TSTP Solution File: SET014-4 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET014-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n027.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 18:18:21 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 27 ( 13 unt; 0 def)
% Number of atoms : 46 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 20 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f181,plain,
$false,
inference(subsumption_resolution,[],[f180,f105]) ).
fof(f105,plain,
member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(bs)),
inference(subsumption_resolution,[],[f104,f28]) ).
fof(f28,plain,
~ member(f17(complement(intersection(complement(as),complement(bs))),cs),cs),
inference(resolution,[],[f19,f15]) ).
fof(f15,axiom,
! [X0,X1] :
( subset(X0,X1)
| ~ member(f17(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset3) ).
fof(f19,plain,
~ subset(complement(intersection(complement(as),complement(bs))),cs),
inference(definition_unfolding,[],[f18,f10]) ).
fof(f10,axiom,
! [X0,X1] : union(X0,X1) = complement(intersection(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f18,axiom,
~ subset(union(as,bs),cs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_union_b_subset_of_c) ).
fof(f104,plain,
( member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(bs))
| member(f17(complement(intersection(complement(as),complement(bs))),cs),cs) ),
inference(resolution,[],[f39,f52]) ).
fof(f52,plain,
little_set(f17(complement(intersection(complement(as),complement(bs))),cs)),
inference(resolution,[],[f27,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( little_set(X0)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
fof(f27,plain,
member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(intersection(complement(as),complement(bs)))),
inference(resolution,[],[f19,f14]) ).
fof(f14,axiom,
! [X0,X1] :
( subset(X0,X1)
| member(f17(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset2) ).
fof(f39,plain,
! [X6] :
( ~ little_set(X6)
| member(X6,cs)
| member(X6,complement(bs)) ),
inference(resolution,[],[f26,f9]) ).
fof(f9,axiom,
! [X2,X0] :
( member(X2,X0)
| member(X2,complement(X0))
| ~ little_set(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f26,plain,
! [X0] :
( ~ member(X0,bs)
| member(X0,cs) ),
inference(resolution,[],[f17,f13]) ).
fof(f13,axiom,
! [X3,X0,X1] :
( member(X3,X1)
| ~ subset(X0,X1)
| ~ member(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset1) ).
fof(f17,axiom,
subset(bs,cs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_subset_of_c) ).
fof(f180,plain,
~ member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(bs)),
inference(subsumption_resolution,[],[f175,f97]) ).
fof(f97,plain,
member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(as)),
inference(subsumption_resolution,[],[f96,f28]) ).
fof(f96,plain,
( member(f17(complement(intersection(complement(as),complement(bs))),cs),cs)
| member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(as)) ),
inference(resolution,[],[f32,f52]) ).
fof(f32,plain,
! [X6] :
( ~ little_set(X6)
| member(X6,cs)
| member(X6,complement(as)) ),
inference(resolution,[],[f25,f9]) ).
fof(f25,plain,
! [X0] :
( ~ member(X0,as)
| member(X0,cs) ),
inference(resolution,[],[f16,f13]) ).
fof(f16,axiom,
subset(as,cs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_subset_of_c) ).
fof(f175,plain,
( ~ member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(as))
| ~ member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(bs)) ),
inference(resolution,[],[f47,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f47,plain,
~ member(f17(complement(intersection(complement(as),complement(bs))),cs),intersection(complement(as),complement(bs))),
inference(resolution,[],[f27,f8]) ).
fof(f8,axiom,
! [X2,X0] :
( ~ member(X2,complement(X0))
| ~ member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET014-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 13:07:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 % (6218)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.46 % (6218)Instruction limit reached!
% 0.19/0.46 % (6218)------------------------------
% 0.19/0.46 % (6218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (6209)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.46 % (6218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (6218)Termination reason: Unknown
% 0.19/0.46 % (6218)Termination phase: Saturation
% 0.19/0.46
% 0.19/0.46 % (6218)Memory used [KB]: 5884
% 0.19/0.46 % (6218)Time elapsed: 0.069 s
% 0.19/0.46 % (6218)Instructions burned: 4 (million)
% 0.19/0.46 % (6218)------------------------------
% 0.19/0.46 % (6218)------------------------------
% 0.19/0.47 % (6226)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.47 % (6226)Instruction limit reached!
% 0.19/0.47 % (6226)------------------------------
% 0.19/0.47 % (6226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (6226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (6226)Termination reason: Unknown
% 0.19/0.47 % (6226)Termination phase: Saturation
% 0.19/0.47
% 0.19/0.47 % (6226)Memory used [KB]: 5884
% 0.19/0.47 % (6226)Time elapsed: 0.089 s
% 0.19/0.47 % (6226)Instructions burned: 2 (million)
% 0.19/0.47 % (6226)------------------------------
% 0.19/0.47 % (6226)------------------------------
% 0.19/0.49 % (6233)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.49 % (6217)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 % (6225)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.50 % (6233)First to succeed.
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 TRYING [3]
% 0.19/0.50 % (6217)Refutation not found, incomplete strategy% (6217)------------------------------
% 0.19/0.50 % (6217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (6225)Instruction limit reached!
% 0.19/0.50 % (6225)------------------------------
% 0.19/0.50 % (6225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (6225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (6225)Termination reason: Unknown
% 0.19/0.50 % (6225)Termination phase: Finite model building SAT solving
% 0.19/0.50
% 0.19/0.50 % (6225)Memory used [KB]: 6012
% 0.19/0.50 % (6225)Time elapsed: 0.073 s
% 0.19/0.50 % (6225)Instructions burned: 7 (million)
% 0.19/0.50 % (6225)------------------------------
% 0.19/0.50 % (6225)------------------------------
% 0.19/0.50 % (6217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (6217)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (6217)Memory used [KB]: 5884
% 0.19/0.50 % (6217)Time elapsed: 0.079 s
% 0.19/0.50 % (6217)Instructions burned: 3 (million)
% 0.19/0.50 % (6217)------------------------------
% 0.19/0.50 % (6217)------------------------------
% 0.19/0.51 % (6233)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (6233)------------------------------
% 0.19/0.51 % (6233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (6233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (6233)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (6233)Memory used [KB]: 6012
% 0.19/0.51 % (6233)Time elapsed: 0.064 s
% 0.19/0.51 % (6233)Instructions burned: 8 (million)
% 0.19/0.51 % (6233)------------------------------
% 0.19/0.51 % (6233)------------------------------
% 0.19/0.51 % (6206)Success in time 0.16 s
%------------------------------------------------------------------------------