TSTP Solution File: SET654+3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET654+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 : n009.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 18:21:45 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 137 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 158 ( 50 ~; 36 |; 46 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 71 ( 47 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f163,plain,
$false,
inference(subsumption_resolution,[],[f158,f147]) ).
fof(f147,plain,
~ subset(range_of(sK9),sK7),
inference(unit_resulting_resolution,[],[f90,f90,f90,f111,f113,f88]) ).
fof(f88,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X0,set_type)
| ilf_type(X3,relation_type(X2,X1))
| ~ ilf_type(X3,relation_type(X2,X0))
| ~ subset(range_of(X3),X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ! [X3] :
( ~ subset(range_of(X3),X1)
| ilf_type(X3,relation_type(X2,X1))
| ~ ilf_type(X3,relation_type(X2,X0)) )
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ilf_type(X3,relation_type(X2,X1))
| ~ subset(range_of(X3),X1)
| ~ ilf_type(X3,relation_type(X2,X0)) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X0))
=> ( subset(range_of(X3),X1)
=> ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
fof(f113,plain,
~ ilf_type(sK9,relation_type(sK8,sK7)),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ~ ilf_type(sK9,relation_type(sK8,sK7))
& subset(sK6,sK7)
& ilf_type(sK9,relation_type(sK8,sK6))
& ilf_type(sK8,set_type)
& ilf_type(sK7,set_type)
& ilf_type(sK6,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f36,f73,f72,f71,f70]) ).
fof(f70,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,X1))
& subset(X0,X1)
& ilf_type(X3,relation_type(X2,X0)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,X1))
& subset(sK6,X1)
& ilf_type(X3,relation_type(X2,sK6)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(sK6,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,X1))
& subset(sK6,X1)
& ilf_type(X3,relation_type(X2,sK6)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,sK7))
& subset(sK6,sK7)
& ilf_type(X3,relation_type(X2,sK6)) )
& ilf_type(X2,set_type) )
& ilf_type(sK7,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,sK7))
& subset(sK6,sK7)
& ilf_type(X3,relation_type(X2,sK6)) )
& ilf_type(X2,set_type) )
=> ( ? [X3] :
( ~ ilf_type(X3,relation_type(sK8,sK7))
& subset(sK6,sK7)
& ilf_type(X3,relation_type(sK8,sK6)) )
& ilf_type(sK8,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
( ? [X3] :
( ~ ilf_type(X3,relation_type(sK8,sK7))
& subset(sK6,sK7)
& ilf_type(X3,relation_type(sK8,sK6)) )
=> ( ~ ilf_type(sK9,relation_type(sK8,sK7))
& subset(sK6,sK7)
& ilf_type(sK9,relation_type(sK8,sK6)) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,X1))
& subset(X0,X1)
& ilf_type(X3,relation_type(X2,X0)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,X1))
& subset(X0,X1)
& ilf_type(X3,relation_type(X2,X0)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X0))
=> ( subset(X0,X1)
=> ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X0))
=> ( subset(X0,X1)
=> ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_16) ).
fof(f111,plain,
ilf_type(sK9,relation_type(sK8,sK6)),
inference(cnf_transformation,[],[f74]) ).
fof(f90,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22) ).
fof(f158,plain,
subset(range_of(sK9),sK7),
inference(unit_resulting_resolution,[],[f112,f90,f90,f90,f142,f129]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,set_type)
| subset(X0,X2)
| ~ ilf_type(X1,set_type)
| ~ subset(X1,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ subset(X0,X1)
| subset(X0,X2)
| ~ ilf_type(X2,set_type)
| ~ subset(X1,X2) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f142,plain,
subset(range_of(sK9),sK6),
inference(unit_resulting_resolution,[],[f90,f90,f111,f120]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| subset(range_of(X2),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ( subset(domain_of(X2),X0)
& subset(range_of(X2),X1) )
| ~ ilf_type(X2,relation_type(X0,X1)) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( subset(domain_of(X2),X0)
& subset(range_of(X2),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(f112,plain,
subset(sK6,sK7),
inference(cnf_transformation,[],[f74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET654+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % 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 : n009.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 14:07:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.49 % (18906)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.49 % (18906)First to succeed.
% 0.18/0.49 % (18915)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (18906)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (18906)------------------------------
% 0.18/0.50 % (18906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (18906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (18906)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (18906)Memory used [KB]: 6012
% 0.18/0.50 % (18906)Time elapsed: 0.070 s
% 0.18/0.50 % (18906)Instructions burned: 4 (million)
% 0.18/0.50 % (18906)------------------------------
% 0.18/0.50 % (18906)------------------------------
% 0.18/0.50 % (18898)Success in time 0.152 s
%------------------------------------------------------------------------------