TSTP Solution File: SET098-7 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET098-7 : 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 : n009.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 15:05:39 EDT 2024
% Result : Unsatisfiable 3.87s 1.00s
% Output : Refutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 27 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 8 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10139,plain,
$false,
inference(trivial_inequality_removal,[],[f10138]) ).
fof(f10138,plain,
null_class != null_class,
inference(superposition,[],[f144,f8511]) ).
fof(f8511,plain,
null_class = x,
inference(trivial_inequality_removal,[],[f8407]) ).
fof(f8407,plain,
( x != x
| null_class = x ),
inference(superposition,[],[f143,f8402]) ).
fof(f8402,plain,
( x = singleton(not_subclass_element(x,null_class))
| null_class = x ),
inference(resolution,[],[f5458,f103]) ).
fof(f103,axiom,
! [X4] : ~ member(X4,null_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_null_class) ).
fof(f5458,plain,
( member(not_subclass_element(null_class,null_class),null_class)
| x = singleton(not_subclass_element(x,null_class))
| null_class = x ),
inference(superposition,[],[f141,f4943]) ).
fof(f4943,plain,
null_class = intersection(complement(singleton(not_subclass_element(x,null_class))),x),
inference(resolution,[],[f4897,f105]) ).
fof(f105,axiom,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_of_null_class_is_subclass) ).
fof(f4897,plain,
subclass(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),
inference(resolution,[],[f201,f142]) ).
fof(f142,axiom,
~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_number_of_elements_in_class_1) ).
fof(f201,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f22,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(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f141,axiom,
! [X0] :
( member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X0,null_class))),X0),null_class),intersection(complement(singleton(not_subclass_element(X0,null_class))),X0))
| singleton(not_subclass_element(X0,null_class)) = X0
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',number_of_elements_in_class) ).
fof(f143,axiom,
x != singleton(not_subclass_element(x,null_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_number_of_elements_in_class_2) ).
fof(f144,axiom,
null_class != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_number_of_elements_in_class_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.19 % Problem : SET098-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.21 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.42 % Computer : n009.cluster.edu
% 0.12/0.42 % Model : x86_64 x86_64
% 0.12/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.42 % Memory : 8042.1875MB
% 0.12/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.43 % CPULimit : 300
% 0.12/0.43 % WCLimit : 300
% 0.12/0.43 % DateTime : Tue Apr 30 01:09:41 EDT 2024
% 0.12/0.43 % CPUTime :
% 0.12/0.43 % (4814)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.45 % (4817)WARNING: value z3 for option sas not known
% 0.12/0.45 % (4816)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.45 % (4818)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.45 % (4821)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)
% 0.12/0.45 % (4817)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)
% 0.12/0.45 % (4820)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)
% 0.12/0.45 % (4819)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)
% 0.12/0.45 % (4815)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.50 TRYING [1]
% 0.18/0.50 TRYING [2]
% 0.97/0.57 TRYING [3]
% 0.97/0.62 TRYING [1]
% 0.97/0.62 TRYING [2]
% 1.77/0.70 TRYING [4]
% 2.20/0.75 TRYING [3]
% 3.87/0.99 TRYING [1]
% 3.87/0.99 TRYING [2]
% 3.87/1.00 % (4820)First to succeed.
% 3.87/1.00 % (4820)Refutation found. Thanks to Tanya!
% 3.87/1.00 % SZS status Unsatisfiable for theBenchmark
% 3.87/1.00 % SZS output start Proof for theBenchmark
% See solution above
% 3.87/1.00 % (4820)------------------------------
% 3.87/1.00 % (4820)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.87/1.00 % (4820)Termination reason: Refutation
% 3.87/1.00
% 3.87/1.00 % (4820)Memory used [KB]: 5101
% 3.87/1.00 % (4820)Time elapsed: 0.555 s
% 3.87/1.00 % (4820)Instructions burned: 1003 (million)
% 3.87/1.00 % (4820)------------------------------
% 3.87/1.00 % (4820)------------------------------
% 3.87/1.00 % (4814)Success in time 0.561 s
%------------------------------------------------------------------------------