TSTP Solution File: SET236-6 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET236-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n015.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 18:19:53 EDT 2022
% Result : Unsatisfiable 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 21 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f157,plain,
$false,
inference(subsumption_resolution,[],[f152,f118]) ).
fof(f118,plain,
member(not_subclass_element(x,y),x),
inference(resolution,[],[f115,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f115,axiom,
~ subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property11_3) ).
fof(f152,plain,
~ member(not_subclass_element(x,y),x),
inference(resolution,[],[f120,f137]) ).
fof(f137,plain,
! [X0,X1] : ~ member(not_subclass_element(x,y),cross_product(X0,X1)),
inference(subsumption_resolution,[],[f136,f119]) ).
fof(f119,plain,
~ member(not_subclass_element(x,y),y),
inference(resolution,[],[f115,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f136,plain,
! [X0,X1] :
( member(not_subclass_element(x,y),y)
| ~ member(not_subclass_element(x,y),cross_product(X0,X1)) ),
inference(superposition,[],[f114,f17]) ).
fof(f17,axiom,
! [X0,X1,X4] :
( ordered_pair(first(X4),second(X4)) = X4
| ~ member(X4,cross_product(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f114,axiom,
member(ordered_pair(first(not_subclass_element(x,y)),second(not_subclass_element(x,y))),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property11_2) ).
fof(f120,plain,
! [X0] :
( member(X0,cross_product(universal_class,universal_class))
| ~ member(X0,x) ),
inference(resolution,[],[f113,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f113,axiom,
subclass(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property11_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET236-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n015.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 13:42:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.48 % (19066)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.48 % (19088)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.49 % (19088)First to succeed.
% 0.21/0.49 % (19066)Instruction limit reached!
% 0.21/0.49 % (19066)------------------------------
% 0.21/0.49 % (19066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (19066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (19066)Termination reason: Unknown
% 0.21/0.49 % (19066)Termination phase: Property scanning
% 0.21/0.49
% 0.21/0.49 % (19066)Memory used [KB]: 1407
% 0.21/0.49 % (19066)Time elapsed: 0.005 s
% 0.21/0.49 % (19066)Instructions burned: 4 (million)
% 0.21/0.49 % (19066)------------------------------
% 0.21/0.49 % (19066)------------------------------
% 0.21/0.49 % (19088)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (19088)------------------------------
% 0.21/0.49 % (19088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (19088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (19088)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (19088)Memory used [KB]: 6012
% 0.21/0.49 % (19088)Time elapsed: 0.076 s
% 0.21/0.49 % (19088)Instructions burned: 2 (million)
% 0.21/0.49 % (19088)------------------------------
% 0.21/0.49 % (19088)------------------------------
% 0.21/0.49 % (19047)Success in time 0.139 s
%------------------------------------------------------------------------------