TSTP Solution File: SYN271-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN271-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 17:36:51 EDT 2009
% Result : Unsatisfiable 18.3s
% Output : Refutation 18.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 29
% Syntax : Number of formulae : 86 ( 36 unt; 0 def)
% Number of atoms : 160 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 153 ( 79 ~; 74 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 122 ( 23 sgn 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_129,plain,
! [A,B] :
( k2(A,A)
| ~ q1(B,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(150764000,plain,
( k2(A,A)
| ~ q1(B,A,A) ),
inference(rewrite,[status(thm)],[rule_129]),
[] ).
fof(rule_095,plain,
! [A,B] :
( q1(A,B,B)
| ~ p0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(150418392,plain,
( q1(A,B,B)
| ~ p0(B,A) ),
inference(rewrite,[status(thm)],[rule_095]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(149272800,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(163524568,plain,
q1(A,b,b),
inference(resolution,[status(thm)],[150418392,149272800]),
[] ).
cnf(166660728,plain,
k2(b,b),
inference(resolution,[status(thm)],[150764000,163524568]),
[] ).
fof(prove_this,plain,
! [A] : ~ p4(d,A,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(153569040,plain,
~ p4(d,A,a),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_210,plain,
! [A] :
( k3(A,A,A)
| ~ n2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(151880824,plain,
( k3(A,A,A)
| ~ n2(A) ),
inference(rewrite,[status(thm)],[rule_210]),
[] ).
fof(rule_137,plain,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(150875752,plain,
( n2(A)
| ~ p1(B,C,A) ),
inference(rewrite,[status(thm)],[rule_137]),
[] ).
fof(rule_085,plain,
! [A,B] :
( p1(A,A,A)
| ~ p0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(150334448,plain,
( p1(A,A,A)
| ~ p0(B,A) ),
inference(rewrite,[status(thm)],[rule_085]),
[] ).
cnf(163520336,plain,
p1(A,A,A),
inference(resolution,[status(thm)],[150334448,149272800]),
[] ).
cnf(166265944,plain,
n2(A),
inference(resolution,[status(thm)],[150875752,163520336]),
[] ).
cnf(166514568,plain,
k3(A,A,A),
inference(resolution,[status(thm)],[151880824,166265944]),
[] ).
fof(rule_288,plain,
! [A,B,C,D] :
( p4(A,B,B)
| ~ r3(B,B,A)
| ~ p4(C,C,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(152954320,plain,
( p4(A,B,B)
| ~ r3(B,B,A)
| ~ p4(C,C,D) ),
inference(rewrite,[status(thm)],[rule_288]),
[] ).
fof(rule_287,plain,
! [A,B] :
( p4(A,B,A)
| ~ k3(A,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(152940816,plain,
( p4(A,B,A)
| ~ k3(A,A,B) ),
inference(rewrite,[status(thm)],[rule_287]),
[] ).
cnf(167858280,plain,
( p4(A,B,B)
| ~ r3(B,B,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166514568,152954320,152940816]),
[] ).
cnf(177523344,plain,
~ r3(a,a,d),
inference(resolution,[status(thm)],[153569040,167858280]),
[] ).
fof(rule_268,plain,
! [A,B,C,D] :
( r3(A,A,B)
| ~ m2(B)
| ~ m3(C,b,A)
| ~ r3(B,D,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(152681616,plain,
( r3(A,A,B)
| ~ m2(B)
| ~ m3(C,b,A)
| ~ r3(B,D,D) ),
inference(rewrite,[status(thm)],[rule_268]),
[] ).
fof(axiom_37,plain,
n0(b,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(149379096,plain,
n0(b,a),
inference(rewrite,[status(thm)],[axiom_37]),
[] ).
fof(rule_092,plain,
! [A,B,C,D] :
( q1(A,B,A)
| ~ n0(C,B)
| ~ p0(D,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(150387216,plain,
( q1(A,B,A)
| ~ n0(C,B)
| ~ p0(D,A) ),
inference(rewrite,[status(thm)],[rule_092]),
[] ).
cnf(163582448,plain,
( q1(A,B,A)
| ~ n0(C,B) ),
inference(resolution,[status(thm)],[150387216,149272800]),
[] ).
cnf(166995704,plain,
q1(A,a,A),
inference(resolution,[status(thm)],[149379096,163582448]),
[] ).
fof(rule_141,plain,
! [A] :
( p2(A,a,A)
| ~ q1(A,a,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(150931432,plain,
( p2(A,a,A)
| ~ q1(A,a,A) ),
inference(rewrite,[status(thm)],[rule_141]),
[] ).
cnf(167164760,plain,
p2(A,a,A),
inference(resolution,[status(thm)],[166995704,150931432]),
[] ).
fof(rule_267,plain,
! [A,B,C] :
( r3(A,B,A)
| ~ p2(A,C,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(152651112,plain,
( r3(A,B,A)
| ~ p2(A,C,B) ),
inference(rewrite,[status(thm)],[rule_267]),
[] ).
cnf(167500104,plain,
r3(A,A,A),
inference(resolution,[status(thm)],[167164760,152651112]),
[] ).
cnf(171703064,plain,
( r3(A,A,B)
| ~ m2(B)
| ~ m3(C,b,A) ),
inference(resolution,[status(thm)],[152681616,167500104]),
[] ).
fof(axiom_1,plain,
s0(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(149184752,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
fof(rule_135,plain,
! [A,B,C] :
( m2(A)
| ~ s0(A)
| ~ l1(B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(150850608,plain,
( m2(A)
| ~ s0(A)
| ~ l1(B,C) ),
inference(rewrite,[status(thm)],[rule_135]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(149406520,plain,
( l1(A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_002]),
[] ).
fof(axiom_7,plain,
n0(d,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(149232488,plain,
n0(d,b),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(163423944,plain,
l1(b,b),
inference(resolution,[status(thm)],[149406520,149232488]),
[] ).
cnf(164844760,plain,
( m2(A)
| ~ s0(A) ),
inference(resolution,[status(thm)],[150850608,163423944]),
[] ).
cnf(165951624,plain,
m2(d),
inference(resolution,[status(thm)],[149184752,164844760]),
[] ).
cnf(217582968,plain,
( r3(A,A,d)
| ~ m3(B,b,A) ),
inference(resolution,[status(thm)],[171703064,165951624]),
[] ).
fof(rule_231,plain,
! [A,B] :
( m3(A,B,A)
| ~ r2(A)
| ~ k2(c,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(152176280,plain,
( m3(A,B,A)
| ~ r2(A)
| ~ k2(c,B) ),
inference(rewrite,[status(thm)],[rule_231]),
[] ).
fof(rule_097,plain,
! [A] :
( q1(A,A,A)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(150456944,plain,
( q1(A,A,A)
| ~ s0(A) ),
inference(rewrite,[status(thm)],[rule_097]),
[] ).
cnf(151604408,plain,
q1(d,d,d),
inference(resolution,[status(thm)],[150456944,149184752]),
[] ).
fof(rule_124,plain,
! [A,B] :
( r1(A)
| ~ q0(A,B)
| ~ s0(d)
| ~ q1(d,B,d) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(150687856,plain,
( r1(A)
| ~ q0(A,B)
| ~ q1(d,B,d) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,149184752]),
[] ).
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(149288088,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(164004688,plain,
r1(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[151604408,150687856,149288088]),
[] ).
fof(rule_188,plain,
! [A] :
( r2(A)
| ~ r1(A)
| ~ l0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(151584528,plain,
( r2(A)
| ~ r1(A)
| ~ l0(A) ),
inference(rewrite,[status(thm)],[rule_188]),
[] ).
fof(axiom_20,plain,
l0(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(149299928,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
cnf(162246840,plain,
( r2(a)
| ~ r1(a) ),
inference(resolution,[status(thm)],[151584528,149299928]),
[] ).
cnf(170610488,plain,
r2(a),
inference(resolution,[status(thm)],[164004688,162246840]),
[] ).
cnf(172411272,plain,
( m3(a,A,a)
| ~ k2(c,A) ),
inference(resolution,[status(thm)],[152176280,170610488]),
[] ).
cnf(218254904,plain,
( r3(a,a,d)
| ~ k2(c,b) ),
inference(resolution,[status(thm)],[217582968,172411272]),
[] ).
cnf(323706440,plain,
~ k2(c,b),
inference(resolution,[status(thm)],[177523344,218254904]),
[] ).
fof(rule_127,plain,
! [A,B,C,D] :
( k2(A,B)
| ~ m1(C,B,A)
| ~ k1(D)
| ~ k2(D,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(150727672,plain,
( k2(A,B)
| ~ m1(C,B,A)
| ~ k1(D)
| ~ k2(D,B) ),
inference(rewrite,[status(thm)],[rule_127]),
[] ).
fof(rule_021,plain,
! [A,B] :
( m1(A,B,A)
| ~ l0(A)
| ~ k0(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(149625672,plain,
( m1(A,B,A)
| ~ l0(A)
| ~ k0(B) ),
inference(rewrite,[status(thm)],[rule_021]),
[] ).
fof(axiom_32,plain,
k0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(149360384,plain,
k0(b),
inference(rewrite,[status(thm)],[axiom_32]),
[] ).
cnf(162715696,plain,
( m1(A,b,A)
| ~ l0(A) ),
inference(resolution,[status(thm)],[149625672,149360384]),
[] ).
fof(axiom_24,plain,
l0(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(149318152,plain,
l0(c),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
cnf(162725104,plain,
m1(c,b,c),
inference(resolution,[status(thm)],[162715696,149318152]),
[] ).
cnf(430434952,plain,
( ~ k1(A)
| ~ k2(A,b) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[323706440,150727672,162725104]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),
[] ).
cnf(149393064,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
cnf(163415392,plain,
k1(b),
inference(resolution,[status(thm)],[149393064,149232488]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[166660728,430434952,163415392]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 17 seconds
% START OF PROOF SEQUENCE
% fof(rule_129,plain,(k2(A,A)|~q1(B,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(150764000,plain,(k2(A,A)|~q1(B,A,A)),inference(rewrite,[status(thm)],[rule_129]),[]).
%
% fof(rule_095,plain,(q1(A,B,B)|~p0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(150418392,plain,(q1(A,B,B)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_095]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(149272800,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(163524568,plain,(q1(A,b,b)),inference(resolution,[status(thm)],[150418392,149272800]),[]).
%
% cnf(166660728,plain,(k2(b,b)),inference(resolution,[status(thm)],[150764000,163524568]),[]).
%
% fof(prove_this,plain,(~p4(d,A,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(153569040,plain,(~p4(d,A,a)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_210,plain,(k3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(151880824,plain,(k3(A,A,A)|~n2(A)),inference(rewrite,[status(thm)],[rule_210]),[]).
%
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(150875752,plain,(n2(A)|~p1(B,C,A)),inference(rewrite,[status(thm)],[rule_137]),[]).
%
% fof(rule_085,plain,(p1(A,A,A)|~p0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(150334448,plain,(p1(A,A,A)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_085]),[]).
%
% cnf(163520336,plain,(p1(A,A,A)),inference(resolution,[status(thm)],[150334448,149272800]),[]).
%
% cnf(166265944,plain,(n2(A)),inference(resolution,[status(thm)],[150875752,163520336]),[]).
%
% cnf(166514568,plain,(k3(A,A,A)),inference(resolution,[status(thm)],[151880824,166265944]),[]).
%
% fof(rule_288,plain,(p4(A,B,B)|~r3(B,B,A)|~p4(C,C,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(152954320,plain,(p4(A,B,B)|~r3(B,B,A)|~p4(C,C,D)),inference(rewrite,[status(thm)],[rule_288]),[]).
%
% fof(rule_287,plain,(p4(A,B,A)|~k3(A,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(152940816,plain,(p4(A,B,A)|~k3(A,A,B)),inference(rewrite,[status(thm)],[rule_287]),[]).
%
% cnf(167858280,plain,(p4(A,B,B)|~r3(B,B,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166514568,152954320,152940816]),[]).
%
% cnf(177523344,plain,(~r3(a,a,d)),inference(resolution,[status(thm)],[153569040,167858280]),[]).
%
% fof(rule_268,plain,(r3(A,A,B)|~m2(B)|~m3(C,b,A)|~r3(B,D,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(152681616,plain,(r3(A,A,B)|~m2(B)|~m3(C,b,A)|~r3(B,D,D)),inference(rewrite,[status(thm)],[rule_268]),[]).
%
% fof(axiom_37,plain,(n0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(149379096,plain,(n0(b,a)),inference(rewrite,[status(thm)],[axiom_37]),[]).
%
% fof(rule_092,plain,(q1(A,B,A)|~n0(C,B)|~p0(D,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(150387216,plain,(q1(A,B,A)|~n0(C,B)|~p0(D,A)),inference(rewrite,[status(thm)],[rule_092]),[]).
%
% cnf(163582448,plain,(q1(A,B,A)|~n0(C,B)),inference(resolution,[status(thm)],[150387216,149272800]),[]).
%
% cnf(166995704,plain,(q1(A,a,A)),inference(resolution,[status(thm)],[149379096,163582448]),[]).
%
% fof(rule_141,plain,(p2(A,a,A)|~q1(A,a,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(150931432,plain,(p2(A,a,A)|~q1(A,a,A)),inference(rewrite,[status(thm)],[rule_141]),[]).
%
% cnf(167164760,plain,(p2(A,a,A)),inference(resolution,[status(thm)],[166995704,150931432]),[]).
%
% fof(rule_267,plain,(r3(A,B,A)|~p2(A,C,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(152651112,plain,(r3(A,B,A)|~p2(A,C,B)),inference(rewrite,[status(thm)],[rule_267]),[]).
%
% cnf(167500104,plain,(r3(A,A,A)),inference(resolution,[status(thm)],[167164760,152651112]),[]).
%
% cnf(171703064,plain,(r3(A,A,B)|~m2(B)|~m3(C,b,A)),inference(resolution,[status(thm)],[152681616,167500104]),[]).
%
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(149184752,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% fof(rule_135,plain,(m2(A)|~s0(A)|~l1(B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(150850608,plain,(m2(A)|~s0(A)|~l1(B,C)),inference(rewrite,[status(thm)],[rule_135]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(149406520,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
%
% fof(axiom_7,plain,(n0(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(149232488,plain,(n0(d,b)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(163423944,plain,(l1(b,b)),inference(resolution,[status(thm)],[149406520,149232488]),[]).
%
% cnf(164844760,plain,(m2(A)|~s0(A)),inference(resolution,[status(thm)],[150850608,163423944]),[]).
%
% cnf(165951624,plain,(m2(d)),inference(resolution,[status(thm)],[149184752,164844760]),[]).
%
% cnf(217582968,plain,(r3(A,A,d)|~m3(B,b,A)),inference(resolution,[status(thm)],[171703064,165951624]),[]).
%
% fof(rule_231,plain,(m3(A,B,A)|~r2(A)|~k2(c,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(152176280,plain,(m3(A,B,A)|~r2(A)|~k2(c,B)),inference(rewrite,[status(thm)],[rule_231]),[]).
%
% fof(rule_097,plain,(q1(A,A,A)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(150456944,plain,(q1(A,A,A)|~s0(A)),inference(rewrite,[status(thm)],[rule_097]),[]).
%
% cnf(151604408,plain,(q1(d,d,d)),inference(resolution,[status(thm)],[150456944,149184752]),[]).
%
% fof(rule_124,plain,(r1(A)|~q0(A,B)|~s0(d)|~q1(d,B,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(150687856,plain,(r1(A)|~q0(A,B)|~q1(d,B,d)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,149184752]),[]).
%
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(149288088,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(164004688,plain,(r1(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[151604408,150687856,149288088]),[]).
%
% fof(rule_188,plain,(r2(A)|~r1(A)|~l0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(151584528,plain,(r2(A)|~r1(A)|~l0(A)),inference(rewrite,[status(thm)],[rule_188]),[]).
%
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(149299928,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% cnf(162246840,plain,(r2(a)|~r1(a)),inference(resolution,[status(thm)],[151584528,149299928]),[]).
%
% cnf(170610488,plain,(r2(a)),inference(resolution,[status(thm)],[164004688,162246840]),[]).
%
% cnf(172411272,plain,(m3(a,A,a)|~k2(c,A)),inference(resolution,[status(thm)],[152176280,170610488]),[]).
%
% cnf(218254904,plain,(r3(a,a,d)|~k2(c,b)),inference(resolution,[status(thm)],[217582968,172411272]),[]).
%
% cnf(323706440,plain,(~k2(c,b)),inference(resolution,[status(thm)],[177523344,218254904]),[]).
%
% fof(rule_127,plain,(k2(A,B)|~m1(C,B,A)|~k1(D)|~k2(D,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(150727672,plain,(k2(A,B)|~m1(C,B,A)|~k1(D)|~k2(D,B)),inference(rewrite,[status(thm)],[rule_127]),[]).
%
% fof(rule_021,plain,(m1(A,B,A)|~l0(A)|~k0(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(149625672,plain,(m1(A,B,A)|~l0(A)|~k0(B)),inference(rewrite,[status(thm)],[rule_021]),[]).
%
% fof(axiom_32,plain,(k0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(149360384,plain,(k0(b)),inference(rewrite,[status(thm)],[axiom_32]),[]).
%
% cnf(162715696,plain,(m1(A,b,A)|~l0(A)),inference(resolution,[status(thm)],[149625672,149360384]),[]).
%
% fof(axiom_24,plain,(l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(149318152,plain,(l0(c)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% cnf(162725104,plain,(m1(c,b,c)),inference(resolution,[status(thm)],[162715696,149318152]),[]).
%
% cnf(430434952,plain,(~k1(A)|~k2(A,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[323706440,150727672,162725104]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN271-1.tptp',unknown),[]).
%
% cnf(149393064,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% cnf(163415392,plain,(k1(b)),inference(resolution,[status(thm)],[149393064,149232488]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[166660728,430434952,163415392]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------