TSTP Solution File: SYN163-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN163-1 : 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 17:02:23 EDT 2009
% Result : Unsatisfiable 311.2s
% Output : Refutation 311.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 37
% Syntax : Number of formulae : 109 ( 45 unt; 0 def)
% Number of atoms : 207 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 202 ( 104 ~; 98 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 155 ( 40 sgn 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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/SYN163-1.tptp',unknown),
[] ).
cnf(167922576,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/SYN163-1.tptp',unknown),
[] ).
cnf(166419520,plain,
( q2(A,A,B)
| ~ l1(B,A) ),
inference(rewrite,[status(thm)],[rule_186]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),
[] ).
cnf(164275736,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/SYN163-1.tptp',unknown),
[] ).
cnf(164072440,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(177655480,plain,
l1(e,e),
inference(resolution,[status(thm)],[164275736,164072440]),
[] ).
cnf(178820056,plain,
q2(e,e,e),
inference(resolution,[status(thm)],[166419520,177655480]),
[] ).
cnf(180225744,plain,
( q4(e,e)
| ~ k3(A,A,e)
| ~ m3(e,B,e) ),
inference(resolution,[status(thm)],[167922576,178820056]),
[] ).
fof(rule_194,plain,
! [A,B] :
( k3(A,A,B)
| ~ k2(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),
[] ).
cnf(166538656,plain,
( k3(A,A,B)
| ~ k2(B,A) ),
inference(rewrite,[status(thm)],[rule_194]),
[] ).
fof(rule_130,plain,
( k2(e,e)
| ~ l1(e,e) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),
[] ).
cnf(165645296,plain,
( k2(e,e)
| ~ l1(e,e) ),
inference(rewrite,[status(thm)],[rule_130]),
[] ).
cnf(178807256,plain,
k2(e,e),
inference(resolution,[status(thm)],[165645296,177655480]),
[] ).
cnf(178932032,plain,
k3(e,e,e),
inference(resolution,[status(thm)],[166538656,178807256]),
[] ).
cnf(180250872,plain,
( q4(e,e)
| ~ m3(e,A,e) ),
inference(resolution,[status(thm)],[180225744,178932032]),
[] ).
fof(rule_238,plain,
! [A] :
( m3(A,A,A)
| ~ p2(A,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),
[] ).
cnf(167137904,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/SYN163-1.tptp',unknown),
[] ).
cnf(166054072,plain,
( p2(A,A,A)
| ~ k1(A) ),
inference(rewrite,[status(thm)],[rule_159]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),
[] ).
cnf(164262280,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
cnf(177644824,plain,
k1(e),
inference(resolution,[status(thm)],[164262280,164072440]),
[] ).
cnf(177759992,plain,
p2(e,e,e),
inference(resolution,[status(thm)],[166054072,177644824]),
[] ).
cnf(180028696,plain,
m3(e,e,e),
inference(resolution,[status(thm)],[167137904,177759992]),
[] ).
cnf(175549891,plain,
q4(e,e),
inference(resolution,[status(thm)],[180250872,180028696]),
[] ).
fof(axiom_18,plain,
p0(c,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),
[] ).
cnf(164050056,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/SYN163-1.tptp',unknown),
[] ).
cnf(164298960,plain,
( l1(A,B)
| ~ p0(C,A)
| ~ r0(D)
| ~ m0(B,A,C) ),
inference(rewrite,[status(thm)],[rule_003]),
[] ).
fof(axiom_9,plain,
r0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),
[] ).
cnf(164114072,plain,
r0(b),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
cnf(177025008,plain,
( l1(A,B)
| ~ p0(C,A)
| ~ m0(B,A,C) ),
inference(resolution,[status(thm)],[164298960,164114072]),
[] ).
fof(axiom_27,plain,
m0(e,b,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),
[] ).
cnf(164203056,plain,
m0(e,b,c),
inference(rewrite,[status(thm)],[axiom_27]),
[] ).
cnf(203269720,plain,
l1(b,e),
inference(forward_subsumption_resolution__resolution,[status(thm)],[164050056,177025008,164203056]),
[] ).
cnf(203987520,plain,
q2(e,e,b),
inference(resolution,[status(thm)],[203269720,166419520]),
[] ).
fof(rule_274,plain,
( k4(c)
| ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),
[] ).
fof(axiom_34,plain,
n0(c,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),
[] ).
cnf(164237056,plain,
n0(c,d),
inference(rewrite,[status(thm)],[axiom_34]),
[] ).
cnf(167649984,plain,
( k4(c)
| ~ q3(e,b)
| ~ n3(e) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_274,164237056]),
[] ).
fof(rule_240,plain,
! [A,B,C] :
( n3(A)
| ~ p2(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),
[] ).
cnf(167161536,plain,
( n3(A)
| ~ p2(B,C,A) ),
inference(rewrite,[status(thm)],[rule_240]),
[] ).
cnf(180013576,plain,
n3(e),
inference(resolution,[status(thm)],[167161536,177759992]),
[] ).
cnf(180103680,plain,
( k4(c)
| ~ q3(e,b) ),
inference(resolution,[status(thm)],[167649984,180013576]),
[] ).
fof(prove_this,plain,
~ n5(e,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),
[] ).
cnf(168438216,plain,
~ n5(e,a),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_236,plain,
! [A] :
( m3(A,A,A)
| ~ n2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),
[] ).
cnf(167113904,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/SYN163-1.tptp',unknown),
[] ).
cnf(165744968,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/SYN163-1.tptp',unknown),
[] ).
cnf(165203664,plain,
( p1(A,A,A)
| ~ p0(B,A) ),
inference(rewrite,[status(thm)],[rule_085]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),
[] ).
cnf(164142016,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(178179976,plain,
p1(A,A,A),
inference(resolution,[status(thm)],[165203664,164142016]),
[] ).
cnf(181776248,plain,
n2(A),
inference(resolution,[status(thm)],[165744968,178179976]),
[] ).
cnf(181790296,plain,
m3(A,A,A),
inference(resolution,[status(thm)],[167113904,181776248]),
[] ).
fof(rule_284,plain,
! [A,B] :
( n4(A,A)
| ~ k4(B)
| ~ m3(A,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),
[] ).
cnf(167774224,plain,
( n4(A,A)
| ~ k4(B)
| ~ m3(A,A,A) ),
inference(rewrite,[status(thm)],[rule_284]),
[] ).
fof(rule_309,plain,
! [A,B] :
( n5(A,A)
| ~ n4(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),
[] ).
cnf(168133384,plain,
( n5(A,A)
| ~ n4(B,A) ),
inference(rewrite,[status(thm)],[rule_309]),
[] ).
cnf(186679976,plain,
( ~ k4(B)
| n5(A,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[181790296,167774224,168133384]),
[] ).
fof(rule_129,plain,
! [A,B] :
( k2(A,A)
| ~ q1(B,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),
[] ).
cnf(165633216,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/SYN163-1.tptp',unknown),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),
[] ).
cnf(164164784,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(165422552,plain,
q1(e,A,A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,164164784]),
[] ).
cnf(179848592,plain,
k2(A,A),
inference(resolution,[status(thm)],[165633216,165422552]),
[] ).
cnf(182010352,plain,
k3(A,A,A),
inference(resolution,[status(thm)],[179848592,166538656]),
[] ).
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/SYN163-1.tptp',unknown),
[] ).
cnf(168112696,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/SYN163-1.tptp',unknown),
[] ).
cnf(167810032,plain,
( p4(A,B,A)
| ~ k3(A,A,B) ),
inference(rewrite,[status(thm)],[rule_287]),
[] ).
cnf(182866440,plain,
( n5(A,B)
| ~ q4(C,D)
| ~ n4(A,D)
| ~ n5(B,B) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[182010352,168112696,167810032]),
[] ).
cnf(190172504,plain,
( n5(A,B)
| ~ q4(C,A)
| ~ k4(D) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[186679976,181790296,182866440,167774224]),
[] ).
cnf(190476120,plain,
( ~ q4(A,e)
| ~ k4(B) ),
inference(resolution,[status(thm)],[168438216,190172504]),
[] ).
cnf(190499208,plain,
( ~ q3(e,b)
| ~ q4(A,e) ),
inference(resolution,[status(thm)],[180103680,190476120]),
[] ).
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/SYN163-1.tptp',unknown),
[] ).
cnf(167360232,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/SYN163-1.tptp',unknown),
[] ).
cnf(164222192,plain,
n0(e,e),
inference(rewrite,[status(thm)],[axiom_30]),
[] ).
cnf(178721480,plain,
( q3(e,A)
| ~ q2(e,e,A) ),
inference(resolution,[status(thm)],[167360232,164222192]),
[] ).
cnf(208282992,plain,
~ q4(A,e),
inference(forward_subsumption_resolution__resolution,[status(thm)],[203987520,190499208,178721480]),
[] ).
fof(rule_097,plain,
! [A] :
( q1(A,A,A)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),
[] ).
cnf(165326160,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/SYN163-1.tptp',unknown),
[] ).
cnf(164053968,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(166473640,plain,
q1(d,d,d),
inference(resolution,[status(thm)],[165326160,164053968]),
[] ).
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/SYN163-1.tptp',unknown),
[] ).
cnf(165557072,plain,
( r1(A)
| ~ q0(A,B)
| ~ q1(d,B,d) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,164053968]),
[] ).
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),
[] ).
cnf(164157304,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(182507592,plain,
r1(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166473640,165557072,164157304]),
[] ).
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/SYN163-1.tptp',unknown),
[] ).
cnf(167941568,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/SYN163-1.tptp',unknown),
[] ).
cnf(167225064,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/SYN163-1.tptp',unknown),
[] ).
cnf(167690352,plain,
( l4(A)
| ~ p3(B,C,A) ),
inference(rewrite,[status(thm)],[rule_277]),
[] ).
cnf(181247552,plain,
( ~ n2(A)
| l4(A) ),
inference(resolution,[status(thm)],[167225064,167690352]),
[] ).
cnf(181318696,plain,
( ~ p1(B,C,A)
| l4(A) ),
inference(resolution,[status(thm)],[165744968,181247552]),
[] ).
cnf(181780592,plain,
l4(A),
inference(resolution,[status(thm)],[181318696,178179976]),
[] ).
cnf(218607752,plain,
( q4(A,A)
| ~ q4(B,C) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[182507592,167941568,181780592]),
[] ).
cnf(221805944,plain,
~ q4(A,B),
inference(resolution,[status(thm)],[208282992,218607752]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[175549891,221805944]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 391 seconds
% START OF PROOF SEQUENCE
% 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/SYN163-1.tptp',unknown),[]).
%
% cnf(167922576,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/SYN163-1.tptp',unknown),[]).
%
% cnf(166419520,plain,(q2(A,A,B)|~l1(B,A)),inference(rewrite,[status(thm)],[rule_186]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(164275736,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/SYN163-1.tptp',unknown),[]).
%
% cnf(164072440,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(177655480,plain,(l1(e,e)),inference(resolution,[status(thm)],[164275736,164072440]),[]).
%
% cnf(178820056,plain,(q2(e,e,e)),inference(resolution,[status(thm)],[166419520,177655480]),[]).
%
% cnf(180225744,plain,(q4(e,e)|~k3(A,A,e)|~m3(e,B,e)),inference(resolution,[status(thm)],[167922576,178820056]),[]).
%
% fof(rule_194,plain,(k3(A,A,B)|~k2(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(166538656,plain,(k3(A,A,B)|~k2(B,A)),inference(rewrite,[status(thm)],[rule_194]),[]).
%
% fof(rule_130,plain,(k2(e,e)|~l1(e,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(165645296,plain,(k2(e,e)|~l1(e,e)),inference(rewrite,[status(thm)],[rule_130]),[]).
%
% cnf(178807256,plain,(k2(e,e)),inference(resolution,[status(thm)],[165645296,177655480]),[]).
%
% cnf(178932032,plain,(k3(e,e,e)),inference(resolution,[status(thm)],[166538656,178807256]),[]).
%
% cnf(180250872,plain,(q4(e,e)|~m3(e,A,e)),inference(resolution,[status(thm)],[180225744,178932032]),[]).
%
% fof(rule_238,plain,(m3(A,A,A)|~p2(A,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(167137904,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/SYN163-1.tptp',unknown),[]).
%
% cnf(166054072,plain,(p2(A,A,A)|~k1(A)),inference(rewrite,[status(thm)],[rule_159]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(164262280,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% cnf(177644824,plain,(k1(e)),inference(resolution,[status(thm)],[164262280,164072440]),[]).
%
% cnf(177759992,plain,(p2(e,e,e)),inference(resolution,[status(thm)],[166054072,177644824]),[]).
%
% cnf(180028696,plain,(m3(e,e,e)),inference(resolution,[status(thm)],[167137904,177759992]),[]).
%
% cnf(175549891,plain,(q4(e,e)),inference(resolution,[status(thm)],[180250872,180028696]),[]).
%
% fof(axiom_18,plain,(p0(c,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(164050056,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/SYN163-1.tptp',unknown),[]).
%
% cnf(164298960,plain,(l1(A,B)|~p0(C,A)|~r0(D)|~m0(B,A,C)),inference(rewrite,[status(thm)],[rule_003]),[]).
%
% fof(axiom_9,plain,(r0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(164114072,plain,(r0(b)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% cnf(177025008,plain,(l1(A,B)|~p0(C,A)|~m0(B,A,C)),inference(resolution,[status(thm)],[164298960,164114072]),[]).
%
% fof(axiom_27,plain,(m0(e,b,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(164203056,plain,(m0(e,b,c)),inference(rewrite,[status(thm)],[axiom_27]),[]).
%
% cnf(203269720,plain,(l1(b,e)),inference(forward_subsumption_resolution__resolution,[status(thm)],[164050056,177025008,164203056]),[]).
%
% cnf(203987520,plain,(q2(e,e,b)),inference(resolution,[status(thm)],[203269720,166419520]),[]).
%
% fof(rule_274,plain,(k4(c)|~n0(c,d)|~q3(e,b)|~n3(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% fof(axiom_34,plain,(n0(c,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(164237056,plain,(n0(c,d)),inference(rewrite,[status(thm)],[axiom_34]),[]).
%
% cnf(167649984,plain,(k4(c)|~q3(e,b)|~n3(e)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_274,164237056]),[]).
%
% fof(rule_240,plain,(n3(A)|~p2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(167161536,plain,(n3(A)|~p2(B,C,A)),inference(rewrite,[status(thm)],[rule_240]),[]).
%
% cnf(180013576,plain,(n3(e)),inference(resolution,[status(thm)],[167161536,177759992]),[]).
%
% cnf(180103680,plain,(k4(c)|~q3(e,b)),inference(resolution,[status(thm)],[167649984,180013576]),[]).
%
% fof(prove_this,plain,(~n5(e,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(168438216,plain,(~n5(e,a)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_236,plain,(m3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(167113904,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/SYN163-1.tptp',unknown),[]).
%
% cnf(165744968,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/SYN163-1.tptp',unknown),[]).
%
% cnf(165203664,plain,(p1(A,A,A)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_085]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(164142016,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(178179976,plain,(p1(A,A,A)),inference(resolution,[status(thm)],[165203664,164142016]),[]).
%
% cnf(181776248,plain,(n2(A)),inference(resolution,[status(thm)],[165744968,178179976]),[]).
%
% cnf(181790296,plain,(m3(A,A,A)),inference(resolution,[status(thm)],[167113904,181776248]),[]).
%
% fof(rule_284,plain,(n4(A,A)|~k4(B)|~m3(A,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(167774224,plain,(n4(A,A)|~k4(B)|~m3(A,A,A)),inference(rewrite,[status(thm)],[rule_284]),[]).
%
% fof(rule_309,plain,(n5(A,A)|~n4(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(168133384,plain,(n5(A,A)|~n4(B,A)),inference(rewrite,[status(thm)],[rule_309]),[]).
%
% cnf(186679976,plain,(~k4(B)|n5(A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[181790296,167774224,168133384]),[]).
%
% fof(rule_129,plain,(k2(A,A)|~q1(B,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(165633216,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/SYN163-1.tptp',unknown),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(164164784,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(165422552,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,164164784]),[]).
%
% cnf(179848592,plain,(k2(A,A)),inference(resolution,[status(thm)],[165633216,165422552]),[]).
%
% cnf(182010352,plain,(k3(A,A,A)),inference(resolution,[status(thm)],[179848592,166538656]),[]).
%
% 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/SYN163-1.tptp',unknown),[]).
%
% cnf(168112696,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/SYN163-1.tptp',unknown),[]).
%
% cnf(167810032,plain,(p4(A,B,A)|~k3(A,A,B)),inference(rewrite,[status(thm)],[rule_287]),[]).
%
% cnf(182866440,plain,(n5(A,B)|~q4(C,D)|~n4(A,D)|~n5(B,B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[182010352,168112696,167810032]),[]).
%
% cnf(190172504,plain,(n5(A,B)|~q4(C,A)|~k4(D)),inference(forward_subsumption_resolution__resolution,[status(thm)],[186679976,181790296,182866440,167774224]),[]).
%
% cnf(190476120,plain,(~q4(A,e)|~k4(B)),inference(resolution,[status(thm)],[168438216,190172504]),[]).
%
% cnf(190499208,plain,(~q3(e,b)|~q4(A,e)),inference(resolution,[status(thm)],[180103680,190476120]),[]).
%
% fof(rule_255,plain,(q3(A,B)|~q2(C,A,B)|~n0(C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(167360232,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/SYN163-1.tptp',unknown),[]).
%
% cnf(164222192,plain,(n0(e,e)),inference(rewrite,[status(thm)],[axiom_30]),[]).
%
% cnf(178721480,plain,(q3(e,A)|~q2(e,e,A)),inference(resolution,[status(thm)],[167360232,164222192]),[]).
%
% cnf(208282992,plain,(~q4(A,e)),inference(forward_subsumption_resolution__resolution,[status(thm)],[203987520,190499208,178721480]),[]).
%
% fof(rule_097,plain,(q1(A,A,A)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(165326160,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/SYN163-1.tptp',unknown),[]).
%
% cnf(164053968,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(166473640,plain,(q1(d,d,d)),inference(resolution,[status(thm)],[165326160,164053968]),[]).
%
% fof(rule_124,plain,(r1(A)|~q0(A,B)|~s0(d)|~q1(d,B,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(165557072,plain,(r1(A)|~q0(A,B)|~q1(d,B,d)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,164053968]),[]).
%
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(164157304,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(182507592,plain,(r1(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166473640,165557072,164157304]),[]).
%
% fof(rule_296,plain,(q4(A,A)|~r1(A)|~l4(B)|~q4(B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN163-1.tptp',unknown),[]).
%
% cnf(167941568,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/SYN163-1.tptp',unknown),[]).
%
% cnf(167225064,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/SYN163-1.tptp',unknown),[]).
%
% cnf(167690352,plain,(l4(A)|~p3(B,C,A)),inference(rewrite,[status(thm)],[rule_277]),[]).
%
% cnf(181247552,plain,(~n2(A)|l4(A)),inference(resolution,[status(thm)],[167225064,167690352]),[]).
%
% cnf(181318696,plain,(~p1(B,C,A)|l4(A)),inference(resolution,[status(thm)],[165744968,181247552]),[]).
%
% cnf(181780592,plain,(l4(A)),inference(resolution,[status(thm)],[181318696,178179976]),[]).
%
% cnf(218607752,plain,(q4(A,A)|~q4(B,C)),inference(forward_subsumption_resolution__resolution,[status(thm)],[182507592,167941568,181780592]),[]).
%
% cnf(221805944,plain,(~q4(A,B)),inference(resolution,[status(thm)],[208282992,218607752]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[175549891,221805944]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------