TSTP Solution File: SET245-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET245-6 : 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 : n027.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 03:18:01 EDT 2024
% Result : Unsatisfiable 0.13s 0.40s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 41 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 16 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f794,plain,
$false,
inference(resolution,[],[f788,f52]) ).
fof(f52,axiom,
member(omega,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',omega_in_universal) ).
fof(f788,plain,
! [X0] : ~ member(X0,universal_class),
inference(resolution,[],[f759,f760]) ).
fof(f760,plain,
! [X0] : ~ member(X0,null_class),
inference(duplicate_literal_removal,[],[f747]) ).
fof(f747,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,null_class) ),
inference(superposition,[],[f24,f746]) ).
fof(f746,plain,
null_class = complement(null_class),
inference(trivial_inequality_removal,[],[f740]) ).
fof(f740,plain,
( null_class != null_class
| null_class = complement(null_class) ),
inference(superposition,[],[f113,f732]) ).
fof(f732,plain,
! [X0,X1] :
( null_class = restrict(null_class,X0,X1)
| null_class = complement(null_class) ),
inference(superposition,[],[f700,f28]) ).
fof(f28,axiom,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
fof(f700,plain,
! [X0] :
( null_class = intersection(null_class,X0)
| null_class = complement(null_class) ),
inference(resolution,[],[f126,f443]) ).
fof(f443,plain,
! [X0] :
( ~ member(X0,null_class)
| null_class = complement(null_class) ),
inference(factoring,[],[f229]) ).
fof(f229,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| ~ member(X0,X1)
| complement(X1) = null_class ),
inference(resolution,[],[f205,f24]) ).
fof(f205,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/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f126,plain,
! [X0,X1] :
( member(regular(intersection(X0,X1)),X0)
| intersection(X0,X1) = null_class ),
inference(resolution,[],[f21,f66]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f113,axiom,
null_class != restrict(null_class,x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_with_null_class1_1) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f759,plain,
! [X0] :
( member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(duplicate_literal_removal,[],[f748]) ).
fof(f748,plain,
! [X0] :
( member(X0,null_class)
| member(X0,null_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f25,f746]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET245-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n027.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 : Mon May 20 13:05:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (25019)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (25021)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (25026)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)
% 0.13/0.36 % (25025)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)
% 0.13/0.37 % (25020)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (25022)WARNING: value z3 for option sas not known
% 0.13/0.38 % (25022)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)
% 0.13/0.38 % (25023)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (25024)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)
% 0.13/0.40 % (25025)First to succeed.
% 0.13/0.40 % (25025)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25019"
% 0.13/0.40 TRYING [1]
% 0.13/0.40 % (25025)Refutation found. Thanks to Tanya!
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.40 % (25025)------------------------------
% 0.13/0.40 % (25025)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.40 % (25025)Termination reason: Refutation
% 0.13/0.40
% 0.13/0.40 % (25025)Memory used [KB]: 1424
% 0.13/0.40 % (25025)Time elapsed: 0.036 s
% 0.13/0.40 % (25025)Instructions burned: 62 (million)
% 0.13/0.40 % (25019)Success in time 0.038 s
%------------------------------------------------------------------------------