TSTP Solution File: SYN190-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN190-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.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 17:11:08 EDT 2009
% Result : Unsatisfiable 17.4s
% Output : Refutation 17.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 26
% Syntax : Number of formulae : 73 ( 34 unt; 0 def)
% Number of atoms : 138 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 135 ( 70 ~; 65 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 90 ( 22 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),
[] ).
cnf(174173864,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
fof(axiom_7,plain,
n0(d,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),
[] ).
cnf(174013288,plain,
n0(d,b),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(188077784,plain,
k1(b),
inference(resolution,[status(thm)],[174173864,174013288]),
[] ).
fof(rule_097,plain,
! [A] :
( q1(A,A,A)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),
[] ).
cnf(175237744,plain,
( q1(A,A,A)
| ~ s0(A) ),
inference(rewrite,[status(thm)],[rule_097]),
[] ).
fof(axiom_1,plain,
s0(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),
[] ).
cnf(173965552,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(186647816,plain,
q1(d,d,d),
inference(resolution,[status(thm)],[175237744,173965552]),
[] ).
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/SYN190-1.tptp',unknown),
[] ).
cnf(175468656,plain,
( r1(A)
| ~ q0(A,B)
| ~ q1(d,B,d) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,173965552]),
[] ).
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),
[] ).
cnf(174068888,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(188622880,plain,
r1(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[186647816,175468656,174068888]),
[] ).
fof(rule_188,plain,
! [A] :
( r2(A)
| ~ r1(A)
| ~ l0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),
[] ).
cnf(176365328,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/SYN190-1.tptp',unknown),
[] ).
cnf(174080728,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
cnf(187031600,plain,
( r2(a)
| ~ r1(a) ),
inference(resolution,[status(thm)],[176365328,174080728]),
[] ).
cnf(195656048,plain,
r2(a),
inference(resolution,[status(thm)],[188622880,187031600]),
[] ).
fof(prove_this,plain,
! [A] : ~ r3(a,A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),
[] ).
cnf(178350488,plain,
~ r3(a,A,d),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_190,plain,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),
[] ).
cnf(176387048,plain,
( s2(d)
| ~ s1(a) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_190,173965552]),
[] ).
fof(rule_126,plain,
! [A,B,C] :
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),
[] ).
cnf(175492976,plain,
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
inference(rewrite,[status(thm)],[rule_126]),
[] ).
cnf(188617616,plain,
( s1(A)
| ~ s1(B) ),
inference(resolution,[status(thm)],[175492976,174068888]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),
[] ).
cnf(175480832,plain,
( s1(A)
| ~ p0(A,A) ),
inference(rewrite,[status(thm)],[rule_125]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),
[] ).
cnf(174053600,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(188170944,plain,
s1(b),
inference(resolution,[status(thm)],[175480832,174053600]),
[] ).
cnf(190734760,plain,
s1(A),
inference(resolution,[status(thm)],[188617616,188170944]),
[] ).
cnf(190739208,plain,
s2(d),
inference(resolution,[status(thm)],[176387048,190734760]),
[] ).
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/SYN190-1.tptp',unknown),
[] ).
cnf(177462416,plain,
( r3(A,A,B)
| ~ m2(B)
| ~ m3(C,b,A)
| ~ r3(B,D,D) ),
inference(rewrite,[status(thm)],[rule_268]),
[] ).
fof(rule_135,plain,
! [A,B,C] :
( m2(A)
| ~ s0(A)
| ~ l1(B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),
[] ).
cnf(175631408,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/SYN190-1.tptp',unknown),
[] ).
cnf(174187320,plain,
( l1(A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_002]),
[] ).
fof(axiom_3,plain,
n0(d,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),
[] ).
cnf(173984024,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(187514032,plain,
l1(e,e),
inference(resolution,[status(thm)],[174187320,173984024]),
[] ).
cnf(189181888,plain,
( m2(A)
| ~ s0(A) ),
inference(resolution,[status(thm)],[175631408,187514032]),
[] ).
cnf(190654760,plain,
( r3(A,A,B)
| ~ m3(C,b,A)
| ~ r3(B,D,D)
| ~ s0(B) ),
inference(resolution,[status(thm)],[177462416,189181888]),
[] ).
cnf(190675824,plain,
( r3(A,A,d)
| ~ m3(B,b,A)
| ~ r3(d,C,C) ),
inference(resolution,[status(thm)],[190654760,173965552]),
[] ).
fof(rule_264,plain,
! [A] :
( r3(A,A,A)
| ~ s2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),
[] ).
cnf(177403720,plain,
( r3(A,A,A)
| ~ s2(A) ),
inference(rewrite,[status(thm)],[rule_264]),
[] ).
cnf(191581696,plain,
( r3(A,A,d)
| ~ m3(B,b,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[190739208,190675824,177403720]),
[] ).
cnf(204131936,plain,
~ m3(A,b,a),
inference(resolution,[status(thm)],[178350488,191581696]),
[] ).
fof(rule_231,plain,
! [A,B] :
( m3(A,B,A)
| ~ r2(A)
| ~ k2(c,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),
[] ).
cnf(176957080,plain,
( m3(A,B,A)
| ~ r2(A)
| ~ k2(c,B) ),
inference(rewrite,[status(thm)],[rule_231]),
[] ).
cnf(221247736,plain,
~ k2(c,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[195656048,204131936,176957080]),
[] ).
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/SYN190-1.tptp',unknown),
[] ).
cnf(175508472,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/SYN190-1.tptp',unknown),
[] ).
cnf(174406472,plain,
( m1(A,B,A)
| ~ l0(A)
| ~ k0(B) ),
inference(rewrite,[status(thm)],[rule_021]),
[] ).
fof(axiom_24,plain,
l0(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),
[] ).
cnf(174098952,plain,
l0(c),
inference(rewrite,[status(thm)],[axiom_24]),
[] ).
cnf(187218176,plain,
( m1(c,A,c)
| ~ k0(A) ),
inference(resolution,[status(thm)],[174406472,174098952]),
[] ).
fof(axiom_32,plain,
k0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),
[] ).
cnf(174141184,plain,
k0(b),
inference(rewrite,[status(thm)],[axiom_32]),
[] ).
cnf(194513280,plain,
m1(c,b,c),
inference(resolution,[status(thm)],[187218176,174141184]),
[] ).
cnf(452055520,plain,
( ~ k1(A)
| ~ k2(A,b) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[221247736,175508472,194513280]),
[] ).
fof(rule_129,plain,
! [A,B] :
( k2(A,A)
| ~ q1(B,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),
[] ).
cnf(175544800,plain,
( k2(A,A)
| ~ q1(B,A,A) ),
inference(rewrite,[status(thm)],[rule_129]),
[] ).
fof(rule_107,plain,
! [A] :
( q1(e,A,A)
| ~ m0(A,d,A)
| ~ m0(e,d,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),
[] ).
cnf(174076368,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(175334136,plain,
q1(e,A,A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,174076368]),
[] ).
cnf(190547216,plain,
k2(A,A),
inference(resolution,[status(thm)],[175544800,175334136]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[188077784,452055520,190547216]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 17 seconds
% START OF PROOF SEQUENCE
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% cnf(174173864,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% fof(axiom_7,plain,(n0(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% cnf(174013288,plain,(n0(d,b)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(188077784,plain,(k1(b)),inference(resolution,[status(thm)],[174173864,174013288]),[]).
%
% fof(rule_097,plain,(q1(A,A,A)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% cnf(175237744,plain,(q1(A,A,A)|~s0(A)),inference(rewrite,[status(thm)],[rule_097]),[]).
%
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% cnf(173965552,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(186647816,plain,(q1(d,d,d)),inference(resolution,[status(thm)],[175237744,173965552]),[]).
%
% fof(rule_124,plain,(r1(A)|~q0(A,B)|~s0(d)|~q1(d,B,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% cnf(175468656,plain,(r1(A)|~q0(A,B)|~q1(d,B,d)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,173965552]),[]).
%
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% cnf(174068888,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(188622880,plain,(r1(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[186647816,175468656,174068888]),[]).
%
% fof(rule_188,plain,(r2(A)|~r1(A)|~l0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% cnf(176365328,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/SYN190-1.tptp',unknown),[]).
%
% cnf(174080728,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% cnf(187031600,plain,(r2(a)|~r1(a)),inference(resolution,[status(thm)],[176365328,174080728]),[]).
%
% cnf(195656048,plain,(r2(a)),inference(resolution,[status(thm)],[188622880,187031600]),[]).
%
% fof(prove_this,plain,(~r3(a,A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% cnf(178350488,plain,(~r3(a,A,d)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_190,plain,(s2(d)|~s1(a)|~s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% cnf(176387048,plain,(s2(d)|~s1(a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_190,173965552]),[]).
%
% fof(rule_126,plain,(s1(A)|~q0(A,B)|~s1(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% cnf(175492976,plain,(s1(A)|~q0(A,B)|~s1(C)),inference(rewrite,[status(thm)],[rule_126]),[]).
%
% cnf(188617616,plain,(s1(A)|~s1(B)),inference(resolution,[status(thm)],[175492976,174068888]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% cnf(175480832,plain,(s1(A)|~p0(A,A)),inference(rewrite,[status(thm)],[rule_125]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% cnf(174053600,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(188170944,plain,(s1(b)),inference(resolution,[status(thm)],[175480832,174053600]),[]).
%
% cnf(190734760,plain,(s1(A)),inference(resolution,[status(thm)],[188617616,188170944]),[]).
%
% cnf(190739208,plain,(s2(d)),inference(resolution,[status(thm)],[176387048,190734760]),[]).
%
% 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/SYN190-1.tptp',unknown),[]).
%
% cnf(177462416,plain,(r3(A,A,B)|~m2(B)|~m3(C,b,A)|~r3(B,D,D)),inference(rewrite,[status(thm)],[rule_268]),[]).
%
% fof(rule_135,plain,(m2(A)|~s0(A)|~l1(B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% cnf(175631408,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/SYN190-1.tptp',unknown),[]).
%
% cnf(174187320,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
%
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% cnf(173984024,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(187514032,plain,(l1(e,e)),inference(resolution,[status(thm)],[174187320,173984024]),[]).
%
% cnf(189181888,plain,(m2(A)|~s0(A)),inference(resolution,[status(thm)],[175631408,187514032]),[]).
%
% cnf(190654760,plain,(r3(A,A,B)|~m3(C,b,A)|~r3(B,D,D)|~s0(B)),inference(resolution,[status(thm)],[177462416,189181888]),[]).
%
% cnf(190675824,plain,(r3(A,A,d)|~m3(B,b,A)|~r3(d,C,C)),inference(resolution,[status(thm)],[190654760,173965552]),[]).
%
% fof(rule_264,plain,(r3(A,A,A)|~s2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% cnf(177403720,plain,(r3(A,A,A)|~s2(A)),inference(rewrite,[status(thm)],[rule_264]),[]).
%
% cnf(191581696,plain,(r3(A,A,d)|~m3(B,b,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[190739208,190675824,177403720]),[]).
%
% cnf(204131936,plain,(~m3(A,b,a)),inference(resolution,[status(thm)],[178350488,191581696]),[]).
%
% fof(rule_231,plain,(m3(A,B,A)|~r2(A)|~k2(c,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% cnf(176957080,plain,(m3(A,B,A)|~r2(A)|~k2(c,B)),inference(rewrite,[status(thm)],[rule_231]),[]).
%
% cnf(221247736,plain,(~k2(c,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[195656048,204131936,176957080]),[]).
%
% 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/SYN190-1.tptp',unknown),[]).
%
% cnf(175508472,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/SYN190-1.tptp',unknown),[]).
%
% cnf(174406472,plain,(m1(A,B,A)|~l0(A)|~k0(B)),inference(rewrite,[status(thm)],[rule_021]),[]).
%
% fof(axiom_24,plain,(l0(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% cnf(174098952,plain,(l0(c)),inference(rewrite,[status(thm)],[axiom_24]),[]).
%
% cnf(187218176,plain,(m1(c,A,c)|~k0(A)),inference(resolution,[status(thm)],[174406472,174098952]),[]).
%
% fof(axiom_32,plain,(k0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% cnf(174141184,plain,(k0(b)),inference(rewrite,[status(thm)],[axiom_32]),[]).
%
% cnf(194513280,plain,(m1(c,b,c)),inference(resolution,[status(thm)],[187218176,174141184]),[]).
%
% cnf(452055520,plain,(~k1(A)|~k2(A,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[221247736,175508472,194513280]),[]).
%
% fof(rule_129,plain,(k2(A,A)|~q1(B,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% cnf(175544800,plain,(k2(A,A)|~q1(B,A,A)),inference(rewrite,[status(thm)],[rule_129]),[]).
%
% fof(rule_107,plain,(q1(e,A,A)|~m0(A,d,A)|~m0(e,d,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN190-1.tptp',unknown),[]).
%
% cnf(174076368,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(175334136,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,174076368]),[]).
%
% cnf(190547216,plain,(k2(A,A)),inference(resolution,[status(thm)],[175544800,175334136]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[188077784,452055520,190547216]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------