TSTP Solution File: SET194-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET194-6 : 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 : n017.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 09:12:44 EDT 2024
% Result : Unsatisfiable 18.65s 3.01s
% Output : Refutation 18.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 36 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 16 |; 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 : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42156,plain,
$false,
inference(resolution,[],[f42099,f113]) ).
fof(f113,axiom,
~ subclass(x,union(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lattice_upper_bound1_1) ).
fof(f42099,plain,
subclass(x,union(x,y)),
inference(resolution,[],[f42003,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(f42003,plain,
! [X0] : ~ member(not_subclass_element(x,union(x,y)),X0),
inference(resolution,[],[f41990,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f41990,plain,
! [X0] :
( ~ subclass(X0,universal_class)
| ~ member(not_subclass_element(x,union(x,y)),X0) ),
inference(resolution,[],[f41973,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(f41973,plain,
~ member(not_subclass_element(x,union(x,y)),universal_class),
inference(resolution,[],[f41959,f113]) ).
fof(f41959,plain,
( subclass(x,union(x,y))
| ~ member(not_subclass_element(x,union(x,y)),universal_class) ),
inference(resolution,[],[f41953,f2]) ).
fof(f41953,plain,
( ~ member(not_subclass_element(x,union(x,y)),x)
| ~ member(not_subclass_element(x,union(x,y)),universal_class) ),
inference(resolution,[],[f19513,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f19513,plain,
( member(not_subclass_element(x,union(x,y)),complement(x))
| ~ member(not_subclass_element(x,union(x,y)),universal_class) ),
inference(resolution,[],[f5990,f123]) ).
fof(f123,plain,
~ member(not_subclass_element(x,union(x,y)),union(x,y)),
inference(resolution,[],[f3,f113]) ).
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(f5990,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,universal_class)
| member(X0,complement(X1)) ),
inference(resolution,[],[f275,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f275,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
% 0.03/0.12 % Problem : SET194-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n017.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 : Fri May 3 16:39:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (11714)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (11717)WARNING: value z3 for option sas not known
% 0.21/0.38 % (11715)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (11716)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (11719)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)
% 0.21/0.38 % (11720)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)
% 0.21/0.38 % (11717)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)
% 0.21/0.38 % (11721)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)
% 0.21/0.38 % (11718)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.41 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.49 TRYING [3]
% 1.37/0.55 TRYING [1]
% 1.37/0.55 TRYING [2]
% 2.01/0.63 TRYING [4]
% 2.28/0.68 TRYING [3]
% 4.11/0.95 TRYING [5]
% 6.35/1.29 TRYING [4]
% 7.89/1.49 TRYING [1]
% 7.89/1.49 TRYING [2]
% 7.89/1.50 TRYING [3]
% 8.30/1.55 TRYING [4]
% 9.31/1.69 TRYING [5]
% 12.12/2.12 TRYING [6]
% 16.15/2.65 TRYING [6]
% 18.21/3.00 % (11720)First to succeed.
% 18.21/3.01 % (11720)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11714"
% 18.65/3.01 % (11720)Refutation found. Thanks to Tanya!
% 18.65/3.01 % SZS status Unsatisfiable for theBenchmark
% 18.65/3.01 % SZS output start Proof for theBenchmark
% See solution above
% 18.65/3.01 % (11720)------------------------------
% 18.65/3.01 % (11720)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 18.65/3.01 % (11720)Termination reason: Refutation
% 18.65/3.01
% 18.65/3.01 % (11720)Memory used [KB]: 25205
% 18.65/3.01 % (11720)Time elapsed: 2.629 s
% 18.65/3.01 % (11720)Instructions burned: 7344 (million)
% 18.65/3.01 % (11714)Success in time 2.615 s
%------------------------------------------------------------------------------