TSTP Solution File: ALG039+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG039+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 : Mon May 20 18:23:04 EDT 2024
% Result : Theorem 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 45
% Syntax : Number of formulae : 149 ( 63 unt; 0 def)
% Number of atoms : 512 ( 368 equ)
% Maximal formula atoms : 48 ( 3 avg)
% Number of connectives : 569 ( 206 ~; 133 |; 193 &)
% ( 37 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 42 ( 40 usr; 41 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f375,plain,
$false,
inference(avatar_sat_refutation,[],[f189,f194,f199,f204,f209,f214,f219,f236,f253,f259,f264,f269,f274,f279,f284,f289,f294,f295,f300,f305,f310,f315,f320,f325,f330,f335,f340,f345,f350,f351,f354,f356,f361,f362,f366,f368,f369,f372,f374]) ).
fof(f374,plain,
( ~ spl3_1
| spl3_14 ),
inference(avatar_split_clause,[],[f30,f233,f174]) ).
fof(f174,plain,
( spl3_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f233,plain,
( spl3_14
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f30,plain,
( e0 = op(e3,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
( ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f372,plain,
( ~ spl3_1
| spl3_13 ),
inference(avatar_split_clause,[],[f29,f229,f174]) ).
fof(f229,plain,
( spl3_13
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f29,plain,
( e0 = op(e2,e2)
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f369,plain,
( ~ spl3_1
| spl3_11 ),
inference(avatar_split_clause,[],[f27,f221,f174]) ).
fof(f221,plain,
( spl3_11
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f27,plain,
( e0 = op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f368,plain,
( ~ spl3_1
| spl3_7
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f367,f186,f201,f174]) ).
fof(f201,plain,
( spl3_7
<=> e0 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f186,plain,
( spl3_4
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f367,plain,
( e0 = e3
| ~ sP0
| ~ spl3_4 ),
inference(forward_demodulation,[],[f27,f188]) ).
fof(f188,plain,
( op(e0,e0) = e3
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f366,plain,
( spl3_1
| spl3_2
| spl3_3
| spl3_7
| ~ spl3_12 ),
inference(avatar_split_clause,[],[f357,f225,f201,f182,f178,f174]) ).
fof(f178,plain,
( spl3_2
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f182,plain,
( spl3_3
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f225,plain,
( spl3_12
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f357,plain,
( e0 = e3
| sP2
| sP1
| sP0
| ~ spl3_12 ),
inference(forward_demodulation,[],[f32,f226]) ).
fof(f226,plain,
( e0 = op(e1,e1)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f32,plain,
( e3 = op(e1,e1)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( ( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3 )
& ( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2 )
& ( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 )
& ( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) )
& ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f11,f14,f13,f12]) ).
fof(f13,plain,
( ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f14,plain,
( ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
( ( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3 )
& ( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2 )
& ( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 )
& ( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) )
& ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
( ( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3 )
& ( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2 )
& ( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 )
& ( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) )
& ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
( ~ ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) )
& ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ~ ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) )
& ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ~ ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) )
& ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f362,plain,
( ~ spl3_3
| spl3_6
| ~ spl3_12 ),
inference(avatar_split_clause,[],[f359,f225,f196,f182]) ).
fof(f196,plain,
( spl3_6
<=> e0 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f359,plain,
( e0 = e2
| ~ sP2
| ~ spl3_12 ),
inference(forward_demodulation,[],[f20,f226]) ).
fof(f20,plain,
( e2 = op(e1,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ~ sP2 ),
inference(nnf_transformation,[],[f14]) ).
fof(f361,plain,
( ~ spl3_3
| spl3_8
| ~ spl3_15 ),
inference(avatar_split_clause,[],[f358,f238,f206,f182]) ).
fof(f206,plain,
( spl3_8
<=> e1 = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f238,plain,
( spl3_15
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f358,plain,
( e1 = e2
| ~ sP2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f19,f239]) ).
fof(f239,plain,
( op(e0,e0) = e1
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f19,plain,
( op(e0,e0) = e2
| ~ sP2 ),
inference(cnf_transformation,[],[f16]) ).
fof(f356,plain,
( spl3_5
| ~ spl3_12
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f355,f242,f225,f191]) ).
fof(f191,plain,
( spl3_5
<=> e0 = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f242,plain,
( spl3_16
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f355,plain,
( e0 = e1
| ~ spl3_12
| ~ spl3_16 ),
inference(forward_demodulation,[],[f243,f226]) ).
fof(f243,plain,
( e1 = op(e1,e1)
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f354,plain,
( ~ spl3_2
| spl3_16 ),
inference(avatar_split_clause,[],[f24,f242,f178]) ).
fof(f24,plain,
( e1 = op(e1,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP1 ),
inference(nnf_transformation,[],[f13]) ).
fof(f351,plain,
( ~ spl3_2
| spl3_15 ),
inference(avatar_split_clause,[],[f23,f238,f178]) ).
fof(f23,plain,
( op(e0,e0) = e1
| ~ sP1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f350,plain,
~ spl3_37,
inference(avatar_split_clause,[],[f163,f347]) ).
fof(f347,plain,
( spl3_37
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_37])]) ).
fof(f163,plain,
e0 != op(e0,e1),
inference(forward_demodulation,[],[f62,f54]) ).
fof(f54,plain,
e0 = op(e1,e1),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e2 = op(e3,e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f62,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f345,plain,
~ spl3_36,
inference(avatar_split_clause,[],[f162,f342]) ).
fof(f342,plain,
( spl3_36
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_36])]) ).
fof(f162,plain,
e2 != op(e0,e1),
inference(forward_demodulation,[],[f64,f55]) ).
fof(f55,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f6]) ).
fof(f64,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f340,plain,
~ spl3_35,
inference(avatar_split_clause,[],[f161,f337]) ).
fof(f337,plain,
( spl3_35
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).
fof(f161,plain,
e0 != op(e2,e1),
inference(forward_demodulation,[],[f65,f54]) ).
fof(f65,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f335,plain,
~ spl3_34,
inference(avatar_split_clause,[],[f158,f332]) ).
fof(f332,plain,
( spl3_34
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).
fof(f158,plain,
e2 != op(e2,e1),
inference(forward_demodulation,[],[f67,f55]) ).
fof(f67,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f330,plain,
~ spl3_33,
inference(avatar_split_clause,[],[f157,f327]) ).
fof(f327,plain,
( spl3_33
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_33])]) ).
fof(f157,plain,
e0 != op(e1,e0),
inference(forward_demodulation,[],[f86,f54]) ).
fof(f86,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f325,plain,
~ spl3_32,
inference(avatar_split_clause,[],[f156,f322]) ).
fof(f322,plain,
( spl3_32
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).
fof(f156,plain,
e0 != op(e1,e2),
inference(forward_demodulation,[],[f89,f54]) ).
fof(f89,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f320,plain,
~ spl3_31,
inference(avatar_split_clause,[],[f155,f317]) ).
fof(f317,plain,
( spl3_31
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).
fof(f155,plain,
e0 != op(e1,e3),
inference(forward_demodulation,[],[f90,f54]) ).
fof(f90,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f315,plain,
~ spl3_30,
inference(avatar_split_clause,[],[f154,f312]) ).
fof(f312,plain,
( spl3_30
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).
fof(f154,plain,
e2 != op(e3,e0),
inference(forward_demodulation,[],[f98,f55]) ).
fof(f98,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f310,plain,
~ spl3_29,
inference(avatar_split_clause,[],[f153,f307]) ).
fof(f307,plain,
( spl3_29
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).
fof(f153,plain,
e2 != op(e3,e2),
inference(forward_demodulation,[],[f101,f55]) ).
fof(f101,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f305,plain,
~ spl3_28,
inference(avatar_split_clause,[],[f152,f302]) ).
fof(f302,plain,
( spl3_28
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).
fof(f152,plain,
e2 != op(e3,e3),
inference(forward_demodulation,[],[f102,f55]) ).
fof(f102,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f300,plain,
spl3_27,
inference(avatar_split_clause,[],[f55,f297]) ).
fof(f297,plain,
( spl3_27
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).
fof(f295,plain,
spl3_12,
inference(avatar_split_clause,[],[f54,f225]) ).
fof(f294,plain,
spl3_26,
inference(avatar_split_clause,[],[f52,f291]) ).
fof(f291,plain,
( spl3_26
<=> e3 = op(e3,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).
fof(f52,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit )
& e3 = op(e3,unit)
& e3 = op(unit,e3)
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& e1 = op(e1,unit)
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& e0 = op(unit,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f289,plain,
spl3_25,
inference(avatar_split_clause,[],[f51,f286]) ).
fof(f286,plain,
( spl3_25
<=> e3 = op(unit,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).
fof(f51,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f284,plain,
spl3_24,
inference(avatar_split_clause,[],[f50,f281]) ).
fof(f281,plain,
( spl3_24
<=> e2 = op(e2,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f50,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f279,plain,
spl3_23,
inference(avatar_split_clause,[],[f49,f276]) ).
fof(f276,plain,
( spl3_23
<=> e2 = op(unit,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).
fof(f49,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f274,plain,
spl3_22,
inference(avatar_split_clause,[],[f48,f271]) ).
fof(f271,plain,
( spl3_22
<=> e1 = op(e1,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f48,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f269,plain,
spl3_21,
inference(avatar_split_clause,[],[f47,f266]) ).
fof(f266,plain,
( spl3_21
<=> e1 = op(unit,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f47,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f264,plain,
spl3_20,
inference(avatar_split_clause,[],[f46,f261]) ).
fof(f261,plain,
( spl3_20
<=> e0 = op(e0,unit) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f46,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f259,plain,
spl3_19,
inference(avatar_split_clause,[],[f45,f256]) ).
fof(f256,plain,
( spl3_19
<=> e0 = op(unit,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f45,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f253,plain,
( ~ spl3_15
| ~ spl3_16
| ~ spl3_17
| ~ spl3_18 ),
inference(avatar_split_clause,[],[f36,f250,f246,f242,f238]) ).
fof(f246,plain,
( spl3_17
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f250,plain,
( spl3_18
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f36,plain,
( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f236,plain,
( ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_14 ),
inference(avatar_split_clause,[],[f35,f233,f229,f225,f221]) ).
fof(f35,plain,
( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f219,plain,
~ spl3_10,
inference(avatar_split_clause,[],[f44,f216]) ).
fof(f216,plain,
( spl3_10
<=> e2 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f44,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f214,plain,
~ spl3_9,
inference(avatar_split_clause,[],[f43,f211]) ).
fof(f211,plain,
( spl3_9
<=> e1 = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f43,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f209,plain,
~ spl3_8,
inference(avatar_split_clause,[],[f42,f206]) ).
fof(f42,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f204,plain,
~ spl3_7,
inference(avatar_split_clause,[],[f41,f201]) ).
fof(f41,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f199,plain,
~ spl3_6,
inference(avatar_split_clause,[],[f40,f196]) ).
fof(f40,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f194,plain,
~ spl3_5,
inference(avatar_split_clause,[],[f39,f191]) ).
fof(f39,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f189,plain,
( spl3_1
| spl3_2
| spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f31,f186,f182,f178,f174]) ).
fof(f31,plain,
( op(e0,e0) = e3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG039+1 : TPTP v8.2.0. Released v2.7.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 23:27:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (20566)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (20577)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (20576)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (20579)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (20581)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.38 % (20580)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.38 % (20582)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.38 % (20578)WARNING: value z3 for option sas not known
% 0.21/0.39 % (20578)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.39 % (20580)First to succeed.
% 0.21/0.39 % (20578)Also succeeded, but the first one will report.
% 0.21/0.39 % (20580)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20566"
% 0.21/0.39 Detected minimum model sizes of [4]
% 0.21/0.39 Detected maximum model sizes of [max]
% 0.21/0.39 % (20580)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Theorem for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39 % (20580)------------------------------
% 0.21/0.39 % (20580)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.39 % (20580)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (20580)Memory used [KB]: 937
% 0.21/0.39 % (20580)Time elapsed: 0.013 s
% 0.21/0.39 % (20580)Instructions burned: 21 (million)
% 0.21/0.39 % (20566)Success in time 0.033 s
%------------------------------------------------------------------------------