TSTP Solution File: SET917+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET917+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 : n012.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 09:19:41 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 33 ( 15 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 6 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 20 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f43,plain,
$false,
inference(trivial_inequality_removal,[],[f42]) ).
fof(f42,plain,
singleton(sK0) != singleton(sK0),
inference(superposition,[],[f36,f41]) ).
fof(f41,plain,
singleton(sK0) = set_intersection2(sK1,singleton(sK0)),
inference(resolution,[],[f29,f38]) ).
fof(f38,plain,
in(sK0,sK1),
inference(resolution,[],[f27,f23]) ).
fof(f23,plain,
~ disjoint(singleton(sK0),sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( singleton(sK0) != set_intersection2(singleton(sK0),sK1)
& ~ disjoint(singleton(sK0),sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f12,f17]) ).
fof(f17,plain,
( ? [X0,X1] :
( singleton(X0) != set_intersection2(singleton(X0),X1)
& ~ disjoint(singleton(X0),X1) )
=> ( singleton(sK0) != set_intersection2(singleton(sK0),sK1)
& ~ disjoint(singleton(sK0),sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
? [X0,X1] :
( singleton(X0) != set_intersection2(singleton(X0),X1)
& ~ disjoint(singleton(X0),X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0,X1] :
( singleton(X0) = set_intersection2(singleton(X0),X1)
| disjoint(singleton(X0),X1) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0,X1] :
( singleton(X0) = set_intersection2(singleton(X0),X1)
| disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_zfmisc_1) ).
fof(f27,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ in(X0,X1)
=> disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l28_zfmisc_1) ).
fof(f29,plain,
! [X0,X1] :
( ~ in(X0,X1)
| singleton(X0) = set_intersection2(X1,singleton(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( singleton(X0) = set_intersection2(X1,singleton(X0))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( in(X0,X1)
=> singleton(X0) = set_intersection2(X1,singleton(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l32_zfmisc_1) ).
fof(f36,plain,
singleton(sK0) != set_intersection2(sK1,singleton(sK0)),
inference(superposition,[],[f24,f26]) ).
fof(f26,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f24,plain,
singleton(sK0) != set_intersection2(singleton(sK0),sK1),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET917+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 16:40:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (1336)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (1339)WARNING: value z3 for option sas not known
% 0.14/0.37 % (1340)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (1338)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (1337)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (1341)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)
% 0.14/0.37 % (1342)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)
% 0.14/0.37 % (1339)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)
% 0.14/0.37 % (1343)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 % (1342)First to succeed.
% 0.14/0.38 % (1343)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (1341)Also succeeded, but the first one will report.
% 0.14/0.38 % (1342)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1336"
% 0.14/0.38 % (1339)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (1342)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (1342)------------------------------
% 0.14/0.38 % (1342)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (1342)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (1342)Memory used [KB]: 759
% 0.14/0.38 % (1342)Time elapsed: 0.004 s
% 0.14/0.38 % (1342)Instructions burned: 3 (million)
% 0.14/0.38 % (1336)Success in time 0.017 s
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