TSTP Solution File: SET062+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET062+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 : n004.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 15:05:22 EDT 2024
% Result : Theorem 0.20s 0.38s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 44 ( 20 ~; 11 |; 8 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 29 ( 24 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,plain,
$false,
inference(resolution,[],[f21,f15]) ).
fof(f15,plain,
~ subset(empty_set,sK0),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
~ subset(empty_set,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f9]) ).
fof(f9,plain,
( ? [X0] : ~ subset(empty_set,X0)
=> ~ subset(empty_set,sK0) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
? [X0] : ~ subset(empty_set,X0),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ! [X0] : subset(empty_set,X0),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_empty_set_subset) ).
fof(f21,plain,
! [X0] : subset(empty_set,X0),
inference(resolution,[],[f19,f16]) ).
fof(f16,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ member(X0,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set_defn) ).
fof(f19,plain,
! [X0,X1] :
( member(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,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])],[f12,f13]) ).
fof(f13,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f12,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,[],[f11]) ).
fof(f11,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,[],[f8]) ).
fof(f8,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET062+3 : TPTP v8.1.2. Released v2.2.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n004.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 01:23:48 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (13585)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.38 % (13589)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.38 % (13591)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.38 TRYING [1,1]
% 0.20/0.38 TRYING [2,1]
% 0.20/0.38 % (13594)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.38 % (13590)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.20/0.38 % (13593)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.38 TRYING [2,2]
% 0.20/0.38 % (13588)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.38 TRYING [3,3]
% 0.20/0.38 TRYING [4,4]
% 0.20/0.38 % (13592)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.38 TRYING [1,1]
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2,1]
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [2,2]
% 0.20/0.38 TRYING [5,5]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [3]
% 0.20/0.38 TRYING [3,3]
% 0.20/0.38 TRYING [3]
% 0.20/0.38 % (13590)First to succeed.
% 0.20/0.38 TRYING [4]
% 0.20/0.38 TRYING [4]
% 0.20/0.38 TRYING [6,6]
% 0.20/0.38 TRYING [4,4]
% 0.20/0.38 TRYING [5]
% 0.20/0.38 TRYING [5]
% 0.20/0.38 TRYING [5,5]
% 0.20/0.38 % (13593)Also succeeded, but the first one will report.
% 0.20/0.38 TRYING [7,7]
% 0.20/0.38 TRYING [6]
% 0.20/0.38 TRYING [6]
% 0.20/0.38 TRYING [6,6]
% 0.20/0.38 TRYING [7]
% 0.20/0.38 TRYING [7]
% 0.20/0.38 % (13592)Also succeeded, but the first one will report.
% 0.20/0.38 TRYING [8,8]
% 0.20/0.38 % (13590)Refutation found. Thanks to Tanya!
% 0.20/0.38 % SZS status Theorem for theBenchmark
% 0.20/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.38 % (13590)------------------------------
% 0.20/0.38 % (13590)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.38 % (13590)Termination reason: Refutation
% 0.20/0.38
% 0.20/0.38 % (13590)Memory used [KB]: 735
% 0.20/0.38 % (13590)Time elapsed: 0.004 s
% 0.20/0.38 % (13590)Instructions burned: 2 (million)
% 0.20/0.38 % (13590)------------------------------
% 0.20/0.38 % (13590)------------------------------
% 0.20/0.38 % (13585)Success in time 0.019 s
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