TSTP Solution File: SET944+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET944+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n017.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 : Thu Aug 31 15:46:28 EDT 2023
% Result : Theorem 8.04s 1.51s
% Output : Refutation 8.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 21
% Syntax : Number of formulae : 119 ( 33 unt; 0 def)
% Number of atoms : 370 ( 20 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 395 ( 144 ~; 169 |; 61 &)
% ( 14 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 250 (; 226 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15403,plain,
$false,
inference(subsumption_resolution,[],[f15400,f83]) ).
fof(f83,plain,
~ subset(sF15,sF18),
inference(definition_folding,[],[f44,f82,f81,f80,f79,f78]) ).
fof(f78,plain,
set_intersection2(sK2,sK3) = sF14,
introduced(function_definition,[]) ).
fof(f79,plain,
union(sF14) = sF15,
introduced(function_definition,[]) ).
fof(f80,plain,
union(sK2) = sF16,
introduced(function_definition,[]) ).
fof(f81,plain,
union(sK3) = sF17,
introduced(function_definition,[]) ).
fof(f82,plain,
set_intersection2(sF16,sF17) = sF18,
introduced(function_definition,[]) ).
fof(f44,plain,
~ subset(union(set_intersection2(sK2,sK3)),set_intersection2(union(sK2),union(sK3))),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
~ subset(union(set_intersection2(sK2,sK3)),set_intersection2(union(sK2),union(sK3))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f14,f21]) ).
fof(f21,plain,
( ? [X0,X1] : ~ subset(union(set_intersection2(X0,X1)),set_intersection2(union(X0),union(X1)))
=> ~ subset(union(set_intersection2(sK2,sK3)),set_intersection2(union(sK2),union(sK3))) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
? [X0,X1] : ~ subset(union(set_intersection2(X0,X1)),set_intersection2(union(X0),union(X1))),
inference(ennf_transformation,[],[f11]) ).
fof(f11,negated_conjecture,
~ ! [X0,X1] : subset(union(set_intersection2(X0,X1)),set_intersection2(union(X0),union(X1))),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
! [X0,X1] : subset(union(set_intersection2(X0,X1)),set_intersection2(union(X0),union(X1))),
file('/export/starexec/sandbox2/tmp/tmp.N8IEyc6z2h/Vampire---4.8_8651',t97_zfmisc_1) ).
fof(f15400,plain,
subset(sF15,sF18),
inference(duplicate_literal_removal,[],[f15395]) ).
fof(f15395,plain,
( subset(sF15,sF18)
| subset(sF15,sF18) ),
inference(resolution,[],[f15362,f50]) ).
fof(f50,plain,
! [X0,X1] :
( in(sK4(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK4(X0,X1),X1)
& in(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f24,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK4(X0,X1),X1)
& in(sK4(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.N8IEyc6z2h/Vampire---4.8_8651',d3_tarski) ).
fof(f15362,plain,
! [X41] :
( ~ in(sK4(X41,sF18),sF15)
| subset(X41,sF18) ),
inference(resolution,[],[f15299,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ in(sK4(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f15299,plain,
! [X6] :
( in(X6,sF18)
| ~ in(X6,sF15) ),
inference(subsumption_resolution,[],[f15296,f11214]) ).
fof(f11214,plain,
! [X0] :
( in(X0,sF17)
| ~ in(X0,sF15) ),
inference(resolution,[],[f11212,f49]) ).
fof(f49,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f11212,plain,
subset(sF15,sF17),
inference(duplicate_literal_removal,[],[f11199]) ).
fof(f11199,plain,
( subset(sF15,sF17)
| subset(sF15,sF17) ),
inference(resolution,[],[f11198,f51]) ).
fof(f11198,plain,
! [X0] :
( in(sK4(sF15,X0),sF17)
| subset(sF15,X0) ),
inference(duplicate_literal_removal,[],[f11131]) ).
fof(f11131,plain,
! [X0] :
( in(sK4(sF15,X0),sF17)
| subset(sF15,X0)
| subset(sF15,X0) ),
inference(resolution,[],[f8206,f1169]) ).
fof(f1169,plain,
! [X4] :
( in(sK4(sF15,X4),sK7(sF14,sK4(sF15,X4)))
| subset(sF15,X4) ),
inference(resolution,[],[f169,f84]) ).
fof(f84,plain,
sP0(sF14,sF15),
inference(superposition,[],[f70,f79]) ).
fof(f70,plain,
! [X0] : sP0(X0,union(X0)),
inference(equality_resolution,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( sP0(X0,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( union(X0) = X1
| ~ sP0(X0,X1) )
& ( sP0(X0,X1)
| union(X0) != X1 ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( union(X0) = X1
<=> sP0(X0,X1) ),
inference(definition_folding,[],[f5,f17]) ).
fof(f17,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,X0)
& in(X2,X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f5,axiom,
! [X0,X1] :
( union(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,X0)
& in(X2,X3) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.N8IEyc6z2h/Vampire---4.8_8651',d4_tarski) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ sP0(X2,X0)
| in(sK4(X0,X1),sK7(X2,sK4(X0,X1)))
| subset(X0,X1) ),
inference(resolution,[],[f52,f50]) ).
fof(f52,plain,
! [X0,X1,X5] :
( ~ in(X5,X1)
| in(X5,sK7(X0,X5))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(sK5(X0,X1),X3) )
| ~ in(sK5(X0,X1),X1) )
& ( ( in(sK6(X0,X1),X0)
& in(sK5(X0,X1),sK6(X0,X1)) )
| in(sK5(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,X0)
| ~ in(X5,X6) ) )
& ( ( in(sK7(X0,X5),X0)
& in(X5,sK7(X0,X5)) )
| ~ in(X5,X1) ) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f28,f31,f30,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,X0)
& in(X2,X4) )
| in(X2,X1) ) )
=> ( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(sK5(X0,X1),X3) )
| ~ in(sK5(X0,X1),X1) )
& ( ? [X4] :
( in(X4,X0)
& in(sK5(X0,X1),X4) )
| in(sK5(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0,X1] :
( ? [X4] :
( in(X4,X0)
& in(sK5(X0,X1),X4) )
=> ( in(sK6(X0,X1),X0)
& in(sK5(X0,X1),sK6(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0,X5] :
( ? [X7] :
( in(X7,X0)
& in(X5,X7) )
=> ( in(sK7(X0,X5),X0)
& in(X5,sK7(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,X0)
& in(X2,X4) )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,X0)
| ~ in(X5,X6) ) )
& ( ? [X7] :
( in(X7,X0)
& in(X5,X7) )
| ~ in(X5,X1) ) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X3,X0)
& in(X2,X3) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) ) )
& ( ? [X3] :
( in(X3,X0)
& in(X2,X3) )
| ~ in(X2,X1) ) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f8206,plain,
! [X66,X67] :
( ~ in(X66,sK7(sF14,sK4(sF15,X67)))
| in(X66,sF17)
| subset(sF15,X67) ),
inference(resolution,[],[f7972,f1066]) ).
fof(f1066,plain,
! [X1] :
( in(sK7(sF14,sK4(sF15,X1)),sK3)
| subset(sF15,X1) ),
inference(resolution,[],[f965,f187]) ).
fof(f187,plain,
! [X0] :
( ~ in(X0,sF14)
| in(X0,sK3) ),
inference(resolution,[],[f186,f49]) ).
fof(f186,plain,
subset(sF14,sK3),
inference(duplicate_literal_removal,[],[f179]) ).
fof(f179,plain,
( subset(sF14,sK3)
| subset(sF14,sK3) ),
inference(resolution,[],[f176,f51]) ).
fof(f176,plain,
! [X9] :
( in(sK4(sF14,X9),sK3)
| subset(sF14,X9) ),
inference(resolution,[],[f167,f105]) ).
fof(f105,plain,
sP12(sK3,sF14),
inference(resolution,[],[f74,f88]) ).
fof(f88,plain,
sP1(sK3,sK2,sF14),
inference(superposition,[],[f71,f78]) ).
fof(f71,plain,
! [X0,X1] : sP1(X1,X0,set_intersection2(X0,X1)),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( sP1(X1,X0,X2)
| set_intersection2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( set_intersection2(X0,X1) = X2
| ~ sP1(X1,X0,X2) )
& ( sP1(X1,X0,X2)
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> sP1(X1,X0,X2) ),
inference(definition_folding,[],[f4,f19]) ).
fof(f19,plain,
! [X1,X0,X2] :
( sP1(X1,X0,X2)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( set_intersection2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
& in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.N8IEyc6z2h/Vampire---4.8_8651',d3_xboole_0) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| sP12(X0,X2) ),
inference(cnf_transformation,[],[f74_D]) ).
fof(f74_D,plain,
! [X2,X0] :
( ! [X1] : ~ sP1(X0,X1,X2)
<=> ~ sP12(X0,X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).
fof(f167,plain,
! [X2,X0,X1] :
( ~ sP12(X2,X0)
| in(sK4(X0,X1),X2)
| subset(X0,X1) ),
inference(resolution,[],[f75,f50]) ).
fof(f75,plain,
! [X2,X0,X4] :
( ~ in(X4,X2)
| in(X4,X0)
| ~ sP12(X0,X2) ),
inference(general_splitting,[],[f61,f74_D]) ).
fof(f61,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ( ( ~ in(sK8(X0,X1,X2),X0)
| ~ in(sK8(X0,X1,X2),X1)
| ~ in(sK8(X0,X1,X2),X2) )
& ( ( in(sK8(X0,X1,X2),X0)
& in(sK8(X0,X1,X2),X1) )
| in(sK8(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| ~ sP1(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f36,f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) )
=> ( ( ~ in(sK8(X0,X1,X2),X0)
| ~ in(sK8(X0,X1,X2),X1)
| ~ in(sK8(X0,X1,X2),X2) )
& ( ( in(sK8(X0,X1,X2),X0)
& in(sK8(X0,X1,X2),X1) )
| in(sK8(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| ~ sP1(X0,X1,X2) ) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X1,X0,X2] :
( ( sP1(X1,X0,X2)
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| ~ sP1(X1,X0,X2) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X1,X0,X2] :
( ( sP1(X1,X0,X2)
| ? [X3] :
( ( ~ in(X3,X1)
| ~ in(X3,X0)
| ~ in(X3,X2) )
& ( ( in(X3,X1)
& in(X3,X0) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X1)
| ~ in(X3,X0) )
& ( ( in(X3,X1)
& in(X3,X0) )
| ~ in(X3,X2) ) )
| ~ sP1(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f965,plain,
! [X4] :
( in(sK7(sF14,sK4(sF15,X4)),sF14)
| subset(sF15,X4) ),
inference(resolution,[],[f170,f84]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1)
| in(sK7(X0,sK4(X1,X2)),X0)
| subset(X1,X2) ),
inference(resolution,[],[f53,f50]) ).
fof(f53,plain,
! [X0,X1,X5] :
( ~ in(X5,X1)
| in(sK7(X0,X5),X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f7972,plain,
! [X0,X1] :
( ~ in(X0,sK3)
| ~ in(X1,X0)
| in(X1,sF17) ),
inference(resolution,[],[f7962,f73]) ).
fof(f73,plain,
! [X1,X6,X5] :
( ~ sP11(X6,X1)
| ~ in(X5,X6)
| in(X5,X1) ),
inference(general_splitting,[],[f54,f72_D]) ).
fof(f72,plain,
! [X0,X1,X6] :
( ~ in(X6,X0)
| ~ sP0(X0,X1)
| sP11(X6,X1) ),
inference(cnf_transformation,[],[f72_D]) ).
fof(f72_D,plain,
! [X1,X6] :
( ! [X0] :
( ~ in(X6,X0)
| ~ sP0(X0,X1) )
<=> ~ sP11(X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).
fof(f54,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(X6,X0)
| ~ in(X5,X6)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f7962,plain,
! [X2] :
( sP11(X2,sF17)
| ~ in(X2,sK3) ),
inference(superposition,[],[f7946,f81]) ).
fof(f7946,plain,
! [X0,X1] :
( sP11(X1,union(X0))
| ~ in(X1,X0) ),
inference(forward_demodulation,[],[f7931,f46]) ).
fof(f46,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] : set_intersection2(X0,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.N8IEyc6z2h/Vampire---4.8_8651',idempotence_k3_xboole_0) ).
fof(f7931,plain,
! [X0,X1] :
( sP11(X1,union(set_intersection2(X0,X0)))
| ~ in(X1,X0) ),
inference(superposition,[],[f7901,f46]) ).
fof(f7901,plain,
! [X2,X0,X1] :
( sP11(X0,union(set_intersection2(X2,set_intersection2(X1,X2))))
| ~ in(X0,set_intersection2(X1,X2)) ),
inference(resolution,[],[f7746,f70]) ).
fof(f7746,plain,
! [X36,X34,X35,X33] :
( ~ sP0(set_intersection2(X35,set_intersection2(X34,X35)),X36)
| ~ in(X33,set_intersection2(X34,X35))
| sP11(X33,X36) ),
inference(resolution,[],[f7677,f72]) ).
fof(f7677,plain,
! [X2,X0,X1] :
( in(X0,set_intersection2(X2,set_intersection2(X1,X2)))
| ~ in(X0,set_intersection2(X1,X2)) ),
inference(resolution,[],[f7662,f49]) ).
fof(f7662,plain,
! [X14,X15] : subset(set_intersection2(X14,X15),set_intersection2(X15,set_intersection2(X14,X15))),
inference(duplicate_literal_removal,[],[f7635]) ).
fof(f7635,plain,
! [X14,X15] :
( subset(set_intersection2(X14,X15),set_intersection2(X15,set_intersection2(X14,X15)))
| subset(set_intersection2(X14,X15),set_intersection2(X15,set_intersection2(X14,X15))) ),
inference(resolution,[],[f2460,f51]) ).
fof(f2460,plain,
! [X6,X7,X5] :
( in(sK4(set_intersection2(X5,X6),X7),set_intersection2(X6,set_intersection2(X5,X6)))
| subset(set_intersection2(X5,X6),X7) ),
inference(forward_demodulation,[],[f2455,f47]) ).
fof(f47,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.N8IEyc6z2h/Vampire---4.8_8651',commutativity_k3_xboole_0) ).
fof(f2455,plain,
! [X6,X7,X5] :
( in(sK4(set_intersection2(X5,X6),X7),set_intersection2(set_intersection2(X5,X6),X6))
| subset(set_intersection2(X5,X6),X7) ),
inference(duplicate_literal_removal,[],[f2422]) ).
fof(f2422,plain,
! [X6,X7,X5] :
( in(sK4(set_intersection2(X5,X6),X7),set_intersection2(set_intersection2(X5,X6),X6))
| subset(set_intersection2(X5,X6),X7)
| subset(set_intersection2(X5,X6),X7) ),
inference(resolution,[],[f2154,f173]) ).
fof(f173,plain,
! [X2,X3,X4] :
( in(sK4(set_intersection2(X2,X3),X4),X3)
| subset(set_intersection2(X2,X3),X4) ),
inference(resolution,[],[f167,f101]) ).
fof(f101,plain,
! [X0,X1] : sP12(X0,set_intersection2(X1,X0)),
inference(resolution,[],[f74,f71]) ).
fof(f2154,plain,
! [X2,X0,X1] :
( ~ in(sK4(X0,X1),X2)
| in(sK4(X0,X1),set_intersection2(X0,X2))
| subset(X0,X1) ),
inference(resolution,[],[f249,f71]) ).
fof(f249,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X2,X0,X3)
| in(sK4(X0,X1),X3)
| ~ in(sK4(X0,X1),X2)
| subset(X0,X1) ),
inference(resolution,[],[f62,f50]) ).
fof(f62,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,X1)
| ~ in(X4,X0)
| in(X4,X2)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f15296,plain,
! [X6] :
( ~ in(X6,sF17)
| in(X6,sF18)
| ~ in(X6,sF15) ),
inference(resolution,[],[f8943,f89]) ).
fof(f89,plain,
sP1(sF17,sF16,sF18),
inference(superposition,[],[f71,f82]) ).
fof(f8943,plain,
! [X11,X12,X13] :
( ~ sP1(X12,sF16,X13)
| ~ in(X11,X12)
| in(X11,X13)
| ~ in(X11,sF15) ),
inference(resolution,[],[f8910,f62]) ).
fof(f8910,plain,
! [X0] :
( in(X0,sF16)
| ~ in(X0,sF15) ),
inference(resolution,[],[f8908,f49]) ).
fof(f8908,plain,
subset(sF15,sF16),
inference(duplicate_literal_removal,[],[f8895]) ).
fof(f8895,plain,
( subset(sF15,sF16)
| subset(sF15,sF16) ),
inference(resolution,[],[f8894,f51]) ).
fof(f8894,plain,
! [X0] :
( in(sK4(sF15,X0),sF16)
| subset(sF15,X0) ),
inference(duplicate_literal_removal,[],[f8832]) ).
fof(f8832,plain,
! [X0] :
( in(sK4(sF15,X0),sF16)
| subset(sF15,X0)
| subset(sF15,X0) ),
inference(resolution,[],[f8098,f1169]) ).
fof(f8098,plain,
! [X66,X67] :
( ~ in(X66,sK7(sF14,sK4(sF15,X67)))
| in(X66,sF16)
| subset(sF15,X67) ),
inference(resolution,[],[f7964,f1065]) ).
fof(f1065,plain,
! [X0] :
( in(sK7(sF14,sK4(sF15,X0)),sK2)
| subset(sF15,X0) ),
inference(resolution,[],[f965,f223]) ).
fof(f223,plain,
! [X0] :
( ~ in(X0,sF14)
| in(X0,sK2) ),
inference(resolution,[],[f222,f49]) ).
fof(f222,plain,
subset(sF14,sK2),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f215,plain,
( subset(sF14,sK2)
| subset(sF14,sK2) ),
inference(resolution,[],[f175,f51]) ).
fof(f175,plain,
! [X8] :
( in(sK4(sF14,X8),sK2)
| subset(sF14,X8) ),
inference(resolution,[],[f167,f104]) ).
fof(f104,plain,
sP12(sK2,sF14),
inference(resolution,[],[f74,f95]) ).
fof(f95,plain,
sP1(sK2,sK3,sF14),
inference(superposition,[],[f90,f78]) ).
fof(f90,plain,
! [X2,X1] : sP1(X2,X1,set_intersection2(X2,X1)),
inference(superposition,[],[f71,f47]) ).
fof(f7964,plain,
! [X0,X1] :
( ~ in(X0,sK2)
| ~ in(X1,X0)
| in(X1,sF16) ),
inference(resolution,[],[f7961,f73]) ).
fof(f7961,plain,
! [X1] :
( sP11(X1,sF16)
| ~ in(X1,sK2) ),
inference(superposition,[],[f7946,f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.16 % Problem : SET944+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.18 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.18/0.37 % Computer : n017.cluster.edu
% 0.18/0.37 % Model : x86_64 x86_64
% 0.18/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.37 % Memory : 8042.1875MB
% 0.18/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.37 % CPULimit : 300
% 0.18/0.37 % WCLimit : 300
% 0.18/0.37 % DateTime : Sat Aug 26 10:08:56 EDT 2023
% 0.18/0.37 % CPUTime :
% 0.18/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.18/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.N8IEyc6z2h/Vampire---4.8_8651
% 0.18/0.38 % (8854)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (8859)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.23/0.44 % (8863)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.23/0.44 % (8858)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.23/0.44 % (8870)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.23/0.44 % (8867)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.23/0.44 % (8860)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.23/0.44 % (8862)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 8.04/1.51 % (8870)First to succeed.
% 8.04/1.51 % (8870)Refutation found. Thanks to Tanya!
% 8.04/1.51 % SZS status Theorem for Vampire---4
% 8.04/1.51 % SZS output start Proof for Vampire---4
% See solution above
% 8.04/1.51 % (8870)------------------------------
% 8.04/1.51 % (8870)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 8.04/1.51 % (8870)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 8.04/1.51 % (8870)Termination reason: Refutation
% 8.04/1.51
% 8.04/1.51 % (8870)Memory used [KB]: 24690
% 8.04/1.51 % (8870)Time elapsed: 1.072 s
% 8.04/1.51 % (8870)------------------------------
% 8.04/1.51 % (8870)------------------------------
% 8.04/1.51 % (8854)Success in time 1.121 s
% 8.04/1.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------