%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEU257+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 12:39:45 EDT 2022
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 98 ( 25 unt; 0 def)
% Number of atoms : 276 ( 0 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 331 ( 153 ~; 144 |; 15 &)
% ( 3 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 103 ( 29 sgn 54 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d4_wellord1,axiom,
! [A] :
( relation(A)
=> ( well_ordering(A)
<=> ( reflexive(A)
& transitive(A)
& antisymmetric(A)
& connected(A)
& well_founded_relation(A) ) ) ) ).
fof(dt_k2_wellord1,axiom,
! [A,B] :
( relation(A)
=> relation(relation_restriction(A,B)) ) ).
fof(t22_wellord1,axiom,
! [A,B] :
( relation(B)
=> ( reflexive(B)
=> reflexive(relation_restriction(B,A)) ) ) ).
fof(t23_wellord1,axiom,
! [A,B] :
( relation(B)
=> ( connected(B)
=> connected(relation_restriction(B,A)) ) ) ).
fof(t24_wellord1,axiom,
! [A,B] :
( relation(B)
=> ( transitive(B)
=> transitive(relation_restriction(B,A)) ) ) ).
fof(t25_wellord1,axiom,
! [A,B] :
( relation(B)
=> ( antisymmetric(B)
=> antisymmetric(relation_restriction(B,A)) ) ) ).
fof(t31_wellord1,axiom,
! [A,B] :
( relation(B)
=> ( well_founded_relation(B)
=> well_founded_relation(relation_restriction(B,A)) ) ) ).
fof(t32_wellord1,conjecture,
! [A,B] :
( relation(B)
=> ( well_ordering(B)
=> well_ordering(relation_restriction(B,A)) ) ) ).
fof(subgoal_0,plain,
! [A,B] :
( ( relation(B)
& well_ordering(B) )
=> well_ordering(relation_restriction(B,A)) ),
inference(strip,[],[t32_wellord1]) ).
fof(negate_0_0,plain,
~ ! [A,B] :
( ( relation(B)
& well_ordering(B) )
=> well_ordering(relation_restriction(B,A)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B] :
( ~ well_ordering(relation_restriction(B,A))
& relation(B)
& well_ordering(B) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ well_ordering(relation_restriction(skolemFOFtoCNF_B,skolemFOFtoCNF_A))
& relation(skolemFOFtoCNF_B)
& well_ordering(skolemFOFtoCNF_B) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
~ well_ordering(relation_restriction(skolemFOFtoCNF_B,skolemFOFtoCNF_A)),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
well_ordering(skolemFOFtoCNF_B),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_4,plain,
! [A] :
( ~ relation(A)
| ( ~ well_ordering(A)
<=> ( ~ antisymmetric(A)
| ~ connected(A)
| ~ reflexive(A)
| ~ transitive(A)
| ~ well_founded_relation(A) ) ) ),
inference(canonicalize,[],[d4_wellord1]) ).
fof(normalize_0_5,plain,
! [A] :
( ~ relation(A)
| ( ~ well_ordering(A)
<=> ( ~ antisymmetric(A)
| ~ connected(A)
| ~ reflexive(A)
| ~ transitive(A)
| ~ well_founded_relation(A) ) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A] :
( ( ~ relation(A)
| ~ well_ordering(A)
| antisymmetric(A) )
& ( ~ relation(A)
| ~ well_ordering(A)
| connected(A) )
& ( ~ relation(A)
| ~ well_ordering(A)
| reflexive(A) )
& ( ~ relation(A)
| ~ well_ordering(A)
| transitive(A) )
& ( ~ relation(A)
| ~ well_ordering(A)
| well_founded_relation(A) )
& ( ~ antisymmetric(A)
| ~ connected(A)
| ~ reflexive(A)
| ~ relation(A)
| ~ transitive(A)
| ~ well_founded_relation(A)
| well_ordering(A) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A] :
( ~ relation(A)
| ~ well_ordering(A)
| well_founded_relation(A) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
relation(skolemFOFtoCNF_B),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_9,plain,
! [A,B] :
( ~ relation(B)
| ~ well_founded_relation(B)
| well_founded_relation(relation_restriction(B,A)) ),
inference(canonicalize,[],[t31_wellord1]) ).
fof(normalize_0_10,plain,
! [A,B] :
( ~ relation(B)
| ~ well_founded_relation(B)
| well_founded_relation(relation_restriction(B,A)) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A] :
( ~ antisymmetric(A)
| ~ connected(A)
| ~ reflexive(A)
| ~ relation(A)
| ~ transitive(A)
| ~ well_founded_relation(A)
| well_ordering(A) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_12,plain,
! [A,B] :
( ~ antisymmetric(B)
| ~ relation(B)
| antisymmetric(relation_restriction(B,A)) ),
inference(canonicalize,[],[t25_wellord1]) ).
fof(normalize_0_13,plain,
! [A,B] :
( ~ antisymmetric(B)
| ~ relation(B)
| antisymmetric(relation_restriction(B,A)) ),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [A] :
( ~ relation(A)
| ~ well_ordering(A)
| antisymmetric(A) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_15,plain,
! [A,B] :
( ~ connected(B)
| ~ relation(B)
| connected(relation_restriction(B,A)) ),
inference(canonicalize,[],[t23_wellord1]) ).
fof(normalize_0_16,plain,
! [A,B] :
( ~ connected(B)
| ~ relation(B)
| connected(relation_restriction(B,A)) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A] :
( ~ relation(A)
| ~ well_ordering(A)
| connected(A) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_18,plain,
! [A,B] :
( ~ reflexive(B)
| ~ relation(B)
| reflexive(relation_restriction(B,A)) ),
inference(canonicalize,[],[t22_wellord1]) ).
fof(normalize_0_19,plain,
! [A,B] :
( ~ reflexive(B)
| ~ relation(B)
| reflexive(relation_restriction(B,A)) ),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [A] :
( ~ relation(A)
| ~ well_ordering(A)
| reflexive(A) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_21,plain,
! [A] :
( ~ relation(A)
| ! [B] : relation(relation_restriction(A,B)) ),
inference(canonicalize,[],[dt_k2_wellord1]) ).
fof(normalize_0_22,plain,
! [A] :
( ~ relation(A)
| ! [B] : relation(relation_restriction(A,B)) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A,B] :
( ~ relation(A)
| relation(relation_restriction(A,B)) ),
inference(clausify,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [A] :
( ~ relation(A)
| ~ well_ordering(A)
| transitive(A) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_25,plain,
! [A,B] :
( ~ relation(B)
| ~ transitive(B)
| transitive(relation_restriction(B,A)) ),
inference(canonicalize,[],[t24_wellord1]) ).
fof(normalize_0_26,plain,
! [A,B] :
( ~ relation(B)
| ~ transitive(B)
| transitive(relation_restriction(B,A)) ),
inference(specialize,[],[normalize_0_25]) ).
cnf(refute_0_0,plain,
~ well_ordering(relation_restriction(skolemFOFtoCNF_B,skolemFOFtoCNF_A)),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
well_ordering(skolemFOFtoCNF_B),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
( ~ relation(A)
| ~ well_ordering(A)
| well_founded_relation(A) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( ~ relation(skolemFOFtoCNF_B)
| ~ well_ordering(skolemFOFtoCNF_B)
| well_founded_relation(skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_4,plain,
( ~ relation(skolemFOFtoCNF_B)
| well_founded_relation(skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( well_ordering(skolemFOFtoCNF_B) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
relation(skolemFOFtoCNF_B),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
well_founded_relation(skolemFOFtoCNF_B),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_B) )],[refute_0_5,refute_0_4]) ).
cnf(refute_0_7,plain,
( ~ relation(B)
| ~ well_founded_relation(B)
| well_founded_relation(relation_restriction(B,A)) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
( ~ relation(skolemFOFtoCNF_B)
| ~ well_founded_relation(skolemFOFtoCNF_B)
| well_founded_relation(relation_restriction(skolemFOFtoCNF_B,X_64)) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_64)),bind(B,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_9,plain,
( ~ relation(skolemFOFtoCNF_B)
| well_founded_relation(relation_restriction(skolemFOFtoCNF_B,X_64)) ),
inference(resolve,[$cnf( well_founded_relation(skolemFOFtoCNF_B) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
well_founded_relation(relation_restriction(skolemFOFtoCNF_B,X_64)),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_B) )],[refute_0_5,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ antisymmetric(A)
| ~ connected(A)
| ~ reflexive(A)
| ~ relation(A)
| ~ transitive(A)
| ~ well_founded_relation(A)
| well_ordering(A) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_12,plain,
( ~ antisymmetric(relation_restriction(skolemFOFtoCNF_B,X_64))
| ~ connected(relation_restriction(skolemFOFtoCNF_B,X_64))
| ~ reflexive(relation_restriction(skolemFOFtoCNF_B,X_64))
| ~ relation(relation_restriction(skolemFOFtoCNF_B,X_64))
| ~ transitive(relation_restriction(skolemFOFtoCNF_B,X_64))
| ~ well_founded_relation(relation_restriction(skolemFOFtoCNF_B,X_64))
| well_ordering(relation_restriction(skolemFOFtoCNF_B,X_64)) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(relation_restriction(skolemFOFtoCNF_B,X_64)))]]) ).
cnf(refute_0_13,plain,
( ~ antisymmetric(relation_restriction(skolemFOFtoCNF_B,X_64))
| ~ connected(relation_restriction(skolemFOFtoCNF_B,X_64))
| ~ reflexive(relation_restriction(skolemFOFtoCNF_B,X_64))
| ~ relation(relation_restriction(skolemFOFtoCNF_B,X_64))
| ~ transitive(relation_restriction(skolemFOFtoCNF_B,X_64))
| well_ordering(relation_restriction(skolemFOFtoCNF_B,X_64)) ),
inference(resolve,[$cnf( well_founded_relation(relation_restriction(skolemFOFtoCNF_B,X_64)) )],[refute_0_10,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ antisymmetric(B)
| ~ relation(B)
| antisymmetric(relation_restriction(B,A)) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_15,plain,
( ~ antisymmetric(skolemFOFtoCNF_B)
| ~ relation(skolemFOFtoCNF_B)
| antisymmetric(relation_restriction(skolemFOFtoCNF_B,X_38)) ),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_38)),bind(B,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_16,plain,
( ~ antisymmetric(skolemFOFtoCNF_B)
| antisymmetric(relation_restriction(skolemFOFtoCNF_B,X_38)) ),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_B) )],[refute_0_5,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ relation(A)
| ~ well_ordering(A)
| antisymmetric(A) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_18,plain,
( ~ relation(skolemFOFtoCNF_B)
| ~ well_ordering(skolemFOFtoCNF_B)
| antisymmetric(skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_19,plain,
( ~ relation(skolemFOFtoCNF_B)
| antisymmetric(skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( well_ordering(skolemFOFtoCNF_B) )],[refute_0_1,refute_0_18]) ).
cnf(refute_0_20,plain,
antisymmetric(skolemFOFtoCNF_B),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_B) )],[refute_0_5,refute_0_19]) ).
cnf(refute_0_21,plain,
antisymmetric(relation_restriction(skolemFOFtoCNF_B,X_38)),
inference(resolve,[$cnf( antisymmetric(skolemFOFtoCNF_B) )],[refute_0_20,refute_0_16]) ).
cnf(refute_0_22,plain,
antisymmetric(relation_restriction(skolemFOFtoCNF_B,X_64)),
inference(subst,[],[refute_0_21:[bind(X_38,$fot(X_64))]]) ).
cnf(refute_0_23,plain,
( ~ connected(relation_restriction(skolemFOFtoCNF_B,X_64))
| ~ reflexive(relation_restriction(skolemFOFtoCNF_B,X_64))
| ~ relation(relation_restriction(skolemFOFtoCNF_B,X_64))
| ~ transitive(relation_restriction(skolemFOFtoCNF_B,X_64))
| well_ordering(relation_restriction(skolemFOFtoCNF_B,X_64)) ),
inference(resolve,[$cnf( antisymmetric(relation_restriction(skolemFOFtoCNF_B,X_64)) )],[refute_0_22,refute_0_13]) ).
cnf(refute_0_24,plain,
( ~ connected(B)
| ~ relation(B)
| connected(relation_restriction(B,A)) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_25,plain,
( ~ connected(skolemFOFtoCNF_B)
| ~ relation(skolemFOFtoCNF_B)
| connected(relation_restriction(skolemFOFtoCNF_B,X_44)) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_44)),bind(B,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_26,plain,
( ~ connected(skolemFOFtoCNF_B)
| connected(relation_restriction(skolemFOFtoCNF_B,X_44)) ),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_B) )],[refute_0_5,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ relation(A)
| ~ well_ordering(A)
| connected(A) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_28,plain,
( ~ relation(skolemFOFtoCNF_B)
| ~ well_ordering(skolemFOFtoCNF_B)
| connected(skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_27:[bind(A,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_29,plain,
( ~ relation(skolemFOFtoCNF_B)
| connected(skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( well_ordering(skolemFOFtoCNF_B) )],[refute_0_1,refute_0_28]) ).
cnf(refute_0_30,plain,
connected(skolemFOFtoCNF_B),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_B) )],[refute_0_5,refute_0_29]) ).
cnf(refute_0_31,plain,
connected(relation_restriction(skolemFOFtoCNF_B,X_44)),
inference(resolve,[$cnf( connected(skolemFOFtoCNF_B) )],[refute_0_30,refute_0_26]) ).
cnf(refute_0_32,plain,
connected(relation_restriction(skolemFOFtoCNF_B,X_64)),
inference(subst,[],[refute_0_31:[bind(X_44,$fot(X_64))]]) ).
cnf(refute_0_33,plain,
( ~ reflexive(relation_restriction(skolemFOFtoCNF_B,X_64))
| ~ relation(relation_restriction(skolemFOFtoCNF_B,X_64))
| ~ transitive(relation_restriction(skolemFOFtoCNF_B,X_64))
| well_ordering(relation_restriction(skolemFOFtoCNF_B,X_64)) ),
inference(resolve,[$cnf( connected(relation_restriction(skolemFOFtoCNF_B,X_64)) )],[refute_0_32,refute_0_23]) ).
cnf(refute_0_34,plain,
( ~ reflexive(B)
| ~ relation(B)
| reflexive(relation_restriction(B,A)) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_35,plain,
( ~ reflexive(skolemFOFtoCNF_B)
| ~ relation(skolemFOFtoCNF_B)
| reflexive(relation_restriction(skolemFOFtoCNF_B,X_41)) ),
inference(subst,[],[refute_0_34:[bind(A,$fot(X_41)),bind(B,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_36,plain,
( ~ reflexive(skolemFOFtoCNF_B)
| reflexive(relation_restriction(skolemFOFtoCNF_B,X_41)) ),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_B) )],[refute_0_5,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ relation(A)
| ~ well_ordering(A)
| reflexive(A) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_38,plain,
( ~ relation(skolemFOFtoCNF_B)
| ~ well_ordering(skolemFOFtoCNF_B)
| reflexive(skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_37:[bind(A,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_39,plain,
( ~ relation(skolemFOFtoCNF_B)
| reflexive(skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( well_ordering(skolemFOFtoCNF_B) )],[refute_0_1,refute_0_38]) ).
cnf(refute_0_40,plain,
reflexive(skolemFOFtoCNF_B),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_B) )],[refute_0_5,refute_0_39]) ).
cnf(refute_0_41,plain,
reflexive(relation_restriction(skolemFOFtoCNF_B,X_41)),
inference(resolve,[$cnf( reflexive(skolemFOFtoCNF_B) )],[refute_0_40,refute_0_36]) ).
cnf(refute_0_42,plain,
reflexive(relation_restriction(skolemFOFtoCNF_B,X_64)),
inference(subst,[],[refute_0_41:[bind(X_41,$fot(X_64))]]) ).
cnf(refute_0_43,plain,
( ~ relation(relation_restriction(skolemFOFtoCNF_B,X_64))
| ~ transitive(relation_restriction(skolemFOFtoCNF_B,X_64))
| well_ordering(relation_restriction(skolemFOFtoCNF_B,X_64)) ),
inference(resolve,[$cnf( reflexive(relation_restriction(skolemFOFtoCNF_B,X_64)) )],[refute_0_42,refute_0_33]) ).
cnf(refute_0_44,plain,
( ~ relation(A)
| relation(relation_restriction(A,B)) ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_45,plain,
( ~ relation(skolemFOFtoCNF_B)
| relation(relation_restriction(skolemFOFtoCNF_B,X_9)) ),
inference(subst,[],[refute_0_44:[bind(A,$fot(skolemFOFtoCNF_B)),bind(B,$fot(X_9))]]) ).
cnf(refute_0_46,plain,
relation(relation_restriction(skolemFOFtoCNF_B,X_9)),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_B) )],[refute_0_5,refute_0_45]) ).
cnf(refute_0_47,plain,
relation(relation_restriction(skolemFOFtoCNF_B,X_64)),
inference(subst,[],[refute_0_46:[bind(X_9,$fot(X_64))]]) ).
cnf(refute_0_48,plain,
( ~ transitive(relation_restriction(skolemFOFtoCNF_B,X_64))
| well_ordering(relation_restriction(skolemFOFtoCNF_B,X_64)) ),
inference(resolve,[$cnf( relation(relation_restriction(skolemFOFtoCNF_B,X_64)) )],[refute_0_47,refute_0_43]) ).
cnf(refute_0_49,plain,
( ~ relation(A)
| ~ well_ordering(A)
| transitive(A) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_50,plain,
( ~ relation(skolemFOFtoCNF_B)
| ~ well_ordering(skolemFOFtoCNF_B)
| transitive(skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_49:[bind(A,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_51,plain,
( ~ relation(skolemFOFtoCNF_B)
| transitive(skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( well_ordering(skolemFOFtoCNF_B) )],[refute_0_1,refute_0_50]) ).
cnf(refute_0_52,plain,
transitive(skolemFOFtoCNF_B),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_B) )],[refute_0_5,refute_0_51]) ).
cnf(refute_0_53,plain,
( ~ relation(B)
| ~ transitive(B)
| transitive(relation_restriction(B,A)) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_54,plain,
( ~ relation(skolemFOFtoCNF_B)
| ~ transitive(skolemFOFtoCNF_B)
| transitive(relation_restriction(skolemFOFtoCNF_B,X_47)) ),
inference(subst,[],[refute_0_53:[bind(A,$fot(X_47)),bind(B,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_55,plain,
( ~ relation(skolemFOFtoCNF_B)
| transitive(relation_restriction(skolemFOFtoCNF_B,X_47)) ),
inference(resolve,[$cnf( transitive(skolemFOFtoCNF_B) )],[refute_0_52,refute_0_54]) ).
cnf(refute_0_56,plain,
transitive(relation_restriction(skolemFOFtoCNF_B,X_47)),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_B) )],[refute_0_5,refute_0_55]) ).
cnf(refute_0_57,plain,
transitive(relation_restriction(skolemFOFtoCNF_B,X_64)),
inference(subst,[],[refute_0_56:[bind(X_47,$fot(X_64))]]) ).
cnf(refute_0_58,plain,
well_ordering(relation_restriction(skolemFOFtoCNF_B,X_64)),
inference(resolve,[$cnf( transitive(relation_restriction(skolemFOFtoCNF_B,X_64)) )],[refute_0_57,refute_0_48]) ).
cnf(refute_0_59,plain,
well_ordering(relation_restriction(skolemFOFtoCNF_B,skolemFOFtoCNF_A)),
inference(subst,[],[refute_0_58:[bind(X_64,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_60,plain,
$false,
inference(resolve,[$cnf( well_ordering(relation_restriction(skolemFOFtoCNF_B,skolemFOFtoCNF_A)) )],[refute_0_59,refute_0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SEU257+1 : TPTP v8.1.0. Released v3.3.0.
% 0.09/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 04:38:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38
% 0.12/0.38 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.39
%------------------------------------------------------------------------------