TSTP Solution File: TOP001-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : TOP001-2 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 May 21 09:18:52 EDT 2024
% Result : Unsatisfiable 0.16s 0.39s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 27 ( 13 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 18 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f119,plain,
$false,
inference(subsumption_resolution,[],[f117,f13]) ).
fof(f13,axiom,
~ subset_sets(union_of_members(top_of_basis(f)),cx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1a_2) ).
fof(f117,plain,
subset_sets(union_of_members(top_of_basis(f)),cx),
inference(resolution,[],[f113,f11]) ).
fof(f11,axiom,
! [X3,X4] :
( ~ element_of_set(in_1st_set(X3,X4),X4)
| subset_sets(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_5) ).
fof(f113,plain,
element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),cx),
inference(resolution,[],[f109,f21]) ).
fof(f21,plain,
! [X0] :
( ~ element_of_set(X0,union_of_members(f))
| element_of_set(X0,cx) ),
inference(resolution,[],[f8,f15]) ).
fof(f15,plain,
subset_sets(union_of_members(f),cx),
inference(resolution,[],[f14,f9]) ).
fof(f9,axiom,
! [X3,X4] :
( ~ equal_sets(X3,X4)
| subset_sets(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_3) ).
fof(f14,plain,
equal_sets(union_of_members(f),cx),
inference(resolution,[],[f4,f12]) ).
fof(f12,axiom,
basis(cx,f),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1a_1) ).
fof(f4,axiom,
! [X3,X1] :
( ~ basis(X3,X1)
| equal_sets(union_of_members(X1),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',basis_for_topology_28) ).
fof(f8,axiom,
! [X3,X0,X4] :
( ~ subset_sets(X3,X4)
| ~ element_of_set(X0,X3)
| element_of_set(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_2) ).
fof(f109,plain,
element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(f)),
inference(resolution,[],[f108,f59]) ).
fof(f59,plain,
element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),f10(f,f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)),in_1st_set(union_of_members(top_of_basis(f)),cx))),
inference(resolution,[],[f33,f17]) ).
fof(f17,plain,
element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx))),
inference(resolution,[],[f1,f16]) ).
fof(f16,plain,
element_of_set(in_1st_set(union_of_members(top_of_basis(f)),cx),union_of_members(top_of_basis(f))),
inference(resolution,[],[f10,f13]) ).
fof(f10,axiom,
! [X3,X4] :
( subset_sets(X3,X4)
| element_of_set(in_1st_set(X3,X4),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_4) ).
fof(f1,axiom,
! [X0,X1] :
( ~ element_of_set(X0,union_of_members(X1))
| element_of_set(X0,f1(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_of_members_1) ).
fof(f33,plain,
! [X0] :
( ~ element_of_set(X0,f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)))
| element_of_set(X0,f10(f,f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)),X0)) ),
inference(resolution,[],[f5,f18]) ).
fof(f18,plain,
element_of_collection(f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)),top_of_basis(f)),
inference(resolution,[],[f2,f16]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ element_of_set(X0,union_of_members(X1))
| element_of_collection(f1(X1,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_of_members_2) ).
fof(f5,axiom,
! [X3,X0,X1] :
( ~ element_of_collection(X0,top_of_basis(X1))
| ~ element_of_set(X3,X0)
| element_of_set(X3,f10(X1,X0,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',topology_generated_37) ).
fof(f108,plain,
! [X0] :
( ~ element_of_set(X0,f10(f,f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)),in_1st_set(union_of_members(top_of_basis(f)),cx)))
| element_of_set(X0,union_of_members(f)) ),
inference(resolution,[],[f103,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ element_of_collection(X2,X1)
| ~ element_of_set(X0,X2)
| element_of_set(X0,union_of_members(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union_of_members_3) ).
fof(f103,plain,
element_of_collection(f10(f,f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)),in_1st_set(union_of_members(top_of_basis(f)),cx)),f),
inference(resolution,[],[f99,f17]) ).
fof(f99,plain,
! [X0] :
( ~ element_of_set(X0,f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)))
| element_of_collection(f10(f,f1(top_of_basis(f),in_1st_set(union_of_members(top_of_basis(f)),cx)),X0),f) ),
inference(resolution,[],[f6,f18]) ).
fof(f6,axiom,
! [X3,X0,X1] :
( ~ element_of_collection(X0,top_of_basis(X1))
| ~ element_of_set(X3,X0)
| element_of_collection(f10(X1,X0,X3),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',topology_generated_38) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : TOP001-2 : TPTP v8.2.0. Released v1.0.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n013.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sat May 18 11:26:53 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (3523)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (3524)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.38 % (3525)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38 % (3526)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.16/0.38 % (3527)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.38 % (3528)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.38 % (3529)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.38 % (3530)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 TRYING [1,1]
% 0.16/0.38 TRYING [1]
% 0.16/0.39 TRYING [1,1]
% 0.16/0.39 TRYING [2,1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [2,1]
% 0.16/0.39 TRYING [3]
% 0.16/0.39 TRYING [3,1]
% 0.16/0.39 TRYING [3,1]
% 0.16/0.39 TRYING [3]
% 0.16/0.39 % (3528)First to succeed.
% 0.16/0.39 % (3528)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3523"
% 0.16/0.39 % (3529)Also succeeded, but the first one will report.
% 0.16/0.39 TRYING [2,2]
% 0.16/0.39 TRYING [2,2]
% 0.16/0.39 % (3528)Refutation found. Thanks to Tanya!
% 0.16/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.39 % (3528)------------------------------
% 0.16/0.39 % (3528)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.39 % (3528)Termination reason: Refutation
% 0.16/0.39
% 0.16/0.39 % (3528)Memory used [KB]: 763
% 0.16/0.39 % (3528)Time elapsed: 0.005 s
% 0.16/0.39 % (3528)Instructions burned: 7 (million)
% 0.16/0.39 % (3523)Success in time 0.022 s
%------------------------------------------------------------------------------