TSTP Solution File: SEU174+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU174+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 : Sun May 5 09:28:02 EDT 2024
% Result : Theorem 1.61s 0.60s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 50
% Syntax : Number of formulae : 207 ( 31 unt; 0 def)
% Number of atoms : 583 ( 86 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 611 ( 235 ~; 222 |; 94 &)
% ( 38 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 17 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 3 con; 0-3 aty)
% Number of variables : 312 ( 284 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9761,plain,
$false,
inference(avatar_sat_refutation,[],[f1029,f3769,f4434,f4927,f6202,f6217,f8031,f8040,f9218,f9739,f9755,f9756,f9758,f9760]) ).
fof(f9760,plain,
( spl39_1
| ~ spl39_2 ),
inference(avatar_contradiction_clause,[],[f9759]) ).
fof(f9759,plain,
( $false
| spl39_1
| ~ spl39_2 ),
inference(subsumption_resolution,[],[f9747,f1031]) ).
fof(f1031,plain,
( ~ empty(sK9)
| spl39_1 ),
inference(resolution,[],[f1025,f900]) ).
fof(f900,plain,
! [X0,X1] :
( disjoint(X0,X1)
| ~ empty(X0) ),
inference(resolution,[],[f354,f497]) ).
fof(f497,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f114]) ).
fof(f114,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f354,plain,
! [X0,X1] :
( in(sK12(X0,X1),X0)
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0,X1] :
( ( ~ disjoint(X0,X1)
| ! [X2] :
( ~ in(X2,X1)
| ~ in(X2,X0) ) )
& ( ( in(sK12(X0,X1),X1)
& in(sK12(X0,X1),X0) )
| disjoint(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f143,f229]) ).
fof(f229,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,X1)
& in(X3,X0) )
=> ( in(sK12(X0,X1),X1)
& in(sK12(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
! [X0,X1] :
( ( ~ disjoint(X0,X1)
| ! [X2] :
( ~ in(X2,X1)
| ~ in(X2,X0) ) )
& ( ? [X3] :
( in(X3,X1)
& in(X3,X0) )
| disjoint(X0,X1) ) ),
inference(ennf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ~ ( disjoint(X0,X1)
& ? [X2] :
( in(X2,X1)
& in(X2,X0) ) )
& ~ ( ! [X3] :
~ ( in(X3,X1)
& in(X3,X0) )
& ~ disjoint(X0,X1) ) ),
inference(rectify,[],[f93]) ).
fof(f93,axiom,
! [X0,X1] :
( ~ ( disjoint(X0,X1)
& ? [X2] :
( in(X2,X1)
& in(X2,X0) ) )
& ~ ( ! [X2] :
~ ( in(X2,X1)
& in(X2,X0) )
& ~ disjoint(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
fof(f1025,plain,
( ~ disjoint(sK9,powerset(sK8))
| spl39_1 ),
inference(avatar_component_clause,[],[f1023]) ).
fof(f1023,plain,
( spl39_1
<=> disjoint(sK9,powerset(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_1])]) ).
fof(f9747,plain,
( empty(sK9)
| ~ spl39_2 ),
inference(resolution,[],[f1028,f1813]) ).
fof(f1813,plain,
! [X0] :
( in(sK16(X0),X0)
| empty(X0) ),
inference(resolution,[],[f443,f427]) ).
fof(f427,plain,
! [X0] : element(sK16(X0),X0),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
! [X0] : element(sK16(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f36,f256]) ).
fof(f256,plain,
! [X0] :
( ? [X1] : element(X1,X0)
=> element(sK16(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f36,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f443,plain,
! [X0,X1] :
( ~ element(X1,X0)
| in(X1,X0)
| empty(X0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
! [X0,X1] :
( ( ( ( element(X1,X0)
| ~ empty(X1) )
& ( empty(X1)
| ~ element(X1,X0) ) )
| ~ empty(X0) )
& ( ( ( element(X1,X0)
| ~ in(X1,X0) )
& ( in(X1,X0)
| ~ element(X1,X0) ) )
| empty(X0) ) ),
inference(nnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1] :
( ( ( element(X1,X0)
<=> empty(X1) )
| ~ empty(X0) )
& ( ( element(X1,X0)
<=> in(X1,X0) )
| empty(X0) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( ( empty(X0)
=> ( element(X1,X0)
<=> empty(X1) ) )
& ( ~ empty(X0)
=> ( element(X1,X0)
<=> in(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f1028,plain,
( ! [X0] : ~ in(X0,sK9)
| ~ spl39_2 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f1027,plain,
( spl39_2
<=> ! [X0] : ~ in(X0,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_2])]) ).
fof(f9758,plain,
~ spl39_2,
inference(avatar_contradiction_clause,[],[f9757]) ).
fof(f9757,plain,
( $false
| ~ spl39_2 ),
inference(subsumption_resolution,[],[f9746,f334]) ).
fof(f334,plain,
empty_set != sK9,
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
( empty_set = complements_of_subsets(sK8,sK9)
& empty_set != sK9
& element(sK9,powerset(powerset(sK8))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f136,f222]) ).
fof(f222,plain,
( ? [X0,X1] :
( empty_set = complements_of_subsets(X0,X1)
& empty_set != X1
& element(X1,powerset(powerset(X0))) )
=> ( empty_set = complements_of_subsets(sK8,sK9)
& empty_set != sK9
& element(sK9,powerset(powerset(sK8))) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
? [X0,X1] :
( empty_set = complements_of_subsets(X0,X1)
& empty_set != X1
& element(X1,powerset(powerset(X0))) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
? [X0,X1] :
( empty_set = complements_of_subsets(X0,X1)
& empty_set != X1
& element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,negated_conjecture,
~ ! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ~ ( empty_set = complements_of_subsets(X0,X1)
& empty_set != X1 ) ),
inference(negated_conjecture,[],[f98]) ).
fof(f98,conjecture,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ~ ( empty_set = complements_of_subsets(X0,X1)
& empty_set != X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_setfam_1) ).
fof(f9746,plain,
( empty_set = sK9
| ~ spl39_2 ),
inference(resolution,[],[f1028,f426]) ).
fof(f426,plain,
! [X0] :
( in(sK15(X0),X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
! [X0] :
( ( empty_set = X0
| in(sK15(X0),X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f253,f254]) ).
fof(f254,plain,
! [X0] :
( ? [X1] : in(X1,X0)
=> in(sK15(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
! [X0] :
( ( empty_set = X0
| ? [X1] : in(X1,X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(rectify,[],[f252]) ).
fof(f252,plain,
! [X0] :
( ( empty_set = X0
| ? [X1] : in(X1,X0) )
& ( ! [X1] : ~ in(X1,X0)
| empty_set != X0 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( empty_set = X0
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f9756,plain,
( spl39_1
| ~ spl39_2 ),
inference(avatar_contradiction_clause,[],[f9741]) ).
fof(f9741,plain,
( $false
| spl39_1
| ~ spl39_2 ),
inference(resolution,[],[f1028,f4504]) ).
fof(f4504,plain,
( in(sK11(sK9,powerset(sK8)),sK9)
| spl39_1 ),
inference(subsumption_resolution,[],[f4497,f1025]) ).
fof(f4497,plain,
( in(sK11(sK9,powerset(sK8)),sK9)
| disjoint(sK9,powerset(sK8)) ),
inference(superposition,[],[f352,f1011]) ).
fof(f1011,plain,
sK9 = set_intersection2(sK9,powerset(sK8)),
inference(resolution,[],[f358,f765]) ).
fof(f765,plain,
subset(sK9,powerset(sK8)),
inference(resolution,[],[f494,f333]) ).
fof(f333,plain,
element(sK9,powerset(powerset(sK8))),
inference(cnf_transformation,[],[f223]) ).
fof(f494,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f297]) ).
fof(f297,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f92,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f358,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| set_intersection2(X0,X1) = X0 ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( set_intersection2(X0,X1) = X0
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0,X1] :
( subset(X0,X1)
=> set_intersection2(X0,X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1) ).
fof(f352,plain,
! [X0,X1] :
( in(sK11(X0,X1),set_intersection2(X0,X1))
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0,X1] :
( ( ~ disjoint(X0,X1)
| ! [X2] : ~ in(X2,set_intersection2(X0,X1)) )
& ( in(sK11(X0,X1),set_intersection2(X0,X1))
| disjoint(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f142,f227]) ).
fof(f227,plain,
! [X0,X1] :
( ? [X3] : in(X3,set_intersection2(X0,X1))
=> in(sK11(X0,X1),set_intersection2(X0,X1)) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
! [X0,X1] :
( ( ~ disjoint(X0,X1)
| ! [X2] : ~ in(X2,set_intersection2(X0,X1)) )
& ( ? [X3] : in(X3,set_intersection2(X0,X1))
| disjoint(X0,X1) ) ),
inference(ennf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( ~ ( disjoint(X0,X1)
& ? [X2] : in(X2,set_intersection2(X0,X1)) )
& ~ ( ! [X3] : ~ in(X3,set_intersection2(X0,X1))
& ~ disjoint(X0,X1) ) ),
inference(rectify,[],[f104]) ).
fof(f104,axiom,
! [X0,X1] :
( ~ ( disjoint(X0,X1)
& ? [X2] : in(X2,set_intersection2(X0,X1)) )
& ~ ( ! [X2] : ~ in(X2,set_intersection2(X0,X1))
& ~ disjoint(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_xboole_0) ).
fof(f9755,plain,
( spl39_1
| ~ spl39_2 ),
inference(avatar_contradiction_clause,[],[f9742]) ).
fof(f9742,plain,
( $false
| spl39_1
| ~ spl39_2 ),
inference(resolution,[],[f1028,f4503]) ).
fof(f4503,plain,
( in(sK11(powerset(sK8),sK9),sK9)
| spl39_1 ),
inference(subsumption_resolution,[],[f4496,f2052]) ).
fof(f2052,plain,
( ~ disjoint(powerset(sK8),sK9)
| spl39_1 ),
inference(subsumption_resolution,[],[f2051,f1031]) ).
fof(f2051,plain,
( empty(sK9)
| ~ disjoint(powerset(sK8),sK9) ),
inference(superposition,[],[f1867,f1011]) ).
fof(f1867,plain,
! [X0,X1] :
( empty(set_intersection2(X1,X0))
| ~ disjoint(X0,X1) ),
inference(superposition,[],[f1832,f440]) ).
fof(f440,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f1832,plain,
! [X0,X1] :
( empty(set_intersection2(X0,X1))
| ~ disjoint(X0,X1) ),
inference(resolution,[],[f1813,f353]) ).
fof(f353,plain,
! [X2,X0,X1] :
( ~ in(X2,set_intersection2(X0,X1))
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f4496,plain,
( in(sK11(powerset(sK8),sK9),sK9)
| disjoint(powerset(sK8),sK9) ),
inference(superposition,[],[f352,f4074]) ).
fof(f4074,plain,
sK9 = set_intersection2(powerset(sK8),sK9),
inference(resolution,[],[f524,f1019]) ).
fof(f1019,plain,
sP5(sK9,powerset(sK8),sK9),
inference(superposition,[],[f654,f1011]) ).
fof(f654,plain,
! [X0,X1] : sP5(X1,X0,set_intersection2(X1,X0)),
inference(superposition,[],[f563,f440]) ).
fof(f563,plain,
! [X0,X1] : sP5(X1,X0,set_intersection2(X0,X1)),
inference(equality_resolution,[],[f523]) ).
fof(f523,plain,
! [X2,X0,X1] :
( sP5(X1,X0,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f316]) ).
fof(f316,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ~ sP5(X1,X0,X2) )
& ( sP5(X1,X0,X2)
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> sP5(X1,X0,X2) ),
inference(definition_folding,[],[f15,f216]) ).
fof(f216,plain,
! [X1,X0,X2] :
( sP5(X1,X0,X2)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f15,axiom,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f524,plain,
! [X2,X0,X1] :
( ~ sP5(X1,X0,X2)
| set_intersection2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f316]) ).
fof(f9739,plain,
( spl39_2
| ~ spl39_16 ),
inference(avatar_split_clause,[],[f9738,f8037,f1027]) ).
fof(f8037,plain,
( spl39_16
<=> sP0(empty_set,sK8,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_16])]) ).
fof(f9738,plain,
( ! [X0] : ~ in(X0,sK9)
| ~ spl39_16 ),
inference(subsumption_resolution,[],[f9737,f5476]) ).
fof(f5476,plain,
! [X0] :
( element(X0,powerset(sK8))
| ~ in(X0,sK9) ),
inference(resolution,[],[f498,f333]) ).
fof(f498,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f204]) ).
fof(f204,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f9737,plain,
( ! [X0] :
( ~ in(X0,sK9)
| ~ element(X0,powerset(sK8)) )
| ~ spl39_16 ),
inference(subsumption_resolution,[],[f9736,f548]) ).
fof(f548,plain,
! [X2] : ~ in(X2,empty_set),
inference(equality_resolution,[],[f425]) ).
fof(f425,plain,
! [X2,X0] :
( ~ in(X2,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f255]) ).
fof(f9736,plain,
( ! [X0] :
( ~ in(X0,sK9)
| ~ element(X0,powerset(sK8))
| in(subset_complement(sK8,X0),empty_set) )
| ~ spl39_16 ),
inference(resolution,[],[f461,f8039]) ).
fof(f8039,plain,
( sP0(empty_set,sK8,sK9)
| ~ spl39_16 ),
inference(avatar_component_clause,[],[f8037]) ).
fof(f461,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ in(X4,X2)
| ~ element(X4,powerset(X1))
| in(subset_complement(X1,X4),X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ( ~ in(subset_complement(X1,sK20(X0,X1,X2)),X0)
| ~ in(sK20(X0,X1,X2),X2) )
& ( in(subset_complement(X1,sK20(X0,X1,X2)),X0)
| in(sK20(X0,X1,X2),X2) )
& element(sK20(X0,X1,X2),powerset(X1)) ) )
& ( ! [X4] :
( ( ( in(X4,X2)
| ~ in(subset_complement(X1,X4),X0) )
& ( in(subset_complement(X1,X4),X0)
| ~ in(X4,X2) ) )
| ~ element(X4,powerset(X1)) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f269,f270]) ).
fof(f270,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(subset_complement(X1,X3),X0)
| ~ in(X3,X2) )
& ( in(subset_complement(X1,X3),X0)
| in(X3,X2) )
& element(X3,powerset(X1)) )
=> ( ( ~ in(subset_complement(X1,sK20(X0,X1,X2)),X0)
| ~ in(sK20(X0,X1,X2),X2) )
& ( in(subset_complement(X1,sK20(X0,X1,X2)),X0)
| in(sK20(X0,X1,X2),X2) )
& element(sK20(X0,X1,X2),powerset(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f269,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ? [X3] :
( ( ~ in(subset_complement(X1,X3),X0)
| ~ in(X3,X2) )
& ( in(subset_complement(X1,X3),X0)
| in(X3,X2) )
& element(X3,powerset(X1)) ) )
& ( ! [X4] :
( ( ( in(X4,X2)
| ~ in(subset_complement(X1,X4),X0) )
& ( in(subset_complement(X1,X4),X0)
| ~ in(X4,X2) ) )
| ~ element(X4,powerset(X1)) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f268]) ).
fof(f268,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ~ in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) )
& ( in(subset_complement(X0,X3),X1)
| in(X3,X2) )
& element(X3,powerset(X0)) ) )
& ( ! [X3] :
( ( ( in(X3,X2)
| ~ in(subset_complement(X0,X3),X1) )
& ( in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) ) )
| ~ element(X3,powerset(X0)) )
| ~ sP0(X1,X0,X2) ) ),
inference(flattening,[],[f267]) ).
fof(f267,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ? [X3] :
( ( ~ in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) )
& ( in(subset_complement(X0,X3),X1)
| in(X3,X2) )
& element(X3,powerset(X0)) ) )
& ( ! [X3] :
( ( ( in(X3,X2)
| ~ in(subset_complement(X0,X3),X1) )
& ( in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) ) )
| ~ element(X3,powerset(X0)) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ! [X3] :
( ( in(X3,X2)
<=> in(subset_complement(X0,X3),X1) )
| ~ element(X3,powerset(X0)) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9218,plain,
spl39_15,
inference(avatar_contradiction_clause,[],[f9217]) ).
fof(f9217,plain,
( $false
| spl39_15 ),
inference(subsumption_resolution,[],[f9209,f8035]) ).
fof(f8035,plain,
( ~ sP1(sK9,sK8,empty_set)
| spl39_15 ),
inference(avatar_component_clause,[],[f8033]) ).
fof(f8033,plain,
( spl39_15
<=> sP1(sK9,sK8,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_15])]) ).
fof(f9209,plain,
sP1(sK9,sK8,empty_set),
inference(resolution,[],[f9140,f582]) ).
fof(f582,plain,
! [X0] : element(empty_set,powerset(X0)),
inference(forward_demodulation,[],[f432,f579]) ).
fof(f579,plain,
! [X0] : empty_set = sK19(X0),
inference(resolution,[],[f424,f433]) ).
fof(f433,plain,
! [X0] : empty(sK19(X0)),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0] :
( empty(sK19(X0))
& element(sK19(X0),powerset(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f61,f262]) ).
fof(f262,plain,
! [X0] :
( ? [X1] :
( empty(X1)
& element(X1,powerset(X0)) )
=> ( empty(sK19(X0))
& element(sK19(X0),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,axiom,
! [X0] :
? [X1] :
( empty(X1)
& element(X1,powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f424,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f432,plain,
! [X0] : element(sK19(X0),powerset(X0)),
inference(cnf_transformation,[],[f263]) ).
fof(f9140,plain,
! [X0] :
( ~ element(X0,powerset(powerset(sK8)))
| sP1(sK9,sK8,X0) ),
inference(resolution,[],[f466,f333]) ).
fof(f466,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(powerset(X0)))
| sP1(X2,X0,X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0,X1] :
( ! [X2] :
( sP1(X2,X0,X1)
| ~ element(X2,powerset(powerset(X0))) )
| ~ element(X1,powerset(powerset(X0))) ),
inference(definition_folding,[],[f197,f208,f207]) ).
fof(f208,plain,
! [X2,X0,X1] :
( ( complements_of_subsets(X0,X1) = X2
<=> sP0(X1,X0,X2) )
| ~ sP1(X2,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f197,plain,
! [X0,X1] :
( ! [X2] :
( ( complements_of_subsets(X0,X1) = X2
<=> ! [X3] :
( ( in(X3,X2)
<=> in(subset_complement(X0,X3),X1) )
| ~ element(X3,powerset(X0)) ) )
| ~ element(X2,powerset(powerset(X0))) )
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ! [X2] :
( element(X2,powerset(powerset(X0)))
=> ( complements_of_subsets(X0,X1) = X2
<=> ! [X3] :
( element(X3,powerset(X0))
=> ( in(X3,X2)
<=> in(subset_complement(X0,X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_setfam_1) ).
fof(f8040,plain,
( ~ spl39_15
| spl39_16 ),
inference(avatar_split_clause,[],[f8022,f8037,f8033]) ).
fof(f8022,plain,
( sP0(empty_set,sK8,sK9)
| ~ sP1(sK9,sK8,empty_set) ),
inference(forward_demodulation,[],[f8020,f7737]) ).
fof(f7737,plain,
sK9 = complements_of_subsets(sK8,empty_set),
inference(forward_demodulation,[],[f7732,f335]) ).
fof(f335,plain,
empty_set = complements_of_subsets(sK8,sK9),
inference(cnf_transformation,[],[f223]) ).
fof(f7732,plain,
sK9 = complements_of_subsets(sK8,complements_of_subsets(sK8,sK9)),
inference(resolution,[],[f457,f333]) ).
fof(f457,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0,X1] :
( complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k7_setfam_1) ).
fof(f8020,plain,
( ~ sP1(sK9,sK8,empty_set)
| sP0(empty_set,sK8,complements_of_subsets(sK8,empty_set)) ),
inference(superposition,[],[f549,f7737]) ).
fof(f549,plain,
! [X2,X1] :
( ~ sP1(complements_of_subsets(X1,X2),X1,X2)
| sP0(X2,X1,complements_of_subsets(X1,X2)) ),
inference(equality_resolution,[],[f459]) ).
fof(f459,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| complements_of_subsets(X1,X2) != X0
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0,X1,X2] :
( ( ( complements_of_subsets(X1,X2) = X0
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| complements_of_subsets(X1,X2) != X0 ) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f265]) ).
fof(f265,plain,
! [X2,X0,X1] :
( ( ( complements_of_subsets(X0,X1) = X2
| ~ sP0(X1,X0,X2) )
& ( sP0(X1,X0,X2)
| complements_of_subsets(X0,X1) != X2 ) )
| ~ sP1(X2,X0,X1) ),
inference(nnf_transformation,[],[f208]) ).
fof(f8031,plain,
( ~ spl39_13
| spl39_14 ),
inference(avatar_split_clause,[],[f8021,f8028,f8024]) ).
fof(f8024,plain,
( spl39_13
<=> sP1(empty_set,sK8,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_13])]) ).
fof(f8028,plain,
( spl39_14
<=> sP0(sK9,sK8,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_14])]) ).
fof(f8021,plain,
( sP0(sK9,sK8,empty_set)
| ~ sP1(empty_set,sK8,sK9) ),
inference(forward_demodulation,[],[f8019,f335]) ).
fof(f8019,plain,
( ~ sP1(empty_set,sK8,sK9)
| sP0(sK9,sK8,complements_of_subsets(sK8,sK9)) ),
inference(superposition,[],[f549,f335]) ).
fof(f6217,plain,
( ~ spl39_11
| spl39_12
| spl39_1 ),
inference(avatar_split_clause,[],[f4686,f1023,f6214,f6210]) ).
fof(f6210,plain,
( spl39_11
<=> subset(sK8,sK16(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_11])]) ).
fof(f6214,plain,
( spl39_12
<=> sK8 = sK16(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_12])]) ).
fof(f4686,plain,
( sK8 = sK16(sK9)
| ~ subset(sK8,sK16(sK9))
| spl39_1 ),
inference(resolution,[],[f4661,f471]) ).
fof(f471,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| X0 = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f275]) ).
fof(f275,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f4661,plain,
( subset(sK16(sK9),sK8)
| spl39_1 ),
inference(superposition,[],[f656,f4373]) ).
fof(f4373,plain,
( sK16(sK9) = set_intersection2(sK16(sK9),sK8)
| spl39_1 ),
inference(subsumption_resolution,[],[f4367,f1031]) ).
fof(f4367,plain,
( sK16(sK9) = set_intersection2(sK16(sK9),sK8)
| empty(sK9) ),
inference(resolution,[],[f3854,f1813]) ).
fof(f3854,plain,
! [X0] :
( ~ in(X0,sK9)
| set_intersection2(X0,sK8) = X0 ),
inference(resolution,[],[f3787,f358]) ).
fof(f3787,plain,
! [X0] :
( subset(X0,sK8)
| ~ in(X0,sK9) ),
inference(resolution,[],[f3783,f557]) ).
fof(f557,plain,
! [X3,X0] :
( ~ in(X3,powerset(X0))
| subset(X3,X0) ),
inference(equality_resolution,[],[f490]) ).
fof(f490,plain,
! [X3,X0,X1] :
( subset(X3,X0)
| ~ in(X3,X1)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ( ( ~ subset(sK27(X0,X1),X0)
| ~ in(sK27(X0,X1),X1) )
& ( subset(sK27(X0,X1),X0)
| in(sK27(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f294,f295]) ).
fof(f295,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) )
=> ( ( ~ subset(sK27(X0,X1),X0)
| ~ in(sK27(X0,X1),X1) )
& ( subset(sK27(X0,X1),X0)
| in(sK27(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f294,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(rectify,[],[f293]) ).
fof(f293,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ subset(X2,X0) )
& ( subset(X2,X0)
| ~ in(X2,X1) ) )
| powerset(X0) != X1 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( powerset(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f3783,plain,
! [X0] :
( in(X0,powerset(sK8))
| ~ in(X0,sK9) ),
inference(resolution,[],[f3697,f380]) ).
fof(f380,plain,
! [X0,X1] :
( subset(singleton(X0),X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0,X1] :
( ( subset(singleton(X0),X1)
| ~ in(X0,X1) )
& ( in(X0,X1)
| ~ subset(singleton(X0),X1) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0,X1] :
( subset(singleton(X0),X1)
<=> in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).
fof(f3697,plain,
! [X0] :
( ~ subset(singleton(X0),sK9)
| in(X0,powerset(sK8)) ),
inference(resolution,[],[f3681,f379]) ).
fof(f379,plain,
! [X0,X1] :
( ~ subset(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f239]) ).
fof(f3681,plain,
! [X0] :
( subset(X0,powerset(sK8))
| ~ subset(X0,sK9) ),
inference(resolution,[],[f400,f765]) ).
fof(f400,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| subset(X0,X2)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(flattening,[],[f169]) ).
fof(f169,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0,X1,X2] :
( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f656,plain,
! [X0,X1] : subset(set_intersection2(X1,X0),X0),
inference(superposition,[],[f347,f440]) ).
fof(f347,plain,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
inference(cnf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(f6202,plain,
( ~ spl39_9
| spl39_10 ),
inference(avatar_split_clause,[],[f4423,f6199,f6195]) ).
fof(f6195,plain,
( spl39_9
<=> subset(sK8,sK15(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_9])]) ).
fof(f6199,plain,
( spl39_10
<=> sK8 = sK15(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_10])]) ).
fof(f4423,plain,
( sK8 = sK15(sK9)
| ~ subset(sK8,sK15(sK9)) ),
inference(resolution,[],[f4386,f471]) ).
fof(f4386,plain,
subset(sK15(sK9),sK8),
inference(superposition,[],[f656,f4372]) ).
fof(f4372,plain,
sK15(sK9) = set_intersection2(sK15(sK9),sK8),
inference(subsumption_resolution,[],[f4366,f334]) ).
fof(f4366,plain,
( sK15(sK9) = set_intersection2(sK15(sK9),sK8)
| empty_set = sK9 ),
inference(resolution,[],[f3854,f426]) ).
fof(f4927,plain,
( ~ spl39_7
| spl39_8
| spl39_1 ),
inference(avatar_split_clause,[],[f4677,f1023,f4924,f4920]) ).
fof(f4920,plain,
( spl39_7
<=> disjoint(sK16(sK9),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_7])]) ).
fof(f4924,plain,
( spl39_8
<=> empty(sK16(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_8])]) ).
fof(f4677,plain,
( empty(sK16(sK9))
| ~ disjoint(sK16(sK9),sK8)
| spl39_1 ),
inference(superposition,[],[f1832,f4373]) ).
fof(f4434,plain,
( ~ spl39_5
| spl39_6 ),
inference(avatar_split_clause,[],[f4394,f4431,f4427]) ).
fof(f4427,plain,
( spl39_5
<=> empty(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_5])]) ).
fof(f4431,plain,
( spl39_6
<=> empty(sK15(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_6])]) ).
fof(f4394,plain,
( empty(sK15(sK9))
| ~ empty(sK8) ),
inference(superposition,[],[f1126,f4372]) ).
fof(f1126,plain,
! [X0,X1] :
( empty(set_intersection2(X1,X0))
| ~ empty(X0) ),
inference(superposition,[],[f1106,f440]) ).
fof(f1106,plain,
! [X0,X1] :
( empty(set_intersection2(X0,X1))
| ~ empty(X0) ),
inference(superposition,[],[f448,f1060]) ).
fof(f1060,plain,
! [X0,X1] : set_union2(set_intersection2(X0,X1),X0) = X0,
inference(resolution,[],[f359,f347]) ).
fof(f359,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| set_union2(X0,X1) = X1 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0,X1] :
( set_union2(X0,X1) = X1
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,axiom,
! [X0,X1] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f448,plain,
! [X0,X1] :
( ~ empty(set_union2(X0,X1))
| empty(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1] :
( ~ empty(set_union2(X0,X1))
| empty(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0,X1] :
( ~ empty(X0)
=> ~ empty(set_union2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_xboole_0) ).
fof(f3769,plain,
( ~ spl39_3
| spl39_4 ),
inference(avatar_split_clause,[],[f3757,f3766,f3762]) ).
fof(f3762,plain,
( spl39_3
<=> subset(powerset(sK8),sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_3])]) ).
fof(f3766,plain,
( spl39_4
<=> sK9 = powerset(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl39_4])]) ).
fof(f3757,plain,
( sK9 = powerset(sK8)
| ~ subset(powerset(sK8),sK9) ),
inference(resolution,[],[f471,f765]) ).
fof(f1029,plain,
( ~ spl39_1
| spl39_2 ),
inference(avatar_split_clause,[],[f1016,f1027,f1023]) ).
fof(f1016,plain,
! [X0] :
( ~ in(X0,sK9)
| ~ disjoint(sK9,powerset(sK8)) ),
inference(superposition,[],[f353,f1011]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU174+2 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 11:30:01 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.22/0.36 % (14014)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (14022)WARNING: value z3 for option sas not known
% 0.22/0.38 % (14019)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (14021)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (14026)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)
% 0.22/0.38 % (14024)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)
% 0.22/0.38 % (14022)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)
% 0.22/0.38 % (14025)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)
% 0.22/0.38 % (14023)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.41 TRYING [3]
% 0.22/0.45 TRYING [1]
% 0.22/0.47 TRYING [2]
% 0.22/0.49 TRYING [4]
% 0.22/0.51 TRYING [1]
% 0.22/0.51 TRYING [2]
% 0.22/0.51 TRYING [3]
% 0.22/0.53 TRYING [3]
% 0.22/0.53 TRYING [4]
% 1.61/0.60 % (14022)First to succeed.
% 1.61/0.60 % (14022)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14014"
% 1.61/0.60 % (14022)Refutation found. Thanks to Tanya!
% 1.61/0.60 % SZS status Theorem for theBenchmark
% 1.61/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.60 % (14022)------------------------------
% 1.61/0.60 % (14022)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.61/0.60 % (14022)Termination reason: Refutation
% 1.61/0.60
% 1.61/0.60 % (14022)Memory used [KB]: 4241
% 1.61/0.60 % (14022)Time elapsed: 0.221 s
% 1.61/0.60 % (14022)Instructions burned: 485 (million)
% 1.61/0.60 % (14014)Success in time 0.23 s
%------------------------------------------------------------------------------