TSTP Solution File: ALG183+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG183+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 18:34:23 EDT 2024
% Result : Theorem 0.15s 0.42s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 116 ( 30 unt; 0 def)
% Number of atoms : 723 ( 603 equ)
% Maximal formula atoms : 110 ( 6 avg)
% Number of connectives : 725 ( 118 ~; 255 |; 340 &)
% ( 10 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 11 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f667,plain,
$false,
inference(avatar_sat_refutation,[],[f245,f283,f324,f365,f396,f415,f457,f489,f507,f570,f614,f656]) ).
fof(f656,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f655]) ).
fof(f655,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f654,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(f654,plain,
( e10 = e14
| ~ spl0_5 ),
inference(forward_demodulation,[],[f644,f468]) ).
fof(f468,plain,
( e10 = j(e24)
| ~ spl0_5 ),
inference(superposition,[],[f75,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(f75,plain,
e10 = j(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(f644,plain,
( e14 = j(e24)
| ~ spl0_5 ),
inference(superposition,[],[f79,f482]) ).
fof(f482,plain,
( e24 = h(e14)
| ~ spl0_5 ),
inference(forward_demodulation,[],[f469,f149]) ).
fof(f149,plain,
e24 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e24 = op2(e24,e24)
& e20 = op2(e24,e23)
& e21 = op2(e24,e22)
& e22 = op2(e24,e21)
& e23 = op2(e24,e20)
& e21 = op2(e23,e24)
& e23 = op2(e23,e23)
& e20 = op2(e23,e22)
& e24 = op2(e23,e21)
& e22 = op2(e23,e20)
& e23 = op2(e22,e24)
& e24 = op2(e22,e23)
& e22 = op2(e22,e22)
& e20 = op2(e22,e21)
& e21 = op2(e22,e20)
& e20 = op2(e21,e24)
& e22 = op2(e21,e23)
& e23 = op2(e21,e22)
& e21 = op2(e21,e21)
& e24 = op2(e21,e20)
& e22 = op2(e20,e24)
& e21 = op2(e20,e23)
& e24 = op2(e20,e22)
& e23 = op2(e20,e21)
& e20 = op2(e20,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f469,plain,
( op2(e24,e24) = h(e14)
| ~ spl0_5 ),
inference(superposition,[],[f175,f244]) ).
fof(f175,plain,
h(e14) = op2(h(e10),h(e10)),
inference(forward_demodulation,[],[f20,f150]) ).
fof(f150,plain,
e14 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e10 = op1(e14,e14)
& e14 = op1(e14,e13)
& e11 = op1(e14,e12)
& e13 = op1(e14,e11)
& e12 = op1(e14,e10)
& e11 = op1(e13,e14)
& e12 = op1(e13,e13)
& e14 = op1(e13,e12)
& e10 = op1(e13,e11)
& e13 = op1(e13,e10)
& e12 = op1(e12,e14)
& e10 = op1(e12,e13)
& e13 = op1(e12,e12)
& e14 = op1(e12,e11)
& e11 = op1(e12,e10)
& e14 = op1(e11,e14)
& e13 = op1(e11,e13)
& e12 = op1(e11,e12)
& e11 = op1(e11,e11)
& e10 = op1(e11,e10)
& e13 = op1(e10,e14)
& e11 = op1(e10,e13)
& e10 = op1(e10,e12)
& e12 = op1(e10,e11)
& e14 = op1(e10,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f20,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f79,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f614,plain,
( ~ spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f613]) ).
fof(f613,plain,
( $false
| ~ spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f612,f96]) ).
fof(f96,plain,
e21 != e24,
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(f612,plain,
( e21 = e24
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f611,f144]) ).
fof(f144,plain,
e21 = op2(e23,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f611,plain,
( e24 = op2(e23,e24)
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f598,f244]) ).
fof(f598,plain,
( h(e10) = op2(e23,h(e10))
| ~ spl0_9 ),
inference(superposition,[],[f180,f319]) ).
fof(f319,plain,
( e23 = h(e11)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f317,plain,
( spl0_9
<=> e23 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f180,plain,
h(e10) = op2(h(e11),h(e10)),
inference(forward_demodulation,[],[f25,f155]) ).
fof(f155,plain,
e10 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f25,plain,
h(op1(e11,e10)) = op2(h(e11),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f570,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f569]) ).
fof(f569,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f568,f83]) ).
fof(f568,plain,
( e10 = e14
| ~ spl0_1 ),
inference(forward_demodulation,[],[f558,f509]) ).
fof(f509,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(f558,plain,
( e14 = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f79,f522]) ).
fof(f522,plain,
( e20 = h(e14)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f510,f125]) ).
fof(f125,plain,
e20 = op2(e20,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f510,plain,
( op2(e20,e20) = h(e14)
| ~ spl0_1 ),
inference(superposition,[],[f175,f228]) ).
fof(f507,plain,
( ~ spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f506]) ).
fof(f506,plain,
( $false
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f505,f93]) ).
fof(f93,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f505,plain,
( e20 = e24
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f504,f134]) ).
fof(f134,plain,
e20 = op2(e21,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f504,plain,
( e24 = op2(e21,e24)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f493,f244]) ).
fof(f493,plain,
( h(e10) = op2(e21,h(e10))
| ~ spl0_7 ),
inference(superposition,[],[f180,f311]) ).
fof(f311,plain,
( e21 = h(e11)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f309,plain,
( spl0_7
<=> e21 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f489,plain,
( ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f488]) ).
fof(f488,plain,
( $false
| ~ spl0_5
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f487,f99]) ).
fof(f99,plain,
e23 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f487,plain,
( e23 = e24
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f486,f139]) ).
fof(f139,plain,
e23 = op2(e22,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f486,plain,
( e24 = op2(e22,e24)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f474,f315]) ).
fof(f315,plain,
( e22 = h(e11)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f313,plain,
( spl0_8
<=> e22 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f474,plain,
( e24 = op2(h(e11),e24)
| ~ spl0_5 ),
inference(superposition,[],[f180,f244]) ).
fof(f457,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f456]) ).
fof(f456,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f455,f83]) ).
fof(f455,plain,
( e10 = e14
| ~ spl0_4 ),
inference(forward_demodulation,[],[f445,f376]) ).
fof(f376,plain,
( e10 = j(e23)
| ~ spl0_4 ),
inference(superposition,[],[f75,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(f445,plain,
( e14 = j(e23)
| ~ spl0_4 ),
inference(superposition,[],[f79,f389]) ).
fof(f389,plain,
( e23 = h(e14)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f377,f143]) ).
fof(f143,plain,
e23 = op2(e23,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f377,plain,
( op2(e23,e23) = h(e14)
| ~ spl0_4 ),
inference(superposition,[],[f175,f240]) ).
fof(f415,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f414,plain,
( $false
| ~ spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f413,f97]) ).
fof(f97,plain,
e22 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f413,plain,
( e22 = e23
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f412,f133]) ).
fof(f133,plain,
e22 = op2(e21,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f412,plain,
( e23 = op2(e21,e23)
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f401,f240]) ).
fof(f401,plain,
( h(e10) = op2(e21,h(e10))
| ~ spl0_7 ),
inference(superposition,[],[f180,f311]) ).
fof(f396,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f395,plain,
( $false
| ~ spl0_4
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f394,f95]) ).
fof(f95,plain,
e21 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f394,plain,
( e21 = e23
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f393,f128]) ).
fof(f128,plain,
e21 = op2(e20,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f393,plain,
( e23 = op2(e20,e23)
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f382,f307]) ).
fof(f307,plain,
( e20 = h(e11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f305,plain,
( spl0_6
<=> e20 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f382,plain,
( e23 = op2(h(e11),e23)
| ~ spl0_4 ),
inference(superposition,[],[f180,f240]) ).
fof(f365,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f364,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f363,f83]) ).
fof(f363,plain,
( e10 = e14
| ~ spl0_3 ),
inference(forward_demodulation,[],[f353,f289]) ).
fof(f289,plain,
( e10 = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f75,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(f353,plain,
( e14 = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f79,f301]) ).
fof(f301,plain,
( e22 = h(e14)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f290,f137]) ).
fof(f137,plain,
e22 = op2(e22,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f290,plain,
( op2(e22,e22) = h(e14)
| ~ spl0_3 ),
inference(superposition,[],[f175,f236]) ).
fof(f324,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f321,f317,f313,f309,f305]) ).
fof(f321,plain,
( spl0_10
<=> e24 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f11,plain,
( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f283,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f282,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f281,f83]) ).
fof(f281,plain,
( e10 = e14
| ~ spl0_2 ),
inference(forward_demodulation,[],[f271,f246]) ).
fof(f246,plain,
( e10 = j(e21)
| ~ spl0_2 ),
inference(superposition,[],[f75,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,
( e14 = j(e21)
| ~ spl0_2 ),
inference(superposition,[],[f79,f257]) ).
fof(f257,plain,
( e21 = h(e14)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f247,f131]) ).
fof(f131,plain,
e21 = op2(e21,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f247,plain,
( op2(e21,e21) = h(e14)
| ~ spl0_2 ),
inference(superposition,[],[f175,f232]) ).
fof(f245,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f242,f238,f234,f230,f226]) ).
fof(f10,plain,
( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : ALG183+1 : TPTP v8.2.0. Released v2.7.0.
% 0.13/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37 % Computer : n013.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat May 18 23:17:08 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.38 % (3617)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40 % (3620)WARNING: value z3 for option sas not known
% 0.15/0.40 % (3623)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.40 % (3619)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.40 % (3618)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.40 % (3621)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.40 % (3624)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.40 % (3622)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.40 % (3620)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.41 Detected minimum model sizes of [10]
% 0.15/0.41 Detected maximum model sizes of [max]
% 0.15/0.41 Detected minimum model sizes of [10]
% 0.15/0.41 Detected maximum model sizes of [max]
% 0.15/0.41 TRYING [10]
% 0.15/0.41 TRYING [10]
% 0.15/0.41 % (3620)First to succeed.
% 0.15/0.42 % (3620)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3617"
% 0.15/0.42 % (3620)Refutation found. Thanks to Tanya!
% 0.15/0.42 % SZS status Theorem for theBenchmark
% 0.15/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.42 % (3620)------------------------------
% 0.15/0.42 % (3620)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.42 % (3620)Termination reason: Refutation
% 0.15/0.42
% 0.15/0.42 % (3620)Memory used [KB]: 1030
% 0.15/0.42 % (3620)Time elapsed: 0.022 s
% 0.15/0.42 % (3620)Instructions burned: 39 (million)
% 0.15/0.42 % (3617)Success in time 0.033 s
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