TSTP Solution File: SEU156+3 by Vampire-SAT---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SEU156+3 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n029.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 Jun 24 15:45:32 EDT 2024
% Result : Theorem 0.16s 0.42s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 21
% Syntax : Number of formulae : 128 ( 18 unt; 0 def)
% Number of atoms : 311 ( 137 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 336 ( 153 ~; 161 |; 5 &)
% ( 12 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 13 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 102 ( 98 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f839,plain,
$false,
inference(avatar_sat_refutation,[],[f47,f139,f179,f226,f364,f442,f445,f459,f462,f476,f572,f604,f612,f725,f761,f775,f804,f837]) ).
fof(f837,plain,
~ spl6_6,
inference(avatar_contradiction_clause,[],[f836]) ).
fof(f836,plain,
( $false
| ~ spl6_6 ),
inference(equality_resolution,[],[f138]) ).
fof(f138,plain,
( ! [X0] : unordered_pair(X0,X0) != unordered_pair(sK2,sK2)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl6_6
<=> ! [X0] : unordered_pair(X0,X0) != unordered_pair(sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f804,plain,
( ~ spl6_2
| spl6_3
| ~ spl6_8 ),
inference(avatar_contradiction_clause,[],[f803]) ).
fof(f803,plain,
( $false
| ~ spl6_2
| spl6_3
| ~ spl6_8 ),
inference(trivial_inequality_removal,[],[f802]) ).
fof(f802,plain,
( unordered_pair(sK0,sK0) != unordered_pair(sK0,sK0)
| ~ spl6_2
| spl6_3
| ~ spl6_8 ),
inference(superposition,[],[f777,f45]) ).
fof(f45,plain,
( sK0 = sK2
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f44,plain,
( spl6_2
<=> sK0 = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f777,plain,
( unordered_pair(sK0,sK0) != unordered_pair(sK2,sK2)
| spl6_3
| ~ spl6_8 ),
inference(backward_demodulation,[],[f103,f178]) ).
fof(f178,plain,
( unordered_pair(sK0,sK0) = unordered_pair(sK2,sK3)
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f176,plain,
( spl6_8
<=> unordered_pair(sK0,sK0) = unordered_pair(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f103,plain,
( unordered_pair(sK2,sK3) != unordered_pair(sK2,sK2)
| spl6_3 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl6_3
<=> unordered_pair(sK2,sK3) = unordered_pair(sK2,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).
fof(f775,plain,
( spl6_11
| ~ spl6_4
| ~ spl6_12 ),
inference(avatar_split_clause,[],[f773,f436,f106,f370]) ).
fof(f370,plain,
( spl6_11
<=> ! [X0] : unordered_pair(X0,X0) != unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
fof(f106,plain,
( spl6_4
<=> ! [X0] : unordered_pair(X0,X0) != unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
fof(f436,plain,
( spl6_12
<=> sK0 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
fof(f773,plain,
( ! [X0] : unordered_pair(X0,X0) != unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK0))
| ~ spl6_4
| ~ spl6_12 ),
inference(backward_demodulation,[],[f107,f438]) ).
fof(f438,plain,
( sK0 = sK1
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f107,plain,
( ! [X0] : unordered_pair(X0,X0) != unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK1))
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f761,plain,
( spl6_1
| ~ spl6_2
| spl6_5
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f760]) ).
fof(f760,plain,
( $false
| spl6_1
| ~ spl6_2
| spl6_5
| ~ spl6_7 ),
inference(subsumption_resolution,[],[f759,f42]) ).
fof(f42,plain,
( sK1 != sK3
| spl6_1 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl6_1
<=> sK1 = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f759,plain,
( sK1 = sK3
| ~ spl6_2
| spl6_5
| ~ spl6_7 ),
inference(subsumption_resolution,[],[f758,f726]) ).
fof(f726,plain,
( sK0 != sK3
| ~ spl6_2
| spl6_5 ),
inference(backward_demodulation,[],[f134,f45]) ).
fof(f134,plain,
( sK2 != sK3
| spl6_5 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl6_5
<=> sK2 = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f758,plain,
( sK0 = sK3
| sK1 = sK3
| ~ spl6_7 ),
inference(equality_resolution,[],[f565]) ).
fof(f565,plain,
( ! [X0,X1] :
( unordered_pair(X0,X1) != unordered_pair(sK0,sK1)
| sK3 = X0
| sK3 = X1 )
| ~ spl6_7 ),
inference(superposition,[],[f75,f174]) ).
fof(f174,plain,
( unordered_pair(sK0,sK1) = unordered_pair(sK2,sK3)
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl6_7
<=> unordered_pair(sK0,sK1) = unordered_pair(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f75,plain,
! [X2,X3,X0,X1] :
( unordered_pair(X1,X0) != unordered_pair(X2,X3)
| X0 = X2
| X0 = X3 ),
inference(superposition,[],[f30,f25]) ).
fof(f25,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f30,plain,
! [X2,X3,X0,X1] :
( unordered_pair(X0,X1) != unordered_pair(X2,X3)
| X0 = X2
| X0 = X3 ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2,X3] :
( X0 = X3
| X0 = X2
| unordered_pair(X0,X1) != unordered_pair(X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
~ ( X0 != X3
& X0 != X2
& unordered_pair(X0,X1) = unordered_pair(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f725,plain,
( spl6_2
| ~ spl6_7
| spl6_10 ),
inference(avatar_split_clause,[],[f722,f366,f172,f44]) ).
fof(f366,plain,
( spl6_10
<=> unordered_pair(sK0,sK1) = unordered_pair(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f722,plain,
( sK0 = sK2
| ~ spl6_7
| spl6_10 ),
inference(resolution,[],[f685,f23]) ).
fof(f23,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f685,plain,
( ! [X0] :
( ~ subset(unordered_pair(sK0,sK0),unordered_pair(X0,X0))
| sK2 = X0 )
| ~ spl6_7
| spl6_10 ),
inference(superposition,[],[f36,f663]) ).
fof(f663,plain,
( unordered_pair(sK0,sK0) = unordered_pair(sK2,sK2)
| ~ spl6_7
| spl6_10 ),
inference(subsumption_resolution,[],[f662,f367]) ).
fof(f367,plain,
( unordered_pair(sK0,sK1) != unordered_pair(sK0,sK0)
| spl6_10 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f662,plain,
( unordered_pair(sK0,sK1) = unordered_pair(sK0,sK0)
| unordered_pair(sK0,sK0) = unordered_pair(sK2,sK2)
| ~ spl6_7 ),
inference(equality_resolution,[],[f617]) ).
fof(f617,plain,
( ! [X0,X1] :
( unordered_pair(X0,X1) != unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK1))
| unordered_pair(sK0,sK1) = X0
| unordered_pair(sK2,sK2) = X0 )
| ~ spl6_7 ),
inference(backward_demodulation,[],[f91,f174]) ).
fof(f91,plain,
! [X0,X1] :
( unordered_pair(X0,X1) != unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK1))
| unordered_pair(sK2,sK3) = X0
| unordered_pair(sK2,sK2) = X0 ),
inference(superposition,[],[f30,f48]) ).
fof(f48,plain,
unordered_pair(unordered_pair(sK2,sK3),unordered_pair(sK2,sK2)) = unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK1)),
inference(backward_demodulation,[],[f34,f25]) ).
fof(f34,plain,
unordered_pair(unordered_pair(sK0,sK1),unordered_pair(sK0,sK0)) = unordered_pair(unordered_pair(sK2,sK3),unordered_pair(sK2,sK2)),
inference(definition_unfolding,[],[f21,f33,f33]) ).
fof(f33,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f26,f22]) ).
fof(f22,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f26,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f21,plain,
ordered_pair(sK0,sK1) = ordered_pair(sK2,sK3),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
? [X0,X1,X2,X3] :
( ( X1 != X3
| X0 != X2 )
& ordered_pair(X0,X1) = ordered_pair(X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ordered_pair(X0,X1) = ordered_pair(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0,X1,X2,X3] :
( ordered_pair(X0,X1) = ordered_pair(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f36,plain,
! [X0,X1] :
( ~ subset(unordered_pair(X0,X0),unordered_pair(X1,X1))
| X0 = X1 ),
inference(definition_unfolding,[],[f27,f22,f22]) ).
fof(f27,plain,
! [X0,X1] :
( ~ subset(singleton(X0),singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(singleton(X0),singleton(X1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( subset(singleton(X0),singleton(X1))
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f612,plain,
( spl6_3
| spl6_4 ),
inference(avatar_split_clause,[],[f160,f106,f102]) ).
fof(f160,plain,
! [X0] :
( unordered_pair(X0,X0) != unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK1))
| unordered_pair(sK2,sK3) = unordered_pair(sK2,sK2) ),
inference(superposition,[],[f37,f85]) ).
fof(f85,plain,
unordered_pair(unordered_pair(sK2,sK2),unordered_pair(sK2,sK3)) = unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK1)),
inference(superposition,[],[f48,f25]) ).
fof(f37,plain,
! [X2,X0,X1] :
( unordered_pair(X0,X0) != unordered_pair(X1,X2)
| X1 = X2 ),
inference(definition_unfolding,[],[f28,f22]) ).
fof(f28,plain,
! [X2,X0,X1] :
( singleton(X0) != unordered_pair(X1,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2] :
( X1 = X2
| singleton(X0) != unordered_pair(X1,X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X2] :
( singleton(X0) = unordered_pair(X1,X2)
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f604,plain,
( ~ spl6_7
| spl6_8
| ~ spl6_12 ),
inference(avatar_contradiction_clause,[],[f603]) ).
fof(f603,plain,
( $false
| ~ spl6_7
| spl6_8
| ~ spl6_12 ),
inference(subsumption_resolution,[],[f574,f177]) ).
fof(f177,plain,
( unordered_pair(sK0,sK0) != unordered_pair(sK2,sK3)
| spl6_8 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f574,plain,
( unordered_pair(sK0,sK0) = unordered_pair(sK2,sK3)
| ~ spl6_7
| ~ spl6_12 ),
inference(backward_demodulation,[],[f174,f438]) ).
fof(f572,plain,
( spl6_10
| ~ spl6_3
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f569,f172,f102,f366]) ).
fof(f569,plain,
( unordered_pair(sK0,sK1) = unordered_pair(sK0,sK0)
| ~ spl6_3
| ~ spl6_7 ),
inference(equality_resolution,[],[f510]) ).
fof(f510,plain,
( ! [X0,X1] :
( unordered_pair(X0,X1) != unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK1))
| X0 = X1 )
| ~ spl6_3
| ~ spl6_7 ),
inference(superposition,[],[f37,f488]) ).
fof(f488,plain,
( unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK1)) = unordered_pair(unordered_pair(sK0,sK1),unordered_pair(sK0,sK1))
| ~ spl6_3
| ~ spl6_7 ),
inference(backward_demodulation,[],[f477,f174]) ).
fof(f477,plain,
( unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK1)) = unordered_pair(unordered_pair(sK2,sK3),unordered_pair(sK0,sK1))
| ~ spl6_3
| ~ spl6_7 ),
inference(backward_demodulation,[],[f48,f375]) ).
fof(f375,plain,
( unordered_pair(sK0,sK1) = unordered_pair(sK2,sK2)
| ~ spl6_3
| ~ spl6_7 ),
inference(backward_demodulation,[],[f104,f174]) ).
fof(f104,plain,
( unordered_pair(sK2,sK3) = unordered_pair(sK2,sK2)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f476,plain,
( spl6_2
| ~ spl6_8 ),
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f475,plain,
( $false
| spl6_2
| ~ spl6_8 ),
inference(subsumption_resolution,[],[f474,f46]) ).
fof(f46,plain,
( sK0 != sK2
| spl6_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f474,plain,
( sK0 = sK2
| ~ spl6_8 ),
inference(equality_resolution,[],[f274]) ).
fof(f274,plain,
( ! [X0] :
( unordered_pair(X0,X0) != unordered_pair(sK0,sK0)
| sK2 = X0 )
| ~ spl6_8 ),
inference(superposition,[],[f38,f178]) ).
fof(f38,plain,
! [X2,X0,X1] :
( unordered_pair(X0,X0) != unordered_pair(X1,X2)
| X0 = X1 ),
inference(definition_unfolding,[],[f29,f22]) ).
fof(f29,plain,
! [X2,X0,X1] :
( singleton(X0) != unordered_pair(X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( X0 = X1
| singleton(X0) != unordered_pair(X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0,X1,X2] :
( singleton(X0) = unordered_pair(X1,X2)
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f462,plain,
~ spl6_11,
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f461,plain,
( $false
| ~ spl6_11 ),
inference(equality_resolution,[],[f371]) ).
fof(f371,plain,
( ! [X0] : unordered_pair(X0,X0) != unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK0))
| ~ spl6_11 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f459,plain,
( ~ spl6_2
| spl6_1
| ~ spl6_5
| ~ spl6_12 ),
inference(avatar_split_clause,[],[f449,f436,f133,f40,f44]) ).
fof(f449,plain,
( sK0 != sK2
| spl6_1
| ~ spl6_5
| ~ spl6_12 ),
inference(backward_demodulation,[],[f246,f438]) ).
fof(f246,plain,
( sK1 != sK2
| spl6_1
| ~ spl6_5 ),
inference(superposition,[],[f42,f135]) ).
fof(f135,plain,
( sK2 = sK3
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f445,plain,
~ spl6_13,
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f444,plain,
( $false
| ~ spl6_13 ),
inference(equality_resolution,[],[f441]) ).
fof(f441,plain,
( ! [X0] : unordered_pair(X0,X0) != unordered_pair(sK0,sK0)
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f440,plain,
( spl6_13
<=> ! [X0] : unordered_pair(X0,X0) != unordered_pair(sK0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).
fof(f442,plain,
( spl6_12
| spl6_13
| ~ spl6_10 ),
inference(avatar_split_clause,[],[f427,f366,f440,f436]) ).
fof(f427,plain,
( ! [X0] :
( unordered_pair(X0,X0) != unordered_pair(sK0,sK0)
| sK0 = sK1 )
| ~ spl6_10 ),
inference(superposition,[],[f37,f368]) ).
fof(f368,plain,
( unordered_pair(sK0,sK1) = unordered_pair(sK0,sK0)
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f364,plain,
( ~ spl6_5
| spl6_7
| ~ spl6_8 ),
inference(avatar_contradiction_clause,[],[f363]) ).
fof(f363,plain,
( $false
| ~ spl6_5
| spl6_7
| ~ spl6_8 ),
inference(equality_resolution,[],[f349]) ).
fof(f349,plain,
( ! [X0] : unordered_pair(X0,X0) != unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK0))
| ~ spl6_5
| spl6_7
| ~ spl6_8 ),
inference(subsumption_resolution,[],[f341,f269]) ).
fof(f269,plain,
( unordered_pair(sK0,sK1) != unordered_pair(sK0,sK0)
| spl6_7
| ~ spl6_8 ),
inference(superposition,[],[f173,f178]) ).
fof(f173,plain,
( unordered_pair(sK0,sK1) != unordered_pair(sK2,sK3)
| spl6_7 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f341,plain,
( ! [X0] :
( unordered_pair(X0,X0) != unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK0))
| unordered_pair(sK0,sK1) = unordered_pair(sK0,sK0) )
| ~ spl6_5
| ~ spl6_8 ),
inference(superposition,[],[f37,f288]) ).
fof(f288,plain,
( unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK1)) = unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK0))
| ~ spl6_5
| ~ spl6_8 ),
inference(backward_demodulation,[],[f228,f268]) ).
fof(f268,plain,
( unordered_pair(sK0,sK0) = unordered_pair(sK2,sK2)
| ~ spl6_5
| ~ spl6_8 ),
inference(superposition,[],[f178,f135]) ).
fof(f228,plain,
( unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK1)) = unordered_pair(unordered_pair(sK2,sK2),unordered_pair(sK0,sK0))
| ~ spl6_8 ),
inference(backward_demodulation,[],[f85,f178]) ).
fof(f226,plain,
( spl6_3
| ~ spl6_5
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f225]) ).
fof(f225,plain,
( $false
| spl6_3
| ~ spl6_5
| ~ spl6_7 ),
inference(subsumption_resolution,[],[f215,f188]) ).
fof(f188,plain,
( unordered_pair(sK0,sK1) != unordered_pair(sK2,sK2)
| spl6_3
| ~ spl6_7 ),
inference(backward_demodulation,[],[f103,f174]) ).
fof(f215,plain,
( unordered_pair(sK0,sK1) = unordered_pair(sK2,sK2)
| ~ spl6_5
| ~ spl6_7 ),
inference(backward_demodulation,[],[f174,f135]) ).
fof(f179,plain,
( spl6_7
| spl6_8 ),
inference(avatar_split_clause,[],[f170,f176,f172]) ).
fof(f170,plain,
( unordered_pair(sK0,sK0) = unordered_pair(sK2,sK3)
| unordered_pair(sK0,sK1) = unordered_pair(sK2,sK3) ),
inference(equality_resolution,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( unordered_pair(X0,X1) != unordered_pair(unordered_pair(sK0,sK0),unordered_pair(sK0,sK1))
| unordered_pair(sK2,sK3) = X0
| unordered_pair(sK2,sK3) = X1 ),
inference(superposition,[],[f30,f48]) ).
fof(f139,plain,
( spl6_5
| spl6_6
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f124,f102,f137,f133]) ).
fof(f124,plain,
( ! [X0] :
( unordered_pair(X0,X0) != unordered_pair(sK2,sK2)
| sK2 = sK3 )
| ~ spl6_3 ),
inference(superposition,[],[f37,f104]) ).
fof(f47,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f20,f44,f40]) ).
fof(f20,plain,
( sK0 != sK2
| sK1 != sK3 ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SEU156+3 : TPTP v8.2.0. Released v3.2.0.
% 0.03/0.10 % Command : run_vampire %s %d SAT
% 0.09/0.30 % Computer : n029.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri Jun 21 11:55:24 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.16/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.32 Running first-order model finding
% 0.16/0.32 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37 % (20363)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37 % (20369)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.16/0.37 % (20363)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.37 % (20370)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.16/0.38 % (20363)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (20366)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.16/0.38 % (20363)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (20367)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.16/0.38 % (20363)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (20368)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 % (20363)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (20364)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.16/0.38 % (20363)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (20365)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:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.16/0.38 TRYING [3]
% 0.16/0.38 TRYING [10]
% 0.16/0.38 TRYING [4]
% 0.16/0.38 TRYING [23]
% 0.16/0.39 TRYING [5]
% 0.16/0.40 TRYING [6]
% 0.16/0.40 % (20370)Instruction limit reached!
% 0.16/0.40 % (20370)------------------------------
% 0.16/0.40 % (20370)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.16/0.40 % (20370)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.16/0.40 % (20370)Termination reason: Time limit
% 0.16/0.40 % (20370)Termination phase: Saturation
% 0.16/0.40
% 0.16/0.40 % (20370)Memory used [KB]: 1261
% 0.16/0.40 % (20370)Time elapsed: 0.031 s
% 0.16/0.40 % (20370)Instructions burned: 118 (million)
% 0.16/0.41 % (20368)First to succeed.
% 0.16/0.41 % (20368)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20363"
% 0.16/0.42 % (20363)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.42 % (20368)Refutation found. Thanks to Tanya!
% 0.16/0.42 % SZS status Theorem for theBenchmark
% 0.16/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.42 % (20368)------------------------------
% 0.16/0.42 % (20368)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.16/0.42 % (20368)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.16/0.42 % (20368)Termination reason: Refutation
% 0.16/0.42
% 0.16/0.42 % (20368)Memory used [KB]: 876
% 0.16/0.42 % (20368)Time elapsed: 0.035 s
% 0.16/0.42 % (20368)Instructions burned: 66 (million)
% 0.16/0.42 % (20368)------------------------------
% 0.16/0.42 % (20368)------------------------------
% 0.16/0.42 % (20363)Success in time 0.092 s
%------------------------------------------------------------------------------