TSTP Solution File: SET015-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET015-1 : 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 : n009.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 18:18:22 EDT 2022
% Result : Unsatisfiable 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 4 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 49 ( 19 ~; 28 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f104,plain,
$false,
inference(avatar_sat_refutation,[],[f39,f75,f103]) ).
fof(f103,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f102]) ).
fof(f102,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f101,f80]) ).
fof(f80,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),as)
| spl0_2 ),
inference(resolution,[],[f76,f8]) ).
fof(f8,axiom,
! [X0,X4,X5] :
( ~ member(X0,X5)
| member(X0,union(X4,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_set2_is_member_of_union) ).
fof(f76,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(bs,as))
| spl0_2 ),
inference(resolution,[],[f38,f4]) ).
fof(f4,axiom,
! [X2,X3] :
( ~ member(member_of_1_not_of_2(X2,X3),X3)
| subset(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom2) ).
fof(f38,plain,
( ~ subset(union(as,bs),union(bs,as))
| spl0_2 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl0_2
<=> subset(union(as,bs),union(bs,as)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f101,plain,
( member(member_of_1_not_of_2(union(as,bs),union(bs,as)),as)
| spl0_2 ),
inference(subsumption_resolution,[],[f94,f81]) ).
fof(f81,plain,
( ~ member(member_of_1_not_of_2(union(as,bs),union(bs,as)),bs)
| spl0_2 ),
inference(resolution,[],[f76,f7]) ).
fof(f7,axiom,
! [X0,X4,X5] :
( member(X0,union(X4,X5))
| ~ member(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_set1_is_member_of_union) ).
fof(f94,plain,
( member(member_of_1_not_of_2(union(as,bs),union(bs,as)),bs)
| member(member_of_1_not_of_2(union(as,bs),union(bs,as)),as)
| spl0_2 ),
inference(resolution,[],[f77,f9]) ).
fof(f9,axiom,
! [X0,X4,X5] :
( member(X0,X4)
| ~ member(X0,union(X4,X5))
| member(X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_union_is_member_of_one_set) ).
fof(f77,plain,
( member(member_of_1_not_of_2(union(as,bs),union(bs,as)),union(as,bs))
| spl0_2 ),
inference(resolution,[],[f38,f3]) ).
fof(f3,axiom,
! [X2,X3] :
( subset(X2,X3)
| member(member_of_1_not_of_2(X2,X3),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom1) ).
fof(f75,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f74]) ).
fof(f74,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f73,f52]) ).
fof(f52,plain,
( ~ member(member_of_1_not_of_2(union(bs,as),union(as,bs)),bs)
| spl0_1 ),
inference(resolution,[],[f40,f8]) ).
fof(f40,plain,
( ~ member(member_of_1_not_of_2(union(bs,as),union(as,bs)),union(as,bs))
| spl0_1 ),
inference(resolution,[],[f35,f4]) ).
fof(f35,plain,
( ~ subset(union(bs,as),union(as,bs))
| spl0_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl0_1
<=> subset(union(bs,as),union(as,bs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f73,plain,
( member(member_of_1_not_of_2(union(bs,as),union(as,bs)),bs)
| spl0_1 ),
inference(subsumption_resolution,[],[f66,f53]) ).
fof(f53,plain,
( ~ member(member_of_1_not_of_2(union(bs,as),union(as,bs)),as)
| spl0_1 ),
inference(resolution,[],[f40,f7]) ).
fof(f66,plain,
( member(member_of_1_not_of_2(union(bs,as),union(as,bs)),as)
| member(member_of_1_not_of_2(union(bs,as),union(as,bs)),bs)
| spl0_1 ),
inference(resolution,[],[f41,f9]) ).
fof(f41,plain,
( member(member_of_1_not_of_2(union(bs,as),union(as,bs)),union(bs,as))
| spl0_1 ),
inference(resolution,[],[f35,f3]) ).
fof(f39,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f23,f37,f34]) ).
fof(f23,plain,
( ~ subset(union(as,bs),union(bs,as))
| ~ subset(union(bs,as),union(as,bs)) ),
inference(resolution,[],[f22,f15]) ).
fof(f15,axiom,
! [X6,X7] :
( equal_sets(X7,X6)
| ~ subset(X7,X6)
| ~ subset(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_are_set_equal_sets) ).
fof(f22,axiom,
~ equal_sets(union(as,bs),union(bs,as)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET015-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 12:50:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.54 % (18396)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)
% 0.19/0.54 % (18395)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)
% 0.19/0.54 % (18412)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)
% 0.19/0.54 % (18411)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)
% 0.19/0.54 % (18404)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)
% 0.19/0.54 % (18396)Refutation not found, incomplete strategy% (18396)------------------------------
% 0.19/0.54 % (18396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (18412)First to succeed.
% 0.19/0.55 % (18396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (18396)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (18396)Memory used [KB]: 5884
% 0.19/0.55 % (18396)Time elapsed: 0.120 s
% 0.19/0.55 % (18396)Instructions burned: 1 (million)
% 0.19/0.55 % (18396)------------------------------
% 0.19/0.55 % (18396)------------------------------
% 0.19/0.55 TRYING [1]
% 0.19/0.55 TRYING [2]
% 0.19/0.55 TRYING [3]
% 0.19/0.55 % (18404)Instruction limit reached!
% 0.19/0.55 % (18404)------------------------------
% 0.19/0.55 % (18404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (18404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (18404)Termination reason: Unknown
% 0.19/0.55 % (18404)Termination phase: Finite model building SAT solving
% 0.19/0.55
% 0.19/0.55 % (18404)Memory used [KB]: 6012
% 0.19/0.55 % (18404)Time elapsed: 0.125 s
% 0.19/0.55 % (18404)Instructions burned: 6 (million)
% 0.19/0.55 % (18404)------------------------------
% 0.19/0.55 % (18404)------------------------------
% 0.19/0.55 % (18412)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (18412)------------------------------
% 0.19/0.55 % (18412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (18412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (18412)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (18412)Memory used [KB]: 5884
% 0.19/0.55 % (18412)Time elapsed: 0.123 s
% 0.19/0.55 % (18412)Instructions burned: 3 (million)
% 0.19/0.55 % (18412)------------------------------
% 0.19/0.55 % (18412)------------------------------
% 0.19/0.55 % (18388)Success in time 0.201 s
%------------------------------------------------------------------------------