TSTP Solution File: SET067-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET067-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 : Tue May 21 03:15:49 EDT 2024
% Result : Unsatisfiable 0.15s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 35 ( 14 unt; 0 def)
% Number of atoms : 62 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 25 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f516,plain,
$false,
inference(resolution,[],[f506,f463]) ).
fof(f463,plain,
~ subclass(null_class,unordered_pair(x,y)),
inference(backward_demodulation,[],[f92,f456]) ).
fof(f456,plain,
null_class = singleton(x),
inference(resolution,[],[f444,f312]) ).
fof(f312,plain,
! [X0] :
( member(X0,singleton(X0))
| singleton(X0) = null_class ),
inference(duplicate_literal_removal,[],[f311]) ).
fof(f311,plain,
! [X0] :
( member(X0,singleton(X0))
| singleton(X0) = null_class
| singleton(X0) = null_class ),
inference(superposition,[],[f66,f301]) ).
fof(f301,plain,
! [X0] :
( regular(singleton(X0)) = X0
| singleton(X0) = null_class ),
inference(resolution,[],[f297,f66]) ).
fof(f297,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f296]) ).
fof(f296,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1
| X0 = X1 ),
inference(superposition,[],[f8,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f444,plain,
! [X0] : ~ member(x,X0),
inference(resolution,[],[f441,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f441,plain,
! [X0] :
( ~ subclass(X0,universal_class)
| ~ member(x,X0) ),
inference(resolution,[],[f437,f1]) ).
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(f437,plain,
~ member(x,universal_class),
inference(resolution,[],[f421,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f421,plain,
~ member(x,unordered_pair(x,y)),
inference(backward_demodulation,[],[f101,f417]) ).
fof(f417,plain,
x = not_subclass_element(singleton(x),unordered_pair(x,y)),
inference(resolution,[],[f302,f92]) ).
fof(f302,plain,
! [X0,X1] :
( subclass(singleton(X0),X1)
| not_subclass_element(singleton(X0),X1) = X0 ),
inference(resolution,[],[f297,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f101,plain,
~ member(not_subclass_element(singleton(x),unordered_pair(x,y)),unordered_pair(x,y)),
inference(resolution,[],[f3,f92]) ).
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(f92,axiom,
~ subclass(singleton(x),unordered_pair(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair1_1) ).
fof(f506,plain,
! [X0] : subclass(null_class,X0),
inference(resolution,[],[f505,f2]) ).
fof(f505,plain,
! [X0] : ~ member(X0,null_class),
inference(duplicate_literal_removal,[],[f492]) ).
fof(f492,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,null_class) ),
inference(superposition,[],[f24,f479]) ).
fof(f479,plain,
null_class = complement(null_class),
inference(resolution,[],[f463,f377]) ).
fof(f377,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = complement(null_class) ),
inference(resolution,[],[f370,f2]) ).
fof(f370,plain,
! [X0] :
( ~ member(X0,null_class)
| null_class = complement(null_class) ),
inference(factoring,[],[f188]) ).
fof(f188,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| ~ member(X0,X1)
| complement(X1) = null_class ),
inference(resolution,[],[f178,f24]) ).
fof(f178,plain,
! [X0,X1] :
( member(X1,X0)
| ~ member(X1,null_class)
| null_class = X0 ),
inference(superposition,[],[f21,f67]) ).
fof(f67,axiom,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET067-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n003.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon May 20 12:14:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (9448)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (9454)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (9455)WARNING: value z3 for option sas not known
% 0.15/0.37 % (9453)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (9459)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.37 % (9458)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (9455)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (9456)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (9457)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.41 % (9458)First to succeed.
% 0.15/0.41 % (9458)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9448"
% 0.15/0.41 % (9458)Refutation found. Thanks to Tanya!
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.41 % (9458)------------------------------
% 0.20/0.41 % (9458)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.41 % (9458)Termination reason: Refutation
% 0.20/0.41
% 0.20/0.41 % (9458)Memory used [KB]: 1227
% 0.20/0.41 % (9458)Time elapsed: 0.036 s
% 0.20/0.41 % (9458)Instructions burned: 37 (million)
% 0.20/0.41 % (9448)Success in time 0.061 s
%------------------------------------------------------------------------------