TSTP Solution File: SWB017+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWB017+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 09:46:40 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 97 ( 5 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 107 ( 38 ~; 30 |; 32 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 58 ( 50 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,plain,
$false,
inference(unit_resulting_resolution,[],[f38,f36,f20,f26]) ).
fof(f26,plain,
! [X0,X1,X4,X5] :
( ~ iext(X0,X4,X5)
| ~ iext(X1,X4,X5)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( iext(X0,sK1(X0,X1),sK2(X0,X1))
& iext(X1,sK1(X0,X1),sK2(X0,X1)) )
| ~ ip(X0)
| ~ ip(X1) )
& ( ( ! [X4,X5] :
( ~ iext(X0,X4,X5)
| ~ iext(X1,X4,X5) )
& ip(X0)
& ip(X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f14,f15]) ).
fof(f15,plain,
! [X0,X1] :
( ? [X2,X3] :
( iext(X0,X2,X3)
& iext(X1,X2,X3) )
=> ( iext(X0,sK1(X0,X1),sK2(X0,X1))
& iext(X1,sK1(X0,X1),sK2(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2,X3] :
( iext(X0,X2,X3)
& iext(X1,X2,X3) )
| ~ ip(X0)
| ~ ip(X1) )
& ( ( ! [X4,X5] :
( ~ iext(X0,X4,X5)
| ~ iext(X1,X4,X5) )
& ip(X0)
& ip(X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ? [X2,X3] :
( iext(X1,X2,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( ~ iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ sP0(X1,X0) ) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ? [X2,X3] :
( iext(X1,X2,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( ~ iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ( ! [X2,X3] :
( ~ iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f20,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c)
& iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_017_Built_in_Based_Definitions) ).
fof(f36,plain,
iext(uri_ex_notInstanceOf,uri_ex_w,uri_ex_c),
inference(superposition,[],[f21,f32]) ).
fof(f32,plain,
uri_ex_w = uri_ex_u,
inference(unit_resulting_resolution,[],[f18,f23]) ).
fof(f23,plain,
! [X0,X1] :
( iext(uri_owl_differentFrom,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( ( iext(uri_owl_differentFrom,X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ iext(uri_owl_differentFrom,X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( iext(uri_owl_differentFrom,X0,X1)
<=> X0 != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).
fof(f18,plain,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(flattening,[],[f4]) ).
fof(f4,negated_conjecture,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_017_Built_in_Based_Definitions) ).
fof(f21,plain,
iext(uri_ex_notInstanceOf,uri_ex_u,uri_ex_c),
inference(cnf_transformation,[],[f5]) ).
fof(f38,plain,
sP0(uri_rdf_type,uri_ex_notInstanceOf),
inference(unit_resulting_resolution,[],[f19,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ iext(uri_owl_propertyDisjointWith,X0,X1)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( iext(uri_owl_propertyDisjointWith,X0,X1)
| ~ sP0(X1,X0) )
& ( sP0(X1,X0)
| ~ iext(uri_owl_propertyDisjointWith,X0,X1) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( iext(uri_owl_propertyDisjointWith,X0,X1)
<=> sP0(X1,X0) ),
inference(definition_folding,[],[f8,f9]) ).
fof(f8,plain,
! [X0,X1] :
( iext(uri_owl_propertyDisjointWith,X0,X1)
<=> ( ! [X2,X3] :
( ~ iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0,X1] :
( iext(uri_owl_propertyDisjointWith,X0,X1)
<=> ( ! [X2,X3] :
~ ( iext(X1,X2,X3)
& iext(X0,X2,X3) )
& ip(X1)
& ip(X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X3] :
( iext(uri_owl_propertyDisjointWith,X2,X3)
<=> ( ! [X0,X1] :
~ ( iext(X3,X0,X1)
& iext(X2,X0,X1) )
& ip(X3)
& ip(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).
fof(f19,plain,
iext(uri_owl_propertyDisjointWith,uri_ex_notInstanceOf,uri_rdf_type),
inference(cnf_transformation,[],[f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWB017+2 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 18:42:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (5102)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (5105)WARNING: value z3 for option sas not known
% 0.14/0.38 % (5103)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (5106)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (5104)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (5105)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)
% 0.14/0.38 % (5107)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)
% 0.14/0.38 % (5109)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)
% 0.14/0.38 % (5108)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (5109)First to succeed.
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (5108)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [1]
% 0.14/0.38 % (5109)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5102"
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (5107)Also succeeded, but the first one will report.
% 0.14/0.38 % (5105)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (5109)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (5109)------------------------------
% 0.14/0.38 % (5109)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (5109)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (5109)Memory used [KB]: 758
% 0.14/0.38 % (5109)Time elapsed: 0.004 s
% 0.14/0.38 % (5109)Instructions burned: 4 (million)
% 0.14/0.38 % (5102)Success in time 0.02 s
%------------------------------------------------------------------------------