TSTP Solution File: SET200-6 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET200-6 : 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 : n018.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 18:24:09 EDT 2022
% Result : Unsatisfiable 1.70s 0.59s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 36 ( 20 unt; 0 def)
% Number of atoms : 56 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 30 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f316,plain,
$false,
inference(subsumption_resolution,[],[f315,f281]) ).
fof(f281,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),x),
inference(resolution,[],[f279,f212]) ).
fof(f212,plain,
! [X25] :
( member(X25,y)
| ~ member(X25,x) ),
inference(resolution,[],[f1,f113]) ).
fof(f113,axiom,
subclass(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_union_is_monotonic_1) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| member(X2,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f279,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),y),
inference(resolution,[],[f274,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f274,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),complement(y)),
inference(resolution,[],[f272,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f272,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),intersection(complement(y),complement(w))),
inference(subsumption_resolution,[],[f271,f219]) ).
fof(f219,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),universal_class),
inference(resolution,[],[f198,f187]) ).
fof(f187,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),complement(intersection(complement(x),complement(z)))),
inference(resolution,[],[f2,f154]) ).
fof(f154,plain,
~ subclass(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),
inference(definition_unfolding,[],[f115,f26,f26]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f115,axiom,
~ subclass(union(x,z),union(y,w)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_union_is_monotonic_3) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f198,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f271,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),intersection(complement(y),complement(w))) ),
inference(resolution,[],[f25,f189]) ).
fof(f189,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),complement(intersection(complement(y),complement(w)))),
inference(resolution,[],[f3,f154]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f315,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),x),
inference(subsumption_resolution,[],[f314,f219]) ).
fof(f314,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),x) ),
inference(resolution,[],[f313,f25]) ).
fof(f313,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),complement(x)),
inference(subsumption_resolution,[],[f312,f219]) ).
fof(f312,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),complement(x))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),universal_class) ),
inference(subsumption_resolution,[],[f311,f278]) ).
fof(f278,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),z),
inference(resolution,[],[f276,f213]) ).
fof(f213,plain,
! [X26] :
( member(X26,w)
| ~ member(X26,z) ),
inference(resolution,[],[f1,f114]) ).
fof(f114,axiom,
subclass(z,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_union_is_monotonic_2) ).
fof(f276,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),w),
inference(resolution,[],[f273,f24]) ).
fof(f273,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),complement(w)),
inference(resolution,[],[f272,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f311,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),z)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),universal_class)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),complement(x)) ),
inference(resolution,[],[f308,f25]) ).
fof(f308,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),complement(z))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),complement(x)) ),
inference(resolution,[],[f23,f188]) ).
fof(f188,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(z))),complement(intersection(complement(y),complement(w)))),intersection(complement(x),complement(z))),
inference(resolution,[],[f187,f24]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X0)
| ~ member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET200-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n018.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 13:30:55 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (19526)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.50 % (19534)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)
% 0.21/0.51 % (19526)Instruction limit reached!
% 0.21/0.51 % (19526)------------------------------
% 0.21/0.51 % (19526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (19542)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)
% 0.21/0.52 % (19526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (19526)Termination reason: Unknown
% 0.21/0.52 % (19526)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (19526)Memory used [KB]: 5500
% 0.21/0.52 % (19526)Time elapsed: 0.097 s
% 0.21/0.52 % (19526)Instructions burned: 7 (million)
% 0.21/0.52 % (19526)------------------------------
% 0.21/0.52 % (19526)------------------------------
% 0.21/0.52 % (19520)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 % (19523)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (19541)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)
% 0.21/0.54 % (19522)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)
% 0.21/0.54 % (19521)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)
% 0.21/0.54 % (19519)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)
% 0.21/0.54 % (19538)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)
% 0.21/0.55 % (19524)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)
% 0.21/0.55 % (19528)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)
% 0.21/0.55 % (19546)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)
% 0.21/0.55 % (19547)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.55 % (19537)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 % (19535)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)
% 0.21/0.55 % (19531)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.55 % (19540)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55 % (19525)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)
% 0.21/0.56 % (19548)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.56 % (19544)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.56 % (19529)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.56 % (19527)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.56 % (19543)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.56 % (19541)First to succeed.
% 0.21/0.56 % (19532)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.56 % (19533)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)
% 0.21/0.56 % (19545)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)
% 1.56/0.57 % (19536)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.56/0.57 % (19527)Instruction limit reached!
% 1.56/0.57 % (19527)------------------------------
% 1.56/0.57 % (19527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57 % (19527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57 % (19527)Termination reason: Unknown
% 1.56/0.57 % (19527)Termination phase: Property scanning
% 1.56/0.57
% 1.56/0.57 % (19527)Memory used [KB]: 1023
% 1.56/0.57 % (19527)Time elapsed: 0.004 s
% 1.56/0.57 % (19527)Instructions burned: 4 (million)
% 1.56/0.57 % (19527)------------------------------
% 1.56/0.57 % (19527)------------------------------
% 1.56/0.57 % (19530)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.56/0.57 % (19539)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)
% 1.70/0.59 % (19541)Refutation found. Thanks to Tanya!
% 1.70/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.70/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.70/0.59 % (19541)------------------------------
% 1.70/0.59 % (19541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.59 % (19541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.59 % (19541)Termination reason: Refutation
% 1.70/0.59
% 1.70/0.59 % (19541)Memory used [KB]: 1279
% 1.70/0.59 % (19541)Time elapsed: 0.113 s
% 1.70/0.59 % (19541)Instructions burned: 14 (million)
% 1.70/0.59 % (19541)------------------------------
% 1.70/0.59 % (19541)------------------------------
% 1.70/0.59 % (19518)Success in time 0.224 s
%------------------------------------------------------------------------------