TSTP Solution File: ALG089+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG089+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 : 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 : Wed Aug 31 15:42:32 EDT 2022
% Result : Theorem 1.80s 0.61s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 58 ( 15 unt; 0 def)
% Number of atoms : 593 ( 545 equ)
% Maximal formula atoms : 110 ( 10 avg)
% Number of connectives : 577 ( 42 ~; 195 |; 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(f2602,plain,
$false,
inference(avatar_sat_refutation,[],[f434,f647,f1267,f1715,f1915,f2345,f2425,f2576]) ).
fof(f2576,plain,
~ spl0_44,
inference(avatar_contradiction_clause,[],[f2575]) ).
fof(f2575,plain,
( $false
| ~ spl0_44 ),
inference(subsumption_resolution,[],[f2574,f67]) ).
fof(f67,plain,
e21 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e21 != e23
& e22 != e24
& e21 != e22
& e22 != e23
& e23 != e24
& e20 != e24
& e21 != e24
& e20 != e22
& e20 != e23
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f2574,plain,
( e21 = e22
| ~ spl0_44 ),
inference(forward_demodulation,[],[f2552,f79]) ).
fof(f79,plain,
e22 = op2(e21,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e22 = op2(e23,e24)
& e23 = op2(e23,e20)
& e21 = op2(e20,e21)
& e24 = op2(e20,e24)
& e23 = op2(e20,e23)
& e20 = op2(e21,e23)
& e22 = op2(e24,e23)
& e23 = op2(e21,e24)
& e20 = op2(e24,e24)
& e24 = op2(e21,e22)
& e21 = op2(e22,e24)
& e22 = op2(e22,e20)
& e20 = op2(e20,e20)
& e23 = op2(e24,e21)
& e21 = op2(e24,e22)
& e22 = op2(e21,e21)
& e24 = op2(e23,e21)
& e20 = op2(e23,e22)
& e23 = op2(e22,e22)
& e24 = op2(e22,e23)
& e22 = op2(e20,e22)
& e20 = op2(e22,e21)
& e24 = op2(e24,e20)
& e21 = op2(e21,e20)
& e21 = op2(e23,e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f2552,plain,
( e21 = op2(e21,e21)
| ~ spl0_44 ),
inference(backward_demodulation,[],[f288,f400]) ).
fof(f400,plain,
( e21 = h(e10)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f398,plain,
( spl0_44
<=> e21 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f288,plain,
h(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[],[f119,f17]) ).
fof(f17,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e14 = op1(e12,e11)
& e13 = op1(e11,e12)
& e14 = op1(e11,e13)
& e12 = op1(e14,e13)
& e11 = op1(e12,e13)
& e12 = op1(e12,e10)
& e11 = op1(e14,e12)
& e13 = op1(e12,e14)
& e12 = op1(e13,e11)
& e13 = op1(e13,e10)
& e11 = op1(e13,e14)
& e12 = op1(e11,e14)
& e10 = op1(e14,e14)
& e10 = op1(e12,e12)
& e11 = op1(e11,e10)
& e11 = op1(e10,e11)
& e14 = op1(e14,e10)
& e10 = op1(e10,e10)
& e14 = op1(e13,e12)
& e13 = op1(e14,e11)
& e10 = op1(e11,e11)
& e13 = op1(e10,e13)
& e12 = op1(e10,e12)
& e14 = op1(e10,e14)
& e10 = op1(e13,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f119,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( j(op2(e22,e23)) = op1(j(e22),j(e23))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& ( e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21)
| e13 = j(e21)
| e14 = j(e21) )
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& ( e12 = j(e24)
| e13 = j(e24)
| e10 = j(e24)
| e14 = j(e24)
| e11 = j(e24) )
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& e13 = j(h(e13))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& e21 = h(j(e21))
& ( e10 = j(e20)
| e11 = j(e20)
| e12 = j(e20)
| e14 = j(e20)
| e13 = j(e20) )
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& ( e21 = h(e14)
| e24 = h(e14)
| e20 = h(e14)
| e23 = h(e14)
| e22 = h(e14) )
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& ( e12 = j(e23)
| e14 = j(e23)
| e13 = j(e23)
| e10 = j(e23)
| e11 = j(e23) )
& ( e23 = h(e10)
| e21 = h(e10)
| e20 = h(e10)
| e24 = h(e10)
| e22 = h(e10) )
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& e22 = h(j(e22))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& ( e22 = h(e12)
| e20 = h(e12)
| e21 = h(e12)
| e23 = h(e12)
| e24 = h(e12) )
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& e24 = h(j(e24))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& ( e23 = h(e13)
| e22 = h(e13)
| e20 = h(e13)
| e24 = h(e13)
| e21 = h(e13) )
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& e12 = j(h(e12))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& e14 = j(h(e14))
& e10 = j(h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& ( e12 = j(e22)
| e13 = j(e22)
| e11 = j(e22)
| e10 = j(e22)
| e14 = j(e22) )
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& ( e21 = h(e11)
| e22 = h(e11)
| e23 = h(e11)
| e20 = h(e11)
| e24 = h(e11) )
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& e23 = h(j(e23))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& e11 = j(h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& e20 = h(j(e20)) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( h(op1(e14,e11)) = op2(h(e14),h(e11))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& e22 = h(j(e22))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& e21 = h(j(e21))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& e24 = h(j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& e11 = j(h(e11))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& e10 = j(h(e10))
& e12 = j(h(e12))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& e23 = h(j(e23))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& e14 = j(h(e14))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& e20 = h(j(e20))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& e13 = j(h(e13))
& ( e10 = j(e20)
| e11 = j(e20)
| e12 = j(e20)
| e14 = j(e20)
| e13 = j(e20) )
& ( e12 = j(e22)
| e13 = j(e22)
| e11 = j(e22)
| e10 = j(e22)
| e14 = j(e22) )
& ( e23 = h(e10)
| e21 = h(e10)
| e20 = h(e10)
| e24 = h(e10)
| e22 = h(e10) )
& ( e21 = h(e11)
| e22 = h(e11)
| e23 = h(e11)
| e20 = h(e11)
| e24 = h(e11) )
& ( e12 = j(e24)
| e13 = j(e24)
| e10 = j(e24)
| e14 = j(e24)
| e11 = j(e24) )
& ( e22 = h(e12)
| e20 = h(e12)
| e21 = h(e12)
| e23 = h(e12)
| e24 = h(e12) )
& ( e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21)
| e13 = j(e21)
| e14 = j(e21) )
& ( e23 = h(e13)
| e22 = h(e13)
| e20 = h(e13)
| e24 = h(e13)
| e21 = h(e13) )
& ( e21 = h(e14)
| e24 = h(e14)
| e20 = h(e14)
| e23 = h(e14)
| e22 = h(e14) )
& ( e12 = j(e23)
| e14 = j(e23)
| e13 = j(e23)
| e10 = j(e23)
| e11 = j(e23) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,negated_conjecture,
~ ( ( ( e10 = j(e20)
| e11 = j(e20)
| e12 = j(e20)
| e14 = j(e20)
| e13 = j(e20) )
& ( e12 = j(e22)
| e13 = j(e22)
| e11 = j(e22)
| e10 = j(e22)
| e14 = j(e22) )
& ( e23 = h(e10)
| e21 = h(e10)
| e20 = h(e10)
| e24 = h(e10)
| e22 = h(e10) )
& ( e21 = h(e11)
| e22 = h(e11)
| e23 = h(e11)
| e20 = h(e11)
| e24 = h(e11) )
& ( e12 = j(e24)
| e13 = j(e24)
| e10 = j(e24)
| e14 = j(e24)
| e11 = j(e24) )
& ( e22 = h(e12)
| e20 = h(e12)
| e21 = h(e12)
| e23 = h(e12)
| e24 = h(e12) )
& ( e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21)
| e13 = j(e21)
| e14 = j(e21) )
& ( e23 = h(e13)
| e22 = h(e13)
| e20 = h(e13)
| e24 = h(e13)
| e21 = h(e13) )
& ( e21 = h(e14)
| e24 = h(e14)
| e20 = h(e14)
| e23 = h(e14)
| e22 = h(e14) )
& ( e12 = j(e23)
| e14 = j(e23)
| e13 = j(e23)
| e10 = j(e23)
| e11 = j(e23) ) )
=> ~ ( h(op1(e14,e11)) = op2(h(e14),h(e11))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& e22 = h(j(e22))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& e21 = h(j(e21))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& e24 = h(j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& e11 = j(h(e11))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& e10 = j(h(e10))
& e12 = j(h(e12))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& e23 = h(j(e23))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& e14 = j(h(e14))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& e20 = h(j(e20))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& e13 = j(h(e13)) ) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
( ( ( e10 = j(e20)
| e11 = j(e20)
| e12 = j(e20)
| e14 = j(e20)
| e13 = j(e20) )
& ( e12 = j(e22)
| e13 = j(e22)
| e11 = j(e22)
| e10 = j(e22)
| e14 = j(e22) )
& ( e23 = h(e10)
| e21 = h(e10)
| e20 = h(e10)
| e24 = h(e10)
| e22 = h(e10) )
& ( e21 = h(e11)
| e22 = h(e11)
| e23 = h(e11)
| e20 = h(e11)
| e24 = h(e11) )
& ( e12 = j(e24)
| e13 = j(e24)
| e10 = j(e24)
| e14 = j(e24)
| e11 = j(e24) )
& ( e22 = h(e12)
| e20 = h(e12)
| e21 = h(e12)
| e23 = h(e12)
| e24 = h(e12) )
& ( e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21)
| e13 = j(e21)
| e14 = j(e21) )
& ( e23 = h(e13)
| e22 = h(e13)
| e20 = h(e13)
| e24 = h(e13)
| e21 = h(e13) )
& ( e21 = h(e14)
| e24 = h(e14)
| e20 = h(e14)
| e23 = h(e14)
| e22 = h(e14) )
& ( e12 = j(e23)
| e14 = j(e23)
| e13 = j(e23)
| e10 = j(e23)
| e11 = j(e23) ) )
=> ~ ( h(op1(e14,e11)) = op2(h(e14),h(e11))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& e22 = h(j(e22))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& e21 = h(j(e21))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& e24 = h(j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& e11 = j(h(e11))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& e10 = j(h(e10))
& e12 = j(h(e12))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& e23 = h(j(e23))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& e14 = j(h(e14))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& e20 = h(j(e20))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& e13 = j(h(e13)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f2425,plain,
( spl0_44
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f2424,f368,f398]) ).
fof(f368,plain,
( spl0_38
<=> e10 = j(e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f2424,plain,
( e21 = h(e10)
| ~ spl0_38 ),
inference(forward_demodulation,[],[f162,f370]) ).
fof(f370,plain,
( e10 = j(e21)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f162,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f2345,plain,
( spl0_38
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f2344,f427,f368]) ).
fof(f427,plain,
( spl0_49
<=> e12 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f2344,plain,
( e10 = j(e21)
| ~ spl0_49 ),
inference(forward_demodulation,[],[f2279,f21]) ).
fof(f21,plain,
e10 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f2279,plain,
( op1(e12,e12) = j(e21)
| ~ spl0_49 ),
inference(forward_demodulation,[],[f294,f429]) ).
fof(f429,plain,
( e12 = j(e23)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f294,plain,
j(e21) = op1(j(e23),j(e23)),
inference(forward_demodulation,[],[f117,f70]) ).
fof(f70,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f117,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f1915,plain,
( spl0_38
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f1914,f423,f368]) ).
fof(f423,plain,
( spl0_48
<=> e10 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f1914,plain,
( e10 = j(e21)
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1913,f17]) ).
fof(f1913,plain,
( op1(e10,e10) = j(e21)
| ~ spl0_48 ),
inference(backward_demodulation,[],[f294,f425]) ).
fof(f425,plain,
( e10 = j(e23)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f1715,plain,
( spl0_38
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f1714,f431,f368]) ).
fof(f431,plain,
( spl0_50
<=> e13 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f1714,plain,
( e10 = j(e21)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f1532,f10]) ).
fof(f10,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f1532,plain,
( op1(e13,e13) = j(e21)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f294,f433]) ).
fof(f433,plain,
( e13 = j(e23)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f1267,plain,
( spl0_38
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f1266,f419,f368]) ).
fof(f419,plain,
( spl0_47
<=> e14 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f1266,plain,
( e10 = j(e21)
| ~ spl0_47 ),
inference(forward_demodulation,[],[f1265,f22]) ).
fof(f22,plain,
e10 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f1265,plain,
( op1(e14,e14) = j(e21)
| ~ spl0_47 ),
inference(forward_demodulation,[],[f294,f421]) ).
fof(f421,plain,
( e14 = j(e23)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f647,plain,
( spl0_38
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f646,f415,f368]) ).
fof(f415,plain,
( spl0_46
<=> e11 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f646,plain,
( e10 = j(e21)
| ~ spl0_46 ),
inference(forward_demodulation,[],[f645,f14]) ).
fof(f14,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f645,plain,
( op1(e11,e11) = j(e21)
| ~ spl0_46 ),
inference(forward_demodulation,[],[f294,f417]) ).
fof(f417,plain,
( e11 = j(e23)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f434,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_49
| spl0_50 ),
inference(avatar_split_clause,[],[f155,f431,f427,f423,f419,f415]) ).
fof(f155,plain,
( e13 = j(e23)
| e12 = j(e23)
| e10 = j(e23)
| e14 = j(e23)
| e11 = j(e23) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG089+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % 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 : Mon Aug 29 14:46:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (25389)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)
% 0.19/0.51 % (25381)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)
% 0.19/0.51 % (25375)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (25373)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (25373)Instruction limit reached!
% 0.19/0.52 % (25373)------------------------------
% 0.19/0.52 % (25373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (25373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (25373)Termination reason: Unknown
% 0.19/0.52 % (25373)Termination phase: shuffling
% 0.19/0.52
% 0.19/0.52 % (25373)Memory used [KB]: 895
% 0.19/0.52 % (25373)Time elapsed: 0.002 s
% 0.19/0.52 % (25373)Instructions burned: 2 (million)
% 0.19/0.52 % (25373)------------------------------
% 0.19/0.52 % (25373)------------------------------
% 0.19/0.52 % (25386)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)
% 0.19/0.52 % (25372)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (25367)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)
% 0.19/0.52 % (25369)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (25370)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)
% 0.19/0.52 % (25390)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (25365)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)
% 0.19/0.52 % (25394)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (25384)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (25391)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (25393)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)
% 0.19/0.53 % (25371)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)
% 0.19/0.53 % (25372)Instruction limit reached!
% 0.19/0.53 % (25372)------------------------------
% 0.19/0.53 % (25372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (25372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (25372)Termination reason: Unknown
% 0.19/0.53 % (25372)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (25372)Memory used [KB]: 5628
% 0.19/0.53 % (25372)Time elapsed: 0.092 s
% 0.19/0.53 % (25372)Instructions burned: 7 (million)
% 0.19/0.53 % (25374)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)
% 0.19/0.53 % (25372)------------------------------
% 0.19/0.53 % (25372)------------------------------
% 0.19/0.53 % (25395)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)
% 0.19/0.53 % (25377)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (25376)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)
% 0.19/0.54 % (25387)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (25388)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)
% 0.19/0.54 % (25368)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)
% 0.19/0.54 % (25366)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)
% 0.19/0.54 % (25385)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)
% 0.19/0.54 % (25382)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)
% 0.19/0.54 % (25380)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)
% 0.19/0.55 % (25392)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)
% 0.19/0.55 % (25379)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (25383)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.56 TRYING [10]
% 1.67/0.57 % (25367)Instruction limit reached!
% 1.67/0.57 % (25367)------------------------------
% 1.67/0.57 % (25367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.58 TRYING [10]
% 1.67/0.58 % (25367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.58 % (25367)Termination reason: Unknown
% 1.67/0.58 % (25367)Termination phase: Saturation
% 1.67/0.58
% 1.67/0.58 % (25367)Memory used [KB]: 1279
% 1.67/0.58 % (25367)Time elapsed: 0.146 s
% 1.67/0.58 % (25367)Instructions burned: 39 (million)
% 1.67/0.58 % (25367)------------------------------
% 1.67/0.58 % (25367)------------------------------
% 1.67/0.58 % (25375)Instruction limit reached!
% 1.67/0.58 % (25375)------------------------------
% 1.67/0.58 % (25375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.58 % (25375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.58 % (25375)Termination reason: Unknown
% 1.67/0.58 % (25375)Termination phase: Saturation
% 1.67/0.58
% 1.67/0.58 % (25375)Memory used [KB]: 6268
% 1.67/0.58 % (25375)Time elapsed: 0.026 s
% 1.67/0.58 % (25375)Instructions burned: 50 (million)
% 1.67/0.58 % (25375)------------------------------
% 1.67/0.58 % (25375)------------------------------
% 1.80/0.59 % (25371)Instruction limit reached!
% 1.80/0.59 % (25371)------------------------------
% 1.80/0.59 % (25371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.59 % (25371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.59 % (25371)Termination reason: Unknown
% 1.80/0.59 % (25371)Termination phase: Finite model building constraint generation
% 1.80/0.59
% 1.80/0.59 % (25371)Memory used [KB]: 9978
% 1.80/0.59 % (25371)Time elapsed: 0.178 s
% 1.80/0.59 % (25371)Instructions burned: 52 (million)
% 1.80/0.59 % (25371)------------------------------
% 1.80/0.59 % (25371)------------------------------
% 1.80/0.59 % (25369)Instruction limit reached!
% 1.80/0.59 % (25369)------------------------------
% 1.80/0.59 % (25369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.59 % (25369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.59 % (25369)Termination reason: Unknown
% 1.80/0.59 % (25369)Termination phase: Saturation
% 1.80/0.59
% 1.80/0.59 % (25369)Memory used [KB]: 6268
% 1.80/0.59 % (25369)Time elapsed: 0.049 s
% 1.80/0.59 % (25369)Instructions burned: 51 (million)
% 1.80/0.59 % (25369)------------------------------
% 1.80/0.59 % (25369)------------------------------
% 1.80/0.60 % (25389)First to succeed.
% 1.80/0.60 TRYING [10]
% 1.80/0.61 % (25389)Refutation found. Thanks to Tanya!
% 1.80/0.61 % SZS status Theorem for theBenchmark
% 1.80/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.80/0.61 % (25389)------------------------------
% 1.80/0.61 % (25389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.61 % (25389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.61 % (25389)Termination reason: Refutation
% 1.80/0.61
% 1.80/0.61 % (25389)Memory used [KB]: 6524
% 1.80/0.61 % (25389)Time elapsed: 0.032 s
% 1.80/0.61 % (25389)Instructions burned: 56 (million)
% 1.80/0.61 % (25389)------------------------------
% 1.80/0.61 % (25389)------------------------------
% 1.80/0.61 % (25360)Success in time 0.254 s
%------------------------------------------------------------------------------