TSTP Solution File: NUM142-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM142-1 : 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 : n026.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 17:57:10 EDT 2022
% Result : Unsatisfiable 0.16s 0.54s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 22 ( 14 unt; 0 def)
% Number of atoms : 32 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 17 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f379,plain,
$false,
inference(subsumption_resolution,[],[f300,f374]) ).
fof(f374,plain,
! [X0] : ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),X0),
inference(subsumption_resolution,[],[f367,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f367,plain,
! [X0] :
( ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),X0)
| ~ subclass(X0,universal_class) ),
inference(resolution,[],[f366,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ subclass(X0,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f366,plain,
~ member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),universal_class),
inference(subsumption_resolution,[],[f312,f360]) ).
fof(f360,plain,
! [X1] : ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),intersection(complement(x),X1)),
inference(resolution,[],[f306,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f306,plain,
~ member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),complement(x)),
inference(resolution,[],[f300,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,X0)
| ~ member(X4,complement(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f312,plain,
( ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),universal_class)
| member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),intersection(complement(x),complement(unordered_pair(x,x)))) ),
inference(resolution,[],[f299,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f299,plain,
~ member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),complement(intersection(complement(x),complement(unordered_pair(x,x))))),
inference(resolution,[],[f236,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f236,plain,
~ subclass(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),
inference(definition_unfolding,[],[f159,f165]) ).
fof(f165,plain,
! [X0] : successor(X0) = complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),
inference(definition_unfolding,[],[f43,f26,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f43,axiom,
! [X0] : union(X0,singleton(X0)) = successor(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor) ).
fof(f159,axiom,
~ subclass(x,successor(x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_successor_of_set_is_set3_1) ).
fof(f300,plain,
member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),x),
inference(resolution,[],[f236,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : NUM142-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.09/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.34 % Computer : n026.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8042.1875MB
% 0.10/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Tue Aug 30 06:17:50 EDT 2022
% 0.10/0.35 % CPUTime :
% 0.16/0.46 % (6064)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)
% 0.16/0.46 % (6072)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)
% 0.16/0.49 % (6064)Instruction limit reached!
% 0.16/0.49 % (6064)------------------------------
% 0.16/0.49 % (6064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (6064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (6064)Termination reason: Unknown
% 0.16/0.51 % (6064)Termination phase: Saturation
% 0.16/0.51
% 0.16/0.51 % (6064)Memory used [KB]: 1791
% 0.16/0.51 % (6064)Time elapsed: 0.072 s
% 0.16/0.51 % (6064)Instructions burned: 29 (million)
% 0.16/0.51 % (6064)------------------------------
% 0.16/0.51 % (6064)------------------------------
% 0.16/0.51 % (6065)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)
% 0.16/0.51 % (6058)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)
% 0.16/0.51 % (6058)Instruction limit reached!
% 0.16/0.51 % (6058)------------------------------
% 0.16/0.51 % (6058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (6058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (6058)Termination reason: Unknown
% 0.16/0.51 % (6058)Termination phase: Property scanning
% 0.16/0.51
% 0.16/0.51 % (6058)Memory used [KB]: 1535
% 0.16/0.51 % (6058)Time elapsed: 0.004 s
% 0.16/0.51 % (6058)Instructions burned: 5 (million)
% 0.16/0.51 % (6058)------------------------------
% 0.16/0.51 % (6058)------------------------------
% 0.16/0.51 % (6057)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)
% 0.16/0.51 % (6057)Refutation not found, incomplete strategy% (6057)------------------------------
% 0.16/0.51 % (6057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (6057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (6057)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.51
% 0.16/0.51 % (6057)Memory used [KB]: 6012
% 0.16/0.51 % (6057)Time elapsed: 0.095 s
% 0.16/0.51 % (6057)Instructions burned: 2 (million)
% 0.16/0.51 % (6057)------------------------------
% 0.16/0.51 % (6057)------------------------------
% 0.16/0.52 % (6073)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)
% 0.16/0.52 % (6066)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)
% 0.16/0.52 % (6066)Instruction limit reached!
% 0.16/0.52 % (6066)------------------------------
% 0.16/0.52 % (6066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52 % (6066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52 % (6066)Termination reason: Unknown
% 0.16/0.52 % (6066)Termination phase: Function definition elimination
% 0.16/0.52
% 0.16/0.52 % (6066)Memory used [KB]: 1407
% 0.16/0.52 % (6066)Time elapsed: 0.004 s
% 0.16/0.52 % (6066)Instructions burned: 2 (million)
% 0.16/0.52 % (6066)------------------------------
% 0.16/0.52 % (6066)------------------------------
% 0.16/0.52 % (6065)Instruction limit reached!
% 0.16/0.52 % (6065)------------------------------
% 0.16/0.52 % (6065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52 % (6065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52 % (6065)Termination reason: Unknown
% 0.16/0.52 % (6065)Termination phase: Finite model building preprocessing
% 0.16/0.52
% 0.16/0.52 % (6065)Memory used [KB]: 1535
% 0.16/0.52 % (6065)Time elapsed: 0.006 s
% 0.16/0.52 % (6065)Instructions burned: 6 (million)
% 0.16/0.52 % (6065)------------------------------
% 0.16/0.52 % (6065)------------------------------
% 0.16/0.53 % (6074)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.16/0.53 % (6074)Refutation not found, incomplete strategy% (6074)------------------------------
% 0.16/0.53 % (6074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53 % (6074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53 % (6074)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.53
% 0.16/0.53 % (6074)Memory used [KB]: 6140
% 0.16/0.53 % (6074)Time elapsed: 0.124 s
% 0.16/0.53 % (6074)Instructions burned: 10 (million)
% 0.16/0.53 % (6074)------------------------------
% 0.16/0.53 % (6074)------------------------------
% 0.16/0.53 % (6073)First to succeed.
% 0.16/0.53 % (6054)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.16/0.53 % (6053)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.16/0.54 % (6055)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.16/0.54 % (6073)Refutation found. Thanks to Tanya!
% 0.16/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.54 % (6073)------------------------------
% 0.16/0.54 % (6073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54 % (6073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54 % (6073)Termination reason: Refutation
% 0.16/0.54
% 0.16/0.54 % (6073)Memory used [KB]: 6268
% 0.16/0.54 % (6073)Time elapsed: 0.122 s
% 0.16/0.54 % (6073)Instructions burned: 15 (million)
% 0.16/0.54 % (6073)------------------------------
% 0.16/0.54 % (6073)------------------------------
% 0.16/0.54 % (6049)Success in time 0.179 s
%------------------------------------------------------------------------------