TSTP Solution File: SET923+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET923+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 : n016.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 09:19:42 EDT 2024
% Result : Theorem 0.21s 0.37s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 5 unt; 0 def)
% Number of atoms : 49 ( 37 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 59 ( 27 ~; 12 |; 17 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 18 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,plain,
$false,
inference(unit_resulting_resolution,[],[f21,f22,f34,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ subset(X0,singleton(X1))
| empty_set = X0
| singleton(X1) = X0 ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ( subset(X0,singleton(X1))
| ( singleton(X1) != X0
& empty_set != X0 ) )
& ( singleton(X1) = X0
| empty_set = X0
| ~ subset(X0,singleton(X1)) ) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ( subset(X0,singleton(X1))
| ( singleton(X1) != X0
& empty_set != X0 ) )
& ( singleton(X1) = X0
| empty_set = X0
| ~ subset(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subset(X0,singleton(X1))
<=> ( singleton(X1) = X0
| empty_set = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_zfmisc_1) ).
fof(f34,plain,
subset(sK0,singleton(sK1)),
inference(unit_resulting_resolution,[],[f20,f28]) ).
fof(f28,plain,
! [X0,X1] :
( empty_set != set_difference(X0,X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( empty_set = set_difference(X0,X1)
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| empty_set != set_difference(X0,X1) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( empty_set = set_difference(X0,X1)
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
fof(f20,plain,
empty_set = set_difference(sK0,singleton(sK1)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
( sK0 != singleton(sK1)
& empty_set != sK0
& empty_set = set_difference(sK0,singleton(sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f11]) ).
fof(f11,plain,
( ? [X0,X1] :
( singleton(X1) != X0
& empty_set != X0
& empty_set = set_difference(X0,singleton(X1)) )
=> ( sK0 != singleton(sK1)
& empty_set != sK0
& empty_set = set_difference(sK0,singleton(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
? [X0,X1] :
( singleton(X1) != X0
& empty_set != X0
& empty_set = set_difference(X0,singleton(X1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0,X1] :
~ ( singleton(X1) != X0
& empty_set != X0
& empty_set = set_difference(X0,singleton(X1)) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X1] :
~ ( singleton(X1) != X0
& empty_set != X0
& empty_set = set_difference(X0,singleton(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t66_zfmisc_1) ).
fof(f22,plain,
sK0 != singleton(sK1),
inference(cnf_transformation,[],[f12]) ).
fof(f21,plain,
empty_set != sK0,
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET923+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 17:04:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (25019)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (25022)WARNING: value z3 for option sas not known
% 0.21/0.37 % (25020)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (25022)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)
% 0.21/0.37 % (25023)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (25024)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)
% 0.21/0.37 % (25021)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (25025)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)
% 0.21/0.37 % (25026)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)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [3]
% 0.21/0.37 TRYING [1]
% 0.21/0.37 % (25026)First to succeed.
% 0.21/0.37 % (25025)Also succeeded, but the first one will report.
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [4]
% 0.21/0.37 % (25024)Also succeeded, but the first one will report.
% 0.21/0.37 % (25026)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25019"
% 0.21/0.37 % (25022)Also succeeded, but the first one will report.
% 0.21/0.37 TRYING [1]
% 0.21/0.37 % (25026)Refutation found. Thanks to Tanya!
% 0.21/0.37 % SZS status Theorem for theBenchmark
% 0.21/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.37 % (25026)------------------------------
% 0.21/0.37 % (25026)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.37 % (25026)Termination reason: Refutation
% 0.21/0.37
% 0.21/0.37 % (25026)Memory used [KB]: 744
% 0.21/0.37 % (25026)Time elapsed: 0.004 s
% 0.21/0.37 % (25026)Instructions burned: 3 (million)
% 0.21/0.37 % (25019)Success in time 0.02 s
%------------------------------------------------------------------------------