%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWB025+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 09:01:01 AM UTC 2026
% Result : Theorem 17.36s 17.64s
% Output : Proof 17.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 82 ( 48 unt; 0 def)
% Number of atoms : 429 ( 0 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 485 ( 138 ~; 133 |; 209 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 17 con; 0-5 aty)
% Number of variables : 165 ( 0 sgn 100 !; 53 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_chain_002,axiom,
! [P,S1,P1,S2,P2] :
( ( iext(uri_rdf_rest,S2,uri_rdf_nil)
& iext(uri_rdf_first,S2,P2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,P1) )
=> ( iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ! [Y0,Y1,Y2] :
( ( iext(P2,Y1,Y2)
& iext(P1,Y0,Y1) )
=> iext(P,Y0,Y2) )
& ip(P2)
& ip(P1)
& ip(P) ) ) ),
file('theBenchmark.p',owl_chain_002) ).
fof(owl_inv,axiom,
! [P1,P2] :
( iext(uri_owl_inverseOf,P1,P2)
<=> ( ! [X,Y] :
( iext(P1,X,Y)
<=> iext(P2,Y,X) )
& ip(P2)
& ip(P1) ) ),
file('theBenchmark.p',owl_inv) ).
fof(testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties,conjecture,
( iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
& iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
file('theBenchmark.p',testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties,axiom,
? [BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l3] :
( iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_owl_inverseOf,BNODE_l3,uri_ex_hasFather)
& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l22,BNODE_l3)
& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& iext(uri_rdf_first,BNODE_l21,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,BNODE_l21)
& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l12,uri_ex_hasFather)
& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_first,BNODE_l11,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,BNODE_l11) ),
file('theBenchmark.p',testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(f_1_1,plain,
! [P,S1,P1,S2,P2] :
( ( ( iext(uri_owl_propertyChainAxiom,P,S1)
| ? [Y0,Y1,Y2] :
( ~ iext(P,Y0,Y2)
& iext(P2,Y1,Y2)
& iext(P1,Y0,Y1) )
| ~ ip(P2)
| ~ ip(P1)
| ~ ip(P) )
& ( ( ! [Y0,Y1,Y2] :
( iext(P,Y0,Y2)
| ~ iext(P2,Y1,Y2)
| ~ iext(P1,Y0,Y1) )
& ip(P2)
& ip(P1)
& ip(P) )
| ~ iext(uri_owl_propertyChainAxiom,P,S1) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,P1) ),
inference(fof_nnf,[status(thm)],[owl_chain_002]) ).
fof(f_1_2,plain,
! [U_10,U_9,U_8,U_7,U_6] :
( ( ( iext(uri_owl_propertyChainAxiom,U_10,U_9)
| ? [U_5,U_4,U_3] :
( ~ iext(U_10,U_5,U_3)
& iext(U_6,U_4,U_3)
& iext(U_8,U_5,U_4) )
| ~ ip(U_6)
| ~ ip(U_8)
| ~ ip(U_10) )
& ( ( ! [U_2,U_1,U_0] :
( iext(U_10,U_2,U_0)
| ~ iext(U_6,U_1,U_0)
| ~ iext(U_8,U_2,U_1) )
& ip(U_6)
& ip(U_8)
& ip(U_10) )
| ~ iext(uri_owl_propertyChainAxiom,U_10,U_9) ) )
| ~ iext(uri_rdf_rest,U_7,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_7,U_6)
| ~ iext(uri_rdf_rest,U_9,U_7)
| ~ iext(uri_rdf_first,U_9,U_8) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
! [U_10,U_9,U_8,U_7,U_6] :
( ( ( iext(uri_owl_propertyChainAxiom,U_10,U_9)
| ? [U_4,U_3] :
( ~ iext(U_10,sK1(U_10,U_9,U_8,U_7,U_6),U_3)
& iext(U_6,U_4,U_3)
& iext(U_8,sK1(U_10,U_9,U_8,U_7,U_6),U_4) )
| ~ ip(U_6)
| ~ ip(U_8)
| ~ ip(U_10) )
& ( ( ! [U_2,U_1,U_0] :
( iext(U_10,U_2,U_0)
| ~ iext(U_6,U_1,U_0)
| ~ iext(U_8,U_2,U_1) )
& ip(U_6)
& ip(U_8)
& ip(U_10) )
| ~ iext(uri_owl_propertyChainAxiom,U_10,U_9) ) )
| ~ iext(uri_rdf_rest,U_7,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_7,U_6)
| ~ iext(uri_rdf_rest,U_9,U_7)
| ~ iext(uri_rdf_first,U_9,U_8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_5,sK1(U_10,U_9,U_8,U_7,U_6))],[f_1_2]) ).
fof(f_1_4,plain,
! [U_10,U_9,U_8,U_7,U_6] :
( ( ( iext(uri_owl_propertyChainAxiom,U_10,U_9)
| ? [U_3] :
( ~ iext(U_10,sK1(U_10,U_9,U_8,U_7,U_6),U_3)
& iext(U_6,sK2(U_10,U_9,U_8,U_7,U_6),U_3)
& iext(U_8,sK1(U_10,U_9,U_8,U_7,U_6),sK2(U_10,U_9,U_8,U_7,U_6)) )
| ~ ip(U_6)
| ~ ip(U_8)
| ~ ip(U_10) )
& ( ( ! [U_2,U_1,U_0] :
( iext(U_10,U_2,U_0)
| ~ iext(U_6,U_1,U_0)
| ~ iext(U_8,U_2,U_1) )
& ip(U_6)
& ip(U_8)
& ip(U_10) )
| ~ iext(uri_owl_propertyChainAxiom,U_10,U_9) ) )
| ~ iext(uri_rdf_rest,U_7,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_7,U_6)
| ~ iext(uri_rdf_rest,U_9,U_7)
| ~ iext(uri_rdf_first,U_9,U_8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_4,sK2(U_10,U_9,U_8,U_7,U_6))],[f_1_3]) ).
fof(f_1_5,plain,
! [U_10,U_9,U_8,U_7,U_6] :
( ( ( iext(uri_owl_propertyChainAxiom,U_10,U_9)
| ( ~ iext(U_10,sK1(U_10,U_9,U_8,U_7,U_6),sK3(U_10,U_9,U_8,U_7,U_6))
& iext(U_6,sK2(U_10,U_9,U_8,U_7,U_6),sK3(U_10,U_9,U_8,U_7,U_6))
& iext(U_8,sK1(U_10,U_9,U_8,U_7,U_6),sK2(U_10,U_9,U_8,U_7,U_6)) )
| ~ ip(U_6)
| ~ ip(U_8)
| ~ ip(U_10) )
& ( ( ! [U_2,U_1,U_0] :
( iext(U_10,U_2,U_0)
| ~ iext(U_6,U_1,U_0)
| ~ iext(U_8,U_2,U_1) )
& ip(U_6)
& ip(U_8)
& ip(U_10) )
| ~ iext(uri_owl_propertyChainAxiom,U_10,U_9) ) )
| ~ iext(uri_rdf_rest,U_7,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_7,U_6)
| ~ iext(uri_rdf_rest,U_9,U_7)
| ~ iext(uri_rdf_first,U_9,U_8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_3,sK3(U_10,U_9,U_8,U_7,U_6))],[f_1_4]) ).
cnf(f_1_9,plain,
( iext(U_10,U_2,U_0)
| ~ iext(U_6,U_1,U_0)
| ~ iext(U_8,U_2,U_1)
| ~ iext(uri_owl_propertyChainAxiom,U_10,U_9)
| ~ iext(uri_rdf_rest,U_7,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_7,U_6)
| ~ iext(uri_rdf_rest,U_9,U_7)
| ~ iext(uri_rdf_first,U_9,U_8) ),
inference(clausify,[status(thm)],[f_1_5]) ).
fof(f_2_1,plain,
! [P1,P2] :
( ( iext(uri_owl_inverseOf,P1,P2)
| ? [X,Y] :
( ( ~ iext(P1,X,Y)
& iext(P2,Y,X) )
| ( ~ iext(P2,Y,X)
& iext(P1,X,Y) ) )
| ~ ip(P2)
| ~ ip(P1) )
& ( ( ! [X,Y] :
( ( iext(P1,X,Y)
| ~ iext(P2,Y,X) )
& ( iext(P2,Y,X)
| ~ iext(P1,X,Y) ) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_owl_inverseOf,P1,P2) ) ),
inference(fof_nnf,[status(thm)],[owl_inv]) ).
fof(f_2_2,plain,
! [U_16,U_15] :
( ( iext(uri_owl_inverseOf,U_16,U_15)
| ? [U_14,U_13] :
( ( ~ iext(U_16,U_14,U_13)
& iext(U_15,U_13,U_14) )
| ( ~ iext(U_15,U_13,U_14)
& iext(U_16,U_14,U_13) ) )
| ~ ip(U_15)
| ~ ip(U_16) )
& ( ( ! [U_12,U_11] :
( ( iext(U_16,U_12,U_11)
| ~ iext(U_15,U_11,U_12) )
& ( iext(U_15,U_11,U_12)
| ~ iext(U_16,U_12,U_11) ) )
& ip(U_15)
& ip(U_16) )
| ~ iext(uri_owl_inverseOf,U_16,U_15) ) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
( ! [U_28,U_26] :
( iext(uri_owl_inverseOf,U_28,U_26)
| ? [U_24,U_22] :
( ~ iext(U_28,U_24,U_22)
& iext(U_26,U_22,U_24) )
| ? [U_23,U_21] :
( ~ iext(U_26,U_21,U_23)
& iext(U_28,U_23,U_21) )
| ~ ip(U_26)
| ~ ip(U_28) )
& ! [U_27,U_25] :
( ( ! [U_20,U_18] :
( iext(U_27,U_20,U_18)
| ~ iext(U_25,U_18,U_20) )
& ! [U_19,U_17] :
( iext(U_25,U_17,U_19)
| ~ iext(U_27,U_19,U_17) )
& ip(U_25)
& ip(U_27) )
| ~ iext(uri_owl_inverseOf,U_27,U_25) ) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
fof(f_2_4,plain,
( ! [U_28,U_26] :
( iext(uri_owl_inverseOf,U_28,U_26)
| ? [U_24,U_22] :
( ~ iext(U_28,U_24,U_22)
& iext(U_26,U_22,U_24) )
| ? [U_21] :
( ~ iext(U_26,U_21,sK4(U_28,U_26))
& iext(U_28,sK4(U_28,U_26),U_21) )
| ~ ip(U_26)
| ~ ip(U_28) )
& ! [U_27,U_25] :
( ( ! [U_20,U_18] :
( iext(U_27,U_20,U_18)
| ~ iext(U_25,U_18,U_20) )
& ! [U_19,U_17] :
( iext(U_25,U_17,U_19)
| ~ iext(U_27,U_19,U_17) )
& ip(U_25)
& ip(U_27) )
| ~ iext(uri_owl_inverseOf,U_27,U_25) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_23,sK4(U_28,U_26))],[f_2_3]) ).
fof(f_2_5,plain,
( ! [U_28,U_26] :
( iext(uri_owl_inverseOf,U_28,U_26)
| ? [U_24,U_22] :
( ~ iext(U_28,U_24,U_22)
& iext(U_26,U_22,U_24) )
| ( ~ iext(U_26,sK5(U_28,U_26),sK4(U_28,U_26))
& iext(U_28,sK4(U_28,U_26),sK5(U_28,U_26)) )
| ~ ip(U_26)
| ~ ip(U_28) )
& ! [U_27,U_25] :
( ( ! [U_20,U_18] :
( iext(U_27,U_20,U_18)
| ~ iext(U_25,U_18,U_20) )
& ! [U_19,U_17] :
( iext(U_25,U_17,U_19)
| ~ iext(U_27,U_19,U_17) )
& ip(U_25)
& ip(U_27) )
| ~ iext(uri_owl_inverseOf,U_27,U_25) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_21,sK5(U_28,U_26))],[f_2_4]) ).
fof(f_2_6,plain,
( ! [U_28,U_26] :
( iext(uri_owl_inverseOf,U_28,U_26)
| ? [U_22] :
( ~ iext(U_28,sK6(U_28,U_26),U_22)
& iext(U_26,U_22,sK6(U_28,U_26)) )
| ( ~ iext(U_26,sK5(U_28,U_26),sK4(U_28,U_26))
& iext(U_28,sK4(U_28,U_26),sK5(U_28,U_26)) )
| ~ ip(U_26)
| ~ ip(U_28) )
& ! [U_27,U_25] :
( ( ! [U_20,U_18] :
( iext(U_27,U_20,U_18)
| ~ iext(U_25,U_18,U_20) )
& ! [U_19,U_17] :
( iext(U_25,U_17,U_19)
| ~ iext(U_27,U_19,U_17) )
& ip(U_25)
& ip(U_27) )
| ~ iext(uri_owl_inverseOf,U_27,U_25) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_24,sK6(U_28,U_26))],[f_2_5]) ).
fof(f_2_7,plain,
( ! [U_28,U_26] :
( iext(uri_owl_inverseOf,U_28,U_26)
| ( ~ iext(U_28,sK6(U_28,U_26),sK7(U_28,U_26))
& iext(U_26,sK7(U_28,U_26),sK6(U_28,U_26)) )
| ( ~ iext(U_26,sK5(U_28,U_26),sK4(U_28,U_26))
& iext(U_28,sK4(U_28,U_26),sK5(U_28,U_26)) )
| ~ ip(U_26)
| ~ ip(U_28) )
& ! [U_27,U_25] :
( ( ! [U_20,U_18] :
( iext(U_27,U_20,U_18)
| ~ iext(U_25,U_18,U_20) )
& ! [U_19,U_17] :
( iext(U_25,U_17,U_19)
| ~ iext(U_27,U_19,U_17) )
& ip(U_25)
& ip(U_27) )
| ~ iext(uri_owl_inverseOf,U_27,U_25) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_22,sK7(U_28,U_26))],[f_2_6]) ).
cnf(f_2_11,plain,
( iext(U_27,U_20,U_18)
| ~ iext(U_25,U_18,U_20)
| ~ iext(uri_owl_inverseOf,U_27,U_25) ),
inference(clausify,[status(thm)],[f_2_7]) ).
fof(f_3_1,negated_conjecture,
~ ( iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
& iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(negate,[status(cth)],[testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
fof(f_3_2,negated_conjecture,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(fof_nnf,[status(thm)],[f_3_1]) ).
fof(f_3_3,negated_conjecture,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(definitional_conversion,[status(esa)],[f_3_2]) ).
cnf(f_3_4,negated_conjecture,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
? [BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l3] :
( iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_owl_inverseOf,BNODE_l3,uri_ex_hasFather)
& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l22,BNODE_l3)
& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& iext(uri_rdf_first,BNODE_l21,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,BNODE_l21)
& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l12,uri_ex_hasFather)
& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_first,BNODE_l11,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,BNODE_l11) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
fof(f_4_2,plain,
? [U_33,U_32,U_31,U_30,U_29] :
( iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_owl_inverseOf,U_29,uri_ex_hasFather)
& iext(uri_rdf_rest,U_30,uri_rdf_nil)
& iext(uri_rdf_first,U_30,U_29)
& iext(uri_rdf_rest,U_31,U_30)
& iext(uri_rdf_first,U_31,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,U_31)
& iext(uri_rdf_rest,U_32,uri_rdf_nil)
& iext(uri_rdf_first,U_32,uri_ex_hasFather)
& iext(uri_rdf_rest,U_33,U_32)
& iext(uri_rdf_first,U_33,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,U_33) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ? [U_33] :
( ? [U_32] :
( iext(uri_rdf_rest,U_32,uri_rdf_nil)
& iext(uri_rdf_first,U_32,uri_ex_hasFather)
& iext(uri_rdf_rest,U_33,U_32) )
& iext(uri_rdf_first,U_33,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,U_33) )
& ? [U_31] :
( ? [U_30] :
( ? [U_29] :
( iext(uri_owl_inverseOf,U_29,uri_ex_hasFather)
& iext(uri_rdf_first,U_30,U_29) )
& iext(uri_rdf_rest,U_30,uri_rdf_nil)
& iext(uri_rdf_rest,U_31,U_30) )
& iext(uri_rdf_first,U_31,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,U_31) )
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
fof(f_4_4,plain,
( ? [U_33] :
( ? [U_32] :
( iext(uri_rdf_rest,U_32,uri_rdf_nil)
& iext(uri_rdf_first,U_32,uri_ex_hasFather)
& iext(uri_rdf_rest,U_33,U_32) )
& iext(uri_rdf_first,U_33,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,U_33) )
& ? [U_30] :
( ? [U_29] :
( iext(uri_owl_inverseOf,U_29,uri_ex_hasFather)
& iext(uri_rdf_first,U_30,U_29) )
& iext(uri_rdf_rest,U_30,uri_rdf_nil)
& iext(uri_rdf_rest,sK8,U_30) )
& iext(uri_rdf_first,sK8,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK8)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_31,sK8)],[f_4_3]) ).
fof(f_4_5,plain,
( ? [U_33] :
( ? [U_32] :
( iext(uri_rdf_rest,U_32,uri_rdf_nil)
& iext(uri_rdf_first,U_32,uri_ex_hasFather)
& iext(uri_rdf_rest,U_33,U_32) )
& iext(uri_rdf_first,U_33,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,U_33) )
& ? [U_29] :
( iext(uri_owl_inverseOf,U_29,uri_ex_hasFather)
& iext(uri_rdf_first,sK9,U_29) )
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK8,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK8)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_30,sK9)],[f_4_4]) ).
fof(f_4_6,plain,
( ? [U_33] :
( ? [U_32] :
( iext(uri_rdf_rest,U_32,uri_rdf_nil)
& iext(uri_rdf_first,U_32,uri_ex_hasFather)
& iext(uri_rdf_rest,U_33,U_32) )
& iext(uri_rdf_first,U_33,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,U_33) )
& iext(uri_owl_inverseOf,sK10,uri_ex_hasFather)
& iext(uri_rdf_first,sK9,sK10)
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK8,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK8)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_29,sK10)],[f_4_5]) ).
fof(f_4_7,plain,
( ? [U_32] :
( iext(uri_rdf_rest,U_32,uri_rdf_nil)
& iext(uri_rdf_first,U_32,uri_ex_hasFather)
& iext(uri_rdf_rest,sK11,U_32) )
& iext(uri_rdf_first,sK11,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK11)
& iext(uri_owl_inverseOf,sK10,uri_ex_hasFather)
& iext(uri_rdf_first,sK9,sK10)
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK8,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK8)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_33,sK11)],[f_4_6]) ).
fof(f_4_8,plain,
( iext(uri_rdf_rest,sK12,uri_rdf_nil)
& iext(uri_rdf_first,sK12,uri_ex_hasFather)
& iext(uri_rdf_rest,sK11,sK12)
& iext(uri_rdf_first,sK11,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK11)
& iext(uri_owl_inverseOf,sK10,uri_ex_hasFather)
& iext(uri_rdf_first,sK9,sK10)
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK8,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK8)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_32,sK12)],[f_4_7]) ).
cnf(f_4_9,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(clausify,[status(thm)],[f_4_8]) ).
cnf(f_4_10,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(clausify,[status(thm)],[f_4_8]) ).
cnf(f_4_11,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(clausify,[status(thm)],[f_4_8]) ).
cnf(f_4_12,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(clausify,[status(thm)],[f_4_8]) ).
cnf(f_4_13,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK8),
inference(clausify,[status(thm)],[f_4_8]) ).
cnf(f_4_14,plain,
iext(uri_rdf_first,sK8,uri_ex_hasUncle),
inference(clausify,[status(thm)],[f_4_8]) ).
cnf(f_4_15,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(clausify,[status(thm)],[f_4_8]) ).
cnf(f_4_16,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(clausify,[status(thm)],[f_4_8]) ).
cnf(f_4_17,plain,
iext(uri_rdf_first,sK9,sK10),
inference(clausify,[status(thm)],[f_4_8]) ).
cnf(f_4_18,plain,
iext(uri_owl_inverseOf,sK10,uri_ex_hasFather),
inference(clausify,[status(thm)],[f_4_8]) ).
cnf(f_4_19,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK11),
inference(clausify,[status(thm)],[f_4_8]) ).
cnf(f_4_20,plain,
iext(uri_rdf_first,sK11,uri_ex_hasCousin),
inference(clausify,[status(thm)],[f_4_8]) ).
cnf(f_4_21,plain,
iext(uri_rdf_rest,sK11,sK12),
inference(clausify,[status(thm)],[f_4_8]) ).
cnf(f_4_22,plain,
iext(uri_rdf_first,sK12,uri_ex_hasFather),
inference(clausify,[status(thm)],[f_4_8]) ).
cnf(f_4_23,plain,
iext(uri_rdf_rest,sK12,uri_rdf_nil),
inference(clausify,[status(thm)],[f_4_8]) ).
cnf(t1,plain,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(start,[status(thm),parent(0:0)],[f_3_4]) ).
cnf(t2,plain,
( ~ iext(uri_rdf_rest,sK11,sK12)
| ~ iext(uri_rdf_first,sK12,uri_ex_hasFather)
| ~ iext(uri_rdf_rest,sK12,uri_rdf_nil)
| ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK11)
| ~ iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
| ~ iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
| ~ iext(uri_rdf_first,sK11,uri_ex_hasCousin)
| iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(extension,[status(thm),parent(t1:1)],[f_1_9]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
iext(uri_rdf_first,sK11,uri_ex_hasCousin),
inference(extension,[status(thm),parent(t2:2)],[f_4_20]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(extension,[status(thm),parent(t2:3)],[f_4_11]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(extension,[status(thm),parent(t2:4)],[f_4_10]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:4]) ).
cnf(t10,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK11),
inference(extension,[status(thm),parent(t2:5)],[f_4_19]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:5]) ).
cnf(t12,plain,
iext(uri_rdf_rest,sK12,uri_rdf_nil),
inference(extension,[status(thm),parent(t2:6)],[f_4_23]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t2:6]) ).
cnf(t14,plain,
iext(uri_rdf_first,sK12,uri_ex_hasFather),
inference(extension,[status(thm),parent(t2:7)],[f_4_22]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t2:7]) ).
cnf(t16,plain,
iext(uri_rdf_rest,sK11,sK12),
inference(extension,[status(thm),parent(t2:8)],[f_4_21]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t2:8]) ).
cnf(t18,plain,
( ~ iext(uri_rdf_rest,sK8,sK9)
| ~ iext(uri_rdf_first,sK9,sK10)
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK8)
| ~ iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
| ~ iext(sK10,uri_ex_dave,uri_ex_alice)
| ~ iext(uri_rdf_first,sK8,uri_ex_hasUncle)
| iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(extension,[status(thm),parent(t1:2)],[f_1_9]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t1:2]) ).
cnf(t20,plain,
iext(uri_rdf_first,sK8,uri_ex_hasUncle),
inference(extension,[status(thm),parent(t18:2)],[f_4_14]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
( ~ iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
| ~ iext(uri_owl_inverseOf,sK10,uri_ex_hasFather)
| iext(sK10,uri_ex_dave,uri_ex_alice) ),
inference(extension,[status(thm),parent(t18:3)],[f_2_11]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t18:3]) ).
cnf(t24,plain,
iext(uri_owl_inverseOf,sK10,uri_ex_hasFather),
inference(extension,[status(thm),parent(t22:2)],[f_4_18]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(extension,[status(thm),parent(t22:3)],[f_4_9]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t22:3]) ).
cnf(t28,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(extension,[status(thm),parent(t18:4)],[f_4_12]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t18:4]) ).
cnf(t30,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK8),
inference(extension,[status(thm),parent(t18:5)],[f_4_13]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t18:5]) ).
cnf(t32,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(extension,[status(thm),parent(t18:6)],[f_4_16]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t18:6]) ).
cnf(t34,plain,
iext(uri_rdf_first,sK9,sK10),
inference(extension,[status(thm),parent(t18:7)],[f_4_17]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t18:7]) ).
cnf(t36,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(extension,[status(thm),parent(t18:8)],[f_4_15]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t18:8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB025+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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 01:19:10 UTC 2026
% 0.10/0.36 % CPUTime :
% 17.36/17.64 % SZS status Theorem for theBenchmark
% 17.36/17.64 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------