TSTP Solution File: SET244-6 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET244-6 : 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 : n022.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 18:19:55 EDT 2022
% Result : Unsatisfiable 0.14s 0.47s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 9 unt; 0 def)
% Number of atoms : 46 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 25 ~; 20 |; 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 : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f285,plain,
$false,
inference(subsumption_resolution,[],[f284,f240]) ).
fof(f240,plain,
member(not_subclass_element(cross_product(x,y),intersection(universal_class,cross_product(x,y))),universal_class),
inference(resolution,[],[f193,f231]) ).
fof(f231,plain,
member(not_subclass_element(cross_product(x,y),intersection(universal_class,cross_product(x,y))),cross_product(x,y)),
inference(subsumption_resolution,[],[f229,f226]) ).
fof(f226,plain,
( ~ member(not_subclass_element(intersection(universal_class,cross_product(x,y)),cross_product(x,y)),cross_product(x,y))
| member(not_subclass_element(cross_product(x,y),intersection(universal_class,cross_product(x,y))),cross_product(x,y)) ),
inference(resolution,[],[f223,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f223,plain,
( ~ subclass(cross_product(x,y),intersection(universal_class,cross_product(x,y)))
| ~ member(not_subclass_element(intersection(universal_class,cross_product(x,y)),cross_product(x,y)),cross_product(x,y)) ),
inference(resolution,[],[f207,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f207,plain,
( ~ subclass(intersection(universal_class,cross_product(x,y)),cross_product(x,y))
| ~ subclass(cross_product(x,y),intersection(universal_class,cross_product(x,y))) ),
inference(extensionality_resolution,[],[f7,f145]) ).
fof(f145,plain,
cross_product(x,y) != intersection(universal_class,cross_product(x,y)),
inference(definition_unfolding,[],[f113,f28]) ).
fof(f28,axiom,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
fof(f113,axiom,
restrict(universal_class,x,y) != cross_product(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_with_universal_class_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| X0 = X1
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f229,plain,
( member(not_subclass_element(cross_product(x,y),intersection(universal_class,cross_product(x,y))),cross_product(x,y))
| member(not_subclass_element(intersection(universal_class,cross_product(x,y)),cross_product(x,y)),cross_product(x,y)) ),
inference(resolution,[],[f228,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f228,plain,
( member(not_subclass_element(intersection(universal_class,cross_product(x,y)),cross_product(x,y)),intersection(universal_class,cross_product(x,y)))
| member(not_subclass_element(cross_product(x,y),intersection(universal_class,cross_product(x,y))),cross_product(x,y)) ),
inference(resolution,[],[f224,f2]) ).
fof(f224,plain,
( ~ subclass(cross_product(x,y),intersection(universal_class,cross_product(x,y)))
| member(not_subclass_element(intersection(universal_class,cross_product(x,y)),cross_product(x,y)),intersection(universal_class,cross_product(x,y))) ),
inference(resolution,[],[f207,f2]) ).
fof(f193,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f284,plain,
~ member(not_subclass_element(cross_product(x,y),intersection(universal_class,cross_product(x,y))),universal_class),
inference(subsumption_resolution,[],[f281,f231]) ).
fof(f281,plain,
( ~ member(not_subclass_element(cross_product(x,y),intersection(universal_class,cross_product(x,y))),cross_product(x,y))
| ~ member(not_subclass_element(cross_product(x,y),intersection(universal_class,cross_product(x,y))),universal_class) ),
inference(resolution,[],[f23,f234]) ).
fof(f234,plain,
~ member(not_subclass_element(cross_product(x,y),intersection(universal_class,cross_product(x,y))),intersection(universal_class,cross_product(x,y))),
inference(subsumption_resolution,[],[f232,f225]) ).
fof(f225,plain,
( ~ member(not_subclass_element(intersection(universal_class,cross_product(x,y)),cross_product(x,y)),cross_product(x,y))
| ~ member(not_subclass_element(cross_product(x,y),intersection(universal_class,cross_product(x,y))),intersection(universal_class,cross_product(x,y))) ),
inference(resolution,[],[f223,f3]) ).
fof(f232,plain,
( ~ member(not_subclass_element(cross_product(x,y),intersection(universal_class,cross_product(x,y))),intersection(universal_class,cross_product(x,y)))
| member(not_subclass_element(intersection(universal_class,cross_product(x,y)),cross_product(x,y)),cross_product(x,y)) ),
inference(resolution,[],[f227,f22]) ).
fof(f227,plain,
( member(not_subclass_element(intersection(universal_class,cross_product(x,y)),cross_product(x,y)),intersection(universal_class,cross_product(x,y)))
| ~ member(not_subclass_element(cross_product(x,y),intersection(universal_class,cross_product(x,y))),intersection(universal_class,cross_product(x,y))) ),
inference(resolution,[],[f224,f3]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X0)
| ~ member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SET244-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.05/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30 % Computer : n022.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 13:31:56 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.44 % (19348)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.14/0.45 % (19345)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.45 % (19356)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.14/0.45 % (19345)Refutation not found, incomplete strategy% (19345)------------------------------
% 0.14/0.45 % (19345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.45 % (19346)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)
% 0.14/0.45 % (19344)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.14/0.45 % (19356)Refutation not found, incomplete strategy% (19356)------------------------------
% 0.14/0.45 % (19356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46 % (19362)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.14/0.46 % (19348)Instruction limit reached!
% 0.14/0.46 % (19348)------------------------------
% 0.14/0.46 % (19348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46 % (19344)First to succeed.
% 0.14/0.46 % (19346)Instruction limit reached!
% 0.14/0.46 % (19346)------------------------------
% 0.14/0.46 % (19346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46 % (19365)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.14/0.46 % (19348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46 % (19348)Termination reason: Unknown
% 0.14/0.46 % (19348)Termination phase: Property scanning
% 0.14/0.46
% 0.14/0.46 % (19348)Memory used [KB]: 1407
% 0.14/0.46 % (19348)Time elapsed: 0.006 s
% 0.14/0.46 % (19348)Instructions burned: 6 (million)
% 0.14/0.46 % (19348)------------------------------
% 0.14/0.46 % (19348)------------------------------
% 0.14/0.46 % (19353)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.14/0.46 % (19345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46 % (19345)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.46
% 0.14/0.46 % (19345)Memory used [KB]: 5884
% 0.14/0.46 % (19345)Time elapsed: 0.092 s
% 0.14/0.46 % (19345)Instructions burned: 2 (million)
% 0.14/0.46 % (19345)------------------------------
% 0.14/0.46 % (19345)------------------------------
% 0.14/0.46 % (19363)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)
% 0.14/0.46 % (19346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46 % (19346)Termination reason: Unknown
% 0.14/0.46 % (19346)Termination phase: Function definition elimination
% 0.14/0.46
% 0.14/0.46 % (19346)Memory used [KB]: 1407
% 0.14/0.46 % (19346)Time elapsed: 0.004 s
% 0.14/0.46 % (19346)Instructions burned: 3 (million)
% 0.14/0.46 % (19346)------------------------------
% 0.14/0.46 % (19346)------------------------------
% 0.14/0.46 % (19356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.46 % (19356)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.46
% 0.14/0.46 % (19356)Memory used [KB]: 10746
% 0.14/0.46 % (19356)Time elapsed: 0.106 s
% 0.14/0.46 % (19356)Instructions burned: 16 (million)
% 0.14/0.46 % (19356)------------------------------
% 0.14/0.46 % (19356)------------------------------
% 0.14/0.47 % (19354)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)
% 0.14/0.47 % (19344)Refutation found. Thanks to Tanya!
% 0.14/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.47 % (19344)------------------------------
% 0.14/0.47 % (19344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.47 % (19344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47 % (19344)Termination reason: Refutation
% 0.14/0.47
% 0.14/0.47 % (19344)Memory used [KB]: 1535
% 0.14/0.47 % (19344)Time elapsed: 0.098 s
% 0.14/0.47 % (19344)Instructions burned: 12 (million)
% 0.14/0.47 % (19344)------------------------------
% 0.14/0.47 % (19344)------------------------------
% 0.14/0.47 % (19337)Success in time 0.16 s
%------------------------------------------------------------------------------