TSTP Solution File: LCL206-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL206-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 12:50:35 EDT 2022
% Result : Unsatisfiable 0.13s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of clauses : 47 ( 26 unt; 0 nHn; 22 RR)
% Number of literals : 75 ( 0 equ; 29 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 : 85 ( 19 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(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(or(not(p),q))),or(not(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,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ theorem(or(X_342,or(not(not(or(X_343,X_344))),not(X_344))))
| theorem(or(not(not(or(X_343,X_344))),or(X_342,not(X_344)))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_342)),bind(B,$fot(not(not(or(X_343,X_344))))),bind(C,$fot(not(X_344)))]]) ).
cnf(refute_0_3,plain,
axiom(or(not(X_24),or(B,X_24))),
inference(subst,[],[axiom_1_3:[bind(A,$fot(X_24))]]) ).
cnf(refute_0_4,plain,
( ~ axiom(or(not(X_24),or(B,X_24)))
| ~ theorem(X_24)
| theorem(or(B,X_24)) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(B,X_24))),bind(Y,$fot(X_24))]]) ).
cnf(refute_0_5,plain,
( ~ theorem(X_24)
| theorem(or(B,X_24)) ),
inference(resolve,[$cnf( axiom(or(not(X_24),or(B,X_24))) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ theorem(or(not(not(or(X_304,X_305))),not(X_305)))
| theorem(or(B,or(not(not(or(X_304,X_305))),not(X_305)))) ),
inference(subst,[],[refute_0_5:[bind(X_24,$fot(or(not(not(or(X_304,X_305))),not(X_305))))]]) ).
cnf(refute_0_7,plain,
( ~ axiom(or(not(or(A,B)),or(B,A)))
| ~ theorem(or(A,B))
| theorem(or(B,A)) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(B,A))),bind(Y,$fot(or(A,B)))]]) ).
cnf(refute_0_8,plain,
( ~ theorem(or(A,B))
| theorem(or(B,A)) ),
inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ theorem(or(not(X_303),not(not(or(X_302,X_303)))))
| theorem(or(not(not(or(X_302,X_303))),not(X_303))) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(not(X_303))),bind(B,$fot(not(not(or(X_302,X_303)))))]]) ).
cnf(refute_0_10,plain,
axiom(or(not(X_300),or(B,X_300))),
inference(subst,[],[axiom_1_3:[bind(A,$fot(X_300))]]) ).
cnf(refute_0_11,plain,
( ~ theorem(or(not(X_107),X_107))
| theorem(or(X_107,not(X_107))) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(not(X_107))),bind(B,$fot(X_107))]]) ).
cnf(refute_0_12,plain,
axiom(or(not(or(X_23,X_23)),X_23)),
inference(subst,[],[axiom_1_2:[bind(A,$fot(X_23))]]) ).
cnf(refute_0_13,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_14,plain,
( ~ theorem(or(X_23,X_23))
| theorem(X_23) ),
inference(resolve,[$cnf( axiom(or(not(or(X_23,X_23)),X_23)) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ theorem(or(or(not(X_106),X_106),or(not(X_106),X_106)))
| theorem(or(not(X_106),X_106)) ),
inference(subst,[],[refute_0_14:[bind(X_23,$fot(or(not(X_106),X_106)))]]) ).
cnf(refute_0_16,plain,
( ~ axiom(or(not(X_3),or(X_4,X_3)))
| theorem(or(not(X_3),or(X_4,X_3))) ),
inference(subst,[],[rule_1:[bind(X,$fot(or(not(X_3),or(X_4,X_3))))]]) ).
cnf(refute_0_17,plain,
axiom(or(not(X_3),or(X_4,X_3))),
inference(subst,[],[axiom_1_3:[bind(A,$fot(X_3)),bind(B,$fot(X_4))]]) ).
cnf(refute_0_18,plain,
theorem(or(not(X_3),or(X_4,X_3))),
inference(resolve,[$cnf( axiom(or(not(X_3),or(X_4,X_3))) )],[refute_0_17,refute_0_16]) ).
cnf(refute_0_19,plain,
theorem(or(not(X_104),or(X_103,X_104))),
inference(subst,[],[refute_0_18:[bind(X_3,$fot(X_104)),bind(X_4,$fot(X_103))]]) ).
cnf(refute_0_20,plain,
( ~ theorem(or(not(X_104),or(X_103,X_104)))
| theorem(or(X_103,or(not(X_104),X_104))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(not(X_104))),bind(B,$fot(X_103)),bind(C,$fot(X_104))]]) ).
cnf(refute_0_21,plain,
theorem(or(X_103,or(not(X_104),X_104))),
inference(resolve,[$cnf( theorem(or(not(X_104),or(X_103,X_104))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
theorem(or(or(not(X_106),X_106),or(not(X_106),X_106))),
inference(subst,[],[refute_0_21:[bind(X_103,$fot(or(not(X_106),X_106))),bind(X_104,$fot(X_106))]]) ).
cnf(refute_0_23,plain,
theorem(or(not(X_106),X_106)),
inference(resolve,[$cnf( theorem(or(or(not(X_106),X_106),or(not(X_106),X_106))) )],[refute_0_22,refute_0_15]) ).
cnf(refute_0_24,plain,
theorem(or(not(X_107),X_107)),
inference(subst,[],[refute_0_23:[bind(X_106,$fot(X_107))]]) ).
cnf(refute_0_25,plain,
theorem(or(X_107,not(X_107))),
inference(resolve,[$cnf( theorem(or(not(X_107),X_107)) )],[refute_0_24,refute_0_11]) ).
cnf(refute_0_26,plain,
theorem(or(not(X_298),not(not(X_298)))),
inference(subst,[],[refute_0_25:[bind(X_107,$fot(not(X_298)))]]) ).
cnf(refute_0_27,plain,
( ~ axiom(or(not(X_297),X_298))
| ~ theorem(or(not(X_298),not(not(X_298))))
| theorem(or(not(X_297),not(not(X_298)))) ),
inference(subst,[],[rule_3:[bind(X,$fot(X_297)),bind(Y,$fot(X_298)),bind(Z,$fot(not(not(X_298))))]]) ).
cnf(refute_0_28,plain,
( ~ axiom(or(not(X_297),X_298))
| theorem(or(not(X_297),not(not(X_298)))) ),
inference(resolve,[$cnf( theorem(or(not(X_298),not(not(X_298)))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ axiom(or(not(X_300),or(B,X_300)))
| theorem(or(not(X_300),not(not(or(B,X_300))))) ),
inference(subst,[],[refute_0_28:[bind(X_297,$fot(X_300)),bind(X_298,$fot(or(B,X_300)))]]) ).
cnf(refute_0_30,plain,
theorem(or(not(X_300),not(not(or(B,X_300))))),
inference(resolve,[$cnf( axiom(or(not(X_300),or(B,X_300))) )],[refute_0_10,refute_0_29]) ).
cnf(refute_0_31,plain,
theorem(or(not(X_303),not(not(or(X_302,X_303))))),
inference(subst,[],[refute_0_30:[bind(B,$fot(X_302)),bind(X_300,$fot(X_303))]]) ).
cnf(refute_0_32,plain,
theorem(or(not(not(or(X_302,X_303))),not(X_303))),
inference(resolve,[$cnf( theorem(or(not(X_303),not(not(or(X_302,X_303))))) )],[refute_0_31,refute_0_9]) ).
cnf(refute_0_33,plain,
theorem(or(not(not(or(X_304,X_305))),not(X_305))),
inference(subst,[],[refute_0_32:[bind(X_302,$fot(X_304)),bind(X_303,$fot(X_305))]]) ).
cnf(refute_0_34,plain,
theorem(or(B,or(not(not(or(X_304,X_305))),not(X_305)))),
inference(resolve,[$cnf( theorem(or(not(not(or(X_304,X_305))),not(X_305))) )],[refute_0_33,refute_0_6]) ).
cnf(refute_0_35,plain,
theorem(or(X_342,or(not(not(or(X_343,X_344))),not(X_344)))),
inference(subst,[],[refute_0_34:[bind(B,$fot(X_342)),bind(X_304,$fot(X_343)),bind(X_305,$fot(X_344))]]) ).
cnf(refute_0_36,plain,
theorem(or(not(not(or(X_343,X_344))),or(X_342,not(X_344)))),
inference(resolve,[$cnf( theorem(or(X_342,or(not(not(or(X_343,X_344))),not(X_344)))) )],[refute_0_35,refute_0_2]) ).
cnf(refute_0_37,plain,
theorem(or(not(not(or(not(p),q))),or(not(not(p)),not(q)))),
inference(subst,[],[refute_0_36:[bind(X_342,$fot(not(not(p)))),bind(X_343,$fot(not(p))),bind(X_344,$fot(q))]]) ).
cnf(refute_0_38,plain,
$false,
inference(resolve,[$cnf( theorem(or(not(not(or(not(p),q))),or(not(not(p)),not(q)))) )],[refute_0_37,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL206-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n025.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 : Mon Jul 4 17:16:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.42
%------------------------------------------------------------------------------