%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWB016+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:00:58 AM UTC 2026
% Result : Theorem 15.06s 15.34s
% Output : Proof 15.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 119 ( 59 unt; 0 def)
% Number of atoms : 362 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 397 ( 154 ~; 155 |; 79 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 148 ( 3 sgn 107 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdf_type_ip,axiom,
! [P] :
( iext(uri_rdf_type,P,uri_rdf_Property)
<=> ip(P) ),
file('theBenchmark.p',rdf_type_ip) ).
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('theBenchmark.p',rdfs_cext_def) ).
fof(rdfs_domain_main,axiom,
! [P,C,X,Y] :
( ( iext(P,X,Y)
& iext(uri_rdfs_domain,P,C) )
=> icext(C,X) ),
file('theBenchmark.p',rdfs_domain_main) ).
fof(rdfs_domain_domain,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('theBenchmark.p',rdfs_domain_domain) ).
fof(rdfs_subclassof_domain,axiom,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
file('theBenchmark.p',rdfs_subclassof_domain) ).
fof(owl_prop_equivalentclass_type,axiom,
ip(uri_owl_equivalentClass),
file('theBenchmark.p',owl_prop_equivalentclass_type) ).
fof(owl_rdfsext_subclassof,axiom,
! [C1,C2] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ! [X] :
( icext(C1,X)
=> icext(C2,X) )
& ic(C2)
& ic(C1) ) ),
file('theBenchmark.p',owl_rdfsext_subclassof) ).
fof(owl_rdfsext_subpropertyof,axiom,
! [P1,P2] :
( iext(uri_rdfs_subPropertyOf,P1,P2)
<=> ( ! [X,Y] :
( iext(P1,X,Y)
=> iext(P2,X,Y) )
& ip(P2)
& ip(P1) ) ),
file('theBenchmark.p',owl_rdfsext_subpropertyof) ).
fof(owl_eqdis_equivalentclass,axiom,
! [C1,C2] :
( iext(uri_owl_equivalentClass,C1,C2)
<=> ( ! [X] :
( icext(C1,X)
<=> icext(C2,X) )
& ic(C2)
& ic(C1) ) ),
file('theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(testcase_conclusion_fullish_016_Reflective_Tautologies_II,conjecture,
iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
file('theBenchmark.p',testcase_conclusion_fullish_016_Reflective_Tautologies_II) ).
fof(f_1_1,plain,
! [P] :
( ( iext(uri_rdf_type,P,uri_rdf_Property)
| ~ ip(P) )
& ( ip(P)
| ~ iext(uri_rdf_type,P,uri_rdf_Property) ) ),
inference(fof_nnf,[status(thm)],[rdf_type_ip]) ).
fof(f_1_2,plain,
! [U_0] :
( ( iext(uri_rdf_type,U_0,uri_rdf_Property)
| ~ ip(U_0) )
& ( ip(U_0)
| ~ iext(uri_rdf_type,U_0,uri_rdf_Property) ) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
( ! [U_2] :
( iext(uri_rdf_type,U_2,uri_rdf_Property)
| ~ ip(U_2) )
& ! [U_1] :
( ip(U_1)
| ~ iext(uri_rdf_type,U_1,uri_rdf_Property) ) ),
inference(miniscope,[status(thm)],[f_1_2]) ).
cnf(f_1_4,plain,
( ip(U_1)
| ~ iext(uri_rdf_type,U_1,uri_rdf_Property) ),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [X,C] :
( ( iext(uri_rdf_type,X,C)
| ~ icext(C,X) )
& ( icext(C,X)
| ~ iext(uri_rdf_type,X,C) ) ),
inference(fof_nnf,[status(thm)],[rdfs_cext_def]) ).
fof(f_2_2,plain,
! [U_4,U_3] :
( ( iext(uri_rdf_type,U_4,U_3)
| ~ icext(U_3,U_4) )
& ( icext(U_3,U_4)
| ~ iext(uri_rdf_type,U_4,U_3) ) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
( ! [U_8,U_6] :
( iext(uri_rdf_type,U_8,U_6)
| ~ icext(U_6,U_8) )
& ! [U_7,U_5] :
( icext(U_5,U_7)
| ~ iext(uri_rdf_type,U_7,U_5) ) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
cnf(f_2_5,plain,
( iext(uri_rdf_type,U_8,U_6)
| ~ icext(U_6,U_8) ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [P,C,X,Y] :
( icext(C,X)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_domain,P,C) ),
inference(fof_nnf,[status(thm)],[rdfs_domain_main]) ).
fof(f_3_2,plain,
! [U_12,U_11,U_10,U_9] :
( icext(U_11,U_10)
| ~ iext(U_12,U_10,U_9)
| ~ iext(uri_rdfs_domain,U_12,U_11) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_12,U_11,U_10] :
( ! [U_9] : ~ iext(U_12,U_10,U_9)
| ~ iext(uri_rdfs_domain,U_12,U_11)
| icext(U_11,U_10) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
cnf(f_3_4,plain,
( ~ iext(U_12,U_10,U_9)
| ~ iext(uri_rdfs_domain,U_12,U_11)
| icext(U_11,U_10) ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(fof_nnf,[status(thm)],[rdfs_domain_domain]) ).
cnf(f_4_2,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(clausify,[status(thm)],[f_4_1]) ).
fof(f_5_1,plain,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
inference(fof_nnf,[status(thm)],[rdfs_subclassof_domain]) ).
cnf(f_5_2,plain,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
inference(clausify,[status(thm)],[f_5_1]) ).
fof(f_6_1,plain,
ip(uri_owl_equivalentClass),
inference(fof_nnf,[status(thm)],[owl_prop_equivalentclass_type]) ).
cnf(f_6_2,plain,
ip(uri_owl_equivalentClass),
inference(clausify,[status(thm)],[f_6_1]) ).
fof(f_8_1,plain,
! [C1,C2] :
( ( iext(uri_rdfs_subClassOf,C1,C2)
| ? [X] :
( ~ icext(C2,X)
& icext(C1,X) )
| ~ ic(C2)
| ~ ic(C1) )
& ( ( ! [X] :
( icext(C2,X)
| ~ icext(C1,X) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_rdfs_subClassOf,C1,C2) ) ),
inference(fof_nnf,[status(thm)],[owl_rdfsext_subclassof]) ).
fof(f_8_2,plain,
! [U_18,U_17] :
( ( iext(uri_rdfs_subClassOf,U_18,U_17)
| ? [U_16] :
( ~ icext(U_17,U_16)
& icext(U_18,U_16) )
| ~ ic(U_17)
| ~ ic(U_18) )
& ( ( ! [U_15] :
( icext(U_17,U_15)
| ~ icext(U_18,U_15) )
& ic(U_17)
& ic(U_18) )
| ~ iext(uri_rdfs_subClassOf,U_18,U_17) ) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ! [U_22,U_20] :
( iext(uri_rdfs_subClassOf,U_22,U_20)
| ? [U_16] :
( ~ icext(U_20,U_16)
& icext(U_22,U_16) )
| ~ ic(U_20)
| ~ ic(U_22) )
& ! [U_21,U_19] :
( ( ! [U_15] :
( icext(U_19,U_15)
| ~ icext(U_21,U_15) )
& ic(U_19)
& ic(U_21) )
| ~ iext(uri_rdfs_subClassOf,U_21,U_19) ) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
fof(f_8_4,plain,
( ! [U_22,U_20] :
( iext(uri_rdfs_subClassOf,U_22,U_20)
| ( ~ icext(U_20,sK1(U_22,U_20))
& icext(U_22,sK1(U_22,U_20)) )
| ~ ic(U_20)
| ~ ic(U_22) )
& ! [U_21,U_19] :
( ( ! [U_15] :
( icext(U_19,U_15)
| ~ icext(U_21,U_15) )
& ic(U_19)
& ic(U_21) )
| ~ iext(uri_rdfs_subClassOf,U_21,U_19) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_16,sK1(U_22,U_20))],[f_8_3]) ).
cnf(f_8_8,plain,
( icext(U_22,sK1(U_22,U_20))
| ~ ic(U_20)
| ~ ic(U_22)
| iext(uri_rdfs_subClassOf,U_22,U_20) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_9,plain,
( ~ icext(U_20,sK1(U_22,U_20))
| ~ ic(U_20)
| ~ ic(U_22)
| iext(uri_rdfs_subClassOf,U_22,U_20) ),
inference(clausify,[status(thm)],[f_8_4]) ).
fof(f_9_1,plain,
! [P1,P2] :
( ( iext(uri_rdfs_subPropertyOf,P1,P2)
| ? [X,Y] :
( ~ iext(P2,X,Y)
& iext(P1,X,Y) )
| ~ ip(P2)
| ~ ip(P1) )
& ( ( ! [X,Y] :
( iext(P2,X,Y)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_rdfs_subPropertyOf,P1,P2) ) ),
inference(fof_nnf,[status(thm)],[owl_rdfsext_subpropertyof]) ).
fof(f_9_2,plain,
! [U_28,U_27] :
( ( iext(uri_rdfs_subPropertyOf,U_28,U_27)
| ? [U_26,U_25] :
( ~ iext(U_27,U_26,U_25)
& iext(U_28,U_26,U_25) )
| ~ ip(U_27)
| ~ ip(U_28) )
& ( ( ! [U_24,U_23] :
( iext(U_27,U_24,U_23)
| ~ iext(U_28,U_24,U_23) )
& ip(U_27)
& ip(U_28) )
| ~ iext(uri_rdfs_subPropertyOf,U_28,U_27) ) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
( ! [U_32,U_30] :
( iext(uri_rdfs_subPropertyOf,U_32,U_30)
| ? [U_26,U_25] :
( ~ iext(U_30,U_26,U_25)
& iext(U_32,U_26,U_25) )
| ~ ip(U_30)
| ~ ip(U_32) )
& ! [U_31,U_29] :
( ( ! [U_24,U_23] :
( iext(U_29,U_24,U_23)
| ~ iext(U_31,U_24,U_23) )
& ip(U_29)
& ip(U_31) )
| ~ iext(uri_rdfs_subPropertyOf,U_31,U_29) ) ),
inference(miniscope,[status(thm)],[f_9_2]) ).
fof(f_9_4,plain,
( ! [U_32,U_30] :
( iext(uri_rdfs_subPropertyOf,U_32,U_30)
| ? [U_25] :
( ~ iext(U_30,sK2(U_32,U_30),U_25)
& iext(U_32,sK2(U_32,U_30),U_25) )
| ~ ip(U_30)
| ~ ip(U_32) )
& ! [U_31,U_29] :
( ( ! [U_24,U_23] :
( iext(U_29,U_24,U_23)
| ~ iext(U_31,U_24,U_23) )
& ip(U_29)
& ip(U_31) )
| ~ iext(uri_rdfs_subPropertyOf,U_31,U_29) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_26,sK2(U_32,U_30))],[f_9_3]) ).
fof(f_9_5,plain,
( ! [U_32,U_30] :
( iext(uri_rdfs_subPropertyOf,U_32,U_30)
| ( ~ iext(U_30,sK2(U_32,U_30),sK3(U_32,U_30))
& iext(U_32,sK2(U_32,U_30),sK3(U_32,U_30)) )
| ~ ip(U_30)
| ~ ip(U_32) )
& ! [U_31,U_29] :
( ( ! [U_24,U_23] :
( iext(U_29,U_24,U_23)
| ~ iext(U_31,U_24,U_23) )
& ip(U_29)
& ip(U_31) )
| ~ iext(uri_rdfs_subPropertyOf,U_31,U_29) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_25,sK3(U_32,U_30))],[f_9_4]) ).
cnf(f_9_8,plain,
( iext(U_29,U_24,U_23)
| ~ iext(U_31,U_24,U_23)
| ~ iext(uri_rdfs_subPropertyOf,U_31,U_29) ),
inference(clausify,[status(thm)],[f_9_5]) ).
cnf(f_9_9,plain,
( iext(U_32,sK2(U_32,U_30),sK3(U_32,U_30))
| ~ ip(U_30)
| ~ ip(U_32)
| iext(uri_rdfs_subPropertyOf,U_32,U_30) ),
inference(clausify,[status(thm)],[f_9_5]) ).
cnf(f_9_10,plain,
( ~ iext(U_30,sK2(U_32,U_30),sK3(U_32,U_30))
| ~ ip(U_30)
| ~ ip(U_32)
| iext(uri_rdfs_subPropertyOf,U_32,U_30) ),
inference(clausify,[status(thm)],[f_9_5]) ).
fof(f_10_1,plain,
! [C1,C2] :
( ( iext(uri_owl_equivalentClass,C1,C2)
| ? [X] :
( ( ~ icext(C1,X)
& icext(C2,X) )
| ( ~ icext(C2,X)
& icext(C1,X) ) )
| ~ ic(C2)
| ~ ic(C1) )
& ( ( ! [X] :
( ( icext(C1,X)
| ~ icext(C2,X) )
& ( icext(C2,X)
| ~ icext(C1,X) ) )
& ic(C2)
& ic(C1) )
| ~ iext(uri_owl_equivalentClass,C1,C2) ) ),
inference(fof_nnf,[status(thm)],[owl_eqdis_equivalentclass]) ).
fof(f_10_2,plain,
! [U_36,U_35] :
( ( iext(uri_owl_equivalentClass,U_36,U_35)
| ? [U_34] :
( ( ~ icext(U_36,U_34)
& icext(U_35,U_34) )
| ( ~ icext(U_35,U_34)
& icext(U_36,U_34) ) )
| ~ ic(U_35)
| ~ ic(U_36) )
& ( ( ! [U_33] :
( ( icext(U_36,U_33)
| ~ icext(U_35,U_33) )
& ( icext(U_35,U_33)
| ~ icext(U_36,U_33) ) )
& ic(U_35)
& ic(U_36) )
| ~ iext(uri_owl_equivalentClass,U_36,U_35) ) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
( ! [U_44,U_42] :
( iext(uri_owl_equivalentClass,U_44,U_42)
| ? [U_40] :
( ~ icext(U_44,U_40)
& icext(U_42,U_40) )
| ? [U_39] :
( ~ icext(U_42,U_39)
& icext(U_44,U_39) )
| ~ ic(U_42)
| ~ ic(U_44) )
& ! [U_43,U_41] :
( ( ! [U_38] :
( icext(U_43,U_38)
| ~ icext(U_41,U_38) )
& ! [U_37] :
( icext(U_41,U_37)
| ~ icext(U_43,U_37) )
& ic(U_41)
& ic(U_43) )
| ~ iext(uri_owl_equivalentClass,U_43,U_41) ) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
fof(f_10_4,plain,
( ! [U_44,U_42] :
( iext(uri_owl_equivalentClass,U_44,U_42)
| ? [U_40] :
( ~ icext(U_44,U_40)
& icext(U_42,U_40) )
| ( ~ icext(U_42,sK4(U_44,U_42))
& icext(U_44,sK4(U_44,U_42)) )
| ~ ic(U_42)
| ~ ic(U_44) )
& ! [U_43,U_41] :
( ( ! [U_38] :
( icext(U_43,U_38)
| ~ icext(U_41,U_38) )
& ! [U_37] :
( icext(U_41,U_37)
| ~ icext(U_43,U_37) )
& ic(U_41)
& ic(U_43) )
| ~ iext(uri_owl_equivalentClass,U_43,U_41) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_39,sK4(U_44,U_42))],[f_10_3]) ).
fof(f_10_5,plain,
( ! [U_44,U_42] :
( iext(uri_owl_equivalentClass,U_44,U_42)
| ( ~ icext(U_44,sK5(U_44,U_42))
& icext(U_42,sK5(U_44,U_42)) )
| ( ~ icext(U_42,sK4(U_44,U_42))
& icext(U_44,sK4(U_44,U_42)) )
| ~ ic(U_42)
| ~ ic(U_44) )
& ! [U_43,U_41] :
( ( ! [U_38] :
( icext(U_43,U_38)
| ~ icext(U_41,U_38) )
& ! [U_37] :
( icext(U_41,U_37)
| ~ icext(U_43,U_37) )
& ic(U_41)
& ic(U_43) )
| ~ iext(uri_owl_equivalentClass,U_43,U_41) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_40,sK5(U_44,U_42))],[f_10_4]) ).
cnf(f_10_6,plain,
( ic(U_43)
| ~ iext(uri_owl_equivalentClass,U_43,U_41) ),
inference(clausify,[status(thm)],[f_10_5]) ).
cnf(f_10_7,plain,
( ic(U_41)
| ~ iext(uri_owl_equivalentClass,U_43,U_41) ),
inference(clausify,[status(thm)],[f_10_5]) ).
cnf(f_10_8,plain,
( icext(U_41,U_37)
| ~ icext(U_43,U_37)
| ~ iext(uri_owl_equivalentClass,U_43,U_41) ),
inference(clausify,[status(thm)],[f_10_5]) ).
fof(f_11_1,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(negate,[status(cth)],[testcase_conclusion_fullish_016_Reflective_Tautologies_II]) ).
fof(f_11_2,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(definitional_conversion,[status(esa)],[f_11_1]) ).
cnf(f_11_3,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(clausify,[status(thm)],[f_11_2]) ).
cnf(t1,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(start,[status(thm),parent(0:0)],[f_11_3]) ).
cnf(t2,plain,
( ~ ip(uri_owl_equivalentClass)
| ~ ip(uri_rdfs_subClassOf)
| ~ iext(uri_rdfs_subClassOf,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
inference(extension,[status(thm),parent(t1:1)],[f_9_10]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ iext(uri_owl_equivalentClass,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| iext(uri_rdfs_subClassOf,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(extension,[status(thm),parent(t2:2)],[f_9_8]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( ~ ip(uri_owl_equivalentClass)
| ~ ip(uri_rdfs_subClassOf)
| iext(uri_owl_equivalentClass,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
inference(extension,[status(thm),parent(t4:2)],[f_9_9]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ icext(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| icext(sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| ~ iext(uri_owl_equivalentClass,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(extension,[status(thm),parent(t6:2)],[f_10_8]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ ic(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ic(sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| iext(uri_rdfs_subClassOf,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ icext(sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))) ),
inference(extension,[status(thm),parent(t8:2)],[f_8_9]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
$false,
inference(reduction,[status(thm),parent(t10:2)],[t10:2,t2:2]) ).
cnf(t13,plain,
( ~ iext(uri_owl_equivalentClass,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ic(sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(extension,[status(thm),parent(t10:3)],[f_10_7]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t10:3]) ).
cnf(t15,plain,
$false,
inference(reduction,[status(thm),parent(t13:2)],[t13:2,t6:2]) ).
cnf(t16,plain,
( ~ iext(uri_owl_equivalentClass,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ic(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(extension,[status(thm),parent(t10:4)],[f_10_6]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t10:4]) ).
cnf(t18,plain,
$false,
inference(reduction,[status(thm),parent(t16:2)],[t16:2,t6:2]) ).
cnf(t19,plain,
( ~ ic(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ic(sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| iext(uri_rdfs_subClassOf,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| icext(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK1(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))) ),
inference(extension,[status(thm),parent(t8:3)],[f_8_8]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t8:3]) ).
cnf(t21,plain,
$false,
inference(reduction,[status(thm),parent(t19:2)],[t19:2,t2:2]) ).
cnf(t22,plain,
( ~ iext(uri_owl_equivalentClass,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ic(sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(extension,[status(thm),parent(t19:3)],[f_10_7]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t19:3]) ).
cnf(t24,plain,
$false,
inference(reduction,[status(thm),parent(t22:2)],[t22:2,t6:2]) ).
cnf(t25,plain,
( ~ iext(uri_owl_equivalentClass,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ic(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(extension,[status(thm),parent(t19:4)],[f_10_6]) ).
cnf(t26,plain,
$false,
inference(connection,[status(thm),parent(t25:1)],[t25:1,t19:4]) ).
cnf(t27,plain,
$false,
inference(reduction,[status(thm),parent(t25:2)],[t25:2,t6:2]) ).
cnf(t28,plain,
( ~ iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property)
| ip(uri_rdfs_subClassOf) ),
inference(extension,[status(thm),parent(t6:3)],[f_1_4]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t6:3]) ).
cnf(t30,plain,
( ~ icext(uri_rdf_Property,uri_rdfs_subClassOf)
| iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property) ),
inference(extension,[status(thm),parent(t28:2)],[f_2_5]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
( ~ iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property)
| ~ iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class)
| icext(uri_rdf_Property,uri_rdfs_subClassOf) ),
inference(extension,[status(thm),parent(t30:2)],[f_3_4]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).
cnf(t34,plain,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
inference(extension,[status(thm),parent(t32:2)],[f_5_2]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t32:2]) ).
cnf(t36,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(extension,[status(thm),parent(t32:3)],[f_4_2]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t32:3]) ).
cnf(t38,plain,
ip(uri_owl_equivalentClass),
inference(extension,[status(thm),parent(t6:4)],[f_6_2]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t6:4]) ).
cnf(t40,plain,
( ~ ip(uri_owl_equivalentClass)
| ~ ip(uri_rdfs_subClassOf)
| iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| iext(uri_owl_equivalentClass,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK3(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
inference(extension,[status(thm),parent(t4:3)],[f_9_9]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t4:3]) ).
cnf(t42,plain,
$false,
inference(reduction,[status(thm),parent(t40:2)],[t40:2,t1:1]) ).
cnf(t43,plain,
( ~ iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property)
| ip(uri_rdfs_subClassOf) ),
inference(extension,[status(thm),parent(t40:3)],[f_1_4]) ).
cnf(t44,plain,
$false,
inference(connection,[status(thm),parent(t43:1)],[t43:1,t40:3]) ).
cnf(t45,plain,
( ~ icext(uri_rdf_Property,uri_rdfs_subClassOf)
| iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property) ),
inference(extension,[status(thm),parent(t43:2)],[f_2_5]) ).
cnf(t46,plain,
$false,
inference(connection,[status(thm),parent(t45:1)],[t45:1,t43:2]) ).
cnf(t47,plain,
( ~ iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property)
| ~ iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class)
| icext(uri_rdf_Property,uri_rdfs_subClassOf) ),
inference(extension,[status(thm),parent(t45:2)],[f_3_4]) ).
cnf(t48,plain,
$false,
inference(connection,[status(thm),parent(t47:1)],[t47:1,t45:2]) ).
cnf(t49,plain,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
inference(extension,[status(thm),parent(t47:2)],[f_5_2]) ).
cnf(t50,plain,
$false,
inference(connection,[status(thm),parent(t49:1)],[t49:1,t47:2]) ).
cnf(t51,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(extension,[status(thm),parent(t47:3)],[f_4_2]) ).
cnf(t52,plain,
$false,
inference(connection,[status(thm),parent(t51:1)],[t51:1,t47:3]) ).
cnf(t53,plain,
ip(uri_owl_equivalentClass),
inference(extension,[status(thm),parent(t40:4)],[f_6_2]) ).
cnf(t54,plain,
$false,
inference(connection,[status(thm),parent(t53:1)],[t53:1,t40:4]) ).
cnf(t55,plain,
( ~ iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property)
| ip(uri_rdfs_subClassOf) ),
inference(extension,[status(thm),parent(t2:3)],[f_1_4]) ).
cnf(t56,plain,
$false,
inference(connection,[status(thm),parent(t55:1)],[t55:1,t2:3]) ).
cnf(t57,plain,
( ~ icext(uri_rdf_Property,uri_rdfs_subClassOf)
| iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property) ),
inference(extension,[status(thm),parent(t55:2)],[f_2_5]) ).
cnf(t58,plain,
$false,
inference(connection,[status(thm),parent(t57:1)],[t57:1,t55:2]) ).
cnf(t59,plain,
( ~ iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property)
| ~ iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class)
| icext(uri_rdf_Property,uri_rdfs_subClassOf) ),
inference(extension,[status(thm),parent(t57:2)],[f_3_4]) ).
cnf(t60,plain,
$false,
inference(connection,[status(thm),parent(t59:1)],[t59:1,t57:2]) ).
cnf(t61,plain,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
inference(extension,[status(thm),parent(t59:2)],[f_5_2]) ).
cnf(t62,plain,
$false,
inference(connection,[status(thm),parent(t61:1)],[t61:1,t59:2]) ).
cnf(t63,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(extension,[status(thm),parent(t59:3)],[f_4_2]) ).
cnf(t64,plain,
$false,
inference(connection,[status(thm),parent(t63:1)],[t63:1,t59:3]) ).
cnf(t65,plain,
ip(uri_owl_equivalentClass),
inference(extension,[status(thm),parent(t2:4)],[f_6_2]) ).
cnf(t66,plain,
$false,
inference(connection,[status(thm),parent(t65:1)],[t65:1,t2:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB016+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 01:08:26 UTC 2026
% 0.09/0.35 % CPUTime :
% 15.06/15.34 % SZS status Theorem for theBenchmark
% 15.06/15.34 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------