TSTP Solution File: ALG020+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG020+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 : n009.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 15:42:00 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 96 ( 25 unt; 0 def)
% Number of atoms : 495 ( 407 equ)
% Maximal formula atoms : 72 ( 5 avg)
% Number of connectives : 468 ( 69 ~; 159 |; 226 &)
% ( 12 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 51 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1104,plain,
$false,
inference(avatar_sat_refutation,[],[f217,f257,f298,f310,f341,f401,f501,f506,f605,f620,f742,f845,f960]) ).
fof(f960,plain,
( spl0_7
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f959]) ).
fof(f959,plain,
( $false
| spl0_7
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f958,f149]) ).
fof(f149,plain,
( e10 != j(e23)
| spl0_7 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl0_7
<=> e10 = j(e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f958,plain,
( e10 = j(e23)
| ~ spl0_18 ),
inference(forward_demodulation,[],[f957,f67]) ).
fof(f67,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e12 = op1(e12,e10)
& e10 = op1(e13,e13)
& e13 = op1(e11,e12)
& e11 = op1(e11,e10)
& e11 = op1(e10,e11)
& e12 = op1(e13,e11)
& e13 = op1(e13,e10)
& e12 = op1(e11,e13)
& e10 = op1(e12,e12)
& e11 = op1(e13,e12)
& e13 = op1(e12,e11)
& e11 = op1(e12,e13)
& e10 = op1(e10,e10)
& e10 = op1(e11,e11)
& e13 = op1(e10,e13)
& e12 = op1(e10,e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f957,plain,
( op1(e10,e10) = j(e23)
| ~ spl0_18 ),
inference(forward_demodulation,[],[f277,f208]) ).
fof(f208,plain,
( e10 = j(e22)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f206,plain,
( spl0_18
<=> e10 = j(e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f277,plain,
j(e23) = op1(j(e22),j(e22)),
inference(backward_demodulation,[],[f63,f88]) ).
fof(f88,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e20 = op2(e21,e22)
& e20 = op2(e20,e20)
& e20 = op2(e23,e23)
& e21 = op2(e21,e20)
& e20 = op2(e22,e21)
& e23 = op2(e20,e23)
& e22 = op2(e22,e20)
& e23 = op2(e22,e22)
& e21 = op2(e20,e21)
& e21 = op2(e23,e22)
& e23 = op2(e23,e20)
& e22 = op2(e20,e22)
& e21 = op2(e22,e23)
& e23 = op2(e21,e21)
& e22 = op2(e21,e23)
& e22 = op2(e23,e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f63,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( j(op2(e22,e22)) = op1(j(e22),j(e22))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& ( e10 = j(e23)
| e11 = j(e23)
| e13 = j(e23)
| e12 = j(e23) )
& e12 = j(h(e12))
& ( e11 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e10 = j(e22) )
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& ( e21 = h(e10)
| e23 = h(e10)
| e20 = h(e10)
| e22 = h(e10) )
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& e23 = h(j(e23))
& ( e11 = j(e21)
| e13 = j(e21)
| e10 = j(e21)
| e12 = j(e21) )
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& ( e23 = h(e11)
| e22 = h(e11)
| e20 = h(e11)
| e21 = h(e11) )
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& ( e13 = j(e20)
| e10 = j(e20)
| e12 = j(e20)
| e11 = j(e20) )
& e21 = h(j(e21))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& e10 = j(h(e10))
& e11 = j(h(e11))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& ( e22 = h(e12)
| e20 = h(e12)
| e21 = h(e12)
| e23 = h(e12) )
& e22 = h(j(e22))
& e13 = j(h(e13))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& ( e23 = h(e13)
| e22 = h(e13)
| e20 = h(e13)
| e21 = h(e13) )
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& e20 = h(j(e20))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21)) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& e20 = h(j(e20))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& e11 = j(h(e11))
& e21 = h(j(e21))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& e22 = h(j(e22))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& e13 = j(h(e13))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& e23 = h(j(e23))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& e12 = j(h(e12))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& e10 = j(h(e10))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& ( e23 = h(e13)
| e22 = h(e13)
| e20 = h(e13)
| e21 = h(e13) )
& ( e11 = j(e21)
| e13 = j(e21)
| e10 = j(e21)
| e12 = j(e21) )
& ( e11 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e10 = j(e22) )
& ( e23 = h(e11)
| e22 = h(e11)
| e20 = h(e11)
| e21 = h(e11) )
& ( e10 = j(e23)
| e11 = j(e23)
| e13 = j(e23)
| e12 = j(e23) )
& ( e21 = h(e10)
| e23 = h(e10)
| e20 = h(e10)
| e22 = h(e10) )
& ( e22 = h(e12)
| e20 = h(e12)
| e21 = h(e12)
| e23 = h(e12) )
& ( e13 = j(e20)
| e10 = j(e20)
| e12 = j(e20)
| e11 = j(e20) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,negated_conjecture,
~ ( ( ( e23 = h(e13)
| e22 = h(e13)
| e20 = h(e13)
| e21 = h(e13) )
& ( e11 = j(e21)
| e13 = j(e21)
| e10 = j(e21)
| e12 = j(e21) )
& ( e11 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e10 = j(e22) )
& ( e23 = h(e11)
| e22 = h(e11)
| e20 = h(e11)
| e21 = h(e11) )
& ( e10 = j(e23)
| e11 = j(e23)
| e13 = j(e23)
| e12 = j(e23) )
& ( e21 = h(e10)
| e23 = h(e10)
| e20 = h(e10)
| e22 = h(e10) )
& ( e22 = h(e12)
| e20 = h(e12)
| e21 = h(e12)
| e23 = h(e12) )
& ( e13 = j(e20)
| e10 = j(e20)
| e12 = j(e20)
| e11 = j(e20) ) )
=> ~ ( h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& e20 = h(j(e20))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& e11 = j(h(e11))
& e21 = h(j(e21))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& e22 = h(j(e22))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& e13 = j(h(e13))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& e23 = h(j(e23))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& e12 = j(h(e12))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& e10 = j(h(e10))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e13)) = op2(h(e12),h(e13)) ) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
( ( ( e23 = h(e13)
| e22 = h(e13)
| e20 = h(e13)
| e21 = h(e13) )
& ( e11 = j(e21)
| e13 = j(e21)
| e10 = j(e21)
| e12 = j(e21) )
& ( e11 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e10 = j(e22) )
& ( e23 = h(e11)
| e22 = h(e11)
| e20 = h(e11)
| e21 = h(e11) )
& ( e10 = j(e23)
| e11 = j(e23)
| e13 = j(e23)
| e12 = j(e23) )
& ( e21 = h(e10)
| e23 = h(e10)
| e20 = h(e10)
| e22 = h(e10) )
& ( e22 = h(e12)
| e20 = h(e12)
| e21 = h(e12)
| e23 = h(e12) )
& ( e13 = j(e20)
| e10 = j(e20)
| e12 = j(e20)
| e11 = j(e20) ) )
=> ~ ( h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& e20 = h(j(e20))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& e11 = j(h(e11))
& e21 = h(j(e21))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& e22 = h(j(e22))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& e13 = j(h(e13))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& e23 = h(j(e23))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& e12 = j(h(e12))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& e10 = j(h(e10))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e13)) = op2(h(e12),h(e13)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f845,plain,
( spl0_2
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f844]) ).
fof(f844,plain,
( $false
| spl0_2
| ~ spl0_19 ),
inference(subsumption_resolution,[],[f843,f125]) ).
fof(f125,plain,
( e22 != h(e11)
| spl0_2 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl0_2
<=> e22 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f843,plain,
( e22 = h(e11)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f23,f212]) ).
fof(f212,plain,
( e11 = j(e22)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f210,plain,
( spl0_19
<=> e11 = j(e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f23,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f742,plain,
( ~ spl0_7
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f741]) ).
fof(f741,plain,
( $false
| ~ spl0_7
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f740,f101]) ).
fof(f101,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e10 != e13
& e12 != e13
& e10 != e12
& e11 != e12
& e11 != e13
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f740,plain,
( e10 = e13
| ~ spl0_7
| ~ spl0_28 ),
inference(forward_demodulation,[],[f739,f150]) ).
fof(f150,plain,
( e10 = j(e23)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f739,plain,
( e13 = j(e23)
| ~ spl0_28 ),
inference(forward_demodulation,[],[f22,f256]) ).
fof(f256,plain,
( e23 = h(e13)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f254,plain,
( spl0_28
<=> e23 = h(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f22,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f620,plain,
( spl0_13
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f619,f250,f177]) ).
fof(f177,plain,
( spl0_13
<=> e23 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f250,plain,
( spl0_27
<=> e22 = h(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f619,plain,
( e23 = h(e10)
| ~ spl0_27 ),
inference(backward_demodulation,[],[f602,f88]) ).
fof(f602,plain,
( op2(e22,e22) = h(e10)
| ~ spl0_27 ),
inference(forward_demodulation,[],[f174,f252]) ).
fof(f252,plain,
( e22 = h(e13)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f174,plain,
h(e10) = op2(h(e13),h(e13)),
inference(backward_demodulation,[],[f47,f78]) ).
fof(f78,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f47,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f605,plain,
( spl0_7
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f604,f214,f148]) ).
fof(f214,plain,
( spl0_20
<=> e12 = j(e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f604,plain,
( e10 = j(e23)
| ~ spl0_20 ),
inference(forward_demodulation,[],[f603,f71]) ).
fof(f71,plain,
e10 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f603,plain,
( op1(e12,e12) = j(e23)
| ~ spl0_20 ),
inference(forward_demodulation,[],[f277,f216]) ).
fof(f216,plain,
( e12 = j(e22)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f506,plain,
( spl0_21
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f505,f246,f223]) ).
fof(f223,plain,
( spl0_21
<=> e13 = j(e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f246,plain,
( spl0_26
<=> e20 = h(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f505,plain,
( e13 = j(e20)
| ~ spl0_26 ),
inference(forward_demodulation,[],[f22,f248]) ).
fof(f248,plain,
( e20 = h(e13)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f501,plain,
( spl0_13
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f500,f124,f177]) ).
fof(f500,plain,
( e23 = h(e10)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f499,f88]) ).
fof(f499,plain,
( op2(e22,e22) = h(e10)
| ~ spl0_2 ),
inference(backward_demodulation,[],[f137,f126]) ).
fof(f126,plain,
( e22 = h(e11)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f137,plain,
h(e10) = op2(h(e11),h(e11)),
inference(backward_demodulation,[],[f21,f66]) ).
fof(f66,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f21,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f401,plain,
~ spl0_21,
inference(avatar_contradiction_clause,[],[f400]) ).
fof(f400,plain,
( $false
| ~ spl0_21 ),
inference(subsumption_resolution,[],[f399,f101]) ).
fof(f399,plain,
( e10 = e13
| ~ spl0_21 ),
inference(forward_demodulation,[],[f375,f78]) ).
fof(f375,plain,
( e13 = op1(e13,e13)
| ~ spl0_21 ),
inference(backward_demodulation,[],[f220,f225]) ).
fof(f225,plain,
( e13 = j(e20)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f220,plain,
j(e20) = op1(j(e20),j(e20)),
inference(backward_demodulation,[],[f43,f94]) ).
fof(f94,plain,
e20 = op2(e20,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f43,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f341,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f340,plain,
( $false
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f339,f12]) ).
fof(f12,plain,
e20 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e22 != e23
& e21 != e22
& e20 != e22
& e20 != e23
& e21 != e23
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f339,plain,
( e20 = e23
| ~ spl0_13 ),
inference(forward_demodulation,[],[f333,f93]) ).
fof(f93,plain,
e20 = op2(e23,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f333,plain,
( e23 = op2(e23,e23)
| ~ spl0_13 ),
inference(backward_demodulation,[],[f197,f179]) ).
fof(f179,plain,
( e23 = h(e10)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f197,plain,
h(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[],[f19,f67]) ).
fof(f19,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f310,plain,
( spl0_13
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f309,f242,f177]) ).
fof(f242,plain,
( spl0_25
<=> e21 = h(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f309,plain,
( e23 = h(e10)
| ~ spl0_25 ),
inference(forward_demodulation,[],[f300,f82]) ).
fof(f82,plain,
e23 = op2(e21,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f300,plain,
( op2(e21,e21) = h(e10)
| ~ spl0_25 ),
inference(backward_demodulation,[],[f174,f244]) ).
fof(f244,plain,
( e21 = h(e13)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f298,plain,
( spl0_27
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f286,f202,f250]) ).
fof(f202,plain,
( spl0_17
<=> e13 = j(e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f286,plain,
( e22 = h(e13)
| ~ spl0_17 ),
inference(backward_demodulation,[],[f23,f204]) ).
fof(f204,plain,
( e13 = j(e22)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f257,plain,
( spl0_25
| spl0_26
| spl0_27
| spl0_28 ),
inference(avatar_split_clause,[],[f20,f254,f250,f246,f242]) ).
fof(f20,plain,
( e23 = h(e13)
| e22 = h(e13)
| e20 = h(e13)
| e21 = h(e13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f217,plain,
( spl0_17
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f56,f214,f210,f206,f202]) ).
fof(f56,plain,
( e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22)
| e13 = j(e22) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ALG020+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.12 % 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 : n009.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 14:47:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (10096)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50 % (10118)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.50 % (10103)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (10102)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (10110)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.51 % (10112)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.51 % (10099)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (10117)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.51 % (10103)Instruction limit reached!
% 0.18/0.51 % (10103)------------------------------
% 0.18/0.51 % (10103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (10102)Instruction limit reached!
% 0.18/0.51 % (10102)------------------------------
% 0.18/0.51 % (10102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (10102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (10102)Termination reason: Unknown
% 0.18/0.51 % (10102)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (10102)Memory used [KB]: 5500
% 0.18/0.51 % (10102)Time elapsed: 0.121 s
% 0.18/0.51 % (10102)Instructions burned: 8 (million)
% 0.18/0.51 % (10102)------------------------------
% 0.18/0.51 % (10102)------------------------------
% 0.18/0.51 % (10095)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.52 TRYING [8]
% 0.18/0.52 % (10122)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.52 % (10121)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.52 % (10103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (10103)Termination reason: Unknown
% 0.18/0.52 % (10103)Termination phase: Property scanning
% 0.18/0.52
% 0.18/0.52 % (10103)Memory used [KB]: 895
% 0.18/0.52 % (10103)Time elapsed: 0.003 s
% 0.18/0.52 % (10103)Instructions burned: 2 (million)
% 0.18/0.52 % (10103)------------------------------
% 0.18/0.52 % (10103)------------------------------
% 0.18/0.52 % (10100)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.52 % (10120)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.52 % (10097)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.52 % (10098)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (10119)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.52 % (10107)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.52 % (10109)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.52 % (10096)First to succeed.
% 0.18/0.52 % (10124)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.52 % (10096)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53 % (10096)------------------------------
% 0.18/0.53 % (10096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (10096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (10096)Termination reason: Refutation
% 0.18/0.53
% 0.18/0.53 % (10096)Memory used [KB]: 5884
% 0.18/0.53 % (10096)Time elapsed: 0.016 s
% 0.18/0.53 % (10096)Instructions burned: 25 (million)
% 0.18/0.53 % (10096)------------------------------
% 0.18/0.53 % (10096)------------------------------
% 0.18/0.53 % (10094)Success in time 0.185 s
%------------------------------------------------------------------------------