TSTP Solution File: SET454-6 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET454-6 : 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_sat --cores 0 -t %d %s
% Computer : n017.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 18:24:43 EDT 2022
% Result : Unsatisfiable 0.20s 0.61s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 16 unt; 0 def)
% Number of atoms : 34 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f449,plain,
$false,
inference(subsumption_resolution,[],[f448,f119]) ).
fof(f119,plain,
~ subclass(identity_relation,sF0),
inference(definition_folding,[],[f113,f118]) ).
fof(f118,plain,
cross_product(universal_class,universal_class) = sF0,
introduced(function_definition,[]) ).
fof(f113,axiom,
~ subclass(identity_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_identity_alternate_defn1_1) ).
fof(f448,plain,
subclass(identity_relation,sF0),
inference(duplicate_literal_removal,[],[f447]) ).
fof(f447,plain,
( subclass(identity_relation,sF0)
| subclass(identity_relation,sF0) ),
inference(resolution,[],[f416,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f416,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF0),identity_relation)
| subclass(X0,sF0) ),
inference(resolution,[],[f375,f158]) ).
fof(f158,plain,
! [X0] :
( member(X0,subset_relation)
| ~ member(X0,identity_relation) ),
inference(superposition,[],[f22,f75]) ).
fof(f75,axiom,
identity_relation = intersection(inverse(subset_relation),subset_relation),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_relation) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f375,plain,
! [X2] :
( ~ member(not_subclass_element(X2,sF0),subset_relation)
| subclass(X2,sF0) ),
inference(resolution,[],[f371,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f371,plain,
! [X2] :
( member(X2,sF0)
| ~ member(X2,subset_relation) ),
inference(superposition,[],[f21,f350]) ).
fof(f350,plain,
subset_relation = intersection(sF0,intersection(sF0,complement(compose(complement(element_relation),inverse(element_relation))))),
inference(backward_demodulation,[],[f260,f347]) ).
fof(f347,plain,
! [X0] : intersection(sF0,X0) = intersection(X0,sF0),
inference(superposition,[],[f255,f263]) ).
fof(f263,plain,
! [X0] : restrict(X0,universal_class,universal_class) = intersection(sF0,X0),
inference(superposition,[],[f29,f118]) ).
fof(f29,axiom,
! [X0,X1,X5] : restrict(X5,X0,X1) = intersection(cross_product(X0,X1),X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction2) ).
fof(f255,plain,
! [X0] : restrict(X0,universal_class,universal_class) = intersection(X0,sF0),
inference(superposition,[],[f28,f118]) ).
fof(f28,axiom,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f260,plain,
subset_relation = intersection(sF0,intersection(complement(compose(complement(element_relation),inverse(element_relation))),sF0)),
inference(backward_demodulation,[],[f137,f255]) ).
fof(f137,plain,
subset_relation = intersection(sF0,restrict(complement(compose(complement(element_relation),inverse(element_relation))),universal_class,universal_class)),
inference(backward_demodulation,[],[f120,f118]) ).
fof(f120,plain,
subset_relation = intersection(cross_product(universal_class,universal_class),restrict(complement(compose(complement(element_relation),inverse(element_relation))),universal_class,universal_class)),
inference(forward_demodulation,[],[f74,f29]) ).
fof(f74,axiom,
intersection(cross_product(universal_class,universal_class),intersection(cross_product(universal_class,universal_class),complement(compose(complement(element_relation),inverse(element_relation))))) = subset_relation,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_relation) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET454-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.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 13:15:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.56 % (14731)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.56 % (14730)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56 % (14747)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56 % (14738)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)
% 0.20/0.56 % (14739)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)
% 0.20/0.57 % (14731)Instruction limit reached!
% 0.20/0.57 % (14731)------------------------------
% 0.20/0.57 % (14731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (14731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (14731)Termination reason: Unknown
% 0.20/0.57 % (14731)Termination phase: Equality resolution with deletion
% 0.20/0.57
% 0.20/0.57 % (14731)Memory used [KB]: 1023
% 0.20/0.57 % (14731)Time elapsed: 0.005 s
% 0.20/0.57 % (14731)Instructions burned: 3 (million)
% 0.20/0.57 % (14731)------------------------------
% 0.20/0.57 % (14731)------------------------------
% 0.20/0.57 % (14730)Instruction limit reached!
% 0.20/0.57 % (14730)------------------------------
% 0.20/0.57 % (14730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (14746)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)
% 0.20/0.57 % (14730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (14730)Termination reason: Unknown
% 0.20/0.57 % (14730)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (14730)Memory used [KB]: 5500
% 0.20/0.57 % (14730)Time elapsed: 0.135 s
% 0.20/0.57 % (14730)Instructions burned: 7 (million)
% 0.20/0.57 % (14730)------------------------------
% 0.20/0.57 % (14730)------------------------------
% 0.20/0.61 % (14727)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.61 % (14738)First to succeed.
% 0.20/0.61 % (14738)Refutation found. Thanks to Tanya!
% 0.20/0.61 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.61 % (14738)------------------------------
% 0.20/0.61 % (14738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (14738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61 % (14738)Termination reason: Refutation
% 0.20/0.61
% 0.20/0.61 % (14738)Memory used [KB]: 1407
% 0.20/0.61 % (14738)Time elapsed: 0.170 s
% 0.20/0.61 % (14738)Instructions burned: 25 (million)
% 0.20/0.61 % (14738)------------------------------
% 0.20/0.61 % (14738)------------------------------
% 0.20/0.61 % (14722)Success in time 0.258 s
%------------------------------------------------------------------------------