TSTP Solution File: SET978+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET978+1 : TPTP v8.1.2. Released v3.2.0.
% 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 Apr 30 15:14:10 EDT 2024
% Result : Theorem 0.22s 0.40s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 45 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 54 ( 29 ~; 13 |; 7 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 30 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f48,plain,
$false,
inference(trivial_inequality_removal,[],[f47]) ).
fof(f47,plain,
sK0 != sK0,
inference(superposition,[],[f18,f39]) ).
fof(f39,plain,
sK0 = sK1,
inference(resolution,[],[f37,f20]) ).
fof(f20,plain,
! [X0,X1] :
( disjoint(singleton(X0),singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( disjoint(singleton(X0),singleton(X1))
| X0 = X1 ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( X0 != X1
=> disjoint(singleton(X0),singleton(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_zfmisc_1) ).
fof(f37,plain,
~ disjoint(singleton(sK0),singleton(sK1)),
inference(duplicate_literal_removal,[],[f34]) ).
fof(f34,plain,
( ~ disjoint(singleton(sK0),singleton(sK1))
| ~ disjoint(singleton(sK0),singleton(sK1)) ),
inference(resolution,[],[f27,f23]) ).
fof(f23,plain,
! [X2,X3,X0,X1] :
( disjoint(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
| ~ disjoint(X2,X3) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1,X2,X3] :
( disjoint(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
| ( ~ disjoint(X2,X3)
& ~ disjoint(X0,X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( ( disjoint(X2,X3)
| disjoint(X0,X1) )
=> disjoint(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t127_zfmisc_1) ).
fof(f27,plain,
( ~ disjoint(cartesian_product2(sK2,singleton(sK0)),cartesian_product2(sK3,singleton(sK1)))
| ~ disjoint(singleton(sK0),singleton(sK1)) ),
inference(resolution,[],[f19,f22]) ).
fof(f22,plain,
! [X2,X3,X0,X1] :
( disjoint(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f19,plain,
( ~ disjoint(cartesian_product2(singleton(sK0),sK2),cartesian_product2(singleton(sK1),sK3))
| ~ disjoint(cartesian_product2(sK2,singleton(sK0)),cartesian_product2(sK3,singleton(sK1))) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
( ( ~ disjoint(cartesian_product2(sK2,singleton(sK0)),cartesian_product2(sK3,singleton(sK1)))
| ~ disjoint(cartesian_product2(singleton(sK0),sK2),cartesian_product2(singleton(sK1),sK3)) )
& sK0 != sK1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f8,f12]) ).
fof(f12,plain,
( ? [X0,X1,X2,X3] :
( ( ~ disjoint(cartesian_product2(X2,singleton(X0)),cartesian_product2(X3,singleton(X1)))
| ~ disjoint(cartesian_product2(singleton(X0),X2),cartesian_product2(singleton(X1),X3)) )
& X0 != X1 )
=> ( ( ~ disjoint(cartesian_product2(sK2,singleton(sK0)),cartesian_product2(sK3,singleton(sK1)))
| ~ disjoint(cartesian_product2(singleton(sK0),sK2),cartesian_product2(singleton(sK1),sK3)) )
& sK0 != sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
? [X0,X1,X2,X3] :
( ( ~ disjoint(cartesian_product2(X2,singleton(X0)),cartesian_product2(X3,singleton(X1)))
| ~ disjoint(cartesian_product2(singleton(X0),X2),cartesian_product2(singleton(X1),X3)) )
& X0 != X1 ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( X0 != X1
=> ( disjoint(cartesian_product2(X2,singleton(X0)),cartesian_product2(X3,singleton(X1)))
& disjoint(cartesian_product2(singleton(X0),X2),cartesian_product2(singleton(X1),X3)) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
! [X0,X1,X2,X3] :
( X0 != X1
=> ( disjoint(cartesian_product2(X2,singleton(X0)),cartesian_product2(X3,singleton(X1)))
& disjoint(cartesian_product2(singleton(X0),X2),cartesian_product2(singleton(X1),X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t131_zfmisc_1) ).
fof(f18,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET978+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 01:30:17 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (26115)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40 % (26120)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.40 % (26119)WARNING: value z3 for option sas not known
% 0.15/0.40 % (26117)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.40 % (26122)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)
% 0.15/0.40 TRYING [1]
% 0.22/0.40 % (26118)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.40 % (26119)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)
% 0.22/0.40 TRYING [2]
% 0.22/0.40 % (26121)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)
% 0.22/0.40 % (26123)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)
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [3]
% 0.22/0.40 % (26122)First to succeed.
% 0.22/0.40 TRYING [2]
% 0.22/0.40 % (26119)Also succeeded, but the first one will report.
% 0.22/0.40 % (26121)Also succeeded, but the first one will report.
% 0.22/0.40 % (26122)Refutation found. Thanks to Tanya!
% 0.22/0.40 % SZS status Theorem for theBenchmark
% 0.22/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40 % (26122)------------------------------
% 0.22/0.40 % (26122)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.40 % (26122)Termination reason: Refutation
% 0.22/0.40
% 0.22/0.40 % (26122)Memory used [KB]: 766
% 0.22/0.40 % (26122)Time elapsed: 0.006 s
% 0.22/0.40 % (26122)Instructions burned: 4 (million)
% 0.22/0.40 % (26122)------------------------------
% 0.22/0.40 % (26122)------------------------------
% 0.22/0.40 % (26115)Success in time 0.033 s
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