TSTP Solution File: LCL234-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL234-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 12:50:57 EDT 2022
% Result : Unsatisfiable 48.51s 48.75s
% Output : CNFRefutation 48.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 9
% Syntax : Number of clauses : 61 ( 33 unt; 0 nHn; 26 RR)
% Number of literals : 98 ( 0 equ; 38 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 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 : 158 ( 32 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(p),or(not(q),not(or(not(p),not(q)))))) ).
cnf(refute_0_0,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_1,plain,
( ~ theorem(or(A,or(B,C)))
| theorem(or(B,or(A,C))) ),
inference(resolve,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ theorem(or(X_90576,or(X_90577,not(or(X_90577,X_90576)))))
| theorem(or(X_90577,or(X_90576,not(or(X_90577,X_90576))))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_90576)),bind(B,$fot(X_90577)),bind(C,$fot(not(or(X_90577,X_90576))))]]) ).
cnf(refute_0_3,plain,
axiom(or(not(or(X_23,X_23)),X_23)),
inference(subst,[],[axiom_1_2:[bind(A,$fot(X_23))]]) ).
cnf(refute_0_4,plain,
( ~ axiom(or(not(or(X_23,X_23)),X_23))
| ~ theorem(or(X_23,X_23))
| theorem(X_23) ),
inference(subst,[],[rule_2:[bind(X,$fot(X_23)),bind(Y,$fot(or(X_23,X_23)))]]) ).
cnf(refute_0_5,plain,
( ~ theorem(or(X_23,X_23))
| theorem(X_23) ),
inference(resolve,[$cnf( axiom(or(not(or(X_23,X_23)),X_23)) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ theorem(or(or(X_90571,or(X_90572,not(or(X_90572,X_90571)))),or(X_90571,or(X_90572,not(or(X_90572,X_90571))))))
| theorem(or(X_90571,or(X_90572,not(or(X_90572,X_90571))))) ),
inference(subst,[],[refute_0_5:[bind(X_23,$fot(or(X_90571,or(X_90572,not(or(X_90572,X_90571))))))]]) ).
cnf(refute_0_7,plain,
( ~ theorem(or(X_24587,or(or(X_24591,or(X_24590,X_24589)),or(X_24588,not(or(X_24590,X_24591))))))
| theorem(or(or(X_24591,or(X_24590,X_24589)),or(X_24587,or(X_24588,not(or(X_24590,X_24591)))))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_24587)),bind(B,$fot(or(X_24591,or(X_24590,X_24589)))),bind(C,$fot(or(X_24588,not(or(X_24590,X_24591)))))]]) ).
cnf(refute_0_8,plain,
axiom(or(not(X_24),or(B,X_24))),
inference(subst,[],[axiom_1_3:[bind(A,$fot(X_24))]]) ).
cnf(refute_0_9,plain,
( ~ axiom(or(not(X_24),or(B,X_24)))
| ~ theorem(X_24)
| theorem(or(B,X_24)) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(B,X_24))),bind(Y,$fot(X_24))]]) ).
cnf(refute_0_10,plain,
( ~ theorem(X_24)
| theorem(or(B,X_24)) ),
inference(resolve,[$cnf( axiom(or(not(X_24),or(B,X_24))) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ theorem(or(or(X_24586,or(X_24585,X_24584)),or(X_24583,not(or(X_24585,X_24586)))))
| theorem(or(B,or(or(X_24586,or(X_24585,X_24584)),or(X_24583,not(or(X_24585,X_24586)))))) ),
inference(subst,[],[refute_0_10:[bind(X_24,$fot(or(or(X_24586,or(X_24585,X_24584)),or(X_24583,not(or(X_24585,X_24586))))))]]) ).
cnf(refute_0_12,plain,
( ~ theorem(or(X_17772,or(or(X_17775,or(X_17774,X_17773)),not(or(X_17774,X_17775)))))
| theorem(or(or(X_17775,or(X_17774,X_17773)),or(X_17772,not(or(X_17774,X_17775))))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_17772)),bind(B,$fot(or(X_17775,or(X_17774,X_17773)))),bind(C,$fot(not(or(X_17774,X_17775))))]]) ).
cnf(refute_0_13,plain,
( ~ theorem(or(or(X_4555,or(X_4554,X_4553)),not(or(X_4554,X_4555))))
| theorem(or(B,or(or(X_4555,or(X_4554,X_4553)),not(or(X_4554,X_4555))))) ),
inference(subst,[],[refute_0_10:[bind(X_24,$fot(or(or(X_4555,or(X_4554,X_4553)),not(or(X_4554,X_4555)))))]]) ).
cnf(refute_0_14,plain,
( ~ axiom(or(not(or(A,B)),or(B,A)))
| ~ theorem(or(A,B))
| theorem(or(B,A)) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(B,A))),bind(Y,$fot(or(A,B)))]]) ).
cnf(refute_0_15,plain,
( ~ theorem(or(A,B))
| theorem(or(B,A)) ),
inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ theorem(or(not(or(X_4551,X_4552)),or(X_4552,or(X_4551,X_4550))))
| theorem(or(or(X_4552,or(X_4551,X_4550)),not(or(X_4551,X_4552)))) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(not(or(X_4551,X_4552)))),bind(B,$fot(or(X_4552,or(X_4551,X_4550))))]]) ).
cnf(refute_0_17,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_18,plain,
( ~ theorem(or(not(A),B))
| theorem(or(not(or(C,A)),or(C,B))) ),
inference(resolve,[$cnf( axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) )],[axiom_1_6,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ theorem(or(not(X_1875),or(X_1875,X_1874)))
| theorem(or(not(or(C,X_1875)),or(C,or(X_1875,X_1874)))) ),
inference(subst,[],[refute_0_18:[bind(A,$fot(X_1875)),bind(B,$fot(or(X_1875,X_1874)))]]) ).
cnf(refute_0_20,plain,
( ~ axiom(or(not(or(X_7,X_8)),or(X_8,X_7)))
| theorem(or(not(or(X_7,X_8)),or(X_8,X_7))) ),
inference(subst,[],[rule_1:[bind(X,$fot(or(not(or(X_7,X_8)),or(X_8,X_7))))]]) ).
cnf(refute_0_21,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_22,plain,
theorem(or(not(or(X_7,X_8)),or(X_8,X_7))),
inference(resolve,[$cnf( axiom(or(not(or(X_7,X_8)),or(X_8,X_7))) )],[refute_0_21,refute_0_20]) ).
cnf(refute_0_23,plain,
theorem(or(not(or(X_1871,X_1872)),or(X_1872,X_1871))),
inference(subst,[],[refute_0_22:[bind(X_7,$fot(X_1871)),bind(X_8,$fot(X_1872))]]) ).
cnf(refute_0_24,plain,
axiom(or(not(X_400),or(B,X_400))),
inference(subst,[],[axiom_1_3:[bind(A,$fot(X_400))]]) ).
cnf(refute_0_25,plain,
( ~ axiom(or(not(X_400),or(B,X_400)))
| ~ theorem(or(not(or(B,X_400)),X_402))
| theorem(or(not(X_400),X_402)) ),
inference(subst,[],[rule_3:[bind(X,$fot(X_400)),bind(Y,$fot(or(B,X_400))),bind(Z,$fot(X_402))]]) ).
cnf(refute_0_26,plain,
( ~ theorem(or(not(or(B,X_400)),X_402))
| theorem(or(not(X_400),X_402)) ),
inference(resolve,[$cnf( axiom(or(not(X_400),or(B,X_400))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ theorem(or(not(or(X_1871,X_1872)),or(X_1872,X_1871)))
| theorem(or(not(X_1872),or(X_1872,X_1871))) ),
inference(subst,[],[refute_0_26:[bind(B,$fot(X_1871)),bind(X_400,$fot(X_1872)),bind(X_402,$fot(or(X_1872,X_1871)))]]) ).
cnf(refute_0_28,plain,
theorem(or(not(X_1872),or(X_1872,X_1871))),
inference(resolve,[$cnf( theorem(or(not(or(X_1871,X_1872)),or(X_1872,X_1871))) )],[refute_0_23,refute_0_27]) ).
cnf(refute_0_29,plain,
theorem(or(not(X_1875),or(X_1875,X_1874))),
inference(subst,[],[refute_0_28:[bind(X_1871,$fot(X_1874)),bind(X_1872,$fot(X_1875))]]) ).
cnf(refute_0_30,plain,
theorem(or(not(or(C,X_1875)),or(C,or(X_1875,X_1874)))),
inference(resolve,[$cnf( theorem(or(not(X_1875),or(X_1875,X_1874))) )],[refute_0_29,refute_0_19]) ).
cnf(refute_0_31,plain,
theorem(or(not(or(X_4319,X_4318)),or(X_4319,or(X_4318,X_1874)))),
inference(subst,[],[refute_0_30:[bind(C,$fot(X_4319)),bind(X_1875,$fot(X_4318))]]) ).
cnf(refute_0_32,plain,
( ~ axiom(or(not(or(A,B)),or(B,A)))
| ~ theorem(or(not(or(B,A)),X_402))
| theorem(or(not(or(A,B)),X_402)) ),
inference(subst,[],[rule_3:[bind(X,$fot(or(A,B))),bind(Y,$fot(or(B,A))),bind(Z,$fot(X_402))]]) ).
cnf(refute_0_33,plain,
( ~ theorem(or(not(or(B,A)),X_402))
| theorem(or(not(or(A,B)),X_402)) ),
inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ theorem(or(not(or(X_4319,X_4318)),or(X_4319,or(X_4318,X_1874))))
| theorem(or(not(or(X_4318,X_4319)),or(X_4319,or(X_4318,X_1874)))) ),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_4318)),bind(B,$fot(X_4319)),bind(X_402,$fot(or(X_4319,or(X_4318,X_1874))))]]) ).
cnf(refute_0_35,plain,
theorem(or(not(or(X_4318,X_4319)),or(X_4319,or(X_4318,X_1874)))),
inference(resolve,[$cnf( theorem(or(not(or(X_4319,X_4318)),or(X_4319,or(X_4318,X_1874)))) )],[refute_0_31,refute_0_34]) ).
cnf(refute_0_36,plain,
theorem(or(not(or(X_4551,X_4552)),or(X_4552,or(X_4551,X_4550)))),
inference(subst,[],[refute_0_35:[bind(X_1874,$fot(X_4550)),bind(X_4318,$fot(X_4551)),bind(X_4319,$fot(X_4552))]]) ).
cnf(refute_0_37,plain,
theorem(or(or(X_4552,or(X_4551,X_4550)),not(or(X_4551,X_4552)))),
inference(resolve,[$cnf( theorem(or(not(or(X_4551,X_4552)),or(X_4552,or(X_4551,X_4550)))) )],[refute_0_36,refute_0_16]) ).
cnf(refute_0_38,plain,
theorem(or(or(X_4555,or(X_4554,X_4553)),not(or(X_4554,X_4555)))),
inference(subst,[],[refute_0_37:[bind(X_4550,$fot(X_4553)),bind(X_4551,$fot(X_4554)),bind(X_4552,$fot(X_4555))]]) ).
cnf(refute_0_39,plain,
theorem(or(B,or(or(X_4555,or(X_4554,X_4553)),not(or(X_4554,X_4555))))),
inference(resolve,[$cnf( theorem(or(or(X_4555,or(X_4554,X_4553)),not(or(X_4554,X_4555)))) )],[refute_0_38,refute_0_13]) ).
cnf(refute_0_40,plain,
theorem(or(X_17772,or(or(X_17775,or(X_17774,X_17773)),not(or(X_17774,X_17775))))),
inference(subst,[],[refute_0_39:[bind(B,$fot(X_17772)),bind(X_4553,$fot(X_17773)),bind(X_4554,$fot(X_17774)),bind(X_4555,$fot(X_17775))]]) ).
cnf(refute_0_41,plain,
theorem(or(or(X_17775,or(X_17774,X_17773)),or(X_17772,not(or(X_17774,X_17775))))),
inference(resolve,[$cnf( theorem(or(X_17772,or(or(X_17775,or(X_17774,X_17773)),not(or(X_17774,X_17775))))) )],[refute_0_40,refute_0_12]) ).
cnf(refute_0_42,plain,
theorem(or(or(X_24586,or(X_24585,X_24584)),or(X_24583,not(or(X_24585,X_24586))))),
inference(subst,[],[refute_0_41:[bind(X_17772,$fot(X_24583)),bind(X_17773,$fot(X_24584)),bind(X_17774,$fot(X_24585)),bind(X_17775,$fot(X_24586))]]) ).
cnf(refute_0_43,plain,
theorem(or(B,or(or(X_24586,or(X_24585,X_24584)),or(X_24583,not(or(X_24585,X_24586)))))),
inference(resolve,[$cnf( theorem(or(or(X_24586,or(X_24585,X_24584)),or(X_24583,not(or(X_24585,X_24586))))) )],[refute_0_42,refute_0_11]) ).
cnf(refute_0_44,plain,
theorem(or(X_24587,or(or(X_24591,or(X_24590,X_24589)),or(X_24588,not(or(X_24590,X_24591)))))),
inference(subst,[],[refute_0_43:[bind(B,$fot(X_24587)),bind(X_24583,$fot(X_24588)),bind(X_24584,$fot(X_24589)),bind(X_24585,$fot(X_24590)),bind(X_24586,$fot(X_24591))]]) ).
cnf(refute_0_45,plain,
theorem(or(or(X_24591,or(X_24590,X_24589)),or(X_24587,or(X_24588,not(or(X_24590,X_24591)))))),
inference(resolve,[$cnf( theorem(or(X_24587,or(or(X_24591,or(X_24590,X_24589)),or(X_24588,not(or(X_24590,X_24591)))))) )],[refute_0_44,refute_0_7]) ).
cnf(refute_0_46,plain,
theorem(or(or(X_90571,or(X_90572,not(or(X_90572,X_90571)))),or(X_90571,or(X_90572,not(or(X_90572,X_90571)))))),
inference(subst,[],[refute_0_45:[bind(X_24587,$fot(X_90571)),bind(X_24588,$fot(X_90572)),bind(X_24589,$fot(not(or(X_90572,X_90571)))),bind(X_24590,$fot(X_90572)),bind(X_24591,$fot(X_90571))]]) ).
cnf(refute_0_47,plain,
theorem(or(X_90571,or(X_90572,not(or(X_90572,X_90571))))),
inference(resolve,[$cnf( theorem(or(or(X_90571,or(X_90572,not(or(X_90572,X_90571)))),or(X_90571,or(X_90572,not(or(X_90572,X_90571)))))) )],[refute_0_46,refute_0_6]) ).
cnf(refute_0_48,plain,
theorem(or(X_90576,or(X_90577,not(or(X_90577,X_90576))))),
inference(subst,[],[refute_0_47:[bind(X_90571,$fot(X_90576)),bind(X_90572,$fot(X_90577))]]) ).
cnf(refute_0_49,plain,
theorem(or(X_90577,or(X_90576,not(or(X_90577,X_90576))))),
inference(resolve,[$cnf( theorem(or(X_90576,or(X_90577,not(or(X_90577,X_90576))))) )],[refute_0_48,refute_0_2]) ).
cnf(refute_0_50,plain,
theorem(or(not(p),or(not(q),not(or(not(p),not(q)))))),
inference(subst,[],[refute_0_49:[bind(X_90576,$fot(not(q))),bind(X_90577,$fot(not(p)))]]) ).
cnf(refute_0_51,plain,
$false,
inference(resolve,[$cnf( theorem(or(not(p),or(not(q),not(or(not(p),not(q)))))) )],[refute_0_50,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL234-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 4 04:32:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 48.51/48.75 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 48.51/48.75
% 48.51/48.75 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 48.51/48.76
%------------------------------------------------------------------------------