TSTP Solution File: TOP005-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : TOP005-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n024.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 : Wed Aug 31 19:52:29 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 22 ( 12 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,plain,
$false,
inference(subsumption_resolution,[],[f42,f31]) ).
fof(f31,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(unit_resulting_resolution,[],[f24,f20,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( subset_sets(f10(X1,X0,X2),X0)
| ~ element_of_collection(X0,top_of_basis(X1))
| ~ element_of_set(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_39) ).
fof(f20,plain,
element_of_set(f11(f,union_of_members(g)),f1(g,f11(f,union_of_members(g)))),
inference(unit_resulting_resolution,[],[f16,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( element_of_set(X0,f1(X1,X0))
| ~ element_of_set(X0,union_of_members(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_1) ).
fof(f16,plain,
element_of_set(f11(f,union_of_members(g)),union_of_members(g)),
inference(resolution,[],[f12,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( element_of_collection(X0,top_of_basis(X1))
| element_of_set(f11(X1,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_40) ).
fof(f12,axiom,
~ element_of_collection(union_of_members(g),top_of_basis(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1e_3) ).
fof(f24,plain,
element_of_collection(f1(g,f11(f,union_of_members(g))),top_of_basis(f)),
inference(unit_resulting_resolution,[],[f21,f13]) ).
fof(f13,plain,
! [X0] :
( element_of_collection(X0,top_of_basis(f))
| ~ element_of_collection(X0,g) ),
inference(resolution,[],[f11,f10]) ).
fof(f10,axiom,
! [X2,X0,X4] :
( ~ subset_collections(X2,X4)
| ~ element_of_collection(X0,X2)
| element_of_collection(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_theory_21) ).
fof(f11,axiom,
subset_collections(g,top_of_basis(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1e_2) ).
fof(f21,plain,
element_of_collection(f1(g,f11(f,union_of_members(g))),g),
inference(unit_resulting_resolution,[],[f16,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( element_of_collection(f1(X1,X0),X1)
| ~ element_of_set(X0,union_of_members(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_of_members_2) ).
fof(f42,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(unit_resulting_resolution,[],[f21,f40,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/sandbox2/benchmark/theBenchmark.p',set_theory_20) ).
fof(f40,plain,
~ subset_sets(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),union_of_members(g)),
inference(unit_resulting_resolution,[],[f12,f30,f29,f7]) ).
fof(f7,axiom,
! [X3,X0,X1] :
( ~ subset_sets(X3,X0)
| ~ element_of_set(f11(X1,X0),X3)
| element_of_collection(X0,top_of_basis(X1))
| ~ element_of_collection(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_41) ).
fof(f29,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(unit_resulting_resolution,[],[f24,f20,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ element_of_collection(X0,top_of_basis(X1))
| element_of_set(X2,f10(X1,X0,X2))
| ~ element_of_set(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_37) ).
fof(f30,plain,
element_of_collection(f10(f,f1(g,f11(f,union_of_members(g))),f11(f,union_of_members(g))),f),
inference(unit_resulting_resolution,[],[f24,f20,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( element_of_collection(f10(X1,X0,X2),X1)
| ~ element_of_collection(X0,top_of_basis(X1))
| ~ element_of_set(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',topology_generated_38) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : TOP005-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 14:34:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (9927)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49 % (9943)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49 % (9936)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.49 % (9927)Instruction limit reached!
% 0.19/0.49 % (9927)------------------------------
% 0.19/0.49 % (9927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (9928)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.50 % (9936)First to succeed.
% 0.19/0.50 % (9935)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.50 % (9927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (9927)Termination reason: Unknown
% 0.19/0.50 % (9927)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (9927)Memory used [KB]: 5884
% 0.19/0.50 % (9927)Time elapsed: 0.097 s
% 0.19/0.50 % (9927)Instructions burned: 4 (million)
% 0.19/0.50 % (9927)------------------------------
% 0.19/0.50 % (9927)------------------------------
% 0.19/0.50 % (9943)Refutation not found, incomplete strategy% (9943)------------------------------
% 0.19/0.50 % (9943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (9935)Refutation not found, incomplete strategy% (9935)------------------------------
% 0.19/0.50 % (9935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (9943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (9943)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (9943)Memory used [KB]: 5756
% 0.19/0.50 % (9943)Time elapsed: 0.105 s
% 0.19/0.50 % (9943)Instructions burned: 2 (million)
% 0.19/0.50 % (9943)------------------------------
% 0.19/0.50 % (9943)------------------------------
% 0.19/0.50 % (9920)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.50 % (9935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (9935)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (9935)Memory used [KB]: 5756
% 0.19/0.50 % (9935)Time elapsed: 0.106 s
% 0.19/0.50 % (9935)Instructions burned: 1 (million)
% 0.19/0.50 % (9935)------------------------------
% 0.19/0.50 % (9935)------------------------------
% 0.19/0.50 % (9936)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (9936)------------------------------
% 0.19/0.50 % (9936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (9936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (9936)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (9936)Memory used [KB]: 5884
% 0.19/0.50 % (9936)Time elapsed: 0.057 s
% 0.19/0.50 % (9936)Instructions burned: 3 (million)
% 0.19/0.50 % (9936)------------------------------
% 0.19/0.50 % (9936)------------------------------
% 0.19/0.50 % (9913)Success in time 0.157 s
%------------------------------------------------------------------------------