TSTP Solution File: ALG087+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG087+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 : n020.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 15:42:32 EDT 2022
% Result : Theorem 0.18s 0.59s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 83 ( 22 unt; 0 def)
% Number of atoms : 639 ( 564 equ)
% Maximal formula atoms : 110 ( 7 avg)
% Number of connectives : 613 ( 57 ~; 213 |; 331 &)
% ( 10 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 6 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(f2241,plain,
$false,
inference(avatar_sat_refutation,[],[f371,f450,f577,f701,f761,f802,f834,f1127,f1339,f1670,f2018]) ).
fof(f2018,plain,
( ~ spl0_14
| spl0_47 ),
inference(avatar_contradiction_clause,[],[f2017]) ).
fof(f2017,plain,
( $false
| ~ spl0_14
| spl0_47 ),
inference(subsumption_resolution,[],[f1997,f415]) ).
fof(f415,plain,
( e23 != h(e10)
| spl0_47 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f414,plain,
( spl0_47
<=> e23 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f1997,plain,
( e23 = h(e10)
| ~ spl0_14 ),
inference(backward_demodulation,[],[f93,f232]) ).
fof(f232,plain,
( e10 = j(e23)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f230,plain,
( spl0_14
<=> e10 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f93,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& ( e11 = j(e23)
| e12 = j(e23)
| e13 = j(e23)
| e10 = j(e23)
| e14 = j(e23) )
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& e24 = h(j(e24))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& e20 = h(j(e20))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& e11 = j(h(e11))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& ( e21 = h(e13)
| e22 = h(e13)
| e20 = h(e13)
| e23 = h(e13)
| e24 = h(e13) )
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& ( e11 = j(e22)
| e10 = j(e22)
| e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22) )
& ( e11 = j(e24)
| e10 = j(e24)
| e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24) )
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& e13 = j(h(e13))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& e21 = h(j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& ( e24 = h(e14)
| e21 = h(e14)
| e20 = h(e14)
| e22 = h(e14)
| e23 = h(e14) )
& e14 = j(h(e14))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& e23 = h(j(e23))
& ( e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20)
| e14 = j(e20)
| e13 = j(e20) )
& ( e20 = h(e10)
| e21 = h(e10)
| e23 = h(e10)
| e24 = h(e10)
| e22 = h(e10) )
& ( e13 = j(e21)
| e10 = j(e21)
| e11 = j(e21)
| e14 = j(e21)
| e12 = j(e21) )
& ( e23 = h(e12)
| e21 = h(e12)
| e24 = h(e12)
| e20 = h(e12)
| e22 = h(e12) )
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& e10 = j(h(e10))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& ( e23 = h(e11)
| e24 = h(e11)
| e21 = h(e11)
| e20 = h(e11)
| e22 = h(e11) )
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& e12 = j(h(e12))
& e22 = h(j(e22)) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( e21 = h(j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& e24 = h(j(e24))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& e20 = h(j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& e23 = h(j(e23))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& e14 = j(h(e14))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& e12 = j(h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& e22 = h(j(e22))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& e13 = j(h(e13))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& e11 = j(h(e11))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& e10 = j(h(e10))
& ( e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20)
| e14 = j(e20)
| e13 = j(e20) )
& ( e24 = h(e14)
| e21 = h(e14)
| e20 = h(e14)
| e22 = h(e14)
| e23 = h(e14) )
& ( e11 = j(e24)
| e10 = j(e24)
| e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24) )
& ( e13 = j(e21)
| e10 = j(e21)
| e11 = j(e21)
| e14 = j(e21)
| e12 = j(e21) )
& ( e11 = j(e23)
| e12 = j(e23)
| e13 = j(e23)
| e10 = j(e23)
| e14 = j(e23) )
& ( e21 = h(e13)
| e22 = h(e13)
| e20 = h(e13)
| e23 = h(e13)
| e24 = h(e13) )
& ( e11 = j(e22)
| e10 = j(e22)
| e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22) )
& ( e23 = h(e11)
| e24 = h(e11)
| e21 = h(e11)
| e20 = h(e11)
| e22 = h(e11) )
& ( e23 = h(e12)
| e21 = h(e12)
| e24 = h(e12)
| e20 = h(e12)
| e22 = h(e12) )
& ( e20 = h(e10)
| e21 = h(e10)
| e23 = h(e10)
| e24 = h(e10)
| e22 = h(e10) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,negated_conjecture,
~ ( ( ( e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20)
| e14 = j(e20)
| e13 = j(e20) )
& ( e24 = h(e14)
| e21 = h(e14)
| e20 = h(e14)
| e22 = h(e14)
| e23 = h(e14) )
& ( e11 = j(e24)
| e10 = j(e24)
| e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24) )
& ( e13 = j(e21)
| e10 = j(e21)
| e11 = j(e21)
| e14 = j(e21)
| e12 = j(e21) )
& ( e11 = j(e23)
| e12 = j(e23)
| e13 = j(e23)
| e10 = j(e23)
| e14 = j(e23) )
& ( e21 = h(e13)
| e22 = h(e13)
| e20 = h(e13)
| e23 = h(e13)
| e24 = h(e13) )
& ( e11 = j(e22)
| e10 = j(e22)
| e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22) )
& ( e23 = h(e11)
| e24 = h(e11)
| e21 = h(e11)
| e20 = h(e11)
| e22 = h(e11) )
& ( e23 = h(e12)
| e21 = h(e12)
| e24 = h(e12)
| e20 = h(e12)
| e22 = h(e12) )
& ( e20 = h(e10)
| e21 = h(e10)
| e23 = h(e10)
| e24 = h(e10)
| e22 = h(e10) ) )
=> ~ ( e21 = h(j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& e24 = h(j(e24))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& e20 = h(j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& e23 = h(j(e23))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& e14 = j(h(e14))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& e12 = j(h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& e22 = h(j(e22))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& e13 = j(h(e13))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& e11 = j(h(e11))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& e10 = j(h(e10)) ) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
( ( ( e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20)
| e14 = j(e20)
| e13 = j(e20) )
& ( e24 = h(e14)
| e21 = h(e14)
| e20 = h(e14)
| e22 = h(e14)
| e23 = h(e14) )
& ( e11 = j(e24)
| e10 = j(e24)
| e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24) )
& ( e13 = j(e21)
| e10 = j(e21)
| e11 = j(e21)
| e14 = j(e21)
| e12 = j(e21) )
& ( e11 = j(e23)
| e12 = j(e23)
| e13 = j(e23)
| e10 = j(e23)
| e14 = j(e23) )
& ( e21 = h(e13)
| e22 = h(e13)
| e20 = h(e13)
| e23 = h(e13)
| e24 = h(e13) )
& ( e11 = j(e22)
| e10 = j(e22)
| e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22) )
& ( e23 = h(e11)
| e24 = h(e11)
| e21 = h(e11)
| e20 = h(e11)
| e22 = h(e11) )
& ( e23 = h(e12)
| e21 = h(e12)
| e24 = h(e12)
| e20 = h(e12)
| e22 = h(e12) )
& ( e20 = h(e10)
| e21 = h(e10)
| e23 = h(e10)
| e24 = h(e10)
| e22 = h(e10) ) )
=> ~ ( e21 = h(j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& e24 = h(j(e24))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& e20 = h(j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& e23 = h(j(e23))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& e14 = j(h(e14))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& e12 = j(h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& e22 = h(j(e22))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& e13 = j(h(e13))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& e11 = j(h(e11))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& e10 = j(h(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f1670,plain,
( spl0_14
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1669,f368,f230]) ).
fof(f368,plain,
( spl0_40
<=> e10 = j(e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f1669,plain,
( e10 = j(e23)
| ~ spl0_40 ),
inference(forward_demodulation,[],[f1668,f59]) ).
fof(f59,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e10 = op1(e10,e10)
& e12 = op1(e10,e12)
& e11 = op1(e14,e12)
& e10 = op1(e13,e13)
& e13 = op1(e14,e11)
& e13 = op1(e11,e12)
& e14 = op1(e11,e13)
& e14 = op1(e12,e11)
& e12 = op1(e11,e14)
& e11 = op1(e11,e10)
& e13 = op1(e10,e13)
& e13 = op1(e12,e14)
& e12 = op1(e13,e11)
& e10 = op1(e11,e11)
& e12 = op1(e12,e10)
& e11 = op1(e10,e11)
& e10 = op1(e14,e14)
& e12 = op1(e14,e13)
& e14 = op1(e13,e12)
& e11 = op1(e12,e13)
& e13 = op1(e13,e10)
& e14 = op1(e10,e14)
& e10 = op1(e12,e12)
& e11 = op1(e13,e14)
& e14 = op1(e14,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f1668,plain,
( op1(e10,e10) = j(e23)
| ~ spl0_40 ),
inference(forward_demodulation,[],[f260,f370]) ).
fof(f370,plain,
( e10 = j(e22)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f260,plain,
j(e23) = op1(j(e22),j(e22)),
inference(backward_demodulation,[],[f95,f161]) ).
fof(f161,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e23 = op2(e21,e24)
& e22 = op2(e23,e21)
& e22 = op2(e21,e23)
& e23 = op2(e22,e22)
& e22 = op2(e22,e20)
& e22 = op2(e20,e22)
& e20 = op2(e24,e22)
& e20 = op2(e20,e20)
& e21 = op2(e20,e21)
& e24 = op2(e20,e24)
& e21 = op2(e22,e24)
& e24 = op2(e22,e21)
& e20 = op2(e22,e23)
& e20 = op2(e23,e24)
& e23 = op2(e20,e23)
& e21 = op2(e21,e20)
& e24 = op2(e21,e22)
& e24 = op2(e23,e23)
& e24 = op2(e24,e20)
& e23 = op2(e24,e21)
& e20 = op2(e21,e21)
& e22 = op2(e24,e24)
& e21 = op2(e23,e22)
& e21 = op2(e24,e23)
& e23 = op2(e23,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f95,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f1339,plain,
( spl0_17
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1338]) ).
fof(f1338,plain,
( $false
| spl0_17
| ~ spl0_39 ),
inference(subsumption_resolution,[],[f1337,f244]) ).
fof(f244,plain,
( e22 != h(e13)
| spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl0_17
<=> e22 = h(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1337,plain,
( e22 = h(e13)
| ~ spl0_39 ),
inference(forward_demodulation,[],[f70,f366]) ).
fof(f366,plain,
( e13 = j(e22)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f364,plain,
( spl0_39
<=> e13 = j(e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f70,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f1127,plain,
( ~ spl0_38
| spl0_41 ),
inference(avatar_contradiction_clause,[],[f1126]) ).
fof(f1126,plain,
( $false
| ~ spl0_38
| spl0_41 ),
inference(subsumption_resolution,[],[f1125,f385]) ).
fof(f385,plain,
( e22 != h(e11)
| spl0_41 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f384,plain,
( spl0_41
<=> e22 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f1125,plain,
( e22 = h(e11)
| ~ spl0_38 ),
inference(forward_demodulation,[],[f70,f362]) ).
fof(f362,plain,
( e11 = j(e22)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f360,plain,
( spl0_38
<=> e11 = j(e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f834,plain,
~ spl0_47,
inference(avatar_contradiction_clause,[],[f833]) ).
fof(f833,plain,
( $false
| ~ spl0_47 ),
inference(subsumption_resolution,[],[f832,f62]) ).
fof(f62,plain,
e23 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e22 != e23
& e20 != e23
& e20 != e24
& e21 != e22
& e22 != e24
& e20 != e22
& e20 != e21
& e23 != e24
& e21 != e24
& e21 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f832,plain,
( e23 = e24
| ~ spl0_47 ),
inference(forward_demodulation,[],[f827,f147]) ).
fof(f147,plain,
e24 = op2(e23,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f827,plain,
( e23 = op2(e23,e23)
| ~ spl0_47 ),
inference(backward_demodulation,[],[f265,f416]) ).
fof(f416,plain,
( e23 = h(e10)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f265,plain,
h(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[],[f123,f59]) ).
fof(f123,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f802,plain,
( spl0_14
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f801,f356,f230]) ).
fof(f356,plain,
( spl0_37
<=> e12 = j(e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f801,plain,
( e10 = j(e23)
| ~ spl0_37 ),
inference(forward_demodulation,[],[f800,f37]) ).
fof(f37,plain,
e10 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f800,plain,
( op1(e12,e12) = j(e23)
| ~ spl0_37 ),
inference(forward_demodulation,[],[f260,f358]) ).
fof(f358,plain,
( e12 = j(e22)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f761,plain,
( spl0_47
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f760,f243,f414]) ).
fof(f760,plain,
( e23 = h(e10)
| ~ spl0_17 ),
inference(forward_demodulation,[],[f759,f161]) ).
fof(f759,plain,
( op2(e22,e22) = h(e10)
| ~ spl0_17 ),
inference(forward_demodulation,[],[f340,f245]) ).
fof(f245,plain,
( e22 = h(e13)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f340,plain,
h(e10) = op2(h(e13),h(e13)),
inference(forward_demodulation,[],[f88,f56]) ).
fof(f56,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f88,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f701,plain,
( spl0_47
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f700,f201,f414]) ).
fof(f201,plain,
( spl0_7
<=> e22 = h(e14) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f700,plain,
( e23 = h(e10)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f695,f161]) ).
fof(f695,plain,
( op2(e22,e22) = h(e10)
| ~ spl0_7 ),
inference(backward_demodulation,[],[f313,f203]) ).
fof(f203,plain,
( e22 = h(e14)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f313,plain,
h(e10) = op2(h(e14),h(e14)),
inference(forward_demodulation,[],[f82,f43]) ).
fof(f43,plain,
e10 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f82,plain,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f577,plain,
( spl0_47
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f576,f384,f414]) ).
fof(f576,plain,
( e23 = h(e10)
| ~ spl0_41 ),
inference(forward_demodulation,[],[f564,f161]) ).
fof(f564,plain,
( op2(e22,e22) = h(e10)
| ~ spl0_41 ),
inference(backward_demodulation,[],[f314,f386]) ).
fof(f386,plain,
( e22 = h(e11)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f314,plain,
h(e10) = op2(h(e11),h(e11)),
inference(forward_demodulation,[],[f107,f46]) ).
fof(f46,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f107,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f450,plain,
( spl0_7
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f435,f352,f201]) ).
fof(f352,plain,
( spl0_36
<=> e14 = j(e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f435,plain,
( e22 = h(e14)
| ~ spl0_36 ),
inference(backward_demodulation,[],[f70,f354]) ).
fof(f354,plain,
( e14 = j(e22)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f371,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f111,f368,f364,f360,f356,f352]) ).
fof(f111,plain,
( e10 = j(e22)
| e13 = j(e22)
| e11 = j(e22)
| e12 = j(e22)
| e14 = j(e22) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG087+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 14:56:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.49 % (20391)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)
% 0.18/0.49 % (20374)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)
% 0.18/0.49 % (20375)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49 % (20375)Instruction limit reached!
% 0.18/0.49 % (20375)------------------------------
% 0.18/0.49 % (20375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (20383)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)
% 0.18/0.50 % (20375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (20375)Termination reason: Unknown
% 0.18/0.50 % (20375)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (20375)Memory used [KB]: 5628
% 0.18/0.50 % (20375)Time elapsed: 0.095 s
% 0.18/0.50 % (20375)Instructions burned: 7 (million)
% 0.18/0.50 % (20375)------------------------------
% 0.18/0.50 % (20375)------------------------------
% 0.18/0.50 % (20382)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)
% 0.18/0.50 % (20373)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)
% 0.18/0.50 % (20390)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)
% 0.18/0.50 % (20389)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.51 % (20381)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.51 % (20377)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)
% 0.18/0.52 % (20376)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52 % (20392)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.52 % (20372)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53 % (20397)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)
% 0.18/0.53 % (20370)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)
% 0.18/0.53 % (20369)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)
% 0.18/0.53 TRYING [10]
% 0.18/0.53 % (20396)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53 % (20378)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53 % (20384)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)
% 0.18/0.53 % (20379)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)
% 0.18/0.54 % (20376)Instruction limit reached!
% 0.18/0.54 % (20376)------------------------------
% 0.18/0.54 % (20376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (20376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (20376)Termination reason: Unknown
% 0.18/0.54 % (20376)Termination phase: Property scanning
% 0.18/0.54
% 0.18/0.54 % (20376)Memory used [KB]: 1023
% 0.18/0.54 % (20376)Time elapsed: 0.003 s
% 0.18/0.54 % (20376)Instructions burned: 2 (million)
% 0.18/0.54 % (20376)------------------------------
% 0.18/0.54 % (20376)------------------------------
% 0.18/0.54 % (20368)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)
% 0.18/0.54 % (20380)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.54 % (20393)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.55 % (20385)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.55 % (20371)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)
% 0.18/0.55 % (20374)Instruction limit reached!
% 0.18/0.55 % (20374)------------------------------
% 0.18/0.55 % (20374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (20374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (20374)Termination reason: Unknown
% 0.18/0.56 % (20374)Termination phase: Finite model building constraint generation
% 0.18/0.56
% 0.18/0.56 % (20374)Memory used [KB]: 9978
% 0.18/0.56 % (20374)Time elapsed: 0.143 s
% 0.18/0.56 % (20374)Instructions burned: 53 (million)
% 0.18/0.56 % (20374)------------------------------
% 0.18/0.56 % (20374)------------------------------
% 0.18/0.56 % (20394)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)
% 0.18/0.56 % (20388)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)
% 0.18/0.57 TRYING [10]
% 0.18/0.57 % (20386)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.57 % (20395)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)
% 0.18/0.58 % (20387)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)
% 0.18/0.58 % (20391)First to succeed.
% 0.18/0.58 % (20389)Also succeeded, but the first one will report.
% 0.18/0.59 % (20391)Refutation found. Thanks to Tanya!
% 0.18/0.59 % SZS status Theorem for theBenchmark
% 0.18/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.59 % (20391)------------------------------
% 0.18/0.59 % (20391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.59 % (20391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.59 % (20391)Termination reason: Refutation
% 0.18/0.59
% 0.18/0.59 % (20391)Memory used [KB]: 6396
% 0.18/0.59 % (20391)Time elapsed: 0.054 s
% 0.18/0.59 % (20391)Instructions burned: 45 (million)
% 0.18/0.59 % (20391)------------------------------
% 0.18/0.59 % (20391)------------------------------
% 0.18/0.59 % (20367)Success in time 0.246 s
%------------------------------------------------------------------------------