TSTP Solution File: ALG063+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG063+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 18:25:30 EDT 2024
% Result : Theorem 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 69
% Number of leaves : 31
% Syntax : Number of formulae : 214 ( 48 unt; 0 def)
% Number of atoms : 1662 (1083 equ)
% Maximal formula atoms : 250 ( 7 avg)
% Number of connectives : 1808 ( 360 ~;1008 |; 440 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 26 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f872,plain,
$false,
inference(subsumption_resolution,[],[f871,f144]) ).
fof(f144,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f871,plain,
e0 = e3,
inference(forward_demodulation,[],[f870,f835]) ).
fof(f835,plain,
e0 = op(e0,e0),
inference(superposition,[],[f152,f830]) ).
fof(f830,plain,
e0 = unit,
inference(subsumption_resolution,[],[f810,f399]) ).
fof(f399,plain,
e0 != op(e1,e0),
inference(superposition,[],[f224,f355]) ).
fof(f355,plain,
e0 = op(e1,e2),
inference(forward_demodulation,[],[f354,f353]) ).
fof(f353,plain,
e2 = op(e4,e4),
inference(forward_demodulation,[],[f264,f266]) ).
fof(f266,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e4 = op(e1,e1)
& e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,op(op(e1,e1),op(e1,e1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f264,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[],[f6]) ).
fof(f354,plain,
e0 = op(e1,op(e4,e4)),
inference(forward_demodulation,[],[f263,f266]) ).
fof(f263,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f224,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f810,plain,
( e0 = op(e1,e0)
| e0 = unit ),
inference(superposition,[],[f152,f806]) ).
fof(f806,plain,
( e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f789,f393]) ).
fof(f393,plain,
e0 != op(e0,e2),
inference(superposition,[],[f183,f355]) ).
fof(f183,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f789,plain,
( e0 = op(e0,e2)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f153,f785]) ).
fof(f785,plain,
( e2 = unit
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f784,f144]) ).
fof(f784,plain,
( e0 = e3
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(duplicate_literal_removal,[],[f771]) ).
fof(f771,plain,
( e0 = e3
| e2 = unit
| e1 = unit
| e0 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f735,f436]) ).
fof(f436,plain,
( e3 = op(e3,e3)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f158,f428]) ).
fof(f428,plain,
( e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f418,f406]) ).
fof(f406,plain,
e2 != op(e4,e2),
inference(superposition,[],[f261,f353]) ).
fof(f261,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f418,plain,
( e2 = op(e4,e2)
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f156,f162]) ).
fof(f162,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit )
& e4 = op(e4,unit)
& e4 = op(unit,e4)
& e3 = op(e3,unit)
& e3 = op(unit,e3)
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& e1 = op(e1,unit)
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& e0 = op(unit,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f156,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f158,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f735,plain,
( e0 = op(e3,e3)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f725,f149]) ).
fof(f149,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f725,plain,
( e2 = e3
| e0 = op(e3,e3)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f724,f436]) ).
fof(f724,plain,
( e2 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(subsumption_resolution,[],[f723,f150]) ).
fof(f150,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f723,plain,
( e2 = e4
| e2 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(forward_demodulation,[],[f722,f266]) ).
fof(f722,plain,
( e2 = op(e3,e3)
| e0 = op(e3,e3)
| e2 = op(e1,e1) ),
inference(subsumption_resolution,[],[f721,f112]) ).
fof(f112,plain,
( ~ sP7
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f721,plain,
( sP7
| e2 = op(e3,e3)
| e0 = op(e3,e3)
| e2 = op(e1,e1) ),
inference(subsumption_resolution,[],[f720,f712]) ).
fof(f712,plain,
~ sP2,
inference(unit_resulting_resolution,[],[f711,f127]) ).
fof(f127,plain,
( ~ sP2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f711,plain,
op(e0,e0) != e2,
inference(subsumption_resolution,[],[f710,f149]) ).
fof(f710,plain,
( op(e0,e0) != e2
| e2 = e3 ),
inference(inner_rewriting,[],[f709]) ).
fof(f709,plain,
( op(e0,e0) != e2
| op(e0,e0) = e3 ),
inference(superposition,[],[f163,f699]) ).
fof(f699,plain,
( e2 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(trivial_inequality_removal,[],[f697]) ).
fof(f697,plain,
( e2 != e2
| op(e0,e0) = e3
| e2 = op(e1,e0) ),
inference(superposition,[],[f688,f552]) ).
fof(f552,plain,
( e2 = op(e1,e3)
| e2 = op(e1,e0) ),
inference(trivial_inequality_removal,[],[f550]) ).
fof(f550,plain,
( e2 != e2
| e2 = op(e1,e3)
| e2 = op(e1,e0) ),
inference(superposition,[],[f395,f383]) ).
fof(f383,plain,
( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e0) ),
inference(subsumption_resolution,[],[f382,f150]) ).
fof(f382,plain,
( e2 = e4
| e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e0) ),
inference(forward_demodulation,[],[f381,f266]) ).
fof(f381,plain,
( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(subsumption_resolution,[],[f380,f143]) ).
fof(f143,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f380,plain,
( e0 = e2
| e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(forward_demodulation,[],[f281,f355]) ).
fof(f281,plain,
( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) )
& ( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) )
& ( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) )
& ( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) )
& ( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) )
& ( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) )
& ( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) )
& ( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) )
& ( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) )
& ( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) )
& ( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) )
& ( e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) )
& ( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e4)
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) )
& ( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) )
& ( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 )
& ( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 )
& ( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 )
& ( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f395,plain,
e2 != op(e1,e4),
inference(superposition,[],[f209,f353]) ).
fof(f209,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f688,plain,
( e2 != op(e1,e3)
| op(e0,e0) = e3 ),
inference(superposition,[],[f198,f685]) ).
fof(f685,plain,
( e2 = op(e3,e3)
| op(e0,e0) = e3 ),
inference(subsumption_resolution,[],[f684,f144]) ).
fof(f684,plain,
( e0 = e3
| e2 = op(e3,e3)
| op(e0,e0) = e3 ),
inference(forward_demodulation,[],[f683,f408]) ).
fof(f408,plain,
e3 = op(e2,e2),
inference(superposition,[],[f352,f353]) ).
fof(f352,plain,
e3 = op(op(e4,e4),op(e4,e4)),
inference(forward_demodulation,[],[f265,f266]) ).
fof(f265,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f683,plain,
( e2 = op(e3,e3)
| op(e0,e0) = e3
| e0 = op(e2,e2) ),
inference(subsumption_resolution,[],[f681,f128]) ).
fof(f128,plain,
( ~ sP2
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f681,plain,
( sP2
| e2 = op(e3,e3)
| op(e0,e0) = e3
| e0 = op(e2,e2) ),
inference(resolution,[],[f678,f103]) ).
fof(f103,plain,
( ~ sP10
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
( ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f678,plain,
( sP10
| sP2
| e2 = op(e3,e3)
| op(e0,e0) = e3 ),
inference(subsumption_resolution,[],[f677,f150]) ).
fof(f677,plain,
( e2 = e4
| sP10
| sP2
| e2 = op(e3,e3)
| op(e0,e0) = e3 ),
inference(forward_demodulation,[],[f676,f266]) ).
fof(f676,plain,
( sP10
| sP2
| e2 = op(e3,e3)
| op(e0,e0) = e3
| e2 = op(e1,e1) ),
inference(subsumption_resolution,[],[f674,f112]) ).
fof(f674,plain,
( sP10
| sP7
| sP2
| e2 = op(e3,e3)
| op(e0,e0) = e3
| e2 = op(e1,e1) ),
inference(resolution,[],[f670,f101]) ).
fof(f101,plain,
( ~ sP11
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f670,plain,
( sP11
| sP10
| sP7
| sP2
| e2 = op(e3,e3)
| op(e0,e0) = e3 ),
inference(subsumption_resolution,[],[f668,f124]) ).
fof(f124,plain,
( ~ sP3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f668,plain,
( sP11
| sP10
| sP7
| sP3
| sP2
| e2 = op(e3,e3)
| op(e0,e0) = e3 ),
inference(resolution,[],[f666,f89]) ).
fof(f89,plain,
( ~ sP15
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f666,plain,
( sP15
| sP11
| sP10
| sP7
| sP3
| sP2
| e2 = op(e3,e3) ),
inference(subsumption_resolution,[],[f665,f151]) ).
fof(f151,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f665,plain,
( e3 = e4
| sP15
| sP11
| sP10
| sP7
| sP3
| sP2
| e2 = op(e3,e3) ),
inference(forward_demodulation,[],[f664,f266]) ).
fof(f664,plain,
( sP15
| sP11
| sP10
| sP7
| sP3
| sP2
| e2 = op(e3,e3)
| e3 = op(e1,e1) ),
inference(subsumption_resolution,[],[f662,f109]) ).
fof(f109,plain,
( ~ sP8
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f662,plain,
( sP15
| sP11
| sP10
| sP8
| sP7
| sP3
| sP2
| e2 = op(e3,e3)
| e3 = op(e1,e1) ),
inference(resolution,[],[f660,f86]) ).
fof(f86,plain,
( ~ sP16
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f660,plain,
( sP16
| sP15
| sP11
| sP10
| sP8
| sP7
| sP3
| sP2
| e2 = op(e3,e3) ),
inference(subsumption_resolution,[],[f659,f95]) ).
fof(f95,plain,
( ~ sP13
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f659,plain,
( sP16
| sP15
| sP13
| sP11
| sP10
| sP8
| sP7
| sP3
| sP2
| e2 = op(e3,e3) ),
inference(resolution,[],[f656,f82]) ).
fof(f82,plain,
( ~ sP17
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
( ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f656,plain,
( sP17
| sP16
| sP15
| sP13
| sP11
| sP10
| sP8
| sP7
| sP3
| sP2 ),
inference(subsumption_resolution,[],[f655,f143]) ).
fof(f655,plain,
( e0 = e2
| sP17
| sP16
| sP15
| sP13
| sP11
| sP10
| sP8
| sP7
| sP3
| sP2 ),
inference(forward_demodulation,[],[f654,f353]) ).
fof(f654,plain,
( sP17
| sP16
| sP15
| sP13
| sP11
| sP10
| sP8
| sP7
| sP3
| sP2
| e0 = op(e4,e4) ),
inference(subsumption_resolution,[],[f652,f122]) ).
fof(f122,plain,
( ~ sP4
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f652,plain,
( sP17
| sP16
| sP15
| sP13
| sP11
| sP10
| sP8
| sP7
| sP4
| sP3
| sP2
| e0 = op(e4,e4) ),
inference(resolution,[],[f649,f73]) ).
fof(f73,plain,
( ~ sP20
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f649,plain,
( sP20
| sP17
| sP16
| sP15
| sP13
| sP11
| sP10
| sP8
| sP7
| sP4
| sP3
| sP2 ),
inference(subsumption_resolution,[],[f648,f146]) ).
fof(f146,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f648,plain,
( e1 = e2
| sP20
| sP17
| sP16
| sP15
| sP13
| sP11
| sP10
| sP8
| sP7
| sP4
| sP3
| sP2 ),
inference(forward_demodulation,[],[f647,f353]) ).
fof(f647,plain,
( sP20
| sP17
| sP16
| sP15
| sP13
| sP11
| sP10
| sP8
| sP7
| sP4
| sP3
| sP2
| e1 = op(e4,e4) ),
inference(subsumption_resolution,[],[f646,f107]) ).
fof(f107,plain,
( ~ sP9
| e1 = op(e4,e4) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
( ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f646,plain,
( sP20
| sP17
| sP16
| sP15
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP4
| sP3
| sP2
| e1 = op(e4,e4) ),
inference(resolution,[],[f643,f70]) ).
fof(f70,plain,
( ~ sP21
| e1 = op(e4,e4) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f643,plain,
( sP21
| sP20
| sP17
| sP16
| sP15
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP4
| sP3
| sP2 ),
inference(subsumption_resolution,[],[f642,f151]) ).
fof(f642,plain,
( e3 = e4
| sP21
| sP20
| sP17
| sP16
| sP15
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP4
| sP3
| sP2 ),
inference(forward_demodulation,[],[f641,f408]) ).
fof(f641,plain,
( sP21
| sP20
| sP17
| sP16
| sP15
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP4
| sP3
| sP2
| e4 = op(e2,e2) ),
inference(subsumption_resolution,[],[f639,f91]) ).
fof(f91,plain,
( ~ sP14
| e4 = op(e2,e2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
( ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f639,plain,
( sP21
| sP20
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP4
| sP3
| sP2
| e4 = op(e2,e2) ),
inference(resolution,[],[f637,f68]) ).
fof(f68,plain,
( ~ sP22
| e4 = op(e2,e2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f637,plain,
( sP22
| sP21
| sP20
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP4
| sP3
| sP2 ),
inference(subsumption_resolution,[],[f636,f149]) ).
fof(f636,plain,
( e2 = e3
| sP22
| sP21
| sP20
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP4
| sP3
| sP2 ),
inference(forward_demodulation,[],[f635,f353]) ).
fof(f635,plain,
( sP22
| sP21
| sP20
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP4
| sP3
| sP2
| e3 = op(e4,e4) ),
inference(subsumption_resolution,[],[f634,f77]) ).
fof(f77,plain,
( ~ sP19
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f634,plain,
( sP22
| sP21
| sP20
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP4
| sP3
| sP2
| e3 = op(e4,e4) ),
inference(subsumption_resolution,[],[f633,f401]) ).
fof(f401,plain,
~ sP1,
inference(unit_resulting_resolution,[],[f400,f131]) ).
fof(f131,plain,
( ~ sP1
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
( ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f400,plain,
e0 != op(e1,e1),
inference(superposition,[],[f227,f355]) ).
fof(f227,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f633,plain,
( sP22
| sP21
| sP20
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP4
| sP3
| sP2
| sP1
| e3 = op(e4,e4) ),
inference(subsumption_resolution,[],[f627,f402]) ).
fof(f402,plain,
~ sP5,
inference(unit_resulting_resolution,[],[f400,f118]) ).
fof(f118,plain,
( ~ sP5
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
( ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f627,plain,
( sP22
| sP21
| sP20
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1
| e3 = op(e4,e4) ),
inference(resolution,[],[f351,f64]) ).
fof(f64,plain,
( ~ sP23
| e3 = op(e4,e4) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f351,plain,
( sP23
| sP22
| sP21
| sP20
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1 ),
inference(subsumption_resolution,[],[f350,f346]) ).
fof(f346,plain,
~ sP0,
inference(subsumption_resolution,[],[f134,f135]) ).
fof(f135,plain,
( ~ sP0
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f134,plain,
( e0 = op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f350,plain,
( sP23
| sP22
| sP21
| sP20
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(subsumption_resolution,[],[f349,f345]) ).
fof(f345,plain,
~ sP6,
inference(subsumption_resolution,[],[f116,f117]) ).
fof(f117,plain,
( ~ sP6
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f116,plain,
( e1 = op(e1,e1)
| ~ sP6 ),
inference(cnf_transformation,[],[f54]) ).
fof(f349,plain,
( sP23
| sP22
| sP21
| sP20
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(subsumption_resolution,[],[f348,f344]) ).
fof(f344,plain,
~ sP12,
inference(subsumption_resolution,[],[f98,f99]) ).
fof(f99,plain,
( ~ sP12
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f98,plain,
( e2 = op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f48]) ).
fof(f348,plain,
( sP23
| sP22
| sP21
| sP20
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(subsumption_resolution,[],[f347,f343]) ).
fof(f343,plain,
~ sP18,
inference(subsumption_resolution,[],[f80,f81]) ).
fof(f81,plain,
( ~ sP18
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f80,plain,
( e3 = op(e3,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f42]) ).
fof(f347,plain,
( sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(subsumption_resolution,[],[f141,f342]) ).
fof(f342,plain,
~ sP24,
inference(subsumption_resolution,[],[f62,f63]) ).
fof(f63,plain,
( ~ sP24
| e4 != op(e4,e4) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ~ sP24 ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f62,plain,
( e4 = op(e4,e4)
| ~ sP24 ),
inference(cnf_transformation,[],[f36]) ).
fof(f141,plain,
( sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 )
& ( e4 = op(e4,e4)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| e4 = op(e1,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e4)
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| e3 = op(e1,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e4)
| e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e1,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e4)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| e0 = op(e0,e0) ) ),
inference(definition_folding,[],[f9,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f9,plain,
( ( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) ) )
& ( e4 = op(e4,e4)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| e4 = op(e1,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e4)
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| e3 = op(e1,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e4)
| e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e1,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e4)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| e0 = op(e0,e0) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) ) )
& ( e4 = op(e4,e4)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| e4 = op(e1,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e4)
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| e3 = op(e1,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e4)
| e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e1,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e4)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| e0 = op(e0,e0) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( ( e4 != op(e4,e4)
& e4 = op(e4,e4)
& e4 = op(e4,e4) )
| ( e4 != op(e4,e3)
& e4 = op(e3,e3)
& e3 = op(e4,e4) )
| ( e4 != op(e4,e2)
& e4 = op(e2,e2)
& e2 = op(e4,e4) )
| ( e4 != op(e4,e1)
& e4 = op(e1,e1)
& e1 = op(e4,e4) )
| ( e4 != op(e4,e0)
& op(e0,e0) = e4
& e0 = op(e4,e4) )
| ( e3 != op(e3,e4)
& e3 = op(e4,e4)
& e4 = op(e3,e3) )
| ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e3 != op(e3,e2)
& e3 = op(e2,e2)
& e2 = op(e3,e3) )
| ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ( e3 != op(e3,e0)
& op(e0,e0) = e3
& e0 = op(e3,e3) )
| ( e2 != op(e2,e4)
& e2 = op(e4,e4)
& e4 = op(e2,e2) )
| ( e2 != op(e2,e3)
& e2 = op(e3,e3)
& e3 = op(e2,e2) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 != op(e2,e1)
& e2 = op(e1,e1)
& e1 = op(e2,e2) )
| ( e2 != op(e2,e0)
& op(e0,e0) = e2
& e0 = op(e2,e2) )
| ( e1 != op(e1,e4)
& e1 = op(e4,e4)
& e4 = op(e1,e1) )
| ( e1 != op(e1,e3)
& e1 = op(e3,e3)
& e3 = op(e1,e1) )
| ( e1 != op(e1,e2)
& e1 = op(e2,e2)
& e2 = op(e1,e1) )
| ( e1 != op(e1,e1)
& e1 = op(e1,e1)
& e1 = op(e1,e1) )
| ( e1 != op(e1,e0)
& op(e0,e0) = e1
& e0 = op(e1,e1) )
| ( e0 != op(e0,e4)
& e0 = op(e4,e4)
& op(e0,e0) = e4 )
| ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e0 != op(e0,e2)
& e0 = op(e2,e2)
& op(e0,e0) = e2 )
| ( e0 != op(e0,e1)
& e0 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 != op(e0,e0)
& e0 = op(e0,e0)
& e0 = op(e0,e0) ) )
& ( e4 = op(e4,e4)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| e4 = op(e1,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e4)
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| e3 = op(e1,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e4)
| e2 = op(e3,e3)
| e2 = op(e2,e2)
| e2 = op(e1,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e4)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e1,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e4)
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e1,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f198,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f163,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f720,plain,
( sP7
| sP2
| e2 = op(e3,e3)
| e0 = op(e3,e3)
| e2 = op(e1,e1) ),
inference(subsumption_resolution,[],[f716,f713]) ).
fof(f713,plain,
~ sP10,
inference(unit_resulting_resolution,[],[f711,f104]) ).
fof(f104,plain,
( ~ sP10
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f50]) ).
fof(f716,plain,
( sP10
| sP7
| sP2
| e2 = op(e3,e3)
| e0 = op(e3,e3)
| e2 = op(e1,e1) ),
inference(resolution,[],[f671,f101]) ).
fof(f671,plain,
( sP11
| sP10
| sP7
| sP2
| e2 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(subsumption_resolution,[],[f669,f125]) ).
fof(f125,plain,
( ~ sP3
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f57]) ).
fof(f669,plain,
( sP11
| sP10
| sP7
| sP3
| sP2
| e2 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(resolution,[],[f666,f88]) ).
fof(f88,plain,
( ~ sP15
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f45]) ).
fof(f153,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f152,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f870,plain,
op(e0,e0) = e3,
inference(subsumption_resolution,[],[f861,f146]) ).
fof(f861,plain,
( e1 = e2
| op(e0,e0) = e3 ),
inference(superposition,[],[f838,f699]) ).
fof(f838,plain,
e1 = op(e1,e0),
inference(superposition,[],[f155,f830]) ).
fof(f155,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG063+1 : TPTP v8.2.0. Released v2.7.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n023.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat May 18 22:44:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (2862)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (2866)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38 % (2868)WARNING: value z3 for option sas not known
% 0.20/0.38 % (2867)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 % (2870)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.38 % (2868)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.38 % (2871)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.38 % (2869)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.38 % (2872)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.41 Detected minimum model sizes of [5]
% 0.20/0.41 Detected maximum model sizes of [max]
% 0.20/0.41 % (2872)First to succeed.
% 0.20/0.41 TRYING [5]
% 0.20/0.42 % (2872)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2862"
% 0.20/0.42 % (2872)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Theorem for theBenchmark
% 0.20/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43 % (2872)------------------------------
% 0.20/0.43 % (2872)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.43 % (2872)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (2872)Memory used [KB]: 1070
% 0.20/0.43 % (2872)Time elapsed: 0.045 s
% 0.20/0.43 % (2872)Instructions burned: 69 (million)
% 0.20/0.43 % (2862)Success in time 0.067 s
%------------------------------------------------------------------------------