TSTP Solution File: SET191-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET191-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 : Sun May 5 09:12:43 EDT 2024
% Result : Unsatisfiable 18.42s 3.00s
% Output : Refutation 18.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 9 unt; 0 def)
% Number of atoms : 55 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 67 ( 38 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37114,plain,
$false,
inference(resolution,[],[f37071,f114]) ).
fof(f114,axiom,
~ subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property8_2) ).
fof(f37071,plain,
subclass(x,y),
inference(resolution,[],[f37059,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f37059,plain,
! [X0] : ~ member(not_subclass_element(x,y),X0),
inference(resolution,[],[f37054,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f37054,plain,
! [X0] :
( ~ subclass(X0,universal_class)
| ~ member(not_subclass_element(x,y),X0) ),
inference(resolution,[],[f37022,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f37022,plain,
~ member(not_subclass_element(x,y),universal_class),
inference(resolution,[],[f37016,f114]) ).
fof(f37016,plain,
( subclass(x,y)
| ~ member(not_subclass_element(x,y),universal_class) ),
inference(resolution,[],[f36956,f2]) ).
fof(f36956,plain,
( ~ member(not_subclass_element(x,y),x)
| ~ member(not_subclass_element(x,y),universal_class) ),
inference(resolution,[],[f36815,f124]) ).
fof(f124,plain,
~ member(not_subclass_element(x,y),y),
inference(resolution,[],[f3,f114]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f36815,plain,
! [X0] :
( member(X0,y)
| ~ member(X0,x)
| ~ member(X0,universal_class) ),
inference(duplicate_literal_removal,[],[f36795]) ).
fof(f36795,plain,
! [X0] :
( ~ member(X0,universal_class)
| ~ member(X0,x)
| member(X0,y)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f36652,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f36652,plain,
! [X0] :
( ~ member(X0,complement(y))
| ~ member(X0,universal_class)
| ~ member(X0,x) ),
inference(resolution,[],[f36649,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f36649,plain,
! [X0] :
( member(X0,complement(x))
| ~ member(X0,universal_class)
| ~ member(X0,complement(y)) ),
inference(duplicate_literal_removal,[],[f36629]) ).
fof(f36629,plain,
! [X0] :
( ~ member(X0,complement(y))
| ~ member(X0,universal_class)
| member(X0,complement(x))
| ~ member(X0,universal_class) ),
inference(resolution,[],[f34164,f25]) ).
fof(f34164,plain,
! [X0] :
( ~ member(X0,complement(complement(x)))
| ~ member(X0,complement(y))
| ~ member(X0,universal_class) ),
inference(superposition,[],[f4669,f113]) ).
fof(f113,axiom,
universal_class = union(complement(x),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property8_1) ).
fof(f4669,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X1,X2))
| ~ member(X0,complement(X2))
| ~ member(X0,complement(X1)) ),
inference(resolution,[],[f466,f23]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f466,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(complement(X0),complement(X1)))
| ~ member(X2,union(X0,X1)) ),
inference(superposition,[],[f24,f26]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET191-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.13/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n002.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 : Fri May 3 16:56:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (23921)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.36 % (23925)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (23924)WARNING: value z3 for option sas not known
% 0.21/0.37 % (23922)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (23923)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (23924)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)
% 0.21/0.37 % (23926)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)
% 0.21/0.37 % (23927)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)
% 0.21/0.37 % (23928)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)
% 0.21/0.40 TRYING [1]
% 0.21/0.41 TRYING [2]
% 0.21/0.48 TRYING [3]
% 0.21/0.48 TRYING [1]
% 0.21/0.49 TRYING [2]
% 1.69/0.58 TRYING [3]
% 1.69/0.58 TRYING [4]
% 3.83/0.90 TRYING [5]
% 6.03/1.20 TRYING [4]
% 7.92/1.47 TRYING [1]
% 7.92/1.47 TRYING [2]
% 7.92/1.48 TRYING [3]
% 8.40/1.53 TRYING [4]
% 8.97/1.67 TRYING [5]
% 12.67/2.16 TRYING [6]
% 12.67/2.21 TRYING [6]
% 18.42/2.99 % (23927)First to succeed.
% 18.42/2.99 % (23927)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23921"
% 18.42/3.00 vampire: malloc.c:2617: sysmalloc: Assertion `(old_top == initial_top (av) && old_size == 0) || ((unsigned long) (old_size) >= MINSIZE && prev_inuse (old_top) && ((unsigned long) old_end & (pagesize - 1)) == 0)' failed.
% 18.42/3.00 23924 Aborted by signal SIGABRT on /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.42/3.00 % (23924)------------------------------
% 18.42/3.00 % (23924)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 18.42/3.00 % (23924)Termination reason: Unknown
% 18.42/3.00 % (23924)Termination phase: Saturation
% 18.42/3.00
% 18.42/3.00 % (23924)Memory used [KB]: 55377
% 18.42/3.00 % (23924)Time elapsed: 2.630 s
% 18.42/3.00 % (23924)Instructions burned: 6547 (million)
% 18.42/3.00 % (23927)Refutation found. Thanks to Tanya!
% 18.42/3.00 % SZS status Unsatisfiable for theBenchmark
% 18.42/3.00 % SZS output start Proof for theBenchmark
% See solution above
% 18.42/3.00 % (23927)------------------------------
% 18.42/3.00 % (23927)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 18.42/3.00 % (23927)Termination reason: Refutation
% 18.42/3.00
% 18.42/3.00 % (23927)Memory used [KB]: 25562
% 18.42/3.00 % (23927)Time elapsed: 2.626 s
% 18.42/3.00 % (23927)Instructions burned: 7238 (million)
% 18.42/3.00 % (23924)------------------------------
% 18.42/3.00 % (23924)------------------------------
% 18.42/3.00 Version : Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
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% 18.42/3.00 % (23921)Success in time 2.587 s
%------------------------------------------------------------------------------