TSTP Solution File: SET186-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET186-6 : 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 : n013.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 Apr 30 15:07:06 EDT 2024
% Result : Unsatisfiable 8.78s 1.68s
% Output : Refutation 8.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 41 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 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 : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23132,plain,
$false,
inference(resolution,[],[f23087,f114]) ).
fof(f114,axiom,
~ subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property4_2) ).
fof(f23087,plain,
subclass(x,y),
inference(resolution,[],[f23076,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(f23076,plain,
! [X0] : ~ member(not_subclass_element(x,y),X0),
inference(resolution,[],[f23069,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f23069,plain,
! [X0] :
( ~ subclass(X0,universal_class)
| ~ member(not_subclass_element(x,y),X0) ),
inference(resolution,[],[f23031,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(f23031,plain,
~ member(not_subclass_element(x,y),universal_class),
inference(resolution,[],[f23023,f114]) ).
fof(f23023,plain,
( subclass(x,y)
| ~ member(not_subclass_element(x,y),universal_class) ),
inference(resolution,[],[f22971,f2]) ).
fof(f22971,plain,
( ~ member(not_subclass_element(x,y),x)
| ~ member(not_subclass_element(x,y),universal_class) ),
inference(resolution,[],[f22676,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(f22676,plain,
! [X0] :
( member(X0,y)
| ~ member(X0,universal_class)
| ~ member(X0,x) ),
inference(resolution,[],[f22673,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f22673,plain,
! [X0] :
( member(X0,complement(x))
| ~ member(X0,universal_class)
| member(X0,y) ),
inference(superposition,[],[f6887,f113]) ).
fof(f113,axiom,
y = union(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property4_1) ).
fof(f6887,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,universal_class)
| member(X0,complement(X1)) ),
inference(resolution,[],[f463,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f463,plain,
! [X2,X0,X1] :
( member(X2,intersection(complement(X0),complement(X1)))
| member(X2,union(X0,X1))
| ~ member(X2,universal_class) ),
inference(superposition,[],[f25,f26]) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
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
% 0.08/0.13 % Problem : SET186-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 01:16:04 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (29994)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (29998)WARNING: value z3 for option sas not known
% 0.15/0.39 % (29999)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (29996)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (29997)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (30001)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)
% 0.15/0.39 % (30002)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)
% 0.15/0.39 % (30000)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)
% 0.15/0.39 % (29998)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)
% 0.22/0.42 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.50 TRYING [3]
% 0.22/0.56 TRYING [1]
% 0.22/0.56 TRYING [2]
% 1.65/0.59 TRYING [4]
% 1.96/0.65 TRYING [3]
% 3.61/0.87 TRYING [5]
% 6.15/1.26 TRYING [4]
% 8.01/1.49 TRYING [1]
% 8.01/1.49 TRYING [2]
% 8.01/1.51 TRYING [3]
% 8.27/1.55 TRYING [4]
% 8.78/1.67 % (30001)First to succeed.
% 8.78/1.67 TRYING [5]
% 8.78/1.68 % (30001)Refutation found. Thanks to Tanya!
% 8.78/1.68 % SZS status Unsatisfiable for theBenchmark
% 8.78/1.68 % SZS output start Proof for theBenchmark
% See solution above
% 8.78/1.68 % (30001)------------------------------
% 8.78/1.68 % (30001)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 8.78/1.68 % (30001)Termination reason: Refutation
% 8.78/1.68
% 8.78/1.68 % (30001)Memory used [KB]: 16882
% 8.78/1.68 % (30001)Time elapsed: 1.285 s
% 8.78/1.68 % (30001)Instructions burned: 3712 (million)
% 8.78/1.68 % (30001)------------------------------
% 8.78/1.68 % (30001)------------------------------
% 8.78/1.68 % (29994)Success in time 1.275 s
%------------------------------------------------------------------------------