TSTP Solution File: LCL211-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL211-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 12:50:39 EDT 2022
% Result : Unsatisfiable 40.03s 40.22s
% Output : CNFRefutation 40.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 9
% Syntax : Number of clauses : 72 ( 39 unt; 0 nHn; 32 RR)
% Number of literals : 115 ( 0 equ; 44 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 167 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1_2,axiom,
axiom(or(not(or(A,A)),A)) ).
cnf(axiom_1_3,axiom,
axiom(or(not(A),or(B,A))) ).
cnf(axiom_1_4,axiom,
axiom(or(not(or(A,B)),or(B,A))) ).
cnf(axiom_1_5,axiom,
axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) ).
cnf(axiom_1_6,axiom,
axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) ).
cnf(rule_1,axiom,
( theorem(X)
| ~ axiom(X) ) ).
cnf(rule_2,axiom,
( theorem(X)
| ~ axiom(or(not(Y),X))
| ~ theorem(Y) ) ).
cnf(rule_3,axiom,
( theorem(or(not(X),Z))
| ~ axiom(or(not(X),Y))
| ~ theorem(or(not(Y),Z)) ) ).
cnf(prove_this,negated_conjecture,
~ theorem(or(not(not(q)),or(not(or(p,q)),p))) ).
cnf(refute_0_0,plain,
axiom(or(not(X_397),or(B,X_397))),
inference(subst,[],[axiom_1_3:[bind(A,$fot(X_397))]]) ).
cnf(refute_0_1,plain,
( ~ axiom(or(not(X_397),or(B,X_397)))
| ~ theorem(or(not(or(B,X_397)),X_399))
| theorem(or(not(X_397),X_399)) ),
inference(subst,[],[rule_3:[bind(X,$fot(X_397)),bind(Y,$fot(or(B,X_397))),bind(Z,$fot(X_399))]]) ).
cnf(refute_0_2,plain,
( ~ theorem(or(not(or(B,X_397)),X_399))
| theorem(or(not(X_397),X_399)) ),
inference(resolve,[$cnf( axiom(or(not(X_397),or(B,X_397))) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ theorem(or(not(or(X_87978,not(X_87979))),or(not(or(X_87978,X_87979)),X_87978)))
| theorem(or(not(not(X_87979)),or(not(or(X_87978,X_87979)),X_87978))) ),
inference(subst,[],[refute_0_2:[bind(B,$fot(X_87978)),bind(X_397,$fot(not(X_87979))),bind(X_399,$fot(or(not(or(X_87978,X_87979)),X_87978)))]]) ).
cnf(refute_0_4,plain,
( ~ axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))
| ~ theorem(or(A,or(B,C)))
| theorem(or(B,or(A,C))) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(B,or(A,C)))),bind(Y,$fot(or(A,or(B,C))))]]) ).
cnf(refute_0_5,plain,
( ~ theorem(or(A,or(B,C)))
| theorem(or(B,or(A,C))) ),
inference(resolve,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ theorem(or(not(or(X_87974,X_87975)),or(not(or(X_87974,not(X_87975))),X_87974)))
| theorem(or(not(or(X_87974,not(X_87975))),or(not(or(X_87974,X_87975)),X_87974))) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(not(or(X_87974,X_87975)))),bind(B,$fot(not(or(X_87974,not(X_87975))))),bind(C,$fot(X_87974))]]) ).
cnf(refute_0_7,plain,
( ~ axiom(or(not(or(A,B)),or(B,A)))
| ~ theorem(or(not(or(B,A)),X_399))
| theorem(or(not(or(A,B)),X_399)) ),
inference(subst,[],[rule_3:[bind(X,$fot(or(A,B))),bind(Y,$fot(or(B,A))),bind(Z,$fot(X_399))]]) ).
cnf(refute_0_8,plain,
( ~ theorem(or(not(or(B,A)),X_399))
| theorem(or(not(or(A,B)),X_399)) ),
inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ theorem(or(not(or(X_87971,X_87970)),or(not(or(X_87970,not(X_87971))),X_87970)))
| theorem(or(not(or(X_87970,X_87971)),or(not(or(X_87970,not(X_87971))),X_87970))) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_87970)),bind(B,$fot(X_87971)),bind(X_399,$fot(or(not(or(X_87970,not(X_87971))),X_87970)))]]) ).
cnf(refute_0_10,plain,
( ~ theorem(or(not(or(not(or(X_87966,not(X_87967))),or(X_87967,X_87966))),or(not(or(X_87966,not(X_87967))),X_87966)))
| theorem(or(not(or(X_87967,X_87966)),or(not(or(X_87966,not(X_87967))),X_87966))) ),
inference(subst,[],[refute_0_2:[bind(B,$fot(not(or(X_87966,not(X_87967))))),bind(X_397,$fot(or(X_87967,X_87966))),bind(X_399,$fot(or(not(or(X_87966,not(X_87967))),X_87966)))]]) ).
cnf(refute_0_11,plain,
( ~ axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))
| ~ theorem(or(not(or(B,or(A,C))),X_399))
| theorem(or(not(or(A,or(B,C))),X_399)) ),
inference(subst,[],[rule_3:[bind(X,$fot(or(A,or(B,C)))),bind(Y,$fot(or(B,or(A,C)))),bind(Z,$fot(X_399))]]) ).
cnf(refute_0_12,plain,
( ~ theorem(or(not(or(B,or(A,C))),X_399))
| theorem(or(not(or(A,or(B,C))),X_399)) ),
inference(resolve,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ theorem(or(not(or(X_87929,or(not(or(X_87928,not(X_87929))),X_87928))),or(not(or(X_87928,not(X_87929))),X_87928)))
| theorem(or(not(or(not(or(X_87928,not(X_87929))),or(X_87929,X_87928))),or(not(or(X_87928,not(X_87929))),X_87928))) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(not(or(X_87928,not(X_87929))))),bind(B,$fot(X_87929)),bind(C,$fot(X_87928)),bind(X_399,$fot(or(not(or(X_87928,not(X_87929))),X_87928)))]]) ).
cnf(refute_0_14,plain,
( ~ theorem(or(not(or(or(not(or(X_87920,not(X_87921))),X_87920),X_87921)),or(not(or(X_87920,not(X_87921))),X_87920)))
| theorem(or(not(or(X_87921,or(not(or(X_87920,not(X_87921))),X_87920))),or(not(or(X_87920,not(X_87921))),X_87920))) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_87921)),bind(B,$fot(or(not(or(X_87920,not(X_87921))),X_87920))),bind(X_399,$fot(or(not(or(X_87920,not(X_87921))),X_87920)))]]) ).
cnf(refute_0_15,plain,
axiom(or(not(or(X_23,X_23)),X_23)),
inference(subst,[],[axiom_1_2:[bind(A,$fot(X_23))]]) ).
cnf(refute_0_16,plain,
( ~ axiom(or(not(or(X_23,X_23)),X_23))
| ~ theorem(or(X_23,X_23))
| theorem(X_23) ),
inference(subst,[],[rule_2:[bind(X,$fot(X_23)),bind(Y,$fot(or(X_23,X_23)))]]) ).
cnf(refute_0_17,plain,
( ~ theorem(or(X_23,X_23))
| theorem(X_23) ),
inference(resolve,[$cnf( axiom(or(not(or(X_23,X_23)),X_23)) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ theorem(or(or(not(or(or(not(or(X_87917,not(X_87918))),X_87917),X_87918)),or(not(or(X_87917,not(X_87918))),X_87917)),or(not(or(or(not(or(X_87917,not(X_87918))),X_87917),X_87918)),or(not(or(X_87917,not(X_87918))),X_87917))))
| theorem(or(not(or(or(not(or(X_87917,not(X_87918))),X_87917),X_87918)),or(not(or(X_87917,not(X_87918))),X_87917))) ),
inference(subst,[],[refute_0_17:[bind(X_23,$fot(or(not(or(or(not(or(X_87917,not(X_87918))),X_87917),X_87918)),or(not(or(X_87917,not(X_87918))),X_87917))))]]) ).
cnf(refute_0_19,plain,
( ~ theorem(or(X_87912,or(or(not(or(X_87915,X_87914)),or(not(or(X_87913,not(X_87914))),X_87913)),X_87915)))
| theorem(or(or(not(or(X_87915,X_87914)),or(not(or(X_87913,not(X_87914))),X_87913)),or(X_87912,X_87915))) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_87912)),bind(B,$fot(or(not(or(X_87915,X_87914)),or(not(or(X_87913,not(X_87914))),X_87913)))),bind(C,$fot(X_87915))]]) ).
cnf(refute_0_20,plain,
axiom(or(not(X_24),or(B,X_24))),
inference(subst,[],[axiom_1_3:[bind(A,$fot(X_24))]]) ).
cnf(refute_0_21,plain,
( ~ axiom(or(not(X_24),or(B,X_24)))
| ~ theorem(X_24)
| theorem(or(B,X_24)) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(B,X_24))),bind(Y,$fot(X_24))]]) ).
cnf(refute_0_22,plain,
( ~ theorem(X_24)
| theorem(or(B,X_24)) ),
inference(resolve,[$cnf( axiom(or(not(X_24),or(B,X_24))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ theorem(or(or(not(or(X_10314,X_10313)),or(not(or(X_10312,not(X_10313))),X_10312)),X_10314))
| theorem(or(B,or(or(not(or(X_10314,X_10313)),or(not(or(X_10312,not(X_10313))),X_10312)),X_10314))) ),
inference(subst,[],[refute_0_22:[bind(X_24,$fot(or(or(not(or(X_10314,X_10313)),or(not(or(X_10312,not(X_10313))),X_10312)),X_10314)))]]) ).
cnf(refute_0_24,plain,
( ~ axiom(or(not(or(A,B)),or(B,A)))
| ~ theorem(or(A,B))
| theorem(or(B,A)) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(B,A))),bind(Y,$fot(or(A,B)))]]) ).
cnf(refute_0_25,plain,
( ~ theorem(or(A,B))
| theorem(or(B,A)) ),
inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ theorem(or(X_2706,or(not(or(X_2706,X_2705)),or(not(or(X_2704,not(X_2705))),X_2704))))
| theorem(or(or(not(or(X_2706,X_2705)),or(not(or(X_2704,not(X_2705))),X_2704)),X_2706)) ),
inference(subst,[],[refute_0_25:[bind(A,$fot(X_2706)),bind(B,$fot(or(not(or(X_2706,X_2705)),or(not(or(X_2704,not(X_2705))),X_2704))))]]) ).
cnf(refute_0_27,plain,
( ~ theorem(or(not(or(X_731,X_730)),or(X_731,or(not(or(X_729,not(X_730))),X_729))))
| theorem(or(X_731,or(not(or(X_731,X_730)),or(not(or(X_729,not(X_730))),X_729)))) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(not(or(X_731,X_730)))),bind(B,$fot(X_731)),bind(C,$fot(or(not(or(X_729,not(X_730))),X_729)))]]) ).
cnf(refute_0_28,plain,
( ~ axiom(or(not(or(X_7,X_8)),or(X_8,X_7)))
| theorem(or(not(or(X_7,X_8)),or(X_8,X_7))) ),
inference(subst,[],[rule_1:[bind(X,$fot(or(not(or(X_7,X_8)),or(X_8,X_7))))]]) ).
cnf(refute_0_29,plain,
axiom(or(not(or(X_7,X_8)),or(X_8,X_7))),
inference(subst,[],[axiom_1_4:[bind(A,$fot(X_7)),bind(B,$fot(X_8))]]) ).
cnf(refute_0_30,plain,
theorem(or(not(or(X_7,X_8)),or(X_8,X_7))),
inference(resolve,[$cnf( axiom(or(not(or(X_7,X_8)),or(X_8,X_7))) )],[refute_0_29,refute_0_28]) ).
cnf(refute_0_31,plain,
theorem(or(not(or(X_131,X_130)),or(X_130,X_131))),
inference(subst,[],[refute_0_30:[bind(X_7,$fot(X_131)),bind(X_8,$fot(X_130))]]) ).
cnf(refute_0_32,plain,
( ~ theorem(or(not(or(X_131,X_130)),or(X_130,X_131)))
| theorem(or(X_130,or(not(or(X_131,X_130)),X_131))) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(not(or(X_131,X_130)))),bind(B,$fot(X_130)),bind(C,$fot(X_131))]]) ).
cnf(refute_0_33,plain,
theorem(or(X_130,or(not(or(X_131,X_130)),X_131))),
inference(resolve,[$cnf( theorem(or(not(or(X_131,X_130)),or(X_130,X_131))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
theorem(or(not(X_663),or(not(or(X_131,not(X_663))),X_131))),
inference(subst,[],[refute_0_33:[bind(X_130,$fot(not(X_663)))]]) ).
cnf(refute_0_35,plain,
( ~ axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B))))
| ~ theorem(or(not(A),B))
| theorem(or(not(or(C,A)),or(C,B))) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(not(or(C,A)),or(C,B)))),bind(Y,$fot(or(not(A),B)))]]) ).
cnf(refute_0_36,plain,
( ~ theorem(or(not(A),B))
| theorem(or(not(or(C,A)),or(C,B))) ),
inference(resolve,[$cnf( axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) )],[axiom_1_6,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ theorem(or(not(X_663),or(not(or(X_131,not(X_663))),X_131)))
| theorem(or(not(or(X_665,X_663)),or(X_665,or(not(or(X_131,not(X_663))),X_131)))) ),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_663)),bind(B,$fot(or(not(or(X_131,not(X_663))),X_131))),bind(C,$fot(X_665))]]) ).
cnf(refute_0_38,plain,
theorem(or(not(or(X_665,X_663)),or(X_665,or(not(or(X_131,not(X_663))),X_131)))),
inference(resolve,[$cnf( theorem(or(not(X_663),or(not(or(X_131,not(X_663))),X_131))) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
theorem(or(not(or(X_731,X_730)),or(X_731,or(not(or(X_729,not(X_730))),X_729)))),
inference(subst,[],[refute_0_38:[bind(X_131,$fot(X_729)),bind(X_663,$fot(X_730)),bind(X_665,$fot(X_731))]]) ).
cnf(refute_0_40,plain,
theorem(or(X_731,or(not(or(X_731,X_730)),or(not(or(X_729,not(X_730))),X_729)))),
inference(resolve,[$cnf( theorem(or(not(or(X_731,X_730)),or(X_731,or(not(or(X_729,not(X_730))),X_729)))) )],[refute_0_39,refute_0_27]) ).
cnf(refute_0_41,plain,
theorem(or(X_2706,or(not(or(X_2706,X_2705)),or(not(or(X_2704,not(X_2705))),X_2704)))),
inference(subst,[],[refute_0_40:[bind(X_729,$fot(X_2704)),bind(X_730,$fot(X_2705)),bind(X_731,$fot(X_2706))]]) ).
cnf(refute_0_42,plain,
theorem(or(or(not(or(X_2706,X_2705)),or(not(or(X_2704,not(X_2705))),X_2704)),X_2706)),
inference(resolve,[$cnf( theorem(or(X_2706,or(not(or(X_2706,X_2705)),or(not(or(X_2704,not(X_2705))),X_2704)))) )],[refute_0_41,refute_0_26]) ).
cnf(refute_0_43,plain,
theorem(or(or(not(or(X_10314,X_10313)),or(not(or(X_10312,not(X_10313))),X_10312)),X_10314)),
inference(subst,[],[refute_0_42:[bind(X_2704,$fot(X_10312)),bind(X_2705,$fot(X_10313)),bind(X_2706,$fot(X_10314))]]) ).
cnf(refute_0_44,plain,
theorem(or(B,or(or(not(or(X_10314,X_10313)),or(not(or(X_10312,not(X_10313))),X_10312)),X_10314))),
inference(resolve,[$cnf( theorem(or(or(not(or(X_10314,X_10313)),or(not(or(X_10312,not(X_10313))),X_10312)),X_10314)) )],[refute_0_43,refute_0_23]) ).
cnf(refute_0_45,plain,
theorem(or(X_87912,or(or(not(or(X_87915,X_87914)),or(not(or(X_87913,not(X_87914))),X_87913)),X_87915))),
inference(subst,[],[refute_0_44:[bind(B,$fot(X_87912)),bind(X_10312,$fot(X_87913)),bind(X_10313,$fot(X_87914)),bind(X_10314,$fot(X_87915))]]) ).
cnf(refute_0_46,plain,
theorem(or(or(not(or(X_87915,X_87914)),or(not(or(X_87913,not(X_87914))),X_87913)),or(X_87912,X_87915))),
inference(resolve,[$cnf( theorem(or(X_87912,or(or(not(or(X_87915,X_87914)),or(not(or(X_87913,not(X_87914))),X_87913)),X_87915))) )],[refute_0_45,refute_0_19]) ).
cnf(refute_0_47,plain,
theorem(or(or(not(or(or(not(or(X_87917,not(X_87918))),X_87917),X_87918)),or(not(or(X_87917,not(X_87918))),X_87917)),or(not(or(or(not(or(X_87917,not(X_87918))),X_87917),X_87918)),or(not(or(X_87917,not(X_87918))),X_87917)))),
inference(subst,[],[refute_0_46:[bind(X_87912,$fot(not(or(or(not(or(X_87917,not(X_87918))),X_87917),X_87918)))),bind(X_87913,$fot(X_87917)),bind(X_87914,$fot(X_87918)),bind(X_87915,$fot(or(not(or(X_87917,not(X_87918))),X_87917)))]]) ).
cnf(refute_0_48,plain,
theorem(or(not(or(or(not(or(X_87917,not(X_87918))),X_87917),X_87918)),or(not(or(X_87917,not(X_87918))),X_87917))),
inference(resolve,[$cnf( theorem(or(or(not(or(or(not(or(X_87917,not(X_87918))),X_87917),X_87918)),or(not(or(X_87917,not(X_87918))),X_87917)),or(not(or(or(not(or(X_87917,not(X_87918))),X_87917),X_87918)),or(not(or(X_87917,not(X_87918))),X_87917)))) )],[refute_0_47,refute_0_18]) ).
cnf(refute_0_49,plain,
theorem(or(not(or(or(not(or(X_87920,not(X_87921))),X_87920),X_87921)),or(not(or(X_87920,not(X_87921))),X_87920))),
inference(subst,[],[refute_0_48:[bind(X_87917,$fot(X_87920)),bind(X_87918,$fot(X_87921))]]) ).
cnf(refute_0_50,plain,
theorem(or(not(or(X_87921,or(not(or(X_87920,not(X_87921))),X_87920))),or(not(or(X_87920,not(X_87921))),X_87920))),
inference(resolve,[$cnf( theorem(or(not(or(or(not(or(X_87920,not(X_87921))),X_87920),X_87921)),or(not(or(X_87920,not(X_87921))),X_87920))) )],[refute_0_49,refute_0_14]) ).
cnf(refute_0_51,plain,
theorem(or(not(or(X_87929,or(not(or(X_87928,not(X_87929))),X_87928))),or(not(or(X_87928,not(X_87929))),X_87928))),
inference(subst,[],[refute_0_50:[bind(X_87920,$fot(X_87928)),bind(X_87921,$fot(X_87929))]]) ).
cnf(refute_0_52,plain,
theorem(or(not(or(not(or(X_87928,not(X_87929))),or(X_87929,X_87928))),or(not(or(X_87928,not(X_87929))),X_87928))),
inference(resolve,[$cnf( theorem(or(not(or(X_87929,or(not(or(X_87928,not(X_87929))),X_87928))),or(not(or(X_87928,not(X_87929))),X_87928))) )],[refute_0_51,refute_0_13]) ).
cnf(refute_0_53,plain,
theorem(or(not(or(not(or(X_87966,not(X_87967))),or(X_87967,X_87966))),or(not(or(X_87966,not(X_87967))),X_87966))),
inference(subst,[],[refute_0_52:[bind(X_87928,$fot(X_87966)),bind(X_87929,$fot(X_87967))]]) ).
cnf(refute_0_54,plain,
theorem(or(not(or(X_87967,X_87966)),or(not(or(X_87966,not(X_87967))),X_87966))),
inference(resolve,[$cnf( theorem(or(not(or(not(or(X_87966,not(X_87967))),or(X_87967,X_87966))),or(not(or(X_87966,not(X_87967))),X_87966))) )],[refute_0_53,refute_0_10]) ).
cnf(refute_0_55,plain,
theorem(or(not(or(X_87971,X_87970)),or(not(or(X_87970,not(X_87971))),X_87970))),
inference(subst,[],[refute_0_54:[bind(X_87966,$fot(X_87970)),bind(X_87967,$fot(X_87971))]]) ).
cnf(refute_0_56,plain,
theorem(or(not(or(X_87970,X_87971)),or(not(or(X_87970,not(X_87971))),X_87970))),
inference(resolve,[$cnf( theorem(or(not(or(X_87971,X_87970)),or(not(or(X_87970,not(X_87971))),X_87970))) )],[refute_0_55,refute_0_9]) ).
cnf(refute_0_57,plain,
theorem(or(not(or(X_87974,X_87975)),or(not(or(X_87974,not(X_87975))),X_87974))),
inference(subst,[],[refute_0_56:[bind(X_87970,$fot(X_87974)),bind(X_87971,$fot(X_87975))]]) ).
cnf(refute_0_58,plain,
theorem(or(not(or(X_87974,not(X_87975))),or(not(or(X_87974,X_87975)),X_87974))),
inference(resolve,[$cnf( theorem(or(not(or(X_87974,X_87975)),or(not(or(X_87974,not(X_87975))),X_87974))) )],[refute_0_57,refute_0_6]) ).
cnf(refute_0_59,plain,
theorem(or(not(or(X_87978,not(X_87979))),or(not(or(X_87978,X_87979)),X_87978))),
inference(subst,[],[refute_0_58:[bind(X_87974,$fot(X_87978)),bind(X_87975,$fot(X_87979))]]) ).
cnf(refute_0_60,plain,
theorem(or(not(not(X_87979)),or(not(or(X_87978,X_87979)),X_87978))),
inference(resolve,[$cnf( theorem(or(not(or(X_87978,not(X_87979))),or(not(or(X_87978,X_87979)),X_87978))) )],[refute_0_59,refute_0_3]) ).
cnf(refute_0_61,plain,
theorem(or(not(not(q)),or(not(or(p,q)),p))),
inference(subst,[],[refute_0_60:[bind(X_87978,$fot(p)),bind(X_87979,$fot(q))]]) ).
cnf(refute_0_62,plain,
$false,
inference(resolve,[$cnf( theorem(or(not(not(q)),or(not(or(p,q)),p))) )],[refute_0_61,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL211-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n018.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 : Sun Jul 3 17:53:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 40.03/40.22 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 40.03/40.22
% 40.03/40.22 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 40.03/40.22
%------------------------------------------------------------------------------