TSTP Solution File: SET067-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET067-6 : 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 : n001.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 22:18:54 EDT 2023
% Result : Unsatisfiable 0.22s 0.46s
% Output : Refutation 0.22s
% 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(f551,plain,
$false,
inference(resolution,[],[f533,f500]) ).
fof(f500,plain,
~ subclass(null_class,unordered_pair(x,y)),
inference(backward_demodulation,[],[f92,f493]) ).
fof(f493,plain,
null_class = singleton(x),
inference(resolution,[],[f481,f312]) ).
fof(f312,plain,
! [X2] :
( member(X2,singleton(X2))
| null_class = singleton(X2) ),
inference(duplicate_literal_removal,[],[f311]) ).
fof(f311,plain,
! [X2] :
( member(X2,singleton(X2))
| null_class = singleton(X2)
| null_class = singleton(X2) ),
inference(superposition,[],[f66,f297]) ).
fof(f297,plain,
! [X3] :
( regular(singleton(X3)) = X3
| null_class = singleton(X3) ),
inference(resolution,[],[f293,f66]) ).
fof(f293,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f292]) ).
fof(f292,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/tmp/tmp.5CRjLB2BI1/Vampire---4.8_12481',singleton_set) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox2/tmp/tmp.5CRjLB2BI1/Vampire---4.8_12481',unordered_pair_member) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox2/tmp/tmp.5CRjLB2BI1/Vampire---4.8_12481',regularity1) ).
fof(f481,plain,
! [X0] : ~ member(x,X0),
inference(resolution,[],[f466,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/tmp/tmp.5CRjLB2BI1/Vampire---4.8_12481',class_elements_are_sets) ).
fof(f466,plain,
! [X0] :
( ~ subclass(X0,universal_class)
| ~ member(x,X0) ),
inference(resolution,[],[f462,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.5CRjLB2BI1/Vampire---4.8_12481',subclass_members) ).
fof(f462,plain,
~ member(x,universal_class),
inference(resolution,[],[f446,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/tmp/tmp.5CRjLB2BI1/Vampire---4.8_12481',unordered_pair2) ).
fof(f446,plain,
~ member(x,unordered_pair(x,y)),
inference(backward_demodulation,[],[f100,f442]) ).
fof(f442,plain,
x = not_subclass_element(singleton(x),unordered_pair(x,y)),
inference(resolution,[],[f298,f92]) ).
fof(f298,plain,
! [X4,X5] :
( subclass(singleton(X4),X5)
| not_subclass_element(singleton(X4),X5) = X4 ),
inference(resolution,[],[f293,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.5CRjLB2BI1/Vampire---4.8_12481',not_subclass_members1) ).
fof(f100,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/tmp/tmp.5CRjLB2BI1/Vampire---4.8_12481',not_subclass_members2) ).
fof(f92,axiom,
~ subclass(singleton(x),unordered_pair(x,y)),
file('/export/starexec/sandbox2/tmp/tmp.5CRjLB2BI1/Vampire---4.8_12481',prove_singleton_in_unordered_pair1_1) ).
fof(f533,plain,
! [X0] : subclass(null_class,X0),
inference(resolution,[],[f532,f2]) ).
fof(f532,plain,
! [X0] : ~ member(X0,null_class),
inference(duplicate_literal_removal,[],[f519]) ).
fof(f519,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,null_class) ),
inference(superposition,[],[f24,f516]) ).
fof(f516,plain,
null_class = complement(null_class),
inference(resolution,[],[f500,f421]) ).
fof(f421,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = complement(null_class) ),
inference(resolution,[],[f414,f2]) ).
fof(f414,plain,
! [X0] :
( ~ member(X0,null_class)
| null_class = complement(null_class) ),
inference(factoring,[],[f190]) ).
fof(f190,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| ~ member(X0,X1)
| complement(X1) = null_class ),
inference(resolution,[],[f180,f24]) ).
fof(f180,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/sandbox2/tmp/tmp.5CRjLB2BI1/Vampire---4.8_12481',regularity2) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.5CRjLB2BI1/Vampire---4.8_12481',intersection1) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.5CRjLB2BI1/Vampire---4.8_12481',complement1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET067-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n001.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Wed Aug 30 16:16:55 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.43 % (12793)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (12806)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.43 % (12807)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.43 % (12809)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43 % (12808)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)
% 0.22/0.43 % (12810)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)
% 0.22/0.43 % (12811)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)
% 0.22/0.43 % (12812)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)
% 0.22/0.44 TRYING [1]
% 0.22/0.44 TRYING [2]
% 0.22/0.46 TRYING [1]
% 0.22/0.46 TRYING [3]
% 0.22/0.46 % (12811)First to succeed.
% 0.22/0.46 TRYING [2]
% 0.22/0.46 % (12811)Refutation found. Thanks to Tanya!
% 0.22/0.46 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.46 % (12811)------------------------------
% 0.22/0.46 % (12811)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.46 % (12811)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.46 % (12811)Termination reason: Refutation
% 0.22/0.46
% 0.22/0.46 % (12811)Memory used [KB]: 1535
% 0.22/0.46 % (12811)Time elapsed: 0.028 s
% 0.22/0.46 % (12811)------------------------------
% 0.22/0.46 % (12811)------------------------------
% 0.22/0.46 % (12793)Success in time 0.09 s
% 0.22/0.46 12808 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.5CRjLB2BI1/Vampire---4.8_12481
% 0.22/0.46 % (12808)------------------------------
% 0.22/0.46 % (12808)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.46 % (12808)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.46 % (12808)Termination reason: Unknown
% 0.22/0.46 % (12808)Termination phase: Saturation
% 0.22/0.46
% 0.22/0.46 % (12808)Memory used [KB]: 5373
% 0.22/0.46 % (12808)Time elapsed: 0.033 s
% 0.22/0.46 % (12808)------------------------------
% 0.22/0.46 % (12808)------------------------------
% 0.22/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------