TSTP Solution File: SET013-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET013-1 : 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 : n017.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 18:18:20 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 22 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f155,plain,
$false,
inference(unit_resulting_resolution,[],[f151,f142,f152,f10]) ).
fof(f10,axiom,
! [X0,X4,X5] :
( member(X0,intersection(X4,X5))
| ~ member(X0,X5)
| ~ member(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_both_is_member_of_intersection) ).
fof(f152,plain,
member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),as),
inference(resolution,[],[f143,f11]) ).
fof(f11,axiom,
! [X0,X4,X5] :
( ~ member(X0,intersection(X4,X5))
| member(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set1) ).
fof(f143,plain,
member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(as,bs)),
inference(resolution,[],[f141,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(f141,plain,
~ subset(intersection(as,bs),intersection(bs,as)),
inference(subsumption_resolution,[],[f140,f128]) ).
fof(f128,plain,
( member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),bs)
| ~ subset(intersection(as,bs),intersection(bs,as)) ),
inference(resolution,[],[f32,f11]) ).
fof(f32,plain,
( member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(bs,as))
| ~ subset(intersection(as,bs),intersection(bs,as)) ),
inference(resolution,[],[f29,f3]) ).
fof(f29,plain,
( ~ subset(intersection(bs,as),intersection(as,bs))
| ~ subset(intersection(as,bs),intersection(bs,as)) ),
inference(resolution,[],[f15,f22]) ).
fof(f22,axiom,
~ equal_sets(intersection(as,bs),intersection(bs,as)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity) ).
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(f140,plain,
( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),bs)
| ~ subset(intersection(as,bs),intersection(bs,as)) ),
inference(subsumption_resolution,[],[f139,f127]) ).
fof(f127,plain,
( member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),as)
| ~ subset(intersection(as,bs),intersection(bs,as)) ),
inference(resolution,[],[f32,f12]) ).
fof(f12,axiom,
! [X0,X4,X5] :
( ~ member(X0,intersection(X4,X5))
| member(X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set2) ).
fof(f139,plain,
( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),as)
| ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),bs)
| ~ subset(intersection(as,bs),intersection(bs,as)) ),
inference(resolution,[],[f10,f31]) ).
fof(f31,plain,
( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(as,bs))
| ~ subset(intersection(as,bs),intersection(bs,as)) ),
inference(resolution,[],[f29,f4]) ).
fof(f4,axiom,
! [X2,X3] :
( subset(X2,X3)
| ~ member(member_of_1_not_of_2(X2,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom2) ).
fof(f142,plain,
~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(bs,as)),
inference(resolution,[],[f141,f4]) ).
fof(f151,plain,
member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),bs),
inference(resolution,[],[f143,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET013-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n017.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 12:15:50 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.48 % (7771)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)
% 0.18/0.49 % (7755)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)
% 0.18/0.49 % (7764)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)
% 0.18/0.49 % (7755)Instruction limit reached!
% 0.18/0.49 % (7755)------------------------------
% 0.18/0.49 % (7755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (7764)Refutation not found, incomplete strategy% (7764)------------------------------
% 0.18/0.49 % (7764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (7756)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)
% 0.18/0.49 % (7764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (7764)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.49
% 0.18/0.49 % (7764)Memory used [KB]: 5884
% 0.18/0.49 % (7764)Time elapsed: 0.052 s
% 0.18/0.49 % (7764)Instructions burned: 1 (million)
% 0.18/0.49 % (7764)------------------------------
% 0.18/0.49 % (7764)------------------------------
% 0.18/0.49 % (7763)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)
% 0.18/0.49 % (7755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (7755)Termination reason: Unknown
% 0.18/0.49 % (7755)Termination phase: Saturation
% 0.18/0.49
% 0.18/0.49 % (7755)Memory used [KB]: 5884
% 0.18/0.49 % (7755)Time elapsed: 0.095 s
% 0.18/0.49 % (7755)Instructions burned: 3 (million)
% 0.18/0.49 % (7755)------------------------------
% 0.18/0.49 % (7755)------------------------------
% 0.18/0.49 % (7748)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)
% 0.18/0.49 % (7763)Refutation not found, incomplete strategy% (7763)------------------------------
% 0.18/0.49 % (7763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (7763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (7763)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.49
% 0.18/0.49 % (7763)Memory used [KB]: 5756
% 0.18/0.49 % (7763)Time elapsed: 0.107 s
% 0.18/0.49 % (7763)Instructions burned: 1 (million)
% 0.18/0.49 % (7763)------------------------------
% 0.18/0.49 % (7763)------------------------------
% 0.18/0.50 % (7771)Refutation not found, incomplete strategy% (7771)------------------------------
% 0.18/0.50 % (7771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (7771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (7771)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50
% 0.18/0.50 % (7771)Memory used [KB]: 5884
% 0.18/0.50 % (7771)Time elapsed: 0.105 s
% 0.18/0.50 % (7771)Instructions burned: 2 (million)
% 0.18/0.50 % (7771)------------------------------
% 0.18/0.50 % (7771)------------------------------
% 0.18/0.50 % (7753)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.18/0.50 % (7754)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)
% 0.18/0.50 % (7756)First to succeed.
% 0.18/0.51 % (7756)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (7756)------------------------------
% 0.18/0.51 % (7756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (7756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (7756)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (7756)Memory used [KB]: 1407
% 0.18/0.51 % (7756)Time elapsed: 0.068 s
% 0.18/0.51 % (7756)Instructions burned: 12 (million)
% 0.18/0.51 % (7756)------------------------------
% 0.18/0.51 % (7756)------------------------------
% 0.18/0.51 % (7741)Success in time 0.163 s
%------------------------------------------------------------------------------