TSTP Solution File: LCL397-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL397-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n004.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 12:51:57 EDT 2022
% Result : Unsatisfiable 0.39s 0.62s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of clauses : 43 ( 24 unt; 0 nHn; 13 RR)
% Number of literals : 68 ( 0 equ; 26 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 103 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ) ).
cnf(cn_1,axiom,
is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ).
cnf(cn_2,axiom,
is_a_theorem(implies(implies(not(X),X),X)) ).
cnf(cn_3,axiom,
is_a_theorem(implies(X,implies(not(X),Y))) ).
cnf(prove_cn_63,negated_conjecture,
~ is_a_theorem(implies(x,implies(y,y))) ).
cnf(refute_0_0,plain,
is_a_theorem(implies(X_23,implies(not(X_23),Y))),
inference(subst,[],[cn_3:[bind(X,$fot(X_23))]]) ).
cnf(refute_0_1,plain,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))
| is_a_theorem(implies(implies(Y,Z),implies(X,Z))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X,Y))),bind(Y,$fot(implies(implies(Y,Z),implies(X,Z))))]]) ).
cnf(refute_0_2,plain,
( ~ is_a_theorem(implies(X,Y))
| is_a_theorem(implies(implies(Y,Z),implies(X,Z))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )],[cn_1,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(implies(X_23,implies(not(X_23),Y)))
| is_a_theorem(implies(implies(implies(not(X_23),Y),X_25),implies(X_23,X_25))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_23)),bind(Y,$fot(implies(not(X_23),Y))),bind(Z,$fot(X_25))]]) ).
cnf(refute_0_4,plain,
is_a_theorem(implies(implies(implies(not(X_23),Y),X_25),implies(X_23,X_25))),
inference(resolve,[$cnf( is_a_theorem(implies(X_23,implies(not(X_23),Y))) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ is_a_theorem(implies(X_26,X_27))
| ~ is_a_theorem(implies(implies(X_26,X_27),implies(implies(not(X_26),X_26),X_27)))
| is_a_theorem(implies(implies(not(X_26),X_26),X_27)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X_26,X_27))),bind(Y,$fot(implies(implies(not(X_26),X_26),X_27)))]]) ).
cnf(refute_0_6,plain,
is_a_theorem(implies(implies(not(X_24),X_24),X_24)),
inference(subst,[],[cn_2:[bind(X,$fot(X_24))]]) ).
cnf(refute_0_7,plain,
( ~ is_a_theorem(implies(implies(not(X_24),X_24),X_24))
| is_a_theorem(implies(implies(X_24,X_25),implies(implies(not(X_24),X_24),X_25))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(implies(not(X_24),X_24))),bind(Y,$fot(X_24)),bind(Z,$fot(X_25))]]) ).
cnf(refute_0_8,plain,
is_a_theorem(implies(implies(X_24,X_25),implies(implies(not(X_24),X_24),X_25))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_24),X_24),X_24)) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
is_a_theorem(implies(implies(X_26,X_27),implies(implies(not(X_26),X_26),X_27))),
inference(subst,[],[refute_0_8:[bind(X_24,$fot(X_26)),bind(X_25,$fot(X_27))]]) ).
cnf(refute_0_10,plain,
( ~ is_a_theorem(implies(X_26,X_27))
| is_a_theorem(implies(implies(not(X_26),X_26),X_27)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X_26,X_27),implies(implies(not(X_26),X_26),X_27))) )],[refute_0_9,refute_0_5]) ).
cnf(refute_0_11,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_23),Y),X_25),implies(X_23,X_25)))
| is_a_theorem(implies(implies(not(implies(implies(not(X_23),Y),X_25)),implies(implies(not(X_23),Y),X_25)),implies(X_23,X_25))) ),
inference(subst,[],[refute_0_10:[bind(X_26,$fot(implies(implies(not(X_23),Y),X_25))),bind(X_27,$fot(implies(X_23,X_25)))]]) ).
cnf(refute_0_12,plain,
is_a_theorem(implies(implies(not(implies(implies(not(X_23),Y),X_25)),implies(implies(not(X_23),Y),X_25)),implies(X_23,X_25))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_23),Y),X_25),implies(X_23,X_25))) )],[refute_0_4,refute_0_11]) ).
cnf(refute_0_13,plain,
is_a_theorem(implies(implies(not(implies(implies(not(X_787),X_787),X_787)),implies(implies(not(X_787),X_787),X_787)),implies(X_787,X_787))),
inference(subst,[],[refute_0_12:[bind(Y,$fot(X_787)),bind(X_23,$fot(X_787)),bind(X_25,$fot(X_787))]]) ).
cnf(refute_0_14,plain,
( ~ is_a_theorem(implies(implies(implies(not(implies(implies(not(X_171),X_171),X_171)),X_172),X_170),implies(X_173,X_170)))
| ~ is_a_theorem(implies(implies(not(implies(implies(not(X_171),X_171),X_171)),X_172),X_170))
| is_a_theorem(implies(X_173,X_170)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(not(implies(implies(not(X_171),X_171),X_171)),X_172),X_170))),bind(Y,$fot(implies(X_173,X_170)))]]) ).
cnf(refute_0_15,plain,
( ~ is_a_theorem(implies(X_165,implies(not(implies(implies(not(X_163),X_163),X_163)),X_164)))
| is_a_theorem(implies(implies(implies(not(implies(implies(not(X_163),X_163),X_163)),X_164),Z),implies(X_165,Z))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_165)),bind(Y,$fot(implies(not(implies(implies(not(X_163),X_163),X_163)),X_164)))]]) ).
cnf(refute_0_16,plain,
is_a_theorem(implies(X_6,implies(not(X_6),Y))),
inference(subst,[],[cn_3:[bind(X,$fot(X_6))]]) ).
cnf(refute_0_17,plain,
( ~ is_a_theorem(X_6)
| ~ is_a_theorem(implies(X_6,implies(not(X_6),Y)))
| is_a_theorem(implies(not(X_6),Y)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(X_6)),bind(Y,$fot(implies(not(X_6),Y)))]]) ).
cnf(refute_0_18,plain,
( ~ is_a_theorem(X_6)
| is_a_theorem(implies(not(X_6),Y)) ),
inference(resolve,[$cnf( is_a_theorem(implies(X_6,implies(not(X_6),Y))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ is_a_theorem(implies(implies(not(X),X),X))
| is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_9)) ),
inference(subst,[],[refute_0_18:[bind(Y,$fot(X_9)),bind(X_6,$fot(implies(implies(not(X),X),X)))]]) ).
cnf(refute_0_20,plain,
is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_9)),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X),X),X)) )],[cn_2,refute_0_19]) ).
cnf(refute_0_21,plain,
is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_24)),
inference(subst,[],[refute_0_20:[bind(X_9,$fot(X_24))]]) ).
cnf(refute_0_22,plain,
( ~ is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_24))
| is_a_theorem(implies(implies(X_24,X_25),implies(not(implies(implies(not(X),X),X)),X_25))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(not(implies(implies(not(X),X),X)))),bind(Y,$fot(X_24)),bind(Z,$fot(X_25))]]) ).
cnf(refute_0_23,plain,
is_a_theorem(implies(implies(X_24,X_25),implies(not(implies(implies(not(X),X),X)),X_25))),
inference(resolve,[$cnf( is_a_theorem(implies(not(implies(implies(not(X),X),X)),X_24)) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
is_a_theorem(implies(implies(not(X_138),X_137),implies(not(implies(implies(not(X),X),X)),X_137))),
inference(subst,[],[refute_0_23:[bind(X_24,$fot(not(X_138))),bind(X_25,$fot(X_137))]]) ).
cnf(refute_0_25,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_29),X_28),X_30),implies(X_29,X_30)))
| ~ is_a_theorem(implies(implies(not(X_29),X_28),X_30))
| is_a_theorem(implies(X_29,X_30)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(not(X_29),X_28),X_30))),bind(Y,$fot(implies(X_29,X_30)))]]) ).
cnf(refute_0_26,plain,
is_a_theorem(implies(implies(implies(not(X_29),X_28),X_30),implies(X_29,X_30))),
inference(subst,[],[refute_0_4:[bind(Y,$fot(X_28)),bind(X_23,$fot(X_29)),bind(X_25,$fot(X_30))]]) ).
cnf(refute_0_27,plain,
( ~ is_a_theorem(implies(implies(not(X_29),X_28),X_30))
| is_a_theorem(implies(X_29,X_30)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_29),X_28),X_30),implies(X_29,X_30))) )],[refute_0_26,refute_0_25]) ).
cnf(refute_0_28,plain,
( ~ is_a_theorem(implies(implies(not(X_138),X_137),implies(not(implies(implies(not(X),X),X)),X_137)))
| is_a_theorem(implies(X_138,implies(not(implies(implies(not(X),X),X)),X_137))) ),
inference(subst,[],[refute_0_27:[bind(X_28,$fot(X_137)),bind(X_29,$fot(X_138)),bind(X_30,$fot(implies(not(implies(implies(not(X),X),X)),X_137)))]]) ).
cnf(refute_0_29,plain,
is_a_theorem(implies(X_138,implies(not(implies(implies(not(X),X),X)),X_137))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_138),X_137),implies(not(implies(implies(not(X),X),X)),X_137))) )],[refute_0_24,refute_0_28]) ).
cnf(refute_0_30,plain,
is_a_theorem(implies(X_165,implies(not(implies(implies(not(X_163),X_163),X_163)),X_164))),
inference(subst,[],[refute_0_29:[bind(X,$fot(X_163)),bind(X_137,$fot(X_164)),bind(X_138,$fot(X_165))]]) ).
cnf(refute_0_31,plain,
is_a_theorem(implies(implies(implies(not(implies(implies(not(X_163),X_163),X_163)),X_164),Z),implies(X_165,Z))),
inference(resolve,[$cnf( is_a_theorem(implies(X_165,implies(not(implies(implies(not(X_163),X_163),X_163)),X_164))) )],[refute_0_30,refute_0_15]) ).
cnf(refute_0_32,plain,
is_a_theorem(implies(implies(implies(not(implies(implies(not(X_171),X_171),X_171)),X_172),X_170),implies(X_173,X_170))),
inference(subst,[],[refute_0_31:[bind(Z,$fot(X_170)),bind(X_163,$fot(X_171)),bind(X_164,$fot(X_172)),bind(X_165,$fot(X_173))]]) ).
cnf(refute_0_33,plain,
( ~ is_a_theorem(implies(implies(not(implies(implies(not(X_171),X_171),X_171)),X_172),X_170))
| is_a_theorem(implies(X_173,X_170)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(implies(implies(not(X_171),X_171),X_171)),X_172),X_170),implies(X_173,X_170))) )],[refute_0_32,refute_0_14]) ).
cnf(refute_0_34,plain,
( ~ is_a_theorem(implies(implies(not(implies(implies(not(X_787),X_787),X_787)),implies(implies(not(X_787),X_787),X_787)),implies(X_787,X_787)))
| is_a_theorem(implies(X_789,implies(X_787,X_787))) ),
inference(subst,[],[refute_0_33:[bind(X_170,$fot(implies(X_787,X_787))),bind(X_171,$fot(X_787)),bind(X_172,$fot(implies(implies(not(X_787),X_787),X_787))),bind(X_173,$fot(X_789))]]) ).
cnf(refute_0_35,plain,
is_a_theorem(implies(X_789,implies(X_787,X_787))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(implies(implies(not(X_787),X_787),X_787)),implies(implies(not(X_787),X_787),X_787)),implies(X_787,X_787))) )],[refute_0_13,refute_0_34]) ).
cnf(refute_0_36,plain,
is_a_theorem(implies(x,implies(y,y))),
inference(subst,[],[refute_0_35:[bind(X_787,$fot(y)),bind(X_789,$fot(x))]]) ).
cnf(refute_0_37,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(implies(x,implies(y,y))) )],[refute_0_36,prove_cn_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL397-1 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n004.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 4 01:43:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.39/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.62
% 0.39/0.62 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.47/0.63
%------------------------------------------------------------------------------