TSTP Solution File: ALG054+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG054+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 : n023.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 15:42:24 EDT 2022
% Result : Theorem 2.09s 0.64s
% Output : Refutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 24
% Syntax : Number of formulae : 109 ( 21 unt; 0 def)
% Number of atoms : 567 ( 440 equ)
% Maximal formula atoms : 100 ( 5 avg)
% Number of connectives : 737 ( 279 ~; 231 |; 208 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2680,plain,
$false,
inference(avatar_sat_refutation,[],[f554,f572,f573,f737,f739,f760,f808,f863,f864,f936,f938,f952,f1283,f1501,f1577,f2119,f2377,f2400,f2415,f2490]) ).
fof(f2490,plain,
( ~ spl0_66
| ~ spl0_126 ),
inference(avatar_contradiction_clause,[],[f2489]) ).
fof(f2489,plain,
( $false
| ~ spl0_66
| ~ spl0_126 ),
inference(subsumption_resolution,[],[f2488,f87]) ).
fof(f87,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e0 != e4
& e3 != e4
& e0 != e2
& e1 != e2
& e2 != e4
& e0 != e3
& e1 != e4
& e1 != e3
& e2 != e3
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f2488,plain,
( e0 = e2
| ~ spl0_66
| ~ spl0_126 ),
inference(forward_demodulation,[],[f2479,f74]) ).
fof(f74,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e1 = op(unit,e1)
& e3 = op(e3,unit)
& e4 = op(e4,unit)
& e0 = op(e0,unit)
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& ( e3 = unit
| e1 = unit
| e4 = unit
| e2 = unit
| e0 = unit )
& e4 = op(unit,e4)
& e3 = op(unit,e3)
& e1 = op(e1,unit)
& e0 = op(unit,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f2479,plain,
( e0 = op(unit,e2)
| ~ spl0_66
| ~ spl0_126 ),
inference(backward_demodulation,[],[f521,f807]) ).
fof(f807,plain,
( e1 = unit
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f805,plain,
( spl0_126
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f521,plain,
( e0 = op(e1,e2)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f519,plain,
( spl0_66
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f2415,plain,
( ~ spl0_28
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f2414]) ).
fof(f2414,plain,
( $false
| ~ spl0_28
| ~ spl0_125 ),
inference(subsumption_resolution,[],[f2413,f357]) ).
fof(f357,plain,
( e0 = op(e0,e0)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f355,plain,
( spl0_28
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f2413,plain,
( e0 != op(e0,e0)
| ~ spl0_125 ),
inference(forward_demodulation,[],[f2412,f69]) ).
fof(f69,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2412,plain,
( op(e0,e0) != op(unit,e0)
| ~ spl0_125 ),
inference(forward_demodulation,[],[f116,f803]) ).
fof(f803,plain,
( e3 = unit
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f801,plain,
( spl0_125
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f116,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e4,e2) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e4,e0) != op(e4,e3)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e1,e1) != op(e2,e1)
& op(e1,e0) != op(e1,e2)
& op(e2,e0) != op(e2,e1)
& op(e0,e0) != op(e0,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e2) != op(e4,e2)
& op(e3,e0) != op(e3,e2)
& op(e1,e2) != op(e1,e3)
& op(e0,e1) != op(e2,e1)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e2,e4)
& op(e3,e1) != op(e3,e3)
& op(e0,e1) != op(e4,e1)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e0) != op(e0,e2)
& op(e4,e0) != op(e4,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e1,e0) != op(e2,e0)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e3,e4)
& op(e0,e3) != op(e3,e3)
& op(e2,e1) != op(e2,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e0,e2) != op(e2,e2)
& op(e3,e3) != op(e3,e4)
& op(e1,e0) != op(e3,e0)
& op(e2,e1) != op(e2,e4)
& op(e0,e2) != op(e4,e2)
& op(e2,e0) != op(e2,e3)
& op(e4,e1) != op(e4,e4)
& op(e0,e1) != op(e3,e1)
& op(e1,e1) != op(e1,e2)
& op(e4,e2) != op(e4,e3)
& op(e2,e0) != op(e2,e2)
& op(e0,e0) != op(e4,e0)
& op(e3,e0) != op(e3,e1)
& op(e4,e3) != op(e4,e4)
& op(e2,e2) != op(e4,e2)
& op(e2,e1) != op(e2,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e0) != op(e0,e4)
& op(e2,e4) != op(e3,e4)
& op(e0,e4) != op(e1,e4)
& op(e2,e1) != op(e3,e1)
& op(e0,e1) != op(e0,e4)
& op(e1,e1) != op(e4,e1)
& op(e1,e0) != op(e1,e4)
& op(e2,e4) != op(e4,e4)
& op(e0,e3) != op(e2,e3)
& op(e1,e0) != op(e1,e3)
& op(e2,e3) != op(e4,e3)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e1,e0) != op(e4,e0)
& op(e3,e0) != op(e4,e0)
& op(e3,e3) != op(e4,e3)
& op(e0,e0) != op(e2,e0)
& op(e3,e0) != op(e3,e3)
& op(e2,e3) != op(e3,e3)
& op(e0,e0) != op(e3,e0)
& op(e0,e4) != op(e2,e4)
& op(e4,e1) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e1) != op(e3,e1)
& op(e1,e2) != op(e1,e4)
& op(e0,e0) != op(e1,e0)
& op(e3,e2) != op(e3,e4)
& op(e3,e4) != op(e4,e4)
& op(e1,e2) != op(e3,e2)
& op(e4,e0) != op(e4,e4)
& op(e2,e3) != op(e2,e4)
& op(e4,e0) != op(e4,e1)
& op(e1,e3) != op(e1,e4)
& op(e2,e2) != op(e2,e3)
& op(e0,e1) != op(e1,e1)
& op(e2,e1) != op(e4,e1)
& op(e3,e0) != op(e3,e4)
& op(e2,e2) != op(e3,e2)
& op(e3,e1) != op(e4,e1)
& op(e1,e2) != op(e2,e2)
& op(e0,e0) != op(e0,e1)
& op(e1,e3) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e2,e0) != op(e4,e0)
& op(e3,e2) != op(e4,e2)
& op(e0,e1) != op(e0,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f2400,plain,
( ~ spl0_41
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f2399]) ).
fof(f2399,plain,
( $false
| ~ spl0_41
| ~ spl0_87 ),
inference(subsumption_resolution,[],[f2398,f87]) ).
fof(f2398,plain,
( e0 = e2
| ~ spl0_41
| ~ spl0_87 ),
inference(forward_demodulation,[],[f413,f616]) ).
fof(f616,plain,
( e0 = op(e4,e4)
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f614,plain,
( spl0_87
<=> e0 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f413,plain,
( e2 = op(e4,e4)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f411,plain,
( spl0_41
<=> e2 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f2377,plain,
( ~ spl0_5
| spl0_122
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f2376]) ).
fof(f2376,plain,
( $false
| ~ spl0_5
| spl0_122
| ~ spl0_125 ),
inference(subsumption_resolution,[],[f2375,f790]) ).
fof(f790,plain,
( e0 != unit
| spl0_122 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f789,plain,
( spl0_122
<=> e0 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f2375,plain,
( e0 = unit
| ~ spl0_5
| ~ spl0_125 ),
inference(forward_demodulation,[],[f2360,f2356]) ).
fof(f2356,plain,
( unit = op(unit,unit)
| ~ spl0_125 ),
inference(backward_demodulation,[],[f78,f803]) ).
fof(f78,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2360,plain,
( e0 = op(unit,unit)
| ~ spl0_5
| ~ spl0_125 ),
inference(backward_demodulation,[],[f259,f803]) ).
fof(f259,plain,
( e0 = op(e3,e3)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f257,plain,
( spl0_5
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f2119,plain,
( spl0_37
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f2118]) ).
fof(f2118,plain,
( $false
| spl0_37
| ~ spl0_124 ),
inference(subsumption_resolution,[],[f2117,f75]) ).
fof(f75,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2117,plain,
( e2 != op(e2,unit)
| spl0_37
| ~ spl0_124 ),
inference(forward_demodulation,[],[f394,f799]) ).
fof(f799,plain,
( e4 = unit
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f797,plain,
( spl0_124
<=> e4 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f394,plain,
( e2 != op(e2,e4)
| spl0_37 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f393,plain,
( spl0_37
<=> e2 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f1577,plain,
( ~ spl0_66
| ~ spl0_123 ),
inference(avatar_contradiction_clause,[],[f1576]) ).
fof(f1576,plain,
( $false
| ~ spl0_66
| ~ spl0_123 ),
inference(subsumption_resolution,[],[f1575,f80]) ).
fof(f80,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f1575,plain,
( e0 = e1
| ~ spl0_66
| ~ spl0_123 ),
inference(forward_demodulation,[],[f1567,f70]) ).
fof(f70,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f1567,plain,
( e0 = op(e1,unit)
| ~ spl0_66
| ~ spl0_123 ),
inference(backward_demodulation,[],[f521,f795]) ).
fof(f795,plain,
( e2 = unit
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f793,plain,
( spl0_123
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f1501,plain,
( ~ spl0_49
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1500,f556,f446]) ).
fof(f446,plain,
( spl0_49
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f556,plain,
( spl0_74
<=> e1 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f1500,plain,
( e1 != op(e1,e0)
| ~ spl0_74 ),
inference(forward_demodulation,[],[f130,f558]) ).
fof(f558,plain,
( e1 = op(e1,e4)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f130,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1283,plain,
( spl0_70
| ~ spl0_122 ),
inference(avatar_contradiction_clause,[],[f1282]) ).
fof(f1282,plain,
( $false
| spl0_70
| ~ spl0_122 ),
inference(subsumption_resolution,[],[f1281,f75]) ).
fof(f1281,plain,
( e2 != op(e2,unit)
| spl0_70
| ~ spl0_122 ),
inference(forward_demodulation,[],[f538,f791]) ).
fof(f791,plain,
( e0 = unit
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f538,plain,
( e2 != op(e2,e0)
| spl0_70 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f537,plain,
( spl0_70
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f952,plain,
( spl0_41
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f940,f287,f411]) ).
fof(f287,plain,
( spl0_12
<=> e4 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f940,plain,
( e2 = op(e4,e4)
| ~ spl0_12 ),
inference(backward_demodulation,[],[f11,f289]) ).
fof(f289,plain,
( e4 = op(e1,e1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f11,plain,
e2 = op(op(e1,e1),op(e1,e1)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1)))
& e4 = op(e1,e1)
& e2 = op(op(e1,e1),op(e1,e1))
& e0 = op(e1,op(op(e1,e1),op(e1,e1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f938,plain,
( ~ spl0_37
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f928,f541,f393]) ).
fof(f541,plain,
( spl0_71
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f928,plain,
( e2 != op(e2,e4)
| ~ spl0_71 ),
inference(backward_demodulation,[],[f105,f543]) ).
fof(f543,plain,
( e2 = op(e2,e3)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f105,plain,
op(e2,e3) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f936,plain,
( ~ spl0_70
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f932,f541,f537]) ).
fof(f932,plain,
( e2 != op(e2,e0)
| ~ spl0_71 ),
inference(backward_demodulation,[],[f149,f543]) ).
fof(f149,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f864,plain,
spl0_66,
inference(avatar_split_clause,[],[f862,f519]) ).
fof(f862,plain,
e0 = op(e1,e2),
inference(backward_demodulation,[],[f10,f11]) ).
fof(f10,plain,
e0 = op(e1,op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f863,plain,
spl0_45,
inference(avatar_split_clause,[],[f861,f429]) ).
fof(f429,plain,
( spl0_45
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f861,plain,
e3 = op(e2,e2),
inference(backward_demodulation,[],[f13,f11]) ).
fof(f13,plain,
e3 = op(op(op(e1,e1),op(e1,e1)),op(op(e1,e1),op(e1,e1))),
inference(cnf_transformation,[],[f6]) ).
fof(f808,plain,
( spl0_122
| spl0_123
| spl0_124
| spl0_125
| spl0_126 ),
inference(avatar_split_clause,[],[f73,f805,f801,f797,f793,f789]) ).
fof(f73,plain,
( e1 = unit
| e3 = unit
| e4 = unit
| e2 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f760,plain,
( spl0_70
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f15,f725,f537]) ).
fof(f725,plain,
( spl0_111
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f15,plain,
( e0 != op(e2,e2)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e2 != op(e4,e4)
| e4 = op(e4,e2) )
& ( op(e0,e0) = e4
| e4 = op(e4,e4)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| e4 = op(e1,e1) )
& ( e4 != op(e2,e2)
| e2 = op(e2,e4) )
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e2 != op(e1,e1)
| e1 = op(e1,e2) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( op(e0,e0) != e1
| e0 = op(e0,e1) )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e1 != op(e3,e3)
| e3 = op(e3,e1) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0) )
& ( e0 != op(e4,e4)
| e4 = op(e4,e0) )
& ( e4 != op(e1,e1)
| e1 = op(e1,e4) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e1 != op(e2,e2)
| e2 = op(e2,e1) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e0 = op(e4,e4)
| e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e1,e1)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( op(e0,e0) = e1
| e1 = op(e1,e1)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e4,e4) )
& ( e2 = op(e3,e3)
| e2 = op(e2,e2)
| op(e0,e0) = e2
| e2 = op(e1,e1)
| e2 = op(e4,e4) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e3 = op(e1,e1)
| e3 = op(e4,e4)
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| op(e0,e0) = e3 )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( op(e0,e0) != e2
| e0 = op(e0,e2) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e2 != op(e4,e4)
| e4 = op(e4,e2) )
& ( op(e0,e0) = e4
| e4 = op(e4,e4)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| e4 = op(e1,e1) )
& ( e4 != op(e2,e2)
| e2 = op(e2,e4) )
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e2 != op(e1,e1)
| e1 = op(e1,e2) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( op(e0,e0) != e1
| e0 = op(e0,e1) )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e1 != op(e3,e3)
| e3 = op(e3,e1) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0) )
& ( e0 != op(e4,e4)
| e4 = op(e4,e0) )
& ( e4 != op(e1,e1)
| e1 = op(e1,e4) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e1 != op(e2,e2)
| e2 = op(e2,e1) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e0 = op(e4,e4)
| e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e1,e1)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( op(e0,e0) = e1
| e1 = op(e1,e1)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e4,e4) )
& ( e2 = op(e3,e3)
| e2 = op(e2,e2)
| op(e0,e0) = e2
| e2 = op(e1,e1)
| e2 = op(e4,e4) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e3 = op(e1,e1)
| e3 = op(e4,e4)
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| op(e0,e0) = e3 )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( op(e0,e0) != e2
| e0 = op(e0,e2) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e2 != op(e4,e4)
| e4 = op(e4,e2) )
& ( op(e0,e0) = e4
| e4 = op(e4,e4)
| e4 = op(e3,e3)
| e4 = op(e2,e2)
| e4 = op(e1,e1) )
& ( e4 != op(e2,e2)
| e2 = op(e2,e4) )
& ( e1 != op(e1,e1)
| e1 = op(e1,e1) )
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e2 != op(e1,e1)
| e1 = op(e1,e2) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( op(e0,e0) != e1
| e0 = op(e0,e1) )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e1 != op(e3,e3)
| e3 = op(e3,e1) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0) )
& ( e0 != op(e4,e4)
| e4 = op(e4,e0) )
& ( e4 != op(e1,e1)
| e1 = op(e1,e4) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e1 != op(e2,e2)
| e2 = op(e2,e1) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e0 = op(e4,e4)
| e0 = op(e2,e2)
| e0 = op(e3,e3)
| e0 = op(e1,e1)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( op(e0,e0) = e1
| e1 = op(e1,e1)
| e1 = op(e3,e3)
| e1 = op(e2,e2)
| e1 = op(e4,e4) )
& ( e2 = op(e3,e3)
| e2 = op(e2,e2)
| op(e0,e0) = e2
| e2 = op(e1,e1)
| e2 = op(e4,e4) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e3 = op(e1,e1)
| e3 = op(e4,e4)
| e3 = op(e3,e3)
| e3 = op(e2,e2)
| op(e0,e0) = e3 )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e2 != op(e2,e2)
| e2 = op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( op(e0,e0) != e2
| e0 = op(e0,e2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f739,plain,
( spl0_74
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f30,f287,f556]) ).
fof(f30,plain,
( e4 != op(e1,e1)
| e1 = op(e1,e4) ),
inference(cnf_transformation,[],[f9]) ).
fof(f737,plain,
( spl0_28
| spl0_5
| spl0_11
| spl0_87
| spl0_111 ),
inference(avatar_split_clause,[],[f26,f725,f614,f283,f257,f355]) ).
fof(f283,plain,
( spl0_11
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f26,plain,
( e0 = op(e2,e2)
| e0 = op(e4,e4)
| e0 = op(e1,e1)
| e0 = op(e3,e3)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f573,plain,
( ~ spl0_45
| spl0_71 ),
inference(avatar_split_clause,[],[f21,f541,f429]) ).
fof(f21,plain,
( e2 = op(e2,e3)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f572,plain,
( ~ spl0_11
| spl0_49 ),
inference(avatar_split_clause,[],[f29,f446,f283]) ).
fof(f29,plain,
( e1 = op(e1,e0)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f554,plain,
spl0_12,
inference(avatar_split_clause,[],[f12,f287]) ).
fof(f12,plain,
e4 = op(e1,e1),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG054+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 15:15:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (29806)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)
% 0.20/0.55 % (29797)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)
% 0.20/0.56 % (29798)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)
% 0.20/0.56 % (29790)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56 % (29789)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)
% 0.20/0.56 % (29790)Instruction limit reached!
% 0.20/0.56 % (29790)------------------------------
% 0.20/0.56 % (29790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (29790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (29790)Termination reason: Unknown
% 0.20/0.57 % (29790)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (29790)Memory used [KB]: 5628
% 0.20/0.57 % (29790)Time elapsed: 0.008 s
% 0.20/0.57 % (29790)Instructions burned: 8 (million)
% 0.20/0.57 % (29790)------------------------------
% 0.20/0.57 % (29790)------------------------------
% 0.20/0.57 % (29805)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)
% 0.20/0.60 % (29804)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.61 % (29803)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.61 % (29810)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)
% 0.20/0.61 % (29787)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.61 % (29786)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)
% 0.20/0.61 % (29796)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.91/0.61 % (29801)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.91/0.62 % (29788)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)
% 1.91/0.62 % (29811)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.91/0.62 % (29807)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.91/0.62 % (29809)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)
% 1.91/0.62 % (29785)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)
% 1.91/0.62 % (29783)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)
% 1.91/0.62 % (29794)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)
% 1.91/0.63 % (29795)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.91/0.63 % (29812)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)
% 1.91/0.63 % (29802)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)
% 1.91/0.63 % (29793)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.91/0.63 % (29806)First to succeed.
% 1.91/0.63 % (29799)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)
% 1.91/0.64 % (29791)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.91/0.64 % (29791)Instruction limit reached!
% 1.91/0.64 % (29791)------------------------------
% 1.91/0.64 % (29791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.64 % (29791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.64 % (29791)Termination reason: Unknown
% 1.91/0.64 % (29791)Termination phase: Preprocessing 3
% 1.91/0.64
% 1.91/0.64 % (29791)Memory used [KB]: 1023
% 1.91/0.64 % (29791)Time elapsed: 0.004 s
% 1.91/0.64 % (29791)Instructions burned: 3 (million)
% 1.91/0.64 % (29791)------------------------------
% 1.91/0.64 % (29791)------------------------------
% 2.09/0.64 % (29806)Refutation found. Thanks to Tanya!
% 2.09/0.64 % SZS status Theorem for theBenchmark
% 2.09/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 2.09/0.64 % (29806)------------------------------
% 2.09/0.64 % (29806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64 % (29806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64 % (29806)Termination reason: Refutation
% 2.09/0.64
% 2.09/0.64 % (29806)Memory used [KB]: 6780
% 2.09/0.64 % (29806)Time elapsed: 0.069 s
% 2.09/0.64 % (29806)Instructions burned: 51 (million)
% 2.09/0.64 % (29806)------------------------------
% 2.09/0.64 % (29806)------------------------------
% 2.09/0.64 % (29782)Success in time 0.286 s
%------------------------------------------------------------------------------