TSTP Solution File: ALG082+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG082+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n005.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 : Wed Aug 31 15:42:31 EDT 2022
% Result : Theorem 2.28s 0.67s
% Output : Refutation 2.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 91 ( 23 unt; 0 def)
% Number of atoms : 671 ( 581 equ)
% Maximal formula atoms : 110 ( 7 avg)
% Number of connectives : 665 ( 85 ~; 227 |; 340 &)
% ( 11 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 6 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 12 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2308,plain,
$false,
inference(avatar_sat_refutation,[],[f244,f313,f465,f764,f851,f1101,f1116,f1314,f1558,f1813,f2089,f2151]) ).
fof(f2151,plain,
( ~ spl0_6
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f2150]) ).
fof(f2150,plain,
( $false
| ~ spl0_6
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f2149,f54]) ).
fof(f54,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e20 != e24
& e21 != e22
& e20 != e21
& e22 != e24
& e21 != e23
& e20 != e22
& e23 != e24
& e20 != e23
& e21 != e24
& e22 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f2149,plain,
( e20 = e24
| ~ spl0_6
| ~ spl0_30 ),
inference(forward_demodulation,[],[f2148,f203]) ).
fof(f203,plain,
( e20 = h(e10)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl0_6
<=> e20 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f2148,plain,
( e24 = h(e10)
| ~ spl0_30 ),
inference(forward_demodulation,[],[f126,f312]) ).
fof(f312,plain,
( e10 = j(e24)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f310,plain,
( spl0_30
<=> e10 = j(e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f126,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( j(op2(e22,e22)) = op1(j(e22),j(e22))
& e10 = j(h(e10))
& e13 = j(h(e13))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& ( e12 = j(e23)
| e11 = j(e23)
| e14 = j(e23)
| e10 = j(e23)
| e13 = j(e23) )
& ( e13 = j(e21)
| e10 = j(e21)
| e14 = j(e21)
| e11 = j(e21)
| e12 = j(e21) )
& e21 = h(j(e21))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& ( e14 = j(e24)
| e10 = j(e24)
| e12 = j(e24)
| e13 = j(e24)
| e11 = j(e24) )
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& e23 = h(j(e23))
& ( e24 = h(e12)
| e20 = h(e12)
| e21 = h(e12)
| e22 = h(e12)
| e23 = h(e12) )
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& ( e10 = j(e20)
| e11 = j(e20)
| e12 = j(e20)
| e14 = j(e20)
| e13 = j(e20) )
& ( e20 = h(e14)
| e21 = h(e14)
| e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14) )
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& e20 = h(j(e20))
& e14 = j(h(e14))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& e11 = j(h(e11))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& e12 = j(h(e12))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& e24 = h(j(e24))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& ( e11 = j(e22)
| e10 = j(e22)
| e12 = j(e22)
| e13 = j(e22)
| e14 = j(e22) )
& ( e20 = h(e10)
| e21 = h(e10)
| e22 = h(e10)
| e24 = h(e10)
| e23 = h(e10) )
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& ( e23 = h(e13)
| e20 = h(e13)
| e24 = h(e13)
| e21 = h(e13)
| e22 = h(e13) )
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& e22 = h(j(e22))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e20 = h(e11)
| e21 = h(e11) )
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e20,e23)) = op1(j(e20),j(e23)) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( h(op1(e12,e11)) = op2(h(e12),h(e11))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& e13 = j(h(e13))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& e22 = h(j(e22))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& e10 = j(h(e10))
& e24 = h(j(e24))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& e11 = j(h(e11))
& e14 = j(h(e14))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& e23 = h(j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& e20 = h(j(e20))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& e21 = h(j(e21))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& e12 = j(h(e12))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& ( e11 = j(e22)
| e10 = j(e22)
| e12 = j(e22)
| e13 = j(e22)
| e14 = j(e22) )
& ( e23 = h(e13)
| e20 = h(e13)
| e24 = h(e13)
| e21 = h(e13)
| e22 = h(e13) )
& ( e14 = j(e24)
| e10 = j(e24)
| e12 = j(e24)
| e13 = j(e24)
| e11 = j(e24) )
& ( e12 = j(e23)
| e11 = j(e23)
| e14 = j(e23)
| e10 = j(e23)
| e13 = j(e23) )
& ( e10 = j(e20)
| e11 = j(e20)
| e12 = j(e20)
| e14 = j(e20)
| e13 = j(e20) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e20 = h(e11)
| e21 = h(e11) )
& ( e13 = j(e21)
| e10 = j(e21)
| e14 = j(e21)
| e11 = j(e21)
| e12 = j(e21) )
& ( e24 = h(e12)
| e20 = h(e12)
| e21 = h(e12)
| e22 = h(e12)
| e23 = h(e12) )
& ( e20 = h(e14)
| e21 = h(e14)
| e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14) )
& ( e20 = h(e10)
| e21 = h(e10)
| e22 = h(e10)
| e24 = h(e10)
| e23 = h(e10) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,negated_conjecture,
~ ( ( ( e11 = j(e22)
| e10 = j(e22)
| e12 = j(e22)
| e13 = j(e22)
| e14 = j(e22) )
& ( e23 = h(e13)
| e20 = h(e13)
| e24 = h(e13)
| e21 = h(e13)
| e22 = h(e13) )
& ( e14 = j(e24)
| e10 = j(e24)
| e12 = j(e24)
| e13 = j(e24)
| e11 = j(e24) )
& ( e12 = j(e23)
| e11 = j(e23)
| e14 = j(e23)
| e10 = j(e23)
| e13 = j(e23) )
& ( e10 = j(e20)
| e11 = j(e20)
| e12 = j(e20)
| e14 = j(e20)
| e13 = j(e20) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e20 = h(e11)
| e21 = h(e11) )
& ( e13 = j(e21)
| e10 = j(e21)
| e14 = j(e21)
| e11 = j(e21)
| e12 = j(e21) )
& ( e24 = h(e12)
| e20 = h(e12)
| e21 = h(e12)
| e22 = h(e12)
| e23 = h(e12) )
& ( e20 = h(e14)
| e21 = h(e14)
| e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14) )
& ( e20 = h(e10)
| e21 = h(e10)
| e22 = h(e10)
| e24 = h(e10)
| e23 = h(e10) ) )
=> ~ ( h(op1(e12,e11)) = op2(h(e12),h(e11))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& e13 = j(h(e13))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& e22 = h(j(e22))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& e10 = j(h(e10))
& e24 = h(j(e24))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& e11 = j(h(e11))
& e14 = j(h(e14))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& e23 = h(j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& e20 = h(j(e20))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& e21 = h(j(e21))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& e12 = j(h(e12))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e12,e12)) = op2(h(e12),h(e12)) ) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
( ( ( e11 = j(e22)
| e10 = j(e22)
| e12 = j(e22)
| e13 = j(e22)
| e14 = j(e22) )
& ( e23 = h(e13)
| e20 = h(e13)
| e24 = h(e13)
| e21 = h(e13)
| e22 = h(e13) )
& ( e14 = j(e24)
| e10 = j(e24)
| e12 = j(e24)
| e13 = j(e24)
| e11 = j(e24) )
& ( e12 = j(e23)
| e11 = j(e23)
| e14 = j(e23)
| e10 = j(e23)
| e13 = j(e23) )
& ( e10 = j(e20)
| e11 = j(e20)
| e12 = j(e20)
| e14 = j(e20)
| e13 = j(e20) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e20 = h(e11)
| e21 = h(e11) )
& ( e13 = j(e21)
| e10 = j(e21)
| e14 = j(e21)
| e11 = j(e21)
| e12 = j(e21) )
& ( e24 = h(e12)
| e20 = h(e12)
| e21 = h(e12)
| e22 = h(e12)
| e23 = h(e12) )
& ( e20 = h(e14)
| e21 = h(e14)
| e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14) )
& ( e20 = h(e10)
| e21 = h(e10)
| e22 = h(e10)
| e24 = h(e10)
| e23 = h(e10) ) )
=> ~ ( h(op1(e12,e11)) = op2(h(e12),h(e11))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& e13 = j(h(e13))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& e22 = h(j(e22))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& e10 = j(h(e10))
& e24 = h(j(e24))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& e11 = j(h(e11))
& e14 = j(h(e14))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& e23 = h(j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& e20 = h(j(e20))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& e21 = h(j(e21))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& e12 = j(h(e12))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e12,e12)) = op2(h(e12),h(e12)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f2089,plain,
( ~ spl0_11
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f2088]) ).
fof(f2088,plain,
( $false
| ~ spl0_11
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f2087,f36]) ).
fof(f36,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e10 != e14
& e10 != e11
& e13 != e14
& e11 != e14
& e12 != e13
& e10 != e13
& e12 != e14
& e11 != e13
& e10 != e12
& e11 != e12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2087,plain,
( e10 = e12
| ~ spl0_11
| ~ spl0_28 ),
inference(forward_demodulation,[],[f2077,f11]) ).
fof(f11,plain,
e12 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e11 = op1(e10,e11)
& e14 = op1(e11,e11)
& e13 = op1(e14,e11)
& e14 = op1(e13,e12)
& e11 = op1(e13,e13)
& e14 = op1(e10,e14)
& e14 = op1(e12,e13)
& e13 = op1(e13,e10)
& e10 = op1(e10,e10)
& e13 = op1(e12,e12)
& e10 = op1(e13,e14)
& e11 = op1(e11,e10)
& e10 = op1(e14,e13)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10)
& e11 = op1(e12,e14)
& e13 = op1(e11,e14)
& e13 = op1(e10,e13)
& e10 = op1(e12,e11)
& e10 = op1(e11,e12)
& e12 = op1(e11,e13)
& e14 = op1(e14,e10)
& e11 = op1(e14,e12)
& e12 = op1(e14,e14)
& e12 = op1(e13,e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f2077,plain,
( e10 = op1(e14,e14)
| ~ spl0_11
| ~ spl0_28 ),
inference(backward_demodulation,[],[f1970,f304]) ).
fof(f304,plain,
( e14 = j(e24)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f302,plain,
( spl0_28
<=> e14 = j(e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1970,plain,
( e10 = op1(j(e24),j(e24))
| ~ spl0_11 ),
inference(forward_demodulation,[],[f434,f227]) ).
fof(f227,plain,
( e10 = j(e20)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f225,plain,
( spl0_11
<=> e10 = j(e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f434,plain,
j(e20) = op1(j(e24),j(e24)),
inference(forward_demodulation,[],[f110,f103]) ).
fof(f103,plain,
e20 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e20 = op2(e23,e22)
& e20 = op2(e24,e24)
& e21 = op2(e21,e20)
& e24 = op2(e20,e24)
& e22 = op2(e23,e21)
& e22 = op2(e21,e24)
& e21 = op2(e22,e23)
& e20 = op2(e21,e23)
& e23 = op2(e23,e20)
& e24 = op2(e21,e21)
& e20 = op2(e22,e21)
& e23 = op2(e20,e23)
& e23 = op2(e24,e21)
& e22 = op2(e22,e20)
& e24 = op2(e23,e23)
& e24 = op2(e22,e22)
& e24 = op2(e24,e20)
& e21 = op2(e20,e21)
& e22 = op2(e24,e23)
& e21 = op2(e24,e22)
& e23 = op2(e21,e22)
& e22 = op2(e20,e22)
& e21 = op2(e23,e24)
& e20 = op2(e20,e20)
& e23 = op2(e22,e24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f110,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f1813,plain,
( spl0_14
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1812]) ).
fof(f1812,plain,
( $false
| spl0_14
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f1811,f238]) ).
fof(f238,plain,
( e11 != j(e20)
| spl0_14 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl0_14
<=> e11 = j(e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1811,plain,
( e11 = j(e20)
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1798,f30]) ).
fof(f30,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f1798,plain,
( op1(e13,e13) = j(e20)
| ~ spl0_29 ),
inference(backward_demodulation,[],[f434,f308]) ).
fof(f308,plain,
( e13 = j(e24)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl0_29
<=> e13 = j(e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f1558,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f1557]) ).
fof(f1557,plain,
( $false
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f1556,f38]) ).
fof(f38,plain,
e12 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f1556,plain,
( e12 = e14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f1535,f11]) ).
fof(f1535,plain,
( e14 = op1(e14,e14)
| ~ spl0_15 ),
inference(backward_demodulation,[],[f392,f243]) ).
fof(f243,plain,
( e14 = j(e20)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl0_15
<=> e14 = j(e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f392,plain,
j(e20) = op1(j(e20),j(e20)),
inference(forward_demodulation,[],[f139,f81]) ).
fof(f81,plain,
e20 = op2(e20,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f139,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f1314,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f1313]) ).
fof(f1313,plain,
( $false
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f1312,f41]) ).
fof(f41,plain,
e11 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f1312,plain,
( e11 = e14
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1311,f33]) ).
fof(f33,plain,
e14 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f1311,plain,
( e11 = op1(e11,e11)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f392,f239]) ).
fof(f239,plain,
( e11 = j(e20)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f1116,plain,
( spl0_12
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1115,f298,f229]) ).
fof(f229,plain,
( spl0_12
<=> e13 = j(e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f298,plain,
( spl0_27
<=> e12 = j(e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1115,plain,
( e13 = j(e20)
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1114,f25]) ).
fof(f25,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f1114,plain,
( op1(e12,e12) = j(e20)
| ~ spl0_27 ),
inference(forward_demodulation,[],[f434,f300]) ).
fof(f300,plain,
( e12 = j(e24)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f1101,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f1100]) ).
fof(f1100,plain,
( $false
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f1099,f40]) ).
fof(f40,plain,
e12 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f1099,plain,
( e12 = e13
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1098,f25]) ).
fof(f1098,plain,
( e12 = op1(e12,e12)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f392,f235]) ).
fof(f235,plain,
( e12 = j(e20)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f233,plain,
( spl0_13
<=> e12 = j(e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f851,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f850]) ).
fof(f850,plain,
( $false
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f849,f37]) ).
fof(f37,plain,
e11 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f849,plain,
( e11 = e13
| ~ spl0_12 ),
inference(forward_demodulation,[],[f848,f30]) ).
fof(f848,plain,
( e13 = op1(e13,e13)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f392,f231]) ).
fof(f231,plain,
( e13 = j(e20)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f764,plain,
( spl0_15
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f763,f294,f241]) ).
fof(f294,plain,
( spl0_26
<=> e11 = j(e24) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f763,plain,
( e14 = j(e20)
| ~ spl0_26 ),
inference(forward_demodulation,[],[f762,f33]) ).
fof(f762,plain,
( op1(e11,e11) = j(e20)
| ~ spl0_26 ),
inference(forward_demodulation,[],[f434,f296]) ).
fof(f296,plain,
( e11 = j(e24)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f465,plain,
( spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f451,f225,f201]) ).
fof(f451,plain,
( e20 = h(e10)
| ~ spl0_11 ),
inference(backward_demodulation,[],[f144,f227]) ).
fof(f144,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f313,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f162,f310,f306,f302,f298,f294]) ).
fof(f162,plain,
( e10 = j(e24)
| e13 = j(e24)
| e14 = j(e24)
| e12 = j(e24)
| e11 = j(e24) ),
inference(cnf_transformation,[],[f9]) ).
fof(f244,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f150,f241,f237,f233,f229,f225]) ).
fof(f150,plain,
( e14 = j(e20)
| e11 = j(e20)
| e12 = j(e20)
| e13 = j(e20)
| e10 = j(e20) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG082+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 14:53:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.61/0.56 % (13830)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.61/0.56 % (13822)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.61/0.57 % (13836)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.61/0.57 % (13828)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.61/0.57 % (13814)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.61/0.58 % (13815)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.61/0.59 % (13814)Instruction limit reached!
% 1.61/0.59 % (13814)------------------------------
% 1.61/0.59 % (13814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.59 % (13814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.59 % (13814)Termination reason: Unknown
% 1.61/0.59 % (13814)Termination phase: Saturation
% 1.61/0.59
% 1.61/0.59 % (13814)Memory used [KB]: 5628
% 1.61/0.59 % (13814)Time elapsed: 0.093 s
% 1.61/0.59 % (13814)Instructions burned: 7 (million)
% 1.61/0.59 % (13814)------------------------------
% 1.61/0.59 % (13814)------------------------------
% 1.61/0.59 % (13807)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.61/0.59 % (13820)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.61/0.60 % (13811)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.61/0.60 % (13813)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.61/0.60 % (13815)Instruction limit reached!
% 1.61/0.60 % (13815)------------------------------
% 1.61/0.60 % (13815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.60 % (13815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.60 % (13815)Termination reason: Unknown
% 1.61/0.60 % (13815)Termination phase: Property scanning
% 1.61/0.60
% 1.61/0.60 % (13815)Memory used [KB]: 1023
% 1.61/0.60 % (13815)Time elapsed: 0.004 s
% 1.61/0.60 % (13815)Instructions burned: 3 (million)
% 1.61/0.60 % (13815)------------------------------
% 1.61/0.60 % (13815)------------------------------
% 1.61/0.60 % (13821)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.61/0.60 % (13810)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.61/0.61 % (13809)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.61/0.61 % (13812)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.61/0.62 % (13824)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.61/0.62 % (13835)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.61/0.63 % (13825)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.61/0.63 % (13819)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.61/0.63 % (13832)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.61/0.63 % (13827)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.61/0.63 % (13834)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.61/0.63 % (13831)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.61/0.64 % (13808)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.61/0.64 % (13833)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.61/0.64 % (13829)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.61/0.64 % (13826)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.61/0.64 % (13817)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.61/0.64 % (13830)First to succeed.
% 1.61/0.64 % (13818)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.61/0.65 % (13823)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.61/0.65 % (13816)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.28/0.67 % (13828)Also succeeded, but the first one will report.
% 2.28/0.67 % (13830)Refutation found. Thanks to Tanya!
% 2.28/0.67 % SZS status Theorem for theBenchmark
% 2.28/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.28/0.67 % (13830)------------------------------
% 2.28/0.67 % (13830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.28/0.67 % (13830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.28/0.67 % (13830)Termination reason: Refutation
% 2.28/0.67
% 2.28/0.67 % (13830)Memory used [KB]: 6396
% 2.28/0.67 % (13830)Time elapsed: 0.054 s
% 2.28/0.67 % (13830)Instructions burned: 46 (million)
% 2.28/0.67 % (13830)------------------------------
% 2.28/0.67 % (13830)------------------------------
% 2.28/0.67 % (13806)Success in time 0.311 s
%------------------------------------------------------------------------------