TSTP Solution File: SET605+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET605+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : Sun May 5 09:14:26 EDT 2024
% Result : Theorem 0.17s 0.33s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 18 ( 11 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 3 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 14 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,plain,
$false,
inference(unit_resulting_resolution,[],[f39,f36,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| difference(X0,X1) = empty_set ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ( difference(X0,X1) = empty_set
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| difference(X0,X1) != empty_set ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( difference(X0,X1) = empty_set
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_empty_set) ).
fof(f36,plain,
empty_set != difference(sK1,union(sK1,sK2)),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
empty_set != difference(sK1,union(sK1,sK2)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f14,f18]) ).
fof(f18,plain,
( ? [X0,X1] : empty_set != difference(X0,union(X0,X1))
=> empty_set != difference(sK1,union(sK1,sK2)) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
? [X0,X1] : empty_set != difference(X0,union(X0,X1)),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0,X1] : empty_set = difference(X0,union(X0,X1)),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0,X1] : empty_set = difference(X0,union(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th76) ).
fof(f39,plain,
! [X0,X1] : subset(X0,union(X0,X1)),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : subset(X0,union(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_of_union) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SET605+3 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n010.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 16:56:07 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % (21599)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.32 % (21600)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.32 TRYING [1]
% 0.17/0.32 TRYING [2]
% 0.17/0.32 % (21602)WARNING: value z3 for option sas not known
% 0.17/0.32 % (21606)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)
% 0.17/0.32 % (21601)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.32 % (21602)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)
% 0.17/0.32 % (21604)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)
% 0.17/0.32 % (21603)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.33 TRYING [3]
% 0.17/0.33 % (21605)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)
% 0.17/0.33 TRYING [1]
% 0.17/0.33 TRYING [2]
% 0.17/0.33 % (21606)First to succeed.
% 0.17/0.33 % (21605)Also succeeded, but the first one will report.
% 0.17/0.33 % (21606)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21599"
% 0.17/0.33 TRYING [3]
% 0.17/0.33 % (21602)Also succeeded, but the first one will report.
% 0.17/0.33 % (21606)Refutation found. Thanks to Tanya!
% 0.17/0.33 % SZS status Theorem for theBenchmark
% 0.17/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.33 % (21606)------------------------------
% 0.17/0.33 % (21606)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.33 % (21606)Termination reason: Refutation
% 0.17/0.33
% 0.17/0.33 % (21606)Memory used [KB]: 762
% 0.17/0.33 % (21606)Time elapsed: 0.004 s
% 0.17/0.33 % (21606)Instructions burned: 4 (million)
% 0.17/0.33 % (21599)Success in time 0.018 s
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