TSTP Solution File: SET386-6 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET386-6 : 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 : 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 18:20:36 EDT 2022
% Result : Unsatisfiable 0.16s 0.54s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 18 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 5 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f461,plain,
$false,
inference(subsumption_resolution,[],[f315,f114]) ).
fof(f114,axiom,
~ subclass(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relation_property4_2) ).
fof(f315,plain,
subclass(x,cross_product(universal_class,universal_class)),
inference(duplicate_literal_removal,[],[f309]) ).
fof(f309,plain,
( subclass(x,cross_product(universal_class,universal_class))
| subclass(x,cross_product(universal_class,universal_class)) ),
inference(resolution,[],[f155,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(f155,plain,
! [X0] :
( ~ member(not_subclass_element(X0,cross_product(universal_class,universal_class)),x)
| subclass(X0,cross_product(universal_class,universal_class)) ),
inference(resolution,[],[f150,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(f150,plain,
! [X0] :
( member(X0,cross_product(universal_class,universal_class))
| ~ member(X0,x) ),
inference(superposition,[],[f22,f135]) ).
fof(f135,plain,
x = intersection(x,cross_product(universal_class,universal_class)),
inference(definition_unfolding,[],[f113,f28]) ).
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(f113,axiom,
x = restrict(x,universal_class,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relation_property4_1) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET386-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.09/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.34 % Computer : n011.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue Aug 30 13:43:10 EDT 2022
% 0.11/0.34 % CPUTime :
% 0.16/0.51 % (14152)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.16/0.51 % (14155)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)
% 0.16/0.51 % (14155)Instruction limit reached!
% 0.16/0.51 % (14155)------------------------------
% 0.16/0.51 % (14155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (14155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (14155)Termination reason: Unknown
% 0.16/0.51 % (14155)Termination phase: Function definition elimination
% 0.16/0.51
% 0.16/0.51 % (14155)Memory used [KB]: 1407
% 0.16/0.51 % (14155)Time elapsed: 0.003 s
% 0.16/0.51 % (14155)Instructions burned: 3 (million)
% 0.16/0.51 % (14155)------------------------------
% 0.16/0.51 % (14155)------------------------------
% 0.16/0.51 % (14169)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.16/0.51 % (14161)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.16/0.52 % (14171)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.16/0.52 % (14163)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.52 % (14163)Instruction limit reached!
% 0.16/0.52 % (14163)------------------------------
% 0.16/0.52 % (14163)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52 % (14163)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52 % (14163)Termination reason: Unknown
% 0.16/0.52 % (14163)Termination phase: Function definition elimination
% 0.16/0.52
% 0.16/0.52 % (14163)Memory used [KB]: 1407
% 0.16/0.52 % (14163)Time elapsed: 0.005 s
% 0.16/0.52 % (14163)Instructions burned: 2 (million)
% 0.16/0.52 % (14163)------------------------------
% 0.16/0.52 % (14163)------------------------------
% 0.16/0.53 % (14171)First to succeed.
% 0.16/0.54 % (14158)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.16/0.54 % (14159)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.16/0.54 % (14171)Refutation found. Thanks to Tanya!
% 0.16/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.54 % (14171)------------------------------
% 0.16/0.54 % (14171)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54 % (14171)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54 % (14171)Termination reason: Refutation
% 0.16/0.54
% 0.16/0.54 % (14171)Memory used [KB]: 6140
% 0.16/0.54 % (14171)Time elapsed: 0.126 s
% 0.16/0.54 % (14171)Instructions burned: 12 (million)
% 0.16/0.54 % (14171)------------------------------
% 0.16/0.54 % (14171)------------------------------
% 0.16/0.54 % (14146)Success in time 0.191 s
%------------------------------------------------------------------------------