TSTP Solution File: ALG082+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG082+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 : Sun May 5 04:18:37 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 21
% Syntax : Number of formulae : 507 ( 209 unt; 0 def)
% Number of atoms : 1493 ( 985 equ)
% Maximal formula atoms : 110 ( 2 avg)
% Number of connectives : 1494 ( 508 ~; 605 |; 364 &)
% ( 15 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1102,plain,
$false,
inference(avatar_sat_refutation,[],[f245,f283,f325,f380,f406,f425,f447,f451,f472,f476,f496,f550,f568,f573,f577,f582,f602,f607,f611,f616,f667,f674,f679,f686,f691,f754,f756,f758,f760,f762,f764,f766,f849,f852,f922,f938,f996,f1005,f1010,f1013,f1049,f1053,f1074,f1094,f1098]) ).
fof(f1098,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1097]) ).
fof(f1097,plain,
( $false
| ~ spl0_4
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1096,f94]) ).
fof(f94,plain,
e21 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f1096,plain,
( e21 = e22
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1095,f138]) ).
fof(f138,plain,
e21 = op2(e22,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e20 = op2(e24,e24)
& e22 = op2(e24,e23)
& e21 = op2(e24,e22)
& e23 = op2(e24,e21)
& e24 = op2(e24,e20)
& e21 = op2(e23,e24)
& e24 = op2(e23,e23)
& e20 = op2(e23,e22)
& e22 = op2(e23,e21)
& e23 = op2(e23,e20)
& e23 = op2(e22,e24)
& e21 = op2(e22,e23)
& e24 = op2(e22,e22)
& e20 = op2(e22,e21)
& e22 = op2(e22,e20)
& e22 = op2(e21,e24)
& e20 = op2(e21,e23)
& e23 = op2(e21,e22)
& e24 = op2(e21,e21)
& e21 = op2(e21,e20)
& e24 = op2(e20,e24)
& e23 = op2(e20,e23)
& e22 = op2(e20,e22)
& e21 = op2(e20,e21)
& e20 = op2(e20,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f1095,plain,
( e22 = op2(e22,e23)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1080,f240]) ).
fof(f240,plain,
( e23 = h(e10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f238,plain,
( spl0_4
<=> e23 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1080,plain,
( e22 = op2(e22,h(e10))
| ~ spl0_8 ),
inference(superposition,[],[f180,f316]) ).
fof(f316,plain,
( e22 = h(e11)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f314,plain,
( spl0_8
<=> e22 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f180,plain,
h(e11) = op2(h(e11),h(e10)),
inference(forward_demodulation,[],[f25,f155]) ).
fof(f155,plain,
e11 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e12 = op1(e14,e14)
& e10 = op1(e14,e13)
& e11 = op1(e14,e12)
& e13 = op1(e14,e11)
& e14 = op1(e14,e10)
& e10 = op1(e13,e14)
& e11 = op1(e13,e13)
& e14 = op1(e13,e12)
& e12 = op1(e13,e11)
& e13 = op1(e13,e10)
& e11 = op1(e12,e14)
& e14 = op1(e12,e13)
& e13 = op1(e12,e12)
& e10 = op1(e12,e11)
& e12 = op1(e12,e10)
& e13 = op1(e11,e14)
& e12 = op1(e11,e13)
& e10 = op1(e11,e12)
& e14 = op1(e11,e11)
& e11 = op1(e11,e10)
& e14 = op1(e10,e14)
& e13 = op1(e10,e13)
& e12 = op1(e10,e12)
& e11 = op1(e10,e11)
& e10 = op1(e10,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f25,plain,
h(op1(e11,e10)) = op2(h(e11),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( e14 = j(h(e14))
& e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e24 = h(j(e24))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) )
& ( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( e14 = j(h(e14))
& e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e24 = h(j(e24))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) )
& ( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,negated_conjecture,
~ ( ( ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) )
& ( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) )
=> ~ ( e14 = j(h(e14))
& e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e24 = h(j(e24))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
( ( ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) )
& ( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) )
=> ~ ( e14 = j(h(e14))
& e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e24 = h(j(e24))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f1094,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1093]) ).
fof(f1093,plain,
( $false
| ~ spl0_4
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1092,f91]) ).
fof(f91,plain,
e20 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f1092,plain,
( e20 = e22
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1091,f142]) ).
fof(f142,plain,
e20 = op2(e23,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f1091,plain,
( e22 = op2(e23,e22)
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1079,f240]) ).
fof(f1079,plain,
( e22 = op2(h(e10),e22)
| ~ spl0_8 ),
inference(superposition,[],[f176,f316]) ).
fof(f176,plain,
h(e11) = op2(h(e10),h(e11)),
inference(forward_demodulation,[],[f21,f151]) ).
fof(f151,plain,
e11 = op1(e10,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f21,plain,
h(op1(e10,e11)) = op2(h(e10),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f1074,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1073]) ).
fof(f1073,plain,
( $false
| ~ spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1072,f90]) ).
fof(f90,plain,
e20 != e21,
inference(cnf_transformation,[],[f2]) ).
fof(f1072,plain,
( e20 = e21
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1071,f133]) ).
fof(f133,plain,
e20 = op2(e21,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f1071,plain,
( e21 = op2(e21,e23)
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1059,f240]) ).
fof(f1059,plain,
( e21 = op2(e21,h(e10))
| ~ spl0_7 ),
inference(superposition,[],[f180,f312]) ).
fof(f312,plain,
( e21 = h(e11)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f310,plain,
( spl0_7
<=> e21 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1053,plain,
( ~ spl0_4
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1052]) ).
fof(f1052,plain,
( $false
| ~ spl0_4
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1051,f98]) ).
fof(f98,plain,
e22 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f1051,plain,
( e22 = e24
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1050,f148]) ).
fof(f148,plain,
e22 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f1050,plain,
( e24 = op2(e24,e23)
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1034,f240]) ).
fof(f1034,plain,
( e24 = op2(e24,h(e10))
| ~ spl0_10 ),
inference(superposition,[],[f180,f324]) ).
fof(f324,plain,
( e24 = h(e11)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f322,plain,
( spl0_10
<=> e24 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1049,plain,
( ~ spl0_4
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1048]) ).
fof(f1048,plain,
( $false
| ~ spl0_4
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1047,f96]) ).
fof(f96,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f1047,plain,
( e21 = e24
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1046,f144]) ).
fof(f144,plain,
e21 = op2(e23,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f1046,plain,
( e24 = op2(e23,e24)
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1033,f240]) ).
fof(f1033,plain,
( e24 = op2(h(e10),e24)
| ~ spl0_10 ),
inference(superposition,[],[f176,f324]) ).
fof(f1013,plain,
( ~ spl0_8
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f1012]) ).
fof(f1012,plain,
( $false
| ~ spl0_8
| spl0_11 ),
inference(subsumption_resolution,[],[f1011,f532]) ).
fof(f532,plain,
( e20 != h(e12)
| spl0_11 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f531,plain,
( spl0_11
<=> e20 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1011,plain,
( e20 = h(e12)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f988,f149]) ).
fof(f149,plain,
e20 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f988,plain,
( op2(e24,e24) = h(e12)
| ~ spl0_8 ),
inference(superposition,[],[f199,f428]) ).
fof(f428,plain,
( e24 = h(e14)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f414,f137]) ).
fof(f137,plain,
e24 = op2(e22,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f414,plain,
( op2(e22,e22) = h(e14)
| ~ spl0_8 ),
inference(superposition,[],[f181,f316]) ).
fof(f181,plain,
h(e14) = op2(h(e11),h(e11)),
inference(forward_demodulation,[],[f26,f156]) ).
fof(f156,plain,
e14 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f26,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f199,plain,
h(e12) = op2(h(e14),h(e14)),
inference(forward_demodulation,[],[f44,f174]) ).
fof(f174,plain,
e12 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f44,plain,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f1010,plain,
( ~ spl0_8
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f1009]) ).
fof(f1009,plain,
( $false
| ~ spl0_8
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f1008,f93]) ).
fof(f93,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f1008,plain,
( e20 = e24
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f1007,f149]) ).
fof(f1007,plain,
( e24 = op2(e24,e24)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f988,f549]) ).
fof(f549,plain,
( e24 = h(e12)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f547,plain,
( spl0_15
<=> e24 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1005,plain,
( ~ spl0_8
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f1004]) ).
fof(f1004,plain,
( $false
| ~ spl0_8
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f1003,f91]) ).
fof(f1003,plain,
( e20 = e22
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f1002,f149]) ).
fof(f1002,plain,
( e22 = op2(e24,e24)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f1001,f316]) ).
fof(f1001,plain,
( op2(e24,e24) = h(e11)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f986,f549]) ).
fof(f986,plain,
( h(e11) = op2(e24,h(e12))
| ~ spl0_8 ),
inference(superposition,[],[f197,f428]) ).
fof(f197,plain,
h(e11) = op2(h(e14),h(e12)),
inference(forward_demodulation,[],[f42,f172]) ).
fof(f172,plain,
e11 = op1(e14,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f42,plain,
h(op1(e14,e12)) = op2(h(e14),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f996,plain,
( ~ spl0_8
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f995]) ).
fof(f995,plain,
( $false
| ~ spl0_8
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f994,f91]) ).
fof(f994,plain,
( e20 = e22
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f993,f149]) ).
fof(f993,plain,
( e22 = op2(e24,e24)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f992,f316]) ).
fof(f992,plain,
( op2(e24,e24) = h(e11)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f982,f549]) ).
fof(f982,plain,
( h(e11) = op2(h(e12),e24)
| ~ spl0_8 ),
inference(superposition,[],[f189,f428]) ).
fof(f189,plain,
h(e11) = op2(h(e12),h(e14)),
inference(forward_demodulation,[],[f34,f164]) ).
fof(f164,plain,
e11 = op1(e12,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f34,plain,
h(op1(e12,e14)) = op2(h(e12),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f938,plain,
( ~ spl0_10
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f937]) ).
fof(f937,plain,
( $false
| ~ spl0_10
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f936,f93]) ).
fof(f936,plain,
( e20 = e24
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f935,f125]) ).
fof(f125,plain,
e20 = op2(e20,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f935,plain,
( e24 = op2(e20,e20)
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f919,f549]) ).
fof(f919,plain,
( op2(e20,e20) = h(e12)
| ~ spl0_10 ),
inference(superposition,[],[f199,f477]) ).
fof(f477,plain,
( e20 = h(e14)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f458,f149]) ).
fof(f458,plain,
( op2(e24,e24) = h(e14)
| ~ spl0_10 ),
inference(superposition,[],[f181,f324]) ).
fof(f922,plain,
( ~ spl0_1
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f921]) ).
fof(f921,plain,
( $false
| ~ spl0_1
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f920,f83]) ).
fof(f83,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f920,plain,
( e10 = e14
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f910,f695]) ).
fof(f695,plain,
( e10 = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f75,f228]) ).
fof(f228,plain,
( e20 = h(e10)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl0_1
<=> e20 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f75,plain,
e10 = j(h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f910,plain,
( e14 = j(e20)
| ~ spl0_10 ),
inference(superposition,[],[f79,f477]) ).
fof(f79,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f852,plain,
( ~ spl0_7
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f851]) ).
fof(f851,plain,
( $false
| ~ spl0_7
| spl0_11 ),
inference(subsumption_resolution,[],[f850,f532]) ).
fof(f850,plain,
( e20 = h(e12)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f833,f149]) ).
fof(f833,plain,
( op2(e24,e24) = h(e12)
| ~ spl0_7 ),
inference(superposition,[],[f199,f408]) ).
fof(f408,plain,
( e24 = h(e14)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f395,f131]) ).
fof(f131,plain,
e24 = op2(e21,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f395,plain,
( op2(e21,e21) = h(e14)
| ~ spl0_7 ),
inference(superposition,[],[f181,f312]) ).
fof(f849,plain,
( ~ spl0_7
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f848]) ).
fof(f848,plain,
( $false
| ~ spl0_7
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f847,f91]) ).
fof(f847,plain,
( e20 = e22
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f846,f149]) ).
fof(f846,plain,
( e22 = op2(e24,e24)
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_demodulation,[],[f833,f541]) ).
fof(f541,plain,
( e22 = h(e12)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f539,plain,
( spl0_13
<=> e22 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f766,plain,
( ~ spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f765]) ).
fof(f765,plain,
( $false
| ~ spl0_9
| spl0_11 ),
inference(global_subsumption,[],[f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f10,f11,f436,f437,f439,f440,f320,f511,f526,f516,f517,f519,f520,f12,f431,f644,f645,f646,f647,f648,f649,f653,f651,f652,f452,f654,f669,f681,f662,f659,f658,f655,f518,f515,f513,f512,f692,f693,f694,f532]) ).
fof(f694,plain,
( e23 = op2(h(e12),e24)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f657,f320]) ).
fof(f657,plain,
( h(e11) = op2(h(e12),e24)
| ~ spl0_9 ),
inference(superposition,[],[f189,f452]) ).
fof(f693,plain,
( e23 = op2(e24,h(e12))
| ~ spl0_9 ),
inference(forward_demodulation,[],[f661,f320]) ).
fof(f661,plain,
( h(e11) = op2(e24,h(e12))
| ~ spl0_9 ),
inference(superposition,[],[f197,f452]) ).
fof(f692,plain,
( e20 = h(e12)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f663,f149]) ).
fof(f663,plain,
( op2(e24,e24) = h(e12)
| ~ spl0_9 ),
inference(superposition,[],[f199,f452]) ).
fof(f512,plain,
( e23 = op2(h(e10),e23)
| ~ spl0_9 ),
inference(superposition,[],[f176,f320]) ).
fof(f513,plain,
( e23 = op2(e23,h(e10))
| ~ spl0_9 ),
inference(superposition,[],[f180,f320]) ).
fof(f515,plain,
( h(e10) = op2(e23,h(e12))
| ~ spl0_9 ),
inference(superposition,[],[f182,f320]) ).
fof(f518,plain,
( h(e10) = op2(h(e12),e23)
| ~ spl0_9 ),
inference(superposition,[],[f186,f320]) ).
fof(f655,plain,
( e24 = op2(h(e10),e24)
| ~ spl0_9 ),
inference(superposition,[],[f179,f452]) ).
fof(f658,plain,
( h(e10) = op2(h(e13),e24)
| ~ spl0_9 ),
inference(superposition,[],[f194,f452]) ).
fof(f659,plain,
( e24 = op2(e24,h(e10))
| ~ spl0_9 ),
inference(superposition,[],[f195,f452]) ).
fof(f662,plain,
( h(e10) = op2(e24,h(e13))
| ~ spl0_9 ),
inference(superposition,[],[f198,f452]) ).
fof(f681,plain,
( e22 = h(e13)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f680,f148]) ).
fof(f680,plain,
( op2(e24,e23) = h(e13)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f660,f320]) ).
fof(f660,plain,
( h(e13) = op2(e24,h(e11))
| ~ spl0_9 ),
inference(superposition,[],[f196,f452]) ).
fof(f669,plain,
( e21 = h(e13)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f668,f144]) ).
fof(f668,plain,
( op2(e23,e24) = h(e13)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f656,f320]) ).
fof(f656,plain,
( h(e13) = op2(h(e11),e24)
| ~ spl0_9 ),
inference(superposition,[],[f184,f452]) ).
fof(f654,plain,
( e14 = j(e24)
| ~ spl0_9 ),
inference(superposition,[],[f79,f452]) ).
fof(f452,plain,
( e24 = h(e14)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f434,f143]) ).
fof(f434,plain,
( op2(e23,e23) = h(e14)
| ~ spl0_9 ),
inference(superposition,[],[f181,f320]) ).
fof(f652,plain,
( j(e22) = op1(j(e24),e11)
| ~ spl0_9 ),
inference(superposition,[],[f223,f431]) ).
fof(f651,plain,
( j(e21) = op1(e11,j(e24))
| ~ spl0_9 ),
inference(superposition,[],[f219,f431]) ).
fof(f653,plain,
( e14 = j(e24)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f650,f156]) ).
fof(f650,plain,
( op1(e11,e11) = j(e24)
| ~ spl0_9 ),
inference(superposition,[],[f218,f431]) ).
fof(f649,plain,
( j(e20) = op1(e11,j(e22))
| ~ spl0_9 ),
inference(superposition,[],[f217,f431]) ).
fof(f648,plain,
( j(e22) = op1(e11,j(e21))
| ~ spl0_9 ),
inference(superposition,[],[f216,f431]) ).
fof(f647,plain,
( e11 = op1(e11,j(e20))
| ~ spl0_9 ),
inference(superposition,[],[f215,f431]) ).
fof(f646,plain,
( j(e21) = op1(j(e22),e11)
| ~ spl0_9 ),
inference(superposition,[],[f213,f431]) ).
fof(f645,plain,
( j(e20) = op1(j(e21),e11)
| ~ spl0_9 ),
inference(superposition,[],[f208,f431]) ).
fof(f644,plain,
( e11 = op1(j(e20),e11)
| ~ spl0_9 ),
inference(superposition,[],[f203,f431]) ).
fof(f431,plain,
( e11 = j(e23)
| ~ spl0_9 ),
inference(superposition,[],[f76,f320]) ).
fof(f12,plain,
( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) ),
inference(cnf_transformation,[],[f9]) ).
fof(f520,plain,
( h(e13) = op2(h(e14),e23)
| ~ spl0_9 ),
inference(superposition,[],[f196,f320]) ).
fof(f519,plain,
( h(e12) = op2(h(e13),e23)
| ~ spl0_9 ),
inference(superposition,[],[f191,f320]) ).
fof(f517,plain,
( h(e13) = op2(e23,h(e14))
| ~ spl0_9 ),
inference(superposition,[],[f184,f320]) ).
fof(f516,plain,
( h(e12) = op2(e23,h(e13))
| ~ spl0_9 ),
inference(superposition,[],[f183,f320]) ).
fof(f526,plain,
( e24 = h(e14)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f514,f143]) ).
fof(f514,plain,
( op2(e23,e23) = h(e14)
| ~ spl0_9 ),
inference(superposition,[],[f181,f320]) ).
fof(f511,plain,
( e11 = j(e23)
| ~ spl0_9 ),
inference(superposition,[],[f76,f320]) ).
fof(f320,plain,
( e23 = h(e11)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f318,plain,
( spl0_9
<=> e23 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f440,plain,
( h(e13) = op2(h(e14),e23)
| ~ spl0_9 ),
inference(superposition,[],[f196,f320]) ).
fof(f439,plain,
( h(e12) = op2(h(e13),e23)
| ~ spl0_9 ),
inference(superposition,[],[f191,f320]) ).
fof(f437,plain,
( h(e13) = op2(e23,h(e14))
| ~ spl0_9 ),
inference(superposition,[],[f184,f320]) ).
fof(f436,plain,
( h(e12) = op2(e23,h(e13))
| ~ spl0_9 ),
inference(superposition,[],[f183,f320]) ).
fof(f11,plain,
( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f10,plain,
( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ),
inference(cnf_transformation,[],[f9]) ).
fof(f224,plain,
j(e20) = op1(j(e24),j(e24)),
inference(forward_demodulation,[],[f69,f149]) ).
fof(f223,plain,
j(e22) = op1(j(e24),j(e23)),
inference(forward_demodulation,[],[f68,f148]) ).
fof(f222,plain,
j(e21) = op1(j(e24),j(e22)),
inference(forward_demodulation,[],[f67,f147]) ).
fof(f221,plain,
j(e23) = op1(j(e24),j(e21)),
inference(forward_demodulation,[],[f66,f146]) ).
fof(f220,plain,
j(e24) = op1(j(e24),j(e20)),
inference(forward_demodulation,[],[f65,f145]) ).
fof(f219,plain,
j(e21) = op1(j(e23),j(e24)),
inference(forward_demodulation,[],[f64,f144]) ).
fof(f218,plain,
j(e24) = op1(j(e23),j(e23)),
inference(forward_demodulation,[],[f63,f143]) ).
fof(f217,plain,
j(e20) = op1(j(e23),j(e22)),
inference(forward_demodulation,[],[f62,f142]) ).
fof(f216,plain,
j(e22) = op1(j(e23),j(e21)),
inference(forward_demodulation,[],[f61,f141]) ).
fof(f215,plain,
j(e23) = op1(j(e23),j(e20)),
inference(forward_demodulation,[],[f60,f140]) ).
fof(f214,plain,
j(e23) = op1(j(e22),j(e24)),
inference(forward_demodulation,[],[f59,f139]) ).
fof(f213,plain,
j(e21) = op1(j(e22),j(e23)),
inference(forward_demodulation,[],[f58,f138]) ).
fof(f212,plain,
j(e24) = op1(j(e22),j(e22)),
inference(forward_demodulation,[],[f57,f137]) ).
fof(f211,plain,
j(e20) = op1(j(e22),j(e21)),
inference(forward_demodulation,[],[f56,f136]) ).
fof(f210,plain,
j(e22) = op1(j(e22),j(e20)),
inference(forward_demodulation,[],[f55,f135]) ).
fof(f209,plain,
j(e22) = op1(j(e21),j(e24)),
inference(forward_demodulation,[],[f54,f134]) ).
fof(f208,plain,
j(e20) = op1(j(e21),j(e23)),
inference(forward_demodulation,[],[f53,f133]) ).
fof(f207,plain,
j(e23) = op1(j(e21),j(e22)),
inference(forward_demodulation,[],[f52,f132]) ).
fof(f206,plain,
j(e24) = op1(j(e21),j(e21)),
inference(forward_demodulation,[],[f51,f131]) ).
fof(f205,plain,
j(e21) = op1(j(e21),j(e20)),
inference(forward_demodulation,[],[f50,f130]) ).
fof(f204,plain,
j(e24) = op1(j(e20),j(e24)),
inference(forward_demodulation,[],[f49,f129]) ).
fof(f203,plain,
j(e23) = op1(j(e20),j(e23)),
inference(forward_demodulation,[],[f48,f128]) ).
fof(f202,plain,
j(e22) = op1(j(e20),j(e22)),
inference(forward_demodulation,[],[f47,f127]) ).
fof(f201,plain,
j(e21) = op1(j(e20),j(e21)),
inference(forward_demodulation,[],[f46,f126]) ).
fof(f200,plain,
j(e20) = op1(j(e20),j(e20)),
inference(forward_demodulation,[],[f45,f125]) ).
fof(f198,plain,
h(e10) = op2(h(e14),h(e13)),
inference(forward_demodulation,[],[f43,f173]) ).
fof(f196,plain,
h(e13) = op2(h(e14),h(e11)),
inference(forward_demodulation,[],[f41,f171]) ).
fof(f195,plain,
h(e14) = op2(h(e14),h(e10)),
inference(forward_demodulation,[],[f40,f170]) ).
fof(f194,plain,
h(e10) = op2(h(e13),h(e14)),
inference(forward_demodulation,[],[f39,f169]) ).
fof(f193,plain,
h(e11) = op2(h(e13),h(e13)),
inference(forward_demodulation,[],[f38,f168]) ).
fof(f192,plain,
h(e14) = op2(h(e13),h(e12)),
inference(forward_demodulation,[],[f37,f167]) ).
fof(f191,plain,
h(e12) = op2(h(e13),h(e11)),
inference(forward_demodulation,[],[f36,f166]) ).
fof(f190,plain,
h(e13) = op2(h(e13),h(e10)),
inference(forward_demodulation,[],[f35,f165]) ).
fof(f188,plain,
h(e14) = op2(h(e12),h(e13)),
inference(forward_demodulation,[],[f33,f163]) ).
fof(f187,plain,
h(e13) = op2(h(e12),h(e12)),
inference(forward_demodulation,[],[f32,f162]) ).
fof(f186,plain,
h(e10) = op2(h(e12),h(e11)),
inference(forward_demodulation,[],[f31,f161]) ).
fof(f185,plain,
h(e12) = op2(h(e12),h(e10)),
inference(forward_demodulation,[],[f30,f160]) ).
fof(f184,plain,
h(e13) = op2(h(e11),h(e14)),
inference(forward_demodulation,[],[f29,f159]) ).
fof(f183,plain,
h(e12) = op2(h(e11),h(e13)),
inference(forward_demodulation,[],[f28,f158]) ).
fof(f182,plain,
h(e10) = op2(h(e11),h(e12)),
inference(forward_demodulation,[],[f27,f157]) ).
fof(f179,plain,
h(e14) = op2(h(e10),h(e14)),
inference(forward_demodulation,[],[f24,f154]) ).
fof(f178,plain,
h(e13) = op2(h(e10),h(e13)),
inference(forward_demodulation,[],[f23,f153]) ).
fof(f177,plain,
h(e12) = op2(h(e10),h(e12)),
inference(forward_demodulation,[],[f22,f152]) ).
fof(f175,plain,
h(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[],[f20,f150]) ).
fof(f173,plain,
e10 = op1(e14,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f171,plain,
e13 = op1(e14,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f170,plain,
e14 = op1(e14,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f169,plain,
e10 = op1(e13,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f168,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f167,plain,
e14 = op1(e13,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f166,plain,
e12 = op1(e13,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f165,plain,
e13 = op1(e13,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f163,plain,
e14 = op1(e12,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f162,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f161,plain,
e10 = op1(e12,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f160,plain,
e12 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f159,plain,
e13 = op1(e11,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f158,plain,
e12 = op1(e11,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f157,plain,
e10 = op1(e11,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f154,plain,
e14 = op1(e10,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f153,plain,
e13 = op1(e10,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f152,plain,
e12 = op1(e10,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f150,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f147,plain,
e21 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f146,plain,
e23 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f145,plain,
e24 = op2(e24,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f143,plain,
e24 = op2(e23,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f141,plain,
e22 = op2(e23,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f140,plain,
e23 = op2(e23,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f139,plain,
e23 = op2(e22,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f136,plain,
e20 = op2(e22,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f135,plain,
e22 = op2(e22,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f134,plain,
e22 = op2(e21,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f132,plain,
e23 = op2(e21,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f130,plain,
e21 = op2(e21,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f129,plain,
e24 = op2(e20,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f128,plain,
e23 = op2(e20,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f127,plain,
e22 = op2(e20,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f126,plain,
e21 = op2(e20,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f78,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f77,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f76,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f74,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f73,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f72,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f71,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f70,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f124,plain,
e14 != e24,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( e14 != e24
& e14 != e23
& e14 != e22
& e14 != e21
& e14 != e20
& e13 != e24
& e13 != e23
& e13 != e22
& e13 != e21
& e13 != e20
& e12 != e24
& e12 != e23
& e12 != e22
& e12 != e21
& e12 != e20
& e11 != e24
& e11 != e23
& e11 != e22
& e11 != e21
& e11 != e20
& e10 != e24
& e10 != e23
& e10 != e22
& e10 != e21
& e10 != e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f123,plain,
e14 != e23,
inference(cnf_transformation,[],[f3]) ).
fof(f122,plain,
e14 != e22,
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
e14 != e21,
inference(cnf_transformation,[],[f3]) ).
fof(f120,plain,
e14 != e20,
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
e13 != e24,
inference(cnf_transformation,[],[f3]) ).
fof(f118,plain,
e13 != e23,
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
e13 != e22,
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
e13 != e21,
inference(cnf_transformation,[],[f3]) ).
fof(f115,plain,
e13 != e20,
inference(cnf_transformation,[],[f3]) ).
fof(f114,plain,
e12 != e24,
inference(cnf_transformation,[],[f3]) ).
fof(f113,plain,
e12 != e23,
inference(cnf_transformation,[],[f3]) ).
fof(f112,plain,
e12 != e22,
inference(cnf_transformation,[],[f3]) ).
fof(f111,plain,
e12 != e21,
inference(cnf_transformation,[],[f3]) ).
fof(f110,plain,
e12 != e20,
inference(cnf_transformation,[],[f3]) ).
fof(f109,plain,
e11 != e24,
inference(cnf_transformation,[],[f3]) ).
fof(f108,plain,
e11 != e23,
inference(cnf_transformation,[],[f3]) ).
fof(f107,plain,
e11 != e22,
inference(cnf_transformation,[],[f3]) ).
fof(f106,plain,
e11 != e21,
inference(cnf_transformation,[],[f3]) ).
fof(f105,plain,
e11 != e20,
inference(cnf_transformation,[],[f3]) ).
fof(f104,plain,
e10 != e24,
inference(cnf_transformation,[],[f3]) ).
fof(f103,plain,
e10 != e23,
inference(cnf_transformation,[],[f3]) ).
fof(f102,plain,
e10 != e22,
inference(cnf_transformation,[],[f3]) ).
fof(f101,plain,
e10 != e21,
inference(cnf_transformation,[],[f3]) ).
fof(f100,plain,
e10 != e20,
inference(cnf_transformation,[],[f3]) ).
fof(f99,plain,
e23 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f97,plain,
e22 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f95,plain,
e21 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
e20 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f89,plain,
e13 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f88,plain,
e12 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f87,plain,
e12 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f86,plain,
e11 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f85,plain,
e11 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f84,plain,
e11 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f82,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f81,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f80,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f14,plain,
( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) ),
inference(cnf_transformation,[],[f9]) ).
fof(f18,plain,
( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) ),
inference(cnf_transformation,[],[f9]) ).
fof(f19,plain,
( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) ),
inference(cnf_transformation,[],[f9]) ).
fof(f20,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
h(op1(e10,e12)) = op2(h(e10),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
h(op1(e10,e13)) = op2(h(e10),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f24,plain,
h(op1(e10,e14)) = op2(h(e10),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
h(op1(e11,e12)) = op2(h(e11),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
h(op1(e11,e13)) = op2(h(e11),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f29,plain,
h(op1(e11,e14)) = op2(h(e11),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
h(op1(e12,e10)) = op2(h(e12),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
h(op1(e12,e11)) = op2(h(e12),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f32,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f33,plain,
h(op1(e12,e13)) = op2(h(e12),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f35,plain,
h(op1(e13,e10)) = op2(h(e13),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f36,plain,
h(op1(e13,e11)) = op2(h(e13),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f37,plain,
h(op1(e13,e12)) = op2(h(e13),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f38,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f39,plain,
h(op1(e13,e14)) = op2(h(e13),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f40,plain,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f41,plain,
h(op1(e14,e11)) = op2(h(e14),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f43,plain,
h(op1(e14,e13)) = op2(h(e14),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f45,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f46,plain,
j(op2(e20,e21)) = op1(j(e20),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f47,plain,
j(op2(e20,e22)) = op1(j(e20),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f48,plain,
j(op2(e20,e23)) = op1(j(e20),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f49,plain,
j(op2(e20,e24)) = op1(j(e20),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f50,plain,
j(op2(e21,e20)) = op1(j(e21),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f51,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f52,plain,
j(op2(e21,e22)) = op1(j(e21),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f53,plain,
j(op2(e21,e23)) = op1(j(e21),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f54,plain,
j(op2(e21,e24)) = op1(j(e21),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f55,plain,
j(op2(e22,e20)) = op1(j(e22),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f56,plain,
j(op2(e22,e21)) = op1(j(e22),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f57,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f58,plain,
j(op2(e22,e23)) = op1(j(e22),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f59,plain,
j(op2(e22,e24)) = op1(j(e22),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f60,plain,
j(op2(e23,e20)) = op1(j(e23),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f61,plain,
j(op2(e23,e21)) = op1(j(e23),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f62,plain,
j(op2(e23,e22)) = op1(j(e23),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f63,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f64,plain,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f65,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f66,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f67,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f68,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f69,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f764,plain,
( ~ spl0_9
| spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f763]) ).
fof(f763,plain,
( $false
| ~ spl0_9
| spl0_11
| ~ spl0_13 ),
inference(global_subsumption,[],[f541,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f10,f11,f436,f437,f439,f440,f320,f511,f526,f516,f517,f519,f520,f12,f532,f431,f644,f645,f646,f647,f648,f649,f653,f651,f652,f452,f654,f669,f681,f662,f659,f658,f655,f518,f515,f513,f512,f692,f693,f694]) ).
fof(f762,plain,
( ~ spl0_9
| spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f761]) ).
fof(f761,plain,
( $false
| ~ spl0_9
| spl0_11
| ~ spl0_13 ),
inference(global_subsumption,[],[f586,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f10,f11,f436,f437,f439,f440,f320,f511,f526,f516,f517,f519,f520,f12,f532,f431,f644,f645,f646,f647,f648,f649,f653,f651,f652,f452,f654,f669,f681,f662,f659,f658,f655,f518,f515,f513,f512,f692,f693,f694]) ).
fof(f586,plain,
( e12 = j(e22)
| ~ spl0_13 ),
inference(superposition,[],[f77,f541]) ).
fof(f760,plain,
( ~ spl0_9
| spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f759]) ).
fof(f759,plain,
( $false
| ~ spl0_9
| spl0_11
| ~ spl0_13 ),
inference(global_subsumption,[],[f617,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f10,f11,f436,f437,f439,f440,f320,f511,f526,f516,f517,f519,f520,f12,f532,f431,f644,f645,f646,f647,f648,f649,f653,f651,f652,f452,f654,f669,f681,f662,f659,f658,f655,f518,f515,f513,f512,f692,f693,f694]) ).
fof(f617,plain,
( e24 = h(e13)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f591,f137]) ).
fof(f591,plain,
( op2(e22,e22) = h(e13)
| ~ spl0_13 ),
inference(superposition,[],[f187,f541]) ).
fof(f758,plain,
( ~ spl0_9
| spl0_11
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f757]) ).
fof(f757,plain,
( $false
| ~ spl0_9
| spl0_11
| spl0_14 ),
inference(global_subsumption,[],[f544,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f10,f11,f436,f437,f439,f440,f320,f511,f526,f516,f517,f519,f520,f12,f532,f431,f644,f645,f646,f647,f648,f649,f653,f651,f652,f452,f654,f669,f681,f662,f659,f658,f655,f518,f515,f513,f512,f692,f693,f694]) ).
fof(f544,plain,
( e23 != h(e12)
| spl0_14 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f543,plain,
( spl0_14
<=> e23 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f756,plain,
( ~ spl0_9
| spl0_11
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f755]) ).
fof(f755,plain,
( $false
| ~ spl0_9
| spl0_11
| spl0_15 ),
inference(global_subsumption,[],[f548,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f10,f11,f436,f437,f439,f440,f320,f511,f526,f516,f517,f519,f520,f12,f532,f431,f644,f645,f646,f647,f648,f649,f653,f651,f652,f452,f654,f669,f681,f662,f659,f658,f655,f518,f515,f513,f512,f692,f693,f694]) ).
fof(f548,plain,
( e24 != h(e12)
| spl0_15 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f754,plain,
( ~ spl0_1
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f753]) ).
fof(f753,plain,
( $false
| ~ spl0_1
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f752,f81]) ).
fof(f752,plain,
( e10 = e12
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[],[f713,f695]) ).
fof(f713,plain,
( e12 = j(e20)
| ~ spl0_11 ),
inference(superposition,[],[f77,f533]) ).
fof(f533,plain,
( e20 = h(e12)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f691,plain,
( ~ spl0_9
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f690,plain,
( $false
| ~ spl0_9
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f689,f92]) ).
fof(f689,plain,
( e20 = e23
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f688,f149]) ).
fof(f688,plain,
( e23 = op2(e24,e24)
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f663,f545]) ).
fof(f545,plain,
( e23 = h(e12)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f686,plain,
( ~ spl0_9
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f685,plain,
( $false
| ~ spl0_9
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f684,f97]) ).
fof(f684,plain,
( e22 = e23
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f683,f148]) ).
fof(f683,plain,
( e23 = op2(e24,e23)
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f682,f320]) ).
fof(f682,plain,
( op2(e24,e23) = h(e11)
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f661,f545]) ).
fof(f679,plain,
( ~ spl0_4
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f678,plain,
( $false
| ~ spl0_4
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f677,f98]) ).
fof(f677,plain,
( e22 = e24
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f676,f148]) ).
fof(f676,plain,
( e24 = op2(e24,e23)
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f659,f240]) ).
fof(f674,plain,
( ~ spl0_9
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f673]) ).
fof(f673,plain,
( $false
| ~ spl0_9
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f672,f95]) ).
fof(f672,plain,
( e21 = e23
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f671,f144]) ).
fof(f671,plain,
( e23 = op2(e23,e24)
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f670,f320]) ).
fof(f670,plain,
( op2(e23,e24) = h(e11)
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f657,f545]) ).
fof(f667,plain,
( ~ spl0_4
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f666]) ).
fof(f666,plain,
( $false
| ~ spl0_4
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f665,f96]) ).
fof(f665,plain,
( e21 = e24
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f664,f144]) ).
fof(f664,plain,
( e24 = op2(e23,e24)
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f655,f240]) ).
fof(f616,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f615]) ).
fof(f615,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f614,f95]) ).
fof(f614,plain,
( e21 = e23
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f613,f138]) ).
fof(f613,plain,
( e23 = op2(e22,e23)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f612,f240]) ).
fof(f612,plain,
( op2(e22,e23) = h(e10)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f590,f320]) ).
fof(f590,plain,
( h(e10) = op2(e22,h(e11))
| ~ spl0_13 ),
inference(superposition,[],[f186,f541]) ).
fof(f611,plain,
( ~ spl0_4
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f610]) ).
fof(f610,plain,
( $false
| ~ spl0_4
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f609,f94]) ).
fof(f609,plain,
( e21 = e22
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f608,f138]) ).
fof(f608,plain,
( e22 = op2(e22,e23)
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f589,f240]) ).
fof(f589,plain,
( e22 = op2(e22,h(e10))
| ~ spl0_13 ),
inference(superposition,[],[f185,f541]) ).
fof(f607,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f606]) ).
fof(f606,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f605,f92]) ).
fof(f605,plain,
( e20 = e23
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f604,f142]) ).
fof(f604,plain,
( e23 = op2(e23,e22)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f603,f240]) ).
fof(f603,plain,
( op2(e23,e22) = h(e10)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f588,f320]) ).
fof(f588,plain,
( h(e10) = op2(h(e11),e22)
| ~ spl0_13 ),
inference(superposition,[],[f182,f541]) ).
fof(f602,plain,
( ~ spl0_4
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f601]) ).
fof(f601,plain,
( $false
| ~ spl0_4
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f600,f91]) ).
fof(f600,plain,
( e20 = e22
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f599,f142]) ).
fof(f599,plain,
( e22 = op2(e23,e22)
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f587,f240]) ).
fof(f587,plain,
( e22 = op2(h(e10),e22)
| ~ spl0_13 ),
inference(superposition,[],[f177,f541]) ).
fof(f582,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f581,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f580,f97]) ).
fof(f580,plain,
( e22 = e23
| ~ spl0_4
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f579,f148]) ).
fof(f579,plain,
( e23 = op2(e24,e23)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f578,f240]) ).
fof(f578,plain,
( op2(e24,e23) = h(e10)
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f555,f320]) ).
fof(f555,plain,
( h(e10) = op2(e24,h(e11))
| ~ spl0_15 ),
inference(superposition,[],[f186,f549]) ).
fof(f577,plain,
( ~ spl0_4
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f576]) ).
fof(f576,plain,
( $false
| ~ spl0_4
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f575,f98]) ).
fof(f575,plain,
( e22 = e24
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[],[f574,f148]) ).
fof(f574,plain,
( e24 = op2(e24,e23)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[],[f554,f240]) ).
fof(f554,plain,
( e24 = op2(e24,h(e10))
| ~ spl0_15 ),
inference(superposition,[],[f185,f549]) ).
fof(f573,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f572]) ).
fof(f572,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f571,f95]) ).
fof(f571,plain,
( e21 = e23
| ~ spl0_4
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f570,f144]) ).
fof(f570,plain,
( e23 = op2(e23,e24)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f569,f240]) ).
fof(f569,plain,
( op2(e23,e24) = h(e10)
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f553,f320]) ).
fof(f553,plain,
( h(e10) = op2(h(e11),e24)
| ~ spl0_15 ),
inference(superposition,[],[f182,f549]) ).
fof(f568,plain,
( ~ spl0_4
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f567]) ).
fof(f567,plain,
( $false
| ~ spl0_4
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f566,f96]) ).
fof(f566,plain,
( e21 = e24
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[],[f565,f144]) ).
fof(f565,plain,
( e24 = op2(e23,e24)
| ~ spl0_4
| ~ spl0_15 ),
inference(forward_demodulation,[],[f552,f240]) ).
fof(f552,plain,
( e24 = op2(h(e10),e24)
| ~ spl0_15 ),
inference(superposition,[],[f177,f549]) ).
fof(f550,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f12,f547,f543,f539,f535,f531]) ).
fof(f535,plain,
( spl0_12
<=> e21 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f496,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f495,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f494,f93]) ).
fof(f494,plain,
( e20 = e24
| ~ spl0_5 ),
inference(forward_demodulation,[],[f481,f149]) ).
fof(f481,plain,
( e24 = op2(e24,e24)
| ~ spl0_5 ),
inference(superposition,[],[f175,f244]) ).
fof(f244,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f242,plain,
( spl0_5
<=> e24 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f476,plain,
( ~ spl0_3
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f475,plain,
( $false
| ~ spl0_3
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f474,f96]) ).
fof(f474,plain,
( e21 = e24
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f473,f147]) ).
fof(f473,plain,
( e24 = op2(e24,e22)
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f457,f236]) ).
fof(f236,plain,
( e22 = h(e10)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl0_3
<=> e22 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f457,plain,
( e24 = op2(e24,h(e10))
| ~ spl0_10 ),
inference(superposition,[],[f180,f324]) ).
fof(f472,plain,
( ~ spl0_3
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f471,plain,
( $false
| ~ spl0_3
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f470,f99]) ).
fof(f470,plain,
( e23 = e24
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f469,f139]) ).
fof(f469,plain,
( e24 = op2(e22,e24)
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f456,f236]) ).
fof(f456,plain,
( e24 = op2(h(e10),e24)
| ~ spl0_10 ),
inference(superposition,[],[f176,f324]) ).
fof(f451,plain,
( ~ spl0_3
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f450]) ).
fof(f450,plain,
( $false
| ~ spl0_3
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f449,f92]) ).
fof(f449,plain,
( e20 = e23
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f448,f142]) ).
fof(f448,plain,
( e23 = op2(e23,e22)
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f433,f236]) ).
fof(f433,plain,
( e23 = op2(e23,h(e10))
| ~ spl0_9 ),
inference(superposition,[],[f180,f320]) ).
fof(f447,plain,
( ~ spl0_3
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f446]) ).
fof(f446,plain,
( $false
| ~ spl0_3
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f445,f95]) ).
fof(f445,plain,
( e21 = e23
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f444,f138]) ).
fof(f444,plain,
( e23 = op2(e22,e23)
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f432,f236]) ).
fof(f432,plain,
( e23 = op2(h(e10),e23)
| ~ spl0_9 ),
inference(superposition,[],[f176,f320]) ).
fof(f425,plain,
( ~ spl0_3
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f424]) ).
fof(f424,plain,
( $false
| ~ spl0_3
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f423,f80]) ).
fof(f423,plain,
( e10 = e11
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f411,f291]) ).
fof(f291,plain,
( e10 = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f75,f236]) ).
fof(f411,plain,
( e11 = j(e22)
| ~ spl0_8 ),
inference(superposition,[],[f76,f316]) ).
fof(f406,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f405,plain,
( $false
| ~ spl0_3
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f404,f90]) ).
fof(f404,plain,
( e20 = e21
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f403,f136]) ).
fof(f403,plain,
( e21 = op2(e22,e21)
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f393,f236]) ).
fof(f393,plain,
( e21 = op2(h(e10),e21)
| ~ spl0_7 ),
inference(superposition,[],[f176,f312]) ).
fof(f380,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f379,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f378,f86]) ).
fof(f378,plain,
( e11 = e14
| ~ spl0_6 ),
inference(forward_demodulation,[],[f368,f326]) ).
fof(f326,plain,
( e11 = j(e20)
| ~ spl0_6 ),
inference(superposition,[],[f76,f308]) ).
fof(f308,plain,
( e20 = h(e11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl0_6
<=> e20 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f368,plain,
( e14 = j(e20)
| ~ spl0_6 ),
inference(superposition,[],[f79,f338]) ).
fof(f338,plain,
( e20 = h(e14)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f329,f125]) ).
fof(f329,plain,
( op2(e20,e20) = h(e14)
| ~ spl0_6 ),
inference(superposition,[],[f181,f308]) ).
fof(f325,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f322,f318,f314,f310,f306]) ).
fof(f283,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f282,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f281,f96]) ).
fof(f281,plain,
( e21 = e24
| ~ spl0_2 ),
inference(forward_demodulation,[],[f271,f232]) ).
fof(f232,plain,
( e21 = h(e10)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f230,plain,
( spl0_2
<=> e21 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f271,plain,
( e24 = h(e10)
| ~ spl0_2 ),
inference(superposition,[],[f74,f270]) ).
fof(f270,plain,
( e10 = j(e24)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f263,f150]) ).
fof(f263,plain,
( op1(e10,e10) = j(e24)
| ~ spl0_2 ),
inference(superposition,[],[f206,f246]) ).
fof(f246,plain,
( e10 = j(e21)
| ~ spl0_2 ),
inference(superposition,[],[f75,f232]) ).
fof(f245,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f242,f238,f234,f230,f226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG082+1 : TPTP v8.1.2. Released v2.7.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.33 % Computer : n011.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Fri May 3 20:01:08 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % (32199)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (32202)WARNING: value z3 for option sas not known
% 0.14/0.36 % (32200)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (32201)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (32204)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)
% 0.14/0.36 % (32202)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)
% 0.14/0.36 % (32203)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (32206)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)
% 0.14/0.36 % (32205)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)
% 0.14/0.37 Detected minimum model sizes of [10]
% 0.14/0.37 Detected maximum model sizes of [max]
% 0.14/0.37 Detected minimum model sizes of [10]
% 0.14/0.37 Detected maximum model sizes of [max]
% 0.14/0.37 TRYING [10]
% 0.14/0.37 TRYING [10]
% 0.14/0.38 % (32202)First to succeed.
% 0.14/0.39 % (32202)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32199"
% 0.14/0.39 % (32202)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Theorem for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (32202)------------------------------
% 0.14/0.40 % (32202)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.40 % (32202)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (32202)Memory used [KB]: 1162
% 0.14/0.40 % (32202)Time elapsed: 0.032 s
% 0.14/0.40 % (32202)Instructions burned: 63 (million)
% 0.14/0.40 % (32199)Success in time 0.052 s
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