TSTP Solution File: SET014-6 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET014-6 : 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 : n006.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 18:23:06 EDT 2022
% Result : Unsatisfiable 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 14 unt; 0 def)
% Number of atoms : 46 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 23 ~; 18 |; 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f324,plain,
$false,
inference(subsumption_resolution,[],[f322,f189]) ).
fof(f189,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),z),
inference(resolution,[],[f3,f145]) ).
fof(f145,plain,
~ subclass(complement(intersection(complement(x),complement(y))),z),
inference(definition_unfolding,[],[f115,f26]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f115,axiom,
~ subclass(union(x,y),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_least_upper_bound_3) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f322,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),z),
inference(resolution,[],[f321,f212]) ).
fof(f212,plain,
! [X25] :
( ~ member(X25,x)
| member(X25,z) ),
inference(resolution,[],[f1,f113]) ).
fof(f113,axiom,
subclass(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_least_upper_bound_1) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| member(X2,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f321,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),x),
inference(subsumption_resolution,[],[f320,f221]) ).
fof(f221,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),universal_class),
inference(resolution,[],[f201,f187]) ).
fof(f187,plain,
member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(intersection(complement(x),complement(y)))),
inference(resolution,[],[f2,f145]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f201,plain,
! [X8,X9] :
( ~ member(X8,X9)
| member(X8,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f320,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),x) ),
inference(resolution,[],[f319,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f319,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(x)),
inference(subsumption_resolution,[],[f317,f189]) ).
fof(f317,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),z)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(x)) ),
inference(resolution,[],[f316,f213]) ).
fof(f213,plain,
! [X26] :
( ~ member(X26,y)
| member(X26,z) ),
inference(resolution,[],[f1,f114]) ).
fof(f114,axiom,
subclass(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_least_upper_bound_2) ).
fof(f316,plain,
( member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),y)
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(x)) ),
inference(subsumption_resolution,[],[f315,f221]) ).
fof(f315,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(x))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),universal_class)
| member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),y) ),
inference(resolution,[],[f312,f25]) ).
fof(f312,plain,
( ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(y))
| ~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),complement(x)) ),
inference(resolution,[],[f23,f188]) ).
fof(f188,plain,
~ member(not_subclass_element(complement(intersection(complement(x),complement(y))),z),intersection(complement(x),complement(y))),
inference(resolution,[],[f187,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET014-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % 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 : n006.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 12:51:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.51 % (12080)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)
% 0.21/0.51 % (12072)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.52 % (12059)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52 % (12059)Instruction limit reached!
% 0.21/0.52 % (12059)------------------------------
% 0.21/0.52 % (12059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (12059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (12059)Termination reason: Unknown
% 0.21/0.52 % (12059)Termination phase: Property scanning
% 0.21/0.52
% 0.21/0.52 % (12059)Memory used [KB]: 1023
% 0.21/0.52 % (12059)Time elapsed: 0.003 s
% 0.21/0.52 % (12059)Instructions burned: 4 (million)
% 0.21/0.52 % (12059)------------------------------
% 0.21/0.52 % (12059)------------------------------
% 0.21/0.52 % (12065)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 % (12064)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52 % (12052)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)
% 0.21/0.52 % (12073)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)
% 0.21/0.53 % (12053)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 % (12077)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 % (12070)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)
% 0.21/0.53 % (12079)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 % (12051)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 % (12056)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 % (12058)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 % (12055)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (12058)Instruction limit reached!
% 0.21/0.53 % (12058)------------------------------
% 0.21/0.53 % (12058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (12058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (12058)Termination reason: Unknown
% 0.21/0.53 % (12058)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (12058)Memory used [KB]: 5500
% 0.21/0.53 % (12058)Time elapsed: 0.004 s
% 0.21/0.53 % (12058)Instructions burned: 7 (million)
% 0.21/0.53 % (12058)------------------------------
% 0.21/0.53 % (12058)------------------------------
% 0.21/0.53 % (12054)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 % (12071)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 % (12057)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)
% 0.21/0.54 % (12078)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)
% 0.21/0.54 % (12074)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)
% 0.21/0.54 % (12067)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 % (12061)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54 % (12076)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 % (12063)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.54 % (12075)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.55 % (12069)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 % (12062)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)
% 0.21/0.55 % (12060)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 % (12066)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)
% 0.21/0.55 % (12068)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.56 % (12073)First to succeed.
% 0.21/0.56 % (12073)Refutation found. Thanks to Tanya!
% 0.21/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.56 % (12073)------------------------------
% 0.21/0.56 % (12073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (12073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (12073)Termination reason: Refutation
% 0.21/0.56
% 0.21/0.56 % (12073)Memory used [KB]: 1151
% 0.21/0.56 % (12073)Time elapsed: 0.115 s
% 0.21/0.56 % (12073)Instructions burned: 13 (million)
% 0.21/0.56 % (12073)------------------------------
% 0.21/0.56 % (12073)------------------------------
% 0.21/0.56 % (12050)Success in time 0.206 s
%------------------------------------------------------------------------------