TSTP Solution File: LCL199-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL199-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.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 12:50:31 EDT 2022
% Result : Unsatisfiable 0.63s 0.81s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of clauses : 43 ( 23 unt; 0 nHn; 23 RR)
% Number of literals : 70 ( 0 equ; 28 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 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 : 74 ( 10 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(p,q))),not(p))) ).
cnf(refute_0_0,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_1,plain,
( ~ theorem(or(A,B))
| theorem(or(B,A)) ),
inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ theorem(or(not(X_2680),not(not(or(X_2680,X_2679)))))
| theorem(or(not(not(or(X_2680,X_2679))),not(X_2680))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(not(X_2680))),bind(B,$fot(not(not(or(X_2680,X_2679)))))]]) ).
cnf(refute_0_3,plain,
( ~ theorem(or(not(X_151),X_151))
| theorem(or(X_151,not(X_151))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(not(X_151))),bind(B,$fot(X_151))]]) ).
cnf(refute_0_4,plain,
axiom(or(not(or(X_23,X_23)),X_23)),
inference(subst,[],[axiom_1_2:[bind(A,$fot(X_23))]]) ).
cnf(refute_0_5,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_6,plain,
( ~ theorem(or(X_23,X_23))
| theorem(X_23) ),
inference(resolve,[$cnf( axiom(or(not(or(X_23,X_23)),X_23)) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ theorem(or(or(not(X_150),X_150),or(not(X_150),X_150)))
| theorem(or(not(X_150),X_150)) ),
inference(subst,[],[refute_0_6:[bind(X_23,$fot(or(not(X_150),X_150)))]]) ).
cnf(refute_0_8,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,$fot(or(not(X_3),or(X_4,X_3))))]]) ).
cnf(refute_0_9,plain,
axiom(or(not(X_3),or(X_4,X_3))),
inference(subst,[],[axiom_1_3:[bind(A,$fot(X_3)),bind(B,$fot(X_4))]]) ).
cnf(refute_0_10,plain,
theorem(or(not(X_3),or(X_4,X_3))),
inference(resolve,[$cnf( axiom(or(not(X_3),or(X_4,X_3))) )],[refute_0_9,refute_0_8]) ).
cnf(refute_0_11,plain,
theorem(or(not(X_148),or(X_147,X_148))),
inference(subst,[],[refute_0_10:[bind(X_3,$fot(X_148)),bind(X_4,$fot(X_147))]]) ).
cnf(refute_0_12,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_13,plain,
( ~ theorem(or(A,or(B,C)))
| theorem(or(B,or(A,C))) ),
inference(resolve,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ theorem(or(not(X_148),or(X_147,X_148)))
| theorem(or(X_147,or(not(X_148),X_148))) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(not(X_148))),bind(B,$fot(X_147)),bind(C,$fot(X_148))]]) ).
cnf(refute_0_15,plain,
theorem(or(X_147,or(not(X_148),X_148))),
inference(resolve,[$cnf( theorem(or(not(X_148),or(X_147,X_148))) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
theorem(or(or(not(X_150),X_150),or(not(X_150),X_150))),
inference(subst,[],[refute_0_15:[bind(X_147,$fot(or(not(X_150),X_150))),bind(X_148,$fot(X_150))]]) ).
cnf(refute_0_17,plain,
theorem(or(not(X_150),X_150)),
inference(resolve,[$cnf( theorem(or(or(not(X_150),X_150),or(not(X_150),X_150))) )],[refute_0_16,refute_0_7]) ).
cnf(refute_0_18,plain,
theorem(or(not(X_151),X_151)),
inference(subst,[],[refute_0_17:[bind(X_150,$fot(X_151))]]) ).
cnf(refute_0_19,plain,
theorem(or(X_151,not(X_151))),
inference(resolve,[$cnf( theorem(or(not(X_151),X_151)) )],[refute_0_18,refute_0_3]) ).
cnf(refute_0_20,plain,
theorem(or(not(X_493),not(not(X_493)))),
inference(subst,[],[refute_0_19:[bind(X_151,$fot(not(X_493)))]]) ).
cnf(refute_0_21,plain,
( ~ axiom(or(not(X_492),X_493))
| ~ theorem(or(not(X_493),not(not(X_493))))
| theorem(or(not(X_492),not(not(X_493)))) ),
inference(subst,[],[rule_3:[bind(X,$fot(X_492)),bind(Y,$fot(X_493)),bind(Z,$fot(not(not(X_493))))]]) ).
cnf(refute_0_22,plain,
( ~ axiom(or(not(X_492),X_493))
| theorem(or(not(X_492),not(not(X_493)))) ),
inference(resolve,[$cnf( theorem(or(not(X_493),not(not(X_493)))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ axiom(or(not(or(A,B)),or(B,A)))
| theorem(or(not(or(A,B)),not(not(or(B,A))))) ),
inference(subst,[],[refute_0_22:[bind(X_492,$fot(or(A,B))),bind(X_493,$fot(or(B,A)))]]) ).
cnf(refute_0_24,plain,
theorem(or(not(or(A,B)),not(not(or(B,A))))),
inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_23]) ).
cnf(refute_0_25,plain,
theorem(or(not(or(X_2672,X_2673)),not(not(or(X_2673,X_2672))))),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_2672)),bind(B,$fot(X_2673))]]) ).
cnf(refute_0_26,plain,
axiom(or(not(X_492),or(B,X_492))),
inference(subst,[],[axiom_1_3:[bind(A,$fot(X_492))]]) ).
cnf(refute_0_27,plain,
( ~ axiom(or(not(X_492),or(B,X_492)))
| ~ theorem(or(not(or(B,X_492)),X_494))
| theorem(or(not(X_492),X_494)) ),
inference(subst,[],[rule_3:[bind(X,$fot(X_492)),bind(Y,$fot(or(B,X_492))),bind(Z,$fot(X_494))]]) ).
cnf(refute_0_28,plain,
( ~ theorem(or(not(or(B,X_492)),X_494))
| theorem(or(not(X_492),X_494)) ),
inference(resolve,[$cnf( axiom(or(not(X_492),or(B,X_492))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ theorem(or(not(or(X_2672,X_2673)),not(not(or(X_2673,X_2672)))))
| theorem(or(not(X_2673),not(not(or(X_2673,X_2672))))) ),
inference(subst,[],[refute_0_28:[bind(B,$fot(X_2672)),bind(X_492,$fot(X_2673)),bind(X_494,$fot(not(not(or(X_2673,X_2672)))))]]) ).
cnf(refute_0_30,plain,
theorem(or(not(X_2673),not(not(or(X_2673,X_2672))))),
inference(resolve,[$cnf( theorem(or(not(or(X_2672,X_2673)),not(not(or(X_2673,X_2672))))) )],[refute_0_25,refute_0_29]) ).
cnf(refute_0_31,plain,
theorem(or(not(X_2680),not(not(or(X_2680,X_2679))))),
inference(subst,[],[refute_0_30:[bind(X_2672,$fot(X_2679)),bind(X_2673,$fot(X_2680))]]) ).
cnf(refute_0_32,plain,
theorem(or(not(not(or(X_2680,X_2679))),not(X_2680))),
inference(resolve,[$cnf( theorem(or(not(X_2680),not(not(or(X_2680,X_2679))))) )],[refute_0_31,refute_0_2]) ).
cnf(refute_0_33,plain,
theorem(or(not(not(or(p,q))),not(p))),
inference(subst,[],[refute_0_32:[bind(X_2679,$fot(q)),bind(X_2680,$fot(p))]]) ).
cnf(refute_0_34,plain,
$false,
inference(resolve,[$cnf( theorem(or(not(not(or(p,q))),not(p))) )],[refute_0_33,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL199-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 2 21:51:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.63/0.81 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.63/0.81
% 0.63/0.81 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.63/0.81
%------------------------------------------------------------------------------