TSTP Solution File: SYN156-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN156-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 17:01:08 EDT 2009
% Result : Unsatisfiable 9.6s
% Output : Refutation 9.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 27
% Syntax : Number of formulae : 78 ( 33 unt; 0 def)
% Number of atoms : 143 ( 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 : 80 ( 12 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_155,plain,
! [A,B,C] :
( p2(A,B,B)
| ~ k1(C)
| ~ p2(e,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),
[] ).
cnf(175441704,plain,
( p2(A,B,B)
| ~ k1(C)
| ~ p2(e,A,B) ),
inference(rewrite,[status(thm)],[rule_155]),
[] ).
fof(rule_021,plain,
! [A,B] :
( m1(A,B,A)
| ~ l0(A)
| ~ k0(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),
[] ).
cnf(173944360,plain,
( m1(A,B,A)
| ~ l0(A)
| ~ k0(B) ),
inference(rewrite,[status(thm)],[rule_021]),
[] ).
fof(axiom_20,plain,
l0(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),
[] ).
cnf(173618616,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
cnf(186737872,plain,
( m1(a,A,a)
| ~ k0(A) ),
inference(resolution,[status(thm)],[173944360,173618616]),
[] ).
fof(axiom_28,plain,
k0(e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),
[] ).
cnf(173657048,plain,
k0(e),
inference(rewrite,[status(thm)],[axiom_28]),
[] ).
cnf(186925200,plain,
m1(a,e,a),
inference(resolution,[status(thm)],[186737872,173657048]),
[] ).
fof(rule_176,plain,
! [A,B] :
( p2(A,B,A)
| ~ m1(B,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),
[] ).
cnf(175724424,plain,
( p2(A,B,A)
| ~ m1(B,A,B) ),
inference(rewrite,[status(thm)],[rule_176]),
[] ).
cnf(193449400,plain,
p2(e,a,e),
inference(resolution,[status(thm)],[186925200,175724424]),
[] ).
cnf(201716848,plain,
( p2(a,e,e)
| ~ k1(A) ),
inference(resolution,[status(thm)],[175441704,193449400]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),
[] ).
cnf(173711752,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
fof(axiom_3,plain,
n0(d,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),
[] ).
cnf(173521912,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(187094024,plain,
k1(e),
inference(resolution,[status(thm)],[173711752,173521912]),
[] ).
cnf(202002504,plain,
p2(a,e,e),
inference(resolution,[status(thm)],[201716848,187094024]),
[] ).
fof(rule_251,plain,
! [A,B,C,D] :
( p3(A,B,B)
| ~ m3(B,C,D)
| ~ p2(A,B,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),
[] ).
cnf(176757680,plain,
( p3(A,B,B)
| ~ m3(B,C,D)
| ~ p2(A,B,D) ),
inference(rewrite,[status(thm)],[rule_251]),
[] ).
fof(rule_238,plain,
! [A] :
( m3(A,A,A)
| ~ p2(A,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),
[] ).
cnf(176587376,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/SYN156-1.tptp',unknown),
[] ).
cnf(175503544,plain,
( p2(A,A,A)
| ~ k1(A) ),
inference(rewrite,[status(thm)],[rule_159]),
[] ).
cnf(187209192,plain,
p2(e,e,e),
inference(resolution,[status(thm)],[175503544,187094024]),
[] ).
cnf(189582464,plain,
m3(e,e,e),
inference(resolution,[status(thm)],[176587376,187209192]),
[] ).
cnf(343935632,plain,
( p3(A,e,e)
| ~ p2(A,e,e) ),
inference(resolution,[status(thm)],[176757680,189582464]),
[] ).
fof(axiom_18,plain,
p0(c,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),
[] ).
cnf(173499528,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/SYN156-1.tptp',unknown),
[] ).
cnf(173748432,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/SYN156-1.tptp',unknown),
[] ).
cnf(173563544,plain,
r0(b),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
cnf(186475008,plain,
( l1(A,B)
| ~ p0(C,A)
| ~ m0(B,A,C) ),
inference(resolution,[status(thm)],[173748432,173563544]),
[] ).
fof(axiom_27,plain,
m0(e,b,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),
[] ).
cnf(173652528,plain,
m0(e,b,c),
inference(rewrite,[status(thm)],[axiom_27]),
[] ).
cnf(213724400,plain,
l1(b,e),
inference(forward_subsumption_resolution__resolution,[status(thm)],[173499528,186475008,173652528]),
[] ).
fof(rule_281,plain,
! [A,B] :
( n4(A,B)
| ~ p3(A,B,B)
| ~ n4(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),
[] ).
cnf(177182592,plain,
( n4(A,B)
| ~ p3(A,B,B)
| ~ n4(A,A) ),
inference(rewrite,[status(thm)],[rule_281]),
[] ).
fof(prove_this,plain,
~ n4(a,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),
[] ).
cnf(177887688,plain,
~ n4(a,e),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(189497560,plain,
( ~ p3(a,e,e)
| ~ n4(a,a) ),
inference(resolution,[status(thm)],[177182592,177887688]),
[] ).
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/SYN156-1.tptp',unknown),
[] ).
cnf(176809704,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/SYN156-1.tptp',unknown),
[] ).
cnf(173671664,plain,
n0(e,e),
inference(rewrite,[status(thm)],[axiom_30]),
[] ).
cnf(188170736,plain,
( q3(e,A)
| ~ q2(e,e,A) ),
inference(resolution,[status(thm)],[176809704,173671664]),
[] ).
fof(rule_274,plain,
( k4(c)
| ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),
[] ).
fof(axiom_34,plain,
n0(c,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),
[] ).
cnf(173686528,plain,
n0(c,d),
inference(rewrite,[status(thm)],[axiom_34]),
[] ).
cnf(177099456,plain,
( k4(c)
| ~ q3(e,b)
| ~ n3(e) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_274,173686528]),
[] ).
fof(rule_240,plain,
! [A,B,C] :
( n3(A)
| ~ p2(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),
[] ).
cnf(176611008,plain,
( n3(A)
| ~ p2(B,C,A) ),
inference(rewrite,[status(thm)],[rule_240]),
[] ).
cnf(189571432,plain,
n3(e),
inference(resolution,[status(thm)],[176611008,187209192]),
[] ).
cnf(189651792,plain,
( k4(c)
| ~ q3(e,b) ),
inference(resolution,[status(thm)],[177099456,189571432]),
[] ).
cnf(208942496,plain,
( ~ q2(e,e,b)
| k4(c) ),
inference(resolution,[status(thm)],[188170736,189651792]),
[] ).
fof(rule_186,plain,
! [A,B] :
( q2(A,A,B)
| ~ l1(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),
[] ).
cnf(175868992,plain,
( q2(A,A,B)
| ~ l1(B,A) ),
inference(rewrite,[status(thm)],[rule_186]),
[] ).
cnf(209036616,plain,
( k4(c)
| ~ l1(b,e) ),
inference(resolution,[status(thm)],[208942496,175868992]),
[] ).
fof(rule_284,plain,
! [A,B] :
( n4(A,A)
| ~ k4(B)
| ~ m3(A,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),
[] ).
cnf(177223696,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/SYN156-1.tptp',unknown),
[] ).
cnf(176563376,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/SYN156-1.tptp',unknown),
[] ).
cnf(175194440,plain,
( n2(A)
| ~ p1(B,C,A) ),
inference(rewrite,[status(thm)],[rule_137]),
[] ).
fof(rule_075,plain,
( p1(a,a,a)
| ~ p0(b,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),
[] ).
cnf(173591488,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(174524136,plain,
p1(a,a,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,173591488]),
[] ).
cnf(189211232,plain,
n2(a),
inference(resolution,[status(thm)],[175194440,174524136]),
[] ).
cnf(189360944,plain,
m3(a,a,a),
inference(resolution,[status(thm)],[176563376,189211232]),
[] ).
cnf(190246192,plain,
( n4(a,a)
| ~ k4(A) ),
inference(resolution,[status(thm)],[177223696,189360944]),
[] ).
cnf(209078408,plain,
( ~ l1(b,e)
| n4(a,a) ),
inference(resolution,[status(thm)],[209036616,190246192]),
[] ).
cnf(210766128,plain,
( ~ p3(a,e,e)
| ~ l1(b,e) ),
inference(resolution,[status(thm)],[189497560,209078408]),
[] ).
cnf(214378088,plain,
~ p3(a,e,e),
inference(resolution,[status(thm)],[213724400,210766128]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[202002504,343935632,214378088]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 8 seconds
% START OF PROOF SEQUENCE
% fof(rule_155,plain,(p2(A,B,B)|~k1(C)|~p2(e,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% cnf(175441704,plain,(p2(A,B,B)|~k1(C)|~p2(e,A,B)),inference(rewrite,[status(thm)],[rule_155]),[]).
%
% fof(rule_021,plain,(m1(A,B,A)|~l0(A)|~k0(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% cnf(173944360,plain,(m1(A,B,A)|~l0(A)|~k0(B)),inference(rewrite,[status(thm)],[rule_021]),[]).
%
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% cnf(173618616,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% cnf(186737872,plain,(m1(a,A,a)|~k0(A)),inference(resolution,[status(thm)],[173944360,173618616]),[]).
%
% fof(axiom_28,plain,(k0(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% cnf(173657048,plain,(k0(e)),inference(rewrite,[status(thm)],[axiom_28]),[]).
%
% cnf(186925200,plain,(m1(a,e,a)),inference(resolution,[status(thm)],[186737872,173657048]),[]).
%
% fof(rule_176,plain,(p2(A,B,A)|~m1(B,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% cnf(175724424,plain,(p2(A,B,A)|~m1(B,A,B)),inference(rewrite,[status(thm)],[rule_176]),[]).
%
% cnf(193449400,plain,(p2(e,a,e)),inference(resolution,[status(thm)],[186925200,175724424]),[]).
%
% cnf(201716848,plain,(p2(a,e,e)|~k1(A)),inference(resolution,[status(thm)],[175441704,193449400]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% cnf(173711752,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% cnf(173521912,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(187094024,plain,(k1(e)),inference(resolution,[status(thm)],[173711752,173521912]),[]).
%
% cnf(202002504,plain,(p2(a,e,e)),inference(resolution,[status(thm)],[201716848,187094024]),[]).
%
% fof(rule_251,plain,(p3(A,B,B)|~m3(B,C,D)|~p2(A,B,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% cnf(176757680,plain,(p3(A,B,B)|~m3(B,C,D)|~p2(A,B,D)),inference(rewrite,[status(thm)],[rule_251]),[]).
%
% fof(rule_238,plain,(m3(A,A,A)|~p2(A,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% cnf(176587376,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/SYN156-1.tptp',unknown),[]).
%
% cnf(175503544,plain,(p2(A,A,A)|~k1(A)),inference(rewrite,[status(thm)],[rule_159]),[]).
%
% cnf(187209192,plain,(p2(e,e,e)),inference(resolution,[status(thm)],[175503544,187094024]),[]).
%
% cnf(189582464,plain,(m3(e,e,e)),inference(resolution,[status(thm)],[176587376,187209192]),[]).
%
% cnf(343935632,plain,(p3(A,e,e)|~p2(A,e,e)),inference(resolution,[status(thm)],[176757680,189582464]),[]).
%
% fof(axiom_18,plain,(p0(c,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% cnf(173499528,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/SYN156-1.tptp',unknown),[]).
%
% cnf(173748432,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/SYN156-1.tptp',unknown),[]).
%
% cnf(173563544,plain,(r0(b)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% cnf(186475008,plain,(l1(A,B)|~p0(C,A)|~m0(B,A,C)),inference(resolution,[status(thm)],[173748432,173563544]),[]).
%
% fof(axiom_27,plain,(m0(e,b,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% cnf(173652528,plain,(m0(e,b,c)),inference(rewrite,[status(thm)],[axiom_27]),[]).
%
% cnf(213724400,plain,(l1(b,e)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173499528,186475008,173652528]),[]).
%
% fof(rule_281,plain,(n4(A,B)|~p3(A,B,B)|~n4(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% cnf(177182592,plain,(n4(A,B)|~p3(A,B,B)|~n4(A,A)),inference(rewrite,[status(thm)],[rule_281]),[]).
%
% fof(prove_this,plain,(~n4(a,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% cnf(177887688,plain,(~n4(a,e)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(189497560,plain,(~p3(a,e,e)|~n4(a,a)),inference(resolution,[status(thm)],[177182592,177887688]),[]).
%
% fof(rule_255,plain,(q3(A,B)|~q2(C,A,B)|~n0(C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% cnf(176809704,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/SYN156-1.tptp',unknown),[]).
%
% cnf(173671664,plain,(n0(e,e)),inference(rewrite,[status(thm)],[axiom_30]),[]).
%
% cnf(188170736,plain,(q3(e,A)|~q2(e,e,A)),inference(resolution,[status(thm)],[176809704,173671664]),[]).
%
% fof(rule_274,plain,(k4(c)|~n0(c,d)|~q3(e,b)|~n3(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% fof(axiom_34,plain,(n0(c,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% cnf(173686528,plain,(n0(c,d)),inference(rewrite,[status(thm)],[axiom_34]),[]).
%
% cnf(177099456,plain,(k4(c)|~q3(e,b)|~n3(e)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_274,173686528]),[]).
%
% fof(rule_240,plain,(n3(A)|~p2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% cnf(176611008,plain,(n3(A)|~p2(B,C,A)),inference(rewrite,[status(thm)],[rule_240]),[]).
%
% cnf(189571432,plain,(n3(e)),inference(resolution,[status(thm)],[176611008,187209192]),[]).
%
% cnf(189651792,plain,(k4(c)|~q3(e,b)),inference(resolution,[status(thm)],[177099456,189571432]),[]).
%
% cnf(208942496,plain,(~q2(e,e,b)|k4(c)),inference(resolution,[status(thm)],[188170736,189651792]),[]).
%
% fof(rule_186,plain,(q2(A,A,B)|~l1(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% cnf(175868992,plain,(q2(A,A,B)|~l1(B,A)),inference(rewrite,[status(thm)],[rule_186]),[]).
%
% cnf(209036616,plain,(k4(c)|~l1(b,e)),inference(resolution,[status(thm)],[208942496,175868992]),[]).
%
% fof(rule_284,plain,(n4(A,A)|~k4(B)|~m3(A,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% cnf(177223696,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/SYN156-1.tptp',unknown),[]).
%
% cnf(176563376,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/SYN156-1.tptp',unknown),[]).
%
% cnf(175194440,plain,(n2(A)|~p1(B,C,A)),inference(rewrite,[status(thm)],[rule_137]),[]).
%
% fof(rule_075,plain,(p1(a,a,a)|~p0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN156-1.tptp',unknown),[]).
%
% cnf(173591488,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(174524136,plain,(p1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,173591488]),[]).
%
% cnf(189211232,plain,(n2(a)),inference(resolution,[status(thm)],[175194440,174524136]),[]).
%
% cnf(189360944,plain,(m3(a,a,a)),inference(resolution,[status(thm)],[176563376,189211232]),[]).
%
% cnf(190246192,plain,(n4(a,a)|~k4(A)),inference(resolution,[status(thm)],[177223696,189360944]),[]).
%
% cnf(209078408,plain,(~l1(b,e)|n4(a,a)),inference(resolution,[status(thm)],[209036616,190246192]),[]).
%
% cnf(210766128,plain,(~p3(a,e,e)|~l1(b,e)),inference(resolution,[status(thm)],[189497560,209078408]),[]).
%
% cnf(214378088,plain,(~p3(a,e,e)),inference(resolution,[status(thm)],[213724400,210766128]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[202002504,343935632,214378088]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------