TSTP Solution File: SWB029+2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWB029+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 : 600s
% DateTime : Tue Jul 19 19:15:31 EDT 2022
% Result : Theorem 0.21s 0.43s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 71 ( 22 unt; 0 def)
% Number of atoms : 329 ( 0 equ)
% Maximal formula atoms : 71 ( 4 avg)
% Number of connectives : 465 ( 207 ~; 193 |; 51 &)
% ( 12 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-3 aty)
% Number of variables : 148 ( 12 sgn 59 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(rdfs_cext_def,axiom,
! [X,C] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ) ).
fof(owl_bool_complementof_class,axiom,
! [Z,C] :
( iext(uri_owl_complementOf,Z,C)
=> ( ic(Z)
& ic(C)
& ! [X] :
( icext(Z,X)
<=> ~ icext(C,X) ) ) ) ).
fof(owl_bool_intersectionof_class_002,axiom,
! [Z,S1,C1,S2,C2] :
( ( iext(uri_rdf_first,S1,C1)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S2,C2)
& iext(uri_rdf_rest,S2,uri_rdf_nil) )
=> ( iext(uri_owl_intersectionOf,Z,S1)
<=> ( ic(Z)
& ic(C1)
& ic(C2)
& ! [X] :
( icext(Z,X)
<=> ( icext(C1,X)
& icext(C2,X) ) ) ) ) ) ).
fof(testcase_conclusion_fullish_029_Ex_Falso_Quodlibet,conjecture,
iext(uri_rdf_type,uri_ex_w,uri_ex_B) ).
fof(testcase_premise_fullish_029_Ex_Falso_Quodlibet,axiom,
? [BNODE_x,BNODE_y,BNODE_l1,BNODE_l2] :
( iext(uri_rdf_type,uri_ex_A,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,BNODE_x)
& iext(uri_owl_intersectionOf,BNODE_x,BNODE_l1)
& iext(uri_rdf_first,BNODE_l1,uri_ex_A)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_first,BNODE_l2,BNODE_y)
& iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
& iext(uri_owl_complementOf,BNODE_y,uri_ex_A) ) ).
fof(subgoal_0,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_B),
inference(strip,[],[testcase_conclusion_fullish_029_Ex_Falso_Quodlibet]) ).
fof(negate_0_0,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_B),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [BNODE_l1,BNODE_l2,BNODE_x,BNODE_y] :
( iext(uri_owl_complementOf,BNODE_y,uri_ex_A)
& iext(uri_owl_intersectionOf,BNODE_x,BNODE_l1)
& iext(uri_rdf_first,BNODE_l1,uri_ex_A)
& iext(uri_rdf_first,BNODE_l2,BNODE_y)
& iext(uri_rdf_rest,BNODE_l1,BNODE_l2)
& iext(uri_rdf_rest,BNODE_l2,uri_rdf_nil)
& iext(uri_rdf_type,uri_ex_A,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,BNODE_x) ),
inference(canonicalize,[],[testcase_premise_fullish_029_Ex_Falso_Quodlibet]) ).
fof(normalize_0_1,plain,
( iext(uri_owl_complementOf,skolemFOFtoCNF_BNODE_y,uri_ex_A)
& iext(uri_owl_intersectionOf,skolemFOFtoCNF_BNODE_x,skolemFOFtoCNF_BNODE_l1)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_ex_A)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,skolemFOFtoCNF_BNODE_y)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,skolemFOFtoCNF_BNODE_l2)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l2,uri_rdf_nil)
& iext(uri_rdf_type,uri_ex_A,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,skolemFOFtoCNF_BNODE_x) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
iext(uri_owl_complementOf,skolemFOFtoCNF_BNODE_y,uri_ex_A),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [C,Z] :
( ~ iext(uri_owl_complementOf,Z,C)
| ( ic(C)
& ic(Z)
& ! [X] :
( ~ icext(C,X)
<=> icext(Z,X) ) ) ),
inference(canonicalize,[],[owl_bool_complementof_class]) ).
fof(normalize_0_4,plain,
! [C,Z] :
( ~ iext(uri_owl_complementOf,Z,C)
| ( ic(C)
& ic(Z)
& ! [X] :
( ~ icext(C,X)
<=> icext(Z,X) ) ) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [C,X,Z] :
( ( ~ iext(uri_owl_complementOf,Z,C)
| ic(C) )
& ( ~ iext(uri_owl_complementOf,Z,C)
| ic(Z) )
& ( ~ icext(C,X)
| ~ icext(Z,X)
| ~ iext(uri_owl_complementOf,Z,C) )
& ( ~ iext(uri_owl_complementOf,Z,C)
| icext(C,X)
| icext(Z,X) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [C,X,Z] :
( ~ icext(C,X)
| ~ icext(Z,X)
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
iext(uri_rdf_type,uri_ex_w,skolemFOFtoCNF_BNODE_x),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_8,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(canonicalize,[],[rdfs_cext_def]) ).
fof(normalize_0_9,plain,
! [C,X] :
( ~ icext(C,X)
<=> ~ iext(uri_rdf_type,X,C) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [C,X] :
( ( ~ icext(C,X)
| iext(uri_rdf_type,X,C) )
& ( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [C,X] :
( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
iext(uri_owl_intersectionOf,skolemFOFtoCNF_BNODE_x,skolemFOFtoCNF_BNODE_l1),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_13,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_ex_A),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_14,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,skolemFOFtoCNF_BNODE_y),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_15,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,skolemFOFtoCNF_BNODE_l2),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_16,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l2,uri_rdf_nil),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_17,plain,
! [C1,C2,S1,S2,Z] :
( ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ( ~ iext(uri_owl_intersectionOf,Z,S1)
<=> ( ~ ic(C1)
| ~ ic(C2)
| ~ ic(Z)
| ? [X] :
( ~ icext(Z,X)
<=> ( icext(C1,X)
& icext(C2,X) ) ) ) ) ),
inference(canonicalize,[],[owl_bool_intersectionof_class_002]) ).
fof(normalize_0_18,plain,
! [C1,C2,S1,S2,Z] :
( ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ( ~ iext(uri_owl_intersectionOf,Z,S1)
<=> ( ~ ic(C1)
| ~ ic(C2)
| ~ ic(Z)
| ? [X] :
( ~ icext(Z,X)
<=> ( icext(C1,X)
& icext(C2,X) ) ) ) ) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [C1,C2,S1,S2,X,Z] :
( ( ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ic(C1) )
& ( ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ic(C2) )
& ( ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ic(Z) )
& ( ~ icext(Z,X)
| ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| icext(C1,X) )
& ( ~ icext(Z,X)
| ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| icext(C2,X) )
& ( ~ icext(C1,X)
| ~ icext(C2,X)
| ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| icext(Z,X) )
& ( ~ ic(C1)
| ~ ic(C2)
| ~ ic(Z)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| icext(C1,skolemFOFtoCNF_X(C1,C2,Z))
| icext(Z,skolemFOFtoCNF_X(C1,C2,Z))
| iext(uri_owl_intersectionOf,Z,S1) )
& ( ~ ic(C1)
| ~ ic(C2)
| ~ ic(Z)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| icext(C2,skolemFOFtoCNF_X(C1,C2,Z))
| icext(Z,skolemFOFtoCNF_X(C1,C2,Z))
| iext(uri_owl_intersectionOf,Z,S1) )
& ( ~ ic(C1)
| ~ ic(C2)
| ~ ic(Z)
| ~ icext(C1,skolemFOFtoCNF_X(C1,C2,Z))
| ~ icext(C2,skolemFOFtoCNF_X(C1,C2,Z))
| ~ icext(Z,skolemFOFtoCNF_X(C1,C2,Z))
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| iext(uri_owl_intersectionOf,Z,S1) ) ),
inference(clausify,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [C1,C2,S1,S2,X,Z] :
( ~ icext(Z,X)
| ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| icext(C1,X) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [C1,C2,S1,S2,X,Z] :
( ~ icext(Z,X)
| ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| icext(C2,X) ),
inference(conjunct,[],[normalize_0_19]) ).
cnf(refute_0_0,plain,
iext(uri_owl_complementOf,skolemFOFtoCNF_BNODE_y,uri_ex_A),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ icext(C,X)
| ~ icext(Z,X)
| ~ iext(uri_owl_complementOf,Z,C) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( ~ icext(skolemFOFtoCNF_BNODE_y,X_17)
| ~ icext(uri_ex_A,X_17)
| ~ iext(uri_owl_complementOf,skolemFOFtoCNF_BNODE_y,uri_ex_A) ),
inference(subst,[],[refute_0_1:[bind(C,$fot(uri_ex_A)),bind(X,$fot(X_17)),bind(Z,$fot(skolemFOFtoCNF_BNODE_y))]]) ).
cnf(refute_0_3,plain,
( ~ icext(skolemFOFtoCNF_BNODE_y,X_17)
| ~ icext(uri_ex_A,X_17) ),
inference(resolve,[$cnf( iext(uri_owl_complementOf,skolemFOFtoCNF_BNODE_y,uri_ex_A) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ icext(skolemFOFtoCNF_BNODE_y,uri_ex_w)
| ~ icext(uri_ex_A,uri_ex_w) ),
inference(subst,[],[refute_0_3:[bind(X_17,$fot(uri_ex_w))]]) ).
cnf(refute_0_5,plain,
iext(uri_rdf_type,uri_ex_w,skolemFOFtoCNF_BNODE_x),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_6,plain,
( ~ iext(uri_rdf_type,X,C)
| icext(C,X) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_7,plain,
( ~ iext(uri_rdf_type,uri_ex_w,skolemFOFtoCNF_BNODE_x)
| icext(skolemFOFtoCNF_BNODE_x,uri_ex_w) ),
inference(subst,[],[refute_0_6:[bind(C,$fot(skolemFOFtoCNF_BNODE_x)),bind(X,$fot(uri_ex_w))]]) ).
cnf(refute_0_8,plain,
icext(skolemFOFtoCNF_BNODE_x,uri_ex_w),
inference(resolve,[$cnf( iext(uri_rdf_type,uri_ex_w,skolemFOFtoCNF_BNODE_x) )],[refute_0_5,refute_0_7]) ).
cnf(refute_0_9,plain,
iext(uri_owl_intersectionOf,skolemFOFtoCNF_BNODE_x,skolemFOFtoCNF_BNODE_l1),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_ex_A),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_11,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,skolemFOFtoCNF_BNODE_y),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_12,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,skolemFOFtoCNF_BNODE_l2),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_13,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l2,uri_rdf_nil),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_14,plain,
( ~ icext(Z,X)
| ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| icext(C1,X) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_15,plain,
( ~ icext(X_211,X_210)
| ~ iext(uri_owl_intersectionOf,X_211,X_208)
| ~ iext(uri_rdf_first,X_208,X_206)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,X_207)
| ~ iext(uri_rdf_rest,X_208,skolemFOFtoCNF_BNODE_l2)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l2,uri_rdf_nil)
| icext(X_206,X_210) ),
inference(subst,[],[refute_0_14:[bind(C1,$fot(X_206)),bind(C2,$fot(X_207)),bind(S1,$fot(X_208)),bind(S2,$fot(skolemFOFtoCNF_BNODE_l2)),bind(X,$fot(X_210)),bind(Z,$fot(X_211))]]) ).
cnf(refute_0_16,plain,
( ~ icext(X_211,X_210)
| ~ iext(uri_owl_intersectionOf,X_211,X_208)
| ~ iext(uri_rdf_first,X_208,X_206)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,X_207)
| ~ iext(uri_rdf_rest,X_208,skolemFOFtoCNF_BNODE_l2)
| icext(X_206,X_210) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l2,uri_rdf_nil) )],[refute_0_13,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ icext(X_216,X_215)
| ~ iext(uri_owl_intersectionOf,X_216,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_212)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,X_213)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,skolemFOFtoCNF_BNODE_l2)
| icext(X_212,X_215) ),
inference(subst,[],[refute_0_16:[bind(X_206,$fot(X_212)),bind(X_207,$fot(X_213)),bind(X_208,$fot(skolemFOFtoCNF_BNODE_l1)),bind(X_210,$fot(X_215)),bind(X_211,$fot(X_216))]]) ).
cnf(refute_0_18,plain,
( ~ icext(X_216,X_215)
| ~ iext(uri_owl_intersectionOf,X_216,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_212)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,X_213)
| icext(X_212,X_215) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,skolemFOFtoCNF_BNODE_l2) )],[refute_0_12,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ icext(X_220,X_219)
| ~ iext(uri_owl_intersectionOf,X_220,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_217)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,skolemFOFtoCNF_BNODE_y)
| icext(X_217,X_219) ),
inference(subst,[],[refute_0_18:[bind(X_212,$fot(X_217)),bind(X_213,$fot(skolemFOFtoCNF_BNODE_y)),bind(X_215,$fot(X_219)),bind(X_216,$fot(X_220))]]) ).
cnf(refute_0_20,plain,
( ~ icext(X_220,X_219)
| ~ iext(uri_owl_intersectionOf,X_220,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_217)
| icext(X_217,X_219) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,skolemFOFtoCNF_BNODE_y) )],[refute_0_11,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ icext(X_223,X_222)
| ~ iext(uri_owl_intersectionOf,X_223,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_ex_A)
| icext(uri_ex_A,X_222) ),
inference(subst,[],[refute_0_20:[bind(X_217,$fot(uri_ex_A)),bind(X_219,$fot(X_222)),bind(X_220,$fot(X_223))]]) ).
cnf(refute_0_22,plain,
( ~ icext(X_223,X_222)
| ~ iext(uri_owl_intersectionOf,X_223,skolemFOFtoCNF_BNODE_l1)
| icext(uri_ex_A,X_222) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_ex_A) )],[refute_0_10,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ icext(skolemFOFtoCNF_BNODE_x,X_224)
| ~ iext(uri_owl_intersectionOf,skolemFOFtoCNF_BNODE_x,skolemFOFtoCNF_BNODE_l1)
| icext(uri_ex_A,X_224) ),
inference(subst,[],[refute_0_22:[bind(X_222,$fot(X_224)),bind(X_223,$fot(skolemFOFtoCNF_BNODE_x))]]) ).
cnf(refute_0_24,plain,
( ~ icext(skolemFOFtoCNF_BNODE_x,X_224)
| icext(uri_ex_A,X_224) ),
inference(resolve,[$cnf( iext(uri_owl_intersectionOf,skolemFOFtoCNF_BNODE_x,skolemFOFtoCNF_BNODE_l1) )],[refute_0_9,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ icext(skolemFOFtoCNF_BNODE_x,uri_ex_w)
| icext(uri_ex_A,uri_ex_w) ),
inference(subst,[],[refute_0_24:[bind(X_224,$fot(uri_ex_w))]]) ).
cnf(refute_0_26,plain,
icext(uri_ex_A,uri_ex_w),
inference(resolve,[$cnf( icext(skolemFOFtoCNF_BNODE_x,uri_ex_w) )],[refute_0_8,refute_0_25]) ).
cnf(refute_0_27,plain,
~ icext(skolemFOFtoCNF_BNODE_y,uri_ex_w),
inference(resolve,[$cnf( icext(uri_ex_A,uri_ex_w) )],[refute_0_26,refute_0_4]) ).
cnf(refute_0_28,plain,
( ~ icext(Z,X)
| ~ iext(uri_owl_intersectionOf,Z,S1)
| ~ iext(uri_rdf_first,S1,C1)
| ~ iext(uri_rdf_first,S2,C2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| icext(C2,X) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_29,plain,
( ~ icext(X_183,X_182)
| ~ iext(uri_owl_intersectionOf,X_183,X_180)
| ~ iext(uri_rdf_first,X_180,X_178)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,X_179)
| ~ iext(uri_rdf_rest,X_180,skolemFOFtoCNF_BNODE_l2)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l2,uri_rdf_nil)
| icext(X_179,X_182) ),
inference(subst,[],[refute_0_28:[bind(C1,$fot(X_178)),bind(C2,$fot(X_179)),bind(S1,$fot(X_180)),bind(S2,$fot(skolemFOFtoCNF_BNODE_l2)),bind(X,$fot(X_182)),bind(Z,$fot(X_183))]]) ).
cnf(refute_0_30,plain,
( ~ icext(X_183,X_182)
| ~ iext(uri_owl_intersectionOf,X_183,X_180)
| ~ iext(uri_rdf_first,X_180,X_178)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,X_179)
| ~ iext(uri_rdf_rest,X_180,skolemFOFtoCNF_BNODE_l2)
| icext(X_179,X_182) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l2,uri_rdf_nil) )],[refute_0_13,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ icext(X_188,X_187)
| ~ iext(uri_owl_intersectionOf,X_188,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_184)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,X_185)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,skolemFOFtoCNF_BNODE_l2)
| icext(X_185,X_187) ),
inference(subst,[],[refute_0_30:[bind(X_178,$fot(X_184)),bind(X_179,$fot(X_185)),bind(X_180,$fot(skolemFOFtoCNF_BNODE_l1)),bind(X_182,$fot(X_187)),bind(X_183,$fot(X_188))]]) ).
cnf(refute_0_32,plain,
( ~ icext(X_188,X_187)
| ~ iext(uri_owl_intersectionOf,X_188,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_184)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,X_185)
| icext(X_185,X_187) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l1,skolemFOFtoCNF_BNODE_l2) )],[refute_0_12,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ icext(X_192,X_191)
| ~ iext(uri_owl_intersectionOf,X_192,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_189)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,skolemFOFtoCNF_BNODE_y)
| icext(skolemFOFtoCNF_BNODE_y,X_191) ),
inference(subst,[],[refute_0_32:[bind(X_184,$fot(X_189)),bind(X_185,$fot(skolemFOFtoCNF_BNODE_y)),bind(X_187,$fot(X_191)),bind(X_188,$fot(X_192))]]) ).
cnf(refute_0_34,plain,
( ~ icext(X_192,X_191)
| ~ iext(uri_owl_intersectionOf,X_192,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,X_189)
| icext(skolemFOFtoCNF_BNODE_y,X_191) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l2,skolemFOFtoCNF_BNODE_y) )],[refute_0_11,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ icext(X_195,X_194)
| ~ iext(uri_owl_intersectionOf,X_195,skolemFOFtoCNF_BNODE_l1)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_ex_A)
| icext(skolemFOFtoCNF_BNODE_y,X_194) ),
inference(subst,[],[refute_0_34:[bind(X_189,$fot(uri_ex_A)),bind(X_191,$fot(X_194)),bind(X_192,$fot(X_195))]]) ).
cnf(refute_0_36,plain,
( ~ icext(X_195,X_194)
| ~ iext(uri_owl_intersectionOf,X_195,skolemFOFtoCNF_BNODE_l1)
| icext(skolemFOFtoCNF_BNODE_y,X_194) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l1,uri_ex_A) )],[refute_0_10,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ icext(skolemFOFtoCNF_BNODE_x,X_199)
| ~ iext(uri_owl_intersectionOf,skolemFOFtoCNF_BNODE_x,skolemFOFtoCNF_BNODE_l1)
| icext(skolemFOFtoCNF_BNODE_y,X_199) ),
inference(subst,[],[refute_0_36:[bind(X_194,$fot(X_199)),bind(X_195,$fot(skolemFOFtoCNF_BNODE_x))]]) ).
cnf(refute_0_38,plain,
( ~ icext(skolemFOFtoCNF_BNODE_x,X_199)
| icext(skolemFOFtoCNF_BNODE_y,X_199) ),
inference(resolve,[$cnf( iext(uri_owl_intersectionOf,skolemFOFtoCNF_BNODE_x,skolemFOFtoCNF_BNODE_l1) )],[refute_0_9,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ icext(skolemFOFtoCNF_BNODE_x,uri_ex_w)
| icext(skolemFOFtoCNF_BNODE_y,uri_ex_w) ),
inference(subst,[],[refute_0_38:[bind(X_199,$fot(uri_ex_w))]]) ).
cnf(refute_0_40,plain,
icext(skolemFOFtoCNF_BNODE_y,uri_ex_w),
inference(resolve,[$cnf( icext(skolemFOFtoCNF_BNODE_x,uri_ex_w) )],[refute_0_8,refute_0_39]) ).
cnf(refute_0_41,plain,
$false,
inference(resolve,[$cnf( icext(skolemFOFtoCNF_BNODE_y,uri_ex_w) )],[refute_0_40,refute_0_27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWB029+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 1 05:32:26 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.43
% 0.21/0.43 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.21/0.44
%------------------------------------------------------------------------------