TSTP Solution File: LCL361-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL361-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 12:51:44 EDT 2022
% Result : Unsatisfiable 1.12s 1.30s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of clauses : 25 ( 14 unt; 0 nHn; 11 RR)
% Number of literals : 40 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 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 : 74 ( 6 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_3,axiom,
is_a_theorem(implies(X,implies(not(X),Y))) ).
cnf(prove_cn_10,negated_conjecture,
~ is_a_theorem(implies(x,implies(implies(implies(not(x),x),x),implies(implies(y,x),x)))) ).
cnf(refute_0_0,plain,
( ~ is_a_theorem(implies(implies(implies(not(X_26),X_25),X_27),implies(X_26,X_27)))
| ~ is_a_theorem(implies(implies(not(X_26),X_25),X_27))
| is_a_theorem(implies(X_26,X_27)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(not(X_26),X_25),X_27))),bind(Y,$fot(implies(X_26,X_27)))]]) ).
cnf(refute_0_1,plain,
is_a_theorem(implies(X_20,implies(not(X_20),Y))),
inference(subst,[],[cn_3:[bind(X,$fot(X_20))]]) ).
cnf(refute_0_2,plain,
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))
| is_a_theorem(implies(implies(Y,Z),implies(X,Z))) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(X,Y))),bind(Y,$fot(implies(implies(Y,Z),implies(X,Z))))]]) ).
cnf(refute_0_3,plain,
( ~ is_a_theorem(implies(X,Y))
| is_a_theorem(implies(implies(Y,Z),implies(X,Z))) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )],[cn_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ is_a_theorem(implies(X_20,implies(not(X_20),Y)))
| is_a_theorem(implies(implies(implies(not(X_20),Y),X_22),implies(X_20,X_22))) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(X_20)),bind(Y,$fot(implies(not(X_20),Y))),bind(Z,$fot(X_22))]]) ).
cnf(refute_0_5,plain,
is_a_theorem(implies(implies(implies(not(X_20),Y),X_22),implies(X_20,X_22))),
inference(resolve,[$cnf( is_a_theorem(implies(X_20,implies(not(X_20),Y))) )],[refute_0_1,refute_0_4]) ).
cnf(refute_0_6,plain,
is_a_theorem(implies(implies(implies(not(X_26),X_25),X_27),implies(X_26,X_27))),
inference(subst,[],[refute_0_5:[bind(Y,$fot(X_25)),bind(X_20,$fot(X_26)),bind(X_22,$fot(X_27))]]) ).
cnf(refute_0_7,plain,
( ~ is_a_theorem(implies(implies(not(X_26),X_25),X_27))
| is_a_theorem(implies(X_26,X_27)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(not(X_26),X_25),X_27),implies(X_26,X_27))) )],[refute_0_6,refute_0_0]) ).
cnf(refute_0_8,plain,
( ~ is_a_theorem(implies(implies(not(X_26),X_1969),implies(implies(implies(not(X_26),X_1970),X_1967),implies(implies(X_1969,X_1970),X_1967))))
| is_a_theorem(implies(X_26,implies(implies(implies(not(X_26),X_1970),X_1967),implies(implies(X_1969,X_1970),X_1967)))) ),
inference(subst,[],[refute_0_7:[bind(X_25,$fot(X_1969)),bind(X_27,$fot(implies(implies(implies(not(X_26),X_1970),X_1967),implies(implies(X_1969,X_1970),X_1967))))]]) ).
cnf(refute_0_9,plain,
is_a_theorem(implies(implies(implies(X_1924,X_1925),implies(X_1923,X_1925)),implies(implies(implies(X_1923,X_1925),Z),implies(implies(X_1924,X_1925),Z)))),
inference(subst,[],[cn_1:[bind(X,$fot(implies(X_1924,X_1925))),bind(Y,$fot(implies(X_1923,X_1925)))]]) ).
cnf(refute_0_10,plain,
( ~ is_a_theorem(implies(implies(implies(X_73,X_74),implies(X_72,X_74)),X_75))
| ~ is_a_theorem(implies(implies(implies(implies(X_73,X_74),implies(X_72,X_74)),X_75),implies(implies(X_72,X_73),X_75)))
| is_a_theorem(implies(implies(X_72,X_73),X_75)) ),
inference(subst,[],[condensed_detachment:[bind(X,$fot(implies(implies(implies(X_73,X_74),implies(X_72,X_74)),X_75))),bind(Y,$fot(implies(implies(X_72,X_73),X_75)))]]) ).
cnf(refute_0_11,plain,
( ~ is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))
| is_a_theorem(implies(implies(implies(implies(Y,Z),implies(X,Z)),X_22),implies(implies(X,Y),X_22))) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(implies(X,Y))),bind(Y,$fot(implies(implies(Y,Z),implies(X,Z)))),bind(Z,$fot(X_22))]]) ).
cnf(refute_0_12,plain,
is_a_theorem(implies(implies(implies(implies(Y,Z),implies(X,Z)),X_22),implies(implies(X,Y),X_22))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )],[cn_1,refute_0_11]) ).
cnf(refute_0_13,plain,
is_a_theorem(implies(implies(implies(implies(X_73,X_74),implies(X_72,X_74)),X_75),implies(implies(X_72,X_73),X_75))),
inference(subst,[],[refute_0_12:[bind(X,$fot(X_72)),bind(Y,$fot(X_73)),bind(Z,$fot(X_74)),bind(X_22,$fot(X_75))]]) ).
cnf(refute_0_14,plain,
( ~ is_a_theorem(implies(implies(implies(X_73,X_74),implies(X_72,X_74)),X_75))
| is_a_theorem(implies(implies(X_72,X_73),X_75)) ),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(implies(X_73,X_74),implies(X_72,X_74)),X_75),implies(implies(X_72,X_73),X_75))) )],[refute_0_13,refute_0_10]) ).
cnf(refute_0_15,plain,
( ~ is_a_theorem(implies(implies(implies(X_1924,X_1925),implies(X_1923,X_1925)),implies(implies(implies(X_1923,X_1925),Z),implies(implies(X_1924,X_1925),Z))))
| is_a_theorem(implies(implies(X_1923,X_1924),implies(implies(implies(X_1923,X_1925),Z),implies(implies(X_1924,X_1925),Z)))) ),
inference(subst,[],[refute_0_14:[bind(X_72,$fot(X_1923)),bind(X_73,$fot(X_1924)),bind(X_74,$fot(X_1925)),bind(X_75,$fot(implies(implies(implies(X_1923,X_1925),Z),implies(implies(X_1924,X_1925),Z))))]]) ).
cnf(refute_0_16,plain,
is_a_theorem(implies(implies(X_1923,X_1924),implies(implies(implies(X_1923,X_1925),Z),implies(implies(X_1924,X_1925),Z)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(implies(X_1924,X_1925),implies(X_1923,X_1925)),implies(implies(implies(X_1923,X_1925),Z),implies(implies(X_1924,X_1925),Z)))) )],[refute_0_9,refute_0_15]) ).
cnf(refute_0_17,plain,
is_a_theorem(implies(implies(not(X_26),X_1969),implies(implies(implies(not(X_26),X_1970),X_1967),implies(implies(X_1969,X_1970),X_1967)))),
inference(subst,[],[refute_0_16:[bind(Z,$fot(X_1967)),bind(X_1923,$fot(not(X_26))),bind(X_1924,$fot(X_1969)),bind(X_1925,$fot(X_1970))]]) ).
cnf(refute_0_18,plain,
is_a_theorem(implies(X_26,implies(implies(implies(not(X_26),X_1970),X_1967),implies(implies(X_1969,X_1970),X_1967)))),
inference(resolve,[$cnf( is_a_theorem(implies(implies(not(X_26),X_1969),implies(implies(implies(not(X_26),X_1970),X_1967),implies(implies(X_1969,X_1970),X_1967)))) )],[refute_0_17,refute_0_8]) ).
cnf(refute_0_19,plain,
is_a_theorem(implies(x,implies(implies(implies(not(x),x),x),implies(implies(y,x),x)))),
inference(subst,[],[refute_0_18:[bind(X_1967,$fot(x)),bind(X_1969,$fot(y)),bind(X_1970,$fot(x)),bind(X_26,$fot(x))]]) ).
cnf(refute_0_20,plain,
$false,
inference(resolve,[$cnf( is_a_theorem(implies(x,implies(implies(implies(not(x),x),x),implies(implies(y,x),x)))) )],[refute_0_19,prove_cn_10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL361-1 : TPTP v8.1.0. Released v2.3.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n015.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 : Sun Jul 3 19:25:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.12/1.30 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.12/1.30
% 1.12/1.30 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.12/1.30
%------------------------------------------------------------------------------