TSTP Solution File: SET590+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET590+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 : n015.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 09:14:16 EDT 2024
% Result : Theorem 0.20s 0.40s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 67 ( 27 ~; 21 |; 13 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 51 ( 44 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,plain,
$false,
inference(resolution,[],[f67,f16]) ).
fof(f16,plain,
~ subset(difference(sK0,sK1),sK0),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
~ subset(difference(sK0,sK1),sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8]) ).
fof(f8,plain,
( ? [X0,X1] : ~ subset(difference(X0,X1),X0)
=> ~ subset(difference(sK0,sK1),sK0) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
? [X0,X1] : ~ subset(difference(X0,X1),X0),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X0,X1] : subset(difference(X0,X1),X0),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X0,X1] : subset(difference(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th49) ).
fof(f67,plain,
! [X0,X1] : subset(difference(X0,X1),X0),
inference(duplicate_literal_removal,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( subset(difference(X0,X1),X0)
| subset(difference(X0,X1),X0) ),
inference(resolution,[],[f26,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ~ member(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f11,f12]) ).
fof(f12,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f11,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,[],[f10]) ).
fof(f10,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,[],[f7]) ).
fof(f7,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) ).
fof(f26,plain,
! [X2,X0,X1] :
( member(sK2(difference(X0,X1),X2),X0)
| subset(difference(X0,X1),X2) ),
inference(resolution,[],[f21,f19]) ).
fof(f19,plain,
! [X0,X1] :
( member(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ member(X2,difference(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) )
& ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ( member(X2,difference(X0,X1))
| member(X2,X1)
| ~ member(X2,X0) )
& ( ( ~ member(X2,X1)
& member(X2,X0) )
| ~ member(X2,difference(X0,X1)) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,difference(X0,X1))
<=> ( ~ member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET590+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 16:25:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (29882)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (29883)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [3]
% 0.20/0.37 TRYING [4]
% 0.20/0.38 TRYING [5]
% 0.20/0.38 TRYING [6]
% 0.20/0.38 % (29885)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 % (29889)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 % (29885)First to succeed.
% 0.20/0.38 % (29885)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29882"
% 0.20/0.38 % (29886)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]
% 0.20/0.38 TRYING [2]
% 0.20/0.39 TRYING [1,1]
% 0.20/0.39 TRYING [2,1]
% 0.20/0.39 TRYING [3,1]
% 0.20/0.39 TRYING [7]
% 0.20/0.39 TRYING [3]
% 0.20/0.39 TRYING [2,2]
% 0.20/0.39 TRYING [3,2]
% 0.20/0.39 TRYING [4,1]
% 0.20/0.39 % (29884)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.39 TRYING [4]
% 0.20/0.39 TRYING [1,1]
% 0.20/0.39 TRYING [4,2]
% 0.20/0.39 % (29888)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.39 TRYING [2,1]
% 0.20/0.39 TRYING [3,1]
% 0.20/0.39 TRYING [2,2]
% 0.20/0.39 TRYING [3,3]
% 0.20/0.39 TRYING [3,2]
% 0.20/0.39 TRYING [4,1]
% 0.20/0.39 TRYING [4,3]
% 0.20/0.39 % (29888)Also succeeded, but the first one will report.
% 0.20/0.39 TRYING [4,2]
% 0.20/0.39 TRYING [5]
% 0.20/0.40 TRYING [3,3]
% 0.20/0.40 % (29887)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.40 TRYING [4,3]
% 0.20/0.40 % (29887)Also succeeded, but the first one will report.
% 0.20/0.40 % (29885)Refutation found. Thanks to Tanya!
% 0.20/0.40 % SZS status Theorem for theBenchmark
% 0.20/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.40 % (29885)------------------------------
% 0.20/0.40 % (29885)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.40 % (29885)Termination reason: Refutation
% 0.20/0.40
% 0.20/0.40 % (29885)Memory used [KB]: 760
% 0.20/0.40 % (29885)Time elapsed: 0.004 s
% 0.20/0.40 % (29885)Instructions burned: 4 (million)
% 0.20/0.40 % (29882)Success in time 0.044 s
%------------------------------------------------------------------------------