TSTP Solution File: SET065+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET065+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : n022.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 18:23:28 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 9 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 90 ( 32 ~; 26 |; 23 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 44 ( 38 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f474,plain,
$false,
inference(resolution,[],[f469,f212]) ).
fof(f212,plain,
inductive(sK3),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ! [X1] :
( subclass(sK3,X1)
| ~ inductive(X1) )
& member(sK3,universal_class)
& inductive(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f82,f130]) ).
fof(f130,plain,
( ? [X0] :
( ! [X1] :
( subclass(X0,X1)
| ~ inductive(X1) )
& member(X0,universal_class)
& inductive(X0) )
=> ( ! [X1] :
( subclass(sK3,X1)
| ~ inductive(X1) )
& member(sK3,universal_class)
& inductive(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
? [X0] :
( ! [X1] :
( subclass(X0,X1)
| ~ inductive(X1) )
& member(X0,universal_class)
& inductive(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
? [X0] :
( member(X0,universal_class)
& ! [X1] :
( inductive(X1)
=> subclass(X0,X1) )
& inductive(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infinity) ).
fof(f469,plain,
! [X0] : ~ inductive(X0),
inference(subsumption_resolution,[],[f425,f179]) ).
fof(f179,plain,
~ member(null_class,universal_class),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
~ member(null_class,universal_class),
inference(flattening,[],[f45]) ).
fof(f45,negated_conjecture,
~ member(null_class,universal_class),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
member(null_class,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_is_a_set) ).
fof(f425,plain,
! [X0] :
( member(null_class,universal_class)
| ~ inductive(X0) ),
inference(resolution,[],[f373,f232]) ).
fof(f232,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f373,plain,
! [X18,X17] :
( ~ subclass(X18,X17)
| member(null_class,X17)
| ~ inductive(X18) ),
inference(resolution,[],[f190,f218]) ).
fof(f218,plain,
! [X0] :
( member(null_class,X0)
| ~ inductive(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( inductive(X0)
| ~ subclass(image(successor_relation,X0),X0)
| ~ member(null_class,X0) )
& ( ( subclass(image(successor_relation,X0),X0)
& member(null_class,X0) )
| ~ inductive(X0) ) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ( inductive(X0)
| ~ subclass(image(successor_relation,X0),X0)
| ~ member(null_class,X0) )
& ( ( subclass(image(successor_relation,X0),X0)
& member(null_class,X0) )
| ~ inductive(X0) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( inductive(X0)
<=> ( subclass(image(successor_relation,X0),X0)
& member(null_class,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inductive_defn) ).
fof(f190,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) )
| ~ subclass(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f115,f116]) ).
fof(f116,plain,
! [X0,X1] :
( ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) )
=> ( member(sK0(X0,X1),X0)
& ~ member(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) )
& ( ! [X3] :
( ~ member(X3,X0)
| member(X3,X1) )
| ~ subclass(X0,X1) ) ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
! [X1,X0] :
( ( subclass(X1,X0)
| ? [X2] :
( member(X2,X1)
& ~ member(X2,X0) ) )
& ( ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) )
| ~ subclass(X1,X0) ) ),
inference(nnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X1,X0] :
( subclass(X1,X0)
<=> ! [X2] :
( ~ member(X2,X1)
| member(X2,X0) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X1)
=> member(X2,X0) )
<=> subclass(X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
<=> subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_defn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET065+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 13:07:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.48 % (16887)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)
% 0.20/0.49 % (16913)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)
% 0.20/0.49 % (16897)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.49 % (16910)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)
% 0.20/0.50 % (16905)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (16891)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (16896)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)
% 0.20/0.51 % (16898)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)
% 0.20/0.51 % (16894)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (16888)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)
% 0.20/0.51 % (16905)First to succeed.
% 0.20/0.51 % (16894)Instruction limit reached!
% 0.20/0.51 % (16894)------------------------------
% 0.20/0.51 % (16894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (16909)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)
% 0.20/0.52 % (16892)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)
% 0.20/0.52 % (16894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (16894)Termination reason: Unknown
% 0.20/0.52 % (16894)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (16894)Memory used [KB]: 5500
% 0.20/0.52 % (16894)Time elapsed: 0.116 s
% 0.20/0.52 % (16894)Instructions burned: 7 (million)
% 0.20/0.52 % (16894)------------------------------
% 0.20/0.52 % (16894)------------------------------
% 0.20/0.52 % (16901)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)
% 0.20/0.52 % (16913)Also succeeded, but the first one will report.
% 0.20/0.52 % (16905)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (16905)------------------------------
% 0.20/0.52 % (16905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (16905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (16905)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (16905)Memory used [KB]: 5756
% 0.20/0.52 % (16905)Time elapsed: 0.123 s
% 0.20/0.52 % (16905)Instructions burned: 13 (million)
% 0.20/0.52 % (16905)------------------------------
% 0.20/0.52 % (16905)------------------------------
% 0.20/0.52 % (16886)Success in time 0.174 s
%------------------------------------------------------------------------------