TSTP Solution File: TOP005-2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : TOP005-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.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 18:25:14 EDT 2024
% Result : Unsatisfiable 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 25 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f234,plain,
$false,
inference(subsumption_resolution,[],[f233,f36]) ).
fof(f36,plain,
element_of_set(f11(f,union_of_members(g)),f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g)))),
inference(resolution,[],[f33,f15]) ).
fof(f15,plain,
element_of_set(f11(f,union_of_members(g)),f1(g,f11(f,union_of_members(g)))),
inference(resolution,[],[f13,f1]) ).
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(f13,plain,
element_of_set(f11(f,union_of_members(g)),union_of_members(g)),
inference(resolution,[],[f6,f12]) ).
fof(f12,axiom,
~ element_of_collection(union_of_members(g),top_of_basis(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1e_3) ).
fof(f6,axiom,
! [X0,X1] :
( element_of_collection(X0,top_of_basis(X1))
| element_of_set(f11(X1,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',topology_generated_40) ).
fof(f33,plain,
! [X0] :
( ~ element_of_set(X0,f1(g,f11(f,union_of_members(g))))
| element_of_set(X0,f10(f,f1(g,f11(f,union_of_members(g))),X0)) ),
inference(resolution,[],[f3,f19]) ).
fof(f19,plain,
element_of_collection(f1(g,f11(f,union_of_members(g))),top_of_basis(f)),
inference(resolution,[],[f18,f14]) ).
fof(f14,plain,
element_of_collection(f1(g,f11(f,union_of_members(g))),g),
inference(resolution,[],[f13,f2]) ).
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(f18,plain,
! [X0] :
( ~ element_of_collection(X0,g)
| element_of_collection(X0,top_of_basis(f)) ),
inference(resolution,[],[f10,f11]) ).
fof(f11,axiom,
subset_collections(g,top_of_basis(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1e_2) ).
fof(f10,axiom,
! [X2,X0,X4] :
( ~ subset_collections(X2,X4)
| ~ element_of_collection(X0,X2)
| element_of_collection(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_21) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ element_of_collection(X0,top_of_basis(X1))
| ~ element_of_set(X2,X0)
| element_of_set(X2,f10(X1,X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',topology_generated_37) ).
fof(f233,plain,
~ element_of_set(f11(f,union_of_members(g)),f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g)))),
inference(subsumption_resolution,[],[f230,f12]) ).
fof(f230,plain,
( element_of_collection(union_of_members(g),top_of_basis(f))
| ~ element_of_set(f11(f,union_of_members(g)),f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g)))) ),
inference(resolution,[],[f75,f38]) ).
fof(f38,plain,
element_of_collection(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),f),
inference(resolution,[],[f35,f15]) ).
fof(f35,plain,
! [X0] :
( ~ element_of_set(X0,f1(g,f11(f,union_of_members(g))))
| element_of_collection(f10(f,f1(g,f11(f,union_of_members(g))),X0),f) ),
inference(resolution,[],[f4,f19]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ element_of_collection(X0,top_of_basis(X1))
| ~ element_of_set(X2,X0)
| element_of_collection(f10(X1,X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',topology_generated_38) ).
fof(f75,plain,
! [X0] :
( ~ element_of_collection(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),X0)
| element_of_collection(union_of_members(g),top_of_basis(X0))
| ~ element_of_set(f11(X0,union_of_members(g)),f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g)))) ),
inference(resolution,[],[f7,f50]) ).
fof(f50,plain,
subset_sets(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),union_of_members(g)),
inference(resolution,[],[f49,f14]) ).
fof(f49,plain,
! [X0] :
( ~ element_of_collection(f1(g,f11(f,union_of_members(g))),X0)
| subset_sets(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),union_of_members(X0)) ),
inference(resolution,[],[f48,f9]) ).
fof(f9,axiom,
! [X2,X4,X5] :
( ~ subset_sets(X2,X4)
| ~ element_of_collection(X4,X5)
| subset_sets(X2,union_of_members(X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_theory_20) ).
fof(f48,plain,
subset_sets(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),f1(g,f11(f,union_of_members(g)))),
inference(resolution,[],[f47,f15]) ).
fof(f47,plain,
! [X0] :
( ~ element_of_set(X0,f1(g,f11(f,union_of_members(g))))
| subset_sets(f10(f,f1(g,f11(f,union_of_members(g))),X0),f1(g,f11(f,union_of_members(g)))) ),
inference(resolution,[],[f5,f19]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ element_of_collection(X0,top_of_basis(X1))
| ~ element_of_set(X2,X0)
| subset_sets(f10(X1,X0,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',topology_generated_39) ).
fof(f7,axiom,
! [X3,X0,X1] :
( ~ subset_sets(X3,X0)
| ~ element_of_collection(X3,X1)
| element_of_collection(X0,top_of_basis(X1))
| ~ element_of_set(f11(X1,X0),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',topology_generated_41) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : TOP005-2 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n031.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 : Tue Apr 30 02:36:43 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (24683)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (24685)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (24687)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38 % (24684)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % (24686)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)
% 0.22/0.38 % (24688)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (24689)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (24690)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)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [1,1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [1,1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [2,1]
% 0.22/0.38 TRYING [2,1]
% 0.22/0.38 TRYING [3,1]
% 0.22/0.38 TRYING [3,1]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [3]
% 0.22/0.38 TRYING [2,2]
% 0.22/0.38 TRYING [2,2]
% 0.22/0.38 TRYING [3,2]
% 0.22/0.38 TRYING [3,2]
% 0.22/0.38 % (24688)First to succeed.
% 0.22/0.38 TRYING [4]
% 0.22/0.39 TRYING [4]
% 0.22/0.39 % (24688)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39 % (24688)------------------------------
% 0.22/0.39 % (24688)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.39 % (24688)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (24688)Memory used [KB]: 858
% 0.22/0.39 % (24688)Time elapsed: 0.011 s
% 0.22/0.39 % (24688)Instructions burned: 17 (million)
% 0.22/0.39 % (24688)------------------------------
% 0.22/0.39 % (24688)------------------------------
% 0.22/0.39 % (24683)Success in time 0.027 s
%------------------------------------------------------------------------------