TSTP Solution File: SET245-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET245-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n025.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 : Fri Sep 1 22:36:03 EDT 2023
% Result : Unsatisfiable 0.22s 0.47s
% Output : Refutation 0.22s
% 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(f897,plain,
$false,
inference(resolution,[],[f891,f52]) ).
fof(f52,axiom,
member(omega,universal_class),
file('/export/starexec/sandbox/tmp/tmp.Z35ysCfZlI/Vampire---4.8_15870',omega_in_universal) ).
fof(f891,plain,
! [X0] : ~ member(X0,universal_class),
inference(resolution,[],[f856,f857]) ).
fof(f857,plain,
! [X0] : ~ member(X0,null_class),
inference(duplicate_literal_removal,[],[f844]) ).
fof(f844,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,null_class) ),
inference(superposition,[],[f24,f843]) ).
fof(f843,plain,
null_class = complement(null_class),
inference(trivial_inequality_removal,[],[f837]) ).
fof(f837,plain,
( null_class != null_class
| null_class = complement(null_class) ),
inference(superposition,[],[f113,f819]) ).
fof(f819,plain,
! [X2,X1] :
( null_class = restrict(null_class,X1,X2)
| null_class = complement(null_class) ),
inference(superposition,[],[f783,f28]) ).
fof(f28,axiom,
! [X0,X1,X5] : intersection(X5,cross_product(X0,X1)) = restrict(X5,X0,X1),
file('/export/starexec/sandbox/tmp/tmp.Z35ysCfZlI/Vampire---4.8_15870',restriction1) ).
fof(f783,plain,
! [X25] :
( null_class = intersection(null_class,X25)
| null_class = complement(null_class) ),
inference(resolution,[],[f124,f447]) ).
fof(f447,plain,
! [X0] :
( ~ member(X0,null_class)
| null_class = complement(null_class) ),
inference(factoring,[],[f231]) ).
fof(f231,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| ~ member(X0,X1)
| complement(X1) = null_class ),
inference(resolution,[],[f206,f24]) ).
fof(f206,plain,
! [X4,X5] :
( member(X5,X4)
| ~ member(X5,null_class)
| null_class = X4 ),
inference(superposition,[],[f21,f67]) ).
fof(f67,axiom,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
file('/export/starexec/sandbox/tmp/tmp.Z35ysCfZlI/Vampire---4.8_15870',regularity2) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/tmp/tmp.Z35ysCfZlI/Vampire---4.8_15870',intersection1) ).
fof(f124,plain,
! [X2,X3] :
( member(regular(intersection(X2,X3)),X2)
| null_class = intersection(X2,X3) ),
inference(resolution,[],[f21,f66]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/tmp/tmp.Z35ysCfZlI/Vampire---4.8_15870',regularity1) ).
fof(f113,axiom,
null_class != restrict(null_class,x,y),
file('/export/starexec/sandbox/tmp/tmp.Z35ysCfZlI/Vampire---4.8_15870',prove_restriction_with_null_class1_1) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/tmp/tmp.Z35ysCfZlI/Vampire---4.8_15870',complement1) ).
fof(f856,plain,
! [X1] :
( member(X1,null_class)
| ~ member(X1,universal_class) ),
inference(duplicate_literal_removal,[],[f845]) ).
fof(f845,plain,
! [X1] :
( member(X1,null_class)
| member(X1,null_class)
| ~ member(X1,universal_class) ),
inference(superposition,[],[f25,f843]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox/tmp/tmp.Z35ysCfZlI/Vampire---4.8_15870',complement2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET245-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n025.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 : Wed Aug 30 16:01:26 EDT 2023
% 0.21/0.35 % CPUTime :
% 0.21/0.41 % (16133)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (16153)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.42 % (16152)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.42 % (16155)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.42 % (16154)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 Vampire---4 for (569ds/0Mi)
% 0.21/0.42 % (16156)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 Vampire---4 for (531ds/0Mi)
% 0.21/0.42 % (16157)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 Vampire---4 for (522ds/0Mi)
% 0.21/0.42 % (16159)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 Vampire---4 for (497ds/0Mi)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.45 TRYING [3]
% 0.22/0.46 TRYING [1]
% 0.22/0.46 TRYING [2]
% 0.22/0.47 % (16157)First to succeed.
% 0.22/0.47 % (16157)Refutation found. Thanks to Tanya!
% 0.22/0.47 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.47 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.47 % (16157)------------------------------
% 0.22/0.47 % (16157)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.47 % (16157)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.47 % (16157)Termination reason: Refutation
% 0.22/0.47
% 0.22/0.47 % (16157)Memory used [KB]: 2046
% 0.22/0.47 % (16157)Time elapsed: 0.049 s
% 0.22/0.47 % (16157)------------------------------
% 0.22/0.47 % (16157)------------------------------
% 0.22/0.47 % (16133)Success in time 0.111 s
% 0.22/0.47 16154 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.Z35ysCfZlI/Vampire---4.8_15870
% 0.22/0.47 % (16154)------------------------------
% 0.22/0.47 % (16154)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.47 % (16154)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.47 % (16154)Termination reason: Unknown
% 0.22/0.47 % (16154)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (16154)Memory used [KB]: 5500
% 0.22/0.47 % (16154)Time elapsed: 0.052 s
% 0.22/0.47 % (16154)------------------------------
% 0.22/0.47 % (16154)------------------------------
% 0.22/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------