TSTP Solution File: SYN755-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SYN755-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 20:18:37 EDT 2023

% Result   : Unsatisfiable 0.22s 0.53s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   31
% Syntax   : Number of clauses     :  172 (   9 unt; 108 nHn; 160 RR)
%            Number of literals    :  778 (   0 equ; 466 neg)
%            Maximal clause size   :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :  332 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause12,negated_conjecture,
    ( ssPv4(X3)
    | ssPv2(X1)
    | ssPv4(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause12) ).

cnf(clause24,negated_conjecture,
    ( ssPv2(X1)
    | ssPv4(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv3(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause24) ).

cnf(clause48,negated_conjecture,
    ( ssPv3(X4)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X3)
    | ~ ssRr(X1,X4)
    | ~ ssPv1(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause48) ).

cnf(clause1,negated_conjecture,
    ssRr(X1,skf1(X1)),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause1) ).

cnf(clause33,negated_conjecture,
    ( ssPv3(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv3(X3)
    | ~ ssPv4(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause33) ).

cnf(clause21,negated_conjecture,
    ( ssPv4(X3)
    | ssPv2(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv1(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause21) ).

cnf(clause22,negated_conjecture,
    ( ssPv2(X3)
    | ssPv2(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv1(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause22) ).

cnf(clause29,negated_conjecture,
    ( ssPv1(X1)
    | ssPv3(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause29) ).

cnf(clause8,negated_conjecture,
    ( ssPv4(X2)
    | ssPv1(X3)
    | ssPv2(X1)
    | ssPv3(X1)
    | ~ ssRr(X1,X2)
    | ~ ssRr(X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause8) ).

cnf(clause9,negated_conjecture,
    ( ssPv4(X2)
    | ssPv1(X3)
    | ssPv4(X1)
    | ~ ssRr(X1,X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv1(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause9) ).

cnf(clause2,negated_conjecture,
    ( ssPv1(X1)
    | ssPv2(X1)
    | ssPv3(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv1(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause2) ).

cnf(clause17,negated_conjecture,
    ( ssPv2(X3)
    | ssPv4(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause17) ).

cnf(clause11,negated_conjecture,
    ( ssPv3(X3)
    | ssPv3(X1)
    | ssPv4(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv1(X2)
    | ~ ssRr(X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause11) ).

cnf(clause51,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X3)
    | ~ ssRr(X1,X4)
    | ~ ssPv1(X4)
    | ~ ssPv3(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause51) ).

cnf(clause50,negated_conjecture,
    ( ssPv4(X4)
    | ~ ssRr(X1,X2)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv1(X3)
    | ~ ssRr(X1,X4)
    | ~ ssPv3(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause50) ).

cnf(clause3,negated_conjecture,
    ( ssPv3(X1)
    | ssPv4(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv3(X2)
    | ~ ssPv2(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause3) ).

cnf(clause4,negated_conjecture,
    ( ssPv3(X1)
    | ssPv4(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv1(X2)
    | ~ ssPv2(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause4) ).

cnf(clause27,negated_conjecture,
    ( ssPv4(X3)
    | ssPv1(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv3(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause27) ).

cnf(clause36,negated_conjecture,
    ( ssPv1(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv3(X3)
    | ~ ssPv3(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause36) ).

cnf(clause28,negated_conjecture,
    ( ssPv4(X3)
    | ssPv1(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause28) ).

cnf(clause34,negated_conjecture,
    ( ssPv3(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv1(X3)
    | ~ ssPv4(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause34) ).

cnf(clause15,negated_conjecture,
    ( ssPv3(X3)
    | ssPv1(X1)
    | ssPv2(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause15) ).

cnf(clause5,negated_conjecture,
    ( ssPv1(X1)
    | ssPv3(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssPv2(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause5) ).

cnf(clause16,negated_conjecture,
    ( ssPv3(X3)
    | ssPv1(X1)
    | ssPv2(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv1(X2)
    | ~ ssRr(X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause16) ).

cnf(clause10,negated_conjecture,
    ( ssPv3(X2)
    | ssPv2(X3)
    | ssPv3(X1)
    | ~ ssRr(X1,X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause10) ).

cnf(clause37,negated_conjecture,
    ( ssPv3(X3)
    | ssPv1(X4)
    | ssPv4(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X3)
    | ~ ssRr(X1,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause37) ).

cnf(clause19,negated_conjecture,
    ( ssPv2(X3)
    | ssPv3(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv1(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause19) ).

cnf(clause31,negated_conjecture,
    ( ssPv1(X3)
    | ~ ssRr(X1,X2)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X1)
    | ~ ssPv4(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause31) ).

cnf(clause42,negated_conjecture,
    ( ssPv3(X3)
    | ssPv2(X4)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X3)
    | ~ ssRr(X1,X4)
    | ~ ssPv4(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause42) ).

cnf(clause47,negated_conjecture,
    ( ssPv4(X4)
    | ~ ssRr(X1,X2)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X3)
    | ~ ssRr(X1,X4)
    | ~ ssPv1(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause47) ).

cnf(clause7,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv1(X2)
    | ~ ssPv2(X1)
    | ~ ssPv3(X1)
    | ~ ssPv4(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p',clause7) ).

cnf(c_0_31,negated_conjecture,
    ( ssPv4(X3)
    | ssPv2(X1)
    | ssPv4(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X3) ),
    clause12 ).

cnf(c_0_32,negated_conjecture,
    ( ssPv2(X1)
    | ssPv4(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv3(X3) ),
    clause24 ).

cnf(c_0_33,negated_conjecture,
    ( ssPv3(X4)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X3)
    | ~ ssRr(X1,X4)
    | ~ ssPv1(X1) ),
    clause48 ).

cnf(c_0_34,negated_conjecture,
    ssRr(X1,skf1(X1)),
    clause1 ).

cnf(c_0_35,negated_conjecture,
    ( ssPv3(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv3(X3)
    | ~ ssPv4(X1) ),
    clause33 ).

cnf(c_0_36,negated_conjecture,
    ( ssPv4(X3)
    | ssPv2(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv1(X1) ),
    clause21 ).

cnf(c_0_37,negated_conjecture,
    ( ssPv2(X3)
    | ssPv2(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv1(X1) ),
    clause22 ).

cnf(c_0_38,negated_conjecture,
    ( ssPv4(X1)
    | ssPv2(X1)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X3)
    | ~ ssRr(X1,X2) ),
    inference(csr,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_39,negated_conjecture,
    ( ssPv3(skf1(X1))
    | ~ ssPv4(X2)
    | ~ ssPv2(X3)
    | ~ ssPv1(X1)
    | ~ ssRr(X1,X3)
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_40,negated_conjecture,
    ( ssPv1(X1)
    | ssPv3(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X3) ),
    clause29 ).

cnf(c_0_41,negated_conjecture,
    ( ssPv4(X2)
    | ssPv1(X3)
    | ssPv2(X1)
    | ssPv3(X1)
    | ~ ssRr(X1,X2)
    | ~ ssRr(X1,X3) ),
    clause8 ).

cnf(c_0_42,negated_conjecture,
    ( ssPv4(X2)
    | ssPv1(X3)
    | ssPv4(X1)
    | ~ ssRr(X1,X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv1(X1) ),
    clause9 ).

cnf(c_0_43,negated_conjecture,
    ( ssPv3(X1)
    | ~ ssPv4(X2)
    | ~ ssPv4(X1)
    | ~ ssPv3(skf1(X1))
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_35,c_0_34]) ).

cnf(c_0_44,negated_conjecture,
    ( ssPv4(skf1(X1))
    | ssPv2(X1)
    | ~ ssPv2(X2)
    | ~ ssPv1(X1)
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_36,c_0_34]) ).

cnf(c_0_45,negated_conjecture,
    ( ssPv2(skf1(X1))
    | ssPv2(X1)
    | ~ ssPv3(X2)
    | ~ ssPv1(X1)
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_37,c_0_34]) ).

cnf(c_0_46,negated_conjecture,
    ( ssPv4(X1)
    | ssPv2(X1)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_38,c_0_34]) ).

cnf(c_0_47,negated_conjecture,
    ( ssPv3(skf1(X1))
    | ~ ssPv4(X2)
    | ~ ssPv2(skf1(X1))
    | ~ ssPv1(X1)
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_39,c_0_34]) ).

cnf(c_0_48,negated_conjecture,
    ( ssPv3(X1)
    | ssPv1(X1)
    | ~ ssPv4(X2)
    | ~ ssPv2(skf1(X1))
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_34]) ).

cnf(c_0_49,negated_conjecture,
    ( ssPv4(X1)
    | ssPv3(X2)
    | ssPv2(X2)
    | ssPv1(skf1(X2))
    | ~ ssRr(X2,X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_34]) ).

cnf(c_0_50,negated_conjecture,
    ( ssPv1(X1)
    | ssPv2(X1)
    | ssPv3(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv1(X2) ),
    clause2 ).

cnf(c_0_51,negated_conjecture,
    ( ssPv4(X1)
    | ssPv4(X2)
    | ssPv1(skf1(X1))
    | ~ ssPv1(X1)
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_42,c_0_34]) ).

cnf(c_0_52,negated_conjecture,
    ( ssPv3(X1)
    | ~ ssPv4(skf1(X1))
    | ~ ssPv4(X1)
    | ~ ssPv3(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_43,c_0_34]) ).

cnf(c_0_53,negated_conjecture,
    ( ssPv4(skf1(X1))
    | ssPv2(X1)
    | ~ ssPv2(skf1(X1))
    | ~ ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_34]) ).

cnf(c_0_54,negated_conjecture,
    ( ssPv2(skf1(X1))
    | ssPv2(X1)
    | ~ ssPv3(skf1(X1))
    | ~ ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_34]) ).

cnf(c_0_55,negated_conjecture,
    ( ssPv4(X1)
    | ssPv2(X1)
    | ~ ssPv3(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_46,c_0_34]) ).

cnf(c_0_56,negated_conjecture,
    ( ssPv3(skf1(X1))
    | ~ ssPv4(skf1(X1))
    | ~ ssPv2(skf1(X1))
    | ~ ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_34]) ).

cnf(c_0_57,negated_conjecture,
    ( ssPv3(X1)
    | ssPv1(X1)
    | ~ ssPv4(skf1(X1))
    | ~ ssPv2(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_48,c_0_34]) ).

cnf(c_0_58,negated_conjecture,
    ( ssPv4(skf1(X1))
    | ssPv3(X1)
    | ssPv2(X1)
    | ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_49,c_0_34]) ).

cnf(c_0_59,negated_conjecture,
    ( ssPv3(X1)
    | ssPv2(X1)
    | ssPv1(X1)
    | ~ ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_50,c_0_34]) ).

cnf(c_0_60,negated_conjecture,
    ( ssPv2(X3)
    | ssPv4(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X1) ),
    clause17 ).

cnf(c_0_61,negated_conjecture,
    ( ssPv3(X3)
    | ssPv3(X1)
    | ssPv4(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv1(X2)
    | ~ ssRr(X1,X3) ),
    clause11 ).

cnf(c_0_62,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X3)
    | ~ ssRr(X1,X4)
    | ~ ssPv1(X4)
    | ~ ssPv3(X1) ),
    clause51 ).

cnf(c_0_63,negated_conjecture,
    ( ssPv4(X4)
    | ~ ssRr(X1,X2)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv1(X3)
    | ~ ssRr(X1,X4)
    | ~ ssPv3(X1) ),
    clause50 ).

cnf(c_0_64,negated_conjecture,
    ( ssPv3(X1)
    | ssPv4(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv3(X2)
    | ~ ssPv2(X1) ),
    clause3 ).

cnf(c_0_65,negated_conjecture,
    ( ssPv4(skf1(X1))
    | ssPv4(X1)
    | ssPv1(skf1(X1))
    | ~ ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_34]) ).

cnf(c_0_66,negated_conjecture,
    ( ssPv3(X1)
    | ssPv2(X1)
    | ~ ssPv3(skf1(X1))
    | ~ ssPv1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55]) ).

cnf(c_0_67,negated_conjecture,
    ( ssPv3(skf1(X1))
    | ssPv2(X1)
    | ~ ssPv2(skf1(X1))
    | ~ ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_53]) ).

cnf(c_0_68,negated_conjecture,
    ( ssPv3(X1)
    | ssPv2(X1)
    | ssPv1(X1)
    | ~ ssPv2(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).

cnf(c_0_69,negated_conjecture,
    ( ssPv4(X1)
    | ssPv2(skf1(X1))
    | ~ ssPv4(X2)
    | ~ ssPv2(X1)
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_60,c_0_34]) ).

cnf(c_0_70,negated_conjecture,
    ( ssPv4(X1)
    | ssPv3(skf1(X1))
    | ssPv3(X1)
    | ~ ssPv1(X2)
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_61,c_0_34]) ).

cnf(c_0_71,negated_conjecture,
    ( ssPv3(X1)
    | ssPv4(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv1(X2)
    | ~ ssPv2(X1) ),
    clause4 ).

cnf(c_0_72,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv3(X2)
    | ~ ssPv2(X3)
    | ~ ssPv1(skf1(X2))
    | ~ ssRr(X2,X3)
    | ~ ssRr(X2,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_34]) ).

cnf(c_0_73,negated_conjecture,
    ( ssPv4(skf1(X1))
    | ~ ssPv3(X2)
    | ~ ssPv3(X1)
    | ~ ssPv1(X3)
    | ~ ssRr(X1,X3)
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_63,c_0_34]) ).

cnf(c_0_74,negated_conjecture,
    ( ssPv4(X3)
    | ssPv1(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv3(X1) ),
    clause27 ).

cnf(c_0_75,negated_conjecture,
    ( ssPv1(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv3(X3)
    | ~ ssPv3(X1) ),
    clause36 ).

cnf(c_0_76,negated_conjecture,
    ( ssPv4(X1)
    | ssPv3(X1)
    | ~ ssPv3(skf1(X1))
    | ~ ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_34]) ).

cnf(c_0_77,negated_conjecture,
    ( ssPv4(X1)
    | ssPv3(skf1(X1))
    | ssPv1(skf1(X1))
    | ~ ssPv2(skf1(X1))
    | ~ ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_65]) ).

cnf(c_0_78,negated_conjecture,
    ( ssPv3(X1)
    | ssPv2(X1)
    | ~ ssPv2(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).

cnf(c_0_79,negated_conjecture,
    ( ssPv4(X1)
    | ssPv2(skf1(X1))
    | ~ ssPv4(skf1(X1))
    | ~ ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_34]) ).

cnf(c_0_80,negated_conjecture,
    ( ssPv4(X1)
    | ssPv3(skf1(X1))
    | ssPv3(X1)
    | ~ ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_70,c_0_34]) ).

cnf(c_0_81,negated_conjecture,
    ( ssPv4(X1)
    | ssPv3(X1)
    | ~ ssPv2(X1)
    | ~ ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_71,c_0_34]) ).

cnf(c_0_82,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv3(X2)
    | ~ ssPv2(skf1(X2))
    | ~ ssPv1(skf1(X2))
    | ~ ssRr(X2,X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_34]) ).

cnf(c_0_83,negated_conjecture,
    ( ssPv4(skf1(X1))
    | ~ ssPv3(X2)
    | ~ ssPv3(X1)
    | ~ ssPv1(skf1(X1))
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_73,c_0_34]) ).

cnf(c_0_84,negated_conjecture,
    ( ssPv4(X3)
    | ssPv1(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X1) ),
    clause28 ).

cnf(c_0_85,negated_conjecture,
    ( ssPv1(X1)
    | ~ ssPv3(X2)
    | ~ ssPv3(X1)
    | ~ ssRr(X1,X3)
    | ~ ssRr(X1,X2) ),
    inference(csr,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_86,negated_conjecture,
    ( ssPv3(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv1(X3)
    | ~ ssPv4(X1) ),
    clause34 ).

cnf(c_0_87,negated_conjecture,
    ( ssPv4(X1)
    | ssPv3(X1)
    | ssPv1(skf1(X1))
    | ~ ssPv2(skf1(X1))
    | ~ ssPv1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).

cnf(c_0_88,negated_conjecture,
    ( ssPv4(X1)
    | ssPv2(skf1(X1))
    | ssPv1(skf1(X1))
    | ~ ssPv2(X1)
    | ~ ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_65]) ).

cnf(c_0_89,negated_conjecture,
    ( ssPv4(X1)
    | ssPv3(X1)
    | ~ ssPv1(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_80]),c_0_81]) ).

cnf(c_0_90,negated_conjecture,
    ( ~ ssPv4(skf1(X1))
    | ~ ssPv3(X1)
    | ~ ssPv2(skf1(X1))
    | ~ ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_82,c_0_34]) ).

cnf(c_0_91,negated_conjecture,
    ( ssPv4(skf1(X1))
    | ~ ssPv3(skf1(X1))
    | ~ ssPv3(X1)
    | ~ ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_83,c_0_34]) ).

cnf(c_0_92,negated_conjecture,
    ( ssPv3(X3)
    | ssPv1(X1)
    | ssPv2(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X3) ),
    clause15 ).

cnf(c_0_93,negated_conjecture,
    ( ssPv1(X1)
    | ssPv3(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssPv2(X1) ),
    clause5 ).

cnf(c_0_94,negated_conjecture,
    ( ssPv4(skf1(X1))
    | ssPv1(X1)
    | ~ ssPv3(X2)
    | ~ ssPv2(X1)
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_84,c_0_34]) ).

cnf(c_0_95,negated_conjecture,
    ( ssPv1(X1)
    | ~ ssPv3(X2)
    | ~ ssPv3(X1)
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_85,c_0_34]) ).

cnf(c_0_96,negated_conjecture,
    ( ssPv3(X1)
    | ~ ssPv4(X2)
    | ~ ssPv4(X1)
    | ~ ssPv1(skf1(X1))
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_86,c_0_34]) ).

cnf(c_0_97,negated_conjecture,
    ( ssPv4(X1)
    | ssPv3(X1)
    | ~ ssPv2(X1)
    | ~ ssPv1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).

cnf(c_0_98,negated_conjecture,
    ( ~ ssPv3(skf1(X1))
    | ~ ssPv3(X1)
    | ~ ssPv2(skf1(X1))
    | ~ ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_99,negated_conjecture,
    ( ssPv3(skf1(X1))
    | ssPv2(X1)
    | ssPv1(X1)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_92,c_0_34]) ).

cnf(c_0_100,negated_conjecture,
    ( ssPv3(X3)
    | ssPv1(X1)
    | ssPv2(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv1(X2)
    | ~ ssRr(X1,X3) ),
    clause16 ).

cnf(c_0_101,negated_conjecture,
    ( ssPv3(X2)
    | ssPv2(X3)
    | ssPv3(X1)
    | ~ ssRr(X1,X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X1) ),
    clause10 ).

cnf(c_0_102,negated_conjecture,
    ( ssPv3(X3)
    | ssPv1(X4)
    | ssPv4(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X3)
    | ~ ssRr(X1,X4) ),
    clause37 ).

cnf(c_0_103,negated_conjecture,
    ( ssPv3(X1)
    | ssPv1(X1)
    | ~ ssPv4(skf1(X1))
    | ~ ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_93,c_0_34]) ).

cnf(c_0_104,negated_conjecture,
    ( ssPv4(skf1(X1))
    | ssPv1(X1)
    | ~ ssPv3(skf1(X1))
    | ~ ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_94,c_0_34]) ).

cnf(c_0_105,negated_conjecture,
    ( ssPv1(X1)
    | ~ ssPv3(skf1(X1))
    | ~ ssPv3(X1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_34]) ).

cnf(c_0_106,negated_conjecture,
    ( ssPv3(X1)
    | ~ ssPv4(skf1(X1))
    | ~ ssPv4(X1)
    | ~ ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_96,c_0_34]) ).

cnf(c_0_107,negated_conjecture,
    ( ~ ssPv3(X1)
    | ~ ssPv2(skf1(X1))
    | ~ ssPv1(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_97]),c_0_98]) ).

cnf(c_0_108,negated_conjecture,
    ( ssPv3(skf1(X1))
    | ssPv2(X1)
    | ~ ssPv2(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_34]),c_0_67]) ).

cnf(c_0_109,negated_conjecture,
    ( ssPv2(X3)
    | ssPv3(X1)
    | ~ ssRr(X1,X2)
    | ~ ssPv1(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X1) ),
    clause19 ).

cnf(c_0_110,negated_conjecture,
    ( ssPv3(skf1(X1))
    | ssPv2(X1)
    | ssPv1(X1)
    | ~ ssPv1(X2)
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_100,c_0_34]) ).

cnf(c_0_111,negated_conjecture,
    ( ssPv1(X3)
    | ~ ssRr(X1,X2)
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X1)
    | ~ ssPv4(X1) ),
    clause31 ).

cnf(c_0_112,negated_conjecture,
    ( ssPv3(X1)
    | ssPv3(X2)
    | ssPv2(skf1(X1))
    | ~ ssPv2(X1)
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_101,c_0_34]) ).

cnf(c_0_113,negated_conjecture,
    ( ssPv4(X1)
    | ssPv3(X2)
    | ssPv1(skf1(X1))
    | ~ ssPv2(X3)
    | ~ ssRr(X1,X2)
    | ~ ssRr(X1,X3) ),
    inference(spm,[status(thm)],[c_0_102,c_0_34]) ).

cnf(c_0_114,negated_conjecture,
    ( ssPv1(X1)
    | ~ ssPv3(skf1(X1))
    | ~ ssPv2(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).

cnf(c_0_115,negated_conjecture,
    ( ssPv3(skf1(X1))
    | ~ ssPv2(skf1(X1))
    | ~ ssPv1(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_97]),c_0_89]),c_0_107]) ).

cnf(c_0_116,negated_conjecture,
    ( ssPv2(X1)
    | ~ ssPv2(skf1(X1))
    | ~ ssPv1(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_108]),c_0_78]) ).

cnf(c_0_117,negated_conjecture,
    ( ssPv3(X1)
    | ssPv2(skf1(X1))
    | ~ ssPv2(X1)
    | ~ ssPv1(X2)
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_109,c_0_34]) ).

cnf(c_0_118,negated_conjecture,
    ( ssPv3(skf1(X1))
    | ssPv2(X1)
    | ssPv1(X1)
    | ~ ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_110,c_0_34]) ).

cnf(c_0_119,negated_conjecture,
    ( ssPv1(skf1(X1))
    | ~ ssPv4(X1)
    | ~ ssPv2(X2)
    | ~ ssPv2(X1)
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_111,c_0_34]) ).

cnf(c_0_120,negated_conjecture,
    ( ssPv3(skf1(X1))
    | ssPv3(X1)
    | ssPv2(skf1(X1))
    | ~ ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_112,c_0_34]) ).

cnf(c_0_121,negated_conjecture,
    ( ssPv4(X1)
    | ssPv3(skf1(X1))
    | ssPv1(skf1(X1))
    | ~ ssPv2(X2)
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_113,c_0_34]) ).

cnf(c_0_122,negated_conjecture,
    ( ssPv3(X3)
    | ssPv2(X4)
    | ~ ssRr(X1,X2)
    | ~ ssPv4(X2)
    | ~ ssRr(X1,X3)
    | ~ ssRr(X1,X4)
    | ~ ssPv4(X1) ),
    clause42 ).

cnf(c_0_123,negated_conjecture,
    ( ssPv1(X1)
    | ~ ssPv2(skf1(X1))
    | ~ ssPv1(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).

cnf(c_0_124,negated_conjecture,
    ( ssPv3(X1)
    | ssPv2(skf1(X1))
    | ~ ssPv2(X1)
    | ~ ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_117,c_0_34]) ).

cnf(c_0_125,negated_conjecture,
    ( ssPv2(X1)
    | ssPv1(X1)
    | ~ ssPv1(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_118]),c_0_59]) ).

cnf(c_0_126,negated_conjecture,
    ( ssPv1(skf1(X1))
    | ~ ssPv4(X1)
    | ~ ssPv2(skf1(X1))
    | ~ ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_119,c_0_34]) ).

cnf(c_0_127,negated_conjecture,
    ( ssPv3(X1)
    | ssPv2(skf1(X1))
    | ssPv1(X1)
    | ~ ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_120]) ).

cnf(c_0_128,negated_conjecture,
    ( ssPv4(X1)
    | ssPv3(skf1(X1))
    | ~ ssPv2(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_34]),c_0_115]) ).

cnf(c_0_129,negated_conjecture,
    ( ssPv3(X1)
    | ssPv2(skf1(X2))
    | ~ ssPv4(X3)
    | ~ ssPv4(X2)
    | ~ ssRr(X2,X1)
    | ~ ssRr(X2,X3) ),
    inference(spm,[status(thm)],[c_0_122,c_0_34]) ).

cnf(c_0_130,negated_conjecture,
    ( ssPv3(X1)
    | ssPv1(X1)
    | ~ ssPv1(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125]) ).

cnf(c_0_131,negated_conjecture,
    ( ssPv3(X1)
    | ssPv1(skf1(X1))
    | ssPv1(X1)
    | ~ ssPv4(X1)
    | ~ ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_132,negated_conjecture,
    ( ssPv4(X1)
    | ssPv3(X1)
    | ~ ssPv2(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_128]),c_0_78]) ).

cnf(c_0_133,negated_conjecture,
    ( ssPv4(X1)
    | ssPv3(X1)
    | ssPv2(skf1(X1))
    | ~ ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_76,c_0_120]) ).

cnf(c_0_134,negated_conjecture,
    ( ssPv3(skf1(X1))
    | ssPv2(skf1(X1))
    | ~ ssPv4(X2)
    | ~ ssPv4(X1)
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_129,c_0_34]) ).

cnf(c_0_135,negated_conjecture,
    ( ssPv3(X1)
    | ssPv1(X1)
    | ~ ssPv4(X1)
    | ~ ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_136,negated_conjecture,
    ( ssPv4(X1)
    | ssPv3(X1)
    | ~ ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_137,negated_conjecture,
    ( ssPv3(skf1(X1))
    | ssPv2(skf1(X1))
    | ~ ssPv4(skf1(X1))
    | ~ ssPv4(X1) ),
    inference(spm,[status(thm)],[c_0_134,c_0_34]) ).

cnf(c_0_138,negated_conjecture,
    ( ssPv3(X1)
    | ssPv1(X1)
    | ~ ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_139,negated_conjecture,
    ( ssPv3(X1)
    | ssPv2(X1)
    | ssPv1(skf1(X1))
    | ~ ssPv3(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_58]),c_0_55]) ).

cnf(c_0_140,negated_conjecture,
    ( ssPv3(skf1(X1))
    | ssPv3(X1)
    | ssPv1(skf1(X1))
    | ~ ssPv4(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_58]),c_0_120]),c_0_138]) ).

cnf(c_0_141,negated_conjecture,
    ( ssPv3(X1)
    | ssPv2(X1)
    | ssPv1(skf1(X1))
    | ~ ssPv4(X1) ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_142,negated_conjecture,
    ( ssPv3(X1)
    | ssPv1(X1)
    | ~ ssPv4(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_141]),c_0_138]) ).

cnf(c_0_143,negated_conjecture,
    ( ssPv3(X1)
    | ssPv2(X1)
    | ssPv1(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_58]),c_0_139]) ).

cnf(c_0_144,negated_conjecture,
    ( ssPv3(X1)
    | ssPv1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_143]),c_0_138]) ).

cnf(c_0_145,negated_conjecture,
    ( ssPv1(skf1(X1))
    | ssPv1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_144]),c_0_144]) ).

cnf(c_0_146,negated_conjecture,
    ( ssPv4(X4)
    | ~ ssRr(X1,X2)
    | ~ ssPv3(X2)
    | ~ ssRr(X1,X3)
    | ~ ssPv2(X3)
    | ~ ssRr(X1,X4)
    | ~ ssPv1(X1) ),
    clause47 ).

cnf(c_0_147,negated_conjecture,
    ( ~ ssRr(X1,X2)
    | ~ ssPv1(X2)
    | ~ ssPv2(X1)
    | ~ ssPv3(X1)
    | ~ ssPv4(X1) ),
    clause7 ).

cnf(c_0_148,negated_conjecture,
    ( ssPv2(X1)
    | ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_125,c_0_145]) ).

cnf(c_0_149,negated_conjecture,
    ( ssPv4(skf1(X1))
    | ~ ssPv3(X2)
    | ~ ssPv2(X3)
    | ~ ssPv1(X1)
    | ~ ssRr(X1,X3)
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_146,c_0_34]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv3(X1)
    | ~ ssPv2(X1)
    | ~ ssPv1(skf1(X1)) ),
    inference(spm,[status(thm)],[c_0_147,c_0_34]) ).

cnf(c_0_151,negated_conjecture,
    ( ssPv1(skf1(X1))
    | ~ ssPv4(X1)
    | ~ ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_148]) ).

cnf(c_0_152,negated_conjecture,
    ( ssPv4(skf1(X1))
    | ~ ssPv3(X2)
    | ~ ssPv2(skf1(X1))
    | ~ ssPv1(X1)
    | ~ ssRr(X1,X2) ),
    inference(spm,[status(thm)],[c_0_149,c_0_34]) ).

cnf(c_0_153,negated_conjecture,
    ( ssPv2(X1)
    | ssPv1(X1)
    | ~ ssPv2(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_108]),c_0_78]) ).

cnf(c_0_154,negated_conjecture,
    ( ~ ssPv4(X1)
    | ~ ssPv3(X1)
    | ~ ssPv2(X1) ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_155,negated_conjecture,
    ( ssPv4(skf1(X1))
    | ~ ssPv3(skf1(X1))
    | ~ ssPv2(skf1(X1))
    | ~ ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_152,c_0_34]) ).

cnf(c_0_156,negated_conjecture,
    ( ssPv1(X1)
    | ~ ssPv2(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_138]),c_0_153]),c_0_123]) ).

cnf(c_0_157,negated_conjecture,
    ( ~ ssPv3(skf1(X1))
    | ~ ssPv2(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156]) ).

cnf(c_0_158,negated_conjecture,
    ( ssPv3(skf1(X1))
    | ~ ssPv2(skf1(X1))
    | ~ ssPv1(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_136]) ).

cnf(c_0_159,negated_conjecture,
    ~ ssPv2(skf1(X1)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_156]) ).

cnf(c_0_160,negated_conjecture,
    ssPv1(skf1(X1)),
    inference(spm,[status(thm)],[c_0_159,c_0_148]) ).

cnf(c_0_161,negated_conjecture,
    ( ssPv4(X1)
    | ssPv3(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_143]),c_0_136]) ).

cnf(c_0_162,negated_conjecture,
    ( ssPv4(skf1(X1))
    | ~ ssPv3(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_160])]),c_0_161]) ).

cnf(c_0_163,negated_conjecture,
    ( ssPv3(X1)
    | ~ ssPv2(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_160])]),c_0_159]) ).

cnf(c_0_164,negated_conjecture,
    ( ssPv4(X1)
    | ~ ssPv2(X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_162]),c_0_159]),c_0_163]) ).

cnf(c_0_165,negated_conjecture,
    ~ ssPv2(X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_164]),c_0_163]) ).

cnf(c_0_166,negated_conjecture,
    ( ssPv3(X1)
    | ~ ssPv4(skf1(X1)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_160])]),c_0_161]) ).

cnf(c_0_167,negated_conjecture,
    ssPv1(X1),
    inference(sr,[status(thm)],[c_0_148,c_0_165]) ).

cnf(c_0_168,negated_conjecture,
    ( ssPv3(skf1(X1))
    | ssPv3(X1) ),
    inference(spm,[status(thm)],[c_0_166,c_0_161]) ).

cnf(c_0_169,negated_conjecture,
    ~ ssPv3(skf1(X1)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_167])]),c_0_165]),c_0_165]) ).

cnf(c_0_170,negated_conjecture,
    ssPv3(X1),
    inference(sr,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_171,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_170])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN755-1 : TPTP v8.1.2. Released v2.5.0.
% 0.15/0.15  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n003.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 2400
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Oct  2 18:33:48 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  Running first-order theorem proving
% 0.22/0.50  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.8xsC0s3GhF/E---3.1_17980.p
% 0.22/0.53  # Version: 3.1pre001
% 0.22/0.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.53  # Starting sh5l with 300s (1) cores
% 0.22/0.53  # sh5l with pid 18104 completed with status 0
% 0.22/0.53  # Result found by sh5l
% 0.22/0.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.53  # Starting sh5l with 300s (1) cores
% 0.22/0.53  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.53  # Search class: FGHNF-FFMF11-SFFFFFNN
% 0.22/0.53  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.53  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 163s (1) cores
% 0.22/0.53  # G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with pid 18112 completed with status 0
% 0.22/0.53  # Result found by G-E--_208_C47_F1_SE_CS_SP_PS_S0Y
% 0.22/0.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.53  # Starting sh5l with 300s (1) cores
% 0.22/0.53  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.53  # Search class: FGHNF-FFMF11-SFFFFFNN
% 0.22/0.53  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.53  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 163s (1) cores
% 0.22/0.53  # Preprocessing time       : 0.002 s
% 0.22/0.53  # Presaturation interreduction done
% 0.22/0.53  
% 0.22/0.53  # Proof found!
% 0.22/0.53  # SZS status Unsatisfiable
% 0.22/0.53  # SZS output start CNFRefutation
% See solution above
% 0.22/0.53  # Parsed axioms                        : 51
% 0.22/0.53  # Removed by relevancy pruning/SinE    : 0
% 0.22/0.53  # Initial clauses                      : 51
% 0.22/0.53  # Removed in clause preprocessing      : 0
% 0.22/0.53  # Initial clauses in saturation        : 51
% 0.22/0.53  # Processed clauses                    : 310
% 0.22/0.53  # ...of these trivial                  : 0
% 0.22/0.53  # ...subsumed                          : 62
% 0.22/0.53  # ...remaining for further processing  : 248
% 0.22/0.53  # Other redundant clauses eliminated   : 0
% 0.22/0.53  # Clauses deleted for lack of memory   : 0
% 0.22/0.53  # Backward-subsumed                    : 142
% 0.22/0.53  # Backward-rewritten                   : 53
% 0.22/0.53  # Generated clauses                    : 460
% 0.22/0.53  # ...of the previous two non-redundant : 285
% 0.22/0.53  # ...aggressively subsumed             : 0
% 0.22/0.53  # Contextual simplify-reflections      : 47
% 0.22/0.53  # Paramodulations                      : 458
% 0.22/0.53  # Factorizations                       : 0
% 0.22/0.53  # NegExts                              : 0
% 0.22/0.53  # Equation resolutions                 : 0
% 0.22/0.53  # Total rewrite steps                  : 63
% 0.22/0.53  # Propositional unsat checks           : 0
% 0.22/0.53  #    Propositional check models        : 0
% 0.22/0.53  #    Propositional check unsatisfiable : 0
% 0.22/0.53  #    Propositional clauses             : 0
% 0.22/0.53  #    Propositional clauses after purity: 0
% 0.22/0.53  #    Propositional unsat core size     : 0
% 0.22/0.53  #    Propositional preprocessing time  : 0.000
% 0.22/0.53  #    Propositional encoding time       : 0.000
% 0.22/0.53  #    Propositional solver time         : 0.000
% 0.22/0.53  #    Success case prop preproc time    : 0.000
% 0.22/0.53  #    Success case prop encoding time   : 0.000
% 0.22/0.53  #    Success case prop solver time     : 0.000
% 0.22/0.53  # Current number of processed clauses  : 4
% 0.22/0.53  #    Positive orientable unit clauses  : 3
% 0.22/0.53  #    Positive unorientable unit clauses: 0
% 0.22/0.53  #    Negative unit clauses             : 1
% 0.22/0.53  #    Non-unit-clauses                  : 0
% 0.22/0.53  # Current number of unprocessed clauses: 42
% 0.22/0.53  # ...number of literals in the above   : 161
% 0.22/0.53  # Current number of archived formulas  : 0
% 0.22/0.53  # Current number of archived clauses   : 244
% 0.22/0.53  # Clause-clause subsumption calls (NU) : 1237
% 0.22/0.53  # Rec. Clause-clause subsumption calls : 662
% 0.22/0.53  # Non-unit clause-clause subsumptions  : 199
% 0.22/0.53  # Unit Clause-clause subsumption calls : 101
% 0.22/0.53  # Rewrite failures with RHS unbound    : 0
% 0.22/0.53  # BW rewrite match attempts            : 13
% 0.22/0.53  # BW rewrite match successes           : 13
% 0.22/0.53  # Condensation attempts                : 0
% 0.22/0.53  # Condensation successes               : 0
% 0.22/0.53  # Termbank termtop insertions          : 11151
% 0.22/0.53  
% 0.22/0.53  # -------------------------------------------------
% 0.22/0.53  # User time                : 0.026 s
% 0.22/0.53  # System time              : 0.001 s
% 0.22/0.53  # Total time               : 0.027 s
% 0.22/0.53  # Maximum resident set size: 1768 pages
% 0.22/0.53  
% 0.22/0.53  # -------------------------------------------------
% 0.22/0.53  # User time                : 0.027 s
% 0.22/0.53  # System time              : 0.004 s
% 0.22/0.53  # Total time               : 0.031 s
% 0.22/0.53  # Maximum resident set size: 1728 pages
% 0.22/0.53  % E---3.1 exiting
% 0.22/0.54  % E---3.1 exiting
%------------------------------------------------------------------------------