TSTP Solution File: ALG182+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG182+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 : n011.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 15:43:23 EDT 2022
% Result : Theorem 2.29s 0.68s
% Output : Refutation 2.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 98 ( 28 unt; 0 def)
% Number of atoms : 679 ( 585 equ)
% Maximal formula atoms : 110 ( 6 avg)
% Number of connectives : 667 ( 86 ~; 227 |; 340 &)
% ( 12 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 6 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1832,plain,
$false,
inference(avatar_sat_refutation,[],[f237,f323,f506,f683,f898,f919,f1057,f1283,f1305,f1503,f1545,f1661,f1684]) ).
fof(f1684,plain,
~ spl0_30,
inference(avatar_contradiction_clause,[],[f1683]) ).
fof(f1683,plain,
( $false
| ~ spl0_30 ),
inference(subsumption_resolution,[],[f1682,f160]) ).
fof(f160,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e11 != e13
& e10 != e12
& e12 != e14
& e13 != e14
& e10 != e13
& e11 != e12
& e12 != e13
& e10 != e14
& e10 != e11
& e11 != e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f1682,plain,
( e10 = e13
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1681,f117]) ).
fof(f117,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e12 = op1(e11,e13)
& e14 = op1(e11,e11)
& e10 = op1(e12,e14)
& e14 = op1(e12,e13)
& e14 = op1(e14,e12)
& e12 = op1(e13,e14)
& e13 = op1(e10,e10)
& e10 = op1(e14,e11)
& e11 = op1(e12,e10)
& e10 = op1(e11,e10)
& e12 = op1(e14,e10)
& e14 = op1(e10,e14)
& e10 = op1(e13,e13)
& e11 = op1(e14,e14)
& e14 = op1(e13,e10)
& e13 = op1(e13,e12)
& e13 = op1(e14,e13)
& e13 = op1(e12,e11)
& e12 = op1(e10,e11)
& e11 = op1(e10,e13)
& e12 = op1(e12,e12)
& e11 = op1(e11,e12)
& e13 = op1(e11,e14)
& e11 = op1(e13,e11)
& e10 = op1(e10,e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f1681,plain,
( e13 = op1(e13,e13)
| ~ spl0_30 ),
inference(forward_demodulation,[],[f298,f322]) ).
fof(f322,plain,
( e13 = j(e20)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f320,plain,
( spl0_30
<=> e13 = j(e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f298,plain,
j(e20) = op1(j(e20),j(e20)),
inference(backward_demodulation,[],[f14,f87]) ).
fof(f87,plain,
e20 = op2(e20,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e24 = op2(e23,e20)
& e23 = op2(e21,e22)
& e20 = op2(e24,e22)
& e21 = op2(e20,e24)
& e21 = op2(e24,e23)
& e21 = op2(e23,e22)
& e21 = op2(e22,e20)
& e20 = op2(e22,e23)
& e21 = op2(e21,e21)
& e23 = op2(e22,e24)
& e24 = op2(e21,e23)
& e24 = op2(e20,e22)
& e24 = op2(e24,e24)
& e22 = op2(e23,e24)
& e22 = op2(e21,e20)
& e23 = op2(e20,e21)
& e23 = op2(e24,e20)
& e20 = op2(e20,e20)
& e20 = op2(e23,e21)
& e23 = op2(e23,e23)
& e24 = op2(e22,e21)
& e20 = op2(e21,e24)
& e22 = op2(e24,e21)
& e22 = op2(e22,e22)
& e22 = op2(e20,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f14,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( h(op1(e10,e12)) = op2(h(e10),h(e12))
& e10 = j(h(e10))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& e24 = h(j(e24))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& ( e13 = j(e24)
| e14 = j(e24)
| e11 = j(e24)
| e10 = j(e24)
| e12 = j(e24) )
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& ( e23 = h(e10)
| e22 = h(e10)
| e24 = h(e10)
| e21 = h(e10)
| e20 = h(e10) )
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& ( e10 = j(e22)
| e11 = j(e22)
| e13 = j(e22)
| e14 = j(e22)
| e12 = j(e22) )
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& ( e23 = h(e11)
| e21 = h(e11)
| e20 = h(e11)
| e24 = h(e11)
| e22 = h(e11) )
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& ( e10 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e14 = j(e20)
| e11 = j(e20) )
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& ( e10 = j(e21)
| e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21) )
& e12 = j(h(e12))
& e21 = h(j(e21))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& ( e13 = j(e23)
| e12 = j(e23)
| e10 = j(e23)
| e11 = j(e23)
| e14 = j(e23) )
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& e22 = h(j(e22))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& ( e22 = h(e14)
| e21 = h(e14)
| e23 = h(e14)
| e20 = h(e14)
| e24 = h(e14) )
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& e11 = j(h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& e23 = h(j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& e14 = j(h(e14))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& e13 = j(h(e13))
& ( e21 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e20 = h(e12)
| e24 = h(e12) )
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& ( e21 = h(e13)
| e24 = h(e13)
| e22 = h(e13)
| e20 = h(e13)
| e23 = h(e13) )
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& e20 = h(j(e20)) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& e13 = j(h(e13))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& e14 = j(h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& e11 = j(h(e11))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& e20 = h(j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& e12 = j(h(e12))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& e23 = h(j(e23))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& e10 = j(h(e10))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& e24 = h(j(e24))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& e22 = h(j(e22))
& e21 = h(j(e21))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& ( e13 = j(e24)
| e14 = j(e24)
| e11 = j(e24)
| e10 = j(e24)
| e12 = j(e24) )
& ( e10 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e14 = j(e20)
| e11 = j(e20) )
& ( e21 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e20 = h(e12)
| e24 = h(e12) )
& ( e13 = j(e23)
| e12 = j(e23)
| e10 = j(e23)
| e11 = j(e23)
| e14 = j(e23) )
& ( e23 = h(e10)
| e22 = h(e10)
| e24 = h(e10)
| e21 = h(e10)
| e20 = h(e10) )
& ( e22 = h(e14)
| e21 = h(e14)
| e23 = h(e14)
| e20 = h(e14)
| e24 = h(e14) )
& ( e10 = j(e22)
| e11 = j(e22)
| e13 = j(e22)
| e14 = j(e22)
| e12 = j(e22) )
& ( e10 = j(e21)
| e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21) )
& ( e21 = h(e13)
| e24 = h(e13)
| e22 = h(e13)
| e20 = h(e13)
| e23 = h(e13) )
& ( e23 = h(e11)
| e21 = h(e11)
| e20 = h(e11)
| e24 = h(e11)
| e22 = h(e11) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,negated_conjecture,
~ ( ( ( e13 = j(e24)
| e14 = j(e24)
| e11 = j(e24)
| e10 = j(e24)
| e12 = j(e24) )
& ( e10 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e14 = j(e20)
| e11 = j(e20) )
& ( e21 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e20 = h(e12)
| e24 = h(e12) )
& ( e13 = j(e23)
| e12 = j(e23)
| e10 = j(e23)
| e11 = j(e23)
| e14 = j(e23) )
& ( e23 = h(e10)
| e22 = h(e10)
| e24 = h(e10)
| e21 = h(e10)
| e20 = h(e10) )
& ( e22 = h(e14)
| e21 = h(e14)
| e23 = h(e14)
| e20 = h(e14)
| e24 = h(e14) )
& ( e10 = j(e22)
| e11 = j(e22)
| e13 = j(e22)
| e14 = j(e22)
| e12 = j(e22) )
& ( e10 = j(e21)
| e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21) )
& ( e21 = h(e13)
| e24 = h(e13)
| e22 = h(e13)
| e20 = h(e13)
| e23 = h(e13) )
& ( e23 = h(e11)
| e21 = h(e11)
| e20 = h(e11)
| e24 = h(e11)
| e22 = h(e11) ) )
=> ~ ( h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& e13 = j(h(e13))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& e14 = j(h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& e11 = j(h(e11))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& e20 = h(j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& e12 = j(h(e12))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& e23 = h(j(e23))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& e10 = j(h(e10))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& e24 = h(j(e24))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& e22 = h(j(e22))
& e21 = h(j(e21))
& h(op1(e10,e11)) = op2(h(e10),h(e11)) ) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
( ( ( e13 = j(e24)
| e14 = j(e24)
| e11 = j(e24)
| e10 = j(e24)
| e12 = j(e24) )
& ( e10 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e14 = j(e20)
| e11 = j(e20) )
& ( e21 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e20 = h(e12)
| e24 = h(e12) )
& ( e13 = j(e23)
| e12 = j(e23)
| e10 = j(e23)
| e11 = j(e23)
| e14 = j(e23) )
& ( e23 = h(e10)
| e22 = h(e10)
| e24 = h(e10)
| e21 = h(e10)
| e20 = h(e10) )
& ( e22 = h(e14)
| e21 = h(e14)
| e23 = h(e14)
| e20 = h(e14)
| e24 = h(e14) )
& ( e10 = j(e22)
| e11 = j(e22)
| e13 = j(e22)
| e14 = j(e22)
| e12 = j(e22) )
& ( e10 = j(e21)
| e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21) )
& ( e21 = h(e13)
| e24 = h(e13)
| e22 = h(e13)
| e20 = h(e13)
| e23 = h(e13) )
& ( e23 = h(e11)
| e21 = h(e11)
| e20 = h(e11)
| e24 = h(e11)
| e22 = h(e11) ) )
=> ~ ( h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& e13 = j(h(e13))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& e14 = j(h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& e11 = j(h(e11))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& e20 = h(j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& e12 = j(h(e12))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& e23 = h(j(e23))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& e10 = j(h(e10))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& e24 = h(j(e24))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& e22 = h(j(e22))
& e21 = h(j(e21))
& h(op1(e10,e11)) = op2(h(e10),h(e11)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f1661,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f1660]) ).
fof(f1660,plain,
( $false
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f1659,f160]) ).
fof(f1659,plain,
( e10 = e13
| ~ spl0_15 ),
inference(forward_demodulation,[],[f1658,f117]) ).
fof(f1658,plain,
( e13 = op1(e13,e13)
| ~ spl0_15 ),
inference(forward_demodulation,[],[f267,f236]) ).
fof(f236,plain,
( e13 = j(e23)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl0_15
<=> e13 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f267,plain,
j(e23) = op1(j(e23),j(e23)),
inference(backward_demodulation,[],[f33,f85]) ).
fof(f85,plain,
e23 = op2(e23,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f33,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f1545,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f1544]) ).
fof(f1544,plain,
( $false
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f1543,f155]) ).
fof(f155,plain,
e11 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f1543,plain,
( e11 = e14
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1542,f116]) ).
fof(f116,plain,
e11 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f1542,plain,
( e14 = op1(e14,e14)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f267,f224]) ).
fof(f224,plain,
( e14 = j(e23)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl0_12
<=> e14 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1503,plain,
~ spl0_29,
inference(avatar_contradiction_clause,[],[f1502]) ).
fof(f1502,plain,
( $false
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f1501,f160]) ).
fof(f1501,plain,
( e10 = e13
| ~ spl0_29 ),
inference(forward_demodulation,[],[f123,f1439]) ).
fof(f1439,plain,
( e10 = op1(e10,e10)
| ~ spl0_29 ),
inference(backward_demodulation,[],[f298,f318]) ).
fof(f318,plain,
( e10 = j(e20)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f316,plain,
( spl0_29
<=> e10 = j(e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f123,plain,
e13 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f1305,plain,
~ spl0_28,
inference(avatar_contradiction_clause,[],[f1304]) ).
fof(f1304,plain,
( $false
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f1303,f155]) ).
fof(f1303,plain,
( e11 = e14
| ~ spl0_28 ),
inference(backward_demodulation,[],[f128,f1292]) ).
fof(f1292,plain,
( e11 = op1(e11,e11)
| ~ spl0_28 ),
inference(backward_demodulation,[],[f298,f314]) ).
fof(f314,plain,
( e11 = j(e20)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f312,plain,
( spl0_28
<=> e11 = j(e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f128,plain,
e14 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f1283,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f1282]) ).
fof(f1282,plain,
( $false
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f1281,f160]) ).
fof(f1281,plain,
( e10 = e13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f123,f1280]) ).
fof(f1280,plain,
( e10 = op1(e10,e10)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f267,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(f1057,plain,
~ spl0_27,
inference(avatar_contradiction_clause,[],[f1056]) ).
fof(f1056,plain,
( $false
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f1055,f155]) ).
fof(f1055,plain,
( e11 = e14
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1054,f116]) ).
fof(f1054,plain,
( e14 = op1(e14,e14)
| ~ spl0_27 ),
inference(forward_demodulation,[],[f298,f310]) ).
fof(f310,plain,
( e14 = j(e20)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f308,plain,
( spl0_27
<=> e14 = j(e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f919,plain,
( ~ spl0_32
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f918]) ).
fof(f918,plain,
( $false
| ~ spl0_32
| ~ spl0_43 ),
inference(subsumption_resolution,[],[f917,f173]) ).
fof(f173,plain,
e20 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e20 != e24
& e20 != e22
& e21 != e22
& e20 != e23
& e22 != e23
& e22 != e24
& e23 != e24
& e21 != e23
& e20 != e21
& e21 != e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f917,plain,
( e20 = e22
| ~ spl0_32
| ~ spl0_43 ),
inference(forward_demodulation,[],[f916,f331]) ).
fof(f331,plain,
( e20 = h(e12)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f329,plain,
( spl0_32
<=> e20 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f916,plain,
( e22 = h(e12)
| ~ spl0_43 ),
inference(forward_demodulation,[],[f39,f383]) ).
fof(f383,plain,
( e12 = j(e22)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f381,plain,
( spl0_43
<=> e12 = j(e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f39,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f898,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f897]) ).
fof(f897,plain,
( $false
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f896,f155]) ).
fof(f896,plain,
( e11 = e14
| ~ spl0_13 ),
inference(backward_demodulation,[],[f128,f895]) ).
fof(f895,plain,
( e11 = op1(e11,e11)
| ~ spl0_13 ),
inference(forward_demodulation,[],[f267,f228]) ).
fof(f228,plain,
( e11 = j(e23)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl0_13
<=> e11 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f683,plain,
( spl0_43
| ~ spl0_11
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f682,f304,f218,f381]) ).
fof(f218,plain,
( spl0_11
<=> e12 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f304,plain,
( spl0_26
<=> e12 = j(e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f682,plain,
( e12 = j(e22)
| ~ spl0_11
| ~ spl0_26 ),
inference(backward_demodulation,[],[f676,f109]) ).
fof(f109,plain,
e12 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f676,plain,
( op1(e12,e12) = j(e22)
| ~ spl0_11
| ~ spl0_26 ),
inference(forward_demodulation,[],[f675,f306]) ).
fof(f306,plain,
( e12 = j(e20)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f675,plain,
( j(e22) = op1(j(e20),e12)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f420,f220]) ).
fof(f220,plain,
( e12 = j(e23)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f420,plain,
j(e22) = op1(j(e20),j(e23)),
inference(forward_demodulation,[],[f50,f80]) ).
fof(f80,plain,
e22 = op2(e20,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f50,plain,
j(op2(e20,e23)) = op1(j(e20),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f506,plain,
( spl0_32
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f491,f304,f329]) ).
fof(f491,plain,
( e20 = h(e12)
| ~ spl0_26 ),
inference(backward_demodulation,[],[f10,f306]) ).
fof(f10,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f323,plain,
( spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f55,f320,f316,f312,f308,f304]) ).
fof(f55,plain,
( e13 = j(e20)
| e10 = j(e20)
| e11 = j(e20)
| e14 = j(e20)
| e12 = j(e20) ),
inference(cnf_transformation,[],[f9]) ).
fof(f237,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f42,f234,f230,f226,f222,f218]) ).
fof(f42,plain,
( e13 = j(e23)
| e10 = j(e23)
| e11 = j(e23)
| e14 = j(e23)
| e12 = j(e23) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG182+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 : n011.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 14:54:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.62/0.58 % (21079)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)
% 1.62/0.58 % (21071)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.62/0.58 % (21051)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)
% 1.62/0.59 % (21060)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.62/0.59 % (21059)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)
% 1.62/0.60 % (21058)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.62/0.60 % (21070)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)
% 1.62/0.60 % (21058)Instruction limit reached!
% 1.62/0.60 % (21058)------------------------------
% 1.62/0.60 % (21058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.60 % (21058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.60 % (21058)Termination reason: Unknown
% 1.62/0.60 % (21058)Termination phase: Property scanning
% 1.62/0.60
% 1.62/0.60 % (21058)Memory used [KB]: 1023
% 1.62/0.60 % (21058)Time elapsed: 0.003 s
% 1.62/0.60 % (21058)Instructions burned: 3 (million)
% 1.62/0.60 % (21058)------------------------------
% 1.62/0.60 % (21058)------------------------------
% 1.62/0.60 % (21067)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.62/0.60 % (21062)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.62/0.60 % (21073)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)
% 1.62/0.60 % (21061)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)
% 1.62/0.60 % (21052)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)
% 1.62/0.61 % (21050)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)
% 1.62/0.61 % (21057)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.62/0.62 % (21054)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.62/0.62 % (21065)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)
% 1.62/0.62 % (21074)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.62/0.62 % (21053)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)
% 1.62/0.62 % (21055)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)
% 1.62/0.62 % (21078)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.62/0.63 % (21069)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)
% 1.62/0.63 % (21077)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)
% 1.62/0.64 % (21068)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.62/0.64 % (21057)Instruction limit reached!
% 1.62/0.64 % (21057)------------------------------
% 1.62/0.64 % (21057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.64 % (21057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.64 % (21057)Termination reason: Unknown
% 1.62/0.64 % (21057)Termination phase: Saturation
% 1.62/0.64
% 1.62/0.64 % (21057)Memory used [KB]: 5628
% 1.62/0.64 % (21057)Time elapsed: 0.153 s
% 1.62/0.64 % (21057)Instructions burned: 8 (million)
% 1.62/0.64 % (21057)------------------------------
% 1.62/0.64 % (21057)------------------------------
% 1.62/0.64 % (21066)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)
% 1.62/0.64 % (21076)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)
% 1.62/0.65 % (21064)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)
% 1.62/0.65 % (21056)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)
% 1.62/0.66 % (21071)First to succeed.
% 2.29/0.66 TRYING [10]
% 2.29/0.66 TRYING [10]
% 2.29/0.67 % (21072)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)
% 2.29/0.67 % (21052)Instruction limit reached!
% 2.29/0.67 % (21052)------------------------------
% 2.29/0.67 % (21052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.68 % (21052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.68 % (21052)Termination reason: Unknown
% 2.29/0.68 % (21052)Termination phase: Saturation
% 2.29/0.68
% 2.29/0.68 % (21052)Memory used [KB]: 1279
% 2.29/0.68 % (21052)Time elapsed: 0.233 s
% 2.29/0.68 % (21052)Instructions burned: 37 (million)
% 2.29/0.68 % (21052)------------------------------
% 2.29/0.68 % (21052)------------------------------
% 2.29/0.68 % (21071)Refutation found. Thanks to Tanya!
% 2.29/0.68 % SZS status Theorem for theBenchmark
% 2.29/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.29/0.68 % (21071)------------------------------
% 2.29/0.68 % (21071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.68 % (21071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.68 % (21071)Termination reason: Refutation
% 2.29/0.68
% 2.29/0.68 % (21071)Memory used [KB]: 6268
% 2.29/0.68 % (21071)Time elapsed: 0.037 s
% 2.29/0.68 % (21071)Instructions burned: 41 (million)
% 2.29/0.68 % (21071)------------------------------
% 2.29/0.68 % (21071)------------------------------
% 2.29/0.68 % (21049)Success in time 0.321 s
%------------------------------------------------------------------------------