TSTP Solution File: SET658+3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET658+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 : n018.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 18:25:15 EDT 2022
% Result : Theorem 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 47 ( 22 ~; 14 |; 4 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 18 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f246,plain,
$false,
inference(subsumption_resolution,[],[f245,f161]) ).
fof(f161,plain,
! [X0] : subset(X0,X0),
inference(subsumption_resolution,[],[f145,f131]) ).
fof(f131,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28) ).
fof(f145,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| subset(X0,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| subset(X0,X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> subset(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).
fof(f245,plain,
~ subset(domain_of(sK10),domain_of(sK10)),
inference(subsumption_resolution,[],[f244,f134]) ).
fof(f134,plain,
ilf_type(sK10,binary_relation_type),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ~ ilf_type(sK10,relation_type(domain_of(sK10),range_of(sK10)))
& ilf_type(sK10,binary_relation_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f51,f93]) ).
fof(f93,plain,
( ? [X0] :
( ~ ilf_type(X0,relation_type(domain_of(X0),range_of(X0)))
& ilf_type(X0,binary_relation_type) )
=> ( ~ ilf_type(sK10,relation_type(domain_of(sK10),range_of(sK10)))
& ilf_type(sK10,binary_relation_type) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
? [X0] :
( ~ ilf_type(X0,relation_type(domain_of(X0),range_of(X0)))
& ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(X0,relation_type(domain_of(X0),range_of(X0))) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ilf_type(X0,relation_type(domain_of(X0),range_of(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_20) ).
fof(f244,plain,
( ~ ilf_type(sK10,binary_relation_type)
| ~ subset(domain_of(sK10),domain_of(sK10)) ),
inference(resolution,[],[f243,f135]) ).
fof(f135,plain,
~ ilf_type(sK10,relation_type(domain_of(sK10),range_of(sK10))),
inference(cnf_transformation,[],[f94]) ).
fof(f243,plain,
! [X0,X1] :
( ilf_type(X1,relation_type(X0,range_of(X1)))
| ~ ilf_type(X1,binary_relation_type)
| ~ subset(domain_of(X1),X0) ),
inference(subsumption_resolution,[],[f141,f131]) ).
fof(f141,plain,
! [X0,X1] :
( ~ ilf_type(X1,binary_relation_type)
| ~ subset(domain_of(X1),X0)
| ilf_type(X1,relation_type(X0,range_of(X1)))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ilf_type(X1,relation_type(X0,range_of(X1)))
| ~ subset(domain_of(X1),X0) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ! [X1] :
( ilf_type(X1,relation_type(X0,range_of(X1)))
| ~ subset(domain_of(X1),X0)
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( subset(domain_of(X1),X0)
=> ilf_type(X1,relation_type(X0,range_of(X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET658+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_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 14:14:40 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.44 % (27813)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)
% 0.21/0.47 % (27829)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)
% 0.21/0.47 TRYING [1]
% 0.21/0.47 TRYING [2]
% 0.21/0.48 TRYING [3]
% 0.21/0.48 % (27829)First to succeed.
% 0.21/0.48 % (27821)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.49 % (27821)Instruction limit reached!
% 0.21/0.49 % (27821)------------------------------
% 0.21/0.49 % (27821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (27821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (27821)Termination reason: Unknown
% 0.21/0.49 % (27821)Termination phase: Preprocessing 2
% 0.21/0.49
% 0.21/0.49 % (27821)Memory used [KB]: 895
% 0.21/0.49 % (27821)Time elapsed: 0.003 s
% 0.21/0.49 % (27821)Instructions burned: 2 (million)
% 0.21/0.49 % (27821)------------------------------
% 0.21/0.49 % (27821)------------------------------
% 0.21/0.49 % (27829)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Theorem for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (27829)------------------------------
% 0.21/0.49 % (27829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (27829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (27829)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (27829)Memory used [KB]: 5500
% 0.21/0.49 % (27829)Time elapsed: 0.105 s
% 0.21/0.49 % (27829)Instructions burned: 6 (million)
% 0.21/0.49 % (27829)------------------------------
% 0.21/0.49 % (27829)------------------------------
% 0.21/0.49 % (27812)Success in time 0.137 s
%------------------------------------------------------------------------------