TSTP Solution File: SET602+4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET602+4 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 03:19:37 EDT 2024
% Result : Theorem 0.18s 0.38s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 13 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 97 ( 43 ~; 29 |; 16 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 69 ( 64 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1212,plain,
$false,
inference(resolution,[],[f1211,f110]) ).
fof(f110,plain,
~ subset(difference(sK0,sK0),empty_set),
inference(subsumption_resolution,[],[f109,f87]) ).
fof(f87,plain,
! [X0] : subset(empty_set,X0),
inference(resolution,[],[f57,f55]) ).
fof(f55,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] : ~ member(X0,empty_set),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2] : ~ member(X2,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set) ).
fof(f57,plain,
! [X0,X1] :
( member(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f33,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f109,plain,
( ~ subset(empty_set,difference(sK0,sK0))
| ~ subset(difference(sK0,sK0),empty_set) ),
inference(resolution,[],[f59,f54]) ).
fof(f54,plain,
~ equal_set(difference(sK0,sK0),empty_set),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
~ equal_set(difference(sK0,sK0),empty_set),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f25,f30]) ).
fof(f30,plain,
( ? [X0] : ~ equal_set(difference(X0,X0),empty_set)
=> ~ equal_set(difference(sK0,sK0),empty_set) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0] : ~ equal_set(difference(X0,X0),empty_set),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0] : equal_set(difference(X0,X0),empty_set),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X3] : equal_set(difference(X3,X3),empty_set),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X3] : equal_set(difference(X3,X3),empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI29) ).
fof(f59,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
fof(f1211,plain,
! [X0,X1] : subset(difference(X0,X0),X1),
inference(duplicate_literal_removal,[],[f1176]) ).
fof(f1176,plain,
! [X0,X1] :
( subset(difference(X0,X0),X1)
| subset(difference(X0,X0),X1) ),
inference(resolution,[],[f98,f97]) ).
fof(f97,plain,
! [X2,X0,X1] :
( member(sK1(difference(X0,X1),X2),X0)
| subset(difference(X0,X1),X2) ),
inference(resolution,[],[f79,f57]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| member(X0,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( member(X0,difference(X2,X1))
| member(X0,X1)
| ~ member(X0,X2) )
& ( ( ~ member(X0,X1)
& member(X0,X2) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ( member(X0,difference(X2,X1))
| member(X0,X1)
| ~ member(X0,X2) )
& ( ( ~ member(X0,X1)
& member(X0,X2) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( member(X0,difference(X2,X1))
<=> ( ~ member(X0,X1)
& member(X0,X2) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0,X3] :
( member(X1,difference(X3,X0))
<=> ( ~ member(X1,X0)
& member(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ member(sK1(difference(X0,X1),X2),X1)
| subset(difference(X0,X1),X2) ),
inference(resolution,[],[f80,f57]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SET602+4 : TPTP v8.2.0. Released v2.2.0.
% 0.02/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n027.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon May 20 11:20:38 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (28123)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.35 % (28126)WARNING: value z3 for option sas not known
% 0.18/0.35 % (28126)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)
% 0.18/0.35 % (28128)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)
% 0.18/0.35 % (28130)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)
% 0.18/0.35 % (28124)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.35 % (28127)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.35 % (28125)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.35 TRYING [1]
% 0.18/0.35 % (28129)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)
% 0.18/0.35 TRYING [2]
% 0.18/0.35 TRYING [3]
% 0.18/0.36 TRYING [1]
% 0.18/0.36 TRYING [4]
% 0.18/0.36 TRYING [2]
% 0.18/0.37 TRYING [5]
% 0.18/0.37 TRYING [3]
% 0.18/0.37 TRYING [1]
% 0.18/0.37 TRYING [2]
% 0.18/0.37 TRYING [3]
% 0.18/0.38 % (28126)First to succeed.
% 0.18/0.38 % (28126)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28123"
% 0.18/0.38 % (28126)Refutation found. Thanks to Tanya!
% 0.18/0.38 % SZS status Theorem for theBenchmark
% 0.18/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.38 % (28126)------------------------------
% 0.18/0.38 % (28126)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.38 % (28126)Termination reason: Refutation
% 0.18/0.38
% 0.18/0.38 % (28126)Memory used [KB]: 1354
% 0.18/0.38 % (28126)Time elapsed: 0.029 s
% 0.18/0.38 % (28126)Instructions burned: 48 (million)
% 0.18/0.38 % (28123)Success in time 0.044 s
%------------------------------------------------------------------------------