TSTP Solution File: SET244-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET244-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue May 21 03:18:00 EDT 2024
% Result : Unsatisfiable 86.26s 12.72s
% Output : Refutation 86.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 8 unt; 0 def)
% Number of atoms : 47 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 19 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 3 ( 1 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 : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51691,plain,
$false,
inference(trivial_inequality_removal,[],[f51656]) ).
fof(f51656,plain,
cross_product(x,y) != cross_product(x,y),
inference(superposition,[],[f113,f36056]) ).
fof(f36056,plain,
! [X0,X1] : cross_product(X0,X1) = restrict(universal_class,X0,X1),
inference(superposition,[],[f30521,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(f30521,plain,
! [X0] : intersection(universal_class,X0) = X0,
inference(resolution,[],[f30285,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f30285,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| intersection(X1,X0) = X0 ),
inference(resolution,[],[f26789,f4078]) ).
fof(f4078,plain,
! [X0,X1] :
( ~ subclass(X0,intersection(X1,X0))
| intersection(X1,X0) = X0 ),
inference(resolution,[],[f4063,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f4063,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f4023]) ).
fof(f4023,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f133,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f133,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f22,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f26789,plain,
! [X0,X1] :
( subclass(X0,intersection(X1,X0))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f26719]) ).
fof(f26719,plain,
! [X0,X1] :
( subclass(X0,intersection(X1,X0))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X1,X0)) ),
inference(resolution,[],[f12865,f160]) ).
fof(f160,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X2),X1)
| ~ subclass(X0,X1)
| subclass(X0,X2) ),
inference(resolution,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f12865,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
| subclass(X0,intersection(X1,X0)) ),
inference(duplicate_literal_removal,[],[f12802]) ).
fof(f12802,plain,
! [X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X0)),X1)
| subclass(X0,intersection(X1,X0))
| subclass(X0,intersection(X1,X0)) ),
inference(resolution,[],[f748,f2]) ).
fof(f748,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f23,f3]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET244-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n011.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon May 20 13:10:38 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.34 % (4305)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (4308)WARNING: value z3 for option sas not known
% 0.15/0.38 % (4306)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (4309)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (4307)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (4310)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (4308)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (4312)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (4311)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.44 TRYING [1]
% 0.21/0.44 TRYING [2]
% 0.21/0.50 TRYING [3]
% 1.48/0.61 TRYING [1]
% 1.48/0.62 TRYING [2]
% 2.51/0.71 TRYING [4]
% 3.01/0.79 TRYING [3]
% 6.28/1.27 TRYING [5]
% 7.86/1.48 TRYING [1]
% 7.86/1.49 TRYING [2]
% 7.86/1.51 TRYING [3]
% 8.66/1.58 TRYING [4]
% 9.98/1.81 TRYING [5]
% 10.66/1.87 TRYING [4]
% 15.49/2.56 TRYING [6]
% 20.31/3.26 TRYING [6]
% 30.66/4.72 TRYING [7]
% 60.18/8.99 TRYING [8]
% 86.26/12.69 % (4308)First to succeed.
% 86.26/12.69 % (4308)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4305"
% 86.26/12.72 % (4308)Refutation found. Thanks to Tanya!
% 86.26/12.72 % SZS status Unsatisfiable for theBenchmark
% 86.26/12.72 % SZS output start Proof for theBenchmark
% See solution above
% 86.26/12.72 % (4308)------------------------------
% 86.26/12.72 % (4308)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 86.26/12.72 % (4308)Termination reason: Refutation
% 86.26/12.72
% 86.26/12.72 % (4308)Memory used [KB]: 158574
% 86.26/12.72 % (4308)Time elapsed: 12.311 s
% 86.26/12.72 % (4308)Instructions burned: 15728 (million)
% 86.26/12.72 % (4305)Success in time 12.358 s
%------------------------------------------------------------------------------