TSTP Solution File: LCL208-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL208-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 12:50:37 EDT 2022
% Result : Unsatisfiable 0.91s 1.10s
% Output : CNFRefutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of clauses : 42 ( 22 unt; 0 nHn; 21 RR)
% Number of literals : 69 ( 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 : 86 ( 3 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(or(p,q)),or(not(not(p)),q))) ).
cnf(refute_0_0,plain,
( ~ axiom(or(not(or(A,B)),or(B,A)))
| ~ theorem(or(not(or(B,A)),X_619))
| theorem(or(not(or(A,B)),X_619)) ),
inference(subst,[],[rule_3:[bind(X,$fot(or(A,B))),bind(Y,$fot(or(B,A))),bind(Z,$fot(X_619))]]) ).
cnf(refute_0_1,plain,
( ~ theorem(or(not(or(B,A)),X_619))
| theorem(or(not(or(A,B)),X_619)) ),
inference(resolve,[$cnf( axiom(or(not(or(A,B)),or(B,A))) )],[axiom_1_4,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ theorem(or(not(or(X_3822,X_3821)),or(not(not(X_3821)),X_3822)))
| theorem(or(not(or(X_3821,X_3822)),or(not(not(X_3821)),X_3822))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_3821)),bind(B,$fot(X_3822)),bind(X_619,$fot(or(not(not(X_3821)),X_3822)))]]) ).
cnf(refute_0_3,plain,
( ~ axiom(or(not(or(A,or(B,C))),or(B,or(A,C))))
| ~ theorem(or(A,or(B,C)))
| theorem(or(B,or(A,C))) ),
inference(subst,[],[rule_2:[bind(X,$fot(or(B,or(A,C)))),bind(Y,$fot(or(A,or(B,C))))]]) ).
cnf(refute_0_4,plain,
( ~ theorem(or(A,or(B,C)))
| theorem(or(B,or(A,C))) ),
inference(resolve,[$cnf( axiom(or(not(or(A,or(B,C))),or(B,or(A,C)))) )],[axiom_1_5,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ theorem(or(not(not(X_3734)),or(not(or(X_3735,X_3734)),X_3735)))
| theorem(or(not(or(X_3735,X_3734)),or(not(not(X_3734)),X_3735))) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(not(not(X_3734)))),bind(B,$fot(not(or(X_3735,X_3734)))),bind(C,$fot(X_3735))]]) ).
cnf(refute_0_6,plain,
axiom(or(not(X_617),or(B,X_617))),
inference(subst,[],[axiom_1_3:[bind(A,$fot(X_617))]]) ).
cnf(refute_0_7,plain,
( ~ axiom(or(not(X_617),or(B,X_617)))
| ~ theorem(or(not(or(B,X_617)),X_619))
| theorem(or(not(X_617),X_619)) ),
inference(subst,[],[rule_3:[bind(X,$fot(X_617)),bind(Y,$fot(or(B,X_617))),bind(Z,$fot(X_619))]]) ).
cnf(refute_0_8,plain,
( ~ theorem(or(not(or(B,X_617)),X_619))
| theorem(or(not(X_617),X_619)) ),
inference(resolve,[$cnf( axiom(or(not(X_617),or(B,X_617))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ theorem(or(not(or(X_3656,not(X_3655))),or(not(or(X_3656,X_3655)),X_3656)))
| theorem(or(not(not(X_3655)),or(not(or(X_3656,X_3655)),X_3656))) ),
inference(subst,[],[refute_0_8:[bind(B,$fot(X_3656)),bind(X_617,$fot(not(X_3655))),bind(X_619,$fot(or(not(or(X_3656,X_3655)),X_3656)))]]) ).
cnf(refute_0_10,plain,
axiom(or(not(or(not(A),X_3042)),or(not(or(X_3042,A)),or(X_3042,X_3042)))),
inference(subst,[],[axiom_1_6:[bind(B,$fot(X_3042)),bind(C,$fot(X_3042))]]) ).
cnf(refute_0_11,plain,
( ~ axiom(or(not(or(A,A)),A))
| theorem(or(not(or(A,A)),A)) ),
inference(subst,[],[rule_1:[bind(X,$fot(or(not(or(A,A)),A)))]]) ).
cnf(refute_0_12,plain,
theorem(or(not(or(A,A)),A)),
inference(resolve,[$cnf( axiom(or(not(or(A,A)),A)) )],[axiom_1_2,refute_0_11]) ).
cnf(refute_0_13,plain,
theorem(or(not(or(X_457,X_457)),X_457)),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_457))]]) ).
cnf(refute_0_14,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_15,plain,
( ~ theorem(or(not(A),B))
| theorem(or(not(or(C,A)),or(C,B))) ),
inference(resolve,[$cnf( axiom(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))) )],[axiom_1_6,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ theorem(or(not(or(X_457,X_457)),X_457))
| theorem(or(not(or(X_458,or(X_457,X_457))),or(X_458,X_457))) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(or(X_457,X_457))),bind(B,$fot(X_457)),bind(C,$fot(X_458))]]) ).
cnf(refute_0_17,plain,
theorem(or(not(or(X_458,or(X_457,X_457))),or(X_458,X_457))),
inference(resolve,[$cnf( theorem(or(not(or(X_457,X_457)),X_457)) )],[refute_0_13,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ axiom(or(not(X_617),or(X_458,or(X_457,X_457))))
| ~ theorem(or(not(or(X_458,or(X_457,X_457))),or(X_458,X_457)))
| theorem(or(not(X_617),or(X_458,X_457))) ),
inference(subst,[],[rule_3:[bind(X,$fot(X_617)),bind(Y,$fot(or(X_458,or(X_457,X_457)))),bind(Z,$fot(or(X_458,X_457)))]]) ).
cnf(refute_0_19,plain,
( ~ axiom(or(not(X_617),or(X_458,or(X_457,X_457))))
| theorem(or(not(X_617),or(X_458,X_457))) ),
inference(resolve,[$cnf( theorem(or(not(or(X_458,or(X_457,X_457))),or(X_458,X_457))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ axiom(or(not(or(not(A),X_3042)),or(not(or(X_3042,A)),or(X_3042,X_3042))))
| theorem(or(not(or(not(A),X_3042)),or(not(or(X_3042,A)),X_3042))) ),
inference(subst,[],[refute_0_19:[bind(X_457,$fot(X_3042)),bind(X_458,$fot(not(or(X_3042,A)))),bind(X_617,$fot(or(not(A),X_3042)))]]) ).
cnf(refute_0_21,plain,
theorem(or(not(or(not(A),X_3042)),or(not(or(X_3042,A)),X_3042))),
inference(resolve,[$cnf( axiom(or(not(or(not(A),X_3042)),or(not(or(X_3042,A)),or(X_3042,X_3042)))) )],[refute_0_10,refute_0_20]) ).
cnf(refute_0_22,plain,
theorem(or(not(or(not(A),X_3628)),or(not(or(X_3628,A)),X_3628))),
inference(subst,[],[refute_0_21:[bind(X_3042,$fot(X_3628))]]) ).
cnf(refute_0_23,plain,
( ~ theorem(or(not(or(not(A),X_3628)),or(not(or(X_3628,A)),X_3628)))
| theorem(or(not(or(X_3628,not(A))),or(not(or(X_3628,A)),X_3628))) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_3628)),bind(B,$fot(not(A))),bind(X_619,$fot(or(not(or(X_3628,A)),X_3628)))]]) ).
cnf(refute_0_24,plain,
theorem(or(not(or(X_3628,not(A))),or(not(or(X_3628,A)),X_3628))),
inference(resolve,[$cnf( theorem(or(not(or(not(A),X_3628)),or(not(or(X_3628,A)),X_3628))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
theorem(or(not(or(X_3656,not(X_3655))),or(not(or(X_3656,X_3655)),X_3656))),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_3655)),bind(X_3628,$fot(X_3656))]]) ).
cnf(refute_0_26,plain,
theorem(or(not(not(X_3655)),or(not(or(X_3656,X_3655)),X_3656))),
inference(resolve,[$cnf( theorem(or(not(or(X_3656,not(X_3655))),or(not(or(X_3656,X_3655)),X_3656))) )],[refute_0_25,refute_0_9]) ).
cnf(refute_0_27,plain,
theorem(or(not(not(X_3734)),or(not(or(X_3735,X_3734)),X_3735))),
inference(subst,[],[refute_0_26:[bind(X_3655,$fot(X_3734)),bind(X_3656,$fot(X_3735))]]) ).
cnf(refute_0_28,plain,
theorem(or(not(or(X_3735,X_3734)),or(not(not(X_3734)),X_3735))),
inference(resolve,[$cnf( theorem(or(not(not(X_3734)),or(not(or(X_3735,X_3734)),X_3735))) )],[refute_0_27,refute_0_5]) ).
cnf(refute_0_29,plain,
theorem(or(not(or(X_3822,X_3821)),or(not(not(X_3821)),X_3822))),
inference(subst,[],[refute_0_28:[bind(X_3734,$fot(X_3821)),bind(X_3735,$fot(X_3822))]]) ).
cnf(refute_0_30,plain,
theorem(or(not(or(X_3821,X_3822)),or(not(not(X_3821)),X_3822))),
inference(resolve,[$cnf( theorem(or(not(or(X_3822,X_3821)),or(not(not(X_3821)),X_3822))) )],[refute_0_29,refute_0_2]) ).
cnf(refute_0_31,plain,
theorem(or(not(or(p,q)),or(not(not(p)),q))),
inference(subst,[],[refute_0_30:[bind(X_3821,$fot(p)),bind(X_3822,$fot(q))]]) ).
cnf(refute_0_32,plain,
$false,
inference(resolve,[$cnf( theorem(or(not(or(p,q)),or(not(not(p)),q))) )],[refute_0_31,prove_this]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL208-1 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n027.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 : Sat Jul 2 14:44:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.91/1.10 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.10
% 0.91/1.10 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.91/1.10
%------------------------------------------------------------------------------