TSTP Solution File: SET013-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET013-4 : TPTP v8.2.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 03:14:20 EDT 2024
% Result : Unsatisfiable 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 6 unt; 0 def)
% Number of atoms : 78 ( 27 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 78 ( 31 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f697,plain,
$false,
inference(trivial_inequality_removal,[],[f696]) ).
fof(f696,plain,
cs != cs,
inference(superposition,[],[f12,f552]) ).
fof(f552,plain,
cs = ds,
inference(duplicate_literal_removal,[],[f547]) ).
fof(f547,plain,
( cs = ds
| cs = ds ),
inference(resolution,[],[f542,f540]) ).
fof(f540,plain,
( ~ member(f1(ds,cs),ds)
| cs = ds ),
inference(resolution,[],[f538,f16]) ).
fof(f16,plain,
! [X0] :
( member(X0,as)
| ~ member(X0,ds) ),
inference(superposition,[],[f6,f11]) ).
fof(f11,axiom,
intersection(bs,as) = ds,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_of_b_and_a_is_d) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f538,plain,
( ~ member(f1(ds,cs),as)
| cs = ds ),
inference(duplicate_literal_removal,[],[f533]) ).
fof(f533,plain,
( cs = ds
| ~ member(f1(ds,cs),as)
| cs = ds
| ~ member(f1(ds,cs),as) ),
inference(resolution,[],[f427,f426]) ).
fof(f426,plain,
( ~ member(f1(ds,cs),ds)
| cs = ds
| ~ member(f1(ds,cs),as) ),
inference(resolution,[],[f419,f14]) ).
fof(f14,plain,
! [X0] :
( member(X0,bs)
| ~ member(X0,ds) ),
inference(superposition,[],[f5,f11]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f419,plain,
( ~ member(f1(ds,cs),bs)
| ~ member(f1(ds,cs),as)
| cs = ds ),
inference(duplicate_literal_removal,[],[f416]) ).
fof(f416,plain,
( ~ member(f1(ds,cs),bs)
| ~ member(f1(ds,cs),as)
| cs = ds
| ~ member(f1(ds,cs),bs)
| ~ member(f1(ds,cs),as) ),
inference(resolution,[],[f41,f20]) ).
fof(f20,plain,
! [X0] :
( member(X0,ds)
| ~ member(X0,bs)
| ~ member(X0,as) ),
inference(superposition,[],[f7,f11]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f41,plain,
! [X0] :
( ~ member(f1(X0,cs),bs)
| ~ member(f1(X0,cs),X0)
| ~ member(f1(X0,cs),as)
| cs = X0 ),
inference(resolution,[],[f4,f19]) ).
fof(f19,plain,
! [X0] :
( member(X0,cs)
| ~ member(X0,as)
| ~ member(X0,bs) ),
inference(superposition,[],[f7,f10]) ).
fof(f10,axiom,
intersection(as,bs) = cs,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_of_a_and_b_is_c) ).
fof(f4,axiom,
! [X0,X1] :
( ~ member(f1(X0,X1),X1)
| ~ member(f1(X0,X1),X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality3) ).
fof(f427,plain,
( member(f1(ds,cs),ds)
| cs = ds
| ~ member(f1(ds,cs),as) ),
inference(duplicate_literal_removal,[],[f424]) ).
fof(f424,plain,
( ~ member(f1(ds,cs),as)
| cs = ds
| member(f1(ds,cs),ds)
| cs = ds ),
inference(resolution,[],[f419,f112]) ).
fof(f112,plain,
! [X0] :
( member(f1(X0,cs),bs)
| member(f1(X0,cs),X0)
| cs = X0 ),
inference(superposition,[],[f22,f10]) ).
fof(f22,plain,
! [X2,X0,X1] :
( member(f1(X0,intersection(X1,X2)),X2)
| member(f1(X0,intersection(X1,X2)),X0)
| intersection(X1,X2) = X0 ),
inference(resolution,[],[f3,f6]) ).
fof(f3,axiom,
! [X0,X1] :
( member(f1(X0,X1),X1)
| X0 = X1
| member(f1(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality2) ).
fof(f542,plain,
( member(f1(ds,cs),ds)
| cs = ds ),
inference(duplicate_literal_removal,[],[f539]) ).
fof(f539,plain,
( cs = ds
| member(f1(ds,cs),ds)
| cs = ds ),
inference(resolution,[],[f538,f170]) ).
fof(f170,plain,
! [X0] :
( member(f1(X0,cs),as)
| member(f1(X0,cs),X0)
| cs = X0 ),
inference(superposition,[],[f23,f10]) ).
fof(f23,plain,
! [X2,X0,X1] :
( member(f1(X0,intersection(X1,X2)),X1)
| member(f1(X0,intersection(X1,X2)),X0)
| intersection(X1,X2) = X0 ),
inference(resolution,[],[f3,f5]) ).
fof(f12,axiom,
cs != ds,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_equals_d) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET013-4 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon May 20 11:52:38 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % (23873)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.37 % (23876)WARNING: value z3 for option sas not known
% 0.12/0.37 % (23876)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)
% 0.20/0.38 % (23874)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38 % (23875)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 % (23877)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.38 % (23878)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)
% 0.20/0.38 % (23879)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)
% 0.20/0.38 % (23880)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)
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [3]
% 0.20/0.38 TRYING [1]
% 0.20/0.39 TRYING [2]
% 0.20/0.39 TRYING [4]
% 0.20/0.39 TRYING [3]
% 0.20/0.40 TRYING [5]
% 0.20/0.41 TRYING [4]
% 0.20/0.41 % (23879)First to succeed.
% 0.20/0.42 % (23879)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23873"
% 0.20/0.42 % (23879)Refutation found. Thanks to Tanya!
% 0.20/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.42 % (23879)------------------------------
% 0.20/0.42 % (23879)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.42 % (23879)Termination reason: Refutation
% 0.20/0.42
% 0.20/0.42 % (23879)Memory used [KB]: 1067
% 0.20/0.42 % (23879)Time elapsed: 0.038 s
% 0.20/0.42 % (23879)Instructions burned: 35 (million)
% 0.20/0.42 % (23873)Success in time 0.064 s
%------------------------------------------------------------------------------