TSTP Solution File: ALG042+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG042+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 : n022.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 04:15:57 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 119 ( 26 unt; 0 def)
% Number of atoms : 556 ( 428 equ)
% Maximal formula atoms : 72 ( 4 avg)
% Number of connectives : 551 ( 114 ~; 197 |; 226 &)
% ( 12 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 51 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f641,plain,
$false,
inference(avatar_sat_refutation,[],[f166,f197,f235,f256,f292,f333,f383,f439,f454,f508,f559,f579,f640]) ).
fof(f640,plain,
( ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f639,plain,
( $false
| ~ spl0_8
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f638,f61]) ).
fof(f61,plain,
e11 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f638,plain,
( e11 = e12
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f605,f394]) ).
fof(f394,plain,
( e11 = j(e23)
| ~ spl0_8 ),
inference(superposition,[],[f55,f291]) ).
fof(f291,plain,
( e23 = h(e11)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl0_8
<=> e23 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f55,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& 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,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,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,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(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,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,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,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))
& ( e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& 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,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,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,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(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,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,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,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))
& ( e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,negated_conjecture,
~ ( ( ( e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) )
=> ~ ( e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& 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,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,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,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(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,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,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,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,
( ( ( e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) )
=> ~ ( e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& 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,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,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,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(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,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,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,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(f605,plain,
( e12 = j(e23)
| ~ spl0_12 ),
inference(superposition,[],[f56,f438]) ).
fof(f438,plain,
( e23 = h(e12)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f436,plain,
( spl0_12
<=> e23 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f56,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f579,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f578]) ).
fof(f578,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f577,f58]) ).
fof(f58,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f577,plain,
( e10 = e11
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f565,f257]) ).
fof(f257,plain,
( e10 = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f54,f153]) ).
fof(f153,plain,
( e20 = h(e10)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl0_1
<=> e20 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f54,plain,
e10 = j(h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f565,plain,
( e11 = j(e20)
| ~ spl0_5 ),
inference(superposition,[],[f55,f279]) ).
fof(f279,plain,
( e20 = h(e11)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl0_5
<=> e20 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f559,plain,
( ~ spl0_8
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f558]) ).
fof(f558,plain,
( $false
| ~ spl0_8
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f557,f58]) ).
fof(f557,plain,
( e10 = e11
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f556,f112]) ).
fof(f112,plain,
e10 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e10 = op1(e13,e13)
& e11 = op1(e13,e12)
& e12 = op1(e13,e11)
& e13 = op1(e13,e10)
& e11 = op1(e12,e13)
& e10 = op1(e12,e12)
& e13 = op1(e12,e11)
& e12 = op1(e12,e10)
& e12 = op1(e11,e13)
& e13 = op1(e11,e12)
& e10 = op1(e11,e11)
& e11 = op1(e11,e10)
& 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(f556,plain,
( e11 = op1(e12,e12)
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f547,f394]) ).
fof(f547,plain,
( op1(e12,e12) = j(e23)
| ~ spl0_11 ),
inference(superposition,[],[f144,f516]) ).
fof(f516,plain,
( e12 = j(e22)
| ~ spl0_11 ),
inference(superposition,[],[f56,f434]) ).
fof(f434,plain,
( e22 = h(e12)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f432,plain,
( spl0_11
<=> e22 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f144,plain,
j(e23) = op1(j(e22),j(e22)),
inference(forward_demodulation,[],[f44,f96]) ).
fof(f96,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e20 = op2(e23,e23)
& e21 = op2(e23,e22)
& e22 = op2(e23,e21)
& e23 = op2(e23,e20)
& e21 = op2(e22,e23)
& e23 = op2(e22,e22)
& e20 = op2(e22,e21)
& e22 = op2(e22,e20)
& e22 = op2(e21,e23)
& e20 = op2(e21,e22)
& e23 = op2(e21,e21)
& e21 = op2(e21,e20)
& 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(f44,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f508,plain,
( ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f507]) ).
fof(f507,plain,
( $false
| ~ spl0_8
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f506,f58]) ).
fof(f506,plain,
( e10 = e11
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f505,f112]) ).
fof(f505,plain,
( e11 = op1(e12,e12)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f495,f394]) ).
fof(f495,plain,
( op1(e12,e12) = j(e23)
| ~ spl0_10 ),
inference(superposition,[],[f139,f466]) ).
fof(f466,plain,
( e12 = j(e21)
| ~ spl0_10 ),
inference(superposition,[],[f56,f430]) ).
fof(f430,plain,
( e21 = h(e12)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f428,plain,
( spl0_10
<=> e21 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f139,plain,
j(e23) = op1(j(e21),j(e21)),
inference(forward_demodulation,[],[f39,f91]) ).
fof(f91,plain,
e23 = op2(e21,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f39,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f454,plain,
( ~ spl0_1
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f453,plain,
( $false
| ~ spl0_1
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f452,f59]) ).
fof(f59,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f452,plain,
( e10 = e12
| ~ spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[],[f440,f257]) ).
fof(f440,plain,
( e12 = j(e20)
| ~ spl0_9 ),
inference(superposition,[],[f56,f426]) ).
fof(f426,plain,
( e20 = h(e12)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f424,plain,
( spl0_9
<=> e20 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f439,plain,
( spl0_9
| spl0_10
| spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f12,f436,f432,f428,f424]) ).
fof(f12,plain,
( e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) ),
inference(cnf_transformation,[],[f9]) ).
fof(f383,plain,
( ~ spl0_1
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f382]) ).
fof(f382,plain,
( $false
| ~ spl0_1
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f381,f66]) ).
fof(f66,plain,
e20 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f381,plain,
( e20 = e23
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f373,f153]) ).
fof(f373,plain,
( e23 = h(e10)
| ~ spl0_7 ),
inference(superposition,[],[f53,f372]) ).
fof(f372,plain,
( e10 = j(e23)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f364,f107]) ).
fof(f107,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f364,plain,
( op1(e11,e11) = j(e23)
| ~ spl0_7 ),
inference(superposition,[],[f144,f343]) ).
fof(f343,plain,
( e11 = j(e22)
| ~ spl0_7 ),
inference(superposition,[],[f55,f287]) ).
fof(f287,plain,
( e22 = h(e11)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f285,plain,
( spl0_7
<=> e22 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f53,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f333,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f332,plain,
( $false
| ~ spl0_1
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f331,f66]) ).
fof(f331,plain,
( e20 = e23
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f323,f153]) ).
fof(f323,plain,
( e23 = h(e10)
| ~ spl0_6 ),
inference(superposition,[],[f53,f320]) ).
fof(f320,plain,
( e10 = j(e23)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f312,f107]) ).
fof(f312,plain,
( op1(e11,e11) = j(e23)
| ~ spl0_6 ),
inference(superposition,[],[f139,f293]) ).
fof(f293,plain,
( e11 = j(e21)
| ~ spl0_6 ),
inference(superposition,[],[f55,f283]) ).
fof(f283,plain,
( e21 = h(e11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl0_6
<=> e21 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f292,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f11,f289,f285,f281,f277]) ).
fof(f11,plain,
( e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f256,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f255]) ).
fof(f255,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f254,f66]) ).
fof(f254,plain,
( e20 = e23
| ~ spl0_4 ),
inference(forward_demodulation,[],[f244,f101]) ).
fof(f101,plain,
e20 = op2(e23,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f244,plain,
( e23 = op2(e23,e23)
| ~ spl0_4 ),
inference(superposition,[],[f118,f165]) ).
fof(f165,plain,
( e23 = h(e10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl0_4
<=> e23 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f118,plain,
h(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[],[f18,f102]) ).
fof(f102,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f18,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f235,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f234]) ).
fof(f234,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f233,f69]) ).
fof(f69,plain,
e22 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f233,plain,
( e22 = e23
| ~ spl0_3 ),
inference(forward_demodulation,[],[f225,f161]) ).
fof(f161,plain,
( e22 = h(e10)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl0_3
<=> e22 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f225,plain,
( e23 = h(e10)
| ~ spl0_3 ),
inference(superposition,[],[f53,f224]) ).
fof(f224,plain,
( e10 = j(e23)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f221,f102]) ).
fof(f221,plain,
( op1(e10,e10) = j(e23)
| ~ spl0_3 ),
inference(superposition,[],[f144,f205]) ).
fof(f205,plain,
( e10 = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f54,f161]) ).
fof(f197,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f196]) ).
fof(f196,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f195,f68]) ).
fof(f68,plain,
e21 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f195,plain,
( e21 = e23
| ~ spl0_2 ),
inference(forward_demodulation,[],[f187,f157]) ).
fof(f157,plain,
( e21 = h(e10)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl0_2
<=> e21 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f187,plain,
( e23 = h(e10)
| ~ spl0_2 ),
inference(superposition,[],[f53,f186]) ).
fof(f186,plain,
( e10 = j(e23)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f181,f102]) ).
fof(f181,plain,
( op1(e10,e10) = j(e23)
| ~ spl0_2 ),
inference(superposition,[],[f139,f167]) ).
fof(f167,plain,
( e10 = j(e21)
| ~ spl0_2 ),
inference(superposition,[],[f54,f157]) ).
fof(f166,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f10,f163,f159,f155,f151]) ).
fof(f10,plain,
( e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ALG042+1 : TPTP v8.1.2. Released v2.7.0.
% 0.11/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 19:58:53 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (12922)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (12927)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)
% 0.14/0.37 % (12925)WARNING: value z3 for option sas not known
% 0.14/0.37 % (12923)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (12925)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)
% 0.14/0.37 % (12926)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (12924)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (12928)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 % (12929)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)
% 0.14/0.37 Detected minimum model sizes of [8]
% 0.14/0.37 Detected maximum model sizes of [max]
% 0.14/0.38 Detected minimum model sizes of [8]
% 0.14/0.38 Detected maximum model sizes of [max]
% 0.14/0.38 TRYING [8]
% 0.14/0.38 TRYING [8]
% 0.14/0.38 % (12925)First to succeed.
% 0.14/0.39 % (12925)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12922"
% 0.14/0.39 % (12925)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
% 0.14/0.39 % (12925)------------------------------
% 0.14/0.39 % (12925)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (12925)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (12925)Memory used [KB]: 1001
% 0.14/0.39 % (12925)Time elapsed: 0.019 s
% 0.14/0.39 % (12925)Instructions burned: 32 (million)
% 0.14/0.39 % (12922)Success in time 0.038 s
%------------------------------------------------------------------------------