TSTP Solution File: SET012-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET012-2 : 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 : n029.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 18:18:19 EDT 2022
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 33 ( 10 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 24 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f169,plain,
$false,
inference(global_subsumption,[],[f25,f142,f167]) ).
fof(f167,plain,
subset(c,a),
inference(duplicate_literal_removal,[],[f166]) ).
fof(f166,plain,
( subset(c,a)
| subset(c,a) ),
inference(resolution,[],[f164,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(f164,plain,
! [X1] :
( member(member_of_1_not_of_2(c,X1),a)
| subset(c,X1) ),
inference(resolution,[],[f99,f5]) ).
fof(f5,axiom,
! [X0,X4] :
( member(X0,complement(X4))
| member(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_set_or_complement) ).
fof(f99,plain,
! [X0] :
( ~ member(member_of_1_not_of_2(c,X0),complement(a))
| subset(c,X0) ),
inference(resolution,[],[f84,f44]) ).
fof(f44,plain,
! [X0] :
( member(X0,b)
| ~ member(X0,complement(a)) ),
inference(resolution,[],[f40,f2]) ).
fof(f2,axiom,
! [X2,X3,X1] :
( ~ subset(X2,X3)
| ~ member(X1,X2)
| member(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',membership_in_subsets) ).
fof(f40,plain,
subset(complement(a),b),
inference(resolution,[],[f22,f13]) ).
fof(f13,axiom,
! [X2,X3] :
( ~ equal_sets(X2,X3)
| subset(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_equal_sets_are_subsets1) ).
fof(f22,axiom,
equal_sets(complement(a),b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_of_a_is_b) ).
fof(f84,plain,
! [X0] :
( ~ member(member_of_1_not_of_2(c,X0),b)
| subset(c,X0) ),
inference(resolution,[],[f83,f3]) ).
fof(f3,axiom,
! [X2,X3] :
( member(member_of_1_not_of_2(X2,X3),X2)
| subset(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom1) ).
fof(f83,plain,
! [X1] :
( ~ member(X1,c)
| ~ member(X1,b) ),
inference(resolution,[],[f47,f6]) ).
fof(f6,axiom,
! [X0,X4] :
( ~ member(X0,complement(X4))
| ~ member(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_member_of_set_and_complement) ).
fof(f47,plain,
! [X0] :
( member(X0,complement(b))
| ~ member(X0,c) ),
inference(resolution,[],[f43,f2]) ).
fof(f43,plain,
subset(c,complement(b)),
inference(resolution,[],[f23,f14]) ).
fof(f14,axiom,
! [X2,X3] :
( ~ equal_sets(X3,X2)
| subset(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_equal_sets_are_subsets2) ).
fof(f23,axiom,
equal_sets(complement(b),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_of_b_is_c) ).
fof(f142,plain,
subset(a,c),
inference(duplicate_literal_removal,[],[f141]) ).
fof(f141,plain,
( subset(a,c)
| subset(a,c) ),
inference(resolution,[],[f138,f3]) ).
fof(f138,plain,
! [X0] :
( ~ member(member_of_1_not_of_2(X0,c),a)
| subset(X0,c) ),
inference(resolution,[],[f135,f78]) ).
fof(f78,plain,
! [X1] :
( ~ member(X1,b)
| ~ member(X1,a) ),
inference(resolution,[],[f45,f6]) ).
fof(f45,plain,
! [X0] :
( member(X0,complement(a))
| ~ member(X0,b) ),
inference(resolution,[],[f41,f2]) ).
fof(f41,plain,
subset(b,complement(a)),
inference(resolution,[],[f22,f14]) ).
fof(f135,plain,
! [X1] :
( member(member_of_1_not_of_2(X1,c),b)
| subset(X1,c) ),
inference(resolution,[],[f81,f5]) ).
fof(f81,plain,
! [X0] :
( ~ member(member_of_1_not_of_2(X0,c),complement(b))
| subset(X0,c) ),
inference(resolution,[],[f46,f4]) ).
fof(f46,plain,
! [X0] :
( member(X0,c)
| ~ member(X0,complement(b)) ),
inference(resolution,[],[f42,f2]) ).
fof(f42,plain,
subset(complement(b),c),
inference(resolution,[],[f23,f13]) ).
fof(f25,plain,
( ~ subset(a,c)
| ~ subset(c,a) ),
inference(resolution,[],[f24,f15]) ).
fof(f15,axiom,
! [X6,X7] :
( equal_sets(X7,X6)
| ~ subset(X6,X7)
| ~ subset(X7,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_are_set_equal_sets) ).
fof(f24,axiom,
~ equal_sets(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_equals_c) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET012-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 13:01:27 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (11322)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.51 % (11344)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.51 % (11332)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)
% 0.21/0.51 % (11323)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)
% 0.21/0.52 % (11331)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)
% 0.21/0.52 % (11337)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52 % (11340)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)
% 0.21/0.52 % (11336)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.21/0.52 % (11325)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)
% 0.21/0.52 % (11346)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.21/0.53 % (11325)Instruction limit reached!
% 0.21/0.53 % (11325)------------------------------
% 0.21/0.53 % (11325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11336)First to succeed.
% 0.21/0.53 % (11346)Refutation not found, incomplete strategy% (11346)------------------------------
% 0.21/0.53 % (11346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (11346)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (11346)Memory used [KB]: 1407
% 0.21/0.53 % (11346)Time elapsed: 0.123 s
% 0.21/0.53 % (11346)Instructions burned: 1 (million)
% 0.21/0.53 % (11346)------------------------------
% 0.21/0.53 % (11346)------------------------------
% 0.21/0.53 % (11337)Instruction limit reached!
% 0.21/0.53 % (11337)------------------------------
% 0.21/0.53 % (11337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (11337)Termination reason: Unknown
% 0.21/0.53 % (11337)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (11337)Memory used [KB]: 5884
% 0.21/0.53 % (11337)Time elapsed: 0.117 s
% 0.21/0.53 % (11337)Instructions burned: 7 (million)
% 0.21/0.53 % (11337)------------------------------
% 0.21/0.53 % (11337)------------------------------
% 0.21/0.53 % (11331)Instruction limit reached!
% 0.21/0.53 % (11331)------------------------------
% 0.21/0.53 % (11331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (11325)Termination reason: Unknown
% 0.21/0.53 % (11325)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (11325)Memory used [KB]: 5884
% 0.21/0.53 % (11325)Time elapsed: 0.125 s
% 0.21/0.53 % (11325)Instructions burned: 3 (million)
% 0.21/0.53 % (11325)------------------------------
% 0.21/0.53 % (11325)------------------------------
% 0.21/0.53 % (11333)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)
% 0.21/0.53 % (11328)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.53 TRYING [1]
% 0.21/0.53 TRYING [2]
% 0.21/0.53 TRYING [3]
% 0.21/0.53 % (11333)Instruction limit reached!
% 0.21/0.53 % (11333)------------------------------
% 0.21/0.53 % (11333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (11333)Termination reason: Unknown
% 0.21/0.53 % (11333)Termination phase: Finite model building SAT solving
% 0.21/0.53
% 0.21/0.53 % (11333)Memory used [KB]: 6012
% 0.21/0.53 % (11333)Time elapsed: 0.087 s
% 0.21/0.53 % (11333)Instructions burned: 6 (million)
% 0.21/0.53 % (11333)------------------------------
% 0.21/0.53 % (11333)------------------------------
% 0.21/0.53 % (11319)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.53 % (11324)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)
% 0.21/0.53 % (11319)Refutation not found, incomplete strategy% (11319)------------------------------
% 0.21/0.53 % (11319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (11319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (11319)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (11319)Memory used [KB]: 5884
% 0.21/0.53 % (11319)Time elapsed: 0.126 s
% 0.21/0.53 % (11319)Instructions burned: 2 (million)
% 0.21/0.53 % (11319)------------------------------
% 0.21/0.53 % (11319)------------------------------
% 0.21/0.54 % (11317)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.54 % (11331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (11336)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (11336)------------------------------
% 0.21/0.54 % (11336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (11336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (11336)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (11336)Memory used [KB]: 10362
% 0.21/0.54 % (11336)Time elapsed: 0.122 s
% 0.21/0.54 % (11336)Instructions burned: 5 (million)
% 0.21/0.54 % (11336)------------------------------
% 0.21/0.54 % (11336)------------------------------
% 0.21/0.54 % (11314)Success in time 0.178 s
%------------------------------------------------------------------------------