TSTP Solution File: SET507-6 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET507-6 : 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 : n017.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 18:24:49 EDT 2022
% Result : Unsatisfiable 1.29s 0.52s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 33 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 10 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f316,plain,
$false,
inference(subsumption_resolution,[],[f310,f301]) ).
fof(f301,plain,
! [X0] : member(omega,X0),
inference(resolution,[],[f277,f52]) ).
fof(f52,axiom,
member(omega,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega_in_universal) ).
fof(f277,plain,
! [X2,X1] :
( ~ member(X2,universal_class)
| member(X2,X1) ),
inference(superposition,[],[f21,f245]) ).
fof(f245,plain,
! [X0] : universal_class = intersection(X0,complement(X0)),
inference(duplicate_literal_removal,[],[f244]) ).
fof(f244,plain,
! [X0] :
( universal_class = intersection(X0,complement(X0))
| universal_class = intersection(X0,complement(X0)) ),
inference(resolution,[],[f234,f233]) ).
fof(f233,plain,
! [X6,X5] :
( member(regular(intersection(X5,X6)),X5)
| universal_class = intersection(X5,X6) ),
inference(resolution,[],[f224,f21]) ).
fof(f224,plain,
! [X0] :
( member(regular(X0),X0)
| universal_class = X0 ),
inference(backward_demodulation,[],[f66,f222]) ).
fof(f222,plain,
universal_class = null_class,
inference(subsumption_resolution,[],[f211,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f211,plain,
( universal_class = null_class
| ~ subclass(null_class,universal_class) ),
inference(resolution,[],[f7,f113]) ).
fof(f113,axiom,
subclass(universal_class,null_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_universal_class_not_subclass_of_null_class_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f234,plain,
! [X0,X1] :
( ~ member(regular(intersection(X0,complement(X1))),X1)
| universal_class = intersection(X0,complement(X1)) ),
inference(resolution,[],[f232,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f232,plain,
! [X3,X4] :
( member(regular(intersection(X3,X4)),X4)
| universal_class = intersection(X3,X4) ),
inference(resolution,[],[f224,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f310,plain,
! [X0] : ~ member(omega,X0),
inference(resolution,[],[f301,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET507-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 13:21:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (1236)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)
% 0.20/0.50 % (1228)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)
% 0.20/0.51 % (1220)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)
% 0.20/0.52 % (1225)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)
% 0.20/0.52 % (1236)First to succeed.
% 1.29/0.52 % (1224)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.29/0.52 % (1236)Refutation found. Thanks to Tanya!
% 1.29/0.52 % SZS status Unsatisfiable for theBenchmark
% 1.29/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.29/0.52 % (1236)------------------------------
% 1.29/0.52 % (1236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52 % (1236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52 % (1236)Termination reason: Refutation
% 1.29/0.52
% 1.29/0.52 % (1236)Memory used [KB]: 1151
% 1.29/0.52 % (1236)Time elapsed: 0.069 s
% 1.29/0.52 % (1236)Instructions burned: 12 (million)
% 1.29/0.52 % (1236)------------------------------
% 1.29/0.52 % (1236)------------------------------
% 1.29/0.52 % (1213)Success in time 0.17 s
%------------------------------------------------------------------------------