TSTP Solution File: LCL215-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL215-1 : 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 12:50:42 EDT 2022
% Result : Unsatisfiable 2.59s 2.79s
% Output : CNFRefutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of clauses : 35 ( 18 unt; 0 nHn; 18 RR)
% Number of literals : 58 ( 0 equ; 24 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 : 70 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1_2,axiom,
axiom(or(not(or(A,A)),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(or(not(p),q)),or(not(or(p,q)),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,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ theorem(or(not(or(X_9270,X_9271)),or(not(or(not(X_9270),X_9271)),X_9271)))
| theorem(or(not(or(not(X_9270),X_9271)),or(not(or(X_9270,X_9271)),X_9271))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(not(or(X_9270,X_9271)))),bind(B,$fot(not(or(not(X_9270),X_9271)))),bind(C,$fot(X_9271))]]) ).
cnf(refute_0_3,plain,
( ~ axiom(or(not(or(A,B)),or(B,A)))
| ~ theorem(or(not(or(B,A)),X_644))
| theorem(or(not(or(A,B)),X_644)) ),
inference(subst,[],[rule_3:[bind(X,$fot(or(A,B))),bind(Y,$fot(or(B,A))),bind(Z,$fot(X_644))]]) ).
cnf(refute_0_4,plain,
( ~ theorem(or(not(or(B,A)),X_644))
| theorem(or(not(or(A,B)),X_644)) ),
inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ theorem(or(not(or(X_9269,X_9268)),or(not(or(not(X_9268),X_9269)),X_9269)))
| theorem(or(not(or(X_9268,X_9269)),or(not(or(not(X_9268),X_9269)),X_9269))) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_9268)),bind(B,$fot(X_9269)),bind(X_644,$fot(or(not(or(not(X_9268),X_9269)),X_9269)))]]) ).
cnf(refute_0_6,plain,
( ~ theorem(or(not(or(not(X_9254),X_9255)),or(not(or(X_9255,X_9254)),X_9255)))
| theorem(or(not(or(X_9255,X_9254)),or(not(or(not(X_9254),X_9255)),X_9255))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(not(or(not(X_9254),X_9255)))),bind(B,$fot(not(or(X_9255,X_9254)))),bind(C,$fot(X_9255))]]) ).
cnf(refute_0_7,plain,
axiom(or(not(or(not(A),X_9251)),or(not(or(X_9251,A)),or(X_9251,X_9251)))),
inference(subst,[],[axiom_1_6:[bind(B,$fot(X_9251)),bind(C,$fot(X_9251))]]) ).
cnf(refute_0_8,plain,
( ~ axiom(or(not(or(A,A)),A))
| theorem(or(not(or(A,A)),A)) ),
inference(subst,[],[rule_1:[bind(X,$fot(or(not(or(A,A)),A)))]]) ).
cnf(refute_0_9,plain,
theorem(or(not(or(A,A)),A)),
inference(resolve,[$cnf( axiom(or(not(or(A,A)),A)) )],[axiom_1_2,refute_0_8]) ).
cnf(refute_0_10,plain,
theorem(or(not(or(X_456,X_456)),X_456)),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_456))]]) ).
cnf(refute_0_11,plain,
( ~ axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B))))
| ~ theorem(or(not(A),B))
| theorem(or(not(or(C,A)),or(C,B))) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(not(or(C,A)),or(C,B)))),bind(Y,$fot(or(not(A),B)))]]) ).
cnf(refute_0_12,plain,
( ~ theorem(or(not(A),B))
| theorem(or(not(or(C,A)),or(C,B))) ),
inference(resolve,[$cnf( axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) )],[axiom_1_6,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ theorem(or(not(or(X_456,X_456)),X_456))
| theorem(or(not(or(X_457,or(X_456,X_456))),or(X_457,X_456))) ),
inference(subst,[],[refute_0_12:[bind(A,$fot(or(X_456,X_456))),bind(B,$fot(X_456)),bind(C,$fot(X_457))]]) ).
cnf(refute_0_14,plain,
theorem(or(not(or(X_457,or(X_456,X_456))),or(X_457,X_456))),
inference(resolve,[$cnf( theorem(or(not(or(X_456,X_456)),X_456)) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ axiom(or(not(X_642),or(X_457,or(X_456,X_456))))
| ~ theorem(or(not(or(X_457,or(X_456,X_456))),or(X_457,X_456)))
| theorem(or(not(X_642),or(X_457,X_456))) ),
inference(subst,[],[rule_3:[bind(X,$fot(X_642)),bind(Y,$fot(or(X_457,or(X_456,X_456)))),bind(Z,$fot(or(X_457,X_456)))]]) ).
cnf(refute_0_16,plain,
( ~ axiom(or(not(X_642),or(X_457,or(X_456,X_456))))
| theorem(or(not(X_642),or(X_457,X_456))) ),
inference(resolve,[$cnf( theorem(or(not(or(X_457,or(X_456,X_456))),or(X_457,X_456))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ axiom(or(not(or(not(A),X_9251)),or(not(or(X_9251,A)),or(X_9251,X_9251))))
| theorem(or(not(or(not(A),X_9251)),or(not(or(X_9251,A)),X_9251))) ),
inference(subst,[],[refute_0_16:[bind(X_456,$fot(X_9251)),bind(X_457,$fot(not(or(X_9251,A)))),bind(X_642,$fot(or(not(A),X_9251)))]]) ).
cnf(refute_0_18,plain,
theorem(or(not(or(not(A),X_9251)),or(not(or(X_9251,A)),X_9251))),
inference(resolve,[$cnf( axiom(or(not(or(not(A),X_9251)),or(not(or(X_9251,A)),or(X_9251,X_9251)))) )],[refute_0_7,refute_0_17]) ).
cnf(refute_0_19,plain,
theorem(or(not(or(not(X_9254),X_9255)),or(not(or(X_9255,X_9254)),X_9255))),
inference(subst,[],[refute_0_18:[bind(A,$fot(X_9254)),bind(X_9251,$fot(X_9255))]]) ).
cnf(refute_0_20,plain,
theorem(or(not(or(X_9255,X_9254)),or(not(or(not(X_9254),X_9255)),X_9255))),
inference(resolve,[$cnf( theorem(or(not(or(not(X_9254),X_9255)),or(not(or(X_9255,X_9254)),X_9255))) )],[refute_0_19,refute_0_6]) ).
cnf(refute_0_21,plain,
theorem(or(not(or(X_9269,X_9268)),or(not(or(not(X_9268),X_9269)),X_9269))),
inference(subst,[],[refute_0_20:[bind(X_9254,$fot(X_9268)),bind(X_9255,$fot(X_9269))]]) ).
cnf(refute_0_22,plain,
theorem(or(not(or(X_9268,X_9269)),or(not(or(not(X_9268),X_9269)),X_9269))),
inference(resolve,[$cnf( theorem(or(not(or(X_9269,X_9268)),or(not(or(not(X_9268),X_9269)),X_9269))) )],[refute_0_21,refute_0_5]) ).
cnf(refute_0_23,plain,
theorem(or(not(or(X_9270,X_9271)),or(not(or(not(X_9270),X_9271)),X_9271))),
inference(subst,[],[refute_0_22:[bind(X_9268,$fot(X_9270)),bind(X_9269,$fot(X_9271))]]) ).
cnf(refute_0_24,plain,
theorem(or(not(or(not(X_9270),X_9271)),or(not(or(X_9270,X_9271)),X_9271))),
inference(resolve,[$cnf( theorem(or(not(or(X_9270,X_9271)),or(not(or(not(X_9270),X_9271)),X_9271))) )],[refute_0_23,refute_0_2]) ).
cnf(refute_0_25,plain,
theorem(or(not(or(not(p),q)),or(not(or(p,q)),q))),
inference(subst,[],[refute_0_24:[bind(X_9270,$fot(p)),bind(X_9271,$fot(q))]]) ).
cnf(refute_0_26,plain,
$false,
inference(resolve,[$cnf( theorem(or(not(or(not(p),q)),or(not(or(p,q)),q))) )],[refute_0_25,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : LCL215-1 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.11 % Command : metis --show proof --show saturation %s
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Mon Jul 4 18:55:26 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.59/2.79 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.59/2.79
% 2.59/2.79 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.59/2.79
%------------------------------------------------------------------------------