TSTP Solution File: SYN159-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN159-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 17:02:11 EDT 2009
% Result : Unsatisfiable 285.4s
% Output : Refutation 285.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 46
% Syntax : Number of formulae : 146 ( 60 unt; 0 def)
% Number of atoms : 283 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 280 ( 143 ~; 137 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 29 ( 28 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 221 ( 54 sgn 82 !; 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/SYN159-1.tptp',unknown),
[] ).
cnf(156074376,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/SYN159-1.tptp',unknown),
[] ).
cnf(155913800,plain,
n0(d,b),
inference(rewrite,[status(thm)],[axiom_7]),
[] ).
cnf(169981120,plain,
k1(b),
inference(resolution,[status(thm)],[156074376,155913800]),
[] ).
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/SYN159-1.tptp',unknown),
[] ).
cnf(157408984,plain,
( k2(A,B)
| ~ m1(C,B,A)
| ~ k1(D)
| ~ k2(D,B) ),
inference(rewrite,[status(thm)],[rule_127]),
[] ).
fof(rule_007,plain,
! [A,B,C] :
( m1(A,B,A)
| ~ p0(C,B)
| ~ r0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(156157824,plain,
( m1(A,B,A)
| ~ p0(C,B)
| ~ r0(A) ),
inference(rewrite,[status(thm)],[rule_007]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(155954112,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(170367312,plain,
( m1(A,B,A)
| ~ r0(A) ),
inference(resolution,[status(thm)],[156157824,155954112]),
[] ).
fof(axiom_9,plain,
r0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(155926168,plain,
r0(b),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
cnf(170371720,plain,
m1(b,A,b),
inference(resolution,[status(thm)],[170367312,155926168]),
[] ).
cnf(179115520,plain,
( k2(b,A)
| ~ k1(B)
| ~ k2(B,A) ),
inference(resolution,[status(thm)],[157408984,170371720]),
[] ).
fof(rule_129,plain,
! [A,B] :
( k2(A,A)
| ~ q1(B,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(157445312,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/SYN159-1.tptp',unknown),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(155976880,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(157234648,plain,
q1(e,A,A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,155976880]),
[] ).
cnf(172368400,plain,
k2(A,A),
inference(resolution,[status(thm)],[157445312,157234648]),
[] ).
cnf(441279576,plain,
( k2(b,A)
| ~ k1(A) ),
inference(resolution,[status(thm)],[179115520,172368400]),
[] ).
fof(axiom_34,plain,
n0(c,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(156049152,plain,
n0(c,d),
inference(rewrite,[status(thm)],[axiom_34]),
[] ).
cnf(172904272,plain,
k1(d),
inference(resolution,[status(thm)],[156049152,156074376]),
[] ).
cnf(441494400,plain,
k2(b,d),
inference(resolution,[status(thm)],[441279576,172904272]),
[] ).
cnf(441874904,plain,
( k2(A,d)
| ~ m1(B,d,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[169981120,441494400,157408984]),
[] ).
fof(rule_005,plain,
! [A,B] :
( m1(A,B,A)
| ~ m0(B,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(156139360,plain,
( m1(A,B,A)
| ~ m0(B,B,A) ),
inference(rewrite,[status(thm)],[rule_005]),
[] ).
cnf(174207456,plain,
m1(A,d,A),
inference(resolution,[status(thm)],[155976880,156139360]),
[] ).
cnf(446175424,plain,
k2(A,d),
inference(resolution,[status(thm)],[441874904,174207456]),
[] ).
fof(rule_202,plain,
! [A,B,C,D,E] :
( k3(A,A,B)
| ~ q0(C,B)
| ~ k2(A,D)
| ~ k3(B,E,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(158474360,plain,
( k3(A,A,B)
| ~ q0(C,B)
| ~ k2(A,D)
| ~ k3(B,E,D) ),
inference(rewrite,[status(thm)],[rule_202]),
[] ).
fof(rule_201,plain,
! [A,B,C,D] :
( k3(A,A,B)
| ~ p1(B,C,A)
| ~ m2(D)
| ~ m2(C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(158452144,plain,
( k3(A,A,B)
| ~ p1(B,C,A)
| ~ m2(D)
| ~ m2(C) ),
inference(rewrite,[status(thm)],[rule_201]),
[] ).
fof(rule_136,plain,
( m2(b)
| ~ k1(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(157544000,plain,
( m2(b)
| ~ k1(b) ),
inference(rewrite,[status(thm)],[rule_136]),
[] ).
cnf(170051336,plain,
m2(b),
inference(resolution,[status(thm)],[157544000,169981120]),
[] ).
cnf(170240504,plain,
( k3(A,A,B)
| ~ p1(B,C,A)
| ~ m2(C) ),
inference(resolution,[status(thm)],[158452144,170051336]),
[] ).
fof(rule_069,plain,
! [A,B] :
( p1(A,A,B)
| ~ p0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(156844784,plain,
( p1(A,A,B)
| ~ p0(B,A) ),
inference(rewrite,[status(thm)],[rule_069]),
[] ).
cnf(170349088,plain,
p1(A,A,b),
inference(resolution,[status(thm)],[156844784,155954112]),
[] ).
cnf(203298552,plain,
( k3(b,b,A)
| ~ m2(A) ),
inference(resolution,[status(thm)],[170240504,170349088]),
[] ).
fof(rule_135,plain,
! [A,B,C] :
( m2(A)
| ~ s0(A)
| ~ l1(B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(157531920,plain,
( m2(A)
| ~ s0(A)
| ~ l1(B,C) ),
inference(rewrite,[status(thm)],[rule_135]),
[] ).
fof(axiom_1,plain,
s0(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(155866064,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(168562296,plain,
( m2(d)
| ~ l1(A,B) ),
inference(resolution,[status(thm)],[157531920,155866064]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(156087832,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/SYN159-1.tptp',unknown),
[] ).
cnf(155884536,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(169426120,plain,
l1(e,e),
inference(resolution,[status(thm)],[156087832,155884536]),
[] ).
cnf(171302528,plain,
m2(d),
inference(resolution,[status(thm)],[168562296,169426120]),
[] ).
cnf(203845392,plain,
k3(b,b,d),
inference(resolution,[status(thm)],[203298552,171302528]),
[] ).
cnf(127549448,plain,
( k3(A,A,b)
| ~ q0(B,b) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[446175424,158474360,203845392]),
[] ).
fof(axiom_6,plain,
q0(b,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(155863552,plain,
q0(b,b),
inference(rewrite,[status(thm)],[axiom_6]),
[] ).
cnf(127619251,plain,
k3(A,A,b),
inference(resolution,[status(thm)],[127549448,155863552]),
[] ).
fof(rule_295,plain,
! [A,B,C,D,E] :
( q4(A,B)
| ~ k3(C,C,A)
| ~ q2(D,B,A)
| ~ m3(D,E,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(159734672,plain,
( q4(A,B)
| ~ k3(C,C,A)
| ~ q2(D,B,A)
| ~ m3(D,E,D) ),
inference(rewrite,[status(thm)],[rule_295]),
[] ).
fof(rule_186,plain,
! [A,B] :
( q2(A,A,B)
| ~ l1(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(158231616,plain,
( q2(A,A,B)
| ~ l1(B,A) ),
inference(rewrite,[status(thm)],[rule_186]),
[] ).
cnf(169989672,plain,
l1(b,b),
inference(resolution,[status(thm)],[156087832,155913800]),
[] ).
cnf(171404760,plain,
q2(b,b,b),
inference(resolution,[status(thm)],[158231616,169989672]),
[] ).
cnf(172723707,plain,
( q4(b,b)
| ~ m3(b,B,b) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[127619251,159734672,171404760]),
[] ).
fof(rule_238,plain,
! [A] :
( m3(A,A,A)
| ~ p2(A,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(158950000,plain,
( m3(A,A,A)
| ~ p2(A,A,A) ),
inference(rewrite,[status(thm)],[rule_238]),
[] ).
fof(rule_159,plain,
! [A] :
( p2(A,A,A)
| ~ k1(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(157866168,plain,
( p2(A,A,A)
| ~ k1(A) ),
inference(rewrite,[status(thm)],[rule_159]),
[] ).
cnf(170065064,plain,
p2(b,b,b),
inference(resolution,[status(thm)],[157866168,169981120]),
[] ).
cnf(172741600,plain,
m3(b,b,b),
inference(resolution,[status(thm)],[158950000,170065064]),
[] ).
cnf(172731600,plain,
q4(b,b),
inference(resolution,[status(thm)],[172723707,172741600]),
[] ).
fof(axiom_18,plain,
p0(c,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(155862152,plain,
p0(c,b),
inference(rewrite,[status(thm)],[axiom_18]),
[] ).
fof(rule_003,plain,
! [A,B,C,D] :
( l1(A,B)
| ~ p0(C,A)
| ~ r0(D)
| ~ m0(B,A,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(156111056,plain,
( l1(A,B)
| ~ p0(C,A)
| ~ r0(D)
| ~ m0(B,A,C) ),
inference(rewrite,[status(thm)],[rule_003]),
[] ).
cnf(168785688,plain,
( l1(A,B)
| ~ p0(C,A)
| ~ m0(B,A,C) ),
inference(resolution,[status(thm)],[156111056,155926168]),
[] ).
fof(axiom_27,plain,
m0(e,b,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(156015152,plain,
m0(e,b,c),
inference(rewrite,[status(thm)],[axiom_27]),
[] ).
cnf(197014704,plain,
l1(b,e),
inference(forward_subsumption_resolution__resolution,[status(thm)],[155862152,168785688,156015152]),
[] ).
cnf(197819088,plain,
q2(e,e,b),
inference(resolution,[status(thm)],[197014704,158231616]),
[] ).
fof(rule_274,plain,
( k4(c)
| ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(159462080,plain,
( k4(c)
| ~ q3(e,b)
| ~ n3(e) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_274,156049152]),
[] ).
fof(rule_240,plain,
! [A,B,C] :
( n3(A)
| ~ p2(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(158973632,plain,
( n3(A)
| ~ p2(B,C,A) ),
inference(rewrite,[status(thm)],[rule_240]),
[] ).
cnf(169415512,plain,
k1(e),
inference(resolution,[status(thm)],[156074376,155884536]),
[] ).
cnf(169540760,plain,
p2(e,e,e),
inference(resolution,[status(thm)],[157866168,169415512]),
[] ).
cnf(172599928,plain,
n3(e),
inference(resolution,[status(thm)],[158973632,169540760]),
[] ).
cnf(172648072,plain,
( k4(c)
| ~ q3(e,b) ),
inference(resolution,[status(thm)],[159462080,172599928]),
[] ).
fof(prove_this,plain,
~ n5(a,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(160250312,plain,
~ n5(a,e),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_284,plain,
! [A,B] :
( n4(A,A)
| ~ k4(B)
| ~ m3(A,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(159586320,plain,
( n4(A,A)
| ~ k4(B)
| ~ m3(A,A,A) ),
inference(rewrite,[status(thm)],[rule_284]),
[] ).
fof(rule_236,plain,
! [A] :
( m3(A,A,A)
| ~ n2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(158926000,plain,
( m3(A,A,A)
| ~ n2(A) ),
inference(rewrite,[status(thm)],[rule_236]),
[] ).
fof(rule_137,plain,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(157557064,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/SYN159-1.tptp',unknown),
[] ).
cnf(157015760,plain,
( p1(A,A,A)
| ~ p0(B,A) ),
inference(rewrite,[status(thm)],[rule_085]),
[] ).
cnf(170358648,plain,
p1(A,A,A),
inference(resolution,[status(thm)],[157015760,155954112]),
[] ).
cnf(174378400,plain,
n2(A),
inference(resolution,[status(thm)],[157557064,170358648]),
[] ).
cnf(174394064,plain,
m3(A,A,A),
inference(resolution,[status(thm)],[158926000,174378400]),
[] ).
cnf(179037944,plain,
( n4(A,A)
| ~ k4(B) ),
inference(resolution,[status(thm)],[159586320,174394064]),
[] ).
fof(rule_309,plain,
! [A,B] :
( n5(A,A)
| ~ n4(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(159945480,plain,
( n5(A,A)
| ~ n4(B,A) ),
inference(rewrite,[status(thm)],[rule_309]),
[] ).
cnf(179496896,plain,
( ~ k4(B)
| n5(A,A) ),
inference(resolution,[status(thm)],[179037944,159945480]),
[] ).
fof(rule_194,plain,
! [A,B] :
( k3(A,A,B)
| ~ k2(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(158350752,plain,
( k3(A,A,B)
| ~ k2(B,A) ),
inference(rewrite,[status(thm)],[rule_194]),
[] ).
cnf(172392656,plain,
k3(A,A,A),
inference(resolution,[status(thm)],[158350752,172368400]),
[] ).
fof(rule_307,plain,
! [A,B,C,D,E] :
( n5(A,B)
| ~ q4(C,D)
| ~ n4(A,D)
| ~ p4(E,E,B)
| ~ n5(E,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(159924792,plain,
( n5(A,B)
| ~ q4(C,D)
| ~ n4(A,D)
| ~ p4(E,E,B)
| ~ n5(E,B) ),
inference(rewrite,[status(thm)],[rule_307]),
[] ).
fof(rule_287,plain,
! [A,B] :
( p4(A,B,A)
| ~ k3(A,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(159622128,plain,
( p4(A,B,A)
| ~ k3(A,A,B) ),
inference(rewrite,[status(thm)],[rule_287]),
[] ).
cnf(175081128,plain,
( n5(A,B)
| ~ q4(C,D)
| ~ n4(A,D)
| ~ n5(B,B) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[172392656,159924792,159622128]),
[] ).
cnf(184642560,plain,
( n5(A,B)
| ~ q4(C,A)
| ~ k4(D) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[179496896,175081128,179037944]),
[] ).
cnf(184743792,plain,
( ~ q4(A,a)
| ~ k4(B) ),
inference(resolution,[status(thm)],[160250312,184642560]),
[] ).
cnf(184777560,plain,
( ~ q3(e,b)
| ~ q4(A,a) ),
inference(resolution,[status(thm)],[172648072,184743792]),
[] ).
fof(rule_255,plain,
! [A,B,C] :
( q3(A,B)
| ~ q2(C,A,B)
| ~ n0(C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(159172328,plain,
( q3(A,B)
| ~ q2(C,A,B)
| ~ n0(C,A) ),
inference(rewrite,[status(thm)],[rule_255]),
[] ).
fof(axiom_30,plain,
n0(e,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(156034288,plain,
n0(e,e),
inference(rewrite,[status(thm)],[axiom_30]),
[] ).
cnf(191209008,plain,
( q3(e,A)
| ~ q2(e,e,A) ),
inference(resolution,[status(thm)],[159172328,156034288]),
[] ).
cnf(205346600,plain,
~ q4(A,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[197819088,184777560,191209008]),
[] ).
fof(rule_097,plain,
! [A] :
( q1(A,A,A)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(157138256,plain,
( q1(A,A,A)
| ~ s0(A) ),
inference(rewrite,[status(thm)],[rule_097]),
[] ).
cnf(158285736,plain,
q1(d,d,d),
inference(resolution,[status(thm)],[157138256,155866064]),
[] ).
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/SYN159-1.tptp',unknown),
[] ).
cnf(157369168,plain,
( r1(A)
| ~ q0(A,B)
| ~ q1(d,B,d) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,155866064]),
[] ).
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(155969400,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(177448416,plain,
r1(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[158285736,157369168,155969400]),
[] ).
fof(rule_296,plain,
! [A,B,C] :
( q4(A,A)
| ~ r1(A)
| ~ l4(B)
| ~ q4(B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(159753664,plain,
( q4(A,A)
| ~ r1(A)
| ~ l4(B)
| ~ q4(B,C) ),
inference(rewrite,[status(thm)],[rule_296]),
[] ).
fof(rule_244,plain,
! [A] :
( p3(A,A,A)
| ~ n2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(159037160,plain,
( p3(A,A,A)
| ~ n2(A) ),
inference(rewrite,[status(thm)],[rule_244]),
[] ).
fof(rule_277,plain,
! [A,B,C] :
( l4(A)
| ~ p3(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),
[] ).
cnf(159502448,plain,
( l4(A)
| ~ p3(B,C,A) ),
inference(rewrite,[status(thm)],[rule_277]),
[] ).
cnf(173243000,plain,
( ~ n2(A)
| l4(A) ),
inference(resolution,[status(thm)],[159037160,159502448]),
[] ).
cnf(173338936,plain,
( ~ p1(B,C,A)
| l4(A) ),
inference(resolution,[status(thm)],[157557064,173243000]),
[] ).
cnf(174382752,plain,
l4(A),
inference(resolution,[status(thm)],[173338936,170358648]),
[] ).
cnf(224894512,plain,
( q4(A,A)
| ~ q4(B,C) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[177448416,159753664,174382752]),
[] ).
cnf(233197976,plain,
~ q4(A,B),
inference(resolution,[status(thm)],[205346600,224894512]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[172731600,233197976]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 363 seconds
% START OF PROOF SEQUENCE
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(156074376,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/SYN159-1.tptp',unknown),[]).
%
% cnf(155913800,plain,(n0(d,b)),inference(rewrite,[status(thm)],[axiom_7]),[]).
%
% cnf(169981120,plain,(k1(b)),inference(resolution,[status(thm)],[156074376,155913800]),[]).
%
% 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/SYN159-1.tptp',unknown),[]).
%
% cnf(157408984,plain,(k2(A,B)|~m1(C,B,A)|~k1(D)|~k2(D,B)),inference(rewrite,[status(thm)],[rule_127]),[]).
%
% fof(rule_007,plain,(m1(A,B,A)|~p0(C,B)|~r0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(156157824,plain,(m1(A,B,A)|~p0(C,B)|~r0(A)),inference(rewrite,[status(thm)],[rule_007]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(155954112,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(170367312,plain,(m1(A,B,A)|~r0(A)),inference(resolution,[status(thm)],[156157824,155954112]),[]).
%
% fof(axiom_9,plain,(r0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(155926168,plain,(r0(b)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% cnf(170371720,plain,(m1(b,A,b)),inference(resolution,[status(thm)],[170367312,155926168]),[]).
%
% cnf(179115520,plain,(k2(b,A)|~k1(B)|~k2(B,A)),inference(resolution,[status(thm)],[157408984,170371720]),[]).
%
% fof(rule_129,plain,(k2(A,A)|~q1(B,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(157445312,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/SYN159-1.tptp',unknown),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(155976880,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(157234648,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,155976880]),[]).
%
% cnf(172368400,plain,(k2(A,A)),inference(resolution,[status(thm)],[157445312,157234648]),[]).
%
% cnf(441279576,plain,(k2(b,A)|~k1(A)),inference(resolution,[status(thm)],[179115520,172368400]),[]).
%
% fof(axiom_34,plain,(n0(c,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(156049152,plain,(n0(c,d)),inference(rewrite,[status(thm)],[axiom_34]),[]).
%
% cnf(172904272,plain,(k1(d)),inference(resolution,[status(thm)],[156049152,156074376]),[]).
%
% cnf(441494400,plain,(k2(b,d)),inference(resolution,[status(thm)],[441279576,172904272]),[]).
%
% cnf(441874904,plain,(k2(A,d)|~m1(B,d,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[169981120,441494400,157408984]),[]).
%
% fof(rule_005,plain,(m1(A,B,A)|~m0(B,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(156139360,plain,(m1(A,B,A)|~m0(B,B,A)),inference(rewrite,[status(thm)],[rule_005]),[]).
%
% cnf(174207456,plain,(m1(A,d,A)),inference(resolution,[status(thm)],[155976880,156139360]),[]).
%
% cnf(446175424,plain,(k2(A,d)),inference(resolution,[status(thm)],[441874904,174207456]),[]).
%
% fof(rule_202,plain,(k3(A,A,B)|~q0(C,B)|~k2(A,D)|~k3(B,E,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(158474360,plain,(k3(A,A,B)|~q0(C,B)|~k2(A,D)|~k3(B,E,D)),inference(rewrite,[status(thm)],[rule_202]),[]).
%
% fof(rule_201,plain,(k3(A,A,B)|~p1(B,C,A)|~m2(D)|~m2(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(158452144,plain,(k3(A,A,B)|~p1(B,C,A)|~m2(D)|~m2(C)),inference(rewrite,[status(thm)],[rule_201]),[]).
%
% fof(rule_136,plain,(m2(b)|~k1(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(157544000,plain,(m2(b)|~k1(b)),inference(rewrite,[status(thm)],[rule_136]),[]).
%
% cnf(170051336,plain,(m2(b)),inference(resolution,[status(thm)],[157544000,169981120]),[]).
%
% cnf(170240504,plain,(k3(A,A,B)|~p1(B,C,A)|~m2(C)),inference(resolution,[status(thm)],[158452144,170051336]),[]).
%
% fof(rule_069,plain,(p1(A,A,B)|~p0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(156844784,plain,(p1(A,A,B)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_069]),[]).
%
% cnf(170349088,plain,(p1(A,A,b)),inference(resolution,[status(thm)],[156844784,155954112]),[]).
%
% cnf(203298552,plain,(k3(b,b,A)|~m2(A)),inference(resolution,[status(thm)],[170240504,170349088]),[]).
%
% fof(rule_135,plain,(m2(A)|~s0(A)|~l1(B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(157531920,plain,(m2(A)|~s0(A)|~l1(B,C)),inference(rewrite,[status(thm)],[rule_135]),[]).
%
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(155866064,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(168562296,plain,(m2(d)|~l1(A,B)),inference(resolution,[status(thm)],[157531920,155866064]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(156087832,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/SYN159-1.tptp',unknown),[]).
%
% cnf(155884536,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(169426120,plain,(l1(e,e)),inference(resolution,[status(thm)],[156087832,155884536]),[]).
%
% cnf(171302528,plain,(m2(d)),inference(resolution,[status(thm)],[168562296,169426120]),[]).
%
% cnf(203845392,plain,(k3(b,b,d)),inference(resolution,[status(thm)],[203298552,171302528]),[]).
%
% cnf(127549448,plain,(k3(A,A,b)|~q0(B,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[446175424,158474360,203845392]),[]).
%
% fof(axiom_6,plain,(q0(b,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(155863552,plain,(q0(b,b)),inference(rewrite,[status(thm)],[axiom_6]),[]).
%
% cnf(127619251,plain,(k3(A,A,b)),inference(resolution,[status(thm)],[127549448,155863552]),[]).
%
% fof(rule_295,plain,(q4(A,B)|~k3(C,C,A)|~q2(D,B,A)|~m3(D,E,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(159734672,plain,(q4(A,B)|~k3(C,C,A)|~q2(D,B,A)|~m3(D,E,D)),inference(rewrite,[status(thm)],[rule_295]),[]).
%
% fof(rule_186,plain,(q2(A,A,B)|~l1(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(158231616,plain,(q2(A,A,B)|~l1(B,A)),inference(rewrite,[status(thm)],[rule_186]),[]).
%
% cnf(169989672,plain,(l1(b,b)),inference(resolution,[status(thm)],[156087832,155913800]),[]).
%
% cnf(171404760,plain,(q2(b,b,b)),inference(resolution,[status(thm)],[158231616,169989672]),[]).
%
% cnf(172723707,plain,(q4(b,b)|~m3(b,B,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[127619251,159734672,171404760]),[]).
%
% fof(rule_238,plain,(m3(A,A,A)|~p2(A,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(158950000,plain,(m3(A,A,A)|~p2(A,A,A)),inference(rewrite,[status(thm)],[rule_238]),[]).
%
% fof(rule_159,plain,(p2(A,A,A)|~k1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(157866168,plain,(p2(A,A,A)|~k1(A)),inference(rewrite,[status(thm)],[rule_159]),[]).
%
% cnf(170065064,plain,(p2(b,b,b)),inference(resolution,[status(thm)],[157866168,169981120]),[]).
%
% cnf(172741600,plain,(m3(b,b,b)),inference(resolution,[status(thm)],[158950000,170065064]),[]).
%
% cnf(172731600,plain,(q4(b,b)),inference(resolution,[status(thm)],[172723707,172741600]),[]).
%
% fof(axiom_18,plain,(p0(c,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(155862152,plain,(p0(c,b)),inference(rewrite,[status(thm)],[axiom_18]),[]).
%
% fof(rule_003,plain,(l1(A,B)|~p0(C,A)|~r0(D)|~m0(B,A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(156111056,plain,(l1(A,B)|~p0(C,A)|~r0(D)|~m0(B,A,C)),inference(rewrite,[status(thm)],[rule_003]),[]).
%
% cnf(168785688,plain,(l1(A,B)|~p0(C,A)|~m0(B,A,C)),inference(resolution,[status(thm)],[156111056,155926168]),[]).
%
% fof(axiom_27,plain,(m0(e,b,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(156015152,plain,(m0(e,b,c)),inference(rewrite,[status(thm)],[axiom_27]),[]).
%
% cnf(197014704,plain,(l1(b,e)),inference(forward_subsumption_resolution__resolution,[status(thm)],[155862152,168785688,156015152]),[]).
%
% cnf(197819088,plain,(q2(e,e,b)),inference(resolution,[status(thm)],[197014704,158231616]),[]).
%
% fof(rule_274,plain,(k4(c)|~n0(c,d)|~q3(e,b)|~n3(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(159462080,plain,(k4(c)|~q3(e,b)|~n3(e)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_274,156049152]),[]).
%
% fof(rule_240,plain,(n3(A)|~p2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(158973632,plain,(n3(A)|~p2(B,C,A)),inference(rewrite,[status(thm)],[rule_240]),[]).
%
% cnf(169415512,plain,(k1(e)),inference(resolution,[status(thm)],[156074376,155884536]),[]).
%
% cnf(169540760,plain,(p2(e,e,e)),inference(resolution,[status(thm)],[157866168,169415512]),[]).
%
% cnf(172599928,plain,(n3(e)),inference(resolution,[status(thm)],[158973632,169540760]),[]).
%
% cnf(172648072,plain,(k4(c)|~q3(e,b)),inference(resolution,[status(thm)],[159462080,172599928]),[]).
%
% fof(prove_this,plain,(~n5(a,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(160250312,plain,(~n5(a,e)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_284,plain,(n4(A,A)|~k4(B)|~m3(A,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(159586320,plain,(n4(A,A)|~k4(B)|~m3(A,A,A)),inference(rewrite,[status(thm)],[rule_284]),[]).
%
% fof(rule_236,plain,(m3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(158926000,plain,(m3(A,A,A)|~n2(A)),inference(rewrite,[status(thm)],[rule_236]),[]).
%
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(157557064,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/SYN159-1.tptp',unknown),[]).
%
% cnf(157015760,plain,(p1(A,A,A)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_085]),[]).
%
% cnf(170358648,plain,(p1(A,A,A)),inference(resolution,[status(thm)],[157015760,155954112]),[]).
%
% cnf(174378400,plain,(n2(A)),inference(resolution,[status(thm)],[157557064,170358648]),[]).
%
% cnf(174394064,plain,(m3(A,A,A)),inference(resolution,[status(thm)],[158926000,174378400]),[]).
%
% cnf(179037944,plain,(n4(A,A)|~k4(B)),inference(resolution,[status(thm)],[159586320,174394064]),[]).
%
% fof(rule_309,plain,(n5(A,A)|~n4(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(159945480,plain,(n5(A,A)|~n4(B,A)),inference(rewrite,[status(thm)],[rule_309]),[]).
%
% cnf(179496896,plain,(~k4(B)|n5(A,A)),inference(resolution,[status(thm)],[179037944,159945480]),[]).
%
% fof(rule_194,plain,(k3(A,A,B)|~k2(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(158350752,plain,(k3(A,A,B)|~k2(B,A)),inference(rewrite,[status(thm)],[rule_194]),[]).
%
% cnf(172392656,plain,(k3(A,A,A)),inference(resolution,[status(thm)],[158350752,172368400]),[]).
%
% fof(rule_307,plain,(n5(A,B)|~q4(C,D)|~n4(A,D)|~p4(E,E,B)|~n5(E,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(159924792,plain,(n5(A,B)|~q4(C,D)|~n4(A,D)|~p4(E,E,B)|~n5(E,B)),inference(rewrite,[status(thm)],[rule_307]),[]).
%
% fof(rule_287,plain,(p4(A,B,A)|~k3(A,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(159622128,plain,(p4(A,B,A)|~k3(A,A,B)),inference(rewrite,[status(thm)],[rule_287]),[]).
%
% cnf(175081128,plain,(n5(A,B)|~q4(C,D)|~n4(A,D)|~n5(B,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[172392656,159924792,159622128]),[]).
%
% cnf(184642560,plain,(n5(A,B)|~q4(C,A)|~k4(D)),inference(forward_subsumption_resolution__resolution,[status(thm)],[179496896,175081128,179037944]),[]).
%
% cnf(184743792,plain,(~q4(A,a)|~k4(B)),inference(resolution,[status(thm)],[160250312,184642560]),[]).
%
% cnf(184777560,plain,(~q3(e,b)|~q4(A,a)),inference(resolution,[status(thm)],[172648072,184743792]),[]).
%
% fof(rule_255,plain,(q3(A,B)|~q2(C,A,B)|~n0(C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(159172328,plain,(q3(A,B)|~q2(C,A,B)|~n0(C,A)),inference(rewrite,[status(thm)],[rule_255]),[]).
%
% fof(axiom_30,plain,(n0(e,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(156034288,plain,(n0(e,e)),inference(rewrite,[status(thm)],[axiom_30]),[]).
%
% cnf(191209008,plain,(q3(e,A)|~q2(e,e,A)),inference(resolution,[status(thm)],[159172328,156034288]),[]).
%
% cnf(205346600,plain,(~q4(A,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[197819088,184777560,191209008]),[]).
%
% fof(rule_097,plain,(q1(A,A,A)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(157138256,plain,(q1(A,A,A)|~s0(A)),inference(rewrite,[status(thm)],[rule_097]),[]).
%
% cnf(158285736,plain,(q1(d,d,d)),inference(resolution,[status(thm)],[157138256,155866064]),[]).
%
% fof(rule_124,plain,(r1(A)|~q0(A,B)|~s0(d)|~q1(d,B,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(157369168,plain,(r1(A)|~q0(A,B)|~q1(d,B,d)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,155866064]),[]).
%
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(155969400,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(177448416,plain,(r1(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[158285736,157369168,155969400]),[]).
%
% fof(rule_296,plain,(q4(A,A)|~r1(A)|~l4(B)|~q4(B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(159753664,plain,(q4(A,A)|~r1(A)|~l4(B)|~q4(B,C)),inference(rewrite,[status(thm)],[rule_296]),[]).
%
% fof(rule_244,plain,(p3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(159037160,plain,(p3(A,A,A)|~n2(A)),inference(rewrite,[status(thm)],[rule_244]),[]).
%
% fof(rule_277,plain,(l4(A)|~p3(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN159-1.tptp',unknown),[]).
%
% cnf(159502448,plain,(l4(A)|~p3(B,C,A)),inference(rewrite,[status(thm)],[rule_277]),[]).
%
% cnf(173243000,plain,(~n2(A)|l4(A)),inference(resolution,[status(thm)],[159037160,159502448]),[]).
%
% cnf(173338936,plain,(~p1(B,C,A)|l4(A)),inference(resolution,[status(thm)],[157557064,173243000]),[]).
%
% cnf(174382752,plain,(l4(A)),inference(resolution,[status(thm)],[173338936,170358648]),[]).
%
% cnf(224894512,plain,(q4(A,A)|~q4(B,C)),inference(forward_subsumption_resolution__resolution,[status(thm)],[177448416,159753664,174382752]),[]).
%
% cnf(233197976,plain,(~q4(A,B)),inference(resolution,[status(thm)],[205346600,224894512]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[172731600,233197976]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------