TSTP Solution File: SET014-4 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET014-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n024.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 18:23:05 EDT 2022
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 36 ( 11 unt; 0 def)
% Number of atoms : 66 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 22 ~; 28 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f63,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f52,f62]) ).
fof(f62,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f61]) ).
fof(f61,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f59,f19]) ).
fof(f19,plain,
~ subset(complement(intersection(complement(as),complement(bs))),cs),
inference(definition_unfolding,[],[f18,f10]) ).
fof(f10,axiom,
! [X0,X1] : union(X0,X1) = complement(intersection(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f18,axiom,
~ subset(union(as,bs),cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_union_b_subset_of_c) ).
fof(f59,plain,
( subset(complement(intersection(complement(as),complement(bs))),cs)
| spl0_2 ),
inference(resolution,[],[f57,f15]) ).
fof(f15,axiom,
! [X0,X1] :
( ~ member(f17(X0,X1),X1)
| subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset3) ).
fof(f57,plain,
( member(f17(complement(intersection(complement(as),complement(bs))),cs),cs)
| spl0_2 ),
inference(resolution,[],[f56,f25]) ).
fof(f25,plain,
! [X1] :
( ~ member(X1,bs)
| member(X1,cs) ),
inference(resolution,[],[f13,f17]) ).
fof(f17,axiom,
subset(bs,cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_subset_of_c) ).
fof(f13,axiom,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset1) ).
fof(f56,plain,
( member(f17(complement(intersection(complement(as),complement(bs))),cs),bs)
| spl0_2 ),
inference(subsumption_resolution,[],[f55,f23]) ).
fof(f23,plain,
little_set(f17(complement(intersection(complement(as),complement(bs))),cs)),
inference(resolution,[],[f21,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| little_set(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
fof(f21,plain,
member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(intersection(complement(as),complement(bs)))),
inference(resolution,[],[f14,f19]) ).
fof(f14,axiom,
! [X0,X1] :
( subset(X0,X1)
| member(f17(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset2) ).
fof(f55,plain,
( member(f17(complement(intersection(complement(as),complement(bs))),cs),bs)
| ~ little_set(f17(complement(intersection(complement(as),complement(bs))),cs))
| spl0_2 ),
inference(resolution,[],[f43,f9]) ).
fof(f9,axiom,
! [X2,X0] :
( member(X2,complement(X0))
| ~ little_set(X2)
| member(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f43,plain,
( ~ member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(bs))
| spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl0_2
<=> member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(bs)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f52,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f51]) ).
fof(f51,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f49,f19]) ).
fof(f49,plain,
( subset(complement(intersection(complement(as),complement(bs))),cs)
| spl0_1 ),
inference(resolution,[],[f47,f15]) ).
fof(f47,plain,
( member(f17(complement(intersection(complement(as),complement(bs))),cs),cs)
| spl0_1 ),
inference(resolution,[],[f46,f24]) ).
fof(f24,plain,
! [X0] :
( ~ member(X0,as)
| member(X0,cs) ),
inference(resolution,[],[f13,f16]) ).
fof(f16,axiom,
subset(as,cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_subset_of_c) ).
fof(f46,plain,
( member(f17(complement(intersection(complement(as),complement(bs))),cs),as)
| spl0_1 ),
inference(subsumption_resolution,[],[f45,f23]) ).
fof(f45,plain,
( ~ little_set(f17(complement(intersection(complement(as),complement(bs))),cs))
| member(f17(complement(intersection(complement(as),complement(bs))),cs),as)
| spl0_1 ),
inference(resolution,[],[f39,f9]) ).
fof(f39,plain,
( ~ member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(as))
| spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl0_1
<=> member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(as)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f44,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f34,f41,f37]) ).
fof(f34,plain,
( ~ member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(bs))
| ~ member(f17(complement(intersection(complement(as),complement(bs))),cs),complement(as)) ),
inference(resolution,[],[f7,f22]) ).
fof(f22,plain,
~ member(f17(complement(intersection(complement(as),complement(bs))),cs),intersection(complement(as),complement(bs))),
inference(resolution,[],[f21,f8]) ).
fof(f8,axiom,
! [X2,X0] :
( ~ member(X2,complement(X0))
| ~ member(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f7,axiom,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET014-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 12:55:04 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (21138)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51 % (21129)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (21128)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)
% 0.21/0.52 % (21153)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)
% 0.21/0.52 % (21152)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)
% 0.21/0.52 % (21141)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)
% 0.21/0.52 % (21127)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)
% 0.21/0.53 % (21154)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53 % (21137)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.53 % (21126)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)
% 0.21/0.53 % (21132)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (21126)Refutation not found, incomplete strategy% (21126)------------------------------
% 0.21/0.53 % (21126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (21134)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)
% 0.21/0.53 % (21126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (21126)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (21126)Memory used [KB]: 5373
% 0.21/0.53 % (21126)Time elapsed: 0.121 s
% 0.21/0.53 % (21126)Instructions burned: 2 (million)
% 0.21/0.53 % (21126)------------------------------
% 0.21/0.53 % (21126)------------------------------
% 0.21/0.53 % (21125)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)
% 0.21/0.53 % (21130)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)
% 0.21/0.53 TRYING [1]
% 0.21/0.53 TRYING [2]
% 0.21/0.53 % (21139)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)
% 0.21/0.53 TRYING [3]
% 0.21/0.53 % (21135)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (21149)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)
% 0.21/0.53 % (21144)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54 % (21142)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)
% 0.21/0.54 % (21151)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54 % (21143)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.54 % (21146)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)
% 0.21/0.54 TRYING [1]
% 0.21/0.54 TRYING [2]
% 0.21/0.54 TRYING [3]
% 0.21/0.54 % (21146)First to succeed.
% 0.21/0.54 TRYING [4]
% 0.21/0.54 % (21146)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 % (21146)------------------------------
% 0.21/0.54 % (21146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (21146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (21146)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (21146)Memory used [KB]: 5500
% 0.21/0.54 % (21146)Time elapsed: 0.141 s
% 0.21/0.54 % (21146)Instructions burned: 3 (million)
% 0.21/0.54 % (21146)------------------------------
% 0.21/0.54 % (21146)------------------------------
% 0.21/0.54 % (21124)Success in time 0.189 s
%------------------------------------------------------------------------------