TSTP Solution File: SET639+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET639+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 : n008.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 15:09:00 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 37 ( 25 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 28 ( 10 ~; 2 |; 12 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 14 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f66,plain,
$false,
inference(trivial_inequality_removal,[],[f65]) ).
fof(f65,plain,
empty_set != empty_set,
inference(superposition,[],[f32,f60]) ).
fof(f60,plain,
empty_set = sK0,
inference(forward_demodulation,[],[f58,f54]) ).
fof(f54,plain,
empty_set = intersection(sK0,sK1),
inference(superposition,[],[f35,f31]) ).
fof(f31,plain,
empty_set = intersection(sK1,sK0),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( empty_set != sK0
& empty_set = intersection(sK1,sK0)
& subset(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f13,f16]) ).
fof(f16,plain,
( ? [X0,X1] :
( empty_set != X0
& empty_set = intersection(X1,X0)
& subset(X0,X1) )
=> ( empty_set != sK0
& empty_set = intersection(sK1,sK0)
& subset(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
? [X0,X1] :
( empty_set != X0
& empty_set = intersection(X1,X0)
& subset(X0,X1) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
? [X0,X1] :
( empty_set != X0
& empty_set = intersection(X1,X0)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,negated_conjecture,
~ ! [X0,X1] :
( ( empty_set = intersection(X1,X0)
& subset(X0,X1) )
=> empty_set = X0 ),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
! [X0,X1] :
( ( empty_set = intersection(X1,X0)
& subset(X0,X1) )
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th121) ).
fof(f35,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_intersection) ).
fof(f58,plain,
sK0 = intersection(sK0,sK1),
inference(resolution,[],[f36,f30]) ).
fof(f30,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f17]) ).
fof(f36,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| intersection(X0,X1) = X0 ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( intersection(X0,X1) = X0
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
=> intersection(X0,X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_intersection) ).
fof(f32,plain,
empty_set != sK0,
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET639+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n008.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 01:11:43 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (24123)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (24128)WARNING: value z3 for option sas not known
% 0.13/0.37 % (24127)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (24126)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (24128)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 % (24129)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (24130)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 % (24132)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 % (24131)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 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (24131)First to succeed.
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (24132)Also succeeded, but the first one will report.
% 0.13/0.38 TRYING [1]
% 0.13/0.38 % (24128)Also succeeded, but the first one will report.
% 0.13/0.38 % (24131)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (24131)------------------------------
% 0.13/0.38 % (24131)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38 % (24131)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (24131)Memory used [KB]: 771
% 0.13/0.38 % (24131)Time elapsed: 0.004 s
% 0.13/0.38 % (24131)Instructions burned: 4 (million)
% 0.13/0.38 % (24131)------------------------------
% 0.13/0.38 % (24131)------------------------------
% 0.13/0.38 % (24123)Success in time 0.021 s
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