TSTP Solution File: REL002+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL002+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 : Mon Jul 18 19:42:57 EDT 2022
% Result : Theorem 0.61s 0.76s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 38
% Syntax : Number of formulae : 175 ( 108 unt; 0 def)
% Number of atoms : 270 ( 269 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 195 ( 100 ~; 95 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 254 ( 3 sgn 39 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0) ).
fof(maddux2_join_associativity,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) ).
fof(composition_identity,axiom,
! [X0] : composition(X0,one) = X0 ).
fof(converse_idempotence,axiom,
! [X0] : converse(converse(X0)) = X0 ).
fof(converse_multiplicativity,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ).
fof(converse_cancellativity,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) ).
fof(def_top,axiom,
! [X0] : top = join(X0,complement(X0)) ).
fof(goals,conjecture,
! [X0] : join(X0,top) = top ).
fof(subgoal_0,plain,
! [X0] : join(X0,top) = top,
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] : join(X0,top) = top,
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0] : join(X0,top) != top,
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
join(skolemFOFtoCNF_X0,top) != top,
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_0_3,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X0] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_0_5,plain,
! [X0] : top = join(X0,complement(X0)),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[maddux1_join_commutativity]) ).
fof(normalize_0_7,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[converse_cancellativity]) ).
fof(normalize_0_9,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[converse_multiplicativity]) ).
fof(normalize_0_11,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0] : converse(converse(X0)) = X0,
inference(canonicalize,[],[converse_idempotence]) ).
fof(normalize_0_13,plain,
! [X0] : converse(converse(X0)) = X0,
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0] : composition(X0,one) = X0,
inference(canonicalize,[],[composition_identity]) ).
fof(normalize_0_15,plain,
! [X0] : composition(X0,one) = X0,
inference(specialize,[],[normalize_0_14]) ).
cnf(refute_0_0,plain,
join(skolemFOFtoCNF_X0,top) != top,
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
join(X_6,join(complement(X_6),X_8)) = join(join(X_6,complement(X_6)),X_8),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_6)),bind(X1,$fot(complement(X_6))),bind(X2,$fot(X_8))]]) ).
cnf(refute_0_3,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
top = join(X_6,complement(X_6)),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_6))]]) ).
cnf(refute_0_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( top != join(X_6,complement(X_6))
| join(X_6,complement(X_6)) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(join(X_6,complement(X_6))))]]) ).
cnf(refute_0_9,plain,
join(X_6,complement(X_6)) = top,
inference(resolve,[$cnf( $equal(top,join(X_6,complement(X_6))) )],[refute_0_4,refute_0_8]) ).
cnf(refute_0_10,plain,
( join(X_6,complement(X_6)) != top
| join(X_6,join(complement(X_6),X_8)) != join(join(X_6,complement(X_6)),X_8)
| join(X_6,join(complement(X_6),X_8)) = join(top,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_6,join(complement(X_6),X_8)),join(join(X_6,complement(X_6)),X_8)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_11,plain,
( join(X_6,join(complement(X_6),X_8)) != join(join(X_6,complement(X_6)),X_8)
| join(X_6,join(complement(X_6),X_8)) = join(top,X_8) ),
inference(resolve,[$cnf( $equal(join(X_6,complement(X_6)),top) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
join(X_6,join(complement(X_6),X_8)) = join(top,X_8),
inference(resolve,[$cnf( $equal(join(X_6,join(complement(X_6),X_8)),join(join(X_6,complement(X_6)),X_8)) )],[refute_0_2,refute_0_11]) ).
cnf(refute_0_13,plain,
join(X_34,join(complement(X_34),complement(complement(X_34)))) = join(top,complement(complement(X_34))),
inference(subst,[],[refute_0_12:[bind(X_6,$fot(X_34)),bind(X_8,$fot(complement(complement(X_34))))]]) ).
cnf(refute_0_14,plain,
top = join(complement(X_34),complement(complement(X_34))),
inference(subst,[],[refute_0_3:[bind(X0,$fot(complement(X_34)))]]) ).
cnf(refute_0_15,plain,
( top != join(complement(X_34),complement(complement(X_34)))
| join(complement(X_34),complement(complement(X_34))) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_34),complement(complement(X_34)))))]]) ).
cnf(refute_0_16,plain,
join(complement(X_34),complement(complement(X_34))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_34),complement(complement(X_34)))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( join(X_34,join(complement(X_34),complement(complement(X_34)))) != join(top,complement(complement(X_34)))
| join(complement(X_34),complement(complement(X_34))) != top
| join(X_34,top) = join(top,complement(complement(X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_34,join(complement(X_34),complement(complement(X_34)))),join(top,complement(complement(X_34)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_18,plain,
( join(X_34,join(complement(X_34),complement(complement(X_34)))) != join(top,complement(complement(X_34)))
| join(X_34,top) = join(top,complement(complement(X_34))) ),
inference(resolve,[$cnf( $equal(join(complement(X_34),complement(complement(X_34))),top) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
join(X_34,top) = join(top,complement(complement(X_34))),
inference(resolve,[$cnf( $equal(join(X_34,join(complement(X_34),complement(complement(X_34)))),join(top,complement(complement(X_34)))) )],[refute_0_13,refute_0_18]) ).
cnf(refute_0_20,plain,
join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_21,plain,
join(join(X_33,complement(join(X1,X_33))),X1) = join(X1,join(X_33,complement(join(X1,X_33)))),
inference(subst,[],[refute_0_20:[bind(X0,$fot(join(X_33,complement(join(X1,X_33)))))]]) ).
cnf(refute_0_22,plain,
top = join(join(X_6,X_7),complement(join(X_6,X_7))),
inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_6,X_7)))]]) ).
cnf(refute_0_23,plain,
join(X_6,join(X_7,complement(join(X_6,X_7)))) = join(join(X_6,X_7),complement(join(X_6,X_7))),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_6)),bind(X1,$fot(X_7)),bind(X2,$fot(complement(join(X_6,X_7))))]]) ).
cnf(refute_0_24,plain,
( join(X_6,join(X_7,complement(join(X_6,X_7)))) != join(join(X_6,X_7),complement(join(X_6,X_7)))
| join(join(X_6,X_7),complement(join(X_6,X_7))) = join(X_6,join(X_7,complement(join(X_6,X_7)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X_6,join(X_7,complement(join(X_6,X_7)))))),bind(Y,$fot(join(join(X_6,X_7),complement(join(X_6,X_7)))))]]) ).
cnf(refute_0_25,plain,
join(join(X_6,X_7),complement(join(X_6,X_7))) = join(X_6,join(X_7,complement(join(X_6,X_7)))),
inference(resolve,[$cnf( $equal(join(X_6,join(X_7,complement(join(X_6,X_7)))),join(join(X_6,X_7),complement(join(X_6,X_7)))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( join(join(X_6,X_7),complement(join(X_6,X_7))) != join(X_6,join(X_7,complement(join(X_6,X_7))))
| top != join(join(X_6,X_7),complement(join(X_6,X_7)))
| top = join(X_6,join(X_7,complement(join(X_6,X_7)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_6,X_7),complement(join(X_6,X_7)))) ),[1],$fot(join(X_6,join(X_7,complement(join(X_6,X_7)))))]]) ).
cnf(refute_0_27,plain,
( top != join(join(X_6,X_7),complement(join(X_6,X_7)))
| top = join(X_6,join(X_7,complement(join(X_6,X_7)))) ),
inference(resolve,[$cnf( $equal(join(join(X_6,X_7),complement(join(X_6,X_7))),join(X_6,join(X_7,complement(join(X_6,X_7))))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
top = join(X_6,join(X_7,complement(join(X_6,X_7)))),
inference(resolve,[$cnf( $equal(top,join(join(X_6,X_7),complement(join(X_6,X_7)))) )],[refute_0_22,refute_0_27]) ).
cnf(refute_0_29,plain,
top = join(X1,join(X_33,complement(join(X1,X_33)))),
inference(subst,[],[refute_0_28:[bind(X_6,$fot(X1)),bind(X_7,$fot(X_33))]]) ).
cnf(refute_0_30,plain,
( top != join(X1,join(X_33,complement(join(X1,X_33))))
| join(X1,join(X_33,complement(join(X1,X_33)))) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(join(X1,join(X_33,complement(join(X1,X_33))))))]]) ).
cnf(refute_0_31,plain,
join(X1,join(X_33,complement(join(X1,X_33)))) = top,
inference(resolve,[$cnf( $equal(top,join(X1,join(X_33,complement(join(X1,X_33))))) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
( join(X1,join(X_33,complement(join(X1,X_33)))) != top
| join(join(X_33,complement(join(X1,X_33))),X1) != join(X1,join(X_33,complement(join(X1,X_33))))
| join(join(X_33,complement(join(X1,X_33))),X1) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_33,complement(join(X1,X_33))),X1),join(X1,join(X_33,complement(join(X1,X_33))))) ),[1],$fot(top)]]) ).
cnf(refute_0_33,plain,
( join(join(X_33,complement(join(X1,X_33))),X1) != join(X1,join(X_33,complement(join(X1,X_33))))
| join(join(X_33,complement(join(X1,X_33))),X1) = top ),
inference(resolve,[$cnf( $equal(join(X1,join(X_33,complement(join(X1,X_33)))),top) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
join(join(X_33,complement(join(X1,X_33))),X1) = top,
inference(resolve,[$cnf( $equal(join(join(X_33,complement(join(X1,X_33))),X1),join(X1,join(X_33,complement(join(X1,X_33))))) )],[refute_0_21,refute_0_33]) ).
cnf(refute_0_35,plain,
join(X_6,join(X_7,X_8)) = join(join(X_6,X_7),X_8),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_6)),bind(X1,$fot(X_7)),bind(X2,$fot(X_8))]]) ).
cnf(refute_0_36,plain,
join(X_8,X_7) = join(X_7,X_8),
inference(subst,[],[refute_0_20:[bind(X0,$fot(X_8)),bind(X1,$fot(X_7))]]) ).
cnf(refute_0_37,plain,
( join(X_8,X_7) != join(X_7,X_8)
| join(X_7,X_8) = join(X_8,X_7) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X_8,X_7))),bind(Y,$fot(join(X_7,X_8)))]]) ).
cnf(refute_0_38,plain,
join(X_7,X_8) = join(X_8,X_7),
inference(resolve,[$cnf( $equal(join(X_8,X_7),join(X_7,X_8)) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
( join(X_6,join(X_7,X_8)) != join(join(X_6,X_7),X_8)
| join(X_7,X_8) != join(X_8,X_7)
| join(X_6,join(X_8,X_7)) = join(join(X_6,X_7),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_6,join(X_7,X_8)),join(join(X_6,X_7),X_8)) ),[0,1],$fot(join(X_8,X_7))]]) ).
cnf(refute_0_40,plain,
( join(X_6,join(X_7,X_8)) != join(join(X_6,X_7),X_8)
| join(X_6,join(X_8,X_7)) = join(join(X_6,X_7),X_8) ),
inference(resolve,[$cnf( $equal(join(X_7,X_8),join(X_8,X_7)) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
join(X_6,join(X_8,X_7)) = join(join(X_6,X_7),X_8),
inference(resolve,[$cnf( $equal(join(X_6,join(X_7,X_8)),join(join(X_6,X_7),X_8)) )],[refute_0_35,refute_0_40]) ).
cnf(refute_0_42,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_0_43,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_0_1,refute_0_42]) ).
cnf(refute_0_44,plain,
join(join(X_6,X_7),X_8) = join(X_6,join(X_7,X_8)),
inference(subst,[],[refute_0_43:[bind(X0,$fot(X_6)),bind(X1,$fot(X_7)),bind(X2,$fot(X_8))]]) ).
cnf(refute_0_45,plain,
( join(X_6,join(X_8,X_7)) != join(join(X_6,X_7),X_8)
| join(join(X_6,X_7),X_8) != join(X_6,join(X_7,X_8))
| join(X_6,join(X_8,X_7)) = join(X_6,join(X_7,X_8)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_6,join(X_8,X_7)),join(X_6,join(X_7,X_8))) ),[0],$fot(join(join(X_6,X_7),X_8))]]) ).
cnf(refute_0_46,plain,
( join(X_6,join(X_8,X_7)) != join(join(X_6,X_7),X_8)
| join(X_6,join(X_8,X_7)) = join(X_6,join(X_7,X_8)) ),
inference(resolve,[$cnf( $equal(join(join(X_6,X_7),X_8),join(X_6,join(X_7,X_8))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
join(X_6,join(X_8,X_7)) = join(X_6,join(X_7,X_8)),
inference(resolve,[$cnf( $equal(join(X_6,join(X_8,X_7)),join(join(X_6,X_7),X_8)) )],[refute_0_41,refute_0_46]) ).
cnf(refute_0_48,plain,
( join(X_6,join(X_8,X_7)) != join(X_6,join(X_7,X_8))
| join(X_6,join(X_7,X_8)) = join(X_6,join(X_8,X_7)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X_6,join(X_8,X_7)))),bind(Y,$fot(join(X_6,join(X_7,X_8))))]]) ).
cnf(refute_0_49,plain,
join(X_6,join(X_7,X_8)) = join(X_6,join(X_8,X_7)),
inference(resolve,[$cnf( $equal(join(X_6,join(X_8,X_7)),join(X_6,join(X_7,X_8))) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
join(X_33,join(complement(join(X1,X_33)),X1)) = join(X_33,join(X1,complement(join(X1,X_33)))),
inference(subst,[],[refute_0_49:[bind(X_6,$fot(X_33)),bind(X_7,$fot(complement(join(X1,X_33)))),bind(X_8,$fot(X1))]]) ).
cnf(refute_0_51,plain,
join(join(X_33,complement(join(X1,X_33))),X1) = join(X_33,join(complement(join(X1,X_33)),X1)),
inference(subst,[],[refute_0_43:[bind(X0,$fot(X_33)),bind(X1,$fot(complement(join(X1,X_33)))),bind(X2,$fot(X1))]]) ).
cnf(refute_0_52,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_53,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_7,refute_0_52]) ).
cnf(refute_0_54,plain,
( join(X_33,join(complement(join(X1,X_33)),X1)) != join(X_33,join(X1,complement(join(X1,X_33))))
| join(join(X_33,complement(join(X1,X_33))),X1) != join(X_33,join(complement(join(X1,X_33)),X1))
| join(join(X_33,complement(join(X1,X_33))),X1) = join(X_33,join(X1,complement(join(X1,X_33)))) ),
inference(subst,[],[refute_0_53:[bind(X,$fot(join(join(X_33,complement(join(X1,X_33))),X1))),bind(Y,$fot(join(X_33,join(complement(join(X1,X_33)),X1)))),bind(Z,$fot(join(X_33,join(X1,complement(join(X1,X_33))))))]]) ).
cnf(refute_0_55,plain,
( join(X_33,join(complement(join(X1,X_33)),X1)) != join(X_33,join(X1,complement(join(X1,X_33))))
| join(join(X_33,complement(join(X1,X_33))),X1) = join(X_33,join(X1,complement(join(X1,X_33)))) ),
inference(resolve,[$cnf( $equal(join(join(X_33,complement(join(X1,X_33))),X1),join(X_33,join(complement(join(X1,X_33)),X1))) )],[refute_0_51,refute_0_54]) ).
cnf(refute_0_56,plain,
join(join(X_33,complement(join(X1,X_33))),X1) = join(X_33,join(X1,complement(join(X1,X_33)))),
inference(resolve,[$cnf( $equal(join(X_33,join(complement(join(X1,X_33)),X1)),join(X_33,join(X1,complement(join(X1,X_33))))) )],[refute_0_50,refute_0_55]) ).
cnf(refute_0_57,plain,
( join(join(X_33,complement(join(X1,X_33))),X1) != join(X_33,join(X1,complement(join(X1,X_33))))
| join(join(X_33,complement(join(X1,X_33))),X1) != top
| join(X_33,join(X1,complement(join(X1,X_33)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_33,complement(join(X1,X_33))),X1),top) ),[0],$fot(join(X_33,join(X1,complement(join(X1,X_33)))))]]) ).
cnf(refute_0_58,plain,
( join(join(X_33,complement(join(X1,X_33))),X1) != top
| join(X_33,join(X1,complement(join(X1,X_33)))) = top ),
inference(resolve,[$cnf( $equal(join(join(X_33,complement(join(X1,X_33))),X1),join(X_33,join(X1,complement(join(X1,X_33))))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
join(X_33,join(X1,complement(join(X1,X_33)))) = top,
inference(resolve,[$cnf( $equal(join(join(X_33,complement(join(X1,X_33))),X1),top) )],[refute_0_34,refute_0_58]) ).
cnf(refute_0_60,plain,
join(complement(X_56),join(complement(X_56),complement(join(complement(X_56),complement(X_56))))) = top,
inference(subst,[],[refute_0_59:[bind(X1,$fot(complement(X_56))),bind(X_33,$fot(complement(X_56)))]]) ).
cnf(refute_0_61,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_62,plain,
( join(X0,X1) != join(X1,X0)
| join(X1,X0) = join(X0,X1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X1,X0)))]]) ).
cnf(refute_0_63,plain,
join(X1,X0) = join(X0,X1),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X1,X0)) )],[refute_0_20,refute_0_62]) ).
cnf(refute_0_64,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(subst,[],[refute_0_63:[bind(X0,$fot(complement(X1))),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_0_65,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) ),[0],$fot(join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_0_66,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_0_61,refute_0_66]) ).
cnf(refute_0_68,plain,
join(complement(X_55),composition(converse(one),complement(composition(one,X_55)))) = complement(X_55),
inference(subst,[],[refute_0_67:[bind(X0,$fot(one)),bind(X1,$fot(X_55))]]) ).
cnf(refute_0_69,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_70,plain,
converse(composition(converse(X0),X_18)) = composition(converse(X_18),converse(converse(X0))),
inference(subst,[],[refute_0_69:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_18))]]) ).
cnf(refute_0_71,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_72,plain,
( converse(composition(converse(X0),X_18)) != composition(converse(X_18),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_18)) = composition(converse(X_18),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_18)),composition(converse(X_18),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_73,plain,
( converse(composition(converse(X0),X_18)) != composition(converse(X_18),converse(converse(X0)))
| converse(composition(converse(X0),X_18)) = composition(converse(X_18),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
converse(composition(converse(X0),X_18)) = composition(converse(X_18),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_18)),composition(converse(X_18),converse(converse(X0)))) )],[refute_0_70,refute_0_73]) ).
cnf(refute_0_75,plain,
converse(composition(converse(X_19),one)) = composition(converse(one),X_19),
inference(subst,[],[refute_0_74:[bind(X0,$fot(X_19)),bind(X_18,$fot(one))]]) ).
cnf(refute_0_76,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_77,plain,
composition(converse(X_19),one) = converse(X_19),
inference(subst,[],[refute_0_76:[bind(X0,$fot(converse(X_19)))]]) ).
cnf(refute_0_78,plain,
( composition(converse(X_19),one) != converse(X_19)
| converse(composition(converse(X_19),one)) != composition(converse(one),X_19)
| converse(converse(X_19)) = composition(converse(one),X_19) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_19),one)),composition(converse(one),X_19)) ),[0,0],$fot(converse(X_19))]]) ).
cnf(refute_0_79,plain,
( converse(composition(converse(X_19),one)) != composition(converse(one),X_19)
| converse(converse(X_19)) = composition(converse(one),X_19) ),
inference(resolve,[$cnf( $equal(composition(converse(X_19),one),converse(X_19)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
converse(converse(X_19)) = composition(converse(one),X_19),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_19),one)),composition(converse(one),X_19)) )],[refute_0_75,refute_0_79]) ).
cnf(refute_0_81,plain,
converse(converse(X_19)) = X_19,
inference(subst,[],[refute_0_71:[bind(X0,$fot(X_19))]]) ).
cnf(refute_0_82,plain,
( converse(converse(X_19)) != X_19
| converse(converse(X_19)) != composition(converse(one),X_19)
| X_19 = composition(converse(one),X_19) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_19)),composition(converse(one),X_19)) ),[0],$fot(X_19)]]) ).
cnf(refute_0_83,plain,
( converse(converse(X_19)) != composition(converse(one),X_19)
| X_19 = composition(converse(one),X_19) ),
inference(resolve,[$cnf( $equal(converse(converse(X_19)),X_19) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
X_19 = composition(converse(one),X_19),
inference(resolve,[$cnf( $equal(converse(converse(X_19)),composition(converse(one),X_19)) )],[refute_0_80,refute_0_83]) ).
cnf(refute_0_85,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_0_76:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_86,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_84:[bind(X_19,$fot(one))]]) ).
cnf(refute_0_87,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_88,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_90,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_85,refute_0_90]) ).
cnf(refute_0_92,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_93,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
composition(converse(one),X_19) = composition(converse(one),X_19),
introduced(tautology,[refl,[$fot(composition(converse(one),X_19))]]) ).
cnf(refute_0_95,plain,
( composition(converse(one),X_19) != composition(converse(one),X_19)
| converse(one) != one
| composition(converse(one),X_19) = composition(one,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_19),composition(converse(one),X_19)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_96,plain,
( converse(one) != one
| composition(converse(one),X_19) = composition(one,X_19) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_19),composition(converse(one),X_19)) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
composition(converse(one),X_19) = composition(one,X_19),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
( X_19 != composition(converse(one),X_19)
| composition(converse(one),X_19) != composition(one,X_19)
| X_19 = composition(one,X_19) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_19,composition(one,X_19)) ),[0],$fot(composition(converse(one),X_19))]]) ).
cnf(refute_0_99,plain,
( X_19 != composition(converse(one),X_19)
| X_19 = composition(one,X_19) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_19),composition(one,X_19)) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
X_19 = composition(one,X_19),
inference(resolve,[$cnf( $equal(X_19,composition(converse(one),X_19)) )],[refute_0_84,refute_0_99]) ).
cnf(refute_0_101,plain,
X_55 = composition(one,X_55),
inference(subst,[],[refute_0_100:[bind(X_19,$fot(X_55))]]) ).
cnf(refute_0_102,plain,
( X_55 != composition(one,X_55)
| composition(one,X_55) = X_55 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_55)),bind(Y,$fot(composition(one,X_55)))]]) ).
cnf(refute_0_103,plain,
composition(one,X_55) = X_55,
inference(resolve,[$cnf( $equal(X_55,composition(one,X_55)) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
( composition(one,X_55) != X_55
| join(complement(X_55),composition(converse(one),complement(composition(one,X_55)))) != complement(X_55)
| join(complement(X_55),composition(converse(one),complement(X_55))) = complement(X_55) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_55),composition(converse(one),complement(composition(one,X_55)))),complement(X_55)) ),[0,1,1,0],$fot(X_55)]]) ).
cnf(refute_0_105,plain,
( join(complement(X_55),composition(converse(one),complement(composition(one,X_55)))) != complement(X_55)
| join(complement(X_55),composition(converse(one),complement(X_55))) = complement(X_55) ),
inference(resolve,[$cnf( $equal(composition(one,X_55),X_55) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
join(complement(X_55),composition(converse(one),complement(X_55))) = complement(X_55),
inference(resolve,[$cnf( $equal(join(complement(X_55),composition(converse(one),complement(composition(one,X_55)))),complement(X_55)) )],[refute_0_68,refute_0_105]) ).
cnf(refute_0_107,plain,
( X_19 != composition(one,X_19)
| composition(one,X_19) = X_19 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_19)),bind(Y,$fot(composition(one,X_19)))]]) ).
cnf(refute_0_108,plain,
composition(one,X_19) = X_19,
inference(resolve,[$cnf( $equal(X_19,composition(one,X_19)) )],[refute_0_100,refute_0_107]) ).
cnf(refute_0_109,plain,
composition(one,complement(X_55)) = complement(X_55),
inference(subst,[],[refute_0_108:[bind(X_19,$fot(complement(X_55)))]]) ).
cnf(refute_0_110,plain,
composition(converse(one),complement(X_55)) = composition(converse(one),complement(X_55)),
introduced(tautology,[refl,[$fot(composition(converse(one),complement(X_55)))]]) ).
cnf(refute_0_111,plain,
( composition(converse(one),complement(X_55)) != composition(converse(one),complement(X_55))
| converse(one) != one
| composition(converse(one),complement(X_55)) = composition(one,complement(X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),complement(X_55)),composition(converse(one),complement(X_55))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_112,plain,
( converse(one) != one
| composition(converse(one),complement(X_55)) = composition(one,complement(X_55)) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_55)),composition(converse(one),complement(X_55))) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
composition(converse(one),complement(X_55)) = composition(one,complement(X_55)),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_93,refute_0_112]) ).
cnf(refute_0_114,plain,
( composition(converse(one),complement(X_55)) != composition(one,complement(X_55))
| composition(one,complement(X_55)) != complement(X_55)
| composition(converse(one),complement(X_55)) = complement(X_55) ),
inference(subst,[],[refute_0_53:[bind(X,$fot(composition(converse(one),complement(X_55)))),bind(Y,$fot(composition(one,complement(X_55)))),bind(Z,$fot(complement(X_55)))]]) ).
cnf(refute_0_115,plain,
( composition(one,complement(X_55)) != complement(X_55)
| composition(converse(one),complement(X_55)) = complement(X_55) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_55)),composition(one,complement(X_55))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
composition(converse(one),complement(X_55)) = complement(X_55),
inference(resolve,[$cnf( $equal(composition(one,complement(X_55)),complement(X_55)) )],[refute_0_109,refute_0_115]) ).
cnf(refute_0_117,plain,
join(complement(X_55),composition(converse(one),complement(X_55))) = join(complement(X_55),composition(converse(one),complement(X_55))),
introduced(tautology,[refl,[$fot(join(complement(X_55),composition(converse(one),complement(X_55))))]]) ).
cnf(refute_0_118,plain,
( composition(converse(one),complement(X_55)) != complement(X_55)
| join(complement(X_55),composition(converse(one),complement(X_55))) != join(complement(X_55),composition(converse(one),complement(X_55)))
| join(complement(X_55),composition(converse(one),complement(X_55))) = join(complement(X_55),complement(X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_55),composition(converse(one),complement(X_55))),join(complement(X_55),composition(converse(one),complement(X_55)))) ),[1,1],$fot(complement(X_55))]]) ).
cnf(refute_0_119,plain,
( composition(converse(one),complement(X_55)) != complement(X_55)
| join(complement(X_55),composition(converse(one),complement(X_55))) = join(complement(X_55),complement(X_55)) ),
inference(resolve,[$cnf( $equal(join(complement(X_55),composition(converse(one),complement(X_55))),join(complement(X_55),composition(converse(one),complement(X_55)))) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
join(complement(X_55),composition(converse(one),complement(X_55))) = join(complement(X_55),complement(X_55)),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_55)),complement(X_55)) )],[refute_0_116,refute_0_119]) ).
cnf(refute_0_121,plain,
( join(complement(X_55),composition(converse(one),complement(X_55))) != complement(X_55)
| join(complement(X_55),composition(converse(one),complement(X_55))) != join(complement(X_55),complement(X_55))
| join(complement(X_55),complement(X_55)) = complement(X_55) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_55),composition(converse(one),complement(X_55))),complement(X_55)) ),[0],$fot(join(complement(X_55),complement(X_55)))]]) ).
cnf(refute_0_122,plain,
( join(complement(X_55),composition(converse(one),complement(X_55))) != complement(X_55)
| join(complement(X_55),complement(X_55)) = complement(X_55) ),
inference(resolve,[$cnf( $equal(join(complement(X_55),composition(converse(one),complement(X_55))),join(complement(X_55),complement(X_55))) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
join(complement(X_55),complement(X_55)) = complement(X_55),
inference(resolve,[$cnf( $equal(join(complement(X_55),composition(converse(one),complement(X_55))),complement(X_55)) )],[refute_0_106,refute_0_122]) ).
cnf(refute_0_124,plain,
join(complement(X_56),complement(X_56)) = complement(X_56),
inference(subst,[],[refute_0_123:[bind(X_55,$fot(X_56))]]) ).
cnf(refute_0_125,plain,
( join(complement(X_56),complement(X_56)) != complement(X_56)
| join(complement(X_56),join(complement(X_56),complement(join(complement(X_56),complement(X_56))))) != top
| join(complement(X_56),join(complement(X_56),complement(complement(X_56)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_56),join(complement(X_56),complement(join(complement(X_56),complement(X_56))))),top) ),[0,1,1,0],$fot(complement(X_56))]]) ).
cnf(refute_0_126,plain,
( join(complement(X_56),join(complement(X_56),complement(join(complement(X_56),complement(X_56))))) != top
| join(complement(X_56),join(complement(X_56),complement(complement(X_56)))) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_56),complement(X_56)),complement(X_56)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
join(complement(X_56),join(complement(X_56),complement(complement(X_56)))) = top,
inference(resolve,[$cnf( $equal(join(complement(X_56),join(complement(X_56),complement(join(complement(X_56),complement(X_56))))),top) )],[refute_0_60,refute_0_126]) ).
cnf(refute_0_128,plain,
join(X_34,join(complement(X_34),X_35)) = join(top,X_35),
inference(subst,[],[refute_0_12:[bind(X_6,$fot(X_34)),bind(X_8,$fot(X_35))]]) ).
cnf(refute_0_129,plain,
join(X_35,complement(X_34)) = join(complement(X_34),X_35),
inference(subst,[],[refute_0_20:[bind(X0,$fot(X_35)),bind(X1,$fot(complement(X_34)))]]) ).
cnf(refute_0_130,plain,
( join(X_35,complement(X_34)) != join(complement(X_34),X_35)
| join(complement(X_34),X_35) = join(X_35,complement(X_34)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X_35,complement(X_34)))),bind(Y,$fot(join(complement(X_34),X_35)))]]) ).
cnf(refute_0_131,plain,
join(complement(X_34),X_35) = join(X_35,complement(X_34)),
inference(resolve,[$cnf( $equal(join(X_35,complement(X_34)),join(complement(X_34),X_35)) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
( join(X_34,join(complement(X_34),X_35)) != join(top,X_35)
| join(complement(X_34),X_35) != join(X_35,complement(X_34))
| join(X_34,join(X_35,complement(X_34))) = join(top,X_35) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_34,join(complement(X_34),X_35)),join(top,X_35)) ),[0,1],$fot(join(X_35,complement(X_34)))]]) ).
cnf(refute_0_133,plain,
( join(X_34,join(complement(X_34),X_35)) != join(top,X_35)
| join(X_34,join(X_35,complement(X_34))) = join(top,X_35) ),
inference(resolve,[$cnf( $equal(join(complement(X_34),X_35),join(X_35,complement(X_34))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
join(X_34,join(X_35,complement(X_34))) = join(top,X_35),
inference(resolve,[$cnf( $equal(join(X_34,join(complement(X_34),X_35)),join(top,X_35)) )],[refute_0_128,refute_0_133]) ).
cnf(refute_0_135,plain,
join(complement(X_56),join(complement(X_56),complement(complement(X_56)))) = join(top,complement(X_56)),
inference(subst,[],[refute_0_134:[bind(X_34,$fot(complement(X_56))),bind(X_35,$fot(complement(X_56)))]]) ).
cnf(refute_0_136,plain,
( join(complement(X_56),join(complement(X_56),complement(complement(X_56)))) != join(top,complement(X_56))
| join(complement(X_56),join(complement(X_56),complement(complement(X_56)))) != top
| join(top,complement(X_56)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_56),join(complement(X_56),complement(complement(X_56)))),top) ),[0],$fot(join(top,complement(X_56)))]]) ).
cnf(refute_0_137,plain,
( join(complement(X_56),join(complement(X_56),complement(complement(X_56)))) != top
| join(top,complement(X_56)) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_56),join(complement(X_56),complement(complement(X_56)))),join(top,complement(X_56))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
join(top,complement(X_56)) = top,
inference(resolve,[$cnf( $equal(join(complement(X_56),join(complement(X_56),complement(complement(X_56)))),top) )],[refute_0_127,refute_0_137]) ).
cnf(refute_0_139,plain,
join(top,complement(complement(X_34))) = top,
inference(subst,[],[refute_0_138:[bind(X_56,$fot(complement(X_34)))]]) ).
cnf(refute_0_140,plain,
( join(X_34,top) != join(top,complement(complement(X_34)))
| join(top,complement(complement(X_34))) != top
| join(X_34,top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_34,top),top) ),[0],$fot(join(top,complement(complement(X_34))))]]) ).
cnf(refute_0_141,plain,
( join(X_34,top) != join(top,complement(complement(X_34)))
| join(X_34,top) = top ),
inference(resolve,[$cnf( $equal(join(top,complement(complement(X_34))),top) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
join(X_34,top) = top,
inference(resolve,[$cnf( $equal(join(X_34,top),join(top,complement(complement(X_34)))) )],[refute_0_19,refute_0_141]) ).
cnf(refute_0_143,plain,
join(skolemFOFtoCNF_X0,top) = top,
inference(subst,[],[refute_0_142:[bind(X_34,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_144,plain,
( join(skolemFOFtoCNF_X0,top) != top
| top != top
| join(skolemFOFtoCNF_X0,top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(skolemFOFtoCNF_X0,top),top) ),[0],$fot(top)]]) ).
cnf(refute_0_145,plain,
( top != top
| join(skolemFOFtoCNF_X0,top) = top ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,top),top) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
top != top,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,top),top) )],[refute_0_145,refute_0_0]) ).
cnf(refute_0_147,plain,
top = top,
introduced(tautology,[refl,[$fot(top)]]) ).
cnf(refute_0_148,plain,
$false,
inference(resolve,[$cnf( $equal(top,top) )],[refute_0_147,refute_0_146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL002+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 08:38:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.61/0.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.76
% 0.61/0.76 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.61/0.78
%------------------------------------------------------------------------------