TSTP Solution File: SET123-6 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET123-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n014.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 18:19:26 EDT 2022
% Result : Unsatisfiable 0.16s 0.53s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 26 ( 15 unt; 0 def)
% Number of atoms : 42 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 20 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f261,plain,
$false,
inference(subsumption_resolution,[],[f260,f94]) ).
fof(f94,axiom,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_builder_alternate_defn1_2) ).
fof(f260,plain,
x = y,
inference(duplicate_literal_removal,[],[f258]) ).
fof(f258,plain,
( x = y
| x = y ),
inference(resolution,[],[f257,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X1 = X2
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f257,plain,
member(x,unordered_pair(y,y)),
inference(subsumption_resolution,[],[f256,f178]) ).
fof(f178,plain,
member(x,universal_class),
inference(resolution,[],[f162,f127]) ).
fof(f127,plain,
member(x,complement(intersection(complement(unordered_pair(y,y)),complement(z)))),
inference(definition_unfolding,[],[f93,f101]) ).
fof(f101,plain,
! [X0,X1] : set_builder(X0,X1) = complement(intersection(complement(unordered_pair(X0,X0)),complement(X1))),
inference(definition_unfolding,[],[f92,f26,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f92,axiom,
! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_set_builder) ).
fof(f93,axiom,
member(x,set_builder(y,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_builder_alternate_defn1_1) ).
fof(f162,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| member(X2,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f256,plain,
( ~ member(x,universal_class)
| member(x,unordered_pair(y,y)) ),
inference(resolution,[],[f255,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f255,plain,
~ member(x,complement(unordered_pair(y,y))),
inference(subsumption_resolution,[],[f254,f178]) ).
fof(f254,plain,
( ~ member(x,complement(unordered_pair(y,y)))
| ~ member(x,universal_class) ),
inference(subsumption_resolution,[],[f253,f95]) ).
fof(f95,axiom,
~ member(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_builder_alternate_defn1_3) ).
fof(f253,plain,
( member(x,z)
| ~ member(x,complement(unordered_pair(y,y)))
| ~ member(x,universal_class) ),
inference(resolution,[],[f247,f25]) ).
fof(f247,plain,
( ~ member(x,complement(z))
| ~ member(x,complement(unordered_pair(y,y))) ),
inference(resolution,[],[f23,f151]) ).
fof(f151,plain,
~ member(x,intersection(complement(unordered_pair(y,y)),complement(z))),
inference(resolution,[],[f24,f127]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X0)
| ~ member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET123-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 30 13:21:33 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.16/0.48 % (17047)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.16/0.48 % (17049)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)
% 0.16/0.49 % (17041)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)
% 0.16/0.49 % (17063)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.16/0.49 % (17057)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)
% 0.16/0.50 % (17064)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)
% 0.16/0.50 % (17047)Instruction limit reached!
% 0.16/0.50 % (17047)------------------------------
% 0.16/0.50 % (17047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (17047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (17047)Termination reason: Unknown
% 0.16/0.50 % (17047)Termination phase: Saturation
% 0.16/0.50
% 0.16/0.50 % (17047)Memory used [KB]: 6012
% 0.16/0.50 % (17047)Time elapsed: 0.006 s
% 0.16/0.50 % (17047)Instructions burned: 6 (million)
% 0.16/0.50 % (17047)------------------------------
% 0.16/0.50 % (17047)------------------------------
% 0.16/0.50 % (17055)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.16/0.51 % (17056)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)
% 0.16/0.51 % (17048)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)
% 0.16/0.51 % (17048)Instruction limit reached!
% 0.16/0.51 % (17048)------------------------------
% 0.16/0.51 % (17048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (17048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (17048)Termination reason: Unknown
% 0.16/0.51 % (17048)Termination phase: Function definition elimination
% 0.16/0.51
% 0.16/0.51 % (17048)Memory used [KB]: 1407
% 0.16/0.51 % (17048)Time elapsed: 0.004 s
% 0.16/0.51 % (17048)Instructions burned: 3 (million)
% 0.16/0.51 % (17048)------------------------------
% 0.16/0.51 % (17048)------------------------------
% 0.16/0.51 % (17055)Instruction limit reached!
% 0.16/0.51 % (17055)------------------------------
% 0.16/0.51 % (17055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (17055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (17055)Termination reason: Unknown
% 0.16/0.51 % (17055)Termination phase: Saturation
% 0.16/0.51
% 0.16/0.51 % (17055)Memory used [KB]: 1407
% 0.16/0.51 % (17055)Time elapsed: 0.008 s
% 0.16/0.51 % (17055)Instructions burned: 6 (million)
% 0.16/0.51 % (17055)------------------------------
% 0.16/0.51 % (17055)------------------------------
% 0.16/0.51 % (17041)First to succeed.
% 0.16/0.51 % (17064)Refutation not found, incomplete strategy% (17064)------------------------------
% 0.16/0.51 % (17064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (17064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (17064)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.51
% 0.16/0.51 % (17064)Memory used [KB]: 6012
% 0.16/0.51 % (17064)Time elapsed: 0.112 s
% 0.16/0.51 % (17064)Instructions burned: 4 (million)
% 0.16/0.51 % (17064)------------------------------
% 0.16/0.51 % (17064)------------------------------
% 0.16/0.51 % (17056)Refutation not found, incomplete strategy% (17056)------------------------------
% 0.16/0.51 % (17056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (17056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (17056)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.51
% 0.16/0.51 % (17056)Memory used [KB]: 5884
% 0.16/0.51 % (17056)Time elapsed: 0.112 s
% 0.16/0.51 % (17056)------------------------------
% 0.16/0.51 % (17056)------------------------------
% 0.16/0.52 % (17063)Instruction limit reached!
% 0.16/0.52 % (17063)------------------------------
% 0.16/0.52 % (17063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52 % (17063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52 % (17063)Termination reason: Unknown
% 0.16/0.52 % (17063)Termination phase: Saturation
% 0.16/0.52
% 0.16/0.52 % (17063)Memory used [KB]: 6268
% 0.16/0.52 % (17063)Time elapsed: 0.126 s
% 0.16/0.52 % (17063)Instructions burned: 20 (million)
% 0.16/0.52 % (17063)------------------------------
% 0.16/0.52 % (17063)------------------------------
% 0.16/0.53 % (17041)Refutation found. Thanks to Tanya!
% 0.16/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.53 % (17041)------------------------------
% 0.16/0.53 % (17041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53 % (17041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53 % (17041)Termination reason: Refutation
% 0.16/0.53
% 0.16/0.53 % (17041)Memory used [KB]: 1535
% 0.16/0.53 % (17041)Time elapsed: 0.115 s
% 0.16/0.53 % (17041)Instructions burned: 11 (million)
% 0.16/0.53 % (17041)------------------------------
% 0.16/0.53 % (17041)------------------------------
% 0.16/0.53 % (17034)Success in time 0.193 s
%------------------------------------------------------------------------------