TSTP Solution File: SET641+3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET641+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_uns --cores 0 -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 : Wed Aug 31 18:21:43 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 79 ( 12 unt; 0 def)
% Number of atoms : 345 ( 2 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 425 ( 159 ~; 147 |; 70 &)
% ( 13 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 168 ( 144 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f404,plain,
$false,
inference(subsumption_resolution,[],[f402,f131]) ).
fof(f131,plain,
~ ilf_type(sK9,sF15),
inference(definition_folding,[],[f115,f130]) ).
fof(f130,plain,
relation_type(sK10,sK11) = sF15,
introduced(function_definition,[]) ).
fof(f115,plain,
~ ilf_type(sK9,relation_type(sK10,sK11)),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ilf_type(sK9,set_type)
& subset(sK9,cross_product(sK10,sK11))
& ilf_type(sK11,set_type)
& ~ ilf_type(sK9,relation_type(sK10,sK11))
& ilf_type(sK10,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f35,f73,f72,f71]) ).
fof(f71,plain,
( ? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ? [X2] :
( subset(X0,cross_product(X1,X2))
& ilf_type(X2,set_type)
& ~ ilf_type(X0,relation_type(X1,X2)) )
& ilf_type(X1,set_type) ) )
=> ( ilf_type(sK9,set_type)
& ? [X1] :
( ? [X2] :
( subset(sK9,cross_product(X1,X2))
& ilf_type(X2,set_type)
& ~ ilf_type(sK9,relation_type(X1,X2)) )
& ilf_type(X1,set_type) ) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ? [X1] :
( ? [X2] :
( subset(sK9,cross_product(X1,X2))
& ilf_type(X2,set_type)
& ~ ilf_type(sK9,relation_type(X1,X2)) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( subset(sK9,cross_product(sK10,X2))
& ilf_type(X2,set_type)
& ~ ilf_type(sK9,relation_type(sK10,X2)) )
& ilf_type(sK10,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( ? [X2] :
( subset(sK9,cross_product(sK10,X2))
& ilf_type(X2,set_type)
& ~ ilf_type(sK9,relation_type(sK10,X2)) )
=> ( subset(sK9,cross_product(sK10,sK11))
& ilf_type(sK11,set_type)
& ~ ilf_type(sK9,relation_type(sK10,sK11)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ? [X2] :
( subset(X0,cross_product(X1,X2))
& ilf_type(X2,set_type)
& ~ ilf_type(X0,relation_type(X1,X2)) )
& ilf_type(X1,set_type) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ ilf_type(X0,relation_type(X1,X2))
& subset(X0,cross_product(X1,X2))
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( subset(X0,cross_product(X1,X2))
=> ilf_type(X0,relation_type(X1,X2)) ) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( subset(X0,cross_product(X1,X2))
=> ilf_type(X0,relation_type(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_3) ).
fof(f402,plain,
ilf_type(sK9,sF15),
inference(resolution,[],[f400,f247]) ).
fof(f247,plain,
! [X0] :
( ~ ilf_type(X0,subset_type(sF14))
| ilf_type(X0,sF15) ),
inference(forward_demodulation,[],[f246,f130]) ).
fof(f246,plain,
! [X0] :
( ~ ilf_type(X0,subset_type(sF14))
| ilf_type(X0,relation_type(sK10,sK11)) ),
inference(superposition,[],[f237,f128]) ).
fof(f128,plain,
cross_product(sK10,sK11) = sF14,
introduced(function_definition,[]) ).
fof(f237,plain,
! [X3,X0,X1] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ilf_type(X3,relation_type(X0,X1)) ),
inference(subsumption_resolution,[],[f236,f103]) ).
fof(f103,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18) ).
fof(f236,plain,
! [X3,X0,X1] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type) ),
inference(subsumption_resolution,[],[f95,f103]) ).
fof(f95,plain,
! [X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ilf_type(X3,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ilf_type(X3,relation_type(X0,X1)) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
=> ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f400,plain,
ilf_type(sK9,subset_type(sF14)),
inference(resolution,[],[f399,f183]) ).
fof(f183,plain,
! [X0,X1] :
( ~ member(X0,power_set(X1))
| ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f182,f162]) ).
fof(f162,plain,
! [X0,X1] :
( ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ),
inference(subsumption_resolution,[],[f161,f103]) ).
fof(f161,plain,
! [X0,X1] :
( ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,set_type) ),
inference(subsumption_resolution,[],[f112,f103]) ).
fof(f112,plain,
! [X0,X1] :
( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) )
& ( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
fof(f182,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(subsumption_resolution,[],[f181,f140]) ).
fof(f140,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0) ),
inference(subsumption_resolution,[],[f139,f103]) ).
fof(f139,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f92,f103]) ).
fof(f92,plain,
! [X2,X0] :
( ~ ilf_type(X2,set_type)
| ~ empty(X0)
| ~ member(X2,X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( empty(X0)
| ( ilf_type(sK4(X0),set_type)
& member(sK4(X0),X0) ) )
& ( ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0) )
| ~ empty(X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f57,f58]) ).
fof(f58,plain,
! [X0] :
( ? [X1] :
( ilf_type(X1,set_type)
& member(X1,X0) )
=> ( ilf_type(sK4(X0),set_type)
& member(sK4(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( empty(X0)
| ? [X1] :
( ilf_type(X1,set_type)
& member(X1,X0) ) )
& ( ! [X2] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0) )
| ~ empty(X0) ) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( empty(X0)
| ? [X1] :
( ilf_type(X1,set_type)
& member(X1,X0) ) )
& ( ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0) )
| ~ empty(X0) ) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( empty(X0)
<=> ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( empty(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14) ).
fof(f181,plain,
! [X0,X1] :
( ~ member(X0,X1)
| empty(X1)
| ilf_type(X0,member_type(X1)) ),
inference(subsumption_resolution,[],[f180,f103]) ).
fof(f180,plain,
! [X0,X1] :
( empty(X1)
| ~ ilf_type(X0,set_type)
| ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ),
inference(subsumption_resolution,[],[f124,f103]) ).
fof(f124,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( empty(X1)
| ~ ilf_type(X1,set_type)
| ( ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) )
& ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( empty(X1)
| ~ ilf_type(X1,set_type)
| ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ! [X1] :
( ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12) ).
fof(f399,plain,
member(sK9,power_set(sF14)),
inference(duplicate_literal_removal,[],[f398]) ).
fof(f398,plain,
( member(sK9,power_set(sF14))
| member(sK9,power_set(sF14)) ),
inference(resolution,[],[f384,f169]) ).
fof(f169,plain,
! [X0,X1] :
( member(sK12(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(subsumption_resolution,[],[f168,f103]) ).
fof(f168,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| member(sK12(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(subsumption_resolution,[],[f121,f103]) ).
fof(f121,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK12(X0,X1),X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( member(X0,power_set(X1))
| ( ~ member(sK12(X0,X1),X1)
& ilf_type(sK12(X0,X1),set_type)
& member(sK12(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ member(X3,X0) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f76,f77]) ).
fof(f77,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& ilf_type(X2,set_type)
& member(X2,X0) )
=> ( ~ member(sK12(X0,X1),X1)
& ilf_type(sK12(X0,X1),set_type)
& member(sK12(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& ilf_type(X2,set_type)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ member(X3,X0) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& ilf_type(X2,set_type)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X0,power_set(X1))
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10) ).
fof(f384,plain,
! [X3] :
( ~ member(sK12(X3,sF14),sK9)
| member(X3,power_set(sF14)) ),
inference(resolution,[],[f378,f175]) ).
fof(f175,plain,
! [X0,X1] :
( ~ member(sK12(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(subsumption_resolution,[],[f174,f103]) ).
fof(f174,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ member(sK12(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(subsumption_resolution,[],[f123,f103]) ).
fof(f123,plain,
! [X0,X1] :
( ~ member(sK12(X0,X1),X1)
| member(X0,power_set(X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f78]) ).
fof(f378,plain,
! [X0] :
( member(X0,sF14)
| ~ member(X0,sK9) ),
inference(resolution,[],[f377,f129]) ).
fof(f129,plain,
subset(sK9,sF14),
inference(definition_folding,[],[f117,f128]) ).
fof(f117,plain,
subset(sK9,cross_product(sK10,sK11)),
inference(cnf_transformation,[],[f74]) ).
fof(f377,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(subsumption_resolution,[],[f376,f103]) ).
fof(f376,plain,
! [X2,X0,X1] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_type) ),
inference(subsumption_resolution,[],[f375,f103]) ).
fof(f375,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_type) ),
inference(subsumption_resolution,[],[f110,f103]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,set_type)
| ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( ~ member(sK8(X0,X1),X1)
& member(sK8(X0,X1),X0)
& ilf_type(sK8(X0,X1),set_type) ) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f67,f68]) ).
fof(f68,plain,
! [X0,X1] :
( ? [X3] :
( ~ member(X3,X1)
& member(X3,X0)
& ilf_type(X3,set_type) )
=> ( ~ member(sK8(X0,X1),X1)
& member(sK8(X0,X1),X0)
& ilf_type(sK8(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( ~ member(X3,X1)
& member(X3,X0)
& ilf_type(X3,set_type) ) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
<=> subset(X0,X1) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
<=> subset(X0,X1) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) )
<=> subset(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET641+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n020.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:11:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (16671)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 % (16675)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.49 % (16675)Instruction limit reached!
% 0.20/0.49 % (16675)------------------------------
% 0.20/0.49 % (16675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (16675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (16675)Termination reason: Unknown
% 0.20/0.49 % (16675)Termination phase: Property scanning
% 0.20/0.49
% 0.20/0.49 % (16675)Memory used [KB]: 1535
% 0.20/0.49 % (16675)Time elapsed: 0.004 s
% 0.20/0.49 % (16675)Instructions burned: 3 (million)
% 0.20/0.49 % (16675)------------------------------
% 0.20/0.49 % (16675)------------------------------
% 0.20/0.50 % (16683)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.50 % (16671)Refutation not found, incomplete strategy% (16671)------------------------------
% 0.20/0.50 % (16671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (16671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (16671)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (16671)Memory used [KB]: 6140
% 0.20/0.50 % (16671)Time elapsed: 0.091 s
% 0.20/0.50 % (16671)Instructions burned: 7 (million)
% 0.20/0.50 % (16671)------------------------------
% 0.20/0.50 % (16671)------------------------------
% 0.20/0.51 % (16661)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (16661)Refutation not found, incomplete strategy% (16661)------------------------------
% 0.20/0.52 % (16661)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (16661)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (16661)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (16661)Memory used [KB]: 6012
% 0.20/0.52 % (16661)Time elapsed: 0.100 s
% 0.20/0.52 % (16661)Instructions burned: 3 (million)
% 0.20/0.52 % (16661)------------------------------
% 0.20/0.52 % (16661)------------------------------
% 0.20/0.52 % (16677)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.53 % (16680)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.53 % (16668)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.53 % (16658)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (16687)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.53 % (16672)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (16657)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.54 % (16659)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (16672)Instruction limit reached!
% 0.20/0.54 % (16672)------------------------------
% 0.20/0.54 % (16672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (16672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (16672)Termination reason: Unknown
% 0.20/0.54 % (16672)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (16672)Memory used [KB]: 6012
% 0.20/0.54 % (16672)Time elapsed: 0.003 s
% 0.20/0.54 % (16672)Instructions burned: 4 (million)
% 0.20/0.54 % (16672)------------------------------
% 0.20/0.54 % (16672)------------------------------
% 0.20/0.54 % (16663)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.54 % (16659)Instruction limit reached!
% 0.20/0.54 % (16659)------------------------------
% 0.20/0.54 % (16659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (16659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (16659)Termination reason: Unknown
% 0.20/0.54 % (16659)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (16659)Memory used [KB]: 1535
% 0.20/0.54 % (16659)Time elapsed: 0.003 s
% 0.20/0.54 % (16659)Instructions burned: 3 (million)
% 0.20/0.54 % (16659)------------------------------
% 0.20/0.54 % (16659)------------------------------
% 0.20/0.54 % (16685)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.54 % (16657)First to succeed.
% 0.20/0.54 % (16657)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (16657)------------------------------
% 0.20/0.54 % (16657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (16657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (16657)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (16657)Memory used [KB]: 6140
% 0.20/0.54 % (16657)Time elapsed: 0.095 s
% 0.20/0.54 % (16657)Instructions burned: 11 (million)
% 0.20/0.54 % (16657)------------------------------
% 0.20/0.54 % (16657)------------------------------
% 0.20/0.54 % (16656)Success in time 0.185 s
%------------------------------------------------------------------------------