TSTP Solution File: LCL248-3 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL248-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n006.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 : Sun Jul 17 12:51:07 EDT 2022
% Result : Unsatisfiable 9.36s 9.55s
% Output : CNFRefutation 9.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 30
% Syntax : Number of clauses : 155 ( 82 unt; 0 nHn; 71 RR)
% Number of literals : 252 ( 85 equ; 98 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 345 ( 35 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1_2,axiom,
axiom(implies(or(A,A),A)) ).
cnf(axiom_1_3,axiom,
axiom(implies(A,or(B,A))) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(A,B),or(B,A))) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) ).
cnf(implies_definition,axiom,
implies(X,Y) = or(not(X),Y) ).
cnf(rule_1,axiom,
( theorem(X)
| ~ axiom(X) ) ).
cnf(rule_2,axiom,
( theorem(X)
| ~ theorem(implies(Y,X))
| ~ theorem(Y) ) ).
cnf(and_defn,axiom,
and(P,Q) = not(or(not(P),not(Q))) ).
cnf(prove_this,negated_conjecture,
~ theorem(implies(and(p,q),implies(p,q))) ).
cnf(refute_0_0,plain,
( ~ axiom(implies(or(X_7,X_8),or(X_8,X_7)))
| theorem(implies(or(X_7,X_8),or(X_8,X_7))) ),
inference(subst,[],[rule_1:[bind(X,$fot(implies(or(X_7,X_8),or(X_8,X_7))))]]) ).
cnf(refute_0_1,plain,
axiom(implies(or(X_7,X_8),or(X_8,X_7))),
inference(subst,[],[axiom_1_4:[bind(A,$fot(X_7)),bind(B,$fot(X_8))]]) ).
cnf(refute_0_2,plain,
theorem(implies(or(X_7,X_8),or(X_8,X_7))),
inference(resolve,[$cnf( axiom(implies(or(X_7,X_8),or(X_8,X_7))) )],[refute_0_1,refute_0_0]) ).
cnf(refute_0_3,plain,
( ~ theorem(implies(or(X_7,X_8),or(X_8,X_7)))
| ~ theorem(or(X_7,X_8))
| theorem(or(X_8,X_7)) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(X_8,X_7))),bind(Y,$fot(or(X_7,X_8)))]]) ).
cnf(refute_0_4,plain,
( ~ theorem(or(X_7,X_8))
| theorem(or(X_8,X_7)) ),
inference(resolve,[$cnf( theorem(implies(or(X_7,X_8),or(X_8,X_7))) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ theorem(or(implies(X_14001,X_14003),not(and(X_14002,X_14003))))
| theorem(or(not(and(X_14002,X_14003)),implies(X_14001,X_14003))) ),
inference(subst,[],[refute_0_4:[bind(X_7,$fot(implies(X_14001,X_14003))),bind(X_8,$fot(not(and(X_14002,X_14003))))]]) ).
cnf(refute_0_6,plain,
( ~ axiom(implies(X_3,or(X_4,X_3)))
| theorem(implies(X_3,or(X_4,X_3))) ),
inference(subst,[],[rule_1:[bind(X,$fot(implies(X_3,or(X_4,X_3))))]]) ).
cnf(refute_0_7,plain,
axiom(implies(X_3,or(X_4,X_3))),
inference(subst,[],[axiom_1_3:[bind(A,$fot(X_3)),bind(B,$fot(X_4))]]) ).
cnf(refute_0_8,plain,
theorem(implies(X_3,or(X_4,X_3))),
inference(resolve,[$cnf( axiom(implies(X_3,or(X_4,X_3))) )],[refute_0_7,refute_0_6]) ).
cnf(refute_0_9,plain,
theorem(implies(X_75,or(X_4,X_75))),
inference(subst,[],[refute_0_8:[bind(X_3,$fot(X_75))]]) ).
cnf(refute_0_10,plain,
( ~ theorem(X_75)
| ~ theorem(implies(X_75,or(X_4,X_75)))
| theorem(or(X_4,X_75)) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(X_4,X_75))),bind(Y,$fot(X_75))]]) ).
cnf(refute_0_11,plain,
( ~ theorem(X_75)
| theorem(or(X_4,X_75)) ),
inference(resolve,[$cnf( theorem(implies(X_75,or(X_4,X_75))) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ theorem(or(or(X_134,X_133),not(X_133)))
| theorem(or(X_4,or(or(X_134,X_133),not(X_133)))) ),
inference(subst,[],[refute_0_11:[bind(X_75,$fot(or(or(X_134,X_133),not(X_133))))]]) ).
cnf(refute_0_13,plain,
theorem(implies(X_121,or(X_4,X_121))),
inference(subst,[],[refute_0_8:[bind(X_3,$fot(X_121))]]) ).
cnf(refute_0_14,plain,
theorem(implies(or(not(X_11),X_8),or(X_8,not(X_11)))),
inference(subst,[],[refute_0_2:[bind(X_7,$fot(not(X_11)))]]) ).
cnf(refute_0_15,plain,
implies(X_11,X_8) = or(not(X_11),X_8),
inference(subst,[],[implies_definition:[bind(X,$fot(X_11)),bind(Y,$fot(X_8))]]) ).
cnf(refute_0_16,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_17,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_18,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
( implies(X_11,X_8) != or(not(X_11),X_8)
| or(not(X_11),X_8) = implies(X_11,X_8) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(implies(X_11,X_8))),bind(Y0,$fot(or(not(X_11),X_8)))]]) ).
cnf(refute_0_20,plain,
or(not(X_11),X_8) = implies(X_11,X_8),
inference(resolve,[$cnf( $equal(implies(X_11,X_8),or(not(X_11),X_8)) )],[refute_0_15,refute_0_19]) ).
cnf(refute_0_21,plain,
( or(not(X_11),X_8) != implies(X_11,X_8)
| ~ theorem(implies(or(not(X_11),X_8),or(X_8,not(X_11))))
| theorem(implies(implies(X_11,X_8),or(X_8,not(X_11)))) ),
introduced(tautology,[equality,[$cnf( theorem(implies(or(not(X_11),X_8),or(X_8,not(X_11)))) ),[0,0],$fot(implies(X_11,X_8))]]) ).
cnf(refute_0_22,plain,
( ~ theorem(implies(or(not(X_11),X_8),or(X_8,not(X_11))))
| theorem(implies(implies(X_11,X_8),or(X_8,not(X_11)))) ),
inference(resolve,[$cnf( $equal(or(not(X_11),X_8),implies(X_11,X_8)) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
theorem(implies(implies(X_11,X_8),or(X_8,not(X_11)))),
inference(resolve,[$cnf( theorem(implies(or(not(X_11),X_8),or(X_8,not(X_11)))) )],[refute_0_14,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ theorem(implies(X_11,X_8))
| ~ theorem(implies(implies(X_11,X_8),or(X_8,not(X_11))))
| theorem(or(X_8,not(X_11))) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(X_8,not(X_11)))),bind(Y,$fot(implies(X_11,X_8)))]]) ).
cnf(refute_0_25,plain,
( ~ theorem(implies(X_11,X_8))
| theorem(or(X_8,not(X_11))) ),
inference(resolve,[$cnf( theorem(implies(implies(X_11,X_8),or(X_8,not(X_11)))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ theorem(implies(X_121,or(X_4,X_121)))
| theorem(or(or(X_4,X_121),not(X_121))) ),
inference(subst,[],[refute_0_25:[bind(X_11,$fot(X_121)),bind(X_8,$fot(or(X_4,X_121)))]]) ).
cnf(refute_0_27,plain,
theorem(or(or(X_4,X_121),not(X_121))),
inference(resolve,[$cnf( theorem(implies(X_121,or(X_4,X_121))) )],[refute_0_13,refute_0_26]) ).
cnf(refute_0_28,plain,
theorem(or(or(X_134,X_133),not(X_133))),
inference(subst,[],[refute_0_27:[bind(X_121,$fot(X_133)),bind(X_4,$fot(X_134))]]) ).
cnf(refute_0_29,plain,
theorem(or(X_4,or(or(X_134,X_133),not(X_133)))),
inference(resolve,[$cnf( theorem(or(or(X_134,X_133),not(X_133))) )],[refute_0_28,refute_0_12]) ).
cnf(refute_0_30,plain,
theorem(or(not(X),or(or(X_272,X_271),not(X_271)))),
inference(subst,[],[refute_0_29:[bind(X_133,$fot(X_271)),bind(X_134,$fot(X_272)),bind(X_4,$fot(not(X)))]]) ).
cnf(refute_0_31,plain,
implies(X,or(or(X_272,X_271),not(X_271))) = or(not(X),or(or(X_272,X_271),not(X_271))),
inference(subst,[],[implies_definition:[bind(Y,$fot(or(or(X_272,X_271),not(X_271))))]]) ).
cnf(refute_0_32,plain,
( implies(X,or(or(X_272,X_271),not(X_271))) != or(not(X),or(or(X_272,X_271),not(X_271)))
| or(not(X),or(or(X_272,X_271),not(X_271))) = implies(X,or(or(X_272,X_271),not(X_271))) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(implies(X,or(or(X_272,X_271),not(X_271))))),bind(Y0,$fot(or(not(X),or(or(X_272,X_271),not(X_271)))))]]) ).
cnf(refute_0_33,plain,
or(not(X),or(or(X_272,X_271),not(X_271))) = implies(X,or(or(X_272,X_271),not(X_271))),
inference(resolve,[$cnf( $equal(implies(X,or(or(X_272,X_271),not(X_271))),or(not(X),or(or(X_272,X_271),not(X_271)))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
( or(not(X),or(or(X_272,X_271),not(X_271))) != implies(X,or(or(X_272,X_271),not(X_271)))
| ~ theorem(or(not(X),or(or(X_272,X_271),not(X_271))))
| theorem(implies(X,or(or(X_272,X_271),not(X_271)))) ),
introduced(tautology,[equality,[$cnf( theorem(or(not(X),or(or(X_272,X_271),not(X_271)))) ),[0],$fot(implies(X,or(or(X_272,X_271),not(X_271))))]]) ).
cnf(refute_0_35,plain,
( ~ theorem(or(not(X),or(or(X_272,X_271),not(X_271))))
| theorem(implies(X,or(or(X_272,X_271),not(X_271)))) ),
inference(resolve,[$cnf( $equal(or(not(X),or(or(X_272,X_271),not(X_271))),implies(X,or(or(X_272,X_271),not(X_271)))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
theorem(implies(X,or(or(X_272,X_271),not(X_271)))),
inference(resolve,[$cnf( theorem(or(not(X),or(or(X_272,X_271),not(X_271)))) )],[refute_0_30,refute_0_35]) ).
cnf(refute_0_37,plain,
theorem(implies(X_1540,or(or(X_272,X_271),not(X_271)))),
inference(subst,[],[refute_0_36:[bind(X,$fot(X_1540))]]) ).
cnf(refute_0_38,plain,
( ~ axiom(implies(implies(X_34,or(X_35,X_36)),or(X_35,implies(X_34,X_36))))
| theorem(implies(implies(X_34,or(X_35,X_36)),or(X_35,implies(X_34,X_36)))) ),
inference(subst,[],[rule_1:[bind(X,$fot(implies(implies(X_34,or(X_35,X_36)),or(X_35,implies(X_34,X_36)))))]]) ).
cnf(refute_0_39,plain,
axiom(implies(or(not(X),or(X_32,X_33)),or(X_32,or(not(X),X_33)))),
inference(subst,[],[axiom_1_5:[bind(A,$fot(not(X))),bind(B,$fot(X_32)),bind(C,$fot(X_33))]]) ).
cnf(refute_0_40,plain,
implies(X,X_33) = or(not(X),X_33),
inference(subst,[],[implies_definition:[bind(Y,$fot(X_33))]]) ).
cnf(refute_0_41,plain,
( implies(X,X_33) != or(not(X),X_33)
| or(not(X),X_33) = implies(X,X_33) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(implies(X,X_33))),bind(Y0,$fot(or(not(X),X_33)))]]) ).
cnf(refute_0_42,plain,
or(not(X),X_33) = implies(X,X_33),
inference(resolve,[$cnf( $equal(implies(X,X_33),or(not(X),X_33)) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( or(not(X),X_33) != implies(X,X_33)
| ~ axiom(implies(or(not(X),or(X_32,X_33)),or(X_32,or(not(X),X_33))))
| axiom(implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33)))) ),
introduced(tautology,[equality,[$cnf( axiom(implies(or(not(X),or(X_32,X_33)),or(X_32,or(not(X),X_33)))) ),[0,1,1],$fot(implies(X,X_33))]]) ).
cnf(refute_0_44,plain,
( ~ axiom(implies(or(not(X),or(X_32,X_33)),or(X_32,or(not(X),X_33))))
| axiom(implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33)))) ),
inference(resolve,[$cnf( $equal(or(not(X),X_33),implies(X,X_33)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
axiom(implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33)))),
inference(resolve,[$cnf( axiom(implies(or(not(X),or(X_32,X_33)),or(X_32,or(not(X),X_33)))) )],[refute_0_39,refute_0_44]) ).
cnf(refute_0_46,plain,
( implies(X,Y) != or(not(X),Y)
| or(not(X),Y) = implies(X,Y) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(implies(X,Y))),bind(Y0,$fot(or(not(X),Y)))]]) ).
cnf(refute_0_47,plain,
or(not(X),Y) = implies(X,Y),
inference(resolve,[$cnf( $equal(implies(X,Y),or(not(X),Y)) )],[implies_definition,refute_0_46]) ).
cnf(refute_0_48,plain,
or(not(X),or(X_32,X_33)) = implies(X,or(X_32,X_33)),
inference(subst,[],[refute_0_47:[bind(Y,$fot(or(X_32,X_33)))]]) ).
cnf(refute_0_49,plain,
implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33))) = implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33))),
introduced(tautology,[refl,[$fot(implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33))))]]) ).
cnf(refute_0_50,plain,
( implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33))) != implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33)))
| or(not(X),or(X_32,X_33)) != implies(X,or(X_32,X_33))
| implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33))) = implies(implies(X,or(X_32,X_33)),or(X_32,implies(X,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33))),implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33)))) ),[1,0],$fot(implies(X,or(X_32,X_33)))]]) ).
cnf(refute_0_51,plain,
( or(not(X),or(X_32,X_33)) != implies(X,or(X_32,X_33))
| implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33))) = implies(implies(X,or(X_32,X_33)),or(X_32,implies(X,X_33))) ),
inference(resolve,[$cnf( $equal(implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33))),implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33)))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33))) = implies(implies(X,or(X_32,X_33)),or(X_32,implies(X,X_33))),
inference(resolve,[$cnf( $equal(or(not(X),or(X_32,X_33)),implies(X,or(X_32,X_33))) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
( implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33))) != implies(implies(X,or(X_32,X_33)),or(X_32,implies(X,X_33)))
| ~ axiom(implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33))))
| axiom(implies(implies(X,or(X_32,X_33)),or(X_32,implies(X,X_33)))) ),
introduced(tautology,[equality,[$cnf( axiom(implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33)))) ),[0],$fot(implies(implies(X,or(X_32,X_33)),or(X_32,implies(X,X_33))))]]) ).
cnf(refute_0_54,plain,
( ~ axiom(implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33))))
| axiom(implies(implies(X,or(X_32,X_33)),or(X_32,implies(X,X_33)))) ),
inference(resolve,[$cnf( $equal(implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33))),implies(implies(X,or(X_32,X_33)),or(X_32,implies(X,X_33)))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
axiom(implies(implies(X,or(X_32,X_33)),or(X_32,implies(X,X_33)))),
inference(resolve,[$cnf( axiom(implies(or(not(X),or(X_32,X_33)),or(X_32,implies(X,X_33)))) )],[refute_0_45,refute_0_54]) ).
cnf(refute_0_56,plain,
axiom(implies(implies(X_34,or(X_35,X_36)),or(X_35,implies(X_34,X_36)))),
inference(subst,[],[refute_0_55:[bind(X,$fot(X_34)),bind(X_32,$fot(X_35)),bind(X_33,$fot(X_36))]]) ).
cnf(refute_0_57,plain,
theorem(implies(implies(X_34,or(X_35,X_36)),or(X_35,implies(X_34,X_36)))),
inference(resolve,[$cnf( axiom(implies(implies(X_34,or(X_35,X_36)),or(X_35,implies(X_34,X_36)))) )],[refute_0_56,refute_0_38]) ).
cnf(refute_0_58,plain,
( ~ theorem(implies(X_34,or(X_35,X_36)))
| ~ theorem(implies(implies(X_34,or(X_35,X_36)),or(X_35,implies(X_34,X_36))))
| theorem(or(X_35,implies(X_34,X_36))) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(X_35,implies(X_34,X_36)))),bind(Y,$fot(implies(X_34,or(X_35,X_36))))]]) ).
cnf(refute_0_59,plain,
( ~ theorem(implies(X_34,or(X_35,X_36)))
| theorem(or(X_35,implies(X_34,X_36))) ),
inference(resolve,[$cnf( theorem(implies(implies(X_34,or(X_35,X_36)),or(X_35,implies(X_34,X_36)))) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
( ~ theorem(implies(X_1540,or(or(X_272,X_271),not(X_271))))
| theorem(or(or(X_272,X_271),implies(X_1540,not(X_271)))) ),
inference(subst,[],[refute_0_59:[bind(X_34,$fot(X_1540)),bind(X_35,$fot(or(X_272,X_271))),bind(X_36,$fot(not(X_271)))]]) ).
cnf(refute_0_61,plain,
theorem(or(or(X_272,X_271),implies(X_1540,not(X_271)))),
inference(resolve,[$cnf( theorem(implies(X_1540,or(or(X_272,X_271),not(X_271)))) )],[refute_0_37,refute_0_60]) ).
cnf(refute_0_62,plain,
theorem(or(or(not(X),X_1589),implies(X_1588,not(X_1589)))),
inference(subst,[],[refute_0_61:[bind(X_1540,$fot(X_1588)),bind(X_271,$fot(X_1589)),bind(X_272,$fot(not(X)))]]) ).
cnf(refute_0_63,plain,
implies(X,X_1589) = or(not(X),X_1589),
inference(subst,[],[implies_definition:[bind(Y,$fot(X_1589))]]) ).
cnf(refute_0_64,plain,
( implies(X,X_1589) != or(not(X),X_1589)
| or(not(X),X_1589) = implies(X,X_1589) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(implies(X,X_1589))),bind(Y0,$fot(or(not(X),X_1589)))]]) ).
cnf(refute_0_65,plain,
or(not(X),X_1589) = implies(X,X_1589),
inference(resolve,[$cnf( $equal(implies(X,X_1589),or(not(X),X_1589)) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
( or(not(X),X_1589) != implies(X,X_1589)
| ~ theorem(or(or(not(X),X_1589),implies(X_1588,not(X_1589))))
| theorem(or(implies(X,X_1589),implies(X_1588,not(X_1589)))) ),
introduced(tautology,[equality,[$cnf( theorem(or(or(not(X),X_1589),implies(X_1588,not(X_1589)))) ),[0,0],$fot(implies(X,X_1589))]]) ).
cnf(refute_0_67,plain,
( ~ theorem(or(or(not(X),X_1589),implies(X_1588,not(X_1589))))
| theorem(or(implies(X,X_1589),implies(X_1588,not(X_1589)))) ),
inference(resolve,[$cnf( $equal(or(not(X),X_1589),implies(X,X_1589)) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
theorem(or(implies(X,X_1589),implies(X_1588,not(X_1589)))),
inference(resolve,[$cnf( theorem(or(or(not(X),X_1589),implies(X_1588,not(X_1589)))) )],[refute_0_62,refute_0_67]) ).
cnf(refute_0_69,plain,
( ~ theorem(implies(or(X_2810,X_2809),or(X_2810,not(not(X_2809)))))
| ~ theorem(or(X_2810,X_2809))
| theorem(or(X_2810,not(not(X_2809)))) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(X_2810,not(not(X_2809))))),bind(Y,$fot(or(X_2810,X_2809)))]]) ).
cnf(refute_0_70,plain,
( ~ axiom(implies(or(X_27,not(X_28)),implies(X_28,X_27)))
| theorem(implies(or(X_27,not(X_28)),implies(X_28,X_27))) ),
inference(subst,[],[rule_1:[bind(X,$fot(implies(or(X_27,not(X_28)),implies(X_28,X_27))))]]) ).
cnf(refute_0_71,plain,
axiom(implies(or(A,not(X_11)),or(not(X_11),A))),
inference(subst,[],[axiom_1_4:[bind(B,$fot(not(X_11)))]]) ).
cnf(refute_0_72,plain,
implies(X_11,A) = or(not(X_11),A),
inference(subst,[],[implies_definition:[bind(X,$fot(X_11)),bind(Y,$fot(A))]]) ).
cnf(refute_0_73,plain,
( implies(X_11,A) != or(not(X_11),A)
| or(not(X_11),A) = implies(X_11,A) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(implies(X_11,A))),bind(Y0,$fot(or(not(X_11),A)))]]) ).
cnf(refute_0_74,plain,
or(not(X_11),A) = implies(X_11,A),
inference(resolve,[$cnf( $equal(implies(X_11,A),or(not(X_11),A)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
( or(not(X_11),A) != implies(X_11,A)
| ~ axiom(implies(or(A,not(X_11)),or(not(X_11),A)))
| axiom(implies(or(A,not(X_11)),implies(X_11,A))) ),
introduced(tautology,[equality,[$cnf( axiom(implies(or(A,not(X_11)),or(not(X_11),A))) ),[0,1],$fot(implies(X_11,A))]]) ).
cnf(refute_0_76,plain,
( ~ axiom(implies(or(A,not(X_11)),or(not(X_11),A)))
| axiom(implies(or(A,not(X_11)),implies(X_11,A))) ),
inference(resolve,[$cnf( $equal(or(not(X_11),A),implies(X_11,A)) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
axiom(implies(or(A,not(X_11)),implies(X_11,A))),
inference(resolve,[$cnf( axiom(implies(or(A,not(X_11)),or(not(X_11),A))) )],[refute_0_71,refute_0_76]) ).
cnf(refute_0_78,plain,
axiom(implies(or(X_27,not(X_28)),implies(X_28,X_27))),
inference(subst,[],[refute_0_77:[bind(A,$fot(X_27)),bind(X_11,$fot(X_28))]]) ).
cnf(refute_0_79,plain,
theorem(implies(or(X_27,not(X_28)),implies(X_28,X_27))),
inference(resolve,[$cnf( axiom(implies(or(X_27,not(X_28)),implies(X_28,X_27))) )],[refute_0_78,refute_0_70]) ).
cnf(refute_0_80,plain,
( ~ theorem(implies(or(X_27,not(X_28)),implies(X_28,X_27)))
| ~ theorem(or(X_27,not(X_28)))
| theorem(implies(X_28,X_27)) ),
inference(subst,[],[rule_2:[bind(X,$fot(implies(X_28,X_27))),bind(Y,$fot(or(X_27,not(X_28))))]]) ).
cnf(refute_0_81,plain,
( ~ theorem(or(X_27,not(X_28)))
| theorem(implies(X_28,X_27)) ),
inference(resolve,[$cnf( theorem(implies(or(X_27,not(X_28)),implies(X_28,X_27))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
( ~ theorem(or(not(X),not(X_151)))
| theorem(implies(X_151,not(X))) ),
inference(subst,[],[refute_0_81:[bind(X_27,$fot(not(X))),bind(X_28,$fot(X_151))]]) ).
cnf(refute_0_83,plain,
implies(X,not(X_151)) = or(not(X),not(X_151)),
inference(subst,[],[implies_definition:[bind(Y,$fot(not(X_151)))]]) ).
cnf(refute_0_84,plain,
( implies(X,not(X_151)) != or(not(X),not(X_151))
| or(not(X),not(X_151)) = implies(X,not(X_151)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(implies(X,not(X_151)))),bind(Y0,$fot(or(not(X),not(X_151))))]]) ).
cnf(refute_0_85,plain,
or(not(X),not(X_151)) = implies(X,not(X_151)),
inference(resolve,[$cnf( $equal(implies(X,not(X_151)),or(not(X),not(X_151))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
( or(not(X),not(X_151)) != implies(X,not(X_151))
| ~ theorem(implies(X,not(X_151)))
| theorem(or(not(X),not(X_151))) ),
introduced(tautology,[equality,[$cnf( ~ theorem(or(not(X),not(X_151))) ),[0],$fot(implies(X,not(X_151)))]]) ).
cnf(refute_0_87,plain,
( ~ theorem(implies(X,not(X_151)))
| theorem(or(not(X),not(X_151))) ),
inference(resolve,[$cnf( $equal(or(not(X),not(X_151)),implies(X,not(X_151))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
( ~ theorem(implies(X,not(X_151)))
| theorem(implies(X_151,not(X))) ),
inference(resolve,[$cnf( theorem(or(not(X),not(X_151))) )],[refute_0_87,refute_0_82]) ).
cnf(refute_0_89,plain,
( ~ theorem(implies(not(X_151),not(X_151)))
| theorem(implies(X_151,not(not(X_151)))) ),
inference(subst,[],[refute_0_88:[bind(X,$fot(not(X_151)))]]) ).
cnf(refute_0_90,plain,
( ~ axiom(implies(or(A,A),A))
| theorem(implies(or(A,A),A)) ),
inference(subst,[],[rule_1:[bind(X,$fot(implies(or(A,A),A)))]]) ).
cnf(refute_0_91,plain,
theorem(implies(or(A,A),A)),
inference(resolve,[$cnf( axiom(implies(or(A,A),A)) )],[axiom_1_2,refute_0_90]) ).
cnf(refute_0_92,plain,
theorem(implies(or(X_74,X_74),X_74)),
inference(subst,[],[refute_0_91:[bind(A,$fot(X_74))]]) ).
cnf(refute_0_93,plain,
( ~ theorem(implies(or(X_74,X_74),X_74))
| ~ theorem(or(X_74,X_74))
| theorem(X_74) ),
inference(subst,[],[rule_2:[bind(X,$fot(X_74)),bind(Y,$fot(or(X_74,X_74)))]]) ).
cnf(refute_0_94,plain,
( ~ theorem(or(X_74,X_74))
| theorem(X_74) ),
inference(resolve,[$cnf( theorem(implies(or(X_74,X_74),X_74)) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
( ~ theorem(or(implies(X_1544,X_1544),implies(X_1544,X_1544)))
| theorem(implies(X_1544,X_1544)) ),
inference(subst,[],[refute_0_94:[bind(X_74,$fot(implies(X_1544,X_1544)))]]) ).
cnf(refute_0_96,plain,
theorem(implies(X_1542,or(X_1541,X_1542))),
inference(subst,[],[refute_0_8:[bind(X_3,$fot(X_1542)),bind(X_4,$fot(X_1541))]]) ).
cnf(refute_0_97,plain,
( ~ theorem(implies(X_1542,or(X_1541,X_1542)))
| theorem(or(X_1541,implies(X_1542,X_1542))) ),
inference(subst,[],[refute_0_59:[bind(X_34,$fot(X_1542)),bind(X_35,$fot(X_1541)),bind(X_36,$fot(X_1542))]]) ).
cnf(refute_0_98,plain,
theorem(or(X_1541,implies(X_1542,X_1542))),
inference(resolve,[$cnf( theorem(implies(X_1542,or(X_1541,X_1542))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
theorem(or(implies(X_1544,X_1544),implies(X_1544,X_1544))),
inference(subst,[],[refute_0_98:[bind(X_1541,$fot(implies(X_1544,X_1544))),bind(X_1542,$fot(X_1544))]]) ).
cnf(refute_0_100,plain,
theorem(implies(X_1544,X_1544)),
inference(resolve,[$cnf( theorem(or(implies(X_1544,X_1544),implies(X_1544,X_1544))) )],[refute_0_99,refute_0_95]) ).
cnf(refute_0_101,plain,
theorem(implies(not(X_151),not(X_151))),
inference(subst,[],[refute_0_100:[bind(X_1544,$fot(not(X_151)))]]) ).
cnf(refute_0_102,plain,
theorem(implies(X_151,not(not(X_151)))),
inference(resolve,[$cnf( theorem(implies(not(X_151),not(X_151))) )],[refute_0_101,refute_0_89]) ).
cnf(refute_0_103,plain,
theorem(implies(X_2804,not(not(X_2804)))),
inference(subst,[],[refute_0_102:[bind(X_151,$fot(X_2804))]]) ).
cnf(refute_0_104,plain,
( ~ axiom(implies(implies(X_39,X_40),implies(or(X_41,X_39),or(X_41,X_40))))
| theorem(implies(implies(X_39,X_40),implies(or(X_41,X_39),or(X_41,X_40)))) ),
inference(subst,[],[rule_1:[bind(X,$fot(implies(implies(X_39,X_40),implies(or(X_41,X_39),or(X_41,X_40)))))]]) ).
cnf(refute_0_105,plain,
axiom(implies(implies(X_39,X_40),implies(or(X_41,X_39),or(X_41,X_40)))),
inference(subst,[],[axiom_1_6:[bind(A,$fot(X_39)),bind(B,$fot(X_40)),bind(C,$fot(X_41))]]) ).
cnf(refute_0_106,plain,
theorem(implies(implies(X_39,X_40),implies(or(X_41,X_39),or(X_41,X_40)))),
inference(resolve,[$cnf( axiom(implies(implies(X_39,X_40),implies(or(X_41,X_39),or(X_41,X_40)))) )],[refute_0_105,refute_0_104]) ).
cnf(refute_0_107,plain,
( ~ theorem(implies(X_39,X_40))
| ~ theorem(implies(implies(X_39,X_40),implies(or(X_41,X_39),or(X_41,X_40))))
| theorem(implies(or(X_41,X_39),or(X_41,X_40))) ),
inference(subst,[],[rule_2:[bind(X,$fot(implies(or(X_41,X_39),or(X_41,X_40)))),bind(Y,$fot(implies(X_39,X_40)))]]) ).
cnf(refute_0_108,plain,
( ~ theorem(implies(X_39,X_40))
| theorem(implies(or(X_41,X_39),or(X_41,X_40))) ),
inference(resolve,[$cnf( theorem(implies(implies(X_39,X_40),implies(or(X_41,X_39),or(X_41,X_40)))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
( ~ theorem(implies(X_2804,not(not(X_2804))))
| theorem(implies(or(X_2806,X_2804),or(X_2806,not(not(X_2804))))) ),
inference(subst,[],[refute_0_108:[bind(X_39,$fot(X_2804)),bind(X_40,$fot(not(not(X_2804)))),bind(X_41,$fot(X_2806))]]) ).
cnf(refute_0_110,plain,
theorem(implies(or(X_2806,X_2804),or(X_2806,not(not(X_2804))))),
inference(resolve,[$cnf( theorem(implies(X_2804,not(not(X_2804)))) )],[refute_0_103,refute_0_109]) ).
cnf(refute_0_111,plain,
theorem(implies(or(X_2810,X_2809),or(X_2810,not(not(X_2809))))),
inference(subst,[],[refute_0_110:[bind(X_2804,$fot(X_2809)),bind(X_2806,$fot(X_2810))]]) ).
cnf(refute_0_112,plain,
( ~ theorem(or(X_2810,X_2809))
| theorem(or(X_2810,not(not(X_2809)))) ),
inference(resolve,[$cnf( theorem(implies(or(X_2810,X_2809),or(X_2810,not(not(X_2809))))) )],[refute_0_111,refute_0_69]) ).
cnf(refute_0_113,plain,
( ~ theorem(or(implies(X,X_1589),implies(X_1588,not(X_1589))))
| theorem(or(implies(X,X_1589),not(not(implies(X_1588,not(X_1589)))))) ),
inference(subst,[],[refute_0_112:[bind(X_2809,$fot(implies(X_1588,not(X_1589)))),bind(X_2810,$fot(implies(X,X_1589)))]]) ).
cnf(refute_0_114,plain,
theorem(or(implies(X,X_1589),not(not(implies(X_1588,not(X_1589)))))),
inference(resolve,[$cnf( theorem(or(implies(X,X_1589),implies(X_1588,not(X_1589)))) )],[refute_0_68,refute_0_113]) ).
cnf(refute_0_115,plain,
or(not(P),not(Q)) = implies(P,not(Q)),
inference(subst,[],[refute_0_47:[bind(X,$fot(P)),bind(Y,$fot(not(Q)))]]) ).
cnf(refute_0_116,plain,
not(or(not(P),not(Q))) = not(or(not(P),not(Q))),
introduced(tautology,[refl,[$fot(not(or(not(P),not(Q))))]]) ).
cnf(refute_0_117,plain,
( not(or(not(P),not(Q))) != not(or(not(P),not(Q)))
| or(not(P),not(Q)) != implies(P,not(Q))
| not(or(not(P),not(Q))) = not(implies(P,not(Q))) ),
introduced(tautology,[equality,[$cnf( $equal(not(or(not(P),not(Q))),not(or(not(P),not(Q)))) ),[1,0],$fot(implies(P,not(Q)))]]) ).
cnf(refute_0_118,plain,
( or(not(P),not(Q)) != implies(P,not(Q))
| not(or(not(P),not(Q))) = not(implies(P,not(Q))) ),
inference(resolve,[$cnf( $equal(not(or(not(P),not(Q))),not(or(not(P),not(Q)))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
not(or(not(P),not(Q))) = not(implies(P,not(Q))),
inference(resolve,[$cnf( $equal(or(not(P),not(Q)),implies(P,not(Q))) )],[refute_0_115,refute_0_118]) ).
cnf(refute_0_120,plain,
( and(P,Q) != not(or(not(P),not(Q)))
| not(or(not(P),not(Q))) != not(implies(P,not(Q)))
| and(P,Q) = not(implies(P,not(Q))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(and(P,Q),not(implies(P,not(Q)))) ),[0],$fot(not(or(not(P),not(Q))))]]) ).
cnf(refute_0_121,plain,
( and(P,Q) != not(or(not(P),not(Q)))
| and(P,Q) = not(implies(P,not(Q))) ),
inference(resolve,[$cnf( $equal(not(or(not(P),not(Q))),not(implies(P,not(Q)))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
and(P,Q) = not(implies(P,not(Q))),
inference(resolve,[$cnf( $equal(and(P,Q),not(or(not(P),not(Q)))) )],[and_defn,refute_0_121]) ).
cnf(refute_0_123,plain,
( and(P,Q) != not(implies(P,not(Q)))
| not(implies(P,not(Q))) = and(P,Q) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(and(P,Q))),bind(Y0,$fot(not(implies(P,not(Q)))))]]) ).
cnf(refute_0_124,plain,
not(implies(P,not(Q))) = and(P,Q),
inference(resolve,[$cnf( $equal(and(P,Q),not(implies(P,not(Q)))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
not(implies(X_1588,not(X_1589))) = and(X_1588,X_1589),
inference(subst,[],[refute_0_124:[bind(P,$fot(X_1588)),bind(Q,$fot(X_1589))]]) ).
cnf(refute_0_126,plain,
not(not(implies(X_1588,not(X_1589)))) = not(not(implies(X_1588,not(X_1589)))),
introduced(tautology,[refl,[$fot(not(not(implies(X_1588,not(X_1589)))))]]) ).
cnf(refute_0_127,plain,
( not(implies(X_1588,not(X_1589))) != and(X_1588,X_1589)
| not(not(implies(X_1588,not(X_1589)))) != not(not(implies(X_1588,not(X_1589))))
| not(not(implies(X_1588,not(X_1589)))) = not(and(X_1588,X_1589)) ),
introduced(tautology,[equality,[$cnf( $equal(not(not(implies(X_1588,not(X_1589)))),not(not(implies(X_1588,not(X_1589))))) ),[1,0],$fot(and(X_1588,X_1589))]]) ).
cnf(refute_0_128,plain,
( not(implies(X_1588,not(X_1589))) != and(X_1588,X_1589)
| not(not(implies(X_1588,not(X_1589)))) = not(and(X_1588,X_1589)) ),
inference(resolve,[$cnf( $equal(not(not(implies(X_1588,not(X_1589)))),not(not(implies(X_1588,not(X_1589))))) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
not(not(implies(X_1588,not(X_1589)))) = not(and(X_1588,X_1589)),
inference(resolve,[$cnf( $equal(not(implies(X_1588,not(X_1589))),and(X_1588,X_1589)) )],[refute_0_125,refute_0_128]) ).
cnf(refute_0_130,plain,
or(implies(X,X_1589),not(not(implies(X_1588,not(X_1589))))) = or(implies(X,X_1589),not(not(implies(X_1588,not(X_1589))))),
introduced(tautology,[refl,[$fot(or(implies(X,X_1589),not(not(implies(X_1588,not(X_1589))))))]]) ).
cnf(refute_0_131,plain,
( not(not(implies(X_1588,not(X_1589)))) != not(and(X_1588,X_1589))
| or(implies(X,X_1589),not(not(implies(X_1588,not(X_1589))))) != or(implies(X,X_1589),not(not(implies(X_1588,not(X_1589)))))
| or(implies(X,X_1589),not(not(implies(X_1588,not(X_1589))))) = or(implies(X,X_1589),not(and(X_1588,X_1589))) ),
introduced(tautology,[equality,[$cnf( $equal(or(implies(X,X_1589),not(not(implies(X_1588,not(X_1589))))),or(implies(X,X_1589),not(not(implies(X_1588,not(X_1589)))))) ),[1,1],$fot(not(and(X_1588,X_1589)))]]) ).
cnf(refute_0_132,plain,
( not(not(implies(X_1588,not(X_1589)))) != not(and(X_1588,X_1589))
| or(implies(X,X_1589),not(not(implies(X_1588,not(X_1589))))) = or(implies(X,X_1589),not(and(X_1588,X_1589))) ),
inference(resolve,[$cnf( $equal(or(implies(X,X_1589),not(not(implies(X_1588,not(X_1589))))),or(implies(X,X_1589),not(not(implies(X_1588,not(X_1589)))))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
or(implies(X,X_1589),not(not(implies(X_1588,not(X_1589))))) = or(implies(X,X_1589),not(and(X_1588,X_1589))),
inference(resolve,[$cnf( $equal(not(not(implies(X_1588,not(X_1589)))),not(and(X_1588,X_1589))) )],[refute_0_129,refute_0_132]) ).
cnf(refute_0_134,plain,
( or(implies(X,X_1589),not(not(implies(X_1588,not(X_1589))))) != or(implies(X,X_1589),not(and(X_1588,X_1589)))
| ~ theorem(or(implies(X,X_1589),not(not(implies(X_1588,not(X_1589))))))
| theorem(or(implies(X,X_1589),not(and(X_1588,X_1589)))) ),
introduced(tautology,[equality,[$cnf( theorem(or(implies(X,X_1589),not(not(implies(X_1588,not(X_1589)))))) ),[0],$fot(or(implies(X,X_1589),not(and(X_1588,X_1589))))]]) ).
cnf(refute_0_135,plain,
( ~ theorem(or(implies(X,X_1589),not(not(implies(X_1588,not(X_1589))))))
| theorem(or(implies(X,X_1589),not(and(X_1588,X_1589)))) ),
inference(resolve,[$cnf( $equal(or(implies(X,X_1589),not(not(implies(X_1588,not(X_1589))))),or(implies(X,X_1589),not(and(X_1588,X_1589)))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
theorem(or(implies(X,X_1589),not(and(X_1588,X_1589)))),
inference(resolve,[$cnf( theorem(or(implies(X,X_1589),not(not(implies(X_1588,not(X_1589)))))) )],[refute_0_114,refute_0_135]) ).
cnf(refute_0_137,plain,
theorem(or(implies(X_14001,X_14003),not(and(X_14002,X_14003)))),
inference(subst,[],[refute_0_136:[bind(X,$fot(X_14001)),bind(X_1588,$fot(X_14002)),bind(X_1589,$fot(X_14003))]]) ).
cnf(refute_0_138,plain,
theorem(or(not(and(X_14002,X_14003)),implies(X_14001,X_14003))),
inference(resolve,[$cnf( theorem(or(implies(X_14001,X_14003),not(and(X_14002,X_14003)))) )],[refute_0_137,refute_0_5]) ).
cnf(refute_0_139,plain,
or(not(and(X_14002,X_14003)),implies(X_14001,X_14003)) = implies(and(X_14002,X_14003),implies(X_14001,X_14003)),
inference(subst,[],[refute_0_47:[bind(X,$fot(and(X_14002,X_14003))),bind(Y,$fot(implies(X_14001,X_14003)))]]) ).
cnf(refute_0_140,plain,
( or(not(and(X_14002,X_14003)),implies(X_14001,X_14003)) != implies(and(X_14002,X_14003),implies(X_14001,X_14003))
| ~ theorem(or(not(and(X_14002,X_14003)),implies(X_14001,X_14003)))
| theorem(implies(and(X_14002,X_14003),implies(X_14001,X_14003))) ),
introduced(tautology,[equality,[$cnf( theorem(or(not(and(X_14002,X_14003)),implies(X_14001,X_14003))) ),[0],$fot(implies(and(X_14002,X_14003),implies(X_14001,X_14003)))]]) ).
cnf(refute_0_141,plain,
( ~ theorem(or(not(and(X_14002,X_14003)),implies(X_14001,X_14003)))
| theorem(implies(and(X_14002,X_14003),implies(X_14001,X_14003))) ),
inference(resolve,[$cnf( $equal(or(not(and(X_14002,X_14003)),implies(X_14001,X_14003)),implies(and(X_14002,X_14003),implies(X_14001,X_14003))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
theorem(implies(and(X_14002,X_14003),implies(X_14001,X_14003))),
inference(resolve,[$cnf( theorem(or(not(and(X_14002,X_14003)),implies(X_14001,X_14003))) )],[refute_0_138,refute_0_141]) ).
cnf(refute_0_143,plain,
theorem(implies(and(p,q),implies(p,q))),
inference(subst,[],[refute_0_142:[bind(X_14001,$fot(p)),bind(X_14002,$fot(p)),bind(X_14003,$fot(q))]]) ).
cnf(refute_0_144,plain,
$false,
inference(resolve,[$cnf( theorem(implies(and(p,q),implies(p,q))) )],[refute_0_143,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL248-3 : TPTP v8.1.0. Released v2.3.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 4 01:10:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 9.36/9.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.36/9.55
% 9.36/9.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.41/9.57
%------------------------------------------------------------------------------