TSTP Solution File: SET013-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET013-2 : 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_sat --cores 0 -t %d %s
% Computer : n002.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 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 49 ( 12 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 77 ( 33 ~; 42 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f354,plain,
$false,
inference(avatar_sat_refutation,[],[f346,f347,f353]) ).
fof(f353,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f352,plain,
( $false
| ~ spl0_17 ),
inference(subsumption_resolution,[],[f349,f24]) ).
fof(f24,axiom,
~ equal_sets(cs,ds),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_equals_d) ).
fof(f349,plain,
( equal_sets(cs,ds)
| ~ spl0_17 ),
inference(resolution,[],[f341,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(f341,plain,
( equal_sets(ds,cs)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f339,plain,
( spl0_17
<=> equal_sets(ds,cs) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f347,plain,
spl0_18,
inference(avatar_split_clause,[],[f335,f343]) ).
fof(f343,plain,
( spl0_18
<=> subset(cs,ds) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f335,plain,
subset(cs,ds),
inference(duplicate_literal_removal,[],[f331]) ).
fof(f331,plain,
( subset(cs,ds)
| subset(cs,ds) ),
inference(resolution,[],[f330,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(f330,plain,
! [X0] :
( member(member_of_1_not_of_2(cs,X0),ds)
| subset(cs,X0) ),
inference(subsumption_resolution,[],[f326,f64]) ).
fof(f64,plain,
! [X0] :
( member(member_of_1_not_of_2(cs,X0),as)
| subset(cs,X0) ),
inference(resolution,[],[f61,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(f61,plain,
! [X2] :
( ~ member(X2,cs)
| member(X2,as) ),
inference(resolution,[],[f55,f11]) ).
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(f55,plain,
! [X6] :
( member(X6,intersection(as,bs))
| ~ member(X6,cs) ),
inference(resolution,[],[f2,f29]) ).
fof(f29,plain,
subset(cs,intersection(as,bs)),
inference(resolution,[],[f14,f22]) ).
fof(f22,axiom,
equal_sets(intersection(as,bs),cs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_of_a_and_b_is_c) ).
fof(f14,axiom,
! [X2,X3] :
( ~ equal_sets(X3,X2)
| subset(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_equal_sets_are_subsets2) ).
fof(f2,axiom,
! [X2,X3,X1] :
( ~ subset(X2,X3)
| member(X1,X3)
| ~ member(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',membership_in_subsets) ).
fof(f326,plain,
! [X0] :
( ~ member(member_of_1_not_of_2(cs,X0),as)
| member(member_of_1_not_of_2(cs,X0),ds)
| subset(cs,X0) ),
inference(resolution,[],[f306,f63]) ).
fof(f63,plain,
! [X0] :
( member(member_of_1_not_of_2(cs,X0),bs)
| subset(cs,X0) ),
inference(resolution,[],[f60,f3]) ).
fof(f60,plain,
! [X1] :
( ~ member(X1,cs)
| member(X1,bs) ),
inference(resolution,[],[f55,f12]) ).
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(f306,plain,
! [X7] :
( ~ member(X7,bs)
| member(X7,ds)
| ~ member(X7,as) ),
inference(resolution,[],[f10,f54]) ).
fof(f54,plain,
! [X5] :
( ~ member(X5,intersection(bs,as))
| member(X5,ds) ),
inference(resolution,[],[f2,f27]) ).
fof(f27,plain,
subset(intersection(bs,as),ds),
inference(resolution,[],[f13,f23]) ).
fof(f23,axiom,
equal_sets(intersection(bs,as),ds),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_of_b_and_a_is_d) ).
fof(f13,axiom,
! [X2,X3] :
( ~ equal_sets(X2,X3)
| subset(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_equal_sets_are_subsets1) ).
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(f346,plain,
( spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f321,f343,f339]) ).
fof(f321,plain,
( ~ subset(cs,ds)
| equal_sets(ds,cs) ),
inference(resolution,[],[f320,f15]) ).
fof(f15,axiom,
! [X6,X7] :
( ~ subset(X7,X6)
| equal_sets(X7,X6)
| ~ subset(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subsets_are_set_equal_sets) ).
fof(f320,plain,
subset(ds,cs),
inference(duplicate_literal_removal,[],[f317]) ).
fof(f317,plain,
( subset(ds,cs)
| subset(ds,cs) ),
inference(resolution,[],[f316,f4]) ).
fof(f316,plain,
! [X1] :
( member(member_of_1_not_of_2(ds,X1),cs)
| subset(ds,X1) ),
inference(subsumption_resolution,[],[f313,f69]) ).
fof(f69,plain,
! [X0] :
( member(member_of_1_not_of_2(ds,X0),as)
| subset(ds,X0) ),
inference(resolution,[],[f66,f3]) ).
fof(f66,plain,
! [X1] :
( ~ member(X1,ds)
| member(X1,as) ),
inference(resolution,[],[f56,f12]) ).
fof(f56,plain,
! [X7] :
( member(X7,intersection(bs,as))
| ~ member(X7,ds) ),
inference(resolution,[],[f2,f30]) ).
fof(f30,plain,
subset(ds,intersection(bs,as)),
inference(resolution,[],[f14,f23]) ).
fof(f313,plain,
! [X1] :
( subset(ds,X1)
| member(member_of_1_not_of_2(ds,X1),cs)
| ~ member(member_of_1_not_of_2(ds,X1),as) ),
inference(resolution,[],[f305,f78]) ).
fof(f78,plain,
! [X0] :
( member(member_of_1_not_of_2(ds,X0),bs)
| subset(ds,X0) ),
inference(resolution,[],[f67,f3]) ).
fof(f67,plain,
! [X2] :
( ~ member(X2,ds)
| member(X2,bs) ),
inference(resolution,[],[f56,f11]) ).
fof(f305,plain,
! [X6] :
( ~ member(X6,bs)
| ~ member(X6,as)
| member(X6,cs) ),
inference(resolution,[],[f10,f53]) ).
fof(f53,plain,
! [X4] :
( ~ member(X4,intersection(as,bs))
| member(X4,cs) ),
inference(resolution,[],[f2,f26]) ).
fof(f26,plain,
subset(intersection(as,bs),cs),
inference(resolution,[],[f13,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET013-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % 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 : n002.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 13:03:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (17134)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)
% 0.19/0.50 % (17133)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)
% 0.19/0.51 % (17132)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)
% 0.19/0.51 % (17140)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (17153)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)
% 0.19/0.51 % (17151)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.51 % (17131)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)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 % (17145)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)
% 0.19/0.51 % (17143)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (17148)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (17137)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (17149)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 TRYING [4]
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (17157)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)
% 0.19/0.52 % (17146)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)
% 0.19/0.52 % (17136)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)
% 0.19/0.52 % (17147)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)
% 0.19/0.52 % (17135)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (17143)First to succeed.
% 0.19/0.53 % (17143)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (17143)------------------------------
% 0.19/0.53 % (17143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (17143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (17143)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (17143)Memory used [KB]: 5628
% 0.19/0.53 % (17143)Time elapsed: 0.114 s
% 0.19/0.53 % (17143)Instructions burned: 10 (million)
% 0.19/0.53 % (17143)------------------------------
% 0.19/0.53 % (17143)------------------------------
% 0.19/0.53 % (17130)Success in time 0.178 s
%------------------------------------------------------------------------------