TSTP Solution File: ALG089+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG089+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n010.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 04:10:59 EDT 2024
% Result : Theorem 0.67s 0.75s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 62 ( 15 unt; 0 def)
% Number of atoms : 604 ( 546 equ)
% Maximal formula atoms : 110 ( 9 avg)
% Number of connectives : 588 ( 46 ~; 202 |; 331 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 8 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 8 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2012,plain,
$false,
inference(avatar_sat_refutation,[],[f258,f715,f894,f1036,f1169,f1496,f1612,f1801]) ).
fof(f1801,plain,
~ spl0_48,
inference(avatar_contradiction_clause,[],[f1800]) ).
fof(f1800,plain,
( $false
| ~ spl0_48 ),
inference(subsumption_resolution,[],[f1799,f162]) ).
fof(f162,plain,
e22 != e23,
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/sandbox2/tmp/tmp.ZlT7wOdNhT/Vampire---4.8_9863',ax2) ).
fof(f1799,plain,
( e22 = e23
| ~ spl0_48 ),
inference(backward_demodulation,[],[f92,f1798]) ).
fof(f1798,plain,
( e22 = op2(e22,e22)
| ~ spl0_48 ),
inference(backward_demodulation,[],[f434,f375]) ).
fof(f375,plain,
( e22 = h(e10)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f373,plain,
( spl0_48
<=> e22 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f434,plain,
h(e10) = op2(h(e10),h(e10)),
inference(backward_demodulation,[],[f20,f105]) ).
fof(f105,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e10 = op1(e14,e14)
& e12 = op1(e14,e13)
& e11 = op1(e14,e12)
& e13 = op1(e14,e11)
& e14 = op1(e14,e10)
& e11 = op1(e13,e14)
& e10 = op1(e13,e13)
& e14 = op1(e13,e12)
& e12 = op1(e13,e11)
& e13 = op1(e13,e10)
& e13 = op1(e12,e14)
& e11 = op1(e12,e13)
& e10 = op1(e12,e12)
& e14 = op1(e12,e11)
& e12 = op1(e12,e10)
& e12 = op1(e11,e14)
& e14 = op1(e11,e13)
& e13 = op1(e11,e12)
& e10 = 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/sandbox2/tmp/tmp.ZlT7wOdNhT/Vampire---4.8_9863',ax4) ).
fof(f20,plain,
h(op1(e10,e10)) = op2(h(e10),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/sandbox2/tmp/tmp.ZlT7wOdNhT/Vampire---4.8_9863',co1) ).
fof(f92,plain,
e23 = op2(e22,e22),
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/sandbox2/tmp/tmp.ZlT7wOdNhT/Vampire---4.8_9863',ax5) ).
fof(f1612,plain,
( spl0_48
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1512,f218,f373]) ).
fof(f218,plain,
( spl0_11
<=> e10 = j(e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1512,plain,
( e22 = h(e10)
| ~ spl0_11 ),
inference(backward_demodulation,[],[f72,f220]) ).
fof(f220,plain,
( e10 = j(e22)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f72,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f1496,plain,
( spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1495,f239,f218]) ).
fof(f239,plain,
( spl0_16
<=> e10 = j(e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1495,plain,
( e10 = j(e22)
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1484,f105]) ).
fof(f1484,plain,
( op1(e10,e10) = j(e22)
| ~ spl0_16 ),
inference(backward_demodulation,[],[f403,f241]) ).
fof(f241,plain,
( e10 = j(e21)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f403,plain,
j(e22) = op1(j(e21),j(e21)),
inference(backward_demodulation,[],[f51,f86]) ).
fof(f86,plain,
e22 = op2(e21,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f51,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f1169,plain,
( spl0_11
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1168]) ).
fof(f1168,plain,
( $false
| spl0_11
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f1167,f219]) ).
fof(f219,plain,
( e10 != j(e22)
| spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f1167,plain,
( e10 = j(e22)
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1157,f129]) ).
fof(f129,plain,
e10 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f1157,plain,
( op1(e14,e14) = j(e22)
| ~ spl0_20 ),
inference(backward_demodulation,[],[f403,f257]) ).
fof(f257,plain,
( e14 = j(e21)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl0_20
<=> e14 = j(e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1036,plain,
( spl0_11
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1035]) ).
fof(f1035,plain,
( $false
| spl0_11
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f1034,f219]) ).
fof(f1034,plain,
( e10 = j(e22)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1033,f123]) ).
fof(f123,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f1033,plain,
( op1(e13,e13) = j(e22)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f403,f253]) ).
fof(f253,plain,
( e13 = j(e21)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl0_19
<=> e13 = j(e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f894,plain,
( spl0_11
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f893]) ).
fof(f893,plain,
( $false
| spl0_11
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f892,f219]) ).
fof(f892,plain,
( e10 = j(e22)
| ~ spl0_18 ),
inference(forward_demodulation,[],[f891,f117]) ).
fof(f117,plain,
e10 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f891,plain,
( op1(e12,e12) = j(e22)
| ~ spl0_18 ),
inference(forward_demodulation,[],[f403,f249]) ).
fof(f249,plain,
( e12 = j(e21)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl0_18
<=> e12 = j(e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f715,plain,
( spl0_11
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f714,f243,f218]) ).
fof(f243,plain,
( spl0_17
<=> e11 = j(e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f714,plain,
( e10 = j(e22)
| ~ spl0_17 ),
inference(forward_demodulation,[],[f705,f111]) ).
fof(f111,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f705,plain,
( op1(e11,e11) = j(e22)
| ~ spl0_17 ),
inference(backward_demodulation,[],[f403,f245]) ).
fof(f245,plain,
( e11 = j(e21)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f258,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f16,f255,f251,f247,f243,f239]) ).
fof(f16,plain,
( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG089+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 19:57:38 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a FOF_THM_RFO_PEQ problem
% 0.12/0.34 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.ZlT7wOdNhT/Vampire---4.8_9863
% 0.50/0.71 % (9971)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.50/0.71 % (9975)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.50/0.71 % (9974)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.50/0.71 % (9973)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.50/0.71 % (9976)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.50/0.71 % (9972)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.50/0.71 % (9977)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.50/0.71 % (9978)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.50/0.71 % (9971)Refutation not found, incomplete strategy% (9971)------------------------------
% 0.50/0.71 % (9971)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.71 % (9971)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.71
% 0.50/0.71 % (9971)Memory used [KB]: 1181
% 0.50/0.71 % (9971)Time elapsed: 0.004 s
% 0.50/0.71 % (9971)Instructions burned: 11 (million)
% 0.50/0.72 % (9971)------------------------------
% 0.50/0.72 % (9971)------------------------------
% 0.50/0.72 % (9975)Refutation not found, incomplete strategy% (9975)------------------------------
% 0.50/0.72 % (9975)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.72 % (9975)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.72
% 0.50/0.72 % (9975)Memory used [KB]: 1181
% 0.50/0.72 % (9975)Time elapsed: 0.005 s
% 0.50/0.72 % (9975)Instructions burned: 10 (million)
% 0.50/0.72 % (9978)Refutation not found, incomplete strategy% (9978)------------------------------
% 0.50/0.72 % (9978)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.72 % (9975)------------------------------
% 0.50/0.72 % (9975)------------------------------
% 0.50/0.72 % (9978)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.72
% 0.50/0.72 % (9978)Memory used [KB]: 1167
% 0.50/0.72 % (9978)Time elapsed: 0.005 s
% 0.50/0.72 % (9978)Instructions burned: 8 (million)
% 0.50/0.72 % (9978)------------------------------
% 0.50/0.72 % (9978)------------------------------
% 0.50/0.72 % (9979)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.50/0.72 % (9981)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.50/0.72 % (9980)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.50/0.73 % (9974)Instruction limit reached!
% 0.50/0.73 % (9974)------------------------------
% 0.50/0.73 % (9974)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73 % (9974)Termination reason: Unknown
% 0.50/0.73 % (9974)Termination phase: Saturation
% 0.50/0.73
% 0.50/0.73 % (9974)Memory used [KB]: 1327
% 0.50/0.73 % (9974)Time elapsed: 0.017 s
% 0.50/0.73 % (9974)Instructions burned: 33 (million)
% 0.50/0.73 % (9974)------------------------------
% 0.50/0.73 % (9974)------------------------------
% 0.50/0.73 % (9980)Refutation not found, incomplete strategy% (9980)------------------------------
% 0.50/0.73 % (9980)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73 % (9980)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.73
% 0.50/0.73 % (9980)Memory used [KB]: 1236
% 0.50/0.73 % (9980)Time elapsed: 0.009 s
% 0.50/0.73 % (9980)Instructions burned: 17 (million)
% 0.50/0.73 % (9980)------------------------------
% 0.50/0.73 % (9980)------------------------------
% 0.50/0.73 % (9983)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.50/0.73 % (9976)Instruction limit reached!
% 0.50/0.73 % (9976)------------------------------
% 0.50/0.73 % (9976)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73 % (9976)Termination reason: Unknown
% 0.50/0.73 % (9976)Termination phase: Saturation
% 0.50/0.73
% 0.50/0.73 % (9976)Memory used [KB]: 1502
% 0.50/0.73 % (9976)Time elapsed: 0.022 s
% 0.50/0.73 % (9976)Instructions burned: 45 (million)
% 0.50/0.73 % (9976)------------------------------
% 0.50/0.73 % (9976)------------------------------
% 0.50/0.73 % (9979)Instruction limit reached!
% 0.50/0.73 % (9979)------------------------------
% 0.50/0.73 % (9979)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.73 % (9979)Termination reason: Unknown
% 0.50/0.73 % (9979)Termination phase: Saturation
% 0.50/0.73
% 0.50/0.73 % (9979)Memory used [KB]: 1465
% 0.50/0.73 % (9979)Time elapsed: 0.016 s
% 0.50/0.73 % (9979)Instructions burned: 56 (million)
% 0.50/0.73 % (9979)------------------------------
% 0.50/0.73 % (9979)------------------------------
% 0.50/0.74 % (9985)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.50/0.74 % (9982)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.50/0.74 % (9984)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.50/0.74 % (9972)Instruction limit reached!
% 0.50/0.74 % (9972)------------------------------
% 0.50/0.74 % (9972)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.74 % (9972)Termination reason: Unknown
% 0.50/0.74 % (9972)Termination phase: Saturation
% 0.50/0.74
% 0.50/0.74 % (9972)Memory used [KB]: 1743
% 0.50/0.74 % (9972)Time elapsed: 0.026 s
% 0.50/0.74 % (9972)Instructions burned: 51 (million)
% 0.50/0.74 % (9972)------------------------------
% 0.50/0.74 % (9972)------------------------------
% 0.50/0.74 % (9984)Refutation not found, incomplete strategy% (9984)------------------------------
% 0.50/0.74 % (9984)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.74 % (9984)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.74
% 0.50/0.74 % (9984)Memory used [KB]: 1193
% 0.50/0.74 % (9984)Time elapsed: 0.006 s
% 0.50/0.74 % (9984)Instructions burned: 10 (million)
% 0.50/0.74 % (9984)------------------------------
% 0.50/0.74 % (9984)------------------------------
% 0.50/0.74 % (9986)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.50/0.75 % (9986)Refutation not found, incomplete strategy% (9986)------------------------------
% 0.50/0.75 % (9986)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.75 % (9987)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.50/0.75 % (9986)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.75
% 0.50/0.75 % (9986)Memory used [KB]: 1172
% 0.50/0.75 % (9986)Time elapsed: 0.006 s
% 0.50/0.75 % (9986)Instructions burned: 10 (million)
% 0.50/0.75 % (9986)------------------------------
% 0.50/0.75 % (9986)------------------------------
% 0.67/0.75 % (9973)First to succeed.
% 0.67/0.75 % (9977)Also succeeded, but the first one will report.
% 0.67/0.75 % (9973)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9970"
% 0.67/0.75 % (9988)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.67/0.75 % (9973)Refutation found. Thanks to Tanya!
% 0.67/0.75 % SZS status Theorem for Vampire---4
% 0.67/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.67/0.75 % (9973)------------------------------
% 0.67/0.75 % (9973)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.75 % (9973)Termination reason: Refutation
% 0.67/0.75
% 0.67/0.75 % (9973)Memory used [KB]: 1588
% 0.67/0.75 % (9973)Time elapsed: 0.042 s
% 0.67/0.75 % (9973)Instructions burned: 84 (million)
% 0.67/0.75 % (9970)Success in time 0.401 s
% 0.67/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------