%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWB029+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 : n008.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 09:01:02 AM UTC 2026
% Result : Theorem 124.46s 124.79s
% Output : Proof 124.56s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('theBenchmark.p',rdfs_cext_def) ).
fof(owl_bool_complementof_class,axiom,
! [Z,C] :
( iext(uri_owl_complementOf,Z,C)
=> ( ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) )
& ic(C)
& ic(Z) ) ),
file('theBenchmark.p',owl_bool_complementof_class) ).
fof(owl_bool_intersectionof_class_002,axiom,
! [Z,S1,C1,S2,C2] :
( ( iext(uri_rdf_rest,S2,uri_rdf_nil)
& iext(uri_rdf_first,S2,C2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,C1) )
=> ( iext(uri_owl_intersectionOf,Z,S1)
<=> ( ! [X] :
( icext(Z,X)
<=> ( icext(C2,X)
& icext(C1,X) ) )
& ic(C2)
& ic(C1)
& ic(Z) ) ) ),
file('theBenchmark.p',owl_bool_intersectionof_class_002) ).
fof(testcase_conclusion_fullish_029_Ex_Falso_Quodlibet,conjecture,
iext(uri_rdf_type,uri_ex_w,uri_ex_B),
file('theBenchmark.p',testcase_conclusion_fullish_029_Ex_Falso_Quodlibet) ).
fof(testcase_premise_fullish_029_Ex_Falso_Quodlibet,axiom,
? [BNODE_x,BNODE_y,BNODE_l1,BNODE_l2] :
( iext(uri_owl_complementOf,BNODE_y,uri_ex_A)
& iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l2,BNODE_y)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l1,uri_ex_A)
& iext(uri_owl_intersectionOf,BNODE_x,BNODE_l1)
& iext(uri_rdf_type,uri_ex_w,BNODE_x)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_A,uri_owl_Class) ),
file('theBenchmark.p',testcase_premise_fullish_029_Ex_Falso_Quodlibet) ).
fof(f_1_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_1_2,plain,
! [U_1,U_0] :
( ( iext(uri_rdf_type,U_1,U_0)
| ~ icext(U_0,U_1) )
& ( icext(U_0,U_1)
| ~ iext(uri_rdf_type,U_1,U_0) ) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
( ! [U_5,U_3] :
( iext(uri_rdf_type,U_5,U_3)
| ~ icext(U_3,U_5) )
& ! [U_4,U_2] :
( icext(U_2,U_4)
| ~ iext(uri_rdf_type,U_4,U_2) ) ),
inference(miniscope,[status(thm)],[f_1_2]) ).
cnf(f_1_4,plain,
( icext(U_2,U_4)
| ~ iext(uri_rdf_type,U_4,U_2) ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_5,plain,
( iext(uri_rdf_type,U_5,U_3)
| ~ icext(U_3,U_5) ),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [Z,C] :
( ( ! [X] :
( ( icext(Z,X)
| icext(C,X) )
& ( ~ icext(C,X)
| ~ icext(Z,X) ) )
& ic(C)
& ic(Z) )
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(fof_nnf,[status(thm)],[owl_bool_complementof_class]) ).
fof(f_2_2,plain,
! [U_8,U_7] :
( ( ! [U_6] :
( ( icext(U_8,U_6)
| icext(U_7,U_6) )
& ( ~ icext(U_7,U_6)
| ~ icext(U_8,U_6) ) )
& ic(U_7)
& ic(U_8) )
| ~ iext(uri_owl_complementOf,U_8,U_7) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
! [U_8,U_7] :
( ( ! [U_10] :
( icext(U_8,U_10)
| icext(U_7,U_10) )
& ! [U_9] :
( ~ icext(U_7,U_9)
| ~ icext(U_8,U_9) )
& ic(U_7)
& ic(U_8) )
| ~ iext(uri_owl_complementOf,U_8,U_7) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
cnf(f_2_4,plain,
( ic(U_8)
| ~ iext(uri_owl_complementOf,U_8,U_7) ),
inference(clausify,[status(thm)],[f_2_3]) ).
cnf(f_2_5,plain,
( ic(U_7)
| ~ iext(uri_owl_complementOf,U_8,U_7) ),
inference(clausify,[status(thm)],[f_2_3]) ).
cnf(f_2_6,plain,
( ~ icext(U_7,U_9)
| ~ icext(U_8,U_9)
| ~ iext(uri_owl_complementOf,U_8,U_7) ),
inference(clausify,[status(thm)],[f_2_3]) ).
cnf(f_2_7,plain,
( icext(U_8,U_10)
| icext(U_7,U_10)
| ~ iext(uri_owl_complementOf,U_8,U_7) ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [Z,S1,C1,S2,C2] :
( ( ( iext(uri_owl_intersectionOf,Z,S1)
| ? [X] :
( ( ~ icext(Z,X)
& icext(C2,X)
& icext(C1,X) )
| ( ( ~ icext(C2,X)
| ~ icext(C1,X) )
& icext(Z,X) ) )
| ~ ic(C2)
| ~ ic(C1)
| ~ ic(Z) )
& ( ( ! [X] :
( ( icext(Z,X)
| ~ icext(C2,X)
| ~ icext(C1,X) )
& ( ( icext(C2,X)
& icext(C1,X) )
| ~ icext(Z,X) ) )
& ic(C2)
& ic(C1)
& ic(Z) )
| ~ iext(uri_owl_intersectionOf,Z,S1) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,C1) ),
inference(fof_nnf,[status(thm)],[owl_bool_intersectionof_class_002]) ).
fof(f_3_2,plain,
! [U_17,U_16,U_15,U_14,U_13] :
( ( ( iext(uri_owl_intersectionOf,U_17,U_16)
| ? [U_12] :
( ( ~ icext(U_17,U_12)
& icext(U_13,U_12)
& icext(U_15,U_12) )
| ( ( ~ icext(U_13,U_12)
| ~ icext(U_15,U_12) )
& icext(U_17,U_12) ) )
| ~ ic(U_13)
| ~ ic(U_15)
| ~ ic(U_17) )
& ( ( ! [U_11] :
( ( icext(U_17,U_11)
| ~ icext(U_13,U_11)
| ~ icext(U_15,U_11) )
& ( ( icext(U_13,U_11)
& icext(U_15,U_11) )
| ~ icext(U_17,U_11) ) )
& ic(U_13)
& ic(U_15)
& ic(U_17) )
| ~ iext(uri_owl_intersectionOf,U_17,U_16) ) )
| ~ iext(uri_rdf_rest,U_14,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_14,U_13)
| ~ iext(uri_rdf_rest,U_16,U_14)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_17,U_16,U_15,U_14,U_13] :
( ( ( iext(uri_owl_intersectionOf,U_17,U_16)
| ? [U_21] :
( ~ icext(U_17,U_21)
& icext(U_13,U_21)
& icext(U_15,U_21) )
| ? [U_20] :
( ( ~ icext(U_13,U_20)
| ~ icext(U_15,U_20) )
& icext(U_17,U_20) )
| ~ ic(U_13)
| ~ ic(U_15)
| ~ ic(U_17) )
& ( ( ! [U_19] :
( icext(U_17,U_19)
| ~ icext(U_13,U_19)
| ~ icext(U_15,U_19) )
& ! [U_18] :
( ( icext(U_13,U_18)
& icext(U_15,U_18) )
| ~ icext(U_17,U_18) )
& ic(U_13)
& ic(U_15)
& ic(U_17) )
| ~ iext(uri_owl_intersectionOf,U_17,U_16) ) )
| ~ iext(uri_rdf_rest,U_14,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_14,U_13)
| ~ iext(uri_rdf_rest,U_16,U_14)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
fof(f_3_4,plain,
! [U_17,U_16,U_15,U_14,U_13] :
( ( ( iext(uri_owl_intersectionOf,U_17,U_16)
| ? [U_21] :
( ~ icext(U_17,U_21)
& icext(U_13,U_21)
& icext(U_15,U_21) )
| ( ( ~ icext(U_13,sK1(U_17,U_16,U_15,U_14,U_13))
| ~ icext(U_15,sK1(U_17,U_16,U_15,U_14,U_13)) )
& icext(U_17,sK1(U_17,U_16,U_15,U_14,U_13)) )
| ~ ic(U_13)
| ~ ic(U_15)
| ~ ic(U_17) )
& ( ( ! [U_19] :
( icext(U_17,U_19)
| ~ icext(U_13,U_19)
| ~ icext(U_15,U_19) )
& ! [U_18] :
( ( icext(U_13,U_18)
& icext(U_15,U_18) )
| ~ icext(U_17,U_18) )
& ic(U_13)
& ic(U_15)
& ic(U_17) )
| ~ iext(uri_owl_intersectionOf,U_17,U_16) ) )
| ~ iext(uri_rdf_rest,U_14,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_14,U_13)
| ~ iext(uri_rdf_rest,U_16,U_14)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_20,sK1(U_17,U_16,U_15,U_14,U_13))],[f_3_3]) ).
fof(f_3_5,plain,
! [U_17,U_16,U_15,U_14,U_13] :
( ( ( iext(uri_owl_intersectionOf,U_17,U_16)
| ( ~ icext(U_17,sK2(U_17,U_16,U_15,U_14,U_13))
& icext(U_13,sK2(U_17,U_16,U_15,U_14,U_13))
& icext(U_15,sK2(U_17,U_16,U_15,U_14,U_13)) )
| ( ( ~ icext(U_13,sK1(U_17,U_16,U_15,U_14,U_13))
| ~ icext(U_15,sK1(U_17,U_16,U_15,U_14,U_13)) )
& icext(U_17,sK1(U_17,U_16,U_15,U_14,U_13)) )
| ~ ic(U_13)
| ~ ic(U_15)
| ~ ic(U_17) )
& ( ( ! [U_19] :
( icext(U_17,U_19)
| ~ icext(U_13,U_19)
| ~ icext(U_15,U_19) )
& ! [U_18] :
( ( icext(U_13,U_18)
& icext(U_15,U_18) )
| ~ icext(U_17,U_18) )
& ic(U_13)
& ic(U_15)
& ic(U_17) )
| ~ iext(uri_owl_intersectionOf,U_17,U_16) ) )
| ~ iext(uri_rdf_rest,U_14,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_14,U_13)
| ~ iext(uri_rdf_rest,U_16,U_14)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_21,sK2(U_17,U_16,U_15,U_14,U_13))],[f_3_4]) ).
cnf(f_3_6,plain,
( ic(U_17)
| ~ iext(uri_owl_intersectionOf,U_17,U_16)
| ~ iext(uri_rdf_rest,U_14,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_14,U_13)
| ~ iext(uri_rdf_rest,U_16,U_14)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_7,plain,
( ic(U_15)
| ~ iext(uri_owl_intersectionOf,U_17,U_16)
| ~ iext(uri_rdf_rest,U_14,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_14,U_13)
| ~ iext(uri_rdf_rest,U_16,U_14)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_8,plain,
( ic(U_13)
| ~ iext(uri_owl_intersectionOf,U_17,U_16)
| ~ iext(uri_rdf_rest,U_14,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_14,U_13)
| ~ iext(uri_rdf_rest,U_16,U_14)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_9,plain,
( icext(U_15,U_18)
| ~ icext(U_17,U_18)
| ~ iext(uri_owl_intersectionOf,U_17,U_16)
| ~ iext(uri_rdf_rest,U_14,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_14,U_13)
| ~ iext(uri_rdf_rest,U_16,U_14)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_10,plain,
( icext(U_13,U_18)
| ~ icext(U_17,U_18)
| ~ iext(uri_owl_intersectionOf,U_17,U_16)
| ~ iext(uri_rdf_rest,U_14,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_14,U_13)
| ~ iext(uri_rdf_rest,U_16,U_14)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_11,plain,
( icext(U_17,U_19)
| ~ icext(U_13,U_19)
| ~ icext(U_15,U_19)
| ~ iext(uri_owl_intersectionOf,U_17,U_16)
| ~ iext(uri_rdf_rest,U_14,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_14,U_13)
| ~ iext(uri_rdf_rest,U_16,U_14)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_12,plain,
( icext(U_15,sK2(U_17,U_16,U_15,U_14,U_13))
| icext(U_17,sK1(U_17,U_16,U_15,U_14,U_13))
| ~ ic(U_13)
| ~ ic(U_15)
| ~ ic(U_17)
| iext(uri_owl_intersectionOf,U_17,U_16)
| ~ iext(uri_rdf_rest,U_14,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_14,U_13)
| ~ iext(uri_rdf_rest,U_16,U_14)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_13,plain,
( icext(U_13,sK2(U_17,U_16,U_15,U_14,U_13))
| icext(U_17,sK1(U_17,U_16,U_15,U_14,U_13))
| ~ ic(U_13)
| ~ ic(U_15)
| ~ ic(U_17)
| iext(uri_owl_intersectionOf,U_17,U_16)
| ~ iext(uri_rdf_rest,U_14,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_14,U_13)
| ~ iext(uri_rdf_rest,U_16,U_14)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_14,plain,
( ~ icext(U_17,sK2(U_17,U_16,U_15,U_14,U_13))
| icext(U_17,sK1(U_17,U_16,U_15,U_14,U_13))
| ~ ic(U_13)
| ~ ic(U_15)
| ~ ic(U_17)
| iext(uri_owl_intersectionOf,U_17,U_16)
| ~ iext(uri_rdf_rest,U_14,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_14,U_13)
| ~ iext(uri_rdf_rest,U_16,U_14)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_15,plain,
( icext(U_15,sK2(U_17,U_16,U_15,U_14,U_13))
| ~ icext(U_13,sK1(U_17,U_16,U_15,U_14,U_13))
| ~ icext(U_15,sK1(U_17,U_16,U_15,U_14,U_13))
| ~ ic(U_13)
| ~ ic(U_15)
| ~ ic(U_17)
| iext(uri_owl_intersectionOf,U_17,U_16)
| ~ iext(uri_rdf_rest,U_14,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_14,U_13)
| ~ iext(uri_rdf_rest,U_16,U_14)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_16,plain,
( icext(U_13,sK2(U_17,U_16,U_15,U_14,U_13))
| ~ icext(U_13,sK1(U_17,U_16,U_15,U_14,U_13))
| ~ icext(U_15,sK1(U_17,U_16,U_15,U_14,U_13))
| ~ ic(U_13)
| ~ ic(U_15)
| ~ ic(U_17)
| iext(uri_owl_intersectionOf,U_17,U_16)
| ~ iext(uri_rdf_rest,U_14,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_14,U_13)
| ~ iext(uri_rdf_rest,U_16,U_14)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(clausify,[status(thm)],[f_3_5]) ).
cnf(f_3_17,plain,
( ~ icext(U_17,sK2(U_17,U_16,U_15,U_14,U_13))
| ~ icext(U_13,sK1(U_17,U_16,U_15,U_14,U_13))
| ~ icext(U_15,sK1(U_17,U_16,U_15,U_14,U_13))
| ~ ic(U_13)
| ~ ic(U_15)
| ~ ic(U_17)
| iext(uri_owl_intersectionOf,U_17,U_16)
| ~ iext(uri_rdf_rest,U_14,uri_rdf_nil)
| ~ iext(uri_rdf_first,U_14,U_13)
| ~ iext(uri_rdf_rest,U_16,U_14)
| ~ iext(uri_rdf_first,U_16,U_15) ),
inference(clausify,[status(thm)],[f_3_5]) ).
fof(f_4_1,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_B),
inference(negate,[status(cth)],[testcase_conclusion_fullish_029_Ex_Falso_Quodlibet]) ).
fof(f_4_2,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_B),
inference(definitional_conversion,[status(esa)],[f_4_1]) ).
cnf(f_4_3,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_B),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_1,plain,
? [BNODE_x,BNODE_y,BNODE_l1,BNODE_l2] :
( iext(uri_owl_complementOf,BNODE_y,uri_ex_A)
& iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l2,BNODE_y)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l1,uri_ex_A)
& iext(uri_owl_intersectionOf,BNODE_x,BNODE_l1)
& iext(uri_rdf_type,uri_ex_w,BNODE_x)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_A,uri_owl_Class) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).
fof(f_5_2,plain,
? [U_25,U_24,U_23,U_22] :
( iext(uri_owl_complementOf,U_24,uri_ex_A)
& iext(uri_rdf_rest,U_22,uri_rdf_nil)
& iext(uri_rdf_first,U_22,U_24)
& iext(uri_rdf_rest,U_23,U_22)
& iext(uri_rdf_first,U_23,uri_ex_A)
& iext(uri_owl_intersectionOf,U_25,U_23)
& iext(uri_rdf_type,uri_ex_w,U_25)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_A,uri_owl_Class) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ? [U_25] :
( ? [U_24] :
( ? [U_23] :
( ? [U_22] :
( iext(uri_rdf_rest,U_22,uri_rdf_nil)
& iext(uri_rdf_first,U_22,U_24)
& iext(uri_rdf_rest,U_23,U_22) )
& iext(uri_rdf_first,U_23,uri_ex_A)
& iext(uri_owl_intersectionOf,U_25,U_23) )
& iext(uri_owl_complementOf,U_24,uri_ex_A) )
& iext(uri_rdf_type,uri_ex_w,U_25) )
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_A,uri_owl_Class) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ? [U_24] :
( ? [U_23] :
( ? [U_22] :
( iext(uri_rdf_rest,U_22,uri_rdf_nil)
& iext(uri_rdf_first,U_22,U_24)
& iext(uri_rdf_rest,U_23,U_22) )
& iext(uri_rdf_first,U_23,uri_ex_A)
& iext(uri_owl_intersectionOf,sK3,U_23) )
& iext(uri_owl_complementOf,U_24,uri_ex_A) )
& iext(uri_rdf_type,uri_ex_w,sK3)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_A,uri_owl_Class) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_25,sK3)],[f_5_3]) ).
fof(f_5_5,plain,
( ? [U_23] :
( ? [U_22] :
( iext(uri_rdf_rest,U_22,uri_rdf_nil)
& iext(uri_rdf_first,U_22,sK4)
& iext(uri_rdf_rest,U_23,U_22) )
& iext(uri_rdf_first,U_23,uri_ex_A)
& iext(uri_owl_intersectionOf,sK3,U_23) )
& iext(uri_owl_complementOf,sK4,uri_ex_A)
& iext(uri_rdf_type,uri_ex_w,sK3)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_A,uri_owl_Class) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_24,sK4)],[f_5_4]) ).
fof(f_5_6,plain,
( ? [U_22] :
( iext(uri_rdf_rest,U_22,uri_rdf_nil)
& iext(uri_rdf_first,U_22,sK4)
& iext(uri_rdf_rest,sK5,U_22) )
& iext(uri_rdf_first,sK5,uri_ex_A)
& iext(uri_owl_intersectionOf,sK3,sK5)
& iext(uri_owl_complementOf,sK4,uri_ex_A)
& iext(uri_rdf_type,uri_ex_w,sK3)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_A,uri_owl_Class) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_23,sK5)],[f_5_5]) ).
fof(f_5_7,plain,
( iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_first,sK6,sK4)
& iext(uri_rdf_rest,sK5,sK6)
& iext(uri_rdf_first,sK5,uri_ex_A)
& iext(uri_owl_intersectionOf,sK3,sK5)
& iext(uri_owl_complementOf,sK4,uri_ex_A)
& iext(uri_rdf_type,uri_ex_w,sK3)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_A,uri_owl_Class) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_22,sK6)],[f_5_6]) ).
cnf(f_5_8,plain,
iext(uri_rdf_type,uri_ex_A,uri_owl_Class),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_9,plain,
iext(uri_rdf_type,uri_ex_B,uri_owl_Class),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_10,plain,
iext(uri_rdf_type,uri_ex_w,sK3),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_11,plain,
iext(uri_owl_complementOf,sK4,uri_ex_A),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_12,plain,
iext(uri_owl_intersectionOf,sK3,sK5),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_13,plain,
iext(uri_rdf_first,sK5,uri_ex_A),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_14,plain,
iext(uri_rdf_rest,sK5,sK6),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_15,plain,
iext(uri_rdf_first,sK6,sK4),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(f_5_16,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(clausify,[status(thm)],[f_5_7]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB029+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 This is a FOF_CAX_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n008.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sun Sep 20 01:14:23 UTC 2026
% 0.07/0.34 % CPUTime :
% 124.46/124.79 % SZS status Theorem for theBenchmark
% 124.46/124.79 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------