TSTP Solution File: SET014-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET014-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 Apr 30 15:03:59 EDT 2024
% Result : Unsatisfiable 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 22 ( 14 unt; 0 def)
% Number of atoms : 33 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 16 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8268,plain,
$false,
inference(subsumption_resolution,[],[f8240,f7195]) ).
fof(f7195,plain,
~ member(f17(union(as,bs),cs),intersection(complement(as),complement(bs))),
inference(unit_resulting_resolution,[],[f34,f400]) ).
fof(f400,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(complement(X0),complement(X1)))
| ~ member(X2,union(X0,X1)) ),
inference(superposition,[],[f8,f10]) ).
fof(f10,axiom,
! [X0,X1] : union(X0,X1) = complement(intersection(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f8,axiom,
! [X2,X0] :
( ~ member(X2,complement(X0))
| ~ member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f34,plain,
member(f17(union(as,bs),cs),union(as,bs)),
inference(unit_resulting_resolution,[],[f18,f14]) ).
fof(f14,axiom,
! [X0,X1] :
( subset(X0,X1)
| member(f17(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset2) ).
fof(f18,axiom,
~ subset(union(as,bs),cs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_union_b_subset_of_c) ).
fof(f8240,plain,
member(f17(union(as,bs),cs),intersection(complement(as),complement(bs))),
inference(unit_resulting_resolution,[],[f1194,f1215,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ member(X2,X1)
| ~ member(X2,X0)
| member(X2,intersection(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f1215,plain,
member(f17(union(as,bs),cs),complement(bs)),
inference(unit_resulting_resolution,[],[f48,f255,f9]) ).
fof(f9,axiom,
! [X2,X0] :
( ~ little_set(X2)
| member(X2,X0)
| member(X2,complement(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f255,plain,
~ member(f17(union(as,bs),cs),bs),
inference(unit_resulting_resolution,[],[f43,f17,f13]) ).
fof(f13,axiom,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset1) ).
fof(f17,axiom,
subset(bs,cs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_subset_of_c) ).
fof(f43,plain,
~ member(f17(union(as,bs),cs),cs),
inference(unit_resulting_resolution,[],[f18,f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ~ member(f17(X0,X1),X1)
| subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset3) ).
fof(f48,plain,
little_set(f17(union(as,bs),cs)),
inference(unit_resulting_resolution,[],[f34,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| little_set(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
fof(f1194,plain,
member(f17(union(as,bs),cs),complement(as)),
inference(unit_resulting_resolution,[],[f48,f254,f9]) ).
fof(f254,plain,
~ member(f17(union(as,bs),cs),as),
inference(unit_resulting_resolution,[],[f43,f16,f13]) ).
fof(f16,axiom,
subset(as,cs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_subset_of_c) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET014-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 01:34:26 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (12623)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (12627)WARNING: value z3 for option sas not known
% 0.14/0.37 % (12627)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)
% 0.14/0.38 % (12628)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (12625)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (12629)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)
% 0.14/0.38 % (12626)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (12631)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)
% 0.14/0.38 % (12630)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [5]
% 0.21/0.41 TRYING [4]
% 0.21/0.43 TRYING [6]
% 0.21/0.49 % (12631)First to succeed.
% 0.21/0.49 % (12631)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (12631)------------------------------
% 0.21/0.49 % (12631)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.49 % (12631)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (12631)Memory used [KB]: 1811
% 0.21/0.49 % (12631)Time elapsed: 0.115 s
% 0.21/0.49 % (12631)Instructions burned: 221 (million)
% 0.21/0.49 % (12631)------------------------------
% 0.21/0.49 % (12631)------------------------------
% 0.21/0.49 % (12623)Success in time 0.132 s
%------------------------------------------------------------------------------