1)))
    | ~ q(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_457,c_0_251]) ).

cnf(c_0_1263,negated_conjecture,
    ( qq(s(X1))
    | q(s(s(s(X1))))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ r(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1252,c_0_1253]),c_0_363]) ).

cnf(c_0_1264,negated_conjecture,
    ( q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1254,c_0_1255]),c_0_1180]) ).

cnf(c_0_1265,negated_conjecture,
    ( r(s(X1))
    | ~ qq(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(X1))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1256,c_0_251]) ).

cnf(c_0_1266,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | q(X1)
    | p(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ pp(s(X1))
    | ~ pp(X1) ),
    inference(spm,[status(thm)],[c_0_1257,c_0_1258]) ).

cnf(c_0_1267,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | r(s(X1))
    | qq(s(X1))
    | p(s(s(s(X1))))
    | ~ pp(s(s(X1)))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1259,c_0_1260]),c_0_1261]) ).

cnf(c_0_1268,negated_conjecture,
    ( q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1262,c_0_1263]),c_0_707]),c_0_1264]) ).

cnf(c_0_1269,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1221,c_0_1096]),c_0_595]) ).

cnf(c_0_1270,negated_conjecture,
    ( r(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ rr(s(s(X1)))
    | ~ pp(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1198,c_0_251]) ).

cnf(c_0_1271,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | r(s(X1))
    | p(s(s(s(X1))))
    | ~ qq(s(X1))
    | ~ q(s(X1))
    | ~ pp(s(s(X1)))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1265,c_0_1258]) ).

cnf(c_0_1272,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | q(X1)
    | p(s(s(X1)))
    | ap(X1)
    | ~ qq(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1266,c_0_454]),c_0_1077]) ).

cnf(c_0_1273,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | r(s(X1))
    | qq(s(X1))
    | p(s(s(s(X1))))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1267,c_0_454]),c_0_322]) ).

cnf(c_0_1274,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | p(X1)
    | ~ q(X1)
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_523,c_0_351]) ).

cnf(c_0_1275,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(s(X1)))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_1268]),c_0_1269]) ).

cnf(c_0_1276,negated_conjecture,
    ( r(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ rr(s(X1))
    | ~ pp(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1270,c_0_1120]) ).

cnf(c_0_1277,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | r(s(X1))
    | p(s(s(s(X1))))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1271,c_0_454]),c_0_1272]),c_0_1273]),c_0_322]) ).

cnf(c_0_1278,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | pp(X1)
    | p(X1)
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1274,c_0_636]) ).

cnf(c_0_1279,negated_conjecture,
    ( qq(X1)
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_594,c_0_1275]) ).

cnf(c_0_1280,negated_conjecture,
    ( r(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ rr(s(X1))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1276,c_0_454]),c_0_322]) ).

cnf(c_0_1281,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ q(s(s(s(X1))))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_1277]),c_0_273]) ).

cnf(c_0_1282,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | pp(s(X1))
    | p(s(X1))
    | ~ q(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_1278,c_0_249]) ).

cnf(c_0_1283,negated_conjecture,
    ( qq(X1)
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_858,c_0_1279]) ).

cnf(c_0_1284,negated_conjecture,
    ( r(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ q(s(s(s(X1))))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_1280]),c_0_1281]) ).

cnf(c_0_1285,negated_conjecture,
    ( rr(s(X1))
    | r(s(X1))
    | pp(s(X1))
    | p(s(X1))
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1282,c_0_241]),c_0_761]),c_0_407]) ).

cnf(c_0_1286,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | ~ rr(s(X1))
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_437,c_0_275]) ).

cnf(c_0_1287,negated_conjecture,
    ( rr(s(X1))
    | q(X1)
    | pp(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_990,c_0_275]) ).

cnf(c_0_1288,negated_conjecture,
    ( rr(s(X1))
    | qq(X1)
    | pp(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_990,c_0_431]) ).

cnf(c_0_1289,negated_conjecture,
    ( qq(s(X1))
    | p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_1283,c_0_249]) ).

cnf(c_0_1290,negated_conjecture,
    ( p(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_338,c_0_251]) ).

cnf(c_0_1291,negated_conjecture,
    ( r(s(s(X1)))
    | p(s(s(s(X1))))
    | p(s(X1))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1284,c_0_471]) ).

cnf(c_0_1292,negated_conjecture,
    ( r(s(X1))
    | qq(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_688,c_0_1285]),c_0_736]) ).

cnf(c_0_1293,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | aq(X1)
    | ap(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_984,c_0_272]),c_0_298]) ).

cnf(c_0_1294,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | pp(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1286,c_0_1287]) ).

cnf(c_0_1295,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | pp(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_907,c_0_1288]) ).

cnf(c_0_1296,negated_conjecture,
    ( qq(s(X1))
    | aq(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1289,c_0_272]),c_0_1063]) ).

cnf(c_0_1297,negated_conjecture,
    ( rr(s(X1))
    | qq(X1)
    | p(X1)
    | aq(X1)
    | ap(X1)
    | ~ r(X1)
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_302,c_0_272]) ).

cnf(c_0_1298,negated_conjecture,
    ( r(s(s(X1)))
    | p(s(s(X1)))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1290,c_0_1291]),c_0_651]) ).

cnf(c_0_1299,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ r(X1) ),
    inference(spm,[status(thm)],[c_0_700,c_0_1292]) ).

cnf(c_0_1300,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_1293]),c_0_523]) ).

cnf(c_0_1301,negated_conjecture,
    ( rr(s(X1))
    | rr(X1)
    | pp(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_990,c_0_1293]),c_0_1294]),c_0_1295]),c_0_413]),c_0_454]) ).

cnf(c_0_1302,negated_conjecture,
    ( rr(X1)
    | qq(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_1296]),c_0_523]) ).

cnf(c_0_1303,negated_conjecture,
    ( rr(s(X1))
    | rr(X1)
    | qq(s(X1))
    | p(X1)
    | ap(X1)
    | ~ r(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_1297]),c_0_549]) ).

cnf(c_0_1304,negated_conjecture,
    ( r(s(s(X1)))
    | r(X1)
    | qq(X1)
    | pp(X1)
    | p(s(s(X1)))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1298,c_0_629]) ).

cnf(c_0_1305,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | pp(X1)
    | p(s(s(X1)))
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_1299]),c_0_248]) ).

cnf(c_0_1306,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(s(X1)))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ rr(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_677,c_0_255]) ).

cnf(c_0_1307,negated_conjecture,
    ( rr(s(s(X1)))
    | r(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_1114]),c_0_320]) ).

cnf(c_0_1308,negated_conjecture,
    ( rr(X1)
    | pp(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1300,c_0_1301]),c_0_1294]),c_0_1295]),c_0_413]),c_0_454]) ).

cnf(c_0_1309,negated_conjecture,
    ( rr(X1)
    | qq(s(X1))
    | p(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1302,c_0_1303]),c_0_675]) ).

cnf(c_0_1310,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | pp(X1)
    | p(s(s(X1)))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_1304]),c_0_1305]) ).

cnf(c_0_1311,negated_conjecture,
    ( r(s(s(s(X1))))
    | qq(s(s(X1)))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1306,c_0_1307]),c_0_500]) ).

cnf(c_0_1312,negated_conjecture,
    ( qq(s(X1))
    | qq(X1)
    | pp(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_1296]),c_0_839]) ).

cnf(c_0_1313,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | qq(X1)
    | pp(X1)
    | p(X1)
    | ap(X1)
    | ~ r(X1)
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_577,c_0_1297]) ).

cnf(c_0_1314,negated_conjecture,
    ( rr(X1)
    | pp(s(X1))
    | p(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1308,c_0_1309]) ).

cnf(c_0_1315,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(s(X1))
    | qq(X1)
    | p(X1)
    | ~ r(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_288]),c_0_290]) ).

cnf(c_0_1316,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | pp(X1)
    | p(s(X1))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_340,c_0_1310]) ).

cnf(c_0_1317,negated_conjecture,
    ( r(s(s(s(X1))))
    | qq(s(X1))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_472,c_0_1311]) ).

cnf(c_0_1318,negated_conjecture,
    ( rr(s(X1))
    | q(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_541,c_0_258]) ).

cnf(c_0_1319,negated_conjecture,
    ( qq(X1)
    | pp(X1)
    | p(X1)
    | ~ rr(X1)
    | ~ qq(s(X1))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_570,c_0_431]),c_0_574]) ).

cnf(c_0_1320,negated_conjecture,
    ( qq(s(X1))
    | qq(X1)
    | pp(X1)
    | p(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1312,c_0_1313]),c_0_675]) ).

cnf(c_0_1321,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | p(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_563,c_0_1314]) ).

cnf(c_0_1322,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | qq(X1)
    | pp(X1)
    | p(X1)
    | ~ r(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_288]),c_0_290]) ).

cnf(c_0_1323,negated_conjecture,
    ( r(s(s(X1)))
    | qq(X1)
    | q(s(X1))
    | p(X1)
    | ~ r(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_1315]),c_0_810]) ).

cnf(c_0_1324,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ q(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_1316,c_0_249]) ).

cnf(c_0_1325,negated_conjecture,
    ( r(s(s(s(X1))))
    | q(s(X1))
    | p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_1307]),c_0_1146]) ).

cnf(c_0_1326,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | qq(s(X1))
    | p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1231,c_0_1317]),c_0_651]) ).

cnf(c_0_1327,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_932,c_0_1318]),c_0_445]) ).

cnf(c_0_1328,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | q(s(X1))
    | p(s(X1))
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_739,c_0_1106]),c_0_317]),c_0_426]) ).

cnf(c_0_1329,negated_conjecture,
    ( qq(X1)
    | pp(X1)
    | p(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1319,c_0_1320]),c_0_1321]) ).

cnf(c_0_1330,negated_conjecture,
    ( r(s(s(X1)))
    | qq(X1)
    | pp(X1)
    | p(X1)
    | ~ rr(X1)
    | ~ r(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1319,c_0_1322]),c_0_1323]) ).

cnf(c_0_1331,negated_conjecture,
    ( r(s(X1))
    | ~ r(X1)
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_964,c_0_241]),c_0_622]) ).

cnf(c_0_1332,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | aq(X1)
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1324,c_0_272]),c_0_1077]) ).

cnf(c_0_1333,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | p(s(s(s(X1))))
    | p(s(X1))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1018,c_0_1307]),c_0_1325]),c_0_1326]) ).

cnf(c_0_1334,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_1327,c_0_1075]) ).

cnf(c_0_1335,negated_conjecture,
    ( rr(X1)
    | q(s(X1))
    | p(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_847,c_0_1328]),c_0_340]) ).

cnf(c_0_1336,negated_conjecture,
    ( qq(X1)
    | pp(X1)
    | p(X1)
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1329,c_0_1330]),c_0_622]) ).

cnf(c_0_1337,negated_conjecture,
    ( r(s(X1))
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1331,c_0_1098]) ).

cnf(c_0_1338,negated_conjecture,
    ( r(s(X1))
    | pp(s(X1))
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_972,c_0_1098]) ).

cnf(c_0_1339,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(X1)
    | p(s(X1))
    | ap(X1)
    | ~ pp(X1) ),
    inference(spm,[status(thm)],[c_0_742,c_0_454]) ).

cnf(c_0_1340,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | p(s(s(X1)))
    | ap(X1)
    | ~ r(X1)
    | ~ qq(s(X1))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_386,c_0_1114]) ).

cnf(c_0_1341,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ rr(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_1332]),c_0_523]) ).

cnf(c_0_1342,negated_conjecture,
    ( r(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_1333]),c_0_1192]),c_0_1196]) ).

cnf(c_0_1343,negated_conjecture,
    ( ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_922,c_0_880]),c_0_847]),c_0_563]),c_0_822]) ).

cnf(c_0_1344,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | pp(X1)
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_1334]),c_0_376]) ).

cnf(c_0_1345,negated_conjecture,
    ( r(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_944,c_0_290]) ).

cnf(c_0_1346,negated_conjecture,
    ( qq(s(s(X1)))
    | ~ rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_1296]),c_0_320]) ).

cnf(c_0_1347,negated_conjecture,
    ( rr(s(s(X1)))
    | qq(s(X1))
    | p(s(X1))
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_302,c_0_255]) ).

cnf(c_0_1348,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | p(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1199,c_0_245]),c_0_528]) ).

cnf(c_0_1349,negated_conjecture,
    ( rr(X1)
    | r(X1)
    | q(s(X1))
    | pp(X1)
    | p(s(X1))
    | ap(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1335,c_0_1091]),c_0_317]) ).

cnf(c_0_1350,negated_conjecture,
    ( rr(s(X1))
    | ~ rr(X1)
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_964,c_0_258]),c_0_788]) ).

cnf(c_0_1351,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | p(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_320,c_0_1336]) ).

cnf(c_0_1352,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_753,c_0_450]),c_0_410]) ).

cnf(c_0_1353,negated_conjecture,
    ( r(s(X1))
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1337,c_0_1338]),c_0_736]) ).

cnf(c_0_1354,negated_conjecture,
    ( r(s(X1))
    | q(s(s(X1)))
    | ~ r(X1)
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_336,c_0_241]) ).

cnf(c_0_1355,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | qq(X1)
    | p(s(X1))
    | ap(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_1339]),c_0_528]) ).

cnf(c_0_1356,negated_conjecture,
    ( r(s(s(X1)))
    | p(s(s(X1)))
    | ap(X1)
    | ~ r(X1)
    | ~ qq(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_839,c_0_1340]),c_0_1077]) ).

cnf(c_0_1357,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1341,c_0_1127]),c_0_651]) ).

cnf(c_0_1358,negated_conjecture,
    ( r(s(s(X1)))
    | p(s(s(X1)))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1195,c_0_1342]),c_0_1229]) ).

cnf(c_0_1359,negated_conjecture,
    ( qq(s(X1))
    | q(X1)
    | pp(X1)
    | p(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_678]),c_0_1174]) ).

cnf(c_0_1360,negated_conjecture,
    ( ap(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1343,c_0_454]) ).

cnf(c_0_1361,negated_conjecture,
    ( r(X1)
    | pp(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_858,c_0_1344]),c_0_1345]),c_0_622]) ).

cnf(c_0_1362,negated_conjecture,
    ( qq(s(s(X1)))
    | p(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1346,c_0_1347]),c_0_457]),c_0_465]) ).

cnf(c_0_1363,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | p(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1348,c_0_1075]),c_0_528]) ).

cnf(c_0_1364,negated_conjecture,
    ( rr(X1)
    | r(X1)
    | q(s(X1))
    | pp(X1)
    | p(s(X1))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_497,c_0_1349]),c_0_595]) ).

cnf(c_0_1365,negated_conjecture,
    ( ~ rr(X1)
    | ~ r(X1)
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_865,c_0_1350]),c_0_260]),c_0_589]) ).

cnf(c_0_1366,negated_conjecture,
    ( q(s(X1))
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_656,c_0_1182]) ).

cnf(c_0_1367,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1351,c_0_450]),c_0_1352]) ).

cnf(c_0_1368,negated_conjecture,
    ( p(s(X1))
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_529,c_0_1137]) ).

cnf(c_0_1369,negated_conjecture,
    ( r(s(X1))
    | ~ r(X1)
    | ~ qq(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1353,c_0_1354]),c_0_761]) ).

cnf(c_0_1370,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | qq(X1)
    | p(s(X1))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1099,c_0_1355]),c_0_1211]) ).

cnf(c_0_1371,negated_conjecture,
    ( r(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1)))
    | ap(X1)
    | ~ r(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1356,c_0_1357]),c_0_1188]) ).

cnf(c_0_1372,negated_conjecture,
    ( r(s(s(X1)))
    | q(X1)
    | p(s(s(X1)))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1358,c_0_275]),c_0_1223]) ).

cnf(c_0_1373,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(X1)
    | pp(X1)
    | p(X1)
    | ~ rr(X1)
    | ~ r(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1359,c_0_805]),c_0_290]),c_0_273]) ).

cnf(c_0_1374,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(X1))
    | pp(X1)
    | ~ r(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_315]),c_0_273]) ).

cnf(c_0_1375,negated_conjecture,
    ( p(X1)
    | ~ rr(s(X1))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_874]),c_0_340]),c_0_388]) ).

cnf(c_0_1376,negated_conjecture,
    ( rr(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_1073]),c_0_580]) ).

cnf(c_0_1377,negated_conjecture,
    ( r(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1360,c_0_290]),c_0_1361]),c_0_376]) ).

cnf(c_0_1378,negated_conjecture,
    ( qq(s(X1))
    | p(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_472,c_0_1362]) ).

cnf(c_0_1379,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | p(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ pp(X1) ),
    inference(spm,[status(thm)],[c_0_1363,c_0_454]) ).

cnf(c_0_1380,negated_conjecture,
    ( r(X1)
    | pp(X1)
    | p(s(X1))
    | ~ r(s(X1))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1361,c_0_1364]),c_0_622]) ).

cnf(c_0_1381,negated_conjecture,
    ( ~ rr(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1365,c_0_850]),c_0_529]),c_0_724]),c_0_1366]) ).

cnf(c_0_1382,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1367,c_0_887]) ).

cnf(c_0_1383,negated_conjecture,
    ( r(s(X1))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1368,c_0_1193]),c_0_761]),c_0_1369]) ).

cnf(c_0_1384,negated_conjecture,
    ( r(s(s(X1)))
    | p(s(s(X1)))
    | ap(X1)
    | ~ r(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_839,c_0_1370]),c_0_1371]),c_0_1077]),c_0_1356]) ).

cnf(c_0_1385,negated_conjecture,
    ( r(s(s(X1)))
    | q(X1)
    | p(s(s(X1)))
    | ap(X1)
    | ~ pp(X1) ),
    inference(spm,[status(thm)],[c_0_1372,c_0_454]) ).

cnf(c_0_1386,negated_conjecture,
    ( r(s(s(X1)))
    | q(X1)
    | pp(X1)
    | p(X1)
    | ~ rr(X1)
    | ~ r(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1031,c_0_1373]),c_0_1374]),c_0_1330]) ).

cnf(c_0_1387,negated_conjecture,
    ( q(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_1012,c_0_307]) ).

cnf(c_0_1388,negated_conjecture,
    ( q(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_876,c_0_885]) ).

cnf(c_0_1389,negated_conjecture,
    ( p(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ qq(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1375,c_0_1376]) ).

cnf(c_0_1390,negated_conjecture,
    ( r(s(s(X1)))
    | p(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1375,c_0_805]),c_0_290]) ).

cnf(c_0_1391,negated_conjecture,
    ( r(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_910,c_0_882]),c_0_290]),c_0_410]),c_0_383]),c_0_1377]) ).

cnf(c_0_1392,negated_conjecture,
    ( qq(s(X1))
    | p(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1378,c_0_500]),c_0_622]) ).

cnf(c_0_1393,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | p(s(X1))
    | ap(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1379,c_0_761]),c_0_1380]),c_0_528]) ).

cnf(c_0_1394,negated_conjecture,
    ( ap(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1381,c_0_454]) ).

cnf(c_0_1395,negated_conjecture,
    ( qq(s(X1))
    | qq(X1)
    | pp(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_673,c_0_1296]),c_0_839]) ).

cnf(c_0_1396,negated_conjecture,
    ( rr(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_258]),c_0_256]) ).

cnf(c_0_1397,negated_conjecture,
    ( r(X1)
    | ~ r(s(X1))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_616,c_0_1269]),c_0_983]) ).

cnf(c_0_1398,negated_conjecture,
    ( q(X1)
    | pp(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1031,c_0_1382]),c_0_352]) ).

cnf(c_0_1399,negated_conjecture,
    ( r(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1383,c_0_805]) ).

cnf(c_0_1400,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(X1)
    | p(s(s(X1)))
    | ap(X1)
    | ~ rr(X1)
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1359,c_0_1120]),c_0_1384]),c_0_1385]) ).

cnf(c_0_1401,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | pp(s(X1))
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_682,c_0_999]),c_0_291]) ).

cnf(c_0_1402,negated_conjecture,
    ( q(X1)
    | pp(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1012,c_0_1386]),c_0_1387]) ).

cnf(c_0_1403,negated_conjecture,
    ( q(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1388,c_0_454]),c_0_319]) ).

cnf(c_0_1404,negated_conjecture,
    ( rr(X1)
    | q(s(s(X1)))
    | ap(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_512,c_0_761]) ).

cnf(c_0_1405,negated_conjecture,
    ( p(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1389,c_0_1390]),c_0_1391]) ).

cnf(c_0_1406,negated_conjecture,
    ( ~ pqr4(X1)
    | ~ qq(X1) ),
    c030 ).

cnf(c_0_1407,negated_conjecture,
    ( pr(X1)
    | pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | rr(s(s(X1)))
    | pp(s(s(X1)))
    | p(s(s(X1)))
    | pqr1(X1)
    | ~ r(s(s(s(X1))))
    | ~ p(s(s(s(X1)))) ),
    inference(spm,[status(thm)],[c_0_238,c_0_539]) ).

cnf(c_0_1408,negated_conjecture,
    ( ~ pqr3(X1)
    | ~ qq(X1) ),
    c023 ).

cnf(c_0_1409,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ qq(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_884,c_0_801]),c_0_322]) ).

cnf(c_0_1410,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1392,c_0_450]),c_0_1352]) ).

cnf(c_0_1411,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | p(s(X1))
    | ap(X1)
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_470,c_0_1393]) ).

cnf(c_0_1412,negated_conjecture,
    ( ap(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1394,c_0_871]),c_0_972]) ).

cnf(c_0_1413,negated_conjecture,
    ( qq(s(X1))
    | qq(X1)
    | pp(X1)
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1395,c_0_1396]),c_0_1336]),c_0_1397]) ).

cnf(c_0_1414,negated_conjecture,
    ( q(X1)
    | pp(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_1398]),c_0_291]) ).

cnf(c_0_1415,negated_conjecture,
    ( r(s(s(X1)))
    | q(X1)
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1399,c_0_1400]),c_0_290]),c_0_273]) ).

cnf(c_0_1416,negated_conjecture,
    ( q(X1)
    | pp(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_1401]),c_0_291]),c_0_1402]) ).

cnf(c_0_1417,negated_conjecture,
    ( q(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1403,c_0_810]) ).

cnf(c_0_1418,negated_conjecture,
    ( rr(X1)
    | ap(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_764,c_0_1404]),c_0_260]) ).

cnf(c_0_1419,negated_conjecture,
    ( q(s(s(s(X1))))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1228,c_0_761]) ).

cnf(c_0_1420,negated_conjecture,
    ( q(s(X1))
    | p(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1405,c_0_1233]) ).

cnf(c_0_1421,negated_conjecture,
    ( pr(X1)
    | rr(s(s(X1)))
    | pp(s(s(X1)))
    | p(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(X1)
    | ~ p(s(s(s(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1406,c_0_1407]),c_0_515]),c_0_513]),c_0_1408]) ).

cnf(c_0_1422,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ r(s(X1))
    | ~ qq(s(X1))
    | ~ q(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1409,c_0_1410]) ).

cnf(c_0_1423,negated_conjecture,
    ( r(s(s(X1)))
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1)) ),
    inference(spm,[status(thm)],[c_0_313,c_0_805]) ).

cnf(c_0_1424,negated_conjecture,
    ( r(X1)
    | p(s(X1))
    | ~ r(s(X1))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_1411]),c_0_622]) ).

cnf(c_0_1425,negated_conjecture,
    ( q(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1031,c_0_1410]),c_0_352]) ).

cnf(c_0_1426,negated_conjecture,
    ( ~ rr(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_1412]),c_0_529]),c_0_724]) ).

cnf(c_0_1427,negated_conjecture,
    ( qq(X1)
    | pp(X1)
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_1413]),c_0_1336]),c_0_1397]) ).

cnf(c_0_1428,negated_conjecture,
    ( qq(X1)
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_602,c_0_317]) ).

cnf(c_0_1429,negated_conjecture,
    ( q(X1)
    | pp(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1414,c_0_1415]),c_0_1416]) ).

cnf(c_0_1430,negated_conjecture,
    ( rr(s(X1))
    | q(s(X1))
    | ~ rr(X1)
    | ~ q(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_456,c_0_258]) ).

cnf(c_0_1431,negated_conjecture,
    ( rr(s(s(X1)))
    | pp(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_990,c_0_251]) ).

cnf(c_0_1432,negated_conjecture,
    ( q(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1417,c_0_817]),c_0_595]) ).

cnf(c_0_1433,negated_conjecture,
    ( rr(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_1418]),c_0_285]),c_0_522]) ).

cnf(c_0_1434,negated_conjecture,
    ( q(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1189,c_0_1419]) ).

cnf(c_0_1435,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(X1))
    | aq(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ pp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1199,c_0_272]) ).

cnf(c_0_1436,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_1420,c_0_249]) ).

cnf(c_0_1437,negated_conjecture,
    ( pr(X1)
    | pp(s(s(X1)))
    | p(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(X1)
    | ~ p(s(s(s(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_1421]),c_0_390]) ).

cnf(c_0_1438,negated_conjecture,
    ( p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1422,c_0_1423]),c_0_1424]) ).

cnf(c_0_1439,negated_conjecture,
    ( q(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1425,c_0_1423]),c_0_724]) ).

cnf(c_0_1440,negated_conjecture,
    ( ~ r(s(X1))
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1426,c_0_1062]),c_0_972]),c_0_622]) ).

cnf(c_0_1441,negated_conjecture,
    ( qq(X1)
    | pp(X1)
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1427,c_0_307]),c_0_1336]) ).

cnf(c_0_1442,negated_conjecture,
    ( qq(X1)
    | pp(X1)
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_1336]),c_0_1428]) ).

cnf(c_0_1443,negated_conjecture,
    ( q(s(X1))
    | pp(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1429,c_0_1430]) ).

cnf(c_0_1444,negated_conjecture,
    ( pp(s(X1))
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_1382]),c_0_622]) ).

cnf(c_0_1445,negated_conjecture,
    ( rr(s(X1))
    | pp(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_451,c_0_1431]) ).

cnf(c_0_1446,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | pp(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1295,c_0_1002]),c_0_666]),c_0_1111]),c_0_571]) ).

cnf(c_0_1447,negated_conjecture,
    ( r(X1)
    | q(X1)
    | aq(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ rr(X1)
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_918,c_0_272]) ).

cnf(c_0_1448,negated_conjecture,
    ( q(s(X1))
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1432,c_0_1433]),c_0_595]) ).

cnf(c_0_1449,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ pp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1434,c_0_1435]) ).

cnf(c_0_1450,negated_conjecture,
    ( q(X1)
    | r(X1)
    | rr(X1)
    | pp(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ qq(X1)
    | ~ p(X1) ),
    c194 ).

cnf(c_0_1451,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | p(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1436,c_0_245]),c_0_528]) ).

cnf(c_0_1452,negated_conjecture,
    ( pr(X1)
    | p(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(X1)
    | ~ p(s(s(s(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_1437]),c_0_390]) ).

cnf(c_0_1453,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1438,c_0_946]),c_0_1439]),c_0_1440]) ).

cnf(c_0_1454,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ q(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_322,c_0_1441]) ).

cnf(c_0_1455,negated_conjecture,
    ( q(s(X1))
    | pp(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1442,c_0_1430]),c_0_724]),c_0_1443]) ).

cnf(c_0_1456,negated_conjecture,
    ( pp(X1)
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_563,c_0_1444]) ).

cnf(c_0_1457,negated_conjecture,
    ( rr(s(X1))
    | pp(s(s(X1)))
    | pp(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1445,c_0_645]),c_0_656]),c_0_1446]),c_0_571]) ).

cnf(c_0_1458,negated_conjecture,
    ( r(X1)
    | q(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ rr(X1)
    | ~ qq(s(X1))
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_1017,c_0_1447]) ).

cnf(c_0_1459,negated_conjecture,
    ( rr(s(X1))
    | q(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1199,c_0_258]),c_0_788]) ).

cnf(c_0_1460,negated_conjecture,
    ( qq(X1)
    | q(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ pp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1434,c_0_431]) ).

cnf(c_0_1461,negated_conjecture,
    ( q(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1434,c_0_300]),c_0_1448]) ).

cnf(c_0_1462,negated_conjecture,
    ( rr(s(X1))
    | q(s(s(X1)))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1434,c_0_784]),c_0_1449]) ).

cnf(c_0_1463,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | p(s(X1))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_1411]),c_0_495]),c_0_595]) ).

cnf(c_0_1464,negated_conjecture,
    ( rr(s(X1))
    | rr(X1)
    | q(X1)
    | pp(X1)
    | ~ p(X1)
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_1450,c_0_329]),c_0_310]) ).

cnf(c_0_1465,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1451,c_0_580]) ).

cnf(c_0_1466,negated_conjecture,
    ( pr(X1)
    | p(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ p(s(s(s(X1)))) ),
    inference(spm,[status(thm)],[c_0_1452,c_0_562]) ).

cnf(c_0_1467,negated_conjecture,
    ( ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1453,c_0_580]) ).

cnf(c_0_1468,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1454,c_0_580]),c_0_1455]) ).

cnf(c_0_1469,negated_conjecture,
    ( pp(X1)
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1456,c_0_307]),c_0_656]),c_0_470]) ).

cnf(c_0_1470,negated_conjecture,
    ( rr(s(X1))
    | pp(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_1457]),c_0_322]) ).

cnf(c_0_1471,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1458,c_0_1459]),c_0_1460]),c_0_709]),c_0_1461]) ).

cnf(c_0_1472,negated_conjecture,
    ( q(s(s(X1)))
    | p(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1434,c_0_678]),c_0_1462]),c_0_1461]) ).

cnf(c_0_1473,negated_conjecture,
    ( r(X1)
    | qq(s(X1))
    | q(s(X1))
    | p(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_450]),c_0_436]) ).

cnf(c_0_1474,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1245,c_0_245]),c_0_1463]) ).

cnf(c_0_1475,negated_conjecture,
    ( rr(s(X1))
    | r(X1)
    | ~ r(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1464,c_0_245]),c_0_491]),c_0_256]),c_0_395]) ).

cnf(c_0_1476,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1465,c_0_903]),c_0_1393]),c_0_944]) ).

cnf(c_0_1477,negated_conjecture,
    ( pr(X1)
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ qq(s(X1))
    | ~ qq(X1)
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1466,c_0_573]),c_0_566]),c_0_501]) ).

cnf(c_0_1478,negated_conjecture,
    ( pp(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1467,c_0_1468]) ).

cnf(c_0_1479,negated_conjecture,
    ( ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1467,c_0_903]) ).

cnf(c_0_1480,negated_conjecture,
    ( pp(X1)
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_1469,c_0_871]) ).

cnf(c_0_1481,negated_conjecture,
    ( rr(s(X1))
    | pp(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1470,c_0_307]) ).

cnf(c_0_1482,negated_conjecture,
    ( pp(s(X1))
    | ~ qq(s(X1))
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_977]),c_0_320]) ).

cnf(c_0_1483,negated_conjecture,
    ( rr(s(X1))
    | pp(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1308,c_0_465]),c_0_320]) ).

cnf(c_0_1484,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_596,c_0_450]) ).

cnf(c_0_1485,negated_conjecture,
    ( qq(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_530]),c_0_470]),c_0_349]) ).

cnf(c_0_1486,negated_conjecture,
    ( q(s(s(X1)))
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1434,c_0_823]),c_0_563]),c_0_1471]),c_0_1462]),c_0_1461]) ).

cnf(c_0_1487,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | p(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1472,c_0_1473]),c_0_871]) ).

cnf(c_0_1488,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ qq(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1474,c_0_1475]),c_0_1463]) ).

cnf(c_0_1489,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_1476,c_0_1229]) ).

cnf(c_0_1490,negated_conjecture,
    ( pr(X1)
    | pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | q(s(s(s(X1))))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ qq(s(s(X1)))
    | ~ qq(s(X1))
    | ~ aq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_238,c_0_1477]) ).

cnf(c_0_1491,negated_conjecture,
    ( ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_589,c_0_1478]) ).

cnf(c_0_1492,negated_conjecture,
    ( ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1479,c_0_273]) ).

cnf(c_0_1493,negated_conjecture,
    ( pp(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_1480]),c_0_1481]) ).

cnf(c_0_1494,negated_conjecture,
    ( rr(X1)
    | pp(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_523,c_0_1481]) ).

cnf(c_0_1495,negated_conjecture,
    ( q(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_753,c_0_823]),c_0_787]),c_0_789]) ).

cnf(c_0_1496,negated_conjecture,
    ( pp(s(X1))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1482,c_0_987]) ).

cnf(c_0_1497,negated_conjecture,
    ( rr(s(X1))
    | pp(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_1483]),c_0_320]) ).

cnf(c_0_1498,negated_conjecture,
    ( rr(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_1433]),c_0_1046]) ).

cnf(c_0_1499,negated_conjecture,
    ( pp(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_960,c_0_1484]),c_0_1485]),c_0_622]) ).

cnf(c_0_1500,negated_conjecture,
    ( q(s(s(X1)))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_721,c_0_1462]),c_0_1472]),c_0_563]),c_0_1460]),c_0_1461]),c_0_1486]) ).

cnf(c_0_1501,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | p(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1487,c_0_454]),c_0_1175]) ).

cnf(c_0_1502,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1461,c_0_1096]),c_0_1448]) ).

cnf(c_0_1503,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ qq(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1488,c_0_699]),c_0_1269]),c_0_1489]) ).

cnf(c_0_1504,negated_conjecture,
    ( pr(X1)
    | pqr3(X1)
    | pqr2(X1)
    | q(s(s(s(X1))))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ qq(s(s(X1)))
    | ~ qq(s(X1))
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_1490]),c_0_325]) ).

cnf(c_0_1505,negated_conjecture,
    ( ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1491,c_0_273]),c_0_1397]) ).

cnf(c_0_1506,negated_conjecture,
    ( p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1492,c_0_1230]) ).

cnf(c_0_1507,negated_conjecture,
    ( pp(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1493,c_0_1468]),c_0_1494]) ).

cnf(c_0_1508,negated_conjecture,
    ( q(X1)
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1495,c_0_788]) ).

cnf(c_0_1509,negated_conjecture,
    ( r(s(s(X1)))
    | pp(s(X1))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1496,c_0_1192]) ).

cnf(c_0_1510,negated_conjecture,
    ( rr(s(X1))
    | pp(s(X1))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1497,c_0_1186]),c_0_1496]) ).

cnf(c_0_1511,negated_conjecture,
    ( rr(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1498,c_0_1499]),c_0_724]) ).

cnf(c_0_1512,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1500,c_0_699]),c_0_1501]),c_0_709]),c_0_1502]),c_0_1476]) ).

cnf(c_0_1513,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1264,c_0_1473]),c_0_1503]),c_0_595]) ).

cnf(c_0_1514,negated_conjecture,
    ( pr(X1)
    | pqr2(X1)
    | q(s(s(s(X1))))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ qq(s(s(X1)))
    | ~ qq(s(X1))
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_1504]),c_0_325]) ).

cnf(c_0_1515,negated_conjecture,
    ( p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1505,c_0_1275]) ).

cnf(c_0_1516,negated_conjecture,
    ( p(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_858,c_0_1506]) ).

cnf(c_0_1517,negated_conjecture,
    ( q(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1220,c_0_1507]),c_0_1508]),c_0_357]) ).

cnf(c_0_1518,negated_conjecture,
    ( pp(s(X1))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_1480]),c_0_1509]),c_0_1510]) ).

cnf(c_0_1519,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1343,c_0_1499]),c_0_1485]),c_0_1511]) ).

cnf(c_0_1520,negated_conjecture,
    ( rr(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_753,c_0_784]),c_0_622]) ).

cnf(c_0_1521,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1512,c_0_1513]),c_0_1229]) ).

cnf(c_0_1522,negated_conjecture,
    ( pr(X1)
    | q(s(s(s(X1))))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ qq(s(X1))
    | ~ qq(X1)
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_513,c_0_1514]),c_0_515]) ).

cnf(c_0_1523,negated_conjecture,
    ( p(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_858,c_0_1515]) ).

cnf(c_0_1524,negated_conjecture,
    ( p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_1516,c_0_249]) ).

cnf(c_0_1525,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(s(X1))))
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1517,c_0_500]),c_0_281]) ).

cnf(c_0_1526,negated_conjecture,
    ( pp(s(s(X1)))
    | ~ qq(s(s(X1)))
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1518,c_0_251]) ).

cnf(c_0_1527,negated_conjecture,
    ( qq(s(s(X1)))
    | pp(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1442,c_0_801]),c_0_1519]) ).

cnf(c_0_1528,negated_conjecture,
    ( rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_1520]),c_0_322]) ).

cnf(c_0_1529,negated_conjecture,
    ( q(s(s(X1)))
    | q(X1)
    | pp(s(X1))
    | pp(X1)
    | p(s(s(X1)))
    | p(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1264,c_0_1174]),c_0_1521]) ).

cnf(c_0_1530,negated_conjecture,
    ( pr(X1)
    | q(s(s(s(X1))))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1522,c_0_251]),c_0_586]) ).

cnf(c_0_1531,negated_conjecture,
    ( p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_1523,c_0_249]) ).

cnf(c_0_1532,negated_conjecture,
    ( r(X1)
    | p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1524,c_0_245]),c_0_1424]) ).

cnf(c_0_1533,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1525,c_0_987]) ).

cnf(c_0_1534,negated_conjecture,
    ( pp(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1526,c_0_1527]),c_0_1528]) ).

cnf(c_0_1535,negated_conjecture,
    ( q(s(s(X1)))
    | q(X1)
    | pp(X1)
    | p(s(s(X1)))
    | p(X1)
    | ap(X1)
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_563,c_0_1529]) ).

cnf(c_0_1536,negated_conjecture,
    ( pr(X1)
    | q(s(s(s(X1))))
    | q(s(X1))
    | pp(s(s(X1)))
    | pp(s(X1))
    | p(s(s(s(X1))))
    | p(s(X1))
    | ~ r(s(X1))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1530,c_0_1174]) ).

cnf(c_0_1537,negated_conjecture,
    ( r(X1)
    | q(X1)
    | p(X1)
    | ~ qq(s(X1))
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_565,c_0_275]) ).

cnf(c_0_1538,negated_conjecture,
    ( aq(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1531,c_0_272]),c_0_1063]) ).

cnf(c_0_1539,negated_conjecture,
    ( q(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1257,c_0_1410]),c_0_352]) ).

cnf(c_0_1540,negated_conjecture,
    ( r(s(s(X1)))
    | p(s(X1))
    | ~ r(s(X1))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_733,c_0_454]),c_0_273]) ).

cnf(c_0_1541,negated_conjecture,
    ( p(s(s(X1)))
    | aq(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1524,c_0_272]) ).

cnf(c_0_1542,negated_conjecture,
    ( r(X1)
    | p(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1532,c_0_1475]),c_0_1424]) ).

cnf(c_0_1543,negated_conjecture,
    ( ~ rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1533,c_0_251]),c_0_1534]) ).

cnf(c_0_1544,negated_conjecture,
    ( q(s(X1))
    | pp(X1)
    | p(s(s(X1)))
    | p(X1)
    | ap(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_1535]),c_0_436]) ).

cnf(c_0_1545,negated_conjecture,
    ( pr(X1)
    | q(s(s(s(X1))))
    | q(s(X1))
    | pp(s(X1))
    | p(s(s(s(X1))))
    | p(s(X1))
    | ~ r(s(X1))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_1536]),c_0_322]) ).

cnf(c_0_1546,negated_conjecture,
    ( q(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1537,c_0_1410]),c_0_352]),c_0_656]),c_0_551]) ).

cnf(c_0_1547,negated_conjecture,
    ( rr(X1)
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_1538]),c_0_523]) ).

cnf(c_0_1548,negated_conjecture,
    ( q(X1)
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1539,c_0_1540]),c_0_1223]),c_0_724]) ).

cnf(c_0_1549,negated_conjecture,
    ( p(s(s(X1)))
    | ap(X1)
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_1541]),c_0_1542]) ).

cnf(c_0_1550,negated_conjecture,
    ( ~ r(s(s(s(X1))))
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1543,c_0_788]),c_0_1528]) ).

cnf(c_0_1551,negated_conjecture,
    ( q(s(X1))
    | pp(X1)
    | p(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1405,c_0_1544]),c_0_1420]) ).

cnf(c_0_1552,negated_conjecture,
    ( pr(X1)
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(s(X1))))
    | p(s(X1))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1262,c_0_1545]),c_0_528]),c_0_436]) ).

cnf(c_0_1553,negated_conjecture,
    ( p(X1)
    | qq(X1)
    | ~ aq(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ qq(s(X1)) ),
    c132 ).

cnf(c_0_1554,negated_conjecture,
    ( p(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ qq(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_873,c_0_1538]),c_0_1546]),c_0_1547]) ).

cnf(c_0_1555,negated_conjecture,
    ( q(s(X1))
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ pp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1548,c_0_1182]) ).

cnf(c_0_1556,negated_conjecture,
    ( p(s(s(s(X1))))
    | ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1549,c_0_801]),c_0_322]) ).

cnf(c_0_1557,negated_conjecture,
    ( qq(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1392,c_0_251]),c_0_1550]) ).

cnf(c_0_1558,negated_conjecture,
    ( q(X1)
    | pp(X1)
    | p(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1414,c_0_1386]),c_0_1551]) ).

cnf(c_0_1559,negated_conjecture,
    ( q(s(X1))
    | p(s(X1))
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1237,c_0_317]),c_0_651]) ).

cnf(c_0_1560,negated_conjecture,
    ( pr(X1)
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1290,c_0_1552]),c_0_363]) ).

cnf(c_0_1561,negated_conjecture,
    ( p(X1)
    | q(X1)
    | qq(X1)
    | ~ aq(X1)
    | ~ pp(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ qq(s(X1)) ),
    c134 ).

cnf(c_0_1562,negated_conjecture,
    ( qq(X1)
    | p(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ qq(s(X1))
    | ~ q(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[c_0_1553,c_0_431]) ).

cnf(c_0_1563,negated_conjecture,
    ( p(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1554,c_0_801]),c_0_322]) ).

cnf(c_0_1564,negated_conjecture,
    ( q(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1555,c_0_1455]) ).

cnf(c_0_1565,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1556,c_0_1557]),c_0_1519]) ).

cnf(c_0_1566,negated_conjecture,
    ( q(s(X1))
    | pp(s(X1))
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1558,c_0_580]) ).

cnf(c_0_1567,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(s(X1)))
    | ~ qq(s(X1))
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1559,c_0_831]) ).

cnf(c_0_1568,negated_conjecture,
    ( pr(X1)
    | pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | q(s(s(s(X1))))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ qq(s(s(X1)))
    | ~ ap(s(X1)) ),
    inference(spm,[status(thm)],[c_0_238,c_0_1560]) ).

cnf(c_0_1569,negated_conjecture,
    ( qq(X1)
    | p(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ qq(s(X1))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_1561,c_0_431]),c_0_1562]) ).

cnf(c_0_1570,negated_conjecture,
    ( r(s(X1))
    | p(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_613,c_0_1557]) ).

cnf(c_0_1571,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(X1))
    | ~ q(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1563,c_0_1410]),c_0_1564]),c_0_1565]) ).

cnf(c_0_1572,negated_conjecture,
    ( r(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ pp(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1358,c_0_251]) ).

cnf(c_0_1573,negated_conjecture,
    ( q(s(X1))
    | pp(s(X1))
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1566,c_0_903]) ).

cnf(c_0_1574,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(s(X1)))
    | ~ qq(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1567,c_0_1040]) ).

cnf(c_0_1575,negated_conjecture,
    ( pr(X1)
    | pqr3(X1)
    | pqr2(X1)
    | q(s(s(s(X1))))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ qq(s(s(X1)))
    | ~ ap(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_1568]),c_0_320]) ).

cnf(c_0_1576,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(s(X1))))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1569,c_0_1557]),c_0_1570]),c_0_1565]),c_0_1571]) ).

cnf(c_0_1577,negated_conjecture,
    ( r(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1572,c_0_454]),c_0_322]) ).

cnf(c_0_1578,negated_conjecture,
    ( q(s(X1))
    | pp(X1)
    | p(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1224,c_0_1573]),c_0_1178]),c_0_1463]),c_0_1255]),c_0_595]) ).

cnf(c_0_1579,negated_conjecture,
    ( p(s(s(X1)))
    | ~ qq(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_764,c_0_1574]),c_0_847]),c_0_736]) ).

cnf(c_0_1580,negated_conjecture,
    ( aq(X1)
    | ~ pqr2(X1) ),
    c019 ).

cnf(c_0_1581,negated_conjecture,
    ( pr(X1)
    | pqr2(X1)
    | q(s(s(s(X1))))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ qq(s(s(X1)))
    | ~ ap(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_1575]),c_0_320]) ).

cnf(c_0_1582,negated_conjecture,
    ( p(s(s(s(X1))))
    | ~ rr(s(X1))
    | ~ q(s(s(s(X1))))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1576,c_0_1577]) ).

cnf(c_0_1583,negated_conjecture,
    ( p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1571,c_0_1423]) ).

cnf(c_0_1584,negated_conjecture,
    ( q(s(s(X1)))
    | pp(X1)
    | p(s(s(X1)))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1578,c_0_1229]),c_0_1579]),c_0_595]) ).

cnf(c_0_1585,negated_conjecture,
    ( aq(X1)
    | ~ pqr1(X1) ),
    c012 ).

cnf(c_0_1586,negated_conjecture,
    ( pr(X1)
    | q(s(s(s(X1))))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ qq(s(s(X1)))
    | ~ ap(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1580,c_0_1581]),c_0_320]) ).

cnf(c_0_1587,negated_conjecture,
    ( p(s(s(s(X1))))
    | ~ rr(s(X1))
    | ~ q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1582,c_0_595]) ).

cnf(c_0_1588,negated_conjecture,
    ( pp(s(X1))
    | p(s(s(s(X1))))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1583,c_0_1584]),c_0_1579]) ).

cnf(c_0_1589,negated_conjecture,
    ( pr(X1)
    | q(s(s(s(X1))))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ ap(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1585,c_0_1586]),c_0_320]) ).

cnf(c_0_1590,negated_conjecture,
    ( p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1195,c_0_1587]) ).

cnf(c_0_1591,negated_conjecture,
    ( pp(s(X1))
    | p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_858,c_0_1588]) ).

cnf(c_0_1592,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1442,c_0_580]),c_0_1268]) ).

cnf(c_0_1593,negated_conjecture,
    ( pr(X1)
    | q(s(s(s(X1))))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ qq(s(X1))
    | ~ ap(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1589,c_0_903]) ).

cnf(c_0_1594,negated_conjecture,
    ( p(s(s(X1)))
    | ~ rr(X1)
    | ~ q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1590,c_0_580]) ).

cnf(c_0_1595,negated_conjecture,
    ( pp(s(X1))
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1591,c_0_580]),c_0_1592]) ).

cnf(c_0_1596,negated_conjecture,
    ( pr(X1)
    | q(s(s(s(X1))))
    | q(s(X1))
    | p(s(s(s(X1))))
    | p(s(X1))
    | ~ qq(s(X1))
    | ~ pp(s(X1))
    | ~ ap(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1183,c_0_1593]) ).

cnf(c_0_1597,negated_conjecture,
    ( ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1594,c_0_1595]),c_0_1519]) ).

cnf(c_0_1598,negated_conjecture,
    ( pr(X1)
    | r(s(X1))
    | q(s(s(s(X1))))
    | q(s(X1))
    | p(s(s(s(X1))))
    | ~ qq(s(X1))
    | ~ ap(s(X1)) ),
    inference(spm,[status(thm)],[c_0_709,c_0_1593]) ).

cnf(c_0_1599,negated_conjecture,
    ( pr(X1)
    | q(s(s(s(X1))))
    | q(s(X1))
    | p(s(s(s(X1))))
    | ~ rr(s(X1))
    | ~ qq(s(X1))
    | ~ pp(s(X1))
    | ~ ap(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1220,c_0_1593]),c_0_1596]) ).

cnf(c_0_1600,negated_conjecture,
    ( ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1597,c_0_273]) ).

cnf(c_0_1601,negated_conjecture,
    ( ~ qp(X1)
    | ~ rq(X1)
    | ~ pr(X1) ),
    c090 ).

cnf(c_0_1602,negated_conjecture,
    ( qq(X1)
    | r(X1)
    | rr(X1)
    | pr(s(X1))
    | ~ aq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1) ),
    c143 ).

cnf(c_0_1603,negated_conjecture,
    ( pr(X1)
    | q(s(s(s(X1))))
    | q(s(X1))
    | p(s(s(s(X1))))
    | ~ rr(s(X1))
    | ~ qq(s(X1))
    | ~ ap(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1224,c_0_1593]),c_0_1598]),c_0_1599]) ).

cnf(c_0_1604,negated_conjecture,
    ( p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1600,c_0_595]) ).

cnf(c_0_1605,negated_conjecture,
    ( ap(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_1557]),c_0_318]),c_0_622]) ).

cnf(c_0_1606,negated_conjecture,
    ( r(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_460,c_0_1307]) ).

cnf(c_0_1607,negated_conjecture,
    ( rr(X1)
    | r(X1)
    | qq(X1)
    | ~ rq(s(X1))
    | ~ qp(s(X1))
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(X1)
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1601,c_0_1602]) ).

cnf(c_0_1608,negated_conjecture,
    ( rpq1(X1)
    | rpq2(X1)
    | rpq3(X1)
    | rpq4(X1)
    | rq(s(X1))
    | ~ rq(X1) ),
    c267 ).

cnf(c_0_1609,negated_conjecture,
    ( ~ rpq1(X1)
    | ~ p(X1) ),
    c064 ).

cnf(c_0_1610,negated_conjecture,
    ( ~ rpq2(X1)
    | ~ q(X1) ),
    c073 ).

cnf(c_0_1611,negated_conjecture,
    ( pr(X1)
    | q(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ap(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1189,c_0_1603]),c_0_319]) ).

cnf(c_0_1612,negated_conjecture,
    ( p(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_858,c_0_1604]) ).

cnf(c_0_1613,negated_conjecture,
    ( ~ rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_1538]),c_0_320]) ).

cnf(c_0_1614,negated_conjecture,
    ( rr(s(s(X1)))
    | rr(s(X1))
    | qq(s(X1))
    | p(s(X1))
    | ~ q(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_412,c_0_255]) ).

cnf(c_0_1615,negated_conjecture,
    ( p(s(s(s(X1))))
    | ~ q(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1605,c_0_1606]),c_0_320]) ).

cnf(c_0_1616,negated_conjecture,
    ( rr(X1)
    | r(X1)
    | qq(X1)
    | ~ rq(X1)
    | ~ qp(s(X1))
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(X1)
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1607,c_0_1608]),c_0_1609]),c_0_1610]),c_0_269]),c_0_270]) ).

cnf(c_0_1617,negated_conjecture,
    ( qrp1(X1)
    | qrp2(X1)
    | qrp3(X1)
    | qrp4(X1)
    | qp(s(X1))
    | ~ qp(X1) ),
    c209 ).

cnf(c_0_1618,negated_conjecture,
    ( qq(X1)
    | ~ qrp1(X1) ),
    c035 ).

cnf(c_0_1619,negated_conjecture,
    ( qq(X1)
    | ~ qrp2(X1) ),
    c042 ).

cnf(c_0_1620,negated_conjecture,
    ( ~ qrp3(X1)
    | ~ p(X1) ),
    c052 ).

cnf(c_0_1621,negated_conjecture,
    ( ~ qrp4(X1)
    | ~ q(X1) ),
    c055 ).

cnf(c_0_1622,negated_conjecture,
    ( pr(X1)
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ap(s(X1)) ),
    inference(spm,[status(thm)],[c_0_340,c_0_1611]) ).

cnf(c_0_1623,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1612,c_0_249]),c_0_1519]) ).

cnf(c_0_1624,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | p(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1613,c_0_1614]),c_0_457]) ).

cnf(c_0_1625,negated_conjecture,
    ( p(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1615,c_0_595]),c_0_457]) ).

cnf(c_0_1626,negated_conjecture,
    ( rr(X1)
    | r(X1)
    | qq(X1)
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(X1)
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1616,c_0_1617]),c_0_1618]),c_0_1619]),c_0_1620]),c_0_1621]) ).

cnf(c_0_1627,negated_conjecture,
    ( pr(X1)
    | pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ ap(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_238,c_0_1622]) ).

cnf(c_0_1628,negated_conjecture,
    ( ~ rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1623,c_0_255]) ).

cnf(c_0_1629,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_397,c_0_255]) ).

cnf(c_0_1630,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | p(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1624,c_0_1326]),c_0_1625]) ).

cnf(c_0_1631,negated_conjecture,
    ( rpq4(X1)
    | rpq3(X1)
    | rpq2(X1)
    | rpq1(X1)
    | rr(s(X1))
    | r(s(X1))
    | qq(s(X1))
    | ~ rq(X1)
    | ~ qp(s(X1))
    | ~ q(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ aq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1626,c_0_1608]) ).

cnf(c_0_1632,negated_conjecture,
    ( ~ pqr4(X1)
    | ~ p(X1) ),
    c027 ).

cnf(c_0_1633,negated_conjecture,
    ( pr(X1)
    | pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ ar(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1627,c_0_249]) ).

cnf(c_0_1634,negated_conjecture,
    ( qq(s(X1))
    | p(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ r(s(X1))
    | ~ q(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1628,c_0_1347]) ).

cnf(c_0_1635,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1629,c_0_1630]) ).

cnf(c_0_1636,negated_conjecture,
    ( r(X1)
    | qq(s(X1))
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_609,c_0_1475]),c_0_853]) ).

cnf(c_0_1637,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_1052]),c_0_970]) ).

cnf(c_0_1638,negated_conjecture,
    ( rpq4(X1)
    | rpq3(X1)
    | rpq2(X1)
    | rpq1(X1)
    | qrp4(X1)
    | qrp3(X1)
    | qrp2(X1)
    | qrp1(X1)
    | rr(s(X1))
    | r(s(X1))
    | qq(s(X1))
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ aq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1631,c_0_1617]) ).

cnf(c_0_1639,negated_conjecture,
    ( ~ qrp1(X1)
    | ~ q(X1) ),
    c034 ).

cnf(c_0_1640,negated_conjecture,
    ( ~ rpq3(X1)
    | ~ q(X1) ),
    c080 ).

cnf(c_0_1641,negated_conjecture,
    ( ~ pqr3(X1)
    | ~ q(X1) ),
    c022 ).

cnf(c_0_1642,negated_conjecture,
    ( pr(X1)
    | pqr3(X1)
    | pqr2(X1)
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ p(X1)
    | ~ ar(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1632,c_0_1633]),c_0_263]) ).

cnf(c_0_1643,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1634,c_0_500]),c_0_1397]),c_0_281]) ).

cnf(c_0_1644,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1635,c_0_298]),c_0_622]) ).

cnf(c_0_1645,negated_conjecture,
    ( r(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1542,c_0_1636]),c_0_622]),c_0_1519]) ).

cnf(c_0_1646,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1637,c_0_300]),c_0_890]) ).

cnf(c_0_1647,negated_conjecture,
    ( ~ qrp3(X1)
    | ~ qq(X1) ),
    c049 ).

cnf(c_0_1648,negated_conjecture,
    ( rpq4(X1)
    | rpq1(X1)
    | qrp3(X1)
    | qrp2(X1)
    | rr(s(X1))
    | r(s(X1))
    | qq(s(X1))
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(X1))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1621,c_0_1638]),c_0_1639]),c_0_1610]),c_0_1640]) ).

cnf(c_0_1649,negated_conjecture,
    ( ~ rpq1(X1)
    | ~ qq(X1) ),
    c067 ).

cnf(c_0_1650,negated_conjecture,
    ( ar(X1)
    | ~ qrp3(X1) ),
    c054 ).

cnf(c_0_1651,negated_conjecture,
    ( ar(X1)
    | ~ qrp2(X1) ),
    c047 ).

cnf(c_0_1652,negated_conjecture,
    ( pr(X1)
    | pqr3(X1)
    | pqr2(X1)
    | rr(s(s(X1)))
    | pp(s(s(X1)))
    | p(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1632,c_0_1407]),c_0_263]) ).

cnf(c_0_1653,negated_conjecture,
    ( pp(X1)
    | ~ pqr2(X1) ),
    c014 ).

cnf(c_0_1654,negated_conjecture,
    ( pr(X1)
    | pqr2(X1)
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ q(X1)
    | ~ p(X1)
    | ~ ar(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1641,c_0_1642]) ).

cnf(c_0_1655,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1643,c_0_987]),c_0_457]) ).

cnf(c_0_1656,negated_conjecture,
    ( aq(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1623,c_0_272]) ).

cnf(c_0_1657,negated_conjecture,
    ( rr(X1)
    | qq(s(X1))
    | p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_606,c_0_337]) ).

cnf(c_0_1658,negated_conjecture,
    ( qq(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_839,c_0_1644]),c_0_683]),c_0_470]),c_0_1645]) ).

cnf(c_0_1659,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | q(X1)
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_337]),c_0_718]) ).

cnf(c_0_1660,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ pp(s(X1))
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_721,c_0_1062]),c_0_978]),c_0_1646]),c_0_1343]) ).

cnf(c_0_1661,negated_conjecture,
    ( r(X1)
    | ~ qrp2(X1) ),
    c043 ).

cnf(c_0_1662,negated_conjecture,
    ( rpq4(X1)
    | qrp2(X1)
    | rr(s(X1))
    | r(s(X1))
    | qq(s(X1))
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1647,c_0_1648]),c_0_1649]) ).

cnf(c_0_1663,negated_conjecture,
    ( p(X1)
    | ~ rpq4(X1) ),
    c085 ).

cnf(c_0_1664,negated_conjecture,
    ( rpq4(X1)
    | rpq1(X1)
    | rr(s(X1))
    | r(s(X1))
    | qq(s(X1))
    | ar(X1)
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(X1))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1650,c_0_1648]),c_0_1651]) ).

cnf(c_0_1665,negated_conjecture,
    ( pr(X1)
    | pqr2(X1)
    | rr(s(s(X1)))
    | pp(s(s(X1)))
    | p(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ q(X1)
    | ~ p(s(s(s(X1))))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_1641,c_0_1652]) ).

cnf(c_0_1666,negated_conjecture,
    ( pr(X1)
    | q(s(s(s(X1))))
    | pp(X1)
    | p(s(s(s(X1))))
    | ~ rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ q(X1)
    | ~ p(X1)
    | ~ ar(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1653,c_0_1654]) ).

cnf(c_0_1667,negated_conjecture,
    ( qq(s(X1))
    | ap(X1)
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1655,c_0_1656]) ).

cnf(c_0_1668,negated_conjecture,
    ( rr(X1)
    | qq(s(X1))
    | p(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(s(s(X1)))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1657,c_0_1303]),c_0_1519]) ).

cnf(c_0_1669,negated_conjecture,
    ( qq(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_769,c_0_1658]),c_0_1645]) ).

cnf(c_0_1670,negated_conjecture,
    ( rr(X1)
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1659,c_0_1062]),c_0_995]),c_0_1646]),c_0_1660]) ).

cnf(c_0_1671,negated_conjecture,
    ( ap(X1)
    | ~ rpq4(X1) ),
    c089 ).

cnf(c_0_1672,negated_conjecture,
    ( rpq4(X1)
    | rr(s(X1))
    | r(s(X1))
    | qq(s(X1))
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ qq(X1)
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1661,c_0_1662]),c_0_1096]),c_0_1098]) ).

cnf(c_0_1673,negated_conjecture,
    ( rr(X1)
    | ~ rpq1(X1) ),
    c063 ).

cnf(c_0_1674,negated_conjecture,
    ( rpq1(X1)
    | rr(s(X1))
    | qq(s(X1))
    | p(X1)
    | ar(X1)
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1663,c_0_1664]),c_0_308]),c_0_420]) ).

cnf(c_0_1675,negated_conjecture,
    ( pr(X1)
    | rr(s(s(X1)))
    | pp(s(s(X1)))
    | pp(X1)
    | p(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ q(X1)
    | ~ p(s(s(s(X1))))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_1653,c_0_1665]) ).

cnf(c_0_1676,negated_conjecture,
    ( pr(X1)
    | r(s(X1))
    | q(s(s(s(X1))))
    | pp(X1)
    | p(s(s(s(X1))))
    | ~ rr(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ qq(s(s(X1)))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1666,c_0_245]),c_0_509]) ).

cnf(c_0_1677,negated_conjecture,
    ( r(s(X1))
    | p(X1)
    | ~ r(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_968,c_0_410]) ).

cnf(c_0_1678,negated_conjecture,
    ( qq(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(s(s(X1)))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1667,c_0_283]),c_0_1668]),c_0_1669]),c_0_1410]) ).

cnf(c_0_1679,negated_conjecture,
    ( rr(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1670,c_0_454]) ).

cnf(c_0_1680,negated_conjecture,
    ( q(s(s(X1)))
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_935,c_0_761]),c_0_936]) ).

cnf(c_0_1681,negated_conjecture,
    ( ~ r(s(X1))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_994,c_0_521]),c_0_470]),c_0_360]) ).

cnf(c_0_1682,negated_conjecture,
    ( rr(s(X1))
    | r(s(X1))
    | qq(s(X1))
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ qq(X1)
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1671,c_0_1672]),c_0_903]) ).

cnf(c_0_1683,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | p(X1)
    | ar(X1)
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1673,c_0_1674]),c_0_258]) ).

cnf(c_0_1684,negated_conjecture,
    ( pr(X1)
    | pp(s(s(X1)))
    | pp(X1)
    | p(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ q(X1)
    | ~ p(s(s(s(X1))))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_1675]),c_0_390]) ).

cnf(c_0_1685,negated_conjecture,
    ( pr(X1)
    | r(s(X1))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ r(s(s(X1)))
    | ~ qq(s(s(X1)))
    | ~ q(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1676,c_0_1475]),c_0_1677]),c_0_789]) ).

cnf(c_0_1686,negated_conjecture,
    ( qq(X1)
    | p(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1569,c_0_1678]),c_0_1597]) ).

cnf(c_0_1687,negated_conjecture,
    ( p(s(X1))
    | ~ rr(X1)
    | ~ q(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1523,c_0_317]),c_0_651]) ).

cnf(c_0_1688,negated_conjecture,
    ( q(s(s(X1)))
    | ap(X1)
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1679,c_0_761]),c_0_1680]) ).

cnf(c_0_1689,negated_conjecture,
    ( rr(X1)
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1681,c_0_999]),c_0_470]),c_0_360]) ).

cnf(c_0_1690,negated_conjecture,
    ( rpq1(X1)
    | rr(s(X1))
    | r(s(X1))
    | qq(s(X1))
    | ar(X1)
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(X1))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_1664]),c_0_1682]) ).

cnf(c_0_1691,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | p(X1)
    | ar(X1)
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1683,c_0_251]),c_0_260]) ).

cnf(c_0_1692,negated_conjecture,
    ( pr(X1)
    | pp(X1)
    | p(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ q(X1)
    | ~ p(s(s(s(X1))))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_1684]),c_0_390]) ).

cnf(c_0_1693,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | ~ r(s(X1))
    | ~ q(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_456,c_0_245]) ).

cnf(c_0_1694,negated_conjecture,
    ( pr(X1)
    | r(s(X1))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1685,c_0_1075]),c_0_410]) ).

cnf(c_0_1695,negated_conjecture,
    ( rr(X1)
    | ~ pqr3(X1) ),
    c025 ).

cnf(c_0_1696,negated_conjecture,
    ( qq(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1686,c_0_1540]),c_0_1397]),c_0_1687]),c_0_890]) ).

cnf(c_0_1697,negated_conjecture,
    ( q(X1)
    | ap(X1)
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1034,c_0_1688]),c_0_988]) ).

cnf(c_0_1698,negated_conjecture,
    ( rr(X1)
    | ap(X1)
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1689,c_0_1688]) ).

cnf(c_0_1699,negated_conjecture,
    ( ~ r(s(s(s(X1))))
    | ~ r(s(s(X1)))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_975,c_0_251]) ).

cnf(c_0_1700,negated_conjecture,
    ( rr(s(X1))
    | r(s(X1))
    | qq(s(X1))
    | ar(X1)
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(X1))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1609,c_0_1690]),c_0_1691]) ).

cnf(c_0_1701,negated_conjecture,
    ( pr(X1)
    | pp(X1)
    | p(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ p(s(s(s(X1))))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_1692,c_0_562]) ).

cnf(c_0_1702,negated_conjecture,
    ( pr(X1)
    | r(s(X1))
    | q(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ r(s(s(X1)))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1693,c_0_1694]),c_0_528]) ).

cnf(c_0_1703,negated_conjecture,
    ( pr(X1)
    | pqr2(X1)
    | rr(X1)
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ p(X1)
    | ~ ar(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1695,c_0_1642]) ).

cnf(c_0_1704,negated_conjecture,
    ( qq(X1)
    | ap(X1)
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1696,c_0_1688]),c_0_1697]),c_0_1698]) ).

cnf(c_0_1705,negated_conjecture,
    ( qq(X1)
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1696,c_0_595]),c_0_1448]) ).

cnf(c_0_1706,negated_conjecture,
    ( ~ r(s(s(s(X1))))
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1699,c_0_454]),c_0_322]) ).

cnf(c_0_1707,negated_conjecture,
    ( rr(s(X1))
    | r(s(X1))
    | qq(s(X1))
    | ar(X1)
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ qq(s(s(X1)))
    | ~ q(s(X1))
    | ~ q(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1700,c_0_431]),c_0_574]) ).

cnf(c_0_1708,negated_conjecture,
    ( p(s(X1))
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_454]),c_0_340]) ).

cnf(c_0_1709,negated_conjecture,
    ( pr(X1)
    | r(s(X1))
    | q(s(s(X1)))
    | pp(X1)
    | p(s(s(X1)))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1701,c_0_1702]),c_0_471]),c_0_680]) ).

cnf(c_0_1710,negated_conjecture,
    ( pr(X1)
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ qq(X1)
    | ~ p(X1)
    | ~ ar(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1408,c_0_1642]),c_0_513]) ).

cnf(c_0_1711,negated_conjecture,
    ( pr(X1)
    | rr(X1)
    | q(s(s(s(X1))))
    | pp(X1)
    | p(s(s(s(X1))))
    | ~ rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ p(X1)
    | ~ ar(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1653,c_0_1703]) ).

cnf(c_0_1712,negated_conjecture,
    ( qq(X1)
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ pp(X1) ),
    inference(spm,[status(thm)],[c_0_1704,c_0_1705]) ).

cnf(c_0_1713,negated_conjecture,
    ( q(s(s(s(X1))))
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1706,c_0_761]) ).

cnf(c_0_1714,negated_conjecture,
    ( r(s(X1))
    | q(s(s(X1)))
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1707,c_0_1096]),c_0_669]),c_0_352]),c_0_336]),c_0_659]),c_0_1087]) ).

cnf(c_0_1715,negated_conjecture,
    ( pr(X1)
    | pqr2(X1)
    | rr(s(s(X1)))
    | rr(X1)
    | pp(s(s(X1)))
    | p(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_1695,c_0_1652]) ).

cnf(c_0_1716,negated_conjecture,
    ( pr(X1)
    | r(s(X1))
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ q(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1708,c_0_1702]),c_0_680]) ).

cnf(c_0_1717,negated_conjecture,
    ( pr(X1)
    | pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | pp(s(X1))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_238,c_0_1709]) ).

cnf(c_0_1718,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_488,c_0_680]) ).

cnf(c_0_1719,negated_conjecture,
    ( pr(X1)
    | r(s(X1))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ rr(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ qq(s(s(X1)))
    | ~ qq(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1710,c_0_245]),c_0_509]) ).

cnf(c_0_1720,negated_conjecture,
    ( pr(X1)
    | rr(X1)
    | r(s(X1))
    | q(s(s(s(X1))))
    | pp(X1)
    | p(s(s(s(X1))))
    | ~ rr(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ qq(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1711,c_0_245]),c_0_509]) ).

cnf(c_0_1721,negated_conjecture,
    ( qq(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_510,c_0_1705]) ).

cnf(c_0_1722,negated_conjecture,
    ( qq(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_322,c_0_1712]) ).

cnf(c_0_1723,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_1441]),c_0_457]) ).

cnf(c_0_1724,negated_conjecture,
    ( q(s(X1))
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1034,c_0_1713]),c_0_988]) ).

cnf(c_0_1725,negated_conjecture,
    ( r(s(X1))
    | q(X1)
    | ~ q(s(X1))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_1216]),c_0_724]) ).

cnf(c_0_1726,negated_conjecture,
    ( rpq4(X1)
    | rpq3(X1)
    | rpq2(X1)
    | rpq1(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | ~ rq(X1)
    | ~ qp(s(X1))
    | ~ q(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1714,c_0_1608]) ).

cnf(c_0_1727,negated_conjecture,
    ( pr(X1)
    | rr(s(s(X1)))
    | rr(X1)
    | q(X1)
    | pp(s(s(X1)))
    | p(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_264,c_0_1715]) ).

cnf(c_0_1728,negated_conjecture,
    ( pr(X1)
    | pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ q(s(X1))
    | ~ pp(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_238,c_0_1716]) ).

cnf(c_0_1729,negated_conjecture,
    ( pr(X1)
    | pqr3(X1)
    | pqr2(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | pp(s(X1))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_1717]),c_0_1718]) ).

cnf(c_0_1730,negated_conjecture,
    ( pr(X1)
    | r(s(X1))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ r(s(s(X1)))
    | ~ qq(s(s(X1)))
    | ~ qq(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1719,c_0_1475]),c_0_1677]) ).

cnf(c_0_1731,negated_conjecture,
    ( pr(X1)
    | r(s(X1))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ r(s(s(X1)))
    | ~ qq(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1720,c_0_1475]),c_0_1677]),c_0_789]),c_0_905]) ).

cnf(c_0_1732,negated_conjecture,
    ( qq(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1721,c_0_1538]),c_0_1722]) ).

cnf(c_0_1733,negated_conjecture,
    ( rr(s(X1))
    | qq(X1)
    | ~ rr(X1)
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_387,c_0_431]) ).

cnf(c_0_1734,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | ap(X1)
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1723,c_0_1296]),c_0_470]) ).

cnf(c_0_1735,negated_conjecture,
    ( q(s(X1))
    | ~ rr(s(X1))
    | ~ q(s(s(X1)))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1724,c_0_1587]),c_0_470]),c_0_1725]) ).

cnf(c_0_1736,negated_conjecture,
    ( pp(X1)
    | ~ qrp4(X1) ),
    c060 ).

cnf(c_0_1737,negated_conjecture,
    ( rpq4(X1)
    | rpq3(X1)
    | rpq2(X1)
    | rpq1(X1)
    | qrp4(X1)
    | qrp3(X1)
    | qrp2(X1)
    | qrp1(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1726,c_0_1617]) ).

cnf(c_0_1738,negated_conjecture,
    ( pp(X1)
    | ~ qrp3(X1) ),
    c053 ).

cnf(c_0_1739,negated_conjecture,
    ( pr(X1)
    | rr(X1)
    | q(X1)
    | pp(s(s(X1)))
    | p(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_1727]),c_0_390]) ).

cnf(c_0_1740,negated_conjecture,
    ( pr(X1)
    | pqr3(X1)
    | pqr2(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ q(s(X1))
    | ~ pp(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_1728]),c_0_1718]) ).

cnf(c_0_1741,negated_conjecture,
    ( ~ pqr1(X1)
    | ~ q(X1) ),
    c008 ).

cnf(c_0_1742,negated_conjecture,
    ( pr(X1)
    | pqr2(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | pp(s(X1))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_1729]),c_0_1718]) ).

cnf(c_0_1743,negated_conjecture,
    ( pr(X1)
    | r(s(X1))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1730,c_0_1075]),c_0_410]) ).

cnf(c_0_1744,negated_conjecture,
    ( pr(X1)
    | r(s(X1))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ r(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1731,c_0_1075]),c_0_410]) ).

cnf(c_0_1745,negated_conjecture,
    ( qq(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ pp(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1732,c_0_1396]),c_0_683]),c_0_1397]) ).

cnf(c_0_1746,negated_conjecture,
    ( qq(X1)
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1549,c_0_1733]),c_0_586]) ).

cnf(c_0_1747,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1734,c_0_1396]),c_0_622]),c_0_1468]) ).

cnf(c_0_1748,negated_conjecture,
    ( q(s(X1))
    | ~ rr(X1)
    | ~ q(s(s(X1)))
    | ~ pp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1735,c_0_1430]) ).

cnf(c_0_1749,negated_conjecture,
    ( ~ qrp2(X1)
    | ~ p(X1) ),
    c045 ).

cnf(c_0_1750,negated_conjecture,
    ( rpq4(X1)
    | rpq3(X1)
    | rpq2(X1)
    | rpq1(X1)
    | qrp2(X1)
    | qrp1(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | pp(X1)
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1736,c_0_1737]),c_0_1738]) ).

cnf(c_0_1751,negated_conjecture,
    ( pr(X1)
    | rr(X1)
    | q(X1)
    | p(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_1739]),c_0_390]) ).

cnf(c_0_1752,negated_conjecture,
    ( pr(X1)
    | pqr2(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ q(X1)
    | ~ pp(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1641,c_0_1740]),c_0_1741]) ).

cnf(c_0_1753,negated_conjecture,
    ( pr(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | pp(s(X1))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1580,c_0_1742]),c_0_1718]) ).

cnf(c_0_1754,negated_conjecture,
    ( pr(X1)
    | r(s(X1))
    | q(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ r(s(s(X1)))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1693,c_0_1743]),c_0_528]) ).

cnf(c_0_1755,negated_conjecture,
    ( pr(X1)
    | r(s(X1))
    | q(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ r(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1693,c_0_1744]),c_0_528]) ).

cnf(c_0_1756,negated_conjecture,
    ( qq(X1)
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1696,c_0_871]),c_0_1441]) ).

cnf(c_0_1757,negated_conjecture,
    ( qq(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(s(X1))
    | ~ pp(s(X1))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_769,c_0_1745]) ).

cnf(c_0_1758,negated_conjecture,
    ( qq(X1)
    | pp(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1746,c_0_1747]),c_0_1519]) ).

cnf(c_0_1759,negated_conjecture,
    ( q(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1748,c_0_1455]) ).

cnf(c_0_1760,negated_conjecture,
    ( rpq4(X1)
    | rpq2(X1)
    | qrp1(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | pp(X1)
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1749,c_0_1750]),c_0_1609]),c_0_355]) ).

cnf(c_0_1761,negated_conjecture,
    ( pr(X1)
    | rr(X1)
    | q(X1)
    | p(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_1751,c_0_562]) ).

cnf(c_0_1762,negated_conjecture,
    ( pr(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ pp(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1580,c_0_1752]),c_0_275]),c_0_1718]) ).

cnf(c_0_1763,negated_conjecture,
    ( pr(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | pp(s(X1))
    | p(s(s(s(X1))))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1585,c_0_1753]),c_0_1718]) ).

cnf(c_0_1764,negated_conjecture,
    ( pr(X1)
    | r(s(X1))
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_1466,c_0_1754]) ).

cnf(c_0_1765,negated_conjecture,
    ( pr(X1)
    | r(s(X1))
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ pp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1708,c_0_1755]) ).

cnf(c_0_1766,negated_conjecture,
    ( qq(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_1756]),c_0_1667]) ).

cnf(c_0_1767,negated_conjecture,
    ( qq(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1757,c_0_1758]),c_0_289]),c_0_1759]),c_0_1645]) ).

cnf(c_0_1768,negated_conjecture,
    ( rpq4(X1)
    | rpq1(X1)
    | qrp3(X1)
    | qrp2(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(s(X1)))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1621,c_0_1737]),c_0_1639]),c_0_1610]),c_0_1640]) ).

cnf(c_0_1769,negated_conjecture,
    ( rpq4(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | pp(X1)
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1639,c_0_1760]),c_0_1610]) ).

cnf(c_0_1770,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_596,c_0_813]),c_0_349]) ).

cnf(c_0_1771,negated_conjecture,
    ( pr(X1)
    | rr(X1)
    | r(s(X1))
    | q(s(s(X1)))
    | q(X1)
    | p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1761,c_0_1755]),c_0_471]),c_0_746]) ).

cnf(c_0_1772,negated_conjecture,
    ( pr(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1762,c_0_454]),c_0_1763]),c_0_707]) ).

cnf(c_0_1773,negated_conjecture,
    ( pr(X1)
    | pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ r(s(s(s(X1))))
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_238,c_0_1764]) ).

cnf(c_0_1774,negated_conjecture,
    ( pr(X1)
    | pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ r(s(s(s(X1))))
    | ~ pp(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_238,c_0_1765]) ).

cnf(c_0_1775,negated_conjecture,
    ( qq(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1766,c_0_283]),c_0_675]),c_0_1759]),c_0_1767]),c_0_1410]) ).

cnf(c_0_1776,negated_conjecture,
    ( r(s(s(X1)))
    | p(s(s(X1)))
    | ~ r(s(X1))
    | ~ pp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1358,c_0_288]) ).

cnf(c_0_1777,negated_conjecture,
    ( ~ rpq4(X1)
    | ~ pp(X1) ),
    c086 ).

cnf(c_0_1778,negated_conjecture,
    ( rpq4(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1620,c_0_1768]),c_0_1749]),c_0_1609]) ).

cnf(c_0_1779,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(s(X1))))
    | pp(X1)
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1671,c_0_1769]),c_0_1014]) ).

cnf(c_0_1780,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1770,c_0_1011]),c_0_1012]),c_0_470]),c_0_349]) ).

cnf(c_0_1781,negated_conjecture,
    ( pr(X1)
    | pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | rr(s(X1))
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | pqr1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_1771]),c_0_1772]) ).

cnf(c_0_1782,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_488,c_0_746]) ).

cnf(c_0_1783,negated_conjecture,
    ( pr(X1)
    | pqr3(X1)
    | pqr2(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ r(s(s(s(X1))))
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_1773]),c_0_488]) ).

cnf(c_0_1784,negated_conjecture,
    ( pr(X1)
    | pqr3(X1)
    | pqr2(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ r(s(s(s(X1))))
    | ~ pp(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_1774]),c_0_488]) ).

cnf(c_0_1785,negated_conjecture,
    ( qq(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(s(s(X1)))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1569,c_0_1775]),c_0_1767]) ).

cnf(c_0_1786,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(X1))
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1038,c_0_1134]),c_0_317]),c_0_595]),c_0_871]) ).

cnf(c_0_1787,negated_conjecture,
    ( r(s(s(X1)))
    | p(s(s(X1)))
    | ~ r(s(X1))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1776,c_0_454]),c_0_273]) ).

cnf(c_0_1788,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | p(s(s(X1)))
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_742,c_0_1299]),c_0_248]),c_0_736]),c_0_407]),c_0_1193]) ).

cnf(c_0_1789,negated_conjecture,
    ( rr(X1)
    | r(X1)
    | qq(X1)
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1124,c_0_626]),c_0_341]) ).

cnf(c_0_1790,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(s(X1))))
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1777,c_0_1778]),c_0_1779]) ).

cnf(c_0_1791,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1780,c_0_530]),c_0_470]),c_0_349]) ).

cnf(c_0_1792,negated_conjecture,
    ( qq(X1)
    | r(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ q(X1)
    | ~ rr(X1)
    | ~ qq(s(X1)) ),
    c128 ).

cnf(c_0_1793,negated_conjecture,
    ( pr(X1)
    | pqr3(X1)
    | pqr2(X1)
    | rr(s(X1))
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | pqr1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_1781]),c_0_1782]) ).

cnf(c_0_1794,negated_conjecture,
    ( pr(X1)
    | pqr2(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ r(s(s(s(X1))))
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_1783]),c_0_488]) ).

cnf(c_0_1795,negated_conjecture,
    ( pr(X1)
    | q(s(s(s(X1))))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ qq(s(s(X1)))
    | ~ qq(s(X1))
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1580,c_0_1514]),c_0_325]) ).

cnf(c_0_1796,negated_conjecture,
    ( pr(X1)
    | pqr2(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ r(s(s(s(X1))))
    | ~ pp(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_1784]),c_0_488]) ).

cnf(c_0_1797,negated_conjecture,
    ( qq(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1319,c_0_1775]),c_0_1759]),c_0_1767]),c_0_1785]) ).

cnf(c_0_1798,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | pp(X1)
    | p(s(X1))
    | ap(X1) ),
    inference(spm,[status(thm)],[c_0_563,c_0_1786]) ).

cnf(c_0_1799,negated_conjecture,
    ( qq(X1)
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ q(s(s(X1)))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1785,c_0_1787]),c_0_1788]) ).

cnf(c_0_1800,negated_conjecture,
    ( rr(s(X1))
    | qq(X1)
    | p(X1)
    | ~ r(X1)
    | ~ q(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_1297]),c_0_340]),c_0_373]) ).

cnf(c_0_1801,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ p(X1)
    | ~ ap(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1789,c_0_1790]),c_0_683]),c_0_291]),c_0_853]),c_0_1791]) ).

cnf(c_0_1802,negated_conjecture,
    ( r(X1)
    | p(X1)
    | pp(X1)
    | qq(X1)
    | rq(s(X1))
    | ~ ap(X1)
    | ~ rr(X1)
    | ~ q(X1) ),
    c253 ).

cnf(c_0_1803,negated_conjecture,
    ( rr(X1)
    | q(s(X1))
    | ~ rr(s(X1))
    | ~ q(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_456,c_0_337]) ).

cnf(c_0_1804,negated_conjecture,
    ( pqr1(X1)
    | pqr2(X1)
    | pqr3(X1)
    | pqr4(X1)
    | pr(s(X1))
    | ~ pr(X1) ),
    c151 ).

cnf(c_0_1805,negated_conjecture,
    ( q(X1)
    | qq(X1)
    | r(X1)
    | ~ aq(X1)
    | ~ p(X1)
    | ~ pp(X1)
    | ~ rr(X1)
    | ~ qq(s(X1)) ),
    c130 ).

cnf(c_0_1806,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | ~ rr(X1)
    | ~ qq(s(X1))
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[c_0_1792,c_0_431]) ).

cnf(c_0_1807,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | qq(s(X1))
    | qq(X1)
    | ~ r(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_664,c_0_406]),c_0_407]) ).

cnf(c_0_1808,negated_conjecture,
    ( r(s(X1))
    | pp(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_400]),c_0_392]) ).

cnf(c_0_1809,negated_conjecture,
    ( pr(X1)
    | pqr2(X1)
    | rr(s(X1))
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | pqr1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_1793]),c_0_1782]) ).

cnf(c_0_1810,negated_conjecture,
    ( pr(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ r(s(s(s(X1))))
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1580,c_0_1794]),c_0_488]) ).

cnf(c_0_1811,negated_conjecture,
    ( pr(X1)
    | q(s(s(s(X1))))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ qq(s(X1))
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1585,c_0_1795]),c_0_325]) ).

cnf(c_0_1812,negated_conjecture,
    ( pr(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ r(s(s(s(X1))))
    | ~ pp(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1580,c_0_1796]),c_0_488]) ).

cnf(c_0_1813,negated_conjecture,
    ( qq(X1)
    | pp(X1)
    | p(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ q(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1797,c_0_1330]),c_0_330]) ).

cnf(c_0_1814,negated_conjecture,
    ( q(s(s(X1)))
    | pp(X1)
    | p(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_847,c_0_1798]),c_0_340]) ).

cnf(c_0_1815,negated_conjecture,
    ( qq(X1)
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ q(s(X1))
    | ~ pp(X1) ),
    inference(spm,[status(thm)],[c_0_1799,c_0_595]) ).

cnf(c_0_1816,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | p(X1)
    | ~ r(X1)
    | ~ q(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_1800]),c_0_449]),c_0_330]) ).

cnf(c_0_1817,negated_conjecture,
    ( rr(s(s(X1)))
    | qq(s(s(X1)))
    | p(X1)
    | ~ qp(s(X1))
    | ~ q(s(s(s(X1))))
    | ~ q(X1)
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ ap(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1801,c_0_1802]),c_0_260]),c_0_341]),c_0_324]),c_0_529]),c_0_285]) ).

cnf(c_0_1818,negated_conjecture,
    ( p(X1)
    | ~ qrp1(X1) ),
    c038 ).

cnf(c_0_1819,negated_conjecture,
    ( p(X1)
    | ~ qrp4(X1) ),
    c059 ).

cnf(c_0_1820,negated_conjecture,
    ( rr(X1)
    | q(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1803,c_0_666]) ).

cnf(c_0_1821,negated_conjecture,
    ( pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | pqr1(X1)
    | ~ pr(X1)
    | ~ rq(s(X1))
    | ~ qp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1601,c_0_1804]) ).

cnf(c_0_1822,negated_conjecture,
    ( pp(X1)
    | q(X1)
    | qq(X1)
    | rq(s(X1))
    | ~ ap(X1)
    | ~ r(X1)
    | ~ rr(X1)
    | ~ p(X1) ),
    c259 ).

cnf(c_0_1823,negated_conjecture,
    ( ~ pqr4(X1)
    | ~ pp(X1) ),
    c028 ).

cnf(c_0_1824,negated_conjecture,
    ( ~ pqr3(X1)
    | ~ pp(X1) ),
    c021 ).

cnf(c_0_1825,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | ~ rr(X1)
    | ~ qq(s(X1))
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_1805,c_0_431]),c_0_1806]) ).

cnf(c_0_1826,negated_conjecture,
    ( r(s(X1))
    | qq(s(X1))
    | qq(X1)
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_728,c_0_895]),c_0_1807]),c_0_392]) ).

cnf(c_0_1827,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | pp(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_676,c_0_406]),c_0_1808]),c_0_407]) ).

cnf(c_0_1828,negated_conjecture,
    ( pr(X1)
    | rr(s(X1))
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | pqr1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1580,c_0_1809]),c_0_1782]) ).

cnf(c_0_1829,negated_conjecture,
    ( pr(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1585,c_0_1810]),c_0_488]) ).

cnf(c_0_1830,negated_conjecture,
    ( pr(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1811,c_0_1036]),c_0_707]),c_0_659]) ).

cnf(c_0_1831,negated_conjecture,
    ( pr(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ r(s(s(s(X1))))
    | ~ pp(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1585,c_0_1812]),c_0_488]) ).

cnf(c_0_1832,negated_conjecture,
    ( qq(X1)
    | pp(X1)
    | p(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1813,c_0_1814]),c_0_858]) ).

cnf(c_0_1833,negated_conjecture,
    ( qq(X1)
    | p(s(s(X1)))
    | p(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1813,c_0_595]),c_0_1815]) ).

cnf(c_0_1834,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | p(s(X1))
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1816,c_0_1630]),c_0_457]) ).

cnf(c_0_1835,negated_conjecture,
    ( rpq4(X1)
    | rpq3(X1)
    | rpq2(X1)
    | rpq1(X1)
    | rr(s(s(X1)))
    | qq(s(s(X1)))
    | ~ rq(X1)
    | ~ qp(s(X1))
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ ap(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1801,c_0_1608]) ).

cnf(c_0_1836,negated_conjecture,
    ( qrp3(X1)
    | qrp2(X1)
    | rr(s(s(X1)))
    | qq(s(s(X1)))
    | p(X1)
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ q(X1)
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ ap(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1817,c_0_1617]),c_0_1818]),c_0_1819]) ).

cnf(c_0_1837,negated_conjecture,
    ( q(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_674,c_0_1455]),c_0_1820]) ).

cnf(c_0_1838,negated_conjecture,
    ( qq(X1)
    | q(X1)
    | pp(X1)
    | ~ pr(X1)
    | ~ qp(s(X1))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1821,c_0_1822]),c_0_263]),c_0_264]),c_0_265]),c_0_266]) ).

cnf(c_0_1839,negated_conjecture,
    ( q(X1)
    | ~ qrp3(X1) ),
    c048 ).

cnf(c_0_1840,negated_conjecture,
    ( pr(X1)
    | pqr2(X1)
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | pqr1(X1)
    | ~ rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ pp(X1)
    | ~ ar(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1823,c_0_1633]),c_0_1824]) ).

cnf(c_0_1841,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1825,c_0_1826]),c_0_1827]),c_0_407]) ).

cnf(c_0_1842,negated_conjecture,
    ( pr(X1)
    | rr(s(X1))
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1585,c_0_1828]),c_0_1782]) ).

cnf(c_0_1843,negated_conjecture,
    ( pr(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1829,c_0_458]),c_0_940]) ).

cnf(c_0_1844,negated_conjecture,
    ( pr(X1)
    | r(s(s(s(X1))))
    | q(s(s(s(X1))))
    | pp(s(s(X1)))
    | p(s(s(s(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1830,c_0_705]),c_0_743]),c_0_509]) ).

cnf(c_0_1845,negated_conjecture,
    ( pr(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ r(s(s(s(X1))))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1831,c_0_454]),c_0_707]) ).

cnf(c_0_1846,negated_conjecture,
    ( qq(X1)
    | pp(X1)
    | p(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1832,c_0_1833]) ).

cnf(c_0_1847,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | q(X1)
    | ~ r(s(X1))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1834,c_0_275]),c_0_352]),c_0_724]) ).

cnf(c_0_1848,negated_conjecture,
    ( p(s(X1))
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1516,c_0_317]),c_0_651]) ).

cnf(c_0_1849,negated_conjecture,
    ( r(s(s(X1)))
    | p(s(s(X1)))
    | ap(X1)
    | ~ rr(s(X1))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_1198,c_0_813]) ).

cnf(c_0_1850,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | p(s(s(X1)))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1358,c_0_1114]),c_0_1298]) ).

cnf(c_0_1851,negated_conjecture,
    ( rpq4(X1)
    | rpq3(X1)
    | rpq2(X1)
    | rpq1(X1)
    | qrp4(X1)
    | qrp3(X1)
    | qrp2(X1)
    | qrp1(X1)
    | rr(s(s(X1)))
    | qq(s(s(X1)))
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ ap(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1835,c_0_1617]) ).

cnf(c_0_1852,negated_conjecture,
    ( qrp3(X1)
    | qrp2(X1)
    | rr(s(s(X1)))
    | qq(s(s(X1)))
    | p(X1)
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ q(X1)
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ ar(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1836,c_0_249]) ).

cnf(c_0_1853,negated_conjecture,
    ( ap(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(s(X1))))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1605,c_0_307]),c_0_1837]),c_0_470]) ).

cnf(c_0_1854,negated_conjecture,
    ( p(s(X1))
    | ~ rr(X1)
    | ~ q(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1612,c_0_317]),c_0_651]) ).

cnf(c_0_1855,negated_conjecture,
    ( qq(X1)
    | q(X1)
    | pp(X1)
    | ~ pr(X1)
    | ~ qp(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1838,c_0_1617]),c_0_1618]),c_0_1619]),c_0_1839]),c_0_1736]) ).

cnf(c_0_1856,negated_conjecture,
    ( r(X1)
    | ~ pqr1(X1) ),
    c010 ).

cnf(c_0_1857,negated_conjecture,
    ( pr(X1)
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | p(X1)
    | pqr1(X1)
    | ~ rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ pp(X1)
    | ~ ar(s(X1)) ),
    inference(spm,[status(thm)],[c_0_421,c_0_1840]) ).

cnf(c_0_1858,negated_conjecture,
    ( pr(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ r(s(s(s(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1831,c_0_1841]),c_0_471]),c_0_1842]),c_0_1843]) ).

cnf(c_0_1859,negated_conjecture,
    ( pr(X1)
    | r(s(s(s(X1))))
    | q(s(s(s(X1))))
    | pp(s(X1))
    | p(s(s(s(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_1844]),c_0_679]) ).

cnf(c_0_1860,negated_conjecture,
    ( pr(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1845,c_0_458]),c_0_459]) ).

cnf(c_0_1861,negated_conjecture,
    ( qq(s(X1))
    | q(X1)
    | pp(s(X1))
    | p(s(X1))
    | ~ r(s(X1))
    | ~ q(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1846,c_0_1847]),c_0_560]) ).

cnf(c_0_1862,negated_conjecture,
    ( p(s(s(X1)))
    | ~ qq(s(X1))
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1848,c_0_831]) ).

cnf(c_0_1863,negated_conjecture,
    ( qq(s(X1))
    | p(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1428,c_0_833]),c_0_651]) ).

cnf(c_0_1864,negated_conjecture,
    ( r(s(s(X1)))
    | p(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1849,c_0_1850]),c_0_1372]),c_0_1298]) ).

cnf(c_0_1865,negated_conjecture,
    ( ar(X1)
    | ~ qrp4(X1) ),
    c061 ).

cnf(c_0_1866,negated_conjecture,
    ( rpq4(X1)
    | rpq3(X1)
    | rpq2(X1)
    | rpq1(X1)
    | qrp4(X1)
    | qrp3(X1)
    | qrp2(X1)
    | qrp1(X1)
    | rr(s(s(X1)))
    | qq(s(s(X1)))
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ ar(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1851,c_0_249]) ).

cnf(c_0_1867,negated_conjecture,
    ( ar(X1)
    | ~ qrp1(X1) ),
    c040 ).

cnf(c_0_1868,negated_conjecture,
    ( rr(s(s(X1)))
    | qq(s(s(X1)))
    | p(X1)
    | ar(X1)
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ q(X1)
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ ar(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1650,c_0_1852]),c_0_1651]) ).

cnf(c_0_1869,negated_conjecture,
    ( ap(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1853,c_0_871]) ).

cnf(c_0_1870,negated_conjecture,
    ( qq(X1)
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ q(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_1833]),c_0_1854]) ).

cnf(c_0_1871,negated_conjecture,
    ( qq(X1)
    | pp(X1)
    | p(X1)
    | ap(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1813,c_0_871]) ).

cnf(c_0_1872,negated_conjecture,
    ( qq(X1)
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ q(s(X1))
    | ~ pp(X1) ),
    inference(spm,[status(thm)],[c_0_1195,c_0_1815]) ).

cnf(c_0_1873,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | p(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1472,c_0_1075]),c_0_761]),c_0_376]) ).

cnf(c_0_1874,negated_conjecture,
    ( pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | qq(s(X1))
    | q(s(X1))
    | pp(s(X1))
    | pqr1(X1)
    | ~ pr(X1)
    | ~ qp(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ p(s(X1))
    | ~ ap(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1855,c_0_1804]) ).

cnf(c_0_1875,negated_conjecture,
    ( pr(X1)
    | r(X1)
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | p(X1)
    | ~ rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ pp(X1)
    | ~ ar(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1856,c_0_1857]) ).

cnf(c_0_1876,negated_conjecture,
    ( pr(X1)
    | r(s(s(X1)))
    | q(s(s(s(X1))))
    | p(s(s(s(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1858,c_0_1859]),c_0_1860]) ).

cnf(c_0_1877,negated_conjecture,
    ( qq(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ pp(X1)
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1220,c_0_590]),c_0_594]) ).

cnf(c_0_1878,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ pp(X1)
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1220,c_0_1268]),c_0_1275]) ).

cnf(c_0_1879,negated_conjecture,
    ( q(X1)
    | pp(s(X1))
    | p(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_769,c_0_1861]),c_0_736]),c_0_651]),c_0_495]) ).

cnf(c_0_1880,negated_conjecture,
    ( p(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1862,c_0_1863]) ).

cnf(c_0_1881,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1825,c_0_825]),c_0_736]) ).

cnf(c_0_1882,negated_conjecture,
    ( r(s(s(X1)))
    | r(X1)
    | qq(X1)
    | p(s(s(X1)))
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_1864,c_0_621]) ).

cnf(c_0_1883,negated_conjecture,
    ( rpq4(X1)
    | rpq3(X1)
    | rpq2(X1)
    | rpq1(X1)
    | rr(s(s(X1)))
    | qq(s(s(X1)))
    | ar(X1)
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ ar(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1865,c_0_1866]),c_0_1867]),c_0_1651]),c_0_1650]) ).

cnf(c_0_1884,negated_conjecture,
    ( ~ rpq1(X1)
    | ~ pp(X1) ),
    c065 ).

cnf(c_0_1885,negated_conjecture,
    ( ~ rpq3(X1)
    | ~ pp(X1) ),
    c079 ).

cnf(c_0_1886,negated_conjecture,
    ( rr(s(s(X1)))
    | qq(s(s(X1)))
    | p(X1)
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ q(X1)
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1868,c_0_255]),c_0_242]) ).

cnf(c_0_1887,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_320,c_0_1869]) ).

cnf(c_0_1888,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_322,c_0_1869]) ).

cnf(c_0_1889,negated_conjecture,
    ( qq(X1)
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1870,c_0_1871]),c_0_1854]),c_0_1872]) ).

cnf(c_0_1890,negated_conjecture,
    ( p(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1405,c_0_1506]) ).

cnf(c_0_1891,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | p(X1)
    | ~ r(s(X1))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1873,c_0_454]),c_0_1175]),c_0_376]) ).

cnf(c_0_1892,negated_conjecture,
    ( qrp4(X1)
    | qrp3(X1)
    | qrp2(X1)
    | qrp1(X1)
    | pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | qq(s(X1))
    | q(s(X1))
    | pp(s(X1))
    | pqr1(X1)
    | ~ pr(X1)
    | ~ qp(X1)
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ p(s(X1))
    | ~ ap(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1874,c_0_1617]) ).

cnf(c_0_1893,negated_conjecture,
    ( pr(X1)
    | r(s(X1))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | p(X1)
    | ~ rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1875,c_0_245]),c_0_1876]),c_0_733]) ).

cnf(c_0_1894,negated_conjecture,
    ( qq(X1)
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ pp(X1)
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1877,c_0_1878]) ).

cnf(c_0_1895,negated_conjecture,
    ( q(X1)
    | p(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1594,c_0_1879]),c_0_317]),c_0_369]),c_0_1880]) ).

cnf(c_0_1896,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | q(s(s(X1)))
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_1881,c_0_1229]) ).

cnf(c_0_1897,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | p(s(s(X1)))
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1645,c_0_1882]),c_0_1269]) ).

cnf(c_0_1898,negated_conjecture,
    ( rr(s(s(X1)))
    | qq(s(s(X1)))
    | ar(X1)
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ pp(X1)
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ ar(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1777,c_0_1883]),c_0_1884]),c_0_268]),c_0_1885]) ).

cnf(c_0_1899,negated_conjecture,
    ( qq(s(s(X1)))
    | p(X1)
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_1886]),c_0_308]) ).

cnf(c_0_1900,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1887,c_0_1656]),c_0_1520]),c_0_1888]) ).

cnf(c_0_1901,negated_conjecture,
    ( r(s(s(X1)))
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1889,c_0_805]),c_0_1229]),c_0_1399]) ).

cnf(c_0_1902,negated_conjecture,
    ( rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_512,c_0_500]),c_0_320]) ).

cnf(c_0_1903,negated_conjecture,
    ( p(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_1890,c_0_249]) ).

cnf(c_0_1904,negated_conjecture,
    ( r(X1)
    | p(X1)
    | ~ r(s(X1))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1189,c_0_1891]),c_0_622]) ).

cnf(c_0_1905,negated_conjecture,
    ( qrp3(X1)
    | qrp2(X1)
    | pqr4(X1)
    | qq(s(X1))
    | pp(s(X1))
    | p(X1)
    | pqr1(X1)
    | ~ pr(X1)
    | ~ qp(X1)
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ p(s(X1))
    | ~ ap(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1819,c_0_1892]),c_0_420]),c_0_421]),c_0_422]),c_0_1818]) ).

cnf(c_0_1906,negated_conjecture,
    ( pr(X1)
    | r(s(X1))
    | q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | p(X1)
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1893,c_0_433]),c_0_1808]),c_0_425]),c_0_1876]) ).

cnf(c_0_1907,negated_conjecture,
    ( r(s(X1))
    | qq(s(s(X1)))
    | qq(s(X1))
    | pp(s(X1))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_673,c_0_251]) ).

cnf(c_0_1908,negated_conjecture,
    ( r(s(s(X1)))
    | qq(X1)
    | q(s(s(X1)))
    | pp(X1)
    | p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_743]),c_0_679]) ).

cnf(c_0_1909,negated_conjecture,
    ( qq(X1)
    | p(s(X1))
    | ~ rr(X1)
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_858,c_0_1894]),c_0_317]),c_0_651]) ).

cnf(c_0_1910,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1895,c_0_1896]),c_0_1897]) ).

cnf(c_0_1911,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | r(s(X1))
    | qq(s(X1))
    | q(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_1105]),c_0_528]),c_0_320]) ).

cnf(c_0_1912,negated_conjecture,
    ( rr(s(s(X1)))
    | qq(s(s(X1)))
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ pp(X1)
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1898,c_0_255]),c_0_242]) ).

cnf(c_0_1913,negated_conjecture,
    ( p(X1)
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_971,c_0_1899]),c_0_338]),c_0_843]),c_0_1900]) ).

cnf(c_0_1914,negated_conjecture,
    ( pp(s(s(X1)))
    | p(X1)
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_642,c_0_1899]),c_0_457]),c_0_1166]) ).

cnf(c_0_1915,negated_conjecture,
    ( qq(X1)
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ q(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1797,c_0_1901]),c_0_1788]) ).

cnf(c_0_1916,negated_conjecture,
    ( rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1902,c_0_251]) ).

cnf(c_0_1917,negated_conjecture,
    ( pp(s(X1))
    | p(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1405,c_0_1588]) ).

cnf(c_0_1918,negated_conjecture,
    ( r(X1)
    | p(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1903,c_0_245]),c_0_1904]) ).

cnf(c_0_1919,negated_conjecture,
    ( ~ qrp3(X1)
    | ~ r(X1) ),
    c050 ).

cnf(c_0_1920,negated_conjecture,
    ( ~ qrp2(X1)
    | ~ rr(X1) ),
    c044 ).

cnf(c_0_1921,negated_conjecture,
    ( qrp2(X1)
    | qq(s(X1))
    | pp(s(X1))
    | p(X1)
    | ~ pr(X1)
    | ~ qp(X1)
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ p(s(X1))
    | ~ ap(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1647,c_0_1905]),c_0_515]),c_0_1406]) ).

cnf(c_0_1922,negated_conjecture,
    ( pr(X1)
    | r(s(X1))
    | qq(s(X1))
    | q(s(s(s(X1))))
    | pp(s(X1))
    | p(s(s(s(X1))))
    | p(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1906,c_0_1907]),c_0_260]),c_0_1908]) ).

cnf(c_0_1923,negated_conjecture,
    ( r(X1)
    | q(X1)
    | p(s(s(X1)))
    | ~ qq(X1)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_1895,c_0_1521]) ).

cnf(c_0_1924,negated_conjecture,
    ( qq(s(X1))
    | p(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1909,c_0_831]) ).

cnf(c_0_1925,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | q(s(X1))
    | ~ rr(X1)
    | ~ pp(X1)
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_735,c_0_1910]),c_0_761]) ).

cnf(c_0_1926,negated_conjecture,
    ( rr(s(X1))
    | q(X1)
    | pp(X1)
    | aq(X1)
    | ap(X1)
    | ~ r(X1)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_310,c_0_272]) ).

cnf(c_0_1927,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_1911]),c_0_761]) ).

cnf(c_0_1928,negated_conjecture,
    ( qq(s(s(X1)))
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ pp(X1)
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_460,c_0_1912]) ).

cnf(c_0_1929,negated_conjecture,
    ( p(X1)
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1913,c_0_1914]),c_0_338]),c_0_843]) ).

cnf(c_0_1930,negated_conjecture,
    ( qq(X1)
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1915,c_0_1275]) ).

cnf(c_0_1931,negated_conjecture,
    ( q(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1746,c_0_683]),c_0_666]),c_0_708]),c_0_656]) ).

cnf(c_0_1932,negated_conjecture,
    ( rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_451,c_0_1916]) ).

cnf(c_0_1933,negated_conjecture,
    ( pp(s(X1))
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1917,c_0_580]) ).

cnf(c_0_1934,negated_conjecture,
    ( r(X1)
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1918,c_0_580]) ).

cnf(c_0_1935,negated_conjecture,
    ( qrp2(X1)
    | pqr4(X1)
    | qq(s(X1))
    | pp(s(X1))
    | p(X1)
    | pqr1(X1)
    | ~ pr(X1)
    | ~ qp(X1)
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ p(s(X1))
    | ~ ap(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1919,c_0_1905]),c_0_390]) ).

cnf(c_0_1936,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | p(X1)
    | ~ pr(X1)
    | ~ qp(X1)
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ p(s(X1))
    | ~ ap(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1920,c_0_1921]),c_0_685]) ).

cnf(c_0_1937,negated_conjecture,
    ( pr(X1)
    | q(s(X1))
    | pp(s(X1))
    | p(s(s(s(X1))))
    | p(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1895,c_0_1922]),c_0_1923]),c_0_847]) ).

cnf(c_0_1938,negated_conjecture,
    ( p(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_576,c_0_1924]),c_0_1579]) ).

cnf(c_0_1939,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | ~ rr(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_1925,c_0_249]) ).

cnf(c_0_1940,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | q(s(s(X1)))
    | q(X1)
    | pp(s(X1))
    | ap(X1)
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1125,c_0_1926]),c_0_1134]),c_0_454]) ).

cnf(c_0_1941,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | q(s(s(X1)))
    | q(X1)
    | p(X1)
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1927,c_0_424]),c_0_731]),c_0_761]) ).

cnf(c_0_1942,negated_conjecture,
    ( q(s(X1))
    | p(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1832,c_0_592]),c_0_402]),c_0_449]),c_0_578]),c_0_436]) ).

cnf(c_0_1943,negated_conjecture,
    ( qq(s(X1))
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ pp(X1)
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_472,c_0_1928]) ).

cnf(c_0_1944,negated_conjecture,
    ( p(X1)
    | ~ qp(X1)
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1929,c_0_987]),c_0_457]) ).

cnf(c_0_1945,negated_conjecture,
    ( qq(X1)
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_340,c_0_1930]) ).

cnf(c_0_1946,negated_conjecture,
    ( ap(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_1658]),c_0_622]) ).

cnf(c_0_1947,negated_conjecture,
    ( q(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_1931,c_0_307]) ).

cnf(c_0_1948,negated_conjecture,
    ( ~ rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1043,c_0_251]) ).

cnf(c_0_1949,negated_conjecture,
    ( rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1932,c_0_1009]),c_0_322]) ).

cnf(c_0_1950,negated_conjecture,
    ( p(s(X1))
    | aq(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1903,c_0_272]) ).

cnf(c_0_1951,negated_conjecture,
    ( rr(X1)
    | p(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1903,c_0_337]) ).

cnf(c_0_1952,negated_conjecture,
    ( pp(s(X1))
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1933,c_0_903]) ).

cnf(c_0_1953,negated_conjecture,
    ( r(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1934,c_0_903]),c_0_944]) ).

cnf(c_0_1954,negated_conjecture,
    ( pqr4(X1)
    | qq(s(X1))
    | pp(s(X1))
    | p(X1)
    | pqr1(X1)
    | ~ pr(X1)
    | ~ qp(X1)
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ p(s(X1))
    | ~ ap(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1619,c_0_1935]),c_0_1936]) ).

cnf(c_0_1955,negated_conjecture,
    ( pr(X1)
    | p(s(s(X1)))
    | p(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1163,c_0_1937]),c_0_1938]),c_0_662]) ).

cnf(c_0_1956,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1939,c_0_241]),c_0_528]),c_0_761]) ).

cnf(c_0_1957,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | q(X1)
    | pp(s(X1))
    | ap(X1)
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_886,c_0_1940]),c_0_1229]) ).

cnf(c_0_1958,negated_conjecture,
    ( r(s(s(X1)))
    | r(X1)
    | q(s(s(X1)))
    | p(X1)
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1064,c_0_1941]),c_0_1942]),c_0_871]) ).

cnf(c_0_1959,negated_conjecture,
    ( qq(s(X1))
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1943,c_0_987]),c_0_457]) ).

cnf(c_0_1960,negated_conjecture,
    ( qrp4(X1)
    | qrp3(X1)
    | qrp2(X1)
    | qrp1(X1)
    | p(s(X1))
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ aq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1944,c_0_1617]) ).

cnf(c_0_1961,negated_conjecture,
    ( qq(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1945,c_0_249]),c_0_397]) ).

cnf(c_0_1962,negated_conjecture,
    ( ap(X1)
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1946,c_0_307]),c_0_1947]),c_0_470]) ).

cnf(c_0_1963,negated_conjecture,
    ( qq(X1)
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1523,c_0_1756]),c_0_595]) ).

cnf(c_0_1964,negated_conjecture,
    ( ~ r(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1948,c_0_801]),c_0_1949]) ).

cnf(c_0_1965,negated_conjecture,
    ( p(s(X1))
    | ap(X1)
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ qq(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_873,c_0_1950]),c_0_1951]),c_0_317]) ).

cnf(c_0_1966,negated_conjecture,
    ( p(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_1952]),c_0_1953]) ).

cnf(c_0_1967,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | p(X1)
    | pqr1(X1)
    | ~ pr(X1)
    | ~ qp(X1)
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ p(s(X1))
    | ~ ap(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_1954]),c_0_320]) ).

cnf(c_0_1968,negated_conjecture,
    ( pr(X1)
    | pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | p(s(s(s(X1))))
    | p(s(X1))
    | pqr1(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_238,c_0_1955]) ).

cnf(c_0_1969,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | q(X1)
    | p(X1)
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1956,c_0_1941]),c_0_1957]),c_0_1958]) ).

cnf(c_0_1970,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_1927,c_0_450]) ).

cnf(c_0_1971,negated_conjecture,
    ( qq(s(X1))
    | ~ rq(X1)
    | ~ qp(X1)
    | ~ q(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1959,c_0_826]),c_0_338]),c_0_596]) ).

cnf(c_0_1972,negated_conjecture,
    ( qrp3(X1)
    | qrp2(X1)
    | p(s(X1))
    | p(X1)
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1819,c_0_1960]),c_0_1818]) ).

cnf(c_0_1973,negated_conjecture,
    ( rr(X1)
    | qq(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1961,c_0_337]) ).

cnf(c_0_1974,negated_conjecture,
    ( ap(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_1962,c_0_871]) ).

cnf(c_0_1975,negated_conjecture,
    ( qq(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1963,c_0_801]),c_0_1964]) ).

cnf(c_0_1976,negated_conjecture,
    ( p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1965,c_0_801]),c_0_1966]) ).

cnf(c_0_1977,negated_conjecture,
    ( qq(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1963,c_0_887]),c_0_1045]) ).

cnf(c_0_1978,negated_conjecture,
    ( ~ r(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_281,c_0_251]) ).

cnf(c_0_1979,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | p(X1)
    | ~ pr(X1)
    | ~ qp(X1)
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ p(s(X1))
    | ~ ap(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1585,c_0_1967]),c_0_320]) ).

cnf(c_0_1980,negated_conjecture,
    ( pr(X1)
    | pqr3(X1)
    | pqr2(X1)
    | p(s(s(s(X1))))
    | p(s(X1))
    | pqr1(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_1968]),c_0_338]) ).

cnf(c_0_1981,negated_conjecture,
    ( p(X1)
    | q(X1)
    | qq(X1)
    | rr(X1)
    | q(s(X1))
    | ~ aq(X1)
    | ~ pp(X1)
    | ~ r(X1) ),
    c135 ).

cnf(c_0_1982,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | q(X1)
    | p(X1)
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_731,c_0_1969]),c_0_761]) ).

cnf(c_0_1983,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_685,c_0_1970]) ).

cnf(c_0_1984,negated_conjecture,
    ( r(X1)
    | qq(s(s(X1)))
    | pp(X1)
    | p(X1)
    | ~ qp(s(X1))
    | ~ rr(X1)
    | ~ q(s(s(s(X1))))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1971,c_0_1802]),c_0_563]),c_0_941]) ).

cnf(c_0_1985,negated_conjecture,
    ( qrp2(X1)
    | p(X1)
    | ~ qp(X1)
    | ~ r(X1)
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1919,c_0_1972]),c_0_858]) ).

cnf(c_0_1986,negated_conjecture,
    ( q(s(s(s(X1))))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ pp(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1434,c_0_251]) ).

cnf(c_0_1987,negated_conjecture,
    ( rr(X1)
    | qq(s(X1))
    | ap(X1)
    | ~ r(s(X1))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1973,c_0_1303]),c_0_675]),c_0_622]),c_0_1974]) ).

cnf(c_0_1988,negated_conjecture,
    ( r(s(X1))
    | p(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_1975]),c_0_528]) ).

cnf(c_0_1989,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1556,c_0_1975]),c_0_1964]) ).

cnf(c_0_1990,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1976,c_0_1977]),c_0_1546]),c_0_1978]) ).

cnf(c_0_1991,negated_conjecture,
    ( pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | qq(s(s(X1)))
    | pp(s(s(X1)))
    | p(s(X1))
    | pqr1(X1)
    | ~ pr(X1)
    | ~ qp(s(X1))
    | ~ rr(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ ap(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1979,c_0_1804]) ).

cnf(c_0_1992,negated_conjecture,
    ( pr(X1)
    | pqr2(X1)
    | p(s(s(s(X1))))
    | p(s(X1))
    | pqr1(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_1980]),c_0_338]) ).

cnf(c_0_1993,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | q(s(X1))
    | p(X1)
    | ~ pp(X1)
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_1981,c_0_405]),c_0_449]) ).

cnf(c_0_1994,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | q(s(X1))
    | pp(X1)
    | p(X1)
    | ap(X1) ),
    inference(spm,[status(thm)],[c_0_563,c_0_1106]) ).

cnf(c_0_1995,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | q(X1)
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1927,c_0_698]),c_0_1982]),c_0_1983]),c_0_748]) ).

cnf(c_0_1996,negated_conjecture,
    ( pp(X1)
    | p(X1)
    | ~ qp(X1)
    | ~ rr(X1)
    | ~ q(s(s(s(X1))))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1984,c_0_1617]),c_0_994]),c_0_1985]),c_0_1818]),c_0_1920]),c_0_1738]),c_0_1819]) ).

cnf(c_0_1997,negated_conjecture,
    ( rr(s(X1))
    | r(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ pp(s(s(X1)))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1986,c_0_1242]),c_0_1502]),c_0_1645]) ).

cnf(c_0_1998,negated_conjecture,
    ( rr(X1)
    | pp(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1308,c_0_1987]),c_0_1397]) ).

cnf(c_0_1999,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1569,c_0_1975]),c_0_1846]),c_0_1988]),c_0_1989]),c_0_1990]) ).

cnf(c_0_2000,negated_conjecture,
    ( qrp4(X1)
    | qrp3(X1)
    | qrp2(X1)
    | qrp1(X1)
    | pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | qq(s(s(X1)))
    | pp(s(s(X1)))
    | p(s(X1))
    | pqr1(X1)
    | ~ pr(X1)
    | ~ qp(X1)
    | ~ rr(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ ap(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1991,c_0_1617]) ).

cnf(c_0_2001,negated_conjecture,
    ( pr(X1)
    | p(s(s(s(X1))))
    | p(s(X1))
    | pqr1(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1580,c_0_1992]),c_0_338]) ).

cnf(c_0_2002,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(X1))
    | p(s(X1))
    | ap(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1038,c_0_719]),c_0_426]) ).

cnf(c_0_2003,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | q(s(s(X1)))
    | p(s(X1))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1993,c_0_251]) ).

cnf(c_0_2004,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | q(s(X1))
    | pp(X1)
    | p(X1)
    | ap(X1) ),
    inference(spm,[status(thm)],[c_0_425,c_0_1994]) ).

cnf(c_0_2005,negated_conjecture,
    ( r(s(s(s(X1))))
    | qq(s(s(X1)))
    | q(s(s(s(X1))))
    | ~ rr(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_745,c_0_255]) ).

cnf(c_0_2006,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | qq(s(X1))
    | q(s(s(s(X1))))
    | q(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_1995]),c_0_320]) ).

cnf(c_0_2007,negated_conjecture,
    ( pp(X1)
    | p(X1)
    | ~ qp(X1)
    | ~ rr(X1)
    | ~ q(s(s(s(X1))))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(s(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1996,c_0_251]),c_0_563]) ).

cnf(c_0_2008,negated_conjecture,
    ( ~ r(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1997,c_0_1998]),c_0_322]),c_0_571]),c_0_1999]) ).

cnf(c_0_2009,negated_conjecture,
    ( qrp4(X1)
    | qrp3(X1)
    | qrp2(X1)
    | qrp1(X1)
    | pqr4(X1)
    | pqr3(X1)
    | pqr2(X1)
    | qq(s(s(X1)))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | p(s(X1))
    | pqr1(X1)
    | ~ pr(X1)
    | ~ qp(X1)
    | ~ rr(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2000,c_0_317]),c_0_496]) ).

cnf(c_0_2010,negated_conjecture,
    ( pr(X1)
    | p(s(s(s(X1))))
    | p(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1741,c_0_2001]),c_0_1163]) ).

cnf(c_0_2011,negated_conjecture,
    ( r(s(s(X1)))
    | qq(X1)
    | p(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_475,c_0_2002]),c_0_340]),c_0_324]) ).

cnf(c_0_2012,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | q(s(s(X1)))
    | pp(s(s(X1)))
    | ~ qq(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1104,c_0_465]),c_0_320]) ).

cnf(c_0_2013,negated_conjecture,
    ( rr(X1)
    | qq(s(X1))
    | q(s(s(X1)))
    | p(s(X1))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_523,c_0_2003]) ).

cnf(c_0_2014,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_322,c_0_2004]) ).

cnf(c_0_2015,negated_conjecture,
    ( r(s(s(s(X1))))
    | r(s(X1))
    | qq(s(s(X1)))
    | q(s(s(s(X1))))
    | q(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2005,c_0_729]),c_0_1146]),c_0_1229]),c_0_2006]),c_0_465]) ).

cnf(c_0_2016,negated_conjecture,
    ( pp(X1)
    | p(X1)
    | ~ qp(X1)
    | ~ rr(X1)
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(s(X1)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2007,c_0_1014]),c_0_563]) ).

cnf(c_0_2017,negated_conjecture,
    ( p(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2008,c_0_1577]) ).

cnf(c_0_2018,negated_conjecture,
    ( qrp3(X1)
    | qrp2(X1)
    | pqr4(X1)
    | p(s(s(s(X1))))
    | p(s(X1))
    | p(X1)
    | pqr1(X1)
    | ~ qp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1819,c_0_2009]),c_0_831]),c_0_2010]),c_0_1938]),c_0_1862]),c_0_421]),c_0_422]),c_0_1818]) ).

cnf(c_0_2019,negated_conjecture,
    ( r(s(s(X1)))
    | qq(X1)
    | p(s(X1))
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2011,c_0_454]),c_0_340]) ).

cnf(c_0_2020,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | q(s(s(X1)))
    | pp(s(X1))
    | ~ qq(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_2012]),c_0_320]) ).

cnf(c_0_2021,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | q(s(s(X1)))
    | p(s(X1))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_586,c_0_2013]) ).

cnf(c_0_2022,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_523,c_0_2014]) ).

cnf(c_0_2023,negated_conjecture,
    ( r(s(s(s(X1))))
    | r(s(X1))
    | qq(s(X1))
    | q(s(s(s(X1))))
    | q(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_472,c_0_2015]) ).

cnf(c_0_2024,negated_conjecture,
    ( p(X1)
    | ~ qp(X1)
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2016,c_0_2017]),c_0_260]),c_0_341]),c_0_324]) ).

cnf(c_0_2025,negated_conjecture,
    ( qrp2(X1)
    | pqr4(X1)
    | pp(X1)
    | p(s(s(s(X1))))
    | p(s(X1))
    | p(X1)
    | ~ qp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1738,c_0_2018]),c_0_418]) ).

cnf(c_0_2026,negated_conjecture,
    ( qq(X1)
    | p(s(X1))
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_2019]),c_0_487]) ).

cnf(c_0_2027,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | q(s(s(X1)))
    | pp(s(X1))
    | ~ qq(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_488,c_0_2020]) ).

cnf(c_0_2028,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_320,c_0_2004]) ).

cnf(c_0_2029,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(X1)
    | q(s(s(X1)))
    | p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2021,c_0_2022]) ).

cnf(c_0_2030,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | pp(s(X1))
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_1125,c_0_450]) ).

cnf(c_0_2031,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(s(X1))))
    | q(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_2023]),c_0_1217]) ).

cnf(c_0_2032,negated_conjecture,
    ( qrp4(X1)
    | qrp3(X1)
    | qrp2(X1)
    | qrp1(X1)
    | p(s(X1))
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_2024,c_0_1617]) ).

cnf(c_0_2033,negated_conjecture,
    ( qrp2(X1)
    | qrp1(X1)
    | pqr4(X1)
    | pqr3(X1)
    | pp(X1)
    | p(s(s(s(X1))))
    | p(s(X1))
    | ~ qp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1736,c_0_2009]),c_0_831]),c_0_2010]),c_0_418]),c_0_1938]),c_0_1862]),c_0_1653]),c_0_1738]) ).

cnf(c_0_2034,negated_conjecture,
    ( pqr4(X1)
    | qq(X1)
    | p(s(s(s(X1))))
    | p(s(X1))
    | p(X1)
    | ~ qp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1619,c_0_2025]),c_0_2026]) ).

cnf(c_0_2035,negated_conjecture,
    ( rr(s(X1))
    | rr(X1)
    | r(s(s(X1)))
    | qq(s(X1))
    | qq(X1)
    | p(X1)
    | ap(X1)
    | ~ q(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1239,c_0_434]),c_0_448]) ).

cnf(c_0_2036,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_391,c_0_337]) ).

cnf(c_0_2037,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | qq(X1)
    | q(s(s(X1)))
    | pp(s(X1))
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_2027,c_0_431]) ).

cnf(c_0_2038,negated_conjecture,
    ( rr(s(X1))
    | rr(X1)
    | r(s(s(X1)))
    | qq(X1)
    | q(s(s(X1)))
    | pp(s(X1))
    | p(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2028,c_0_434]),c_0_2029]),c_0_341]) ).

cnf(c_0_2039,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | pp(s(X1))
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_685,c_0_2030]) ).

cnf(c_0_2040,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1166,c_0_2031]),c_0_342]) ).

cnf(c_0_2041,negated_conjecture,
    ( qrp3(X1)
    | qrp2(X1)
    | qrp1(X1)
    | p(s(X1))
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1621,c_0_2032]),c_0_1163]) ).

cnf(c_0_2042,negated_conjecture,
    ( q(s(X1))
    | pp(X1)
    | p(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_724,c_0_1814]) ).

cnf(c_0_2043,negated_conjecture,
    ( pqr4(X1)
    | pqr3(X1)
    | qq(X1)
    | p(s(s(s(X1))))
    | p(s(X1))
    | ~ qp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1619,c_0_2033]),c_0_2026]),c_0_1618]) ).

cnf(c_0_2044,negated_conjecture,
    ( qq(X1)
    | p(s(s(s(X1))))
    | p(s(X1))
    | p(X1)
    | ~ qp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_492,c_0_2034]),c_0_338]) ).

cnf(c_0_2045,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | p(X1)
    | ~ qq(s(X1))
    | ~ q(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_907,c_0_1800]),c_0_574]) ).

cnf(c_0_2046,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(s(X1))
    | qq(X1)
    | p(X1)
    | ap(X1)
    | ~ q(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_711,c_0_2035]),c_0_563]),c_0_1315]) ).

cnf(c_0_2047,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | p(X1)
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2036,c_0_448]),c_0_464]) ).

cnf(c_0_2048,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(X1)
    | q(s(s(X1)))
    | pp(s(X1))
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_907,c_0_2037]) ).

cnf(c_0_2049,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | pp(s(X1))
    | p(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_748,c_0_2038]),c_0_2039]) ).

cnf(c_0_2050,negated_conjecture,
    ( r(s(s(X1)))
    | qq(X1)
    | q(s(X1))
    | p(s(X1))
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_408,c_0_431]) ).

cnf(c_0_2051,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | ~ rr(s(X1))
    | ~ qq(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1017,c_0_251]) ).

cnf(c_0_2052,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_2040,c_0_450]) ).

cnf(c_0_2053,negated_conjecture,
    ( qrp2(X1)
    | qrp1(X1)
    | pp(X1)
    | p(s(X1))
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1738,c_0_2041]),c_0_2042]) ).

cnf(c_0_2054,negated_conjecture,
    ( pqr3(X1)
    | qq(X1)
    | p(s(s(s(X1))))
    | p(s(X1))
    | ~ qp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1632,c_0_2043]),c_0_2044]) ).

cnf(c_0_2055,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | p(X1)
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2045,c_0_2046]),c_0_1107]),c_0_2047]) ).

cnf(c_0_2056,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(X1)
    | q(s(s(X1)))
    | pp(s(X1))
    | p(X1)
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_2048,c_0_2049]) ).

cnf(c_0_2057,negated_conjecture,
    ( r(s(s(X1)))
    | qq(X1)
    | q(s(X1))
    | p(s(X1))
    | ap(X1)
    | ~ pp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_2050,c_0_2002]) ).

cnf(c_0_2058,negated_conjecture,
    ( r(s(X1))
    | q(s(s(s(X1))))
    | q(s(X1))
    | ~ rr(s(X1))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2051,c_0_2052]),c_0_1476]) ).

cnf(c_0_2059,negated_conjecture,
    ( qq(X1)
    | p(s(X1))
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1619,c_0_2053]),c_0_2026]),c_0_1618]) ).

cnf(c_0_2060,negated_conjecture,
    ( qq(X1)
    | p(s(s(s(X1))))
    | p(s(X1))
    | ~ qp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1641,c_0_2054]),c_0_1163]) ).

cnf(c_0_2061,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(X1)
    | q(s(s(X1)))
    | p(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2055,c_0_2056]),c_0_1229]) ).

cnf(c_0_2062,negated_conjecture,
    ( r(s(X1))
    | q(s(s(X1)))
    | ~ rr(X1)
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1087,c_0_920]) ).

cnf(c_0_2063,negated_conjecture,
    ( r(s(s(X1)))
    | qq(X1)
    | q(s(s(X1)))
    | p(s(X1))
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2057,c_0_1141]),c_0_317]),c_0_871]),c_0_1144]) ).

cnf(c_0_2064,negated_conjecture,
    ( r(s(X1))
    | q(s(s(X1)))
    | ~ rr(s(X1))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1262,c_0_2058]),c_0_659]) ).

cnf(c_0_2065,negated_conjecture,
    ( qq(s(X1))
    | p(X1)
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_472,c_0_1899]) ).

cnf(c_0_2066,negated_conjecture,
    ( qq(X1)
    | p(s(X1))
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2059,c_0_1033]),c_0_260]),c_0_2060]) ).

cnf(c_0_2067,negated_conjecture,
    ( r(s(X1))
    | q(s(s(X1)))
    | p(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_2061]),c_0_352]),c_0_940]),c_0_2062]) ).

cnf(c_0_2068,negated_conjecture,
    ( qq(X1)
    | q(s(s(X1)))
    | p(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_847,c_0_2063]),c_0_340]) ).

cnf(c_0_2069,negated_conjecture,
    ( r(s(X1))
    | q(s(s(X1)))
    | ~ rr(X1)
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2064,c_0_580]) ).

cnf(c_0_2070,negated_conjecture,
    ( qq(s(X1))
    | p(X1)
    | ~ qp(X1)
    | ~ q(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2065,c_0_987]),c_0_457]) ).

cnf(c_0_2071,negated_conjecture,
    ( qq(X1)
    | p(s(X1))
    | ~ qp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2066,c_0_2067]),c_0_2068]),c_0_847]) ).

cnf(c_0_2072,negated_conjecture,
    ( r(s(s(X1)))
    | r(X1)
    | p(s(s(X1)))
    | p(X1)
    | ~ rr(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1198,c_0_1122]),c_0_563]),c_0_1120]),c_0_1298]) ).

cnf(c_0_2073,negated_conjecture,
    ( q(X1)
    | ~ q(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1895,c_0_595]),c_0_708]) ).

cnf(c_0_2074,negated_conjecture,
    ( r(s(X1))
    | q(s(s(X1)))
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2069,c_0_903]) ).

cnf(c_0_2075,negated_conjecture,
    ( qq(s(X1))
    | p(X1)
    | ~ qp(X1)
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2070,c_0_826]),c_0_338]),c_0_596]) ).

cnf(c_0_2076,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | qq(s(X1))
    | p(s(X1))
    | ~ q(s(X1))
    | ~ pp(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_2046]),c_0_320]) ).

cnf(c_0_2077,negated_conjecture,
    ( qrp4(X1)
    | qrp3(X1)
    | qrp2(X1)
    | qrp1(X1)
    | qq(s(X1))
    | p(s(s(X1)))
    | ~ qp(X1)
    | ~ p(s(s(s(X1)))) ),
    inference(spm,[status(thm)],[c_0_2071,c_0_1617]) ).

cnf(c_0_2078,negated_conjecture,
    ( r(s(s(s(X1))))
    | r(s(X1))
    | qq(s(X1))
    | p(s(s(s(X1))))
    | p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2072,c_0_1317]),c_0_1326]) ).

cnf(c_0_2079,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | ~ rr(X1)
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2073,c_0_2074]),c_0_741]) ).

cnf(c_0_2080,negated_conjecture,
    ( qrp4(X1)
    | qrp3(X1)
    | qrp2(X1)
    | qrp1(X1)
    | qq(s(s(X1)))
    | p(s(X1))
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ aq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_2075,c_0_1617]) ).

cnf(c_0_2081,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | aq(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_411,c_0_272]) ).

cnf(c_0_2082,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | qq(s(X1))
    | p(s(X1))
    | ~ q(s(X1))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2076,c_0_454]),c_0_320]) ).

cnf(c_0_2083,negated_conjecture,
    ( qq(s(X1))
    | p(s(s(X1)))
    | ar(X1)
    | ~ qp(X1)
    | ~ p(s(s(s(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1865,c_0_2077]),c_0_1867]),c_0_1651]),c_0_1650]) ).

cnf(c_0_2084,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_488,c_0_2078]),c_0_1192]),c_0_1788]) ).

cnf(c_0_2085,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | ~ rr(s(X1))
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2079,c_0_249]),c_0_1229]) ).

cnf(c_0_2086,negated_conjecture,
    ( qq(s(s(X1)))
    | p(s(X1))
    | ar(X1)
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1865,c_0_2080]),c_0_1867]),c_0_1651]),c_0_1650]) ).

cnf(c_0_2087,negated_conjecture,
    ( qq(s(X1))
    | qq(X1)
    | pp(s(X1))
    | p(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_2081]),c_0_432]),c_0_454]) ).

cnf(c_0_2088,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | p(s(X1))
    | ~ q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1624,c_0_2082]),c_0_457]) ).

cnf(c_0_2089,negated_conjecture,
    ( rr(s(X1))
    | pp(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1497,c_0_500]) ).

cnf(c_0_2090,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | p(s(s(X1)))
    | ~ qp(X1)
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2083,c_0_2084]),c_0_242]) ).

cnf(c_0_2091,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2085,c_0_241]),c_0_761]) ).

cnf(c_0_2092,negated_conjecture,
    ( rr(s(X1))
    | r(s(X1))
    | p(X1)
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_241]),c_0_253]),c_0_733]),c_0_313]) ).

cnf(c_0_2093,negated_conjecture,
    ( qq(s(s(X1)))
    | p(s(X1))
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2086,c_0_251]),c_0_240]) ).

cnf(c_0_2094,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | qq(X1)
    | pp(s(X1))
    | p(X1)
    | ~ r(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2087,c_0_805]),c_0_1315]),c_0_273]) ).

cnf(c_0_2095,negated_conjecture,
    ( r(s(X1))
    | ~ rr(s(X1))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_965,c_0_249]) ).

cnf(c_0_2096,negated_conjecture,
    ( rr(s(s(X1)))
    | qq(s(s(X1)))
    | p(s(s(X1)))
    | ~ q(s(s(s(X1))))
    | ~ pp(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2088,c_0_251]) ).

cnf(c_0_2097,negated_conjecture,
    ( rr(s(s(X1)))
    | pp(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ q(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2089,c_0_251]) ).

cnf(c_0_2098,negated_conjecture,
    ( qrp4(X1)
    | qrp3(X1)
    | qrp2(X1)
    | qrp1(X1)
    | r(s(s(s(X1))))
    | qq(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ qp(X1)
    | ~ aq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_2090,c_0_1617]) ).

cnf(c_0_2099,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | p(X1)
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2091,c_0_2092]),c_0_761]) ).

cnf(c_0_2100,negated_conjecture,
    ( r(s(X1))
    | p(s(X1))
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_613,c_0_2093]) ).

cnf(c_0_2101,negated_conjecture,
    ( r(s(s(X1)))
    | pp(s(X1))
    | p(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1569,c_0_2094]),c_0_1330]),c_0_290]),c_0_1390]) ).

cnf(c_0_2102,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | pp(X1)
    | qp(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ qq(X1)
    | ~ r(X1) ),
    c201 ).

cnf(c_0_2103,negated_conjecture,
    ( ap(X1)
    | ~ rr(s(X1))
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2095,c_0_272]),c_0_994]),c_0_1681]) ).

cnf(c_0_2104,negated_conjecture,
    ( rr(s(X1))
    | qq(s(s(X1)))
    | p(s(s(X1)))
    | ~ q(s(s(s(X1))))
    | ~ pp(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_451,c_0_2096]) ).

cnf(c_0_2105,negated_conjecture,
    ( rr(s(X1))
    | pp(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ q(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_451,c_0_2097]) ).

cnf(c_0_2106,negated_conjecture,
    ( r(s(X1))
    | p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1918,c_0_801]) ).

cnf(c_0_2107,negated_conjecture,
    ( r(s(s(s(X1))))
    | qq(s(s(X1)))
    | p(s(s(s(X1))))
    | ar(X1)
    | ~ qp(X1)
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1865,c_0_2098]),c_0_1867]),c_0_1651]),c_0_1650]) ).

cnf(c_0_2108,negated_conjecture,
    ( p(s(X1))
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1001,c_0_2093]) ).

cnf(c_0_2109,negated_conjecture,
    ( q(s(s(X1)))
    | p(X1)
    | ~ r(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_847,c_0_2099]),c_0_858]) ).

cnf(c_0_2110,negated_conjecture,
    ( r(s(X1))
    | p(s(X1))
    | ~ qp(X1)
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2100,c_0_1014]),c_0_528]) ).

cnf(c_0_2111,negated_conjecture,
    ( r(s(s(X1)))
    | pp(X1)
    | p(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_2101]),c_0_273]) ).

cnf(c_0_2112,negated_conjecture,
    ( rr(X1)
    | qq(s(s(X1)))
    | pp(X1)
    | p(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(s(s(X1))))
    | ~ q(X1)
    | ~ p(s(s(s(X1))))
    | ~ ar(X1)
    | ~ aq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2075,c_0_2102]),c_0_529]) ).

cnf(c_0_2113,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | p(X1)
    | ap(X1)
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2103,c_0_351]),c_0_1023]) ).

cnf(c_0_2114,negated_conjecture,
    ( rr(X1)
    | qq(s(X1))
    | pp(X1)
    | p(X1)
    | ~ qq(X1)
    | ~ q(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_685,c_0_351]) ).

cnf(c_0_2115,negated_conjecture,
    ( rr(s(X1))
    | r(s(X1))
    | p(s(s(X1)))
    | ~ q(s(s(s(X1))))
    | ~ pp(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_2104]),c_0_736]) ).

cnf(c_0_2116,negated_conjecture,
    ( rr(s(X1))
    | pp(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2105,c_0_1557]) ).

cnf(c_0_2117,negated_conjecture,
    ( r(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2106,c_0_1557]),c_0_1550]) ).

cnf(c_0_2118,negated_conjecture,
    ( r(s(s(s(X1))))
    | qq(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ qp(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2107,c_0_251]),c_0_240]) ).

cnf(c_0_2119,negated_conjecture,
    ( p(s(X1))
    | ~ qp(X1)
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2108,c_0_2109]),c_0_2110]) ).

cnf(c_0_2120,negated_conjecture,
    ( rr(X1)
    | pp(s(X1))
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_960,c_0_999]),c_0_470]),c_0_360]) ).

cnf(c_0_2121,negated_conjecture,
    ( pp(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_841,c_0_2111]),c_0_842]),c_0_853]) ).

cnf(c_0_2122,negated_conjecture,
    ( rr(X1)
    | qq(s(s(X1)))
    | pp(X1)
    | p(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(s(s(X1))))
    | ~ q(X1)
    | ~ p(s(s(s(X1))))
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2112,c_0_450]),c_0_549]) ).

cnf(c_0_2123,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | p(X1)
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2113,c_0_2114]),c_0_1274]) ).

cnf(c_0_2124,negated_conjecture,
    ( r(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2115,c_0_2116]),c_0_1900]),c_0_2117]) ).

cnf(c_0_2125,negated_conjecture,
    ( r(s(s(s(X1))))
    | r(s(X1))
    | p(s(X1))
    | ~ qp(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_2118]),c_0_2119]) ).

cnf(c_0_2126,negated_conjecture,
    ( pp(X1)
    | ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_2120]),c_0_360]),c_0_2121]) ).

cnf(c_0_2127,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | p(s(s(X1)))
    | p(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(s(s(X1))))
    | ~ q(X1)
    | ~ p(s(s(s(X1))))
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_529,c_0_2122]),c_0_308]) ).

cnf(c_0_2128,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | p(X1)
    | ~ qq(X1)
    | ~ q(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2123,c_0_361]),c_0_436]) ).

cnf(c_0_2129,negated_conjecture,
    ( r(s(X1))
    | p(s(X1))
    | ~ qp(X1)
    | ~ q(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2124,c_0_2125]) ).

cnf(c_0_2130,negated_conjecture,
    ( pp(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_1338]),c_0_248]),c_0_2126]) ).

cnf(c_0_2131,negated_conjecture,
    ( rr(X1)
    | pp(s(X1))
    | pp(X1)
    | p(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(X1)
    | ~ p(s(s(s(X1))))
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2127,c_0_1814]),c_0_2128]) ).

cnf(c_0_2132,negated_conjecture,
    ( q(s(X1))
    | pp(X1)
    | p(s(s(X1)))
    | ~ r(s(X1))
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_1189,c_0_1584]) ).

cnf(c_0_2133,negated_conjecture,
    ( rr(X1)
    | q(s(s(X1)))
    | p(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1461,c_0_549]),c_0_1502]) ).

cnf(c_0_2134,negated_conjecture,
    ( r(s(X1))
    | p(s(X1))
    | ~ qp(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2129,c_0_1014]),c_0_528]) ).

cnf(c_0_2135,negated_conjecture,
    ( pp(X1)
    | p(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_2130,c_0_2109]) ).

cnf(c_0_2136,negated_conjecture,
    ( rr(X1)
    | q(s(s(X1)))
    | pp(X1)
    | p(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(X1)
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2131,c_0_2132]),c_0_549]),c_0_2133]) ).

cnf(c_0_2137,negated_conjecture,
    ( rr(X1)
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1623,c_0_337]) ).

cnf(c_0_2138,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | pp(X1)
    | p(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(X1)
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2134,c_0_2102]),c_0_249]),c_0_2135]) ).

cnf(c_0_2139,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | p(X1)
    | ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2136,c_0_337]),c_0_718]),c_0_2137]) ).

cnf(c_0_2140,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | p(X1)
    | ~ rr(s(X1))
    | ~ r(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2138,c_0_337]),c_0_718]),c_0_2139]) ).

cnf(c_0_2141,negated_conjecture,
    ( r(s(X1))
    | qq(s(X1))
    | pp(X1)
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_653,c_0_406]),c_0_407]) ).

cnf(c_0_2142,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_563,c_0_1998]) ).

cnf(c_0_2143,negated_conjecture,
    ( r(s(X1))
    | p(X1)
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2140,c_0_2092]),c_0_330]),c_0_733]),c_0_313]) ).

cnf(c_0_2144,negated_conjecture,
    ( rr(X1)
    | q(s(X1))
    | pp(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_812,c_0_2132]),c_0_319]) ).

cnf(c_0_2145,negated_conjecture,
    ( r(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1434,c_0_406]),c_0_622]) ).

cnf(c_0_2146,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | qq(s(X1))
    | q(X1)
    | ~ r(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2036,c_0_716]),c_0_392]),c_0_407]) ).

cnf(c_0_2147,negated_conjecture,
    ( r(s(X1))
    | pp(s(X1))
    | pp(X1)
    | p(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_1380,c_0_2141]) ).

cnf(c_0_2148,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | ap(X1)
    | ~ r(s(X1))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2142,c_0_2143]),c_0_335]) ).

cnf(c_0_2149,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1999,c_0_1423]),c_0_1519]) ).

cnf(c_0_2150,negated_conjecture,
    ( rr(s(X1))
    | q(s(s(X1)))
    | pp(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_2144,c_0_249]) ).

cnf(c_0_2151,negated_conjecture,
    ( r(X1)
    | p(X1)
    | pp(X1)
    | rr(s(X1))
    | ~ ar(X1)
    | ~ q(X1)
    | ~ rr(X1) ),
    c180 ).

cnf(c_0_2152,negated_conjecture,
    ( r(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2145,c_0_1096]),c_0_1397]),c_0_407]) ).

cnf(c_0_2153,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | q(X1)
    | pp(s(X1))
    | p(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_1380,c_0_2146]) ).

cnf(c_0_2154,negated_conjecture,
    ( r(s(X1))
    | pp(X1)
    | p(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_2147]),c_0_392]) ).

cnf(c_0_2155,negated_conjecture,
    ( pp(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_2148]),c_0_2149]) ).

cnf(c_0_2156,negated_conjecture,
    ( rr(s(X1))
    | q(s(s(X1)))
    | aq(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2150,c_0_272]),c_0_1500]) ).

cnf(c_0_2157,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | q(X1)
    | ~ q(s(X1))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2088,c_0_275]),c_0_352]),c_0_724]) ).

cnf(c_0_2158,negated_conjecture,
    ( rr(s(X1))
    | r(X1)
    | pp(X1)
    | p(X1)
    | ~ rr(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[c_0_2151,c_0_258]) ).

cnf(c_0_2159,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | q(X1)
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_2145,c_0_2146]) ).

cnf(c_0_2160,negated_conjecture,
    ( r(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2152,c_0_454]),c_0_392]) ).

cnf(c_0_2161,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | pp(X1)
    | p(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_2153]),c_0_392]),c_0_2154]) ).

cnf(c_0_2162,negated_conjecture,
    ( r(s(s(X1)))
    | aq(X1)
    | ap(X1)
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_964,c_0_272]) ).

cnf(c_0_2163,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_589,c_0_2155]) ).

cnf(c_0_2164,negated_conjecture,
    ( rr(s(X1))
    | r(X1)
    | q(s(s(X1)))
    | p(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_565,c_0_2156]) ).

cnf(c_0_2165,negated_conjecture,
    ( rr(X1)
    | qq(s(X1))
    | q(X1)
    | ~ q(s(X1))
    | ~ pp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1286,c_0_2157]) ).

cnf(c_0_2166,negated_conjecture,
    ( r(s(X1))
    | pp(s(X1))
    | p(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1613,c_0_2158]),c_0_457]),c_0_528]) ).

cnf(c_0_2167,negated_conjecture,
    ( rr(s(X1))
    | r(s(X1))
    | qq(s(X1))
    | q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1222,c_0_1911]) ).

cnf(c_0_2168,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | ~ r(s(s(X1)))
    | ~ pp(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2159,c_0_454]),c_0_392]),c_0_2160]) ).

cnf(c_0_2169,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | q(s(s(X1)))
    | pp(X1)
    | p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2161,c_0_1229]),c_0_471]) ).

cnf(c_0_2170,negated_conjecture,
    ( r(s(s(X1)))
    | ap(X1)
    | ~ qq(s(X1))
    | ~ q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_994,c_0_2162]),c_0_651]) ).

cnf(c_0_2171,negated_conjecture,
    ( q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1215,c_0_251]) ).

cnf(c_0_2172,negated_conjecture,
    ( ~ r(X1)
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_1033]),c_0_1034]) ).

cnf(c_0_2173,negated_conjecture,
    ( ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2163,c_0_273]),c_0_1397]) ).

cnf(c_0_2174,negated_conjecture,
    ( q(X1)
    | p(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ qq(s(X1))
    | ~ qq(X1)
    | ~ pp(X1) ),
    inference(spm,[status(thm)],[c_0_1247,c_0_678]) ).

cnf(c_0_2175,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | p(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1064,c_0_2164]),c_0_871]) ).

cnf(c_0_2176,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | ~ q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1023,c_0_2165]),c_0_724]) ).

cnf(c_0_2177,negated_conjecture,
    ( r(s(X1))
    | pp(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2166,c_0_290]),c_0_406]),c_0_395]) ).

cnf(c_0_2178,negated_conjecture,
    ( rr(s(X1))
    | r(s(X1))
    | qq(s(X1))
    | q(s(s(X1)))
    | ~ qq(X1)
    | ~ pp(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_2167,c_0_450]) ).

cnf(c_0_2179,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | q(s(s(X1)))
    | p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2168,c_0_1229]),c_0_471]),c_0_2169]) ).

cnf(c_0_2180,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | r(X1)
    | q(X1)
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2170,c_0_699]),c_0_260]),c_0_739]),c_0_709]) ).

cnf(c_0_2181,negated_conjecture,
    ( q(s(s(s(X1))))
    | pp(s(X1))
    | p(s(s(s(X1))))
    | p(s(X1))
    | ~ r(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2171,c_0_1253]),c_0_1584]) ).

cnf(c_0_2182,negated_conjecture,
    ( p(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ qq(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1375,c_0_801]) ).

cnf(c_0_2183,negated_conjecture,
    ( q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(s(X1))))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1262,c_0_1584]) ).

cnf(c_0_2184,negated_conjecture,
    ( p(X1)
    | ~ r(X1)
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2172,c_0_2109]) ).

cnf(c_0_2185,negated_conjecture,
    ( p(s(s(X1)))
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2173,c_0_1275]) ).

cnf(c_0_2186,negated_conjecture,
    ( q(s(s(X1)))
    | q(X1)
    | p(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ qq(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1247,c_0_2156]),c_0_2174]) ).

cnf(c_0_2187,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | q(X1)
    | p(X1)
    | ap(X1)
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1169,c_0_1941]),c_0_2175]) ).

cnf(c_0_2188,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | q(s(s(X1)))
    | q(X1)
    | p(X1)
    | ap(X1) ),
    inference(spm,[status(thm)],[c_0_718,c_0_1941]) ).

cnf(c_0_2189,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | ~ q(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2176,c_0_454]),c_0_1047]) ).

cnf(c_0_2190,negated_conjecture,
    ( r(s(X1))
    | pp(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_2177,c_0_895]) ).

cnf(c_0_2191,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | qq(s(X1))
    | q(s(s(X1)))
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_685,c_0_2178]),c_0_2179]) ).

cnf(c_0_2192,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | r(X1)
    | q(X1)
    | ap(X1)
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ pp(X1) ),
    inference(spm,[status(thm)],[c_0_2180,c_0_454]) ).

cnf(c_0_2193,negated_conjecture,
    ( q(s(s(X1)))
    | pp(s(X1))
    | p(s(s(s(X1))))
    | p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1262,c_0_2181]),c_0_528]) ).

cnf(c_0_2194,negated_conjecture,
    ( q(s(s(X1)))
    | pp(s(X1))
    | p(s(X1))
    | ~ rr(s(X1))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2182,c_0_2183]),c_0_528]) ).

cnf(c_0_2195,negated_conjecture,
    ( p(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2184,c_0_2185]),c_0_1397]) ).

cnf(c_0_2196,negated_conjecture,
    ( qq(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_281,c_0_431]) ).

cnf(c_0_2197,negated_conjecture,
    ( qq(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1346,c_0_790]) ).

cnf(c_0_2198,negated_conjecture,
    ( q(s(s(X1)))
    | q(X1)
    | p(X1)
    | ap(X1)
    | ~ qq(s(X1))
    | ~ qq(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2174,c_0_1941]),c_0_2186]) ).

cnf(c_0_2199,negated_conjecture,
    ( qq(s(X1))
    | p(X1)
    | ~ rr(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1375,c_0_887]) ).

cnf(c_0_2200,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | p(X1)
    | ap(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2187,c_0_1473]),c_0_1942]),c_0_871]) ).

cnf(c_0_2201,negated_conjecture,
    ( rr(X1)
    | q(X1)
    | p(X1)
    | ap(X1)
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_982,c_0_2188]),c_0_2189]) ).

cnf(c_0_2202,negated_conjecture,
    ( r(s(X1))
    | pp(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_2190]),c_0_392]) ).

cnf(c_0_2203,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | q(s(s(X1)))
    | q(X1)
    | p(X1)
    | ap(X1)
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_731,c_0_2191]) ).

cnf(c_0_2204,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | q(X1)
    | ap(X1)
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_2192]),c_0_1217]) ).

cnf(c_0_2205,negated_conjecture,
    ( q(s(s(X1)))
    | pp(s(X1))
    | p(s(X1))
    | ~ rr(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1832,c_0_2193]),c_0_528]),c_0_2194]) ).

cnf(c_0_2206,negated_conjecture,
    ( p(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_2195,c_0_249]) ).

cnf(c_0_2207,negated_conjecture,
    ( ~ r(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2196,c_0_2197]),c_0_994]) ).

cnf(c_0_2208,negated_conjecture,
    ( q(s(s(X1)))
    | q(X1)
    | p(X1)
    | ap(X1)
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2198,c_0_2199]),c_0_2200]),c_0_2201]) ).

cnf(c_0_2209,negated_conjecture,
    ( r(s(X1))
    | q(s(s(X1)))
    | pp(X1)
    | p(X1)
    | ap(X1)
    | ~ rr(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2202,c_0_1150]),c_0_313]) ).

cnf(c_0_2210,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | q(X1)
    | p(X1)
    | ap(X1)
    | ~ qq(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2203,c_0_454]),c_0_2204]) ).

cnf(c_0_2211,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | q(s(s(X1)))
    | pp(X1)
    | p(X1)
    | ap(X1)
    | ~ rr(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1827,c_0_1150]),c_0_330]) ).

cnf(c_0_2212,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | p(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1813,c_0_2181]),c_0_1832]) ).

cnf(c_0_2213,negated_conjecture,
    ( q(s(s(X1)))
    | pp(s(X1))
    | p(s(X1))
    | ~ rr(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2205,c_0_580]) ).

cnf(c_0_2214,negated_conjecture,
    ( q(s(s(X1)))
    | q(X1)
    | p(X1)
    | ap(X1)
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_982,c_0_1982]) ).

cnf(c_0_2215,negated_conjecture,
    ( ~ r(s(s(s(X1))))
    | ~ q(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2206,c_0_255]),c_0_2207]) ).

cnf(c_0_2216,negated_conjecture,
    ( q(s(X1))
    | p(X1)
    | ap(X1)
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_724,c_0_2208]),c_0_1942]) ).

cnf(c_0_2217,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | pp(X1)
    | p(X1)
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_2209]),c_0_2004]) ).

cnf(c_0_2218,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | q(s(X1))
    | p(s(X1))
    | ~ qq(s(X1))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_322,c_0_2210]) ).

cnf(c_0_2219,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | q(s(X1))
    | pp(X1)
    | p(X1)
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_470,c_0_2211]),c_0_2004]) ).

cnf(c_0_2220,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | q(s(s(X1)))
    | pp(X1)
    | p(s(X1))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2021,c_0_629]),c_0_670]) ).

cnf(c_0_2221,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2212,c_0_580]) ).

cnf(c_0_2222,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | q(X1)
    | p(s(X1))
    | ~ rr(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_709,c_0_2213]) ).

cnf(c_0_2223,negated_conjecture,
    ( q(s(X1))
    | p(X1)
    | ap(X1)
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_724,c_0_2214]),c_0_1942]) ).

cnf(c_0_2224,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_2215,c_0_500]) ).

cnf(c_0_2225,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | p(X1)
    | ap(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2216,c_0_484]),c_0_2217]) ).

cnf(c_0_2226,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | q(s(X1))
    | p(s(X1))
    | ~ qq(s(X1))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_2218]),c_0_1328]) ).

cnf(c_0_2227,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(X1))
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2194,c_0_2014]),c_0_1786]) ).

cnf(c_0_2228,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_322,c_0_2219]) ).

cnf(c_0_2229,negated_conjecture,
    ( rr(X1)
    | r(X1)
    | qq(X1)
    | q(s(s(X1)))
    | p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2021,c_0_1072]),c_0_2220]),c_0_439]),c_0_496]) ).

cnf(c_0_2230,negated_conjecture,
    ( pp(s(X1))
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1933,c_0_2221]),c_0_2190]) ).

cnf(c_0_2231,negated_conjecture,
    ( r(X1)
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1502,c_0_2213]),c_0_2222]),c_0_1597]) ).

cnf(c_0_2232,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | p(X1)
    | ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2223,c_0_484]),c_0_2217]) ).

cnf(c_0_2233,negated_conjecture,
    ( ~ r(s(s(s(X1))))
    | ~ q(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2224,c_0_251]) ).

cnf(c_0_2234,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | p(s(X1))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_322,c_0_2225]) ).

cnf(c_0_2235,negated_conjecture,
    ( q(s(X1))
    | p(X1)
    | ~ r(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_724,c_0_2109]) ).

cnf(c_0_2236,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | q(s(X1))
    | p(s(X1))
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_2226,c_0_1050]) ).

cnf(c_0_2237,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | pp(s(X1))
    | p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2227,c_0_2228]),c_0_1786]) ).

cnf(c_0_2238,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(X1)
    | q(s(s(X1)))
    | p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_742,c_0_1141]),c_0_2229]),c_0_736]),c_0_1144]) ).

cnf(c_0_2239,negated_conjecture,
    ( p(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_2230]),c_0_2231]) ).

cnf(c_0_2240,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_322,c_0_2232]) ).

cnf(c_0_2241,negated_conjecture,
    ( p(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ q(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2233,c_0_2143]) ).

cnf(c_0_2242,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | p(s(X1))
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2234,c_0_903]) ).

cnf(c_0_2243,negated_conjecture,
    ( rr(X1)
    | q(s(s(X1)))
    | p(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1461,c_0_2013]) ).

cnf(c_0_2244,negated_conjecture,
    ( q(s(s(X1)))
    | pp(s(X1))
    | p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2235,c_0_2193]),c_0_528]) ).

cnf(c_0_2245,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | q(s(s(X1)))
    | p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2236,c_0_2237]),c_0_2238]),c_0_1942]) ).

cnf(c_0_2246,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(X1))
    | ~ rr(X1)
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2239,c_0_2240]) ).

cnf(c_0_2247,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2241,c_0_1942]),c_0_1519]) ).

cnf(c_0_2248,negated_conjecture,
    ( q(s(s(X1)))
    | pp(X1)
    | p(s(X1))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1578,c_0_2242]),c_0_1178]),c_0_1942]) ).

cnf(c_0_2249,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(X1))
    | ~ q(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2243,c_0_2244]),c_0_2245]),c_0_2246]) ).

cnf(c_0_2250,negated_conjecture,
    ( ~ r(s(X1))
    | ~ q(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2247,c_0_273]) ).

cnf(c_0_2251,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(X1))
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1183,c_0_2244]),c_0_2248]),c_0_495]),c_0_2249]) ).

cnf(c_0_2252,negated_conjecture,
    ( p(s(X1))
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2250,c_0_1942]) ).

cnf(c_0_2253,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | q(s(s(X1)))
    | p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2021,c_0_2244]) ).

cnf(c_0_2254,negated_conjecture,
    ( p(s(X1))
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2250,c_0_2251]) ).

cnf(c_0_2255,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ q(s(s(X1)))
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2252,c_0_249]),c_0_1519]) ).

cnf(c_0_2256,negated_conjecture,
    ( rr(X1)
    | p(s(X1))
    | ~ r(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2250,c_0_2253]),c_0_2254]) ).

cnf(c_0_2257,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ q(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2255,c_0_272]),c_0_2247]),c_0_2224]) ).

cnf(c_0_2258,negated_conjecture,
    ( rr(s(X1))
    | p(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_2256,c_0_249]) ).

cnf(c_0_2259,negated_conjecture,
    ( p(s(X1))
    | ~ r(s(X1))
    | ~ q(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_2257,c_0_2143]) ).

cnf(c_0_2260,negated_conjecture,
    ( rr(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2258,c_0_255]),c_0_1307]) ).

cnf(c_0_2261,negated_conjecture,
    ( p(s(X1))
    | ~ r(s(X1))
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_2259,c_0_1942]) ).

cnf(c_0_2262,negated_conjecture,
    ( p(s(X1))
    | ~ q(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2252,c_0_317]),c_0_651]) ).

cnf(c_0_2263,negated_conjecture,
    ( q(s(X1))
    | p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_2260]),c_0_1146]) ).

cnf(c_0_2264,negated_conjecture,
    ( rr(s(X1))
    | q(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2150,c_0_258]),c_0_1459]) ).

cnf(c_0_2265,negated_conjecture,
    ( p(s(X1))
    | ~ r(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2261,c_0_2143]),c_0_2262]) ).

cnf(c_0_2266,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2263,c_0_251]) ).

cnf(c_0_2267,negated_conjecture,
    ( q(s(s(X1)))
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ qq(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_884,c_0_2264]),c_0_1476]) ).

cnf(c_0_2268,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | p(X1)
    | ~ r(s(X1))
    | ~ q(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_351]),c_0_449]) ).

cnf(c_0_2269,negated_conjecture,
    ( p(s(s(X1)))
    | ~ r(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2265,c_0_2266]) ).

cnf(c_0_2270,negated_conjecture,
    ( p(X1)
    | ap(X1)
    | ~ rr(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ qq(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_873,c_0_1656]),c_0_2267]) ).

cnf(c_0_2271,negated_conjecture,
    ( rr(X1)
    | pp(X1)
    | p(X1)
    | ~ r(s(s(X1)))
    | ~ q(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2036,c_0_351]),c_0_2268]) ).

cnf(c_0_2272,negated_conjecture,
    ( qq(s(X1))
    | p(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_978,c_0_949]),c_0_499]) ).

cnf(c_0_2273,negated_conjecture,
    ( p(s(X1))
    | ~ r(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_858,c_0_2269]) ).

cnf(c_0_2274,negated_conjecture,
    ( p(X1)
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ qq(X1)
    | ~ q(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_2270,c_0_1376]) ).

cnf(c_0_2275,negated_conjecture,
    ( rr(s(X1))
    | p(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1018,c_0_1131]),c_0_2271]),c_0_1146]),c_0_2272]) ).

cnf(c_0_2276,negated_conjecture,
    ( p(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_2273,c_0_249]) ).

cnf(c_0_2277,negated_conjecture,
    ( p(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2274,c_0_465]),c_0_1146]),c_0_2272]),c_0_2275]),c_0_320]) ).

cnf(c_0_2278,negated_conjecture,
    ( p(s(s(s(X1))))
    | ~ r(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_2276,c_0_255]) ).

cnf(c_0_2279,negated_conjecture,
    ( p(X1)
    | ~ r(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2184,c_0_2269]),c_0_376]) ).

cnf(c_0_2280,negated_conjecture,
    ( p(s(X1))
    | ~ r(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_2277,c_0_500]) ).

cnf(c_0_2281,negated_conjecture,
    ( p(s(s(s(X1))))
    | ~ r(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_2278,c_0_500]) ).

cnf(c_0_2282,negated_conjecture,
    ( r(s(X1))
    | q(X1)
    | p(s(s(X1)))
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1895,c_0_707]) ).

cnf(c_0_2283,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(s(X1))
    | ~ pp(s(X1))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_787,c_0_1459]),c_0_761]) ).

cnf(c_0_2284,negated_conjecture,
    ( p(s(X1))
    | ~ r(s(s(X1)))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_2279,c_0_249]) ).

cnf(c_0_2285,negated_conjecture,
    ( p(s(X1))
    | ~ r(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_2280,c_0_2281]) ).

cnf(c_0_2286,negated_conjecture,
    ( r(s(X1))
    | ~ rr(X1)
    | ~ qq(X1)
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_952,c_0_2074]),c_0_1383]) ).

cnf(c_0_2287,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | q(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1056,c_0_2282]) ).

cnf(c_0_2288,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2283,c_0_1075]),c_0_1361]) ).

cnf(c_0_2289,negated_conjecture,
    ( p(s(X1))
    | ap(X1)
    | ~ r(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2284,c_0_272]),c_0_2285]) ).

cnf(c_0_2290,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_935,c_0_500]),c_0_936]),c_0_320]) ).

cnf(c_0_2291,negated_conjecture,
    ( r(s(X1))
    | q(X1)
    | ~ rr(X1)
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2286,c_0_2282]),c_0_2287]) ).

cnf(c_0_2292,negated_conjecture,
    ( r(s(X1))
    | qq(s(X1))
    | q(s(s(s(X1))))
    | q(s(X1))
    | ~ rr(s(X1))
    | ~ pp(s(X1))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1881,c_0_2023]) ).

cnf(c_0_2293,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2288,c_0_454]),c_0_1361]),c_0_376]) ).

cnf(c_0_2294,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_949]),c_0_320]) ).

cnf(c_0_2295,negated_conjecture,
    ( p(s(X1))
    | ~ r(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2289,c_0_2143]),c_0_2273]) ).

cnf(c_0_2296,negated_conjecture,
    ( p(s(X1))
    | ~ r(X1)
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_2265,c_0_595]) ).

cnf(c_0_2297,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1679,c_0_500]),c_0_320]),c_0_2290]) ).

cnf(c_0_2298,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | aq(X1)
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_925,c_0_272]),c_0_1063]) ).

cnf(c_0_2299,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(X1))
    | ~ rr(s(X1))
    | ~ p(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_2291,c_0_249]) ).

cnf(c_0_2300,negated_conjecture,
    ( r(s(X1))
    | qq(s(X1))
    | q(s(s(X1)))
    | ~ rr(s(X1))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1166,c_0_2292]),c_0_528]),c_0_342]) ).

cnf(c_0_2301,negated_conjecture,
    ( r(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1189,c_0_2293]),c_0_622]) ).

cnf(c_0_2302,negated_conjecture,
    ( qq(s(X1))
    | pp(s(X1))
    | ~ r(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_2294,c_0_500]) ).

cnf(c_0_2303,negated_conjecture,
    ( p(s(X1))
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2295,c_0_1217]),c_0_2296]) ).

cnf(c_0_2304,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ pp(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_2297,c_0_2281]) ).

cnf(c_0_2305,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | q(s(X1))
    | pp(X1)
    | ~ rr(X1)
    | ~ qq(s(X1)) ),
    inference(spm,[status(thm)],[c_0_676,c_0_431]) ).

cnf(c_0_2306,negated_conjecture,
    ( r(X1)
    | qq(s(X1))
    | qq(X1)
    | pp(s(X1))
    | ap(X1)
    | ~ r(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_673,c_0_2298]),c_0_1149]),c_0_454]) ).

cnf(c_0_2307,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(X1))
    | aq(X1)
    | ap(X1)
    | ~ rr(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2299,c_0_272]),c_0_1038]) ).

cnf(c_0_2308,negated_conjecture,
    ( r(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2300,c_0_406]),c_0_2177]),c_0_622]),c_0_2301]) ).

cnf(c_0_2309,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2302,c_0_2303]),c_0_2304]) ).

cnf(c_0_2310,negated_conjecture,
    ( ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1519,c_0_1390]),c_0_853]) ).

cnf(c_0_2311,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_2295,c_0_1229]) ).

cnf(c_0_2312,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | pp(s(X1))
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2305,c_0_2306]),c_0_454]),c_0_1063]) ).

cnf(c_0_2313,negated_conjecture,
    ( r(s(s(X1)))
    | r(X1)
    | qq(X1)
    | q(s(X1))
    | pp(X1)
    | ap(X1)
    | ~ rr(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_676,c_0_2307]),c_0_1117]) ).

cnf(c_0_2314,negated_conjecture,
    ( r(X1)
    | q(s(s(X1)))
    | p(X1)
    | ap(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1149,c_0_1958]) ).

cnf(c_0_2315,negated_conjecture,
    ( r(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_2308,c_0_895]) ).

cnf(c_0_2316,negated_conjecture,
    ( qq(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2309,c_0_251]) ).

cnf(c_0_2317,negated_conjecture,
    ( p(X1)
    | ~ r(X1) ),
    inference(spm,[status(thm)],[c_0_858,c_0_2303]) ).

cnf(c_0_2318,negated_conjecture,
    ( qq(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ q(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1889,c_0_887]),c_0_2310]) ).

cnf(c_0_2319,negated_conjecture,
    ( p(s(s(X1)))
    | ~ r(s(X1)) ),
    inference(spm,[status(thm)],[c_0_2265,c_0_2311]) ).

cnf(c_0_2320,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | pp(X1)
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_563,c_0_2312]) ).

cnf(c_0_2321,negated_conjecture,
    ( r(s(s(X1)))
    | r(X1)
    | qq(X1)
    | q(s(X1))
    | pp(X1)
    | ap(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2313,c_0_729]),c_0_1117]),c_0_669]) ).

cnf(c_0_2322,negated_conjecture,
    ( r(X1)
    | q(s(X1))
    | p(X1)
    | ap(X1)
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_724,c_0_2314]) ).

cnf(c_0_2323,negated_conjecture,
    ( r(s(X1))
    | q(s(s(X1)))
    | p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2315,c_0_1229]),c_0_2179]) ).

cnf(c_0_2324,negated_conjecture,
    ( ~ r(s(s(s(X1))))
    | ~ r(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_750,c_0_2316]),c_0_2317]) ).

cnf(c_0_2325,negated_conjecture,
    ( r(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1399,c_0_2318]),c_0_761]) ).

cnf(c_0_2326,negated_conjecture,
    ( r(X1)
    | ~ rr(X1)
    | ~ r(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1391,c_0_2319]) ).

cnf(c_0_2327,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | q(s(X1))
    | pp(X1)
    | ap(X1)
    | ~ rr(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2320,c_0_2321]),c_0_2322]) ).

cnf(c_0_2328,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | p(s(s(X1)))
    | ap(X1) ),
    inference(spm,[status(thm)],[c_0_470,c_0_2323]) ).

cnf(c_0_2329,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2324,c_0_2325]),c_0_2326]) ).

cnf(c_0_2330,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | q(s(X1))
    | pp(X1)
    | ap(X1)
    | ~ rr(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2327,c_0_2328]),c_0_761]) ).

cnf(c_0_2331,negated_conjecture,
    ( ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2329,c_0_580]) ).

cnf(c_0_2332,negated_conjecture,
    ( r(s(X1))
    | qq(X1)
    | q(s(X1))
    | pp(X1)
    | ~ rr(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2079,c_0_2330]),c_0_1101]) ).

cnf(c_0_2333,negated_conjecture,
    ( ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2331,c_0_903]) ).

cnf(c_0_2334,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | ~ r(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1689,c_0_2109]),c_0_1090]) ).

cnf(c_0_2335,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | pp(s(X1))
    | ~ rr(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2332,c_0_580]) ).

cnf(c_0_2336,negated_conjecture,
    ( ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2333,c_0_273]) ).

cnf(c_0_2337,negated_conjecture,
    ( pp(X1)
    | p(X1)
    | ~ r(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2126,c_0_2109]),c_0_1090]) ).

cnf(c_0_2338,negated_conjecture,
    ( p(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_1405,c_0_2319]) ).

cnf(c_0_2339,negated_conjecture,
    ( rr(X1)
    | p(X1)
    | ~ r(s(X1)) ),
    inference(spm,[status(thm)],[c_0_2334,c_0_2319]) ).

cnf(c_0_2340,negated_conjecture,
    ( qq(s(X1))
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(s(X1))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1732,c_0_283]),c_0_675]),c_0_1745]),c_0_1977]) ).

cnf(c_0_2341,negated_conjecture,
    ( r(s(s(X1)))
    | qq(X1)
    | q(s(s(X1)))
    | pp(s(X1))
    | ~ rr(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_586,c_0_2335]) ).

cnf(c_0_2342,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_2336,c_0_249]) ).

cnf(c_0_2343,negated_conjecture,
    ( qq(X1)
    | ap(X1)
    | ~ r(s(X1))
    | ~ pp(X1) ),
    inference(spm,[status(thm)],[c_0_1704,c_0_2303]) ).

cnf(c_0_2344,negated_conjecture,
    ( pp(X1)
    | p(X1)
    | ~ r(s(X1)) ),
    inference(spm,[status(thm)],[c_0_2337,c_0_2319]) ).

cnf(c_0_2345,negated_conjecture,
    ( p(X1)
    | ~ r(s(X1))
    | ~ qq(X1) ),
    inference(spm,[status(thm)],[c_0_2338,c_0_2339]) ).

cnf(c_0_2346,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | ~ r(s(X1))
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_978,c_0_882]),c_0_290]),c_0_410]),c_0_983]) ).

cnf(c_0_2347,negated_conjecture,
    ( qq(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(s(X1))
    | ~ pp(s(X1))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1569,c_0_2340]),c_0_1757]) ).

cnf(c_0_2348,negated_conjecture,
    ( qq(X1)
    | pp(X1)
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_769,c_0_1413]),c_0_1329]),c_0_560]) ).

cnf(c_0_2349,negated_conjecture,
    ( r(s(s(s(X1))))
    | qq(s(s(X1)))
    | q(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2040,c_0_251]) ).

cnf(c_0_2350,negated_conjecture,
    ( r(s(s(X1)))
    | qq(X1)
    | q(s(s(X1)))
    | p(X1)
    | ~ rr(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_930,c_0_2341]),c_0_1958]),c_0_2099]) ).

cnf(c_0_2351,negated_conjecture,
    ( r(s(s(s(X1))))
    | q(s(s(s(X1))))
    | ~ rr(s(X1))
    | ~ r(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2091,c_0_801]) ).

cnf(c_0_2352,negated_conjecture,
    ( ~ rr(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_2342,c_0_255]) ).

cnf(c_0_2353,negated_conjecture,
    ( p(X1)
    | ~ r(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2279,c_0_2343]),c_0_2344]),c_0_2345]) ).

cnf(c_0_2354,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ r(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_962,c_0_2281]) ).

cnf(c_0_2355,negated_conjecture,
    ( r(X1)
    | qq(X1)
    | ~ r(s(X1)) ),
    inference(spm,[status(thm)],[c_0_2346,c_0_2319]) ).

cnf(c_0_2356,negated_conjecture,
    ( qq(X1)
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2347,c_0_454]),c_0_2348]) ).

cnf(c_0_2357,negated_conjecture,
    ( r(s(s(s(X1))))
    | qq(s(X1))
    | q(s(s(s(X1))))
    | ~ rr(s(X1))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1825,c_0_2349]),c_0_2350]),c_0_2351]) ).

cnf(c_0_2358,negated_conjecture,
    ( ~ r(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2352,c_0_790]),c_0_2353]) ).

cnf(c_0_2359,negated_conjecture,
    ( qq(s(X1))
    | ~ r(s(s(X1)))
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2354,c_0_450]),c_0_2355]) ).

cnf(c_0_2360,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2224,c_0_1656]),c_0_2149]) ).

cnf(c_0_2361,negated_conjecture,
    ( qq(X1)
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2356,c_0_1787]),c_0_622]),c_0_1604]) ).

cnf(c_0_2362,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(s(X1))))
    | ~ rr(s(X1))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2315,c_0_2357]) ).

cnf(c_0_2363,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | ap(X1)
    | ~ rr(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2040,c_0_1086]),c_0_871]) ).

cnf(c_0_2364,negated_conjecture,
    ( ~ r(s(s(s(X1))))
    | ~ qq(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_2358,c_0_2359]) ).

cnf(c_0_2365,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | qq(s(X1))
    | q(s(X1))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1927,c_0_300]),c_0_583]) ).

cnf(c_0_2366,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(X1))
    | ~ rr(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_886,c_0_885]),c_0_1229]),c_0_1096]),c_0_583]) ).

cnf(c_0_2367,negated_conjecture,
    ( ~ rr(X1)
    | ~ r(s(s(X1)))
    | ~ q(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2255,c_0_258]),c_0_2360]) ).

cnf(c_0_2368,negated_conjecture,
    ( pp(X1)
    | ap(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_2126,c_0_871]) ).

cnf(c_0_2369,negated_conjecture,
    ( qq(X1)
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(X1)
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1915,c_0_595]) ).

cnf(c_0_2370,negated_conjecture,
    ( qq(X1)
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ pp(X1) ),
    inference(spm,[status(thm)],[c_0_1704,c_0_2361]) ).

cnf(c_0_2371,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | ~ rr(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1262,c_0_2362]),c_0_2363]),c_0_2332]) ).

cnf(c_0_2372,negated_conjecture,
    ( rr(s(X1))
    | r(s(X1))
    | q(X1)
    | p(X1)
    | ~ rr(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_258]),c_0_253]) ).

cnf(c_0_2373,negated_conjecture,
    ( q(s(X1))
    | ~ r(X1)
    | ~ qq(s(X1))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_386,c_0_300]) ).

cnf(c_0_2374,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2364,c_0_500]),c_0_2309]) ).

cnf(c_0_2375,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(X1))
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1070,c_0_2365]),c_0_2366]) ).

cnf(c_0_2376,negated_conjecture,
    ( ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ q(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_2367,c_0_2325]) ).

cnf(c_0_2377,negated_conjecture,
    ( qq(X1)
    | ap(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2368,c_0_2369]),c_0_622]),c_0_2370]) ).

cnf(c_0_2378,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | q(X1)
    | p(X1)
    | ~ rr(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2371,c_0_2372]),c_0_761]) ).

cnf(c_0_2379,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(X1))
    | ~ rr(X1)
    | ~ q(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2373,c_0_2366]),c_0_1087]) ).

cnf(c_0_2380,negated_conjecture,
    ( q(s(X1))
    | ~ r(s(s(X1)))
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_2374,c_0_300]) ).

cnf(c_0_2381,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(X1))
    | ~ r(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2373,c_0_2375]),c_0_1942]) ).

cnf(c_0_2382,negated_conjecture,
    ( rr(X1)
    | ap(X1)
    | ~ r(s(X1))
    | ~ q(s(X1))
    | ~ p(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_1689,c_0_871]) ).

cnf(c_0_2383,negated_conjecture,
    ( ap(X1)
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2376,c_0_871]),c_0_2377]) ).

cnf(c_0_2384,negated_conjecture,
    ( r(s(s(X1)))
    | qq(s(X1))
    | q(s(s(X1)))
    | pp(X1)
    | p(X1)
    | ~ rr(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2371,c_0_2158]),c_0_2378]),c_0_2099]) ).

cnf(c_0_2385,negated_conjecture,
    ( q(s(X1))
    | ~ rr(X1)
    | ~ q(X1)
    | ~ pp(X1)
    | ~ p(s(s(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1403,c_0_2379]),c_0_578]) ).

cnf(c_0_2386,negated_conjecture,
    ( q(s(X1))
    | ~ r(X1)
    | ~ q(X1) ),
    inference(spm,[status(thm)],[c_0_2380,c_0_2381]) ).

cnf(c_0_2387,negated_conjecture,
    ( ap(X1)
    | ~ r(s(X1))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2382,c_0_2296]),c_0_2383]) ).

cnf(c_0_2388,negated_conjecture,
    ( r(s(s(X1)))
    | qq(X1)
    | q(s(s(X1)))
    | p(X1)
    | ~ rr(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_574,c_0_2384]),c_0_2350]),c_0_2099]) ).

cnf(c_0_2389,negated_conjecture,
    ( q(s(X1))
    | ~ rr(X1)
    | ~ q(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2385,c_0_864]),c_0_595]) ).

cnf(c_0_2390,negated_conjecture,
    ( ~ r(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2374,c_0_251]) ).

cnf(c_0_2391,negated_conjecture,
    ( ~ r(s(X1))
    | ~ q(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2250,c_0_2386]),c_0_2387]) ).

cnf(c_0_2392,negated_conjecture,
    ( r(s(s(X1)))
    | r(X1)
    | qq(s(X1))
    | q(s(s(X1)))
    | q(X1)
    | ~ rr(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2371,c_0_729]),c_0_2388]),c_0_2052]) ).

cnf(c_0_2393,negated_conjecture,
    ( r(s(X1))
    | q(s(X1))
    | ~ rr(X1)
    | ~ q(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_2330]),c_0_2389]),c_0_919]) ).

cnf(c_0_2394,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2390,c_0_1217]),c_0_2391]) ).

cnf(c_0_2395,negated_conjecture,
    ( ~ r(s(s(s(X1))))
    | ~ pp(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1637,c_0_251]) ).

cnf(c_0_2396,negated_conjecture,
    ( r(s(s(X1)))
    | r(X1)
    | qq(X1)
    | q(s(s(X1)))
    | q(X1)
    | ~ rr(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1825,c_0_2392]),c_0_2388]) ).

cnf(c_0_2397,negated_conjecture,
    ( r(s(s(X1)))
    | q(s(s(X1)))
    | ~ rr(X1)
    | ~ q(s(X1)) ),
    inference(spm,[status(thm)],[c_0_2393,c_0_920]) ).

cnf(c_0_2398,negated_conjecture,
    ( ~ r(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2394,c_0_273]) ).

cnf(c_0_2399,negated_conjecture,
    ( r(s(X1))
    | qq(s(X1))
    | ~ rr(s(X1))
    | ~ r(s(s(s(X1))))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2395,c_0_2312]),c_0_322]) ).

cnf(c_0_2400,negated_conjecture,
    ( r(s(s(X1)))
    | r(X1)
    | qq(X1)
    | q(s(s(X1)))
    | ~ rr(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2305,c_0_2392]),c_0_2396]),c_0_1087]),c_0_2397]) ).

cnf(c_0_2401,negated_conjecture,
    ( ~ r(s(s(X1)))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_2398,c_0_249]) ).

cnf(c_0_2402,negated_conjecture,
    ( r(s(X1))
    | qq(s(X1))
    | q(s(s(s(X1))))
    | ~ rr(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2399,c_0_2400]) ).

cnf(c_0_2403,negated_conjecture,
    ~ r(s(s(X1))),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2401,c_0_272]),c_0_2394]),c_0_2374]) ).

cnf(c_0_2404,negated_conjecture,
    ( r(s(X1))
    | q(s(s(X1)))
    | ~ rr(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_724,c_0_2402]),c_0_2064]) ).

cnf(c_0_2405,negated_conjecture,
    ( p(s(s(s(X1))))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_501,c_0_251]) ).

cnf(c_0_2406,negated_conjecture,
    ~ r(s(X1)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2403,c_0_1217]),c_0_2391]) ).

cnf(c_0_2407,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(s(X1))))
    | r(s(X1))
    | q(s(s(X1)))
    | pp(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_1251]),c_0_322]) ).

cnf(c_0_2408,negated_conjecture,
    ( r(s(X1))
    | q(s(s(X1)))
    | ~ rr(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2404,c_0_2405]),c_0_2323]) ).

cnf(c_0_2409,negated_conjecture,
    ( rr(s(X1))
    | q(s(s(X1)))
    | pp(s(X1))
    | ~ ap(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2406,c_0_2407]),c_0_2406]) ).

cnf(c_0_2410,negated_conjecture,
    ( q(s(s(X1)))
    | pp(s(X1))
    | ~ ap(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2408,c_0_2409]),c_0_2406]) ).

cnf(c_0_2411,negated_conjecture,
    ( q(X1)
    | ~ r(X1) ),
    inference(spm,[status(thm)],[c_0_2406,c_0_1217]) ).

cnf(c_0_2412,negated_conjecture,
    ( q(s(s(X1)))
    | q(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_709,c_0_2410]),c_0_2411]) ).

cnf(c_0_2413,negated_conjecture,
    ( q(X1)
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1047,c_0_2412]) ).

cnf(c_0_2414,negated_conjecture,
    ( q(X1)
    | p(s(s(X1)))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_1895,c_0_2311]) ).

cnf(c_0_2415,negated_conjecture,
    ( q(X1)
    | ~ p(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2413,c_0_2414]) ).

cnf(c_0_2416,negated_conjecture,
    ( q(s(X1))
    | p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_458,c_0_2406]),c_0_595]),c_0_2303]) ).

cnf(c_0_2417,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | r(X1)
    | qq(X1)
    | p(X1)
    | ap(X1)
    | ~ q(X1)
    | ~ pp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_574,c_0_2046]) ).

cnf(c_0_2418,negated_conjecture,
    ( q(s(X1))
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2415,c_0_249]),c_0_2416]) ).

cnf(c_0_2419,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | r(X1)
    | qq(X1)
    | p(X1)
    | ap(X1)
    | ~ q(X1)
    | ~ pp(X1) ),
    inference(spm,[status(thm)],[c_0_2417,c_0_454]) ).

cnf(c_0_2420,negated_conjecture,
    ( q(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_2418,c_0_255]) ).

cnf(c_0_2421,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | qq(X1)
    | p(X1)
    | ap(X1)
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_622,c_0_2419]),c_0_330]) ).

cnf(c_0_2422,negated_conjecture,
    ( q(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2420,c_0_251]) ).

cnf(c_0_2423,negated_conjecture,
    ( rr(X1)
    | r(s(X1))
    | qq(X1)
    | p(X1)
    | ap(X1)
    | ~ q(X1)
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2421,c_0_871]),c_0_578]) ).

cnf(c_0_2424,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | qq(s(X1))
    | q(X1)
    | p(s(X1))
    | ~ q(s(X1))
    | ~ pp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_608,c_0_275]) ).

cnf(c_0_2425,negated_conjecture,
    ( q(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1262,c_0_2422]) ).

cnf(c_0_2426,negated_conjecture,
    ( rr(s(X1))
    | r(s(s(X1)))
    | qq(s(X1))
    | p(s(X1))
    | ~ q(s(X1))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_322,c_0_2423]) ).

cnf(c_0_2427,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(s(X1))
    | q(X1)
    | p(s(X1))
    | ~ q(s(X1))
    | ~ pp(s(X1)) ),
    inference(spm,[status(thm)],[c_0_1286,c_0_2424]) ).

cnf(c_0_2428,negated_conjecture,
    ( q(X1)
    | p(s(X1))
    | ~ q(s(X1))
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_291,c_0_317]) ).

cnf(c_0_2429,negated_conjecture,
    ( q(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2073,c_0_2425]),c_0_2416]) ).

cnf(c_0_2430,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(s(X1))
    | p(s(X1))
    | ~ q(s(X1))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_523,c_0_2426]),c_0_727]) ).

cnf(c_0_2431,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | r(X1)
    | q(X1)
    | p(s(X1))
    | ~ q(s(X1))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1537,c_0_2427]),c_0_2428]) ).

cnf(c_0_2432,negated_conjecture,
    ( q(s(X1))
    | aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2418,c_0_272]),c_0_2429]) ).

cnf(c_0_2433,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(X1)
    | p(s(X1))
    | ~ q(s(X1))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_2430]),c_0_742]) ).

cnf(c_0_2434,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | r(X1)
    | q(X1)
    | p(s(X1))
    | ~ q(s(X1))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2431,c_0_454]),c_0_291]) ).

cnf(c_0_2435,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(s(X1))
    | p(s(X1))
    | ~ r(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_523,c_0_1127]) ).

cnf(c_0_2436,negated_conjecture,
    ( q(s(X1))
    | ~ q(s(s(X1))) ),
    inference(spm,[status(thm)],[c_0_457,c_0_2432]) ).

cnf(c_0_2437,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | r(X1)
    | qq(X1)
    | p(s(X1))
    | ~ q(s(X1))
    | ~ pp(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2433,c_0_1072]),c_0_2434]),c_0_736]) ).

cnf(c_0_2438,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(X1)
    | p(s(X1))
    | ~ r(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_586,c_0_2435]) ).

cnf(c_0_2439,negated_conjecture,
    q(s(X1)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2420,c_0_2432]),c_0_2436]) ).

cnf(c_0_2440,negated_conjecture,
    ( rr(X1)
    | r(s(s(X1)))
    | qq(X1)
    | p(s(X1))
    | ~ q(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2433,c_0_629]),c_0_291]),c_0_2437]),c_0_2438]) ).

cnf(c_0_2441,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1132,c_0_2439])]) ).

cnf(c_0_2442,negated_conjecture,
    ( p(s(X1))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2273,c_0_317]),c_0_651]) ).

cnf(c_0_2443,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | p(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2406,c_0_2440]),c_0_2416]) ).

cnf(c_0_2444,negated_conjecture,
    ( rr(X1)
    | qq(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2441,c_0_2442]),c_0_2443]) ).

cnf(c_0_2445,negated_conjecture,
    ( rr(s(X1))
    | qq(s(X1))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_2444,c_0_249]) ).

cnf(c_0_2446,negated_conjecture,
    ( p(s(s(X1)))
    | ~ r(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_2284,c_0_255]) ).

cnf(c_0_2447,negated_conjecture,
    ( ~ rr(s(s(X1)))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_460,c_0_2439])]) ).

cnf(c_0_2448,negated_conjecture,
    ( rr(s(s(X1)))
    | qq(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_2445,c_0_255]) ).

cnf(c_0_2449,negated_conjecture,
    ( p(s(s(X1)))
    | ~ r(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_2446,c_0_2143]) ).

cnf(c_0_2450,negated_conjecture,
    ( qq(s(s(X1)))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_2447,c_0_2448]) ).

cnf(c_0_2451,negated_conjecture,
    ( p(s(s(s(X1))))
    | ~ r(s(s(s(X1))))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2449,c_0_251]) ).

cnf(c_0_2452,negated_conjecture,
    ( q(s(X1))
    | p(s(s(X1)))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1189,c_0_1226]),c_0_1448]) ).

cnf(c_0_2453,negated_conjecture,
    ( qq(s(X1))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_472,c_0_2450]) ).

cnf(c_0_2454,negated_conjecture,
    ( p(s(s(s(X1))))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2451,c_0_1577]) ).

cnf(c_0_2455,negated_conjecture,
    ( q(s(X1))
    | p(s(X1))
    | ~ rr(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ pp(X1)
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_858,c_0_2452]) ).

cnf(c_0_2456,negated_conjecture,
    ( ~ qq(s(s(X1)))
    | ~ qq(s(X1))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_1265,c_0_2439])]),c_0_2406]) ).

cnf(c_0_2457,negated_conjecture,
    ( qq(s(X1))
    | ~ qq(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_2453,c_0_450]) ).

cnf(c_0_2458,negated_conjecture,
    ( p(s(s(X1)))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_1290,c_0_2454]) ).

cnf(c_0_2459,negated_conjecture,
    ( r(s(X1))
    | pp(s(s(X1)))
    | pp(s(X1))
    | ~ q(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1526,c_0_1002]),c_0_340]) ).

cnf(c_0_2460,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(s(X1)))
    | ~ rr(s(X1))
    | ~ qq(s(X1))
    | ~ pp(s(X1))
    | ~ ar(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2455,c_0_249]),c_0_1229]) ).

cnf(c_0_2461,negated_conjecture,
    ( ~ qq(s(X1))
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2456,c_0_2457]),c_0_2458]) ).

cnf(c_0_2462,negated_conjecture,
    ( r(s(X1))
    | pp(s(X1))
    | ~ q(s(s(s(X1))))
    | ~ q(s(X1))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_563,c_0_2459]),c_0_322]) ).

cnf(c_0_2463,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(s(X1)))
    | ap(X1)
    | ~ rr(s(X1))
    | ~ qq(s(X1))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2460,c_0_272]),c_0_1215]) ).

cnf(c_0_2464,negated_conjecture,
    ( ~ qq(X1)
    | ~ pp(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2461,c_0_903]) ).

cnf(c_0_2465,negated_conjecture,
    ( pp(s(X1))
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2462,c_0_2439]),c_0_2439])]),c_0_2406]) ).

cnf(c_0_2466,negated_conjecture,
    ( q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ rr(s(s(X1)))
    | ~ qq(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1245,c_0_255]) ).

cnf(c_0_2467,negated_conjecture,
    ( q(s(s(X1)))
    | p(s(s(X1)))
    | ap(X1)
    | ~ qq(s(X1))
    | ~ pp(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2463,c_0_1462]),c_0_1229]) ).

cnf(c_0_2468,negated_conjecture,
    ( ~ qq(X1)
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2464,c_0_2465]) ).

cnf(c_0_2469,negated_conjecture,
    ( ap(X1)
    | ~ r(s(s(X1)))
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ q(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_1410]),c_0_622]) ).

cnf(c_0_2470,negated_conjecture,
    ( q(s(s(s(X1))))
    | pp(s(s(X1)))
    | p(s(s(s(X1))))
    | ~ qq(s(s(X1)))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_2466,c_0_1255]) ).

cnf(c_0_2471,negated_conjecture,
    ( q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ qq(s(X1))
    | ~ pp(s(s(X1)))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2467,c_0_465]),c_0_320]) ).

cnf(c_0_2472,negated_conjecture,
    ( ~ qq(X1)
    | ~ p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2468,c_0_2442]) ).

cnf(c_0_2473,negated_conjecture,
    ( ap(X1)
    | ~ r(s(X1))
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2469,c_0_307]),c_0_656]),c_0_470]) ).

cnf(c_0_2474,negated_conjecture,
    ( q(s(s(s(X1))))
    | p(s(s(s(X1))))
    | ~ qq(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2470,c_0_465]),c_0_2471]) ).

cnf(c_0_2475,negated_conjecture,
    ( ~ qq(s(X1))
    | ~ p(s(s(X1)))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_2472,c_0_249]) ).

cnf(c_0_2476,negated_conjecture,
    ( r(s(s(s(X1))))
    | qq(s(X1))
    | p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_1864,c_0_1317]) ).

cnf(c_0_2477,negated_conjecture,
    ( p(s(s(s(X1))))
    | ~ qq(s(X1))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2473,c_0_2474]),c_0_1192]),c_0_320]) ).

cnf(c_0_2478,negated_conjecture,
    ( ~ qq(s(s(X1)))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_2475,c_0_255]) ).

cnf(c_0_2479,negated_conjecture,
    ( p(s(s(s(X1))))
    | ~ q(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1669,c_0_2476]),c_0_320]),c_0_2477]) ).

cnf(c_0_2480,negated_conjecture,
    ( r(s(s(X1)))
    | ap(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ pp(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2170,c_0_850]),c_0_260]),c_0_470]) ).

cnf(c_0_2481,negated_conjecture,
    ( ap(X1)
    | ~ r(s(s(X1)))
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(spm,[status(thm)],[c_0_934,c_0_1352]) ).

cnf(c_0_2482,negated_conjecture,
    ( ~ qq(s(X1))
    | ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_2478,c_0_465]) ).

cnf(c_0_2483,negated_conjecture,
    ( p(s(s(s(X1))))
    | ~ p(s(X1))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_2479,c_0_2311]) ).

cnf(c_0_2484,negated_conjecture,
    ( ap(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(s(X1)))
    | ~ pp(X1)
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2480,c_0_454]),c_0_2481]) ).

cnf(c_0_2485,negated_conjecture,
    ( ~ p(s(X1))
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2482,c_0_2483]),c_0_2453]) ).

cnf(c_0_2486,negated_conjecture,
    ( ap(X1)
    | ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2484,c_0_871]),c_0_972]) ).

cnf(c_0_2487,negated_conjecture,
    ( q(s(s(X1)))
    | ~ r(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_589,c_0_2410]),c_0_2411]) ).

cnf(c_0_2488,negated_conjecture,
    ( r(s(X1))
    | ~ rr(s(X1))
    | ~ r(X1)
    | ~ q(X1)
    | ~ p(X1) ),
    inference(spm,[status(thm)],[c_0_443,c_0_241]) ).

cnf(c_0_2489,negated_conjecture,
    ( rr(s(X1))
    | r(s(X1))
    | p(s(s(X1)))
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_1114]),c_0_248]),c_0_407]) ).

cnf(c_0_2490,negated_conjecture,
    ( ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2485,c_0_251]) ).

cnf(c_0_2491,negated_conjecture,
    ( ~ r(X1)
    | ~ qq(X1)
    | ~ q(s(X1))
    | ~ p(s(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_2486]),c_0_529]),c_0_724]) ).

cnf(c_0_2492,negated_conjecture,
    ( ~ r(X1)
    | ~ p(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2172,c_0_2487]) ).

cnf(c_0_2493,negated_conjecture,
    ( r(s(X1))
    | p(s(s(X1)))
    | ~ r(X1)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2488,c_0_2489]),c_0_1217]) ).

cnf(c_0_2494,negated_conjecture,
    ( ~ p(s(X1))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2490,c_0_2442]) ).

cnf(c_0_2495,negated_conjecture,
    ( ~ r(X1)
    | ~ aq(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_287,c_0_2439])]),c_0_2317]),c_0_2411]) ).

cnf(c_0_2496,negated_conjecture,
    ( ~ r(X1)
    | ~ qq(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2491,c_0_2439])]),c_0_2303]) ).

cnf(c_0_2497,negated_conjecture,
    ( ~ r(X1)
    | ~ ap(X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2492,c_0_2493]),c_0_2406]),c_0_2317]) ).

cnf(c_0_2498,negated_conjecture,
    ( ~ p(s(s(X1)))
    | ~ ar(X1) ),
    inference(spm,[status(thm)],[c_0_2494,c_0_249]) ).

cnf(c_0_2499,negated_conjecture,
    ( ~ r(X1)
    | ~ qq(s(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2495,c_0_431]),c_0_2496]) ).

cnf(c_0_2500,negated_conjecture,
    ( ~ rr(s(X1))
    | ~ r(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_839,c_0_2439])]),c_0_2317]),c_0_2497]) ).

cnf(c_0_2501,negated_conjecture,
    ( ~ p(s(s(s(X1))))
    | ~ aq(X1) ),
    inference(spm,[status(thm)],[c_0_2498,c_0_255]) ).

cnf(c_0_2502,negated_conjecture,
    ~ r(X1),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2445,c_0_241]),c_0_2406]),c_0_2499]),c_0_2500]) ).

cnf(c_0_2503,negated_conjecture,
    ( qq(s(X1))
    | ~ aq(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_2501,c_0_2084]),c_0_2502]) ).

cnf(c_0_2504,negated_conjecture,
    ( qq(s(s(X1)))
    | ~ ap(X1) ),
    inference(spm,[status(thm)],[c_0_2503,c_0_251]) ).

cnf(c_0_2505,negated_conjecture,
    ap(a),
    c001 ).

cnf(c_0_2506,negated_conjecture,
    ~ ap(X1),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_613,c_0_2504]),c_0_2502]),c_0_2494]) ).

cnf(c_0_2507,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_2505,c_0_2506]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : COM005-1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Oct  3 04:55:59 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  Running first-order model finding
% 0.21/0.50  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.HLhEPm9Hnm/E---3.1_21428.p
% 1500.66/204.86  # Version: 3.1pre001
% 1500.66/204.86  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1500.66/204.86  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1500.66/204.86  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1500.66/204.86  # Starting new_bool_3 with 300s (1) cores
% 1500.66/204.86  # Starting new_bool_1 with 300s (1) cores
% 1500.66/204.86  # Starting sh5l with 300s (1) cores
% 1500.66/204.86  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 21507 completed with status 0
% 1500.66/204.86  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1500.66/204.86  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1500.66/204.86  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1500.66/204.86  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1500.66/204.86  # No SInE strategy applied
% 1500.66/204.86  # Search class: FGHNF-FSLF11-SFFFFFNN
% 1500.66/204.86  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1500.66/204.86  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 811s (1) cores
% 1500.66/204.86  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1500.66/204.86  # Starting new_bool_3 with 136s (1) cores
% 1500.66/204.86  # Starting new_bool_1 with 136s (1) cores
% 1500.66/204.86  # Starting sh5l with 136s (1) cores
% 1500.66/204.86  # new_bool_3 with pid 21513 completed with status 7
% 1500.66/204.86  # Starting G-E--_200_C18_F1_AE_CS_SP_PI_S0Y with 130s (1) cores
% 1500.66/204.86  # sh5l with pid 21515 completed with status 7
% 1500.66/204.86  # new_bool_1 with pid 21514 completed with status 7
% 1500.66/204.86  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 21512 completed with status 7
% 1500.66/204.86  # G-E--_200_C18_F1_AE_CS_SP_PI_S0Y with pid 22322 completed with status 0
% 1500.66/204.86  # Result found by G-E--_200_C18_F1_AE_CS_SP_PI_S0Y
% 1500.66/204.86  # Preprocessing class: FSLSSMSSSSSNFFN.
% 1500.66/204.86  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1500.66/204.86  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1500.66/204.86  # No SInE strategy applied
% 1500.66/204.86  # Search class: FGHNF-FSLF11-SFFFFFNN
% 1500.66/204.86  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1500.66/204.86  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 811s (1) cores
% 1500.66/204.86  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1500.66/204.86  # Starting new_bool_3 with 136s (1) cores
% 1500.66/204.86  # Starting new_bool_1 with 136s (1) cores
% 1500.66/204.86  # Starting sh5l with 136s (1) cores
% 1500.66/204.86  # new_bool_3 with pid 21513 completed with status 7
% 1500.66/204.86  # Starting G-E--_200_C18_F1_AE_CS_SP_PI_S0Y with 130s (1) cores
% 1500.66/204.86  # Preprocessing time       : 0.002 s
% 1500.66/204.86  
% 1500.66/204.86  # Proof found!
% 1500.66/204.86  # SZS status Unsatisfiable
% 1500.66/204.86  # SZS output start CNFRefutation
% See solution above
% 1500.66/204.87  # Parsed axioms                        : 268
% 1500.66/204.87  # Removed by relevancy pruning/SinE    : 0
% 1500.66/204.87  # Initial clauses                      : 268
% 1500.66/204.87  # Removed in clause preprocessing      : 0
% 1500.66/204.87  # Initial clauses in saturation        : 268
% 1500.66/204.87  # Processed clauses                    : 346719
% 1500.66/204.87  # ...of these trivial                  : 12301
% 1500.66/204.87  # ...subsumed                          : 315606
% 1500.66/204.87  # ...remaining for further processing  : 18812
% 1500.66/204.87  # Other redundant clauses eliminated   : 0
% 1500.66/204.87  # Clauses deleted for lack of memory   : 0
% 1500.66/204.87  # Backward-subsumed                    : 17312
% 1500.66/204.87  # Backward-rewritten                   : 1196
% 1500.66/204.87  # Generated clauses                    : 2616927
% 1500.66/204.87  # ...of the previous two non-redundant : 955951
% 1500.66/204.87  # ...aggressively subsumed             : 0
% 1500.66/204.87  # Contextual simplify-reflections      : 16371
% 1500.66/204.87  # Paramodulations                      : 2616892
% 1500.66/204.87  # Factorizations                       : 0
% 1500.66/204.87  # NegExts                              : 0
% 1500.66/204.87  # Equation resolutions                 : 0
% 1500.66/204.87  # Total rewrite steps                  : 1554
% 1500.66/204.87  # Propositional unsat checks           : 0
% 1500.66/204.87  #    Propositional check models        : 0
% 1500.66/204.87  #    Propositional check unsatisfiable : 0
% 1500.66/204.87  #    Propositional clauses             : 0
% 1500.66/204.87  #    Propositional clauses after purity: 0
% 1500.66/204.87  #    Propositional unsat core size     : 0
% 1500.66/204.87  #    Propositional preprocessing time  : 0.000
% 1500.66/204.87  #    Propositional encoding time       : 0.000
% 1500.66/204.87  #    Propositional solver time         : 0.000
% 1500.66/204.87  #    Success case prop preproc time    : 0.000
% 1500.66/204.87  #    Success case prop encoding time   : 0.000
% 1500.66/204.87  #    Success case prop solver time     : 0.000
% 1500.66/204.87  # Current number of processed clauses  : 269
% 1500.66/204.87  #    Positive orientable unit clauses  : 3
% 1500.66/204.87  #    Positive unorientable unit clauses: 0
% 1500.66/204.87  #    Negative unit clauses             : 4
% 1500.66/204.87  #    Non-unit-clauses                  : 262
% 1500.66/204.87  # Current number of unprocessed clauses: 261436
% 1500.66/204.87  # ...number of literals in the above   : 3107395
% 1500.66/204.87  # Current number of archived formulas  : 0
% 1500.66/204.87  # Current number of archived clauses   : 18543
% 1500.66/204.87  # Clause-clause subsumption calls (NU) : 55105388
% 1500.66/204.87  # Rec. Clause-clause subsumption calls : 3550918
% 1500.66/204.87  # Non-unit clause-clause subsumptions  : 348432
% 1500.66/204.87  # Unit Clause-clause subsumption calls : 6607
% 1500.66/204.87  # Rewrite failures with RHS unbound    : 0
% 1500.66/204.87  # BW rewrite match attempts            : 7
% 1500.66/204.87  # BW rewrite match successes           : 7
% 1500.66/204.87  # Condensation attempts                : 0
% 1500.66/204.87  # Condensation successes               : 0
% 1500.66/204.87  # Termbank termtop insertions          : 93124538
% 1500.66/204.87  
% 1500.66/204.87  # -------------------------------------------------
% 1500.66/204.87  # User time                : 623.055 s
% 1500.66/204.87  # System time              : 2.243 s
% 1500.66/204.87  # Total time               : 625.298 s
% 1500.66/204.87  # Maximum resident set size: 2548 pages
% 1500.66/204.87  
% 1500.66/204.87  # -------------------------------------------------
% 1500.66/204.87  # User time                : 824.171 s
% 1500.66/204.87  # System time              : 3.368 s
% 1500.66/204.87  # Total time               : 827.538 s
% 1500.66/204.87  # Maximum resident set size: 2376 pages
% 1500.66/204.87  % E---3.1 exiting
%------------------------------------------------------------------------------