TSTP Solution File: SET189-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET189-6 : 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 : n004.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 2.88s 0.74s
% Output : Refutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 25 ( 16 unt; 0 def)
% Number of atoms : 38 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 13 |; 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17955,plain,
$false,
inference(subsumption_resolution,[],[f17954,f17762]) ).
fof(f17762,plain,
~ member(not_subclass_element(x,null_class),null_class),
inference(superposition,[],[f1773,f17712]) ).
fof(f17712,plain,
null_class = y,
inference(unit_resulting_resolution,[],[f17687,f3115]) ).
fof(f3115,plain,
( ~ member(not_subclass_element(x,y),null_class)
| null_class = y ),
inference(superposition,[],[f1777,f67]) ).
fof(f67,axiom,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).
fof(f1777,plain,
! [X0] : ~ member(not_subclass_element(x,y),intersection(y,X0)),
inference(unit_resulting_resolution,[],[f1773,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f17687,plain,
member(not_subclass_element(x,y),null_class),
inference(forward_demodulation,[],[f16670,f113]) ).
fof(f113,axiom,
null_class = intersection(complement(y),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_subclass_property6_1) ).
fof(f16670,plain,
member(not_subclass_element(x,y),intersection(complement(y),x)),
inference(unit_resulting_resolution,[],[f7714,f1774,f23]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( ~ member(X4,X0)
| ~ member(X4,X1)
| member(X4,intersection(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f1774,plain,
member(not_subclass_element(x,y),x),
inference(unit_resulting_resolution,[],[f1755,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(f1755,plain,
~ subclass(x,y),
inference(unit_resulting_resolution,[],[f115,f114,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f114,axiom,
subclass(y,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_subclass_property6_2) ).
fof(f115,axiom,
y != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_subclass_property6_3) ).
fof(f7714,plain,
member(not_subclass_element(x,y),complement(y)),
inference(unit_resulting_resolution,[],[f1773,f1779,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( ~ member(X4,universal_class)
| member(X4,X0)
| member(X4,complement(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f1779,plain,
member(not_subclass_element(x,y),universal_class),
inference(unit_resulting_resolution,[],[f4,f1774,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f1773,plain,
~ member(not_subclass_element(x,y),y),
inference(unit_resulting_resolution,[],[f1755,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f17954,plain,
member(not_subclass_element(x,null_class),null_class),
inference(superposition,[],[f17687,f17712]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SET189-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n004.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 17:06:08 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % (20638)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (20641)WARNING: value z3 for option sas not known
% 0.16/0.33 % (20645)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)
% 0.16/0.33 % (20639)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (20640)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (20641)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)
% 0.16/0.33 % (20642)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (20643)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)
% 0.16/0.33 % (20644)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)
% 0.16/0.36 TRYING [1]
% 0.16/0.36 TRYING [2]
% 0.16/0.42 TRYING [3]
% 0.16/0.52 TRYING [1]
% 0.16/0.53 TRYING [2]
% 0.16/0.54 TRYING [4]
% 2.42/0.66 TRYING [3]
% 2.88/0.73 % (20645)First to succeed.
% 2.88/0.74 % (20645)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20638"
% 2.88/0.74 % (20645)Refutation found. Thanks to Tanya!
% 2.88/0.74 % SZS status Unsatisfiable for theBenchmark
% 2.88/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 2.88/0.74 % (20645)------------------------------
% 2.88/0.74 % (20645)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.88/0.74 % (20645)Termination reason: Refutation
% 2.88/0.74
% 2.88/0.74 % (20645)Memory used [KB]: 7435
% 2.88/0.74 % (20645)Time elapsed: 0.404 s
% 2.88/0.74 % (20645)Instructions burned: 797 (million)
% 2.88/0.74 % (20638)Success in time 0.408 s
%------------------------------------------------------------------------------