TSTP Solution File: SET195-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET195-6 : 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 15:07:08 EDT 2024
% Result : Unsatisfiable 30.11s 4.68s
% Output : Refutation 30.11s
% 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(f42056,plain,
$false,
inference(resolution,[],[f42000,f113]) ).
fof(f113,axiom,
~ subclass(y,union(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lattice_upper_bound2_1) ).
fof(f42000,plain,
subclass(y,union(x,y)),
inference(resolution,[],[f41983,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f41983,plain,
! [X0] : ~ member(not_subclass_element(y,union(x,y)),X0),
inference(resolution,[],[f41970,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f41970,plain,
! [X0] :
( ~ subclass(X0,universal_class)
| ~ member(not_subclass_element(y,union(x,y)),X0) ),
inference(resolution,[],[f41953,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f41953,plain,
~ member(not_subclass_element(y,union(x,y)),universal_class),
inference(resolution,[],[f41939,f113]) ).
fof(f41939,plain,
( subclass(y,union(x,y))
| ~ member(not_subclass_element(y,union(x,y)),universal_class) ),
inference(resolution,[],[f41933,f2]) ).
fof(f41933,plain,
( ~ member(not_subclass_element(y,union(x,y)),y)
| ~ member(not_subclass_element(y,union(x,y)),universal_class) ),
inference(resolution,[],[f19343,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f19343,plain,
( member(not_subclass_element(y,union(x,y)),complement(y))
| ~ member(not_subclass_element(y,union(x,y)),universal_class) ),
inference(resolution,[],[f5989,f123]) ).
fof(f123,plain,
~ member(not_subclass_element(y,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/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f5989,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,universal_class)
| member(X0,complement(X2)) ),
inference(resolution,[],[f275,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
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/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET195-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 30 01:17:04 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % (1665)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.35 % (1668)WARNING: value z3 for option sas not known
% 0.13/0.35 % (1667)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.35 % (1669)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.35 % (1671)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)
% 0.13/0.35 % (1666)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.35 % (1670)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)
% 0.13/0.35 % (1672)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)
% 0.13/0.35 % (1668)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)
% 0.18/0.38 TRYING [1]
% 0.18/0.39 TRYING [2]
% 0.18/0.45 TRYING [3]
% 1.42/0.54 TRYING [1]
% 1.42/0.54 TRYING [2]
% 1.56/0.59 TRYING [4]
% 2.16/0.67 TRYING [3]
% 5.10/1.06 TRYING [5]
% 7.72/1.46 TRYING [1]
% 7.72/1.46 TRYING [2]
% 7.97/1.47 TRYING [3]
% 8.43/1.54 TRYING [4]
% 9.49/1.70 TRYING [4]
% 9.95/1.76 TRYING [5]
% 14.82/2.47 TRYING [6]
% 21.30/3.42 TRYING [6]
% 29.53/4.55 TRYING [7]
% 30.11/4.66 % (1671)First to succeed.
% 30.11/4.68 % (1671)Refutation found. Thanks to Tanya!
% 30.11/4.68 % SZS status Unsatisfiable for theBenchmark
% 30.11/4.68 % SZS output start Proof for theBenchmark
% See solution above
% 30.11/4.68 % (1671)------------------------------
% 30.11/4.68 % (1671)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 30.11/4.68 % (1671)Termination reason: Refutation
% 30.11/4.68
% 30.11/4.68 % (1671)Memory used [KB]: 25195
% 30.11/4.68 % (1671)Time elapsed: 4.320 s
% 30.11/4.68 % (1671)Instructions burned: 7324 (million)
% 30.11/4.68 % (1671)------------------------------
% 30.11/4.68 % (1671)------------------------------
% 30.11/4.68 % (1665)Success in time 4.319 s
%------------------------------------------------------------------------------