TSTP Solution File: ALG081+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG081+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 : 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 : Sun May 5 04:18:37 EDT 2024
% Result : Theorem 0.21s 0.40s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 156 ( 55 unt; 0 def)
% Number of atoms : 777 ( 637 equ)
% Maximal formula atoms : 110 ( 4 avg)
% Number of connectives : 759 ( 138 ~; 269 |; 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(f785,plain,
$false,
inference(avatar_sat_refutation,[],[f245,f283,f325,f380,f404,f423,f446,f467,f471,f491,f507,f571,f623,f675,f782]) ).
fof(f782,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f781]) ).
fof(f781,plain,
( $false
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f780,f90]) ).
fof(f90,plain,
e20 != e21,
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(f780,plain,
( e20 = e21
| ~ spl0_7 ),
inference(forward_demodulation,[],[f779,f149]) ).
fof(f149,plain,
e20 = op2(e24,e24),
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)
& e22 = op2(e23,e24)
& e21 = op2(e23,e23)
& e20 = op2(e23,e22)
& e24 = op2(e23,e21)
& e23 = op2(e23,e20)
& e21 = op2(e22,e24)
& e24 = op2(e22,e23)
& e23 = op2(e22,e22)
& e20 = op2(e22,e21)
& e22 = op2(e22,e20)
& e23 = op2(e21,e24)
& e20 = op2(e21,e23)
& e24 = op2(e21,e22)
& e22 = 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(f779,plain,
( e21 = op2(e24,e24)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f766,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(f766,plain,
( op2(e24,e24) = h(e11)
| ~ spl0_7 ),
inference(superposition,[],[f193,f720]) ).
fof(f720,plain,
( e24 = h(e13)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f719,f132]) ).
fof(f132,plain,
e24 = op2(e21,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f719,plain,
( op2(e21,e22) = h(e13)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f710,f312]) ).
fof(f710,plain,
( h(e13) = op2(h(e11),e22)
| ~ spl0_7 ),
inference(superposition,[],[f182,f406]) ).
fof(f406,plain,
( e22 = h(e12)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f393,f131]) ).
fof(f131,plain,
e22 = op2(e21,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f393,plain,
( op2(e21,e21) = h(e12)
| ~ spl0_7 ),
inference(superposition,[],[f181,f312]) ).
fof(f181,plain,
h(e12) = op2(h(e11),h(e11)),
inference(forward_demodulation,[],[f26,f156]) ).
fof(f156,plain,
e12 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e11 = op1(e14,e14)
& e12 = op1(e14,e13)
& e10 = op1(e14,e12)
& e13 = op1(e14,e11)
& e14 = op1(e14,e10)
& e12 = op1(e13,e14)
& e11 = op1(e13,e13)
& e14 = op1(e13,e12)
& e10 = op1(e13,e11)
& e13 = op1(e13,e10)
& e13 = op1(e12,e14)
& e10 = op1(e12,e13)
& e11 = op1(e12,e12)
& e14 = op1(e12,e11)
& e12 = op1(e12,e10)
& e10 = op1(e11,e14)
& e14 = op1(e11,e13)
& e13 = op1(e11,e12)
& e12 = 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(f26,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
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(f182,plain,
h(e13) = op2(h(e11),h(e12)),
inference(forward_demodulation,[],[f27,f157]) ).
fof(f157,plain,
e13 = op1(e11,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f27,plain,
h(op1(e11,e12)) = op2(h(e11),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f193,plain,
h(e11) = op2(h(e13),h(e13)),
inference(forward_demodulation,[],[f38,f168]) ).
fof(f168,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f38,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f675,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f674,plain,
( $false
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f673,f94]) ).
fof(f94,plain,
e21 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f673,plain,
( e21 = e22
| ~ spl0_8 ),
inference(forward_demodulation,[],[f672,f143]) ).
fof(f143,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f672,plain,
( e22 = op2(e23,e23)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f661,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(f661,plain,
( op2(e23,e23) = h(e11)
| ~ spl0_8 ),
inference(superposition,[],[f187,f426]) ).
fof(f426,plain,
( e23 = h(e12)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f412,f137]) ).
fof(f137,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f412,plain,
( op2(e22,e22) = h(e12)
| ~ spl0_8 ),
inference(superposition,[],[f181,f316]) ).
fof(f187,plain,
h(e11) = op2(h(e12),h(e12)),
inference(forward_demodulation,[],[f32,f162]) ).
fof(f162,plain,
e11 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f32,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f623,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f622]) ).
fof(f622,plain,
( $false
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f621,f93]) ).
fof(f93,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f621,plain,
( e20 = e24
| ~ spl0_10 ),
inference(forward_demodulation,[],[f620,f125]) ).
fof(f125,plain,
e20 = op2(e20,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f620,plain,
( e24 = op2(e20,e20)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f609,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(f609,plain,
( op2(e20,e20) = h(e11)
| ~ spl0_10 ),
inference(superposition,[],[f187,f472]) ).
fof(f472,plain,
( e20 = h(e12)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f453,f149]) ).
fof(f453,plain,
( op2(e24,e24) = h(e12)
| ~ spl0_10 ),
inference(superposition,[],[f181,f324]) ).
fof(f571,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f570]) ).
fof(f570,plain,
( $false
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f569,f97]) ).
fof(f97,plain,
e22 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f569,plain,
( e22 = e23
| ~ spl0_9 ),
inference(forward_demodulation,[],[f568,f131]) ).
fof(f568,plain,
( e23 = op2(e21,e21)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f557,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(f557,plain,
( op2(e21,e21) = h(e11)
| ~ spl0_9 ),
inference(superposition,[],[f187,f447]) ).
fof(f447,plain,
( e21 = h(e12)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f432,f143]) ).
fof(f432,plain,
( op2(e23,e23) = h(e12)
| ~ spl0_9 ),
inference(superposition,[],[f181,f320]) ).
fof(f507,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f506]) ).
fof(f506,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f505,f95]) ).
fof(f95,plain,
e21 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f505,plain,
( e21 = e23
| ~ spl0_4 ),
inference(forward_demodulation,[],[f493,f143]) ).
fof(f493,plain,
( e23 = op2(e23,e23)
| ~ spl0_4 ),
inference(superposition,[],[f175,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(f175,plain,
h(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[],[f20,f150]) ).
fof(f150,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f20,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f491,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f490]) ).
fof(f490,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f489,f93]) ).
fof(f489,plain,
( e20 = e24
| ~ spl0_5 ),
inference(forward_demodulation,[],[f476,f149]) ).
fof(f476,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(f471,plain,
( ~ spl0_3
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f470,plain,
( $false
| ~ spl0_3
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f469,f96]) ).
fof(f96,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f469,plain,
( e21 = e24
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f468,f147]) ).
fof(f147,plain,
e21 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f468,plain,
( e24 = op2(e24,e22)
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f452,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(f452,plain,
( e24 = op2(e24,h(e10))
| ~ spl0_10 ),
inference(superposition,[],[f180,f324]) ).
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(f25,plain,
h(op1(e11,e10)) = op2(h(e11),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f467,plain,
( ~ spl0_3
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f466]) ).
fof(f466,plain,
( $false
| ~ spl0_3
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f465,f96]) ).
fof(f465,plain,
( e21 = e24
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f464,f139]) ).
fof(f139,plain,
e21 = op2(e22,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f464,plain,
( e24 = op2(e22,e24)
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f451,f236]) ).
fof(f451,plain,
( e24 = op2(h(e10),e24)
| ~ spl0_10 ),
inference(superposition,[],[f176,f324]) ).
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(f446,plain,
( ~ spl0_3
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f445]) ).
fof(f445,plain,
( $false
| ~ spl0_3
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f444,f92]) ).
fof(f92,plain,
e20 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f444,plain,
( e20 = e23
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f443,f142]) ).
fof(f142,plain,
e20 = op2(e23,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f443,plain,
( e23 = op2(e23,e22)
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f431,f236]) ).
fof(f431,plain,
( e23 = op2(e23,h(e10))
| ~ spl0_9 ),
inference(superposition,[],[f180,f320]) ).
fof(f423,plain,
( ~ spl0_3
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f422]) ).
fof(f422,plain,
( $false
| ~ spl0_3
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f421,f80]) ).
fof(f80,plain,
e10 != e11,
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(f421,plain,
( e10 = e11
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f409,f291]) ).
fof(f291,plain,
( e10 = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f75,f236]) ).
fof(f75,plain,
e10 = j(h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f409,plain,
( e11 = j(e22)
| ~ spl0_8 ),
inference(superposition,[],[f76,f316]) ).
fof(f76,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f404,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f403,plain,
( $false
| ~ spl0_3
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f402,f90]) ).
fof(f402,plain,
( e20 = e21
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f401,f136]) ).
fof(f136,plain,
e20 = op2(e22,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f401,plain,
( e21 = op2(e22,e21)
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f391,f236]) ).
fof(f391,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,f84]) ).
fof(f84,plain,
e11 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f378,plain,
( e11 = e12
| ~ 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,
( e12 = j(e20)
| ~ spl0_6 ),
inference(superposition,[],[f77,f338]) ).
fof(f338,plain,
( e20 = h(e12)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f329,f125]) ).
fof(f329,plain,
( op2(e20,e20) = h(e12)
| ~ spl0_6 ),
inference(superposition,[],[f181,f308]) ).
fof(f77,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f325,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f322,f318,f314,f310,f306]) ).
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,f94]) ).
fof(f281,plain,
( e21 = e22
| ~ 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,
( e22 = h(e10)
| ~ spl0_2 ),
inference(superposition,[],[f72,f270]) ).
fof(f270,plain,
( e10 = j(e22)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f263,f150]) ).
fof(f263,plain,
( op1(e10,e10) = j(e22)
| ~ spl0_2 ),
inference(superposition,[],[f206,f246]) ).
fof(f246,plain,
( e10 = j(e21)
| ~ spl0_2 ),
inference(superposition,[],[f75,f232]) ).
fof(f206,plain,
j(e22) = op1(j(e21),j(e21)),
inference(forward_demodulation,[],[f51,f131]) ).
fof(f51,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f72,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f245,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f242,f238,f234,f230,f226]) ).
fof(f226,plain,
( spl0_1
<=> e20 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
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
% 0.04/0.12 % Problem : ALG081+1 : TPTP v8.1.2. Released v2.7.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 19:55:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (7215)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (7218)WARNING: value z3 for option sas not known
% 0.21/0.38 % (7216)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (7217)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (7220)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (7221)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)
% 0.21/0.38 % (7218)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)
% 0.21/0.38 % (7222)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)
% 0.21/0.38 % (7223)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)
% 0.21/0.39 Detected minimum model sizes of [10]
% 0.21/0.39 Detected maximum model sizes of [max]
% 0.21/0.39 Detected minimum model sizes of [10]
% 0.21/0.39 Detected maximum model sizes of [max]
% 0.21/0.39 TRYING [10]
% 0.21/0.39 TRYING [10]
% 0.21/0.40 % (7218)First to succeed.
% 0.21/0.40 % (7218)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7215"
% 0.21/0.40 % (7218)Refutation found. Thanks to Tanya!
% 0.21/0.40 % SZS status Theorem for theBenchmark
% 0.21/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.40 % (7218)------------------------------
% 0.21/0.40 % (7218)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.40 % (7218)Termination reason: Refutation
% 0.21/0.40
% 0.21/0.40 % (7218)Memory used [KB]: 1045
% 0.21/0.40 % (7218)Time elapsed: 0.024 s
% 0.21/0.40 % (7218)Instructions burned: 43 (million)
% 0.21/0.40 % (7215)Success in time 0.043 s
%------------------------------------------------------------------------------