TSTP Solution File: SWB026+2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWB026+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n028.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 : Wed Aug 31 18:37:27 EDT 2022
% Result : Theorem 1.62s 0.57s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 72 ( 17 unt; 0 def)
% Number of atoms : 204 ( 18 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 206 ( 74 ~; 77 |; 28 &)
% ( 21 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-1 aty)
% Number of variables : 87 ( 79 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f356,plain,
$false,
inference(avatar_sat_refutation,[],[f121,f126,f128,f131,f308,f334,f355]) ).
fof(f355,plain,
( ~ spl8_10
| spl8_12
| ~ spl8_11
| ~ spl8_13
| ~ spl8_51 ),
inference(avatar_split_clause,[],[f354,f332,f123,f114,f118,f110]) ).
fof(f110,plain,
( spl8_10
<=> ip(uri_ex_p) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).
fof(f118,plain,
( spl8_12
<=> icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).
fof(f114,plain,
( spl8_11
<=> icext(sK4,sK1(uri_ex_p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_11])]) ).
fof(f123,plain,
( spl8_13
<=> icext(sK4,sK2(uri_ex_p)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_13])]) ).
fof(f332,plain,
( spl8_51
<=> ! [X2,X3] :
( X2 = X3
| ~ iext(uri_rdf_first,sK6,X2)
| ~ icext(sK4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_51])]) ).
fof(f354,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p)
| ~ spl8_11
| ~ spl8_13
| ~ spl8_51 ),
inference(trivial_inequality_removal,[],[f353]) ).
fof(f353,plain,
( uri_ex_w != uri_ex_w
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p)
| ~ spl8_11
| ~ spl8_13
| ~ spl8_51 ),
inference(forward_demodulation,[],[f352,f340]) ).
fof(f340,plain,
( uri_ex_w = sK1(uri_ex_p)
| ~ spl8_11
| ~ spl8_51 ),
inference(resolution,[],[f339,f116]) ).
fof(f116,plain,
( icext(sK4,sK1(uri_ex_p))
| ~ spl8_11 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f339,plain,
( ! [X0] :
( ~ icext(sK4,X0)
| uri_ex_w = X0 )
| ~ spl8_51 ),
inference(resolution,[],[f333,f39]) ).
fof(f39,plain,
iext(uri_rdf_first,sK6,uri_ex_w),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
? [X1,X3,X0,X2] :
( iext(uri_rdf_first,X3,uri_ex_u)
& iext(uri_rdfs_range,uri_ex_p,X2)
& iext(uri_rdfs_domain,uri_ex_p,X1)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_owl_oneOf,X1,X0)
& iext(uri_owl_oneOf,X2,X3)
& iext(uri_rdf_first,X0,uri_ex_w) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
? [X11,X9,X10,X12] :
( iext(uri_rdf_rest,X12,uri_rdf_nil)
& iext(uri_owl_oneOf,X10,X12)
& iext(uri_rdf_first,X11,uri_ex_w)
& iext(uri_owl_oneOf,X9,X11)
& iext(uri_rdfs_range,uri_ex_p,X10)
& iext(uri_rdf_first,X12,uri_ex_u)
& iext(uri_rdfs_domain,uri_ex_p,X9)
& iext(uri_rdf_rest,X11,uri_rdf_nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).
fof(f333,plain,
( ! [X2,X3] :
( ~ iext(uri_rdf_first,sK6,X2)
| ~ icext(sK4,X3)
| X2 = X3 )
| ~ spl8_51 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f352,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p)
| uri_ex_w != sK1(uri_ex_p)
| ~ spl8_13
| ~ spl8_51 ),
inference(superposition,[],[f25,f341]) ).
fof(f341,plain,
( uri_ex_w = sK2(uri_ex_p)
| ~ spl8_13
| ~ spl8_51 ),
inference(resolution,[],[f339,f125]) ).
fof(f125,plain,
( icext(sK4,sK2(uri_ex_p))
| ~ spl8_13 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f25,plain,
! [X0] :
( sK1(X0) != sK2(X0)
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ( ip(X0)
& ! [X2,X1,X3] :
( X1 = X3
| ~ iext(X0,X3,X2)
| ~ iext(X0,X1,X2) ) )
<=> icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X2,X3,X1] :
( X1 = X3
| ~ iext(X0,X1,X2)
| ~ iext(X0,X3,X2) ) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X2,X3,X1] :
( ( iext(X0,X1,X2)
& iext(X0,X3,X2) )
=> X1 = X3 ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X7,X3,X8] :
( ( iext(X0,X7,X3)
& iext(X0,X8,X3) )
=> X7 = X8 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
fof(f334,plain,
( ~ spl8_45
| spl8_51 ),
inference(avatar_split_clause,[],[f324,f332,f294]) ).
fof(f294,plain,
( spl8_45
<=> iext(uri_rdf_rest,sK6,uri_rdf_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_45])]) ).
fof(f324,plain,
! [X2,X3] :
( X2 = X3
| ~ icext(sK4,X3)
| ~ iext(uri_rdf_first,sK6,X2)
| ~ iext(uri_rdf_rest,sK6,uri_rdf_nil) ),
inference(resolution,[],[f35,f41]) ).
fof(f41,plain,
iext(uri_owl_oneOf,sK4,sK6),
inference(cnf_transformation,[],[f13]) ).
fof(f35,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_oneOf,X0,X2)
| X1 = X3
| ~ iext(uri_rdf_first,X2,X1)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ icext(X0,X3) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ( iext(uri_owl_oneOf,X0,X2)
<=> ( ! [X3] :
( icext(X0,X3)
<=> X1 = X3 )
& ic(X0) ) )
| ~ iext(uri_rdf_first,X2,X1)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X2)
<=> ( ! [X3] :
( icext(X0,X3)
<=> X1 = X3 )
& ic(X0) ) )
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ( iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,X1) )
=> ( iext(uri_owl_oneOf,X0,X2)
<=> ( ! [X3] :
( icext(X0,X3)
<=> X1 = X3 )
& ic(X0) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X4,X6,X5] :
( ( iext(uri_rdf_rest,X5,uri_rdf_nil)
& iext(uri_rdf_first,X5,X6) )
=> ( ( ic(X4)
& ! [X1] :
( icext(X4,X1)
<=> X1 = X6 ) )
<=> iext(uri_owl_oneOf,X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f308,plain,
spl8_45,
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f307,plain,
( $false
| spl8_45 ),
inference(resolution,[],[f296,f42]) ).
fof(f42,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(cnf_transformation,[],[f13]) ).
fof(f296,plain,
( ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
| spl8_45 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f131,plain,
~ spl8_12,
inference(avatar_contradiction_clause,[],[f129]) ).
fof(f129,plain,
( $false
| ~ spl8_12 ),
inference(resolution,[],[f120,f50]) ).
fof(f50,plain,
~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(resolution,[],[f30,f28]) ).
fof(f28,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).
fof(f30,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X1,X0] :
( icext(X1,X0)
<=> iext(uri_rdf_type,X0,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X2] :
( iext(uri_rdf_type,X1,X2)
<=> icext(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f120,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f128,plain,
spl8_10,
inference(avatar_contradiction_clause,[],[f127]) ).
fof(f127,plain,
( $false
| spl8_10 ),
inference(resolution,[],[f112,f106]) ).
fof(f106,plain,
ip(uri_ex_p),
inference(resolution,[],[f90,f51]) ).
fof(f51,plain,
! [X0] :
( ~ icext(uri_rdf_Property,X0)
| ip(X0) ),
inference(resolution,[],[f30,f37]) ).
fof(f37,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,uri_rdf_Property)
| ip(X0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ip(X0)
<=> iext(uri_rdf_type,X0,uri_rdf_Property) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).
fof(f90,plain,
icext(uri_rdf_Property,uri_ex_p),
inference(resolution,[],[f69,f44]) ).
fof(f44,plain,
iext(uri_rdfs_domain,uri_ex_p,sK4),
inference(cnf_transformation,[],[f13]) ).
fof(f69,plain,
! [X0,X1] :
( ~ iext(uri_rdfs_domain,X0,X1)
| icext(uri_rdf_Property,X0) ),
inference(resolution,[],[f31,f27]) ).
fof(f27,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_domain) ).
fof(f31,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_domain,X0,X3)
| icext(X3,X1)
| ~ iext(X0,X1,X2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X2,X1,X3] :
( ~ iext(X0,X1,X2)
| icext(X3,X1)
| ~ iext(uri_rdfs_domain,X0,X3) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
! [X2,X0,X1,X3] :
( icext(X3,X1)
| ~ iext(uri_rdfs_domain,X0,X3)
| ~ iext(X0,X1,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X2,X0,X1,X3] :
( ( iext(uri_rdfs_domain,X0,X3)
& iext(X0,X1,X2) )
=> icext(X3,X1) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X3,X2] :
( ( iext(uri_rdfs_domain,X0,X2)
& iext(X0,X1,X3) )
=> icext(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).
fof(f112,plain,
( ~ ip(uri_ex_p)
| spl8_10 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f126,plain,
( ~ spl8_10
| spl8_12
| spl8_13 ),
inference(avatar_split_clause,[],[f108,f123,f118,f110]) ).
fof(f108,plain,
( icext(sK4,sK2(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(resolution,[],[f70,f24]) ).
fof(f24,plain,
! [X0] :
( iext(X0,sK2(X0),sK0(X0))
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f70,plain,
! [X2,X3] :
( ~ iext(uri_ex_p,X2,X3)
| icext(sK4,X2) ),
inference(resolution,[],[f31,f44]) ).
fof(f121,plain,
( ~ spl8_10
| spl8_11
| spl8_12 ),
inference(avatar_split_clause,[],[f107,f118,f114,f110]) ).
fof(f107,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| icext(sK4,sK1(uri_ex_p))
| ~ ip(uri_ex_p) ),
inference(resolution,[],[f70,f23]) ).
fof(f23,plain,
! [X0] :
( iext(X0,sK1(X0),sK0(X0))
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB026+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 17:45:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.54 % (22550)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (22551)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56 % (22543)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (22551)First to succeed.
% 0.20/0.56 % (22544)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (22561)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.56 % (22548)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.56 % (22548)Instruction limit reached!
% 0.20/0.56 % (22548)------------------------------
% 0.20/0.56 % (22548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (22548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (22548)Termination reason: Unknown
% 0.20/0.56 % (22548)Termination phase: Property scanning
% 0.20/0.56
% 0.20/0.56 % (22548)Memory used [KB]: 895
% 0.20/0.56 % (22548)Time elapsed: 0.003 s
% 0.20/0.56 % (22548)Instructions burned: 2 (million)
% 0.20/0.56 % (22548)------------------------------
% 0.20/0.56 % (22548)------------------------------
% 1.62/0.57 % (22551)Refutation found. Thanks to Tanya!
% 1.62/0.57 % SZS status Theorem for theBenchmark
% 1.62/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.62/0.57 % (22551)------------------------------
% 1.62/0.57 % (22551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57 % (22551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57 % (22551)Termination reason: Refutation
% 1.62/0.57
% 1.62/0.57 % (22551)Memory used [KB]: 5628
% 1.62/0.57 % (22551)Time elapsed: 0.145 s
% 1.62/0.57 % (22551)Instructions burned: 6 (million)
% 1.62/0.57 % (22551)------------------------------
% 1.62/0.57 % (22551)------------------------------
% 1.62/0.57 % (22539)Success in time 0.216 s
%------------------------------------------------------------------------------