TSTP Solution File: ALG042+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG042+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 : n001.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 15:42:16 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 25
% Syntax : Number of formulae : 111 ( 81 unt; 0 def)
% Number of atoms : 483 ( 482 equ)
% Maximal formula atoms : 72 ( 4 avg)
% Number of connectives : 391 ( 19 ~; 144 |; 226 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 51 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 28 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f768,plain,
$false,
inference(subsumption_resolution,[],[f767,f78]) ).
fof(f78,plain,
e21 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e20 != e23
& e21 != e22
& e22 != e23
& e21 != e23
& e20 != e21
& e20 != e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f767,plain,
e21 = e22,
inference(backward_demodulation,[],[f487,f749]) ).
fof(f749,plain,
e21 = h(sF8),
inference(backward_demodulation,[],[f423,f743]) ).
fof(f743,plain,
sF42 = sF8,
inference(forward_demodulation,[],[f722,f590]) ).
fof(f590,plain,
op1(e10,sF8) = sF8,
inference(backward_demodulation,[],[f446,f572]) ).
fof(f572,plain,
e10 = sF0,
inference(subsumption_resolution,[],[f571,f99]) ).
fof(f99,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e10 != e12
& e12 != e13
& e10 != e11
& e11 != e12
& e11 != e13
& e10 != e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f571,plain,
( e10 = sF0
| e10 = e11 ),
inference(forward_demodulation,[],[f564,f107]) ).
fof(f107,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e13 = op1(e12,e11)
& e12 = op1(e13,e11)
& e13 = op1(e11,e12)
& e12 = op1(e12,e10)
& e10 = op1(e12,e12)
& e11 = op1(e12,e13)
& e10 = op1(e10,e10)
& e11 = op1(e13,e12)
& e10 = op1(e13,e13)
& e12 = op1(e10,e12)
& e10 = op1(e11,e11)
& e11 = op1(e10,e11)
& e13 = op1(e13,e10)
& e12 = op1(e11,e13)
& e11 = op1(e11,e10)
& e13 = op1(e10,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f564,plain,
( e11 = op1(e11,e11)
| e10 = sF0 ),
inference(superposition,[],[f405,f542]) ).
fof(f542,plain,
( e11 = sF0
| e10 = sF0 ),
inference(subsumption_resolution,[],[f541,f101]) ).
fof(f101,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f541,plain,
( e11 = sF0
| e10 = sF0
| e10 = e12 ),
inference(forward_demodulation,[],[f534,f113]) ).
fof(f113,plain,
e10 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f534,plain,
( e10 = sF0
| e12 = op1(e12,e12)
| e11 = sF0 ),
inference(superposition,[],[f405,f525]) ).
fof(f525,plain,
( e12 = sF0
| e10 = sF0
| e11 = sF0 ),
inference(subsumption_resolution,[],[f524,f96]) ).
fof(f96,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f524,plain,
( e10 = e13
| e11 = sF0
| e12 = sF0
| e10 = sF0 ),
inference(forward_demodulation,[],[f516,f109]) ).
fof(f109,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f516,plain,
( e13 = op1(e13,e13)
| e11 = sF0
| e10 = sF0
| e12 = sF0 ),
inference(superposition,[],[f405,f133]) ).
fof(f133,plain,
( e13 = sF0
| e11 = sF0
| e12 = sF0
| e10 = sF0 ),
inference(definition_folding,[],[f69,f118,f118,f118,f118]) ).
fof(f118,plain,
j(e20) = sF0,
introduced(function_definition,[]) ).
fof(f69,plain,
( e11 = j(e20)
| e10 = j(e20)
| e13 = j(e20)
| e12 = j(e20) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( e20 = h(j(e20))
& ( e22 = h(e10)
| e20 = h(e10)
| e23 = h(e10)
| e21 = h(e10) )
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& ( e11 = j(e20)
| e10 = j(e20)
| e13 = j(e20)
| e12 = j(e20) )
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& e10 = j(h(e10))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& e22 = h(j(e22))
& ( e22 = h(e13)
| e20 = h(e13)
| e23 = h(e13)
| e21 = h(e13) )
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& ( e21 = h(e11)
| e20 = h(e11)
| e22 = h(e11)
| e23 = h(e11) )
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& e21 = h(j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& ( e11 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e10 = j(e22) )
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& e11 = j(h(e11))
& e13 = j(h(e13))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& e23 = h(j(e23))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& ( e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& ( e20 = h(e12)
| e22 = h(e12)
| e23 = h(e12)
| e21 = h(e12) )
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& e12 = j(h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& ( e13 = j(e23)
| e10 = j(e23)
| e11 = j(e23)
| e12 = j(e23) )
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20)) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( h(op1(e12,e11)) = op2(h(e12),h(e11))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& e21 = h(j(e21))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& e12 = j(h(e12))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& e23 = h(j(e23))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& e10 = j(h(e10))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& e22 = h(j(e22))
& e13 = j(h(e13))
& e11 = j(h(e11))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& e20 = h(j(e20))
& ( e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e20 = h(e12)
| e22 = h(e12)
| e23 = h(e12)
| e21 = h(e12) )
& ( e21 = h(e11)
| e20 = h(e11)
| e22 = h(e11)
| e23 = h(e11) )
& ( e22 = h(e13)
| e20 = h(e13)
| e23 = h(e13)
| e21 = h(e13) )
& ( e11 = j(e20)
| e10 = j(e20)
| e13 = j(e20)
| e12 = j(e20) )
& ( e22 = h(e10)
| e20 = h(e10)
| e23 = h(e10)
| e21 = h(e10) )
& ( e11 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e10 = j(e22) )
& ( e13 = j(e23)
| e10 = j(e23)
| e11 = j(e23)
| e12 = j(e23) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,negated_conjecture,
~ ( ( ( e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e20 = h(e12)
| e22 = h(e12)
| e23 = h(e12)
| e21 = h(e12) )
& ( e21 = h(e11)
| e20 = h(e11)
| e22 = h(e11)
| e23 = h(e11) )
& ( e22 = h(e13)
| e20 = h(e13)
| e23 = h(e13)
| e21 = h(e13) )
& ( e11 = j(e20)
| e10 = j(e20)
| e13 = j(e20)
| e12 = j(e20) )
& ( e22 = h(e10)
| e20 = h(e10)
| e23 = h(e10)
| e21 = h(e10) )
& ( e11 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e10 = j(e22) )
& ( e13 = j(e23)
| e10 = j(e23)
| e11 = j(e23)
| e12 = j(e23) ) )
=> ~ ( h(op1(e12,e11)) = op2(h(e12),h(e11))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& e21 = h(j(e21))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& e12 = j(h(e12))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& e23 = h(j(e23))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& e10 = j(h(e10))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& e22 = h(j(e22))
& e13 = j(h(e13))
& e11 = j(h(e11))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& e20 = h(j(e20)) ) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
( ( ( e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e20 = h(e12)
| e22 = h(e12)
| e23 = h(e12)
| e21 = h(e12) )
& ( e21 = h(e11)
| e20 = h(e11)
| e22 = h(e11)
| e23 = h(e11) )
& ( e22 = h(e13)
| e20 = h(e13)
| e23 = h(e13)
| e21 = h(e13) )
& ( e11 = j(e20)
| e10 = j(e20)
| e13 = j(e20)
| e12 = j(e20) )
& ( e22 = h(e10)
| e20 = h(e10)
| e23 = h(e10)
| e21 = h(e10) )
& ( e11 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e10 = j(e22) )
& ( e13 = j(e23)
| e10 = j(e23)
| e11 = j(e23)
| e12 = j(e23) ) )
=> ~ ( h(op1(e12,e11)) = op2(h(e12),h(e11))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& e21 = h(j(e21))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& e12 = j(h(e12))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& e23 = h(j(e23))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& e10 = j(h(e10))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& e22 = h(j(e22))
& e13 = j(h(e13))
& e11 = j(h(e11))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& e20 = h(j(e20)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f405,plain,
sF0 = op1(sF0,sF0),
inference(backward_demodulation,[],[f292,f404]) ).
fof(f404,plain,
sF0 = sF70,
inference(forward_demodulation,[],[f403,f118]) ).
fof(f403,plain,
j(e20) = sF70,
inference(backward_demodulation,[],[f218,f402]) ).
fof(f402,plain,
e20 = sF69,
inference(backward_demodulation,[],[f217,f82]) ).
fof(f82,plain,
e20 = op2(e20,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e23 = op2(e21,e21)
& e22 = op2(e22,e20)
& e21 = op2(e23,e22)
& e22 = op2(e23,e21)
& e23 = op2(e20,e23)
& e23 = op2(e22,e22)
& e20 = op2(e23,e23)
& e22 = op2(e20,e22)
& e21 = op2(e22,e23)
& e20 = op2(e22,e21)
& e22 = op2(e21,e23)
& e21 = op2(e21,e20)
& e21 = op2(e20,e21)
& e20 = op2(e20,e20)
& e20 = op2(e21,e22)
& e23 = op2(e23,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f217,plain,
op2(e20,e20) = sF69,
introduced(function_definition,[]) ).
fof(f218,plain,
j(sF69) = sF70,
introduced(function_definition,[]) ).
fof(f292,plain,
op1(sF0,sF0) = sF70,
inference(forward_demodulation,[],[f219,f220]) ).
fof(f220,plain,
sF71 = sF70,
inference(definition_folding,[],[f43,f219,f118,f118,f218,f217]) ).
fof(f43,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f219,plain,
sF71 = op1(sF0,sF0),
introduced(function_definition,[]) ).
fof(f446,plain,
sF8 = op1(sF0,sF8),
inference(backward_demodulation,[],[f279,f445]) ).
fof(f445,plain,
sF9 = sF8,
inference(forward_demodulation,[],[f130,f306]) ).
fof(f306,plain,
j(e22) = sF8,
inference(backward_demodulation,[],[f129,f305]) ).
fof(f305,plain,
e22 = sF7,
inference(backward_demodulation,[],[f128,f88]) ).
fof(f88,plain,
e22 = op2(e20,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f128,plain,
op2(e20,e22) = sF7,
introduced(function_definition,[]) ).
fof(f129,plain,
j(sF7) = sF8,
introduced(function_definition,[]) ).
fof(f130,plain,
j(e22) = sF9,
introduced(function_definition,[]) ).
fof(f279,plain,
op1(sF0,sF9) = sF8,
inference(forward_demodulation,[],[f131,f132]) ).
fof(f132,plain,
sF10 = sF8,
inference(definition_folding,[],[f70,f131,f130,f118,f129,f128]) ).
fof(f70,plain,
j(op2(e20,e22)) = op1(j(e20),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f131,plain,
op1(sF0,sF9) = sF10,
introduced(function_definition,[]) ).
fof(f722,plain,
op1(e10,sF8) = sF42,
inference(backward_demodulation,[],[f456,f711]) ).
fof(f711,plain,
e10 = sF4,
inference(duplicate_literal_removal,[],[f710]) ).
fof(f710,plain,
( e10 = sF4
| e10 = sF4 ),
inference(forward_demodulation,[],[f701,f111]) ).
fof(f111,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f701,plain,
( op1(e10,e10) = sF4
| e10 = sF4 ),
inference(superposition,[],[f479,f693]) ).
fof(f693,plain,
( e10 = sF42
| e10 = sF4 ),
inference(duplicate_literal_removal,[],[f692]) ).
fof(f692,plain,
( e10 = sF4
| e10 = sF42
| e10 = sF4 ),
inference(forward_demodulation,[],[f684,f107]) ).
fof(f684,plain,
( e10 = sF4
| op1(e11,e11) = sF4
| e10 = sF42 ),
inference(superposition,[],[f479,f677]) ).
fof(f677,plain,
( e11 = sF42
| e10 = sF4
| e10 = sF42 ),
inference(duplicate_literal_removal,[],[f676]) ).
fof(f676,plain,
( e10 = sF42
| e10 = sF4
| e11 = sF42
| e10 = sF4 ),
inference(forward_demodulation,[],[f669,f113]) ).
fof(f669,plain,
( e11 = sF42
| op1(e12,e12) = sF4
| e10 = sF4
| e10 = sF42 ),
inference(superposition,[],[f479,f649]) ).
fof(f649,plain,
( e12 = sF42
| e10 = sF4
| e10 = sF42
| e11 = sF42 ),
inference(forward_demodulation,[],[f641,f109]) ).
fof(f641,plain,
( e11 = sF42
| op1(e13,e13) = sF4
| e10 = sF42
| e12 = sF42 ),
inference(superposition,[],[f479,f221]) ).
fof(f221,plain,
( e13 = sF42
| e10 = sF42
| e11 = sF42
| e12 = sF42 ),
inference(definition_folding,[],[f42,f176,f176,f176,f176]) ).
fof(f176,plain,
j(e21) = sF42,
introduced(function_definition,[]) ).
fof(f42,plain,
( e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
fof(f479,plain,
sF4 = op1(sF42,sF42),
inference(backward_demodulation,[],[f331,f478]) ).
fof(f478,plain,
sF4 = sF52,
inference(forward_demodulation,[],[f477,f309]) ).
fof(f309,plain,
j(e23) = sF4,
inference(forward_demodulation,[],[f124,f293]) ).
fof(f293,plain,
e23 = sF3,
inference(backward_demodulation,[],[f123,f91]) ).
fof(f91,plain,
e23 = op2(e20,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f123,plain,
op2(e20,e23) = sF3,
introduced(function_definition,[]) ).
fof(f124,plain,
sF4 = j(sF3),
introduced(function_definition,[]) ).
fof(f477,plain,
j(e23) = sF52,
inference(backward_demodulation,[],[f191,f476]) ).
fof(f476,plain,
e23 = sF51,
inference(forward_demodulation,[],[f190,f95]) ).
fof(f95,plain,
e23 = op2(e21,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f190,plain,
op2(e21,e21) = sF51,
introduced(function_definition,[]) ).
fof(f191,plain,
sF52 = j(sF51),
introduced(function_definition,[]) ).
fof(f331,plain,
sF52 = op1(sF42,sF42),
inference(forward_demodulation,[],[f192,f193]) ).
fof(f193,plain,
sF52 = sF53,
inference(definition_folding,[],[f52,f192,f176,f176,f191,f190]) ).
fof(f52,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f192,plain,
sF53 = op1(sF42,sF42),
introduced(function_definition,[]) ).
fof(f456,plain,
op1(sF4,sF8) = sF42,
inference(backward_demodulation,[],[f448,f455]) ).
fof(f455,plain,
sF42 = sF104,
inference(forward_demodulation,[],[f454,f176]) ).
fof(f454,plain,
j(e21) = sF104,
inference(backward_demodulation,[],[f267,f453]) ).
fof(f453,plain,
e21 = sF103,
inference(backward_demodulation,[],[f266,f93]) ).
fof(f93,plain,
e21 = op2(e23,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f266,plain,
op2(e23,e22) = sF103,
introduced(function_definition,[]) ).
fof(f267,plain,
j(sF103) = sF104,
introduced(function_definition,[]) ).
fof(f448,plain,
op1(sF4,sF8) = sF104,
inference(backward_demodulation,[],[f346,f445]) ).
fof(f346,plain,
sF104 = op1(sF4,sF9),
inference(forward_demodulation,[],[f345,f310]) ).
fof(f310,plain,
sF4 = sF5,
inference(backward_demodulation,[],[f125,f309]) ).
fof(f125,plain,
j(e23) = sF5,
introduced(function_definition,[]) ).
fof(f345,plain,
op1(sF5,sF9) = sF104,
inference(forward_demodulation,[],[f268,f269]) ).
fof(f269,plain,
sF105 = sF104,
inference(definition_folding,[],[f28,f268,f130,f125,f267,f266]) ).
fof(f28,plain,
j(op2(e23,e22)) = op1(j(e23),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f268,plain,
op1(sF5,sF9) = sF105,
introduced(function_definition,[]) ).
fof(f423,plain,
e21 = h(sF42),
inference(backward_demodulation,[],[f184,f185]) ).
fof(f185,plain,
e21 = sF47,
inference(definition_folding,[],[f54,f184,f176]) ).
fof(f54,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f184,plain,
sF47 = h(sF42),
introduced(function_definition,[]) ).
fof(f487,plain,
e22 = h(sF8),
inference(forward_demodulation,[],[f486,f172]) ).
fof(f172,plain,
e22 = sF39,
inference(definition_folding,[],[f59,f171,f130]) ).
fof(f171,plain,
sF39 = h(sF9),
introduced(function_definition,[]) ).
fof(f59,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f486,plain,
sF39 = h(sF8),
inference(forward_demodulation,[],[f171,f445]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG042+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
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 15:12:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (25317)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49 % (25310)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)
% 0.19/0.49 % (25330)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)
% 0.19/0.49 % (25322)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)
% 0.19/0.50 % (25326)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)
% 0.19/0.50 % (25314)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (25312)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)
% 0.19/0.50 % (25311)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)
% 0.19/0.50 % (25338)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)
% 0.19/0.51 % (25317)Instruction limit reached!
% 0.19/0.51 % (25317)------------------------------
% 0.19/0.51 % (25317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 TRYING [8]
% 0.19/0.51 % (25317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (25317)Termination reason: Unknown
% 0.19/0.51 % (25317)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (25317)Memory used [KB]: 5500
% 0.19/0.51 % (25317)Time elapsed: 0.123 s
% 0.19/0.51 % (25317)Instructions burned: 7 (million)
% 0.19/0.51 % (25317)------------------------------
% 0.19/0.51 % (25317)------------------------------
% 0.19/0.51 % (25315)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)
% 0.19/0.51 % (25313)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)
% 0.19/0.52 % (25339)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (25336)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (25335)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 % (25340)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)
% 0.19/0.52 % (25319)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)
% 0.19/0.52 % (25329)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (25324)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (25326)First to succeed.
% 0.19/0.53 % (25337)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)
% 0.19/0.53 % (25332)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (25318)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (25318)Instruction limit reached!
% 0.19/0.53 % (25318)------------------------------
% 0.19/0.53 % (25318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (25318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (25318)Termination reason: Unknown
% 0.19/0.53 % (25318)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (25325)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)
% 0.19/0.53 % (25318)Memory used [KB]: 895
% 0.19/0.53 % (25318)Time elapsed: 0.002 s
% 0.19/0.53 % (25318)Instructions burned: 3 (million)
% 0.19/0.53 % (25318)------------------------------
% 0.19/0.53 % (25318)------------------------------
% 0.19/0.53 % (25321)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (25327)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 % (25326)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (25326)------------------------------
% 0.19/0.54 % (25326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (25326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (25326)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (25326)Memory used [KB]: 1407
% 0.19/0.54 % (25326)Time elapsed: 0.133 s
% 0.19/0.54 % (25326)Instructions burned: 30 (million)
% 0.19/0.54 % (25326)------------------------------
% 0.19/0.54 % (25326)------------------------------
% 0.19/0.54 % (25309)Success in time 0.193 s
%------------------------------------------------------------------------------