TSTP Solution File: SET582+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET582+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:24:58 EDT 2022
% Result : Theorem 1.61s 0.56s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 8
% Syntax : Number of formulae : 84 ( 11 unt; 0 def)
% Number of atoms : 270 ( 20 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 313 ( 127 ~; 121 |; 43 &)
% ( 16 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 115 ( 103 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f154,plain,
$false,
inference(subsumption_resolution,[],[f153,f149]) ).
fof(f149,plain,
~ member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK2),
inference(subsumption_resolution,[],[f147,f137]) ).
fof(f137,plain,
( member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK4)
| ~ member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK2) ),
inference(resolution,[],[f136,f64]) ).
fof(f64,plain,
! [X3] :
( member(X3,sK3)
| member(X3,sK4)
| ~ member(X3,sK2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ! [X3] :
( ( ~ member(X3,sK3)
| ( ( ~ member(X3,sK2)
| ~ member(X3,sK4) )
& ( member(X3,sK2)
| member(X3,sK4) ) ) )
& ( ( ( member(X3,sK4)
| ~ member(X3,sK2) )
& ( member(X3,sK2)
| ~ member(X3,sK4) ) )
| member(X3,sK3) ) )
& sK3 != symmetric_difference(sK2,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f36,f37]) ).
fof(f37,plain,
( ? [X0,X1,X2] :
( ! [X3] :
( ( ~ member(X3,X1)
| ( ( ~ member(X3,X0)
| ~ member(X3,X2) )
& ( member(X3,X0)
| member(X3,X2) ) ) )
& ( ( ( member(X3,X2)
| ~ member(X3,X0) )
& ( member(X3,X0)
| ~ member(X3,X2) ) )
| member(X3,X1) ) )
& symmetric_difference(X0,X2) != X1 )
=> ( ! [X3] :
( ( ~ member(X3,sK3)
| ( ( ~ member(X3,sK2)
| ~ member(X3,sK4) )
& ( member(X3,sK2)
| member(X3,sK4) ) ) )
& ( ( ( member(X3,sK4)
| ~ member(X3,sK2) )
& ( member(X3,sK2)
| ~ member(X3,sK4) ) )
| member(X3,sK3) ) )
& sK3 != symmetric_difference(sK2,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0,X1,X2] :
( ! [X3] :
( ( ~ member(X3,X1)
| ( ( ~ member(X3,X0)
| ~ member(X3,X2) )
& ( member(X3,X0)
| member(X3,X2) ) ) )
& ( ( ( member(X3,X2)
| ~ member(X3,X0) )
& ( member(X3,X0)
| ~ member(X3,X2) ) )
| member(X3,X1) ) )
& symmetric_difference(X0,X2) != X1 ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
? [X0,X1,X2] :
( ! [X3] :
( ~ member(X3,X1)
<=> ( member(X3,X2)
<=> member(X3,X0) ) )
& symmetric_difference(X0,X2) != X1 ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
~ ! [X0,X2,X1] :
( ! [X3] :
( ~ member(X3,X1)
<=> ( member(X3,X2)
<=> member(X3,X0) ) )
=> symmetric_difference(X0,X2) = X1 ),
inference(rectify,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X1,X0,X2] :
( ! [X3] :
( ( member(X3,X1)
<=> member(X3,X2) )
<=> ~ member(X3,X0) )
=> symmetric_difference(X1,X2) = X0 ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X1,X0,X2] :
( ! [X3] :
( ( member(X3,X1)
<=> member(X3,X2) )
<=> ~ member(X3,X0) )
=> symmetric_difference(X1,X2) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th25) ).
fof(f136,plain,
~ member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK3),
inference(subsumption_resolution,[],[f135,f130]) ).
fof(f130,plain,
( ~ member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK2)
| ~ member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK3) ),
inference(subsumption_resolution,[],[f128,f103]) ).
fof(f103,plain,
( ~ member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK4)
| ~ member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK3)
| ~ member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK2) ),
inference(resolution,[],[f102,f66]) ).
fof(f66,plain,
! [X3] :
( ~ member(X3,sK3)
| ~ member(X3,sK2)
| ~ member(X3,sK4) ),
inference(cnf_transformation,[],[f38]) ).
fof(f102,plain,
( member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK3)
| ~ member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK3) ),
inference(resolution,[],[f99,f46]) ).
fof(f46,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f24]) ).
fof(f24,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) )
=> ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) ) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f99,plain,
( ~ subset(union(difference(sK2,sK4),difference(sK4,sK2)),sK3)
| member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK3) ),
inference(resolution,[],[f94,f47]) ).
fof(f47,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f94,plain,
( ~ subset(sK3,union(difference(sK2,sK4),difference(sK4,sK2)))
| ~ subset(union(difference(sK2,sK4),difference(sK4,sK2)),sK3) ),
inference(extensionality_resolution,[],[f55,f74]) ).
fof(f74,plain,
sK3 != union(difference(sK2,sK4),difference(sK4,sK2)),
inference(definition_unfolding,[],[f62,f57]) ).
fof(f57,plain,
! [X0,X1] : symmetric_difference(X1,X0) = union(difference(X1,X0),difference(X0,X1)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] : symmetric_difference(X1,X0) = union(difference(X1,X0),difference(X0,X1)),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetric_difference_defn) ).
fof(f62,plain,
sK3 != symmetric_difference(sK2,sK4),
inference(cnf_transformation,[],[f38]) ).
fof(f55,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).
fof(f128,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK3)
| member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK4)
| ~ member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK2) ),
inference(resolution,[],[f69,f110]) ).
fof(f110,plain,
( ~ member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),difference(sK2,sK4))
| ~ member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK3) ),
inference(resolution,[],[f106,f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( member(X1,union(X0,X2))
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X0,X2)) )
& ( member(X1,union(X0,X2))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( member(X1,X2)
| member(X1,X0)
| ~ member(X1,union(X0,X2)) )
& ( member(X1,union(X0,X2))
| ( ~ member(X1,X2)
& ~ member(X1,X0) ) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ( member(X1,X2)
| member(X1,X0) )
<=> member(X1,union(X0,X2)) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X2,X1] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f106,plain,
( ~ member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),union(difference(sK2,sK4),difference(sK4,sK2)))
| ~ member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK3) ),
inference(resolution,[],[f100,f46]) ).
fof(f100,plain,
( ~ subset(union(difference(sK2,sK4),difference(sK4,sK2)),sK3)
| ~ member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),union(difference(sK2,sK4),difference(sK4,sK2))) ),
inference(resolution,[],[f94,f46]) ).
fof(f69,plain,
! [X2,X0,X1] :
( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ( ( ~ member(X0,X1)
& member(X0,X2) )
| ~ member(X0,difference(X2,X1)) )
& ( member(X0,difference(X2,X1))
| member(X0,X1)
| ~ member(X0,X2) ) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X0,X2] :
( ( ( ~ member(X1,X0)
& member(X1,X2) )
| ~ member(X1,difference(X2,X0)) )
& ( member(X1,difference(X2,X0))
| member(X1,X0)
| ~ member(X1,X2) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X1,X0,X2] :
( ( ( ~ member(X1,X0)
& member(X1,X2) )
| ~ member(X1,difference(X2,X0)) )
& ( member(X1,difference(X2,X0))
| member(X1,X0)
| ~ member(X1,X2) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X1,X0,X2] :
( ( ~ member(X1,X0)
& member(X1,X2) )
<=> member(X1,difference(X2,X0)) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X2,X0] :
( ( member(X2,X0)
& ~ member(X2,X1) )
<=> member(X2,difference(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
fof(f135,plain,
( member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK2)
| ~ member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK3) ),
inference(duplicate_literal_removal,[],[f134]) ).
fof(f134,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK3)
| member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK2)
| ~ member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK3) ),
inference(resolution,[],[f129,f104]) ).
fof(f104,plain,
( member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK4)
| ~ member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK3)
| member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK2) ),
inference(resolution,[],[f102,f65]) ).
fof(f65,plain,
! [X3] :
( ~ member(X3,sK3)
| member(X3,sK4)
| member(X3,sK2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f129,plain,
( ~ member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK4)
| ~ member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK3) ),
inference(subsumption_resolution,[],[f126,f103]) ).
fof(f126,plain,
( member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK2)
| ~ member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK3)
| ~ member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK4) ),
inference(resolution,[],[f69,f109]) ).
fof(f109,plain,
( ~ member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),difference(sK4,sK2))
| ~ member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK3) ),
inference(resolution,[],[f106,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( member(X1,union(X0,X2))
| ~ member(X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f147,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK4)
| ~ member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK2) ),
inference(resolution,[],[f145,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f145,plain,
( member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),difference(sK2,sK4))
| ~ member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK2) ),
inference(resolution,[],[f144,f71]) ).
fof(f144,plain,
( member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),difference(sK4,sK2))
| member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),difference(sK2,sK4)) ),
inference(resolution,[],[f143,f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ member(X1,union(X0,X2))
| member(X1,X2)
| member(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f143,plain,
member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),union(difference(sK2,sK4),difference(sK4,sK2))),
inference(subsumption_resolution,[],[f142,f131]) ).
fof(f131,plain,
( ~ member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK2)
| member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),union(difference(sK2,sK4),difference(sK4,sK2))) ),
inference(subsumption_resolution,[],[f127,f107]) ).
fof(f107,plain,
( ~ member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK4)
| member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),union(difference(sK2,sK4),difference(sK4,sK2)))
| ~ member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK2) ),
inference(resolution,[],[f101,f66]) ).
fof(f101,plain,
( member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK3)
| member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),union(difference(sK2,sK4),difference(sK4,sK2))) ),
inference(resolution,[],[f99,f47]) ).
fof(f127,plain,
( member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK4)
| member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),union(difference(sK2,sK4),difference(sK4,sK2)))
| ~ member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK2) ),
inference(resolution,[],[f69,f112]) ).
fof(f112,plain,
( ~ member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),difference(sK2,sK4))
| member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),union(difference(sK2,sK4),difference(sK4,sK2))) ),
inference(resolution,[],[f105,f59]) ).
fof(f105,plain,
( ~ member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),union(difference(sK2,sK4),difference(sK4,sK2)))
| member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),union(difference(sK2,sK4),difference(sK4,sK2))) ),
inference(resolution,[],[f100,f47]) ).
fof(f142,plain,
( member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK2)
| member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),union(difference(sK2,sK4),difference(sK4,sK2))) ),
inference(duplicate_literal_removal,[],[f140]) ).
fof(f140,plain,
( member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK2)
| member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),union(difference(sK2,sK4),difference(sK4,sK2)))
| member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),union(difference(sK2,sK4),difference(sK4,sK2))) ),
inference(resolution,[],[f132,f108]) ).
fof(f108,plain,
( member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK4)
| member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),union(difference(sK2,sK4),difference(sK4,sK2)))
| member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK2) ),
inference(resolution,[],[f101,f65]) ).
fof(f132,plain,
( ~ member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK4)
| member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),union(difference(sK2,sK4),difference(sK4,sK2))) ),
inference(subsumption_resolution,[],[f125,f107]) ).
fof(f125,plain,
( member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK2)
| member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),union(difference(sK2,sK4),difference(sK4,sK2)))
| ~ member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),sK4) ),
inference(resolution,[],[f69,f111]) ).
fof(f111,plain,
( ~ member(sK0(sK3,union(difference(sK2,sK4),difference(sK4,sK2))),difference(sK4,sK2))
| member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),union(difference(sK2,sK4),difference(sK4,sK2))) ),
inference(resolution,[],[f105,f60]) ).
fof(f153,plain,
member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK2),
inference(resolution,[],[f152,f138]) ).
fof(f138,plain,
( ~ member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK4)
| member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK2) ),
inference(resolution,[],[f136,f63]) ).
fof(f63,plain,
! [X3] :
( member(X3,sK3)
| ~ member(X3,sK4)
| member(X3,sK2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f152,plain,
member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK4),
inference(subsumption_resolution,[],[f151,f149]) ).
fof(f151,plain,
( member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK4)
| member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK2) ),
inference(resolution,[],[f146,f70]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| member(X0,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f146,plain,
( member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),difference(sK2,sK4))
| member(sK0(union(difference(sK2,sK4),difference(sK4,sK2)),sK3),sK4) ),
inference(resolution,[],[f144,f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET582+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 13:55:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 % (9575)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.45 % (9559)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (9550)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (9567)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (9556)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (9559)Instruction limit reached!
% 0.20/0.51 % (9559)------------------------------
% 0.20/0.51 % (9559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (9556)Instruction limit reached!
% 0.20/0.51 % (9556)------------------------------
% 0.20/0.51 % (9556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (9556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (9556)Termination reason: Unknown
% 0.20/0.51 % (9556)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (9556)Memory used [KB]: 5500
% 0.20/0.51 % (9556)Time elapsed: 0.107 s
% 0.20/0.51 % (9556)Instructions burned: 7 (million)
% 0.20/0.51 % (9556)------------------------------
% 0.20/0.51 % (9556)------------------------------
% 0.20/0.51 % (9559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (9559)Termination reason: Unknown
% 0.20/0.51 % (9559)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (9559)Memory used [KB]: 6012
% 0.20/0.51 % (9559)Time elapsed: 0.117 s
% 0.20/0.51 % (9559)Instructions burned: 51 (million)
% 0.20/0.51 % (9559)------------------------------
% 0.20/0.51 % (9559)------------------------------
% 0.20/0.51 % (9553)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (9549)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 TRYING [2]
% 0.20/0.52 TRYING [3]
% 0.20/0.52 % (9551)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52 % (9578)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.52 % (9576)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.52 % (9550)Refutation not found, incomplete strategy% (9550)------------------------------
% 0.20/0.52 % (9550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (9550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (9550)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (9550)Memory used [KB]: 5373
% 0.20/0.52 % (9550)Time elapsed: 0.129 s
% 0.20/0.52 % (9550)Instructions burned: 3 (million)
% 0.20/0.52 % (9550)------------------------------
% 0.20/0.52 % (9550)------------------------------
% 0.20/0.52 % (9563)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52 % (9552)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (9565)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (9554)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (9573)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (9574)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (9572)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53 % (9555)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.49/0.53 TRYING [1]
% 1.49/0.53 TRYING [2]
% 1.49/0.53 % (9568)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.49/0.54 % (9570)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.49/0.54 % (9571)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.49/0.54 % (9575)Instruction limit reached!
% 1.49/0.54 % (9575)------------------------------
% 1.49/0.54 % (9575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.54 % (9575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.54 % (9575)Termination reason: Unknown
% 1.49/0.54 % (9575)Termination phase: Saturation
% 1.49/0.54
% 1.49/0.54 % (9575)Memory used [KB]: 6524
% 1.49/0.54 % (9575)Time elapsed: 0.055 s
% 1.49/0.54 % (9575)Instructions burned: 68 (million)
% 1.49/0.54 % (9575)------------------------------
% 1.49/0.54 % (9575)------------------------------
% 1.49/0.54 % (9577)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.49/0.54 % (9557)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.49/0.54 % (9566)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.49/0.54 % (9557)Instruction limit reached!
% 1.49/0.54 % (9557)------------------------------
% 1.49/0.54 % (9557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.54 % (9557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.54 % (9557)Termination reason: Unknown
% 1.49/0.54 % (9557)Termination phase: Saturation
% 1.49/0.54
% 1.49/0.54 % (9557)Memory used [KB]: 5373
% 1.49/0.54 % (9557)Time elapsed: 0.145 s
% 1.49/0.54 % (9557)Instructions burned: 3 (million)
% 1.49/0.54 % (9557)------------------------------
% 1.49/0.54 % (9557)------------------------------
% 1.49/0.54 % (9571)First to succeed.
% 1.49/0.54 TRYING [1]
% 1.49/0.54 % (9560)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.49/0.54 TRYING [2]
% 1.49/0.54 % (9562)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.49/0.54 TRYING [3]
% 1.49/0.54 % (9561)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.49/0.54 % (9564)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.49/0.54 % (9558)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.49/0.54 TRYING [4]
% 1.49/0.55 % (9569)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.61/0.55 TRYING [3]
% 1.61/0.56 TRYING [4]
% 1.61/0.56 % (9571)Refutation found. Thanks to Tanya!
% 1.61/0.56 % SZS status Theorem for theBenchmark
% 1.61/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.56 % (9571)------------------------------
% 1.61/0.56 % (9571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.56 % (9571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.56 % (9571)Termination reason: Refutation
% 1.61/0.56
% 1.61/0.56 % (9571)Memory used [KB]: 1023
% 1.61/0.56 % (9571)Time elapsed: 0.103 s
% 1.61/0.56 % (9571)Instructions burned: 8 (million)
% 1.61/0.56 % (9571)------------------------------
% 1.61/0.56 % (9571)------------------------------
% 1.61/0.56 % (9548)Success in time 0.215 s
%------------------------------------------------------------------------------