TSTP Solution File: SET987+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET987+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 : n017.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 15:14:12 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 28 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 17 ~; 2 |; 4 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 16 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,plain,
$false,
inference(trivial_inequality_removal,[],[f50]) ).
fof(f50,plain,
sK1 != sK1,
inference(superposition,[],[f45,f46]) ).
fof(f46,plain,
sK1 = set_difference(sK1,singleton(sK0)),
inference(resolution,[],[f33,f25]) ).
fof(f25,plain,
~ in(sK0,sK1),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( sK1 != set_difference(set_union2(sK1,singleton(sK0)),singleton(sK0))
& ~ in(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f14,f19]) ).
fof(f19,plain,
( ? [X0,X1] :
( set_difference(set_union2(X1,singleton(X0)),singleton(X0)) != X1
& ~ in(X0,X1) )
=> ( sK1 != set_difference(set_union2(sK1,singleton(sK0)),singleton(sK0))
& ~ in(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
? [X0,X1] :
( set_difference(set_union2(X1,singleton(X0)),singleton(X0)) != X1
& ~ in(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0,X1] :
( ~ in(X0,X1)
=> set_difference(set_union2(X1,singleton(X0)),singleton(X0)) = X1 ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0,X1] :
( ~ in(X0,X1)
=> set_difference(set_union2(X1,singleton(X0)),singleton(X0)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t141_zfmisc_1) ).
fof(f33,plain,
! [X0,X1] :
( in(X1,X0)
| set_difference(X0,singleton(X1)) = X0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( set_difference(X0,singleton(X1)) = X0
| in(X1,X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ~ in(X1,X0)
=> set_difference(X0,singleton(X1)) = X0 ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( set_difference(X0,singleton(X1)) = X0
<=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_zfmisc_1) ).
fof(f45,plain,
sK1 != set_difference(sK1,singleton(sK0)),
inference(superposition,[],[f26,f29]) ).
fof(f29,plain,
! [X0,X1] : set_difference(set_union2(X0,X1),X1) = set_difference(X0,X1),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] : set_difference(set_union2(X0,X1),X1) = set_difference(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_xboole_1) ).
fof(f26,plain,
sK1 != set_difference(set_union2(sK1,singleton(sK0)),singleton(sK0)),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET987+1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n017.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 : Tue Apr 30 00:53:33 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (23715)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (23718)WARNING: value z3 for option sas not known
% 0.13/0.37 % (23719)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (23716)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (23718)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)
% 0.13/0.37 % (23721)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)
% 0.13/0.37 % (23722)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)
% 0.13/0.37 % (23720)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)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 % (23721)First to succeed.
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (23720)Also succeeded, but the first one will report.
% 0.13/0.37 % (23718)Also succeeded, but the first one will report.
% 0.13/0.37 TRYING [4]
% 0.13/0.37 % (23721)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (23721)------------------------------
% 0.13/0.37 % (23721)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.37 % (23721)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (23721)Memory used [KB]: 761
% 0.13/0.37 % (23721)Time elapsed: 0.003 s
% 0.13/0.37 % (23721)Instructions burned: 4 (million)
% 0.13/0.37 % (23721)------------------------------
% 0.13/0.37 % (23721)------------------------------
% 0.13/0.37 % (23715)Success in time 0.018 s
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