TSTP Solution File: ALG184+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG184+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 : n002.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 2.15s 0.65s
% Output : Refutation 2.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 88 ( 24 unt; 0 def)
% Number of atoms : 660 ( 576 equ)
% Maximal formula atoms : 110 ( 7 avg)
% Number of connectives : 650 ( 78 ~; 219 |; 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(f1874,plain,
$false,
inference(avatar_sat_refutation,[],[f282,f376,f471,f686,f912,f921,f1261,f1356,f1509,f1546,f1670,f1810]) ).
fof(f1810,plain,
~ spl0_40,
inference(avatar_contradiction_clause,[],[f1809]) ).
fof(f1809,plain,
( $false
| ~ spl0_40 ),
inference(subsumption_resolution,[],[f1808,f115]) ).
fof(f115,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e12 != e13
& e12 != e14
& e10 != e13
& e10 != e12
& e13 != e14
& e10 != e11
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f1808,plain,
( e10 = e14
| ~ spl0_40 ),
inference(forward_demodulation,[],[f1807,f109]) ).
fof(f109,plain,
e14 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e13 = op1(e10,e14)
& e10 = op1(e10,e12)
& e11 = op1(e10,e13)
& e13 = op1(e14,e11)
& e12 = op1(e10,e11)
& e14 = op1(e10,e10)
& e14 = op1(e14,e13)
& e11 = op1(e13,e14)
& e12 = op1(e12,e14)
& e12 = op1(e11,e12)
& e10 = op1(e13,e11)
& e12 = op1(e13,e13)
& e14 = op1(e11,e14)
& e12 = op1(e14,e10)
& e14 = op1(e13,e12)
& e10 = op1(e11,e10)
& e10 = op1(e14,e14)
& e11 = op1(e12,e10)
& e14 = op1(e12,e11)
& e11 = op1(e11,e11)
& e10 = op1(e12,e13)
& e11 = op1(e14,e12)
& e13 = op1(e11,e13)
& e13 = op1(e12,e12)
& e13 = op1(e13,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f1807,plain,
( e10 = op1(e10,e10)
| ~ spl0_40 ),
inference(forward_demodulation,[],[f231,f375]) ).
fof(f375,plain,
( e10 = j(e21)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f373,plain,
( spl0_40
<=> e10 = j(e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f231,plain,
j(e21) = op1(j(e21),j(e21)),
inference(forward_demodulation,[],[f20,f160]) ).
fof(f160,plain,
e21 = op2(e21,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e24 = op2(e22,e21)
& e20 = op2(e22,e23)
& e22 = op2(e24,e21)
& e22 = op2(e21,e20)
& e24 = op2(e21,e23)
& e21 = op2(e22,e20)
& e20 = op2(e20,e20)
& e21 = op2(e20,e24)
& e22 = op2(e22,e22)
& e23 = op2(e24,e20)
& e22 = op2(e20,e23)
& e21 = op2(e24,e23)
& e24 = op2(e23,e20)
& e23 = op2(e20,e21)
& e21 = op2(e21,e21)
& e23 = op2(e22,e24)
& e21 = op2(e23,e22)
& e22 = op2(e23,e24)
& e20 = op2(e23,e21)
& e20 = op2(e21,e24)
& e23 = op2(e23,e23)
& e24 = op2(e20,e22)
& e20 = op2(e24,e22)
& e24 = op2(e24,e24)
& e23 = op2(e21,e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f20,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( h(op1(e12,e10)) = op2(h(e12),h(e10))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& ( e24 = h(e11)
| e21 = h(e11)
| e23 = h(e11)
| e20 = h(e11)
| e22 = h(e11) )
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& ( e11 = j(e21)
| e13 = j(e21)
| e10 = j(e21)
| e12 = j(e21)
| e14 = j(e21) )
& ( e21 = h(e14)
| e24 = h(e14)
| e22 = h(e14)
| e20 = h(e14)
| e23 = h(e14) )
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& e12 = j(h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& e23 = h(j(e23))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& ( e14 = j(e20)
| e10 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20) )
& ( e10 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e13 = j(e23)
| e14 = j(e23) )
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& e20 = h(j(e20))
& e11 = j(h(e11))
& ( e24 = h(e13)
| e21 = h(e13)
| e20 = h(e13)
| e23 = h(e13)
| e22 = h(e13) )
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& e13 = j(h(e13))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& e22 = h(j(e22))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& ( e22 = h(e10)
| e24 = h(e10)
| e21 = h(e10)
| e20 = h(e10)
| e23 = h(e10) )
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& e10 = j(h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& e21 = h(j(e21))
& ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& ( e12 = j(e22)
| e13 = j(e22)
| e11 = j(e22)
| e14 = j(e22)
| e10 = j(e22) )
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& e14 = j(h(e14))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& ( e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12)
| e24 = h(e12) )
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& e24 = h(j(e24))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& j(op2(e21,e21)) = op1(j(e21),j(e21)) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( h(op1(e13,e11)) = op2(h(e13),h(e11))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& e11 = j(h(e11))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& e24 = h(j(e24))
& e14 = j(h(e14))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& e21 = h(j(e21))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& e22 = h(j(e22))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& e20 = h(j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& e23 = h(j(e23))
& e12 = j(h(e12))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& e10 = j(h(e10))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& e13 = j(h(e13))
& ( e10 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e13 = j(e23)
| e14 = j(e23) )
& ( e11 = j(e21)
| e13 = j(e21)
| e10 = j(e21)
| e12 = j(e21)
| e14 = j(e21) )
& ( e14 = j(e20)
| e10 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20) )
& ( e24 = h(e11)
| e21 = h(e11)
| e23 = h(e11)
| e20 = h(e11)
| e22 = h(e11) )
& ( e22 = h(e10)
| e24 = h(e10)
| e21 = h(e10)
| e20 = h(e10)
| e23 = h(e10) )
& ( e12 = j(e22)
| e13 = j(e22)
| e11 = j(e22)
| e14 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e24 = h(e13)
| e21 = h(e13)
| e20 = h(e13)
| e23 = h(e13)
| e22 = h(e13) )
& ( e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12)
| e24 = h(e12) )
& ( e21 = h(e14)
| e24 = h(e14)
| e22 = h(e14)
| e20 = h(e14)
| e23 = h(e14) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,negated_conjecture,
~ ( ( ( e10 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e13 = j(e23)
| e14 = j(e23) )
& ( e11 = j(e21)
| e13 = j(e21)
| e10 = j(e21)
| e12 = j(e21)
| e14 = j(e21) )
& ( e14 = j(e20)
| e10 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20) )
& ( e24 = h(e11)
| e21 = h(e11)
| e23 = h(e11)
| e20 = h(e11)
| e22 = h(e11) )
& ( e22 = h(e10)
| e24 = h(e10)
| e21 = h(e10)
| e20 = h(e10)
| e23 = h(e10) )
& ( e12 = j(e22)
| e13 = j(e22)
| e11 = j(e22)
| e14 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e24 = h(e13)
| e21 = h(e13)
| e20 = h(e13)
| e23 = h(e13)
| e22 = h(e13) )
& ( e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12)
| e24 = h(e12) )
& ( e21 = h(e14)
| e24 = h(e14)
| e22 = h(e14)
| e20 = h(e14)
| e23 = h(e14) ) )
=> ~ ( h(op1(e13,e11)) = op2(h(e13),h(e11))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& e11 = j(h(e11))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& e24 = h(j(e24))
& e14 = j(h(e14))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& e21 = h(j(e21))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& e22 = h(j(e22))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& e20 = h(j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& e23 = h(j(e23))
& e12 = j(h(e12))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& e10 = j(h(e10))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& e13 = j(h(e13)) ) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
( ( ( e10 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e13 = j(e23)
| e14 = j(e23) )
& ( e11 = j(e21)
| e13 = j(e21)
| e10 = j(e21)
| e12 = j(e21)
| e14 = j(e21) )
& ( e14 = j(e20)
| e10 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20) )
& ( e24 = h(e11)
| e21 = h(e11)
| e23 = h(e11)
| e20 = h(e11)
| e22 = h(e11) )
& ( e22 = h(e10)
| e24 = h(e10)
| e21 = h(e10)
| e20 = h(e10)
| e23 = h(e10) )
& ( e12 = j(e22)
| e13 = j(e22)
| e11 = j(e22)
| e14 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e24 = h(e13)
| e21 = h(e13)
| e20 = h(e13)
| e23 = h(e13)
| e22 = h(e13) )
& ( e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12)
| e24 = h(e12) )
& ( e21 = h(e14)
| e24 = h(e14)
| e22 = h(e14)
| e20 = h(e14)
| e23 = h(e14) ) )
=> ~ ( h(op1(e13,e11)) = op2(h(e13),h(e11))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& e11 = j(h(e11))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& e24 = h(j(e24))
& e14 = j(h(e14))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& e21 = h(j(e21))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& e22 = h(j(e22))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& e20 = h(j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& e23 = h(j(e23))
& e12 = j(h(e12))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& e10 = j(h(e10))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& e13 = j(h(e13)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f1670,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f1669]) ).
fof(f1669,plain,
( $false
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f1668,f115]) ).
fof(f1668,plain,
( e10 = e14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1667,f98]) ).
fof(f98,plain,
e10 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f1667,plain,
( e14 = op1(e14,e14)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f352,f277]) ).
fof(f277,plain,
( e14 = j(e23)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f275,plain,
( spl0_19
<=> e14 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f352,plain,
j(e23) = op1(j(e23),j(e23)),
inference(forward_demodulation,[],[f83,f154]) ).
fof(f154,plain,
e23 = op2(e23,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f1546,plain,
~ spl0_39,
inference(avatar_contradiction_clause,[],[f1545]) ).
fof(f1545,plain,
( $false
| ~ spl0_39 ),
inference(subsumption_resolution,[],[f1544,f124]) ).
fof(f124,plain,
e12 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f1544,plain,
( e12 = e13
| ~ spl0_39 ),
inference(forward_demodulation,[],[f1543,f103]) ).
fof(f103,plain,
e12 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f1543,plain,
( e13 = op1(e13,e13)
| ~ spl0_39 ),
inference(forward_demodulation,[],[f231,f371]) ).
fof(f371,plain,
( e13 = j(e21)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f369,plain,
( spl0_39
<=> e13 = j(e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f1509,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f1508]) ).
fof(f1508,plain,
( $false
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f1507,f115]) ).
fof(f1507,plain,
( e10 = e14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1506,f109]) ).
fof(f1506,plain,
( e10 = op1(e10,e10)
| ~ spl0_18 ),
inference(forward_demodulation,[],[f352,f273]) ).
fof(f273,plain,
( e10 = j(e23)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f271,plain,
( spl0_18
<=> e10 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1356,plain,
~ spl0_38,
inference(avatar_contradiction_clause,[],[f1355]) ).
fof(f1355,plain,
( $false
| ~ spl0_38 ),
inference(subsumption_resolution,[],[f1354,f124]) ).
fof(f1354,plain,
( e12 = e13
| ~ spl0_38 ),
inference(forward_demodulation,[],[f1332,f91]) ).
fof(f91,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f1332,plain,
( e12 = op1(e12,e12)
| ~ spl0_38 ),
inference(backward_demodulation,[],[f231,f367]) ).
fof(f367,plain,
( e12 = j(e21)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f365,plain,
( spl0_38
<=> e12 = j(e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1261,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f1260]) ).
fof(f1260,plain,
( $false
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f1259,f124]) ).
fof(f1259,plain,
( e12 = e13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1258,f91]) ).
fof(f1258,plain,
( e12 = op1(e12,e12)
| ~ spl0_17 ),
inference(forward_demodulation,[],[f352,f269]) ).
fof(f269,plain,
( e12 = j(e23)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f267,plain,
( spl0_17
<=> e12 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f921,plain,
( spl0_41
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f774,f279,f388]) ).
fof(f388,plain,
( spl0_41
<=> e23 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f279,plain,
( spl0_20
<=> e11 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f774,plain,
( e23 = h(e11)
| ~ spl0_20 ),
inference(backward_demodulation,[],[f65,f281]) ).
fof(f281,plain,
( e11 = j(e23)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f65,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f912,plain,
( ~ spl0_37
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f911]) ).
fof(f911,plain,
( $false
| ~ spl0_37
| ~ spl0_41 ),
inference(subsumption_resolution,[],[f910,f17]) ).
fof(f17,plain,
e21 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e20 != e21
& e20 != e24
& e21 != e23
& e20 != e22
& e23 != e24
& e22 != e24
& e21 != e24
& e21 != e22
& e22 != e23
& e20 != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f910,plain,
( e21 = e23
| ~ spl0_37
| ~ spl0_41 ),
inference(forward_demodulation,[],[f909,f390]) ).
fof(f390,plain,
( e23 = h(e11)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f909,plain,
( e21 = h(e11)
| ~ spl0_37 ),
inference(forward_demodulation,[],[f41,f363]) ).
fof(f363,plain,
( e11 = j(e21)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f361,plain,
( spl0_37
<=> e11 = j(e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f41,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f686,plain,
~ spl0_16,
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f685,plain,
( $false
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f684,f124]) ).
fof(f684,plain,
( e12 = e13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f659,f103]) ).
fof(f659,plain,
( e13 = op1(e13,e13)
| ~ spl0_16 ),
inference(backward_demodulation,[],[f352,f265]) ).
fof(f265,plain,
( e13 = j(e23)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f263,plain,
( spl0_16
<=> e13 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f471,plain,
~ spl0_36,
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f470,plain,
( $false
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f469,f115]) ).
fof(f469,plain,
( e10 = e14
| ~ spl0_36 ),
inference(forward_demodulation,[],[f452,f98]) ).
fof(f452,plain,
( e14 = op1(e14,e14)
| ~ spl0_36 ),
inference(backward_demodulation,[],[f231,f359]) ).
fof(f359,plain,
( e14 = j(e21)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f357,plain,
( spl0_36
<=> e14 = j(e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f376,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f79,f373,f369,f365,f361,f357]) ).
fof(f79,plain,
( e10 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e14 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
fof(f282,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f62,f279,f275,f271,f267,f263]) ).
fof(f62,plain,
( e11 = j(e23)
| e14 = j(e23)
| e10 = j(e23)
| e12 = j(e23)
| e13 = j(e23) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG184+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
% 0.12/0.34 % Computer : n002.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 15:09:58 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.21/0.56 % (27276)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)
% 0.21/0.56 % (27292)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)
% 0.21/0.57 % (27293)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)
% 0.21/0.57 % (27294)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.57 % (27285)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)
% 0.21/0.57 % (27284)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)
% 0.21/0.57 % (27286)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)
% 0.21/0.57 % (27277)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.57 % (27278)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.57 % (27278)Instruction limit reached!
% 0.21/0.57 % (27278)------------------------------
% 0.21/0.57 % (27278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (27278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (27278)Termination reason: Unknown
% 0.21/0.57 % (27278)Termination phase: Preprocessing 3
% 0.21/0.57
% 0.21/0.57 % (27278)Memory used [KB]: 895
% 0.21/0.57 % (27278)Time elapsed: 0.003 s
% 0.21/0.57 % (27278)Instructions burned: 2 (million)
% 0.21/0.57 % (27278)------------------------------
% 0.21/0.57 % (27278)------------------------------
% 0.21/0.58 % (27277)Instruction limit reached!
% 0.21/0.58 % (27277)------------------------------
% 0.21/0.58 % (27277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (27277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (27277)Termination reason: Unknown
% 0.21/0.59 % (27277)Termination phase: Saturation
% 0.21/0.59
% 0.21/0.59 % (27277)Memory used [KB]: 5628
% 0.21/0.59 % (27277)Time elapsed: 0.137 s
% 0.21/0.59 % (27277)Instructions burned: 7 (million)
% 0.21/0.59 % (27277)------------------------------
% 0.21/0.59 % (27277)------------------------------
% 0.21/0.60 TRYING [10]
% 0.21/0.61 % (27275)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)
% 0.21/0.61 % (27274)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.92/0.62 % (27272)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)
% 1.92/0.62 % (27290)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)
% 1.92/0.62 % (27276)Instruction limit reached!
% 1.92/0.62 % (27276)------------------------------
% 1.92/0.62 % (27276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.62 % (27276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.62 % (27276)Termination reason: Unknown
% 1.92/0.62 % (27276)Termination phase: Finite model building constraint generation
% 1.92/0.62
% 1.92/0.62 % (27276)Memory used [KB]: 9850
% 1.92/0.62 % (27276)Time elapsed: 0.167 s
% 1.92/0.62 % (27276)Instructions burned: 51 (million)
% 1.92/0.62 % (27276)------------------------------
% 1.92/0.62 % (27276)------------------------------
% 1.92/0.62 % (27291)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.92/0.62 % (27288)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.92/0.63 % (27299)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)
% 1.92/0.63 % (27282)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.92/0.63 % (27280)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.15/0.64 % (27296)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)
% 2.15/0.64 % (27293)First to succeed.
% 2.15/0.64 % (27283)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.15/0.64 % (27298)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.15/0.65 % (27293)Refutation found. Thanks to Tanya!
% 2.15/0.65 % SZS status Theorem for theBenchmark
% 2.15/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.15/0.65 % (27293)------------------------------
% 2.15/0.65 % (27293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.15/0.65 % (27293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.15/0.65 % (27293)Termination reason: Refutation
% 2.15/0.65
% 2.15/0.65 % (27293)Memory used [KB]: 6268
% 2.15/0.65 % (27293)Time elapsed: 0.062 s
% 2.15/0.65 % (27293)Instructions burned: 40 (million)
% 2.15/0.65 % (27293)------------------------------
% 2.15/0.65 % (27293)------------------------------
% 2.15/0.65 % (27269)Success in time 0.287 s
%------------------------------------------------------------------------------