TSTP Solution File: SET968+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET968+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 : n015.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 09:19:50 EDT 2024
% Result : Theorem 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 17 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 10 ~; 0 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 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(f400,plain,
$false,
inference(subsumption_resolution,[],[f399,f27]) ).
fof(f27,plain,
! [X2,X0,X1] : cartesian_product2(set_union2(X0,X1),X2) = set_union2(cartesian_product2(X0,X2),cartesian_product2(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( cartesian_product2(X2,set_union2(X0,X1)) = set_union2(cartesian_product2(X2,X0),cartesian_product2(X2,X1))
& cartesian_product2(set_union2(X0,X1),X2) = set_union2(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t120_zfmisc_1) ).
fof(f399,plain,
cartesian_product2(set_union2(sK0,sK1),set_union2(sK2,sK3)) != set_union2(cartesian_product2(sK0,set_union2(sK2,sK3)),cartesian_product2(sK1,set_union2(sK2,sK3))),
inference(forward_demodulation,[],[f356,f28]) ).
fof(f28,plain,
! [X2,X0,X1] : cartesian_product2(X2,set_union2(X0,X1)) = set_union2(cartesian_product2(X2,X0),cartesian_product2(X2,X1)),
inference(cnf_transformation,[],[f7]) ).
fof(f356,plain,
cartesian_product2(set_union2(sK0,sK1),set_union2(sK2,sK3)) != set_union2(cartesian_product2(sK0,set_union2(sK2,sK3)),set_union2(cartesian_product2(sK1,sK2),cartesian_product2(sK1,sK3))),
inference(superposition,[],[f293,f38]) ).
fof(f38,plain,
! [X2,X0,X1] : set_union2(X0,set_union2(X1,X2)) = set_union2(set_union2(X1,X0),X2),
inference(superposition,[],[f26,f23]) ).
fof(f23,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f26,plain,
! [X2,X0,X1] : set_union2(set_union2(X0,X1),X2) = set_union2(X0,set_union2(X1,X2)),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1,X2] : set_union2(set_union2(X0,X1),X2) = set_union2(X0,set_union2(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_xboole_1) ).
fof(f293,plain,
cartesian_product2(set_union2(sK0,sK1),set_union2(sK2,sK3)) != set_union2(set_union2(cartesian_product2(sK1,sK2),cartesian_product2(sK0,set_union2(sK2,sK3))),cartesian_product2(sK1,sK3)),
inference(forward_demodulation,[],[f292,f28]) ).
fof(f292,plain,
cartesian_product2(set_union2(sK0,sK1),set_union2(sK2,sK3)) != set_union2(set_union2(cartesian_product2(sK1,sK2),set_union2(cartesian_product2(sK0,sK2),cartesian_product2(sK0,sK3))),cartesian_product2(sK1,sK3)),
inference(forward_demodulation,[],[f21,f23]) ).
fof(f21,plain,
cartesian_product2(set_union2(sK0,sK1),set_union2(sK2,sK3)) != set_union2(set_union2(set_union2(cartesian_product2(sK0,sK2),cartesian_product2(sK0,sK3)),cartesian_product2(sK1,sK2)),cartesian_product2(sK1,sK3)),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
cartesian_product2(set_union2(sK0,sK1),set_union2(sK2,sK3)) != set_union2(set_union2(set_union2(cartesian_product2(sK0,sK2),cartesian_product2(sK0,sK3)),cartesian_product2(sK1,sK2)),cartesian_product2(sK1,sK3)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f12,f15]) ).
fof(f15,plain,
( ? [X0,X1,X2,X3] : cartesian_product2(set_union2(X0,X1),set_union2(X2,X3)) != set_union2(set_union2(set_union2(cartesian_product2(X0,X2),cartesian_product2(X0,X3)),cartesian_product2(X1,X2)),cartesian_product2(X1,X3))
=> cartesian_product2(set_union2(sK0,sK1),set_union2(sK2,sK3)) != set_union2(set_union2(set_union2(cartesian_product2(sK0,sK2),cartesian_product2(sK0,sK3)),cartesian_product2(sK1,sK2)),cartesian_product2(sK1,sK3)) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
? [X0,X1,X2,X3] : cartesian_product2(set_union2(X0,X1),set_union2(X2,X3)) != set_union2(set_union2(set_union2(cartesian_product2(X0,X2),cartesian_product2(X0,X3)),cartesian_product2(X1,X2)),cartesian_product2(X1,X3)),
inference(ennf_transformation,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0,X1,X2,X3] : cartesian_product2(set_union2(X0,X1),set_union2(X2,X3)) = set_union2(set_union2(set_union2(cartesian_product2(X0,X2),cartesian_product2(X0,X3)),cartesian_product2(X1,X2)),cartesian_product2(X1,X3)),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0,X1,X2,X3] : cartesian_product2(set_union2(X0,X1),set_union2(X2,X3)) = set_union2(set_union2(set_union2(cartesian_product2(X0,X2),cartesian_product2(X0,X3)),cartesian_product2(X1,X2)),cartesian_product2(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t121_zfmisc_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET968+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
% 0.14/0.35 % Computer : n015.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 16:57:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (31014)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.37 % (31020)WARNING: value z3 for option sas not known
% 0.22/0.37 % (31022)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)
% 0.22/0.37 % (31023)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)
% 0.22/0.37 % (31019)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (31021)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (31024)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)
% 0.22/0.38 % (31020)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)
% 0.22/0.38 % (31018)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [2]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 % (31020)First to succeed.
% 0.22/0.39 TRYING [3]
% 0.22/0.39 % (31020)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31014"
% 0.22/0.39 % (31020)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Theorem for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39 % (31020)------------------------------
% 0.22/0.39 % (31020)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.39 % (31020)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (31020)Memory used [KB]: 867
% 0.22/0.39 % (31020)Time elapsed: 0.016 s
% 0.22/0.39 % (31020)Instructions burned: 23 (million)
% 0.22/0.39 % (31014)Success in time 0.032 s
%------------------------------------------------------------------------------