TSTP Solution File: SET082-7 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET082-7 : 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_uns --cores 0 -t %d %s
% Computer : n020.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 18:19:00 EDT 2022
% Result : Unsatisfiable 1.45s 0.55s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 62 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 24 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f432,plain,
$false,
inference(unit_resulting_resolution,[],[f127,f430,f106]) ).
fof(f106,axiom,
! [X4] :
( member(not_subclass_element(X4,null_class),X4)
| null_class = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',null_class_is_unique) ).
fof(f430,plain,
! [X8] : ~ member(X8,singleton(x)),
inference(subsumption_resolution,[],[f429,f198]) ).
fof(f198,plain,
! [X24] : ~ member(x,X24),
inference(subsumption_resolution,[],[f197,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f197,plain,
! [X24] :
( ~ subclass(X24,universal_class)
| ~ member(x,X24) ),
inference(resolution,[],[f1,f126]) ).
fof(f126,axiom,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_is_null_class_1) ).
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f429,plain,
! [X8] :
( member(x,singleton(x))
| ~ member(X8,singleton(x)) ),
inference(subsumption_resolution,[],[f427,f127]) ).
fof(f427,plain,
! [X8] :
( ~ member(X8,singleton(x))
| null_class = singleton(x)
| member(x,singleton(x)) ),
inference(superposition,[],[f66,f422]) ).
fof(f422,plain,
! [X2] :
( x = regular(singleton(x))
| ~ member(X2,singleton(x)) ),
inference(resolution,[],[f394,f125]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).
fof(f394,plain,
! [X0] :
( member(regular(singleton(x)),singleton(x))
| ~ member(X0,singleton(x)) ),
inference(superposition,[],[f221,f389]) ).
fof(f389,plain,
not_subclass_element(singleton(x),null_class) = regular(singleton(x)),
inference(subsumption_resolution,[],[f387,f127]) ).
fof(f387,plain,
( not_subclass_element(singleton(x),null_class) = regular(singleton(x))
| null_class = singleton(x) ),
inference(resolution,[],[f331,f106]) ).
fof(f331,plain,
! [X4] :
( ~ member(X4,singleton(x))
| regular(singleton(x)) = X4 ),
inference(superposition,[],[f125,f322]) ).
fof(f322,plain,
singleton(x) = singleton(regular(singleton(x))),
inference(subsumption_resolution,[],[f316,f127]) ).
fof(f316,plain,
( singleton(x) = singleton(regular(singleton(x)))
| null_class = singleton(x) ),
inference(resolution,[],[f311,f66]) ).
fof(f311,plain,
! [X1] :
( ~ member(X1,singleton(x))
| singleton(X1) = singleton(x) ),
inference(subsumption_resolution,[],[f309,f259]) ).
fof(f259,plain,
! [X0] :
( ~ subclass(singleton(X0),singleton(x))
| singleton(X0) = singleton(x) ),
inference(resolution,[],[f255,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| X0 = X1
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f255,plain,
! [X6] : subclass(singleton(x),singleton(X6)),
inference(superposition,[],[f110,f245]) ).
fof(f245,plain,
! [X2] : singleton(X2) = unordered_pair(X2,x),
inference(resolution,[],[f111,f126]) ).
fof(f111,axiom,
! [X0,X1] :
( member(X1,universal_class)
| unordered_pair(X0,X1) = singleton(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_equals_singleton1) ).
fof(f110,axiom,
! [X0,X1] : subclass(singleton(X1),unordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_in_unordered_pair2) ).
fof(f309,plain,
! [X1] :
( singleton(X1) = singleton(x)
| subclass(singleton(X1),singleton(x))
| ~ member(X1,singleton(x)) ),
inference(superposition,[],[f3,f307]) ).
fof(f307,plain,
! [X0] :
( not_subclass_element(singleton(X0),singleton(x)) = X0
| singleton(X0) = singleton(x) ),
inference(resolution,[],[f279,f125]) ).
fof(f279,plain,
! [X2] :
( member(not_subclass_element(singleton(X2),singleton(x)),singleton(X2))
| singleton(x) = singleton(X2) ),
inference(resolution,[],[f259,f2]) ).
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(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f221,plain,
! [X2,X1] :
( member(not_subclass_element(X2,null_class),X2)
| ~ member(X1,X2) ),
inference(resolution,[],[f193,f2]) ).
fof(f193,plain,
! [X14,X15] :
( ~ subclass(X15,null_class)
| ~ member(X14,X15) ),
inference(resolution,[],[f1,f103]) ).
fof(f103,axiom,
! [X4] : ~ member(X4,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f127,axiom,
null_class != singleton(x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_is_null_class_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET082-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n020.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 13:13:45 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (7395)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.50 % (7387)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.51 % (7405)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.21/0.52 % (7394)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.52 % (7386)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.53 % (7394)Instruction limit reached!
% 0.21/0.53 % (7394)------------------------------
% 0.21/0.53 % (7394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (7382)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.53 % (7410)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53 % (7394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (7394)Termination reason: Unknown
% 0.21/0.53 % (7394)Termination phase: Property scanning
% 0.21/0.53
% 0.21/0.53 % (7394)Memory used [KB]: 1407
% 0.21/0.53 % (7394)Time elapsed: 0.005 s
% 0.21/0.53 % (7394)Instructions burned: 5 (million)
% 0.21/0.53 % (7394)------------------------------
% 0.21/0.53 % (7394)------------------------------
% 0.21/0.53 % (7403)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.21/0.53 % (7396)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.53 % (7383)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.54 % (7409)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.54 % (7404)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.54 % (7384)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.54 % (7395)First to succeed.
% 0.21/0.54 % (7406)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.21/0.54 % (7385)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.54 % (7396)Instruction limit reached!
% 0.21/0.54 % (7396)------------------------------
% 0.21/0.54 % (7396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (7396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (7396)Termination reason: Unknown
% 0.21/0.54 % (7396)Termination phase: Finite model building preprocessing
% 0.21/0.54
% 0.21/0.54 % (7396)Memory used [KB]: 1535
% 0.21/0.54 % (7396)Time elapsed: 0.008 s
% 0.21/0.54 % (7396)Instructions burned: 8 (million)
% 0.21/0.54 % (7396)------------------------------
% 0.21/0.54 % (7396)------------------------------
% 0.21/0.54 % (7402)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.21/0.54 % (7401)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.54 % (7381)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.54 % (7388)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (7392)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.21/0.54 % (7398)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.55 % (7385)Also succeeded, but the first one will report.
% 1.45/0.55 % (7395)Refutation found. Thanks to Tanya!
% 1.45/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.45/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.55 % (7395)------------------------------
% 1.45/0.55 % (7395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (7395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (7395)Termination reason: Refutation
% 1.45/0.55
% 1.45/0.55 % (7395)Memory used [KB]: 1663
% 1.45/0.55 % (7395)Time elapsed: 0.120 s
% 1.45/0.55 % (7395)Instructions burned: 24 (million)
% 1.45/0.55 % (7395)------------------------------
% 1.45/0.55 % (7395)------------------------------
% 1.45/0.55 % (7375)Success in time 0.189 s
%------------------------------------------------------------------------------