TSTP Solution File: ALG068+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG068+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 : n017.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 18:25:43 EDT 2024
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 100
% Number of leaves : 31
% Syntax : Number of formulae : 351 ( 73 unt; 0 def)
% Number of atoms : 2486 (1601 equ)
% Maximal formula atoms : 250 ( 7 avg)
% Number of connectives : 2791 ( 656 ~;1616 |; 519 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 6 avg)
% Maximal term depth : 3 ( 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(f1954,plain,
$false,
inference(subsumption_resolution,[],[f1953,f165]) ).
fof(f165,plain,
e0 != e4,
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/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f1953,plain,
e0 = e4,
inference(forward_demodulation,[],[f1952,f1813]) ).
fof(f1813,plain,
e0 = op(e2,e2),
inference(subsumption_resolution,[],[f1804,f1133]) ).
fof(f1133,plain,
e4 = op(e2,e1),
inference(subsumption_resolution,[],[f1122,f169]) ).
fof(f169,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1122,plain,
( e2 = e3
| e4 = op(e2,e1) ),
inference(superposition,[],[f1118,f285]) ).
fof(f285,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e3 = op(e2,e4)
& e1 = op(e4,e2)
& e0 = op(op(e4,e2),op(e4,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f1118,plain,
( e2 = op(e2,e4)
| e4 = op(e2,e1) ),
inference(trivial_inequality_removal,[],[f1111]) ).
fof(f1111,plain,
( e4 != e4
| e2 = op(e2,e4)
| e4 = op(e2,e1) ),
inference(superposition,[],[f150,f1107]) ).
fof(f1107,plain,
( e4 = op(e2,e2)
| e4 = op(e2,e1) ),
inference(subsumption_resolution,[],[f1106,f171]) ).
fof(f171,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f1106,plain,
( e3 = e4
| e4 = op(e2,e2)
| e4 = op(e2,e1) ),
inference(forward_demodulation,[],[f1102,f1047]) ).
fof(f1047,plain,
e3 = op(e1,e2),
inference(subsumption_resolution,[],[f1046,f169]) ).
fof(f1046,plain,
( e2 = e3
| e3 = op(e1,e2) ),
inference(forward_demodulation,[],[f1045,f544]) ).
fof(f544,plain,
e2 = op(e0,e2),
inference(superposition,[],[f176,f535]) ).
fof(f535,plain,
e0 = unit,
inference(subsumption_resolution,[],[f515,f424]) ).
fof(f424,plain,
e0 != op(e1,e0),
inference(superposition,[],[f243,f376]) ).
fof(f376,plain,
e0 = op(e1,e1),
inference(forward_demodulation,[],[f283,f284]) ).
fof(f284,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f283,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f243,plain,
op(e1,e0) != op(e1,e1),
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/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f515,plain,
( e0 = op(e1,e0)
| e0 = unit ),
inference(superposition,[],[f172,f511]) ).
fof(f511,plain,
( e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f496,f419]) ).
fof(f419,plain,
e1 != op(e1,e2),
inference(superposition,[],[f209,f284]) ).
fof(f209,plain,
op(e1,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f496,plain,
( e1 = op(e1,e2)
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f175,f490]) ).
fof(f490,plain,
( e2 = unit
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f487,f432]) ).
fof(f432,plain,
e1 = op(e1,e0),
inference(unit_resulting_resolution,[],[f376,f141]) ).
fof(f141,plain,
( e0 != op(e1,e1)
| e1 = op(e1,e0) ),
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(e4,e4) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| 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(f10,plain,
( ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f23,plain,
( ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f24,plain,
( ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f26,plain,
( ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
( ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f29,plain,
( ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,plain,
( ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f31,plain,
( ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f33,plain,
( ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f34,plain,
( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f9,plain,
( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f487,plain,
( e1 != op(e1,e0)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f245,f461]) ).
fof(f461,plain,
( e1 = op(e1,e3)
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f175,f456]) ).
fof(f456,plain,
( e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(subsumption_resolution,[],[f444,f430]) ).
fof(f430,plain,
e1 != op(e4,e1),
inference(superposition,[],[f277,f284]) ).
fof(f277,plain,
op(e4,e1) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f444,plain,
( e1 = op(e4,e1)
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(superposition,[],[f174,f182]) ).
fof(f182,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/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f174,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f245,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f175,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f172,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f176,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f1045,plain,
( e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(subsumption_resolution,[],[f1044,f427]) ).
fof(f427,plain,
e3 != op(e2,e2),
inference(superposition,[],[f261,f285]) ).
fof(f261,plain,
op(e2,e2) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1044,plain,
( e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(subsumption_resolution,[],[f1032,f547]) ).
fof(f547,plain,
e3 = op(e3,e0),
inference(superposition,[],[f179,f535]) ).
fof(f179,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f1032,plain,
( e3 != op(e3,e0)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(superposition,[],[f264,f398]) ).
fof(f398,plain,
( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(subsumption_resolution,[],[f397,f167]) ).
fof(f167,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f397,plain,
( e1 = e3
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(forward_demodulation,[],[f313,f284]) ).
fof(f313,plain,
( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
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/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f264,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1102,plain,
( e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e2,e1) ),
inference(trivial_inequality_removal,[],[f1101]) ).
fof(f1101,plain,
( e4 != e4
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e2,e1) ),
inference(superposition,[],[f1012,f1091]) ).
fof(f1091,plain,
( e4 = op(e3,e1)
| e4 = op(e2,e1) ),
inference(subsumption_resolution,[],[f1090,f168]) ).
fof(f168,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f1090,plain,
( e1 = e4
| e4 = op(e3,e1)
| e4 = op(e2,e1) ),
inference(forward_demodulation,[],[f1089,f542]) ).
fof(f542,plain,
e1 = op(e0,e1),
inference(superposition,[],[f174,f535]) ).
fof(f1089,plain,
( e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e0,e1) ),
inference(subsumption_resolution,[],[f1079,f171]) ).
fof(f1079,plain,
( e3 = e4
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e0,e1) ),
inference(superposition,[],[f402,f748]) ).
fof(f748,plain,
e3 = op(e4,e1),
inference(subsumption_resolution,[],[f740,f546]) ).
fof(f546,plain,
e3 = op(e0,e3),
inference(superposition,[],[f178,f535]) ).
fof(f178,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f740,plain,
( e3 != op(e0,e3)
| e3 = op(e4,e1) ),
inference(superposition,[],[f216,f738]) ).
fof(f738,plain,
( e3 = op(e4,e3)
| e3 = op(e4,e1) ),
inference(subsumption_resolution,[],[f737,f171]) ).
fof(f737,plain,
( e3 = e4
| e3 = op(e4,e3)
| e3 = op(e4,e1) ),
inference(forward_demodulation,[],[f736,f549]) ).
fof(f549,plain,
e4 = op(e4,e0),
inference(superposition,[],[f181,f535]) ).
fof(f181,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f736,plain,
( e3 = op(e4,e3)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(subsumption_resolution,[],[f725,f285]) ).
fof(f725,plain,
( e3 != op(e2,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(superposition,[],[f231,f382]) ).
fof(f382,plain,
( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(subsumption_resolution,[],[f381,f167]) ).
fof(f381,plain,
( e1 = e3
| e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(forward_demodulation,[],[f332,f284]) ).
fof(f332,plain,
( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f231,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f216,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f402,plain,
( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e0,e1) ),
inference(subsumption_resolution,[],[f401,f165]) ).
fof(f401,plain,
( e0 = e4
| e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e0,e1) ),
inference(forward_demodulation,[],[f305,f376]) ).
fof(f305,plain,
( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1012,plain,
( e4 != op(e3,e1)
| e4 = op(e2,e2)
| e4 = op(e1,e2) ),
inference(subsumption_resolution,[],[f1011,f170]) ).
fof(f170,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f1011,plain,
( e2 = e4
| e4 != op(e3,e1)
| e4 = op(e2,e2)
| e4 = op(e1,e2) ),
inference(forward_demodulation,[],[f1006,f544]) ).
fof(f1006,plain,
( e4 != op(e3,e1)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(superposition,[],[f267,f394]) ).
fof(f394,plain,
( e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f393,f168]) ).
fof(f393,plain,
( e1 = e4
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(forward_demodulation,[],[f315,f284]) ).
fof(f315,plain,
( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f267,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f150,plain,
( e4 != op(e2,e2)
| e2 = op(e2,e4) ),
inference(cnf_transformation,[],[f35]) ).
fof(f1804,plain,
( e4 != op(e2,e1)
| e0 = op(e2,e2) ),
inference(superposition,[],[f257,f1795]) ).
fof(f1795,plain,
( e4 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(subsumption_resolution,[],[f1787,f842]) ).
fof(f842,plain,
e2 != op(e0,e3),
inference(superposition,[],[f216,f838]) ).
fof(f838,plain,
e2 = op(e4,e3),
inference(subsumption_resolution,[],[f837,f170]) ).
fof(f837,plain,
( e2 = e4
| e2 = op(e4,e3) ),
inference(forward_demodulation,[],[f836,f549]) ).
fof(f836,plain,
( e2 = op(e4,e3)
| e2 = op(e4,e0) ),
inference(subsumption_resolution,[],[f835,f169]) ).
fof(f835,plain,
( e2 = e3
| e2 = op(e4,e3)
| e2 = op(e4,e0) ),
inference(forward_demodulation,[],[f834,f748]) ).
fof(f834,plain,
( e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(subsumption_resolution,[],[f833,f168]) ).
fof(f833,plain,
( e1 = e4
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(forward_demodulation,[],[f832,f284]) ).
fof(f832,plain,
( e4 = op(e4,e2)
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(trivial_inequality_removal,[],[f819]) ).
fof(f819,plain,
( e2 != e2
| e4 = op(e4,e2)
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(superposition,[],[f158,f386]) ).
fof(f386,plain,
( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(subsumption_resolution,[],[f385,f166]) ).
fof(f166,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f385,plain,
( e1 = e2
| e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(forward_demodulation,[],[f330,f284]) ).
fof(f330,plain,
( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f158,plain,
( e2 != op(e4,e4)
| e4 = op(e4,e2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f1787,plain,
( e2 = op(e0,e3)
| e4 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(superposition,[],[f1515,f1771]) ).
fof(f1771,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e2) ),
inference(subsumption_resolution,[],[f1770,f163]) ).
fof(f163,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f1770,plain,
( e0 = e2
| e0 = op(e2,e3)
| e0 = op(e2,e2) ),
inference(forward_demodulation,[],[f1769,f545]) ).
fof(f545,plain,
e2 = op(e2,e0),
inference(superposition,[],[f177,f535]) ).
fof(f177,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f1769,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e0) ),
inference(subsumption_resolution,[],[f1768,f165]) ).
fof(f1768,plain,
( e0 = e4
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e0) ),
inference(forward_demodulation,[],[f1767,f1133]) ).
fof(f1767,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(subsumption_resolution,[],[f1756,f164]) ).
fof(f164,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1756,plain,
( e0 = e3
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(superposition,[],[f306,f285]) ).
fof(f306,plain,
( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1515,plain,
( e2 = op(op(e2,e3),e3)
| e4 = op(e2,e2) ),
inference(subsumption_resolution,[],[f1514,f432]) ).
fof(f1514,plain,
( e1 != op(e1,e0)
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3) ),
inference(forward_demodulation,[],[f1511,f542]) ).
fof(f1511,plain,
( e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3)
| e1 != op(op(e0,e1),e0) ),
inference(resolution,[],[f1510,f132]) ).
fof(f132,plain,
( ~ sP1
| e1 != op(op(e0,e1),e0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
fof(f1510,plain,
( sP1
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3) ),
inference(subsumption_resolution,[],[f1509,f376]) ).
fof(f1509,plain,
( e0 != op(e1,e1)
| sP1
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3) ),
inference(forward_demodulation,[],[f1506,f432]) ).
fof(f1506,plain,
( sP1
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3)
| e0 != op(op(e1,e0),e1) ),
inference(resolution,[],[f1505,f120]) ).
fof(f120,plain,
( ~ sP5
| e0 != op(op(e1,e0),e1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f1505,plain,
( sP5
| sP1
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3) ),
inference(subsumption_resolution,[],[f1504,f1239]) ).
fof(f1239,plain,
e2 = op(e3,e1),
inference(subsumption_resolution,[],[f1238,f167]) ).
fof(f1238,plain,
( e1 = e3
| e2 = op(e3,e1) ),
inference(forward_demodulation,[],[f1237,f542]) ).
fof(f1237,plain,
( e2 = op(e3,e1)
| e3 = op(e0,e1) ),
inference(subsumption_resolution,[],[f1236,f166]) ).
fof(f1236,plain,
( e1 = e2
| e2 = op(e3,e1)
| e3 = op(e0,e1) ),
inference(forward_demodulation,[],[f1235,f542]) ).
fof(f1235,plain,
( e2 = op(e3,e1)
| e2 = op(e0,e1)
| e3 = op(e0,e1) ),
inference(subsumption_resolution,[],[f1234,f170]) ).
fof(f1234,plain,
( e2 = e4
| e2 = op(e3,e1)
| e2 = op(e0,e1)
| e3 = op(e0,e1) ),
inference(forward_demodulation,[],[f1233,f1133]) ).
fof(f1233,plain,
( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| e3 = op(e0,e1) ),
inference(subsumption_resolution,[],[f1232,f426]) ).
fof(f426,plain,
e3 != op(e2,e1),
inference(superposition,[],[f259,f285]) ).
fof(f259,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1232,plain,
( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1) ),
inference(subsumption_resolution,[],[f1231,f752]) ).
fof(f752,plain,
e3 != op(e3,e1),
inference(superposition,[],[f202,f748]) ).
fof(f202,plain,
op(e3,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1231,plain,
( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1) ),
inference(subsumption_resolution,[],[f1216,f169]) ).
fof(f1216,plain,
( e2 = e3
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1) ),
inference(superposition,[],[f410,f406]) ).
fof(f406,plain,
( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1) ),
inference(subsumption_resolution,[],[f405,f164]) ).
fof(f405,plain,
( e0 = e3
| e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1) ),
inference(forward_demodulation,[],[f303,f376]) ).
fof(f303,plain,
( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f410,plain,
( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1) ),
inference(subsumption_resolution,[],[f409,f163]) ).
fof(f409,plain,
( e0 = e2
| e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1) ),
inference(forward_demodulation,[],[f301,f376]) ).
fof(f301,plain,
( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1504,plain,
( e2 != op(e3,e1)
| sP5
| sP1
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3) ),
inference(forward_demodulation,[],[f1501,f1047]) ).
fof(f1501,plain,
( sP5
| sP1
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3)
| e2 != op(op(e1,e2),e1) ),
inference(resolution,[],[f1500,f114]) ).
fof(f114,plain,
( ~ sP7
| e2 != op(op(e1,e2),e1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f1500,plain,
( sP7
| sP5
| sP1
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3) ),
inference(subsumption_resolution,[],[f1499,f748]) ).
fof(f1499,plain,
( e3 != op(e4,e1)
| sP1
| sP5
| sP7
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3) ),
inference(forward_demodulation,[],[f1496,f1162]) ).
fof(f1162,plain,
e4 = op(e1,e3),
inference(subsumption_resolution,[],[f1161,f168]) ).
fof(f1161,plain,
( e1 = e4
| e4 = op(e1,e3) ),
inference(forward_demodulation,[],[f1160,f432]) ).
fof(f1160,plain,
( e4 = op(e1,e3)
| e4 = op(e1,e0) ),
inference(subsumption_resolution,[],[f1159,f171]) ).
fof(f1159,plain,
( e3 = e4
| e4 = op(e1,e3)
| e4 = op(e1,e0) ),
inference(forward_demodulation,[],[f1158,f1047]) ).
fof(f1158,plain,
( e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e0) ),
inference(subsumption_resolution,[],[f1145,f548]) ).
fof(f548,plain,
e4 = op(e0,e4),
inference(superposition,[],[f180,f535]) ).
fof(f180,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1145,plain,
( e4 != op(e0,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e0) ),
inference(superposition,[],[f223,f404]) ).
fof(f404,plain,
( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e0) ),
inference(subsumption_resolution,[],[f403,f165]) ).
fof(f403,plain,
( e0 = e4
| e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e0) ),
inference(forward_demodulation,[],[f304,f376]) ).
fof(f304,plain,
( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f223,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1496,plain,
( sP1
| sP5
| sP7
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3)
| e3 != op(op(e1,e3),e1) ),
inference(resolution,[],[f1495,f111]) ).
fof(f111,plain,
( ~ sP8
| e3 != op(op(e1,e3),e1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f1495,plain,
( sP8
| sP1
| sP5
| sP7
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3) ),
inference(subsumption_resolution,[],[f1494,f1133]) ).
fof(f1494,plain,
( e4 != op(e2,e1)
| sP1
| sP8
| sP5
| sP7
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3) ),
inference(forward_demodulation,[],[f1491,f1240]) ).
fof(f1240,plain,
e2 = op(e1,e4),
inference(unit_resulting_resolution,[],[f1239,f802]) ).
fof(f802,plain,
( e2 != op(e3,e1)
| e2 = op(e1,e4) ),
inference(superposition,[],[f269,f796]) ).
fof(f796,plain,
( e2 = op(e3,e4)
| e2 = op(e1,e4) ),
inference(subsumption_resolution,[],[f795,f170]) ).
fof(f795,plain,
( e2 = e4
| e2 = op(e3,e4)
| e2 = op(e1,e4) ),
inference(forward_demodulation,[],[f794,f548]) ).
fof(f794,plain,
( e2 = op(e3,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(subsumption_resolution,[],[f793,f168]) ).
fof(f793,plain,
( e1 = e4
| e2 = op(e3,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(forward_demodulation,[],[f792,f284]) ).
fof(f792,plain,
( e4 = op(e4,e2)
| e2 = op(e3,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(trivial_inequality_removal,[],[f779]) ).
fof(f779,plain,
( e2 != e2
| e4 = op(e4,e2)
| e2 = op(e3,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(superposition,[],[f158,f384]) ).
fof(f384,plain,
( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(subsumption_resolution,[],[f383,f169]) ).
fof(f383,plain,
( e2 = e3
| e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(forward_demodulation,[],[f331,f285]) ).
fof(f331,plain,
( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f269,plain,
op(e3,e1) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1491,plain,
( sP1
| sP8
| sP5
| sP7
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3)
| e4 != op(op(e1,e4),e1) ),
inference(resolution,[],[f1490,f108]) ).
fof(f108,plain,
( ~ sP9
| e4 != op(op(e1,e4),e1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f1490,plain,
( sP9
| sP1
| sP8
| sP5
| sP7
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3) ),
inference(subsumption_resolution,[],[f1489,f544]) ).
fof(f1489,plain,
( e2 != op(e0,e2)
| sP5
| sP1
| sP8
| sP9
| sP7
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3) ),
inference(forward_demodulation,[],[f1488,f545]) ).
fof(f1488,plain,
( sP5
| sP1
| sP8
| sP9
| sP7
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3)
| op(e0,e2) != op(e2,e0) ),
inference(subsumption_resolution,[],[f1483,f127]) ).
fof(f127,plain,
( ~ sP2
| op(e0,e2) != op(e2,e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ~ sP2 ),
inference(nnf_transformation,[],[f12]) ).
fof(f1483,plain,
( sP5
| sP2
| sP1
| sP8
| sP9
| sP7
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3)
| op(e0,e2) != op(e2,e0) ),
inference(resolution,[],[f1480,f103]) ).
fof(f103,plain,
( ~ sP10
| op(e0,e2) != op(e2,e0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f1480,plain,
( sP10
| sP5
| sP2
| sP1
| sP8
| sP9
| sP7
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3) ),
inference(subsumption_resolution,[],[f1479,f284]) ).
fof(f1479,plain,
( e1 != op(e4,e2)
| sP7
| sP5
| sP2
| sP1
| sP8
| sP9
| sP10
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3) ),
inference(forward_demodulation,[],[f1476,f1133]) ).
fof(f1476,plain,
( sP7
| sP5
| sP2
| sP1
| sP8
| sP9
| sP10
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3)
| e1 != op(op(e2,e1),e2) ),
inference(resolution,[],[f1439,f102]) ).
fof(f102,plain,
( ~ sP11
| e1 != op(op(e2,e1),e2) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f1439,plain,
( sP11
| sP7
| sP5
| sP2
| sP1
| sP8
| sP9
| sP10
| e4 = op(e2,e2)
| e2 = op(op(e2,e3),e3) ),
inference(resolution,[],[f1437,f95]) ).
fof(f95,plain,
( ~ sP13
| e2 = op(op(e2,e3),e3) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f1437,plain,
( sP13
| sP8
| sP7
| sP5
| sP2
| sP1
| sP11
| sP9
| sP10
| e4 = op(e2,e2) ),
inference(subsumption_resolution,[],[f1436,f170]) ).
fof(f1436,plain,
( e2 = e4
| sP9
| sP8
| sP7
| sP5
| sP2
| sP1
| sP11
| sP13
| sP10
| e4 = op(e2,e2) ),
inference(forward_demodulation,[],[f1435,f544]) ).
fof(f1435,plain,
( sP9
| sP8
| sP7
| sP5
| sP2
| sP1
| sP11
| sP13
| sP10
| e4 = op(e2,e2)
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f1434,f171]) ).
fof(f1434,plain,
( e3 = e4
| sP9
| sP8
| sP7
| sP5
| sP2
| sP1
| sP11
| sP13
| sP10
| e4 = op(e2,e2)
| e4 = op(e0,e2) ),
inference(forward_demodulation,[],[f1433,f1047]) ).
fof(f1433,plain,
( sP9
| sP8
| sP7
| sP5
| sP2
| sP1
| sP11
| sP13
| sP10
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(trivial_inequality_removal,[],[f1432]) ).
fof(f1432,plain,
( e4 != e4
| sP9
| sP8
| sP7
| sP5
| sP2
| sP1
| sP11
| sP13
| sP10
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(duplicate_literal_removal,[],[f1430]) ).
fof(f1430,plain,
( e4 != e4
| sP9
| sP8
| sP7
| sP5
| sP2
| sP1
| sP11
| sP13
| sP10
| e4 = op(e2,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(superposition,[],[f1424,f394]) ).
fof(f1424,plain,
( e4 != op(e3,e2)
| sP9
| sP8
| sP7
| sP5
| sP2
| sP1
| sP11
| sP13
| sP10
| e4 = op(e2,e2) ),
inference(forward_demodulation,[],[f1421,f285]) ).
fof(f1421,plain,
( sP9
| sP8
| sP7
| sP5
| sP2
| sP1
| sP11
| sP13
| sP10
| e4 = op(e2,e2)
| e4 != op(op(e2,e4),e2) ),
inference(resolution,[],[f1420,f93]) ).
fof(f93,plain,
( ~ sP14
| e4 != op(op(e2,e4),e2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f1420,plain,
( sP14
| sP9
| sP8
| sP7
| sP5
| sP2
| sP1
| sP11
| sP13
| sP10
| e4 = op(e2,e2) ),
inference(subsumption_resolution,[],[f1419,f546]) ).
fof(f1419,plain,
( e3 != op(e0,e3)
| sP10
| sP9
| sP8
| sP7
| sP5
| sP2
| sP1
| sP11
| sP13
| sP14
| e4 = op(e2,e2) ),
inference(forward_demodulation,[],[f1418,f547]) ).
fof(f1418,plain,
( sP10
| sP9
| sP8
| sP7
| sP5
| sP2
| sP1
| sP11
| sP13
| sP14
| e4 = op(e2,e2)
| op(e0,e3) != op(e3,e0) ),
inference(subsumption_resolution,[],[f1415,f124]) ).
fof(f124,plain,
( ~ sP3
| op(e0,e3) != op(e3,e0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ~ sP3 ),
inference(nnf_transformation,[],[f13]) ).
fof(f1415,plain,
( sP10
| sP9
| sP8
| sP7
| sP5
| sP3
| sP2
| sP1
| sP11
| sP13
| sP14
| e4 = op(e2,e2)
| op(e0,e3) != op(e3,e0) ),
inference(resolution,[],[f1412,f88]) ).
fof(f88,plain,
( ~ sP15
| op(e0,e3) != op(e3,e0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f1412,plain,
( sP15
| sP10
| sP9
| sP8
| sP7
| sP5
| sP3
| sP2
| sP1
| sP11
| sP13
| sP14
| e4 = op(e2,e2) ),
inference(subsumption_resolution,[],[f1411,f426]) ).
fof(f1411,plain,
( e3 = op(e2,e1)
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP3
| sP2
| sP1
| sP15
| sP13
| sP14
| e4 = op(e2,e2) ),
inference(forward_demodulation,[],[f1408,f1239]) ).
fof(f1408,plain,
( sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP3
| sP2
| sP1
| sP15
| sP13
| sP14
| e4 = op(e2,e2)
| e3 = op(op(e3,e1),e1) ),
inference(resolution,[],[f1406,f86]) ).
fof(f86,plain,
( ~ sP16
| e3 = op(op(e3,e1),e1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f1406,plain,
( sP16
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP3
| sP2
| sP1
| sP15
| sP13
| sP14
| e4 = op(e2,e2) ),
inference(subsumption_resolution,[],[f1405,f170]) ).
fof(f1405,plain,
( e2 = e4
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP3
| sP2
| sP1
| sP15
| sP16
| sP14
| e4 = op(e2,e2) ),
inference(forward_demodulation,[],[f1404,f544]) ).
fof(f1404,plain,
( sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP3
| sP2
| sP1
| sP15
| sP16
| sP14
| e4 = op(e2,e2)
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f1403,f171]) ).
fof(f1403,plain,
( e3 = e4
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP3
| sP2
| sP1
| sP15
| sP16
| sP14
| e4 = op(e2,e2)
| e4 = op(e0,e2) ),
inference(forward_demodulation,[],[f1402,f1047]) ).
fof(f1402,plain,
( sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP3
| sP2
| sP1
| sP15
| sP16
| sP14
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(subsumption_resolution,[],[f1400,f838]) ).
fof(f1400,plain,
( e2 != op(e4,e3)
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP3
| sP2
| sP1
| sP15
| sP16
| sP14
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) ),
inference(superposition,[],[f1386,f394]) ).
fof(f1386,plain,
( e2 != op(op(e3,e2),e3)
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP3
| sP2
| sP1
| sP15
| sP16
| sP14 ),
inference(resolution,[],[f1385,f84]) ).
fof(f84,plain,
( ~ sP17
| e2 != op(op(e3,e2),e3) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f1385,plain,
( sP17
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP3
| sP2
| sP1
| sP15
| sP16 ),
inference(subsumption_resolution,[],[f1384,f166]) ).
fof(f1384,plain,
( e1 = e2
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP3
| sP2
| sP1
| sP17
| sP16 ),
inference(forward_demodulation,[],[f1383,f1240]) ).
fof(f1383,plain,
( sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP3
| sP2
| sP1
| sP17
| sP16
| e1 = op(e1,e4) ),
inference(subsumption_resolution,[],[f1380,f1162]) ).
fof(f1380,plain,
( e4 != op(e1,e3)
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP3
| sP2
| sP1
| sP17
| sP16
| e1 = op(e1,e4) ),
inference(superposition,[],[f1362,f889]) ).
fof(f889,plain,
( e1 = op(e3,e4)
| e1 = op(e1,e4) ),
inference(subsumption_resolution,[],[f888,f168]) ).
fof(f888,plain,
( e1 = e4
| e1 = op(e3,e4)
| e1 = op(e1,e4) ),
inference(forward_demodulation,[],[f887,f548]) ).
fof(f887,plain,
( e1 = op(e3,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) ),
inference(subsumption_resolution,[],[f886,f171]) ).
fof(f886,plain,
( e3 = e4
| e1 = op(e3,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) ),
inference(forward_demodulation,[],[f885,f748]) ).
fof(f885,plain,
( e4 = op(e4,e1)
| e1 = op(e3,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) ),
inference(trivial_inequality_removal,[],[f869]) ).
fof(f869,plain,
( e1 != e1
| e4 = op(e4,e1)
| e1 = op(e3,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) ),
inference(superposition,[],[f157,f388]) ).
fof(f388,plain,
( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) ),
inference(subsumption_resolution,[],[f387,f167]) ).
fof(f387,plain,
( e1 = e3
| e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) ),
inference(forward_demodulation,[],[f329,f285]) ).
fof(f329,plain,
( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f157,plain,
( e1 != op(e4,e4)
| e4 = op(e4,e1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f1362,plain,
( e4 != op(op(e3,e4),e3)
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP3
| sP2
| sP1
| sP17
| sP16 ),
inference(resolution,[],[f1361,f78]) ).
fof(f78,plain,
( ~ sP19
| e4 != op(op(e3,e4),e3) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f1361,plain,
( sP19
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP3
| sP2
| sP1
| sP17 ),
inference(subsumption_resolution,[],[f1360,f548]) ).
fof(f1360,plain,
( e4 != op(e0,e4)
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP3
| sP2
| sP1
| sP19 ),
inference(forward_demodulation,[],[f1359,f549]) ).
fof(f1359,plain,
( sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP3
| sP2
| sP1
| sP19
| op(e0,e4) != op(e4,e0) ),
inference(subsumption_resolution,[],[f1356,f121]) ).
fof(f121,plain,
( ~ sP4
| op(e0,e4) != op(e4,e0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f1356,plain,
( sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1
| sP19
| op(e0,e4) != op(e4,e0) ),
inference(resolution,[],[f1353,f73]) ).
fof(f73,plain,
( ~ sP20
| op(e0,e4) != op(e4,e0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f1353,plain,
( sP20
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1
| sP19 ),
inference(subsumption_resolution,[],[f1352,f170]) ).
fof(f1352,plain,
( e2 = e4
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1
| sP20 ),
inference(forward_demodulation,[],[f1351,f1239]) ).
fof(f1351,plain,
( e4 = op(e3,e1)
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1
| sP20 ),
inference(forward_demodulation,[],[f1348,f748]) ).
fof(f1348,plain,
( sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1
| sP20
| e4 = op(op(e4,e1),e1) ),
inference(resolution,[],[f1346,f71]) ).
fof(f71,plain,
( ~ sP21
| e4 = op(op(e4,e1),e1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f1346,plain,
( sP21
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1
| sP20 ),
inference(subsumption_resolution,[],[f1345,f1240]) ).
fof(f1345,plain,
( e2 != op(e1,e4)
| sP20
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1
| sP21 ),
inference(forward_demodulation,[],[f1342,f284]) ).
fof(f1342,plain,
( sP20
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1
| sP21
| e2 != op(op(e4,e2),e4) ),
inference(resolution,[],[f1341,f69]) ).
fof(f69,plain,
( ~ sP22
| e2 != op(op(e4,e2),e4) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f1341,plain,
( sP22
| sP20
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1
| sP21 ),
inference(subsumption_resolution,[],[f1337,f285]) ).
fof(f1337,plain,
( e3 != op(e2,e4)
| sP21
| sP20
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1
| sP22 ),
inference(superposition,[],[f679,f838]) ).
fof(f679,plain,
( e3 != op(op(e4,e3),e4)
| sP21
| sP20
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1
| sP22 ),
inference(resolution,[],[f375,f66]) ).
fof(f66,plain,
( ~ sP23
| e3 != op(op(e4,e3),e4) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f375,plain,
( sP23
| sP22
| sP21
| sP20
| sP19
| sP17
| sP16
| sP15
| sP14
| sP13
| sP11
| sP10
| sP9
| sP8
| sP7
| sP5
| sP4
| sP3
| sP2
| sP1 ),
inference(subsumption_resolution,[],[f374,f370]) ).
fof(f370,plain,
~ sP0,
inference(subsumption_resolution,[],[f134,f135]) ).
fof(f135,plain,
( ~ sP0
| e0 != op(op(e0,e0),e0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f134,plain,
( e0 = op(op(e0,e0),e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f374,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,[],[f373,f369]) ).
fof(f369,plain,
~ sP6,
inference(subsumption_resolution,[],[f116,f117]) ).
fof(f117,plain,
( ~ sP6
| e1 != op(op(e1,e1),e1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f116,plain,
( e1 = op(op(e1,e1),e1)
| ~ sP6 ),
inference(cnf_transformation,[],[f54]) ).
fof(f373,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,[],[f372,f368]) ).
fof(f368,plain,
~ sP12,
inference(subsumption_resolution,[],[f98,f99]) ).
fof(f99,plain,
( ~ sP12
| e2 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f98,plain,
( e2 = op(op(e2,e2),e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f48]) ).
fof(f372,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,[],[f371,f367]) ).
fof(f367,plain,
~ sP18,
inference(subsumption_resolution,[],[f80,f81]) ).
fof(f81,plain,
( ~ sP18
| e3 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f80,plain,
( e3 = op(op(e3,e3),e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f42]) ).
fof(f371,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,[],[f161,f366]) ).
fof(f366,plain,
~ sP24,
inference(subsumption_resolution,[],[f62,f63]) ).
fof(f63,plain,
( ~ sP24
| e4 != op(op(e4,e4),e4) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ~ sP24 ),
inference(nnf_transformation,[],[f34]) ).
fof(f62,plain,
( e4 = op(op(e4,e4),e4)
| ~ sP24 ),
inference(cnf_transformation,[],[f36]) ).
fof(f161,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(f257,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1952,plain,
e4 = op(e2,e2),
inference(subsumption_resolution,[],[f1942,f843]) ).
fof(f843,plain,
e2 != op(e1,e3),
inference(superposition,[],[f219,f838]) ).
fof(f219,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1942,plain,
( e2 = op(e1,e3)
| e4 = op(e2,e2) ),
inference(superposition,[],[f1515,f1925]) ).
fof(f1925,plain,
e1 = op(e2,e3),
inference(subsumption_resolution,[],[f1924,f166]) ).
fof(f1924,plain,
( e1 = e2
| e1 = op(e2,e3) ),
inference(forward_demodulation,[],[f1923,f545]) ).
fof(f1923,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e0) ),
inference(subsumption_resolution,[],[f1922,f168]) ).
fof(f1922,plain,
( e1 = e4
| e1 = op(e2,e3)
| e1 = op(e2,e0) ),
inference(forward_demodulation,[],[f1921,f1133]) ).
fof(f1921,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(subsumption_resolution,[],[f1920,f420]) ).
fof(f420,plain,
e1 != op(e2,e2),
inference(superposition,[],[f211,f284]) ).
fof(f211,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1920,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(subsumption_resolution,[],[f1906,f167]) ).
fof(f1906,plain,
( e1 = e3
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(superposition,[],[f308,f285]) ).
fof(f308,plain,
( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG068+1 : TPTP v8.2.0. Released v2.7.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n017.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 23:27:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (24613)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (24620)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)
% 0.15/0.38 % (24619)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)
% 0.15/0.38 % (24617)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (24615)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (24618)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)
% 0.15/0.39 % (24616)WARNING: value z3 for option sas not known
% 0.15/0.39 % (24616)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)
% 0.15/0.40 % (24614)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.41 Detected minimum model sizes of [5]
% 0.21/0.41 Detected maximum model sizes of [max]
% 0.21/0.41 TRYING [5]
% 0.21/0.42 % (24620)First to succeed.
% 0.21/0.43 % (24620)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24613"
% 0.21/0.43 % (24620)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for theBenchmark
% 0.21/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44 % (24620)------------------------------
% 0.21/0.44 % (24620)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.44 % (24620)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (24620)Memory used [KB]: 1233
% 0.21/0.44 % (24620)Time elapsed: 0.049 s
% 0.21/0.44 % (24620)Instructions burned: 114 (million)
% 0.21/0.44 % (24613)Success in time 0.073 s
%------------------------------------------------------------------------------