TSTP Solution File: SET013-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n023.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 18:23:04 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 9 unt; 0 def)
% Number of atoms : 75 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 62 ( 26 ~; 34 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f241,plain,
$false,
inference(avatar_sat_refutation,[],[f181,f215,f240]) ).
fof(f240,plain,
~ spl2_9,
inference(avatar_contradiction_clause,[],[f239]) ).
fof(f239,plain,
( $false
| ~ spl2_9 ),
inference(subsumption_resolution,[],[f236,f25]) ).
fof(f25,plain,
~ equal_sets(sF0,sF1),
inference(definition_folding,[],[f22,f24,f23]) ).
fof(f23,plain,
intersection(as,bs) = sF0,
introduced(function_definition,[]) ).
fof(f24,plain,
intersection(bs,as) = sF1,
introduced(function_definition,[]) ).
fof(f22,axiom,
~ equal_sets(intersection(as,bs),intersection(bs,as)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity) ).
fof(f236,plain,
( equal_sets(sF0,sF1)
| ~ spl2_9 ),
inference(resolution,[],[f176,f17]) ).
fof(f17,axiom,
! [X4,X5] :
( ~ equal_sets(X4,X5)
| equal_sets(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_for_set_equal) ).
fof(f176,plain,
( equal_sets(sF1,sF0)
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl2_9
<=> equal_sets(sF1,sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f215,plain,
spl2_10,
inference(avatar_split_clause,[],[f212,f178]) ).
fof(f178,plain,
( spl2_10
<=> subset(sF0,sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f212,plain,
subset(sF0,sF1),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f207,plain,
( subset(sF0,sF1)
| subset(sF0,sF1) ),
inference(resolution,[],[f206,f4]) ).
fof(f4,axiom,
! [X2,X3] :
( ~ member(member_of_1_not_of_2(X2,X3),X3)
| subset(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_axiom2) ).
fof(f206,plain,
! [X1] :
( member(member_of_1_not_of_2(sF0,X1),sF1)
| subset(sF0,X1) ),
inference(subsumption_resolution,[],[f203,f41]) ).
fof(f41,plain,
! [X0] :
( member(member_of_1_not_of_2(sF0,X0),as)
| subset(sF0,X0) ),
inference(resolution,[],[f39,f3]) ).
fof(f3,axiom,
! [X2,X3] :
( member(member_of_1_not_of_2(X2,X3),X2)
| subset(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_axiom1) ).
fof(f39,plain,
! [X0] :
( ~ member(X0,sF0)
| member(X0,as) ),
inference(superposition,[],[f11,f23]) ).
fof(f11,axiom,
! [X0,X4,X5] :
( ~ member(X0,intersection(X4,X5))
| member(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set1) ).
fof(f203,plain,
! [X1] :
( ~ member(member_of_1_not_of_2(sF0,X1),as)
| subset(sF0,X1)
| member(member_of_1_not_of_2(sF0,X1),sF1) ),
inference(resolution,[],[f150,f46]) ).
fof(f46,plain,
! [X0] :
( member(member_of_1_not_of_2(sF0,X0),bs)
| subset(sF0,X0) ),
inference(resolution,[],[f44,f3]) ).
fof(f44,plain,
! [X0] :
( ~ member(X0,sF0)
| member(X0,bs) ),
inference(superposition,[],[f12,f23]) ).
fof(f12,axiom,
! [X0,X4,X5] :
( ~ member(X0,intersection(X4,X5))
| member(X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set2) ).
fof(f150,plain,
! [X1] :
( ~ member(X1,bs)
| ~ member(X1,as)
| member(X1,sF1) ),
inference(superposition,[],[f10,f24]) ).
fof(f10,axiom,
! [X0,X4,X5] :
( member(X0,intersection(X4,X5))
| ~ member(X0,X5)
| ~ member(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_both_is_member_of_intersection) ).
fof(f181,plain,
( spl2_9
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f171,f178,f174]) ).
fof(f171,plain,
( ~ subset(sF0,sF1)
| equal_sets(sF1,sF0) ),
inference(resolution,[],[f170,f15]) ).
fof(f15,axiom,
! [X6,X7] :
( ~ subset(X7,X6)
| ~ subset(X6,X7)
| equal_sets(X7,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_are_set_equal_sets) ).
fof(f170,plain,
subset(sF1,sF0),
inference(duplicate_literal_removal,[],[f166]) ).
fof(f166,plain,
( subset(sF1,sF0)
| subset(sF1,sF0) ),
inference(resolution,[],[f159,f4]) ).
fof(f159,plain,
! [X0] :
( member(member_of_1_not_of_2(sF1,X0),sF0)
| subset(sF1,X0) ),
inference(subsumption_resolution,[],[f155,f47]) ).
fof(f47,plain,
! [X0] :
( member(member_of_1_not_of_2(sF1,X0),as)
| subset(sF1,X0) ),
inference(resolution,[],[f45,f3]) ).
fof(f45,plain,
! [X1] :
( ~ member(X1,sF1)
| member(X1,as) ),
inference(superposition,[],[f12,f24]) ).
fof(f155,plain,
! [X0] :
( ~ member(member_of_1_not_of_2(sF1,X0),as)
| member(member_of_1_not_of_2(sF1,X0),sF0)
| subset(sF1,X0) ),
inference(resolution,[],[f149,f42]) ).
fof(f42,plain,
! [X0] :
( member(member_of_1_not_of_2(sF1,X0),bs)
| subset(sF1,X0) ),
inference(resolution,[],[f40,f3]) ).
fof(f40,plain,
! [X1] :
( ~ member(X1,sF1)
| member(X1,bs) ),
inference(superposition,[],[f11,f24]) ).
fof(f149,plain,
! [X0] :
( ~ member(X0,bs)
| ~ member(X0,as)
| member(X0,sF0) ),
inference(superposition,[],[f10,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET013-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 13:12:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 % (2520)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.48 % (2536)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.48 % (2520)Instruction limit reached!
% 0.20/0.48 % (2520)------------------------------
% 0.20/0.48 % (2520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (2520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (2520)Termination reason: Unknown
% 0.20/0.50 % (2520)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (2520)Memory used [KB]: 5500
% 0.20/0.50 % (2520)Time elapsed: 0.071 s
% 0.20/0.50 % (2520)Instructions burned: 7 (million)
% 0.20/0.50 % (2520)------------------------------
% 0.20/0.50 % (2520)------------------------------
% 0.20/0.50 % (2517)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (2526)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (2535)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52 % (2528)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52 % (2513)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52 % (2540)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 TRYING [2]
% 0.20/0.52 TRYING [3]
% 0.20/0.52 % (2527)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52 % (2516)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 TRYING [4]
% 0.20/0.52 % (2539)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (2518)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (2514)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (2515)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (2514)Refutation not found, incomplete strategy% (2514)------------------------------
% 0.20/0.53 % (2514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2514)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (2514)Memory used [KB]: 5373
% 0.20/0.53 % (2514)Time elapsed: 0.126 s
% 0.20/0.53 % (2514)------------------------------
% 0.20/0.53 % (2514)------------------------------
% 0.20/0.53 % (2529)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (2532)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (2541)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (2526)First to succeed.
% 0.20/0.53 % (2530)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (2538)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (2526)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (2526)------------------------------
% 0.20/0.54 % (2526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (2526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (2526)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (2526)Memory used [KB]: 5500
% 0.20/0.54 % (2526)Time elapsed: 0.111 s
% 0.20/0.54 % (2526)Instructions burned: 7 (million)
% 0.20/0.54 % (2526)------------------------------
% 0.20/0.54 % (2526)------------------------------
% 0.20/0.54 % (2512)Success in time 0.184 s
%------------------------------------------------------------------------------