TSTP Solution File: SET149-6 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET149-6 : 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 : n011.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 18:23:58 EDT 2022
% Result : Unsatisfiable 2.08s 0.63s
% Output : Refutation 2.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 40 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 22 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f286,plain,
$false,
inference(subsumption_resolution,[],[f285,f235]) ).
fof(f235,plain,
member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),x),
inference(resolution,[],[f230,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f230,plain,
member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),intersection(x,y)),
inference(subsumption_resolution,[],[f228,f225]) ).
fof(f225,plain,
( ~ member(not_subclass_element(intersection(x,intersection(x,y)),intersection(x,y)),intersection(x,y))
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),intersection(x,y)) ),
inference(resolution,[],[f222,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(f222,plain,
( ~ subclass(intersection(x,y),intersection(x,intersection(x,y)))
| ~ member(not_subclass_element(intersection(x,intersection(x,y)),intersection(x,y)),intersection(x,y)) ),
inference(resolution,[],[f206,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(f206,plain,
( ~ subclass(intersection(x,intersection(x,y)),intersection(x,y))
| ~ subclass(intersection(x,y),intersection(x,intersection(x,y))) ),
inference(extensionality_resolution,[],[f7,f113]) ).
fof(f113,axiom,
intersection(x,y) != intersection(x,intersection(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_idempotency_of_intersection_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| X0 = X1
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f228,plain,
( member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),intersection(x,y))
| member(not_subclass_element(intersection(x,intersection(x,y)),intersection(x,y)),intersection(x,y)) ),
inference(resolution,[],[f227,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f227,plain,
( member(not_subclass_element(intersection(x,intersection(x,y)),intersection(x,y)),intersection(x,intersection(x,y)))
| member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),intersection(x,y)) ),
inference(resolution,[],[f223,f2]) ).
fof(f223,plain,
( ~ subclass(intersection(x,y),intersection(x,intersection(x,y)))
| member(not_subclass_element(intersection(x,intersection(x,y)),intersection(x,y)),intersection(x,intersection(x,y))) ),
inference(resolution,[],[f206,f2]) ).
fof(f285,plain,
~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),x),
inference(subsumption_resolution,[],[f282,f230]) ).
fof(f282,plain,
( ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),intersection(x,y))
| ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),x) ),
inference(resolution,[],[f23,f233]) ).
fof(f233,plain,
~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),intersection(x,intersection(x,y))),
inference(subsumption_resolution,[],[f231,f224]) ).
fof(f224,plain,
( ~ member(not_subclass_element(intersection(x,intersection(x,y)),intersection(x,y)),intersection(x,y))
| ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),intersection(x,intersection(x,y))) ),
inference(resolution,[],[f222,f3]) ).
fof(f231,plain,
( member(not_subclass_element(intersection(x,intersection(x,y)),intersection(x,y)),intersection(x,y))
| ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),intersection(x,intersection(x,y))) ),
inference(resolution,[],[f226,f22]) ).
fof(f226,plain,
( member(not_subclass_element(intersection(x,intersection(x,y)),intersection(x,y)),intersection(x,intersection(x,y)))
| ~ member(not_subclass_element(intersection(x,y),intersection(x,intersection(x,y))),intersection(x,intersection(x,y))) ),
inference(resolution,[],[f223,f3]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X0)
| ~ member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET149-6 : 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_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 13:20:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.58 % (19505)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.59 % (19505)Instruction limit reached!
% 0.20/0.59 % (19505)------------------------------
% 0.20/0.59 % (19505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (19512)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.59 % (19504)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59 % (19521)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)
% 0.20/0.59 % (19520)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.59 % (19513)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)
% 0.20/0.59 % (19505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (19505)Termination reason: Unknown
% 0.20/0.59 % (19505)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (19505)Memory used [KB]: 5500
% 0.20/0.59 % (19505)Time elapsed: 0.140 s
% 0.20/0.59 % (19505)Instructions burned: 7 (million)
% 0.20/0.59 % (19505)------------------------------
% 0.20/0.59 % (19505)------------------------------
% 1.92/0.62 % (19509)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.92/0.62 % (19522)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.92/0.62 % (19499)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.92/0.62 % (19503)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.92/0.63 % (19520)First to succeed.
% 1.92/0.63 % (19508)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.92/0.63 % (19497)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)
% 1.92/0.63 % (19518)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.92/0.63 % (19502)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.92/0.63 % (19498)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.08/0.63 % (19519)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.08/0.63 % (19511)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.08/0.63 % (19526)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.08/0.63 % (19520)Refutation found. Thanks to Tanya!
% 2.08/0.63 % SZS status Unsatisfiable for theBenchmark
% 2.08/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.08/0.63 % (19520)------------------------------
% 2.08/0.63 % (19520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.63 % (19520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.63 % (19520)Termination reason: Refutation
% 2.08/0.63
% 2.08/0.63 % (19520)Memory used [KB]: 1151
% 2.08/0.63 % (19520)Time elapsed: 0.158 s
% 2.08/0.63 % (19520)Instructions burned: 12 (million)
% 2.08/0.63 % (19520)------------------------------
% 2.08/0.63 % (19520)------------------------------
% 2.08/0.63 % (19496)Success in time 0.275 s
%------------------------------------------------------------------------------