TSTP Solution File: LCL093-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : LCL093-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n020.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  : 300s
% DateTime : Thu Aug 31 06:52:12 EDT 2023

% Result   : Unsatisfiable 1.13s 1.19s
% Output   : CNFRefutation 1.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   62
%            Number of leaves      :    8
% Syntax   : Number of formulae    :  101 (  53 unt;   5 typ;   0 def)
%            Number of atoms       :  145 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  100 (  51   ~;  49   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   2   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :  357 ( 189 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    implies: ( $i * $i ) > $i ).

tff(decl_23,type,
    is_a_theorem: $i > $o ).

tff(decl_24,type,
    a: $i ).

tff(decl_25,type,
    b: $i ).

tff(decl_26,type,
    c: $i ).

cnf(condensed_detachment,axiom,
    ( is_a_theorem(X2)
    | ~ is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

cnf(ic_JLukasiewicz_5,axiom,
    is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X4)),implies(implies(X4,X1),implies(X5,implies(X3,X1))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5) ).

cnf(prove_ic_4,negated_conjecture,
    ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_4) ).

cnf(c_0_3,axiom,
    ( is_a_theorem(X2)
    | ~ is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X1) ),
    condensed_detachment ).

cnf(c_0_4,axiom,
    is_a_theorem(implies(implies(implies(X1,X2),implies(X3,X4)),implies(implies(X4,X1),implies(X5,implies(X3,X1))))),
    ic_JLukasiewicz_5 ).

cnf(c_0_5,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X4,X2))))
    | ~ is_a_theorem(implies(implies(X2,X5),implies(X4,X1))) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_6,plain,
    is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X3,X4)),implies(X5,implies(implies(X6,X3),implies(X3,X4))))),
    inference(spm,[status(thm)],[c_0_5,c_0_4]) ).

cnf(c_0_7,plain,
    ( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,X4))))
    | ~ is_a_theorem(implies(implies(X5,implies(X6,X3)),implies(X3,X4))) ),
    inference(spm,[status(thm)],[c_0_3,c_0_6]) ).

cnf(c_0_8,plain,
    is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,implies(implies(X4,X5),implies(X5,X3)))))),
    inference(spm,[status(thm)],[c_0_7,c_0_6]) ).

cnf(c_0_9,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))
    | ~ is_a_theorem(X5) ),
    inference(spm,[status(thm)],[c_0_3,c_0_8]) ).

cnf(c_0_10,plain,
    is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2))))),
    inference(spm,[status(thm)],[c_0_9,c_0_4]) ).

cnf(c_0_11,plain,
    is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X2,X3)),X4),implies(X5,implies(X3,X4)))),
    inference(spm,[status(thm)],[c_0_5,c_0_10]) ).

cnf(c_0_12,plain,
    is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,implies(X4,implies(X5,X3)))))),
    inference(spm,[status(thm)],[c_0_7,c_0_11]) ).

cnf(c_0_13,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))
    | ~ is_a_theorem(X5) ),
    inference(spm,[status(thm)],[c_0_3,c_0_12]) ).

cnf(c_0_14,plain,
    is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2))))),
    inference(spm,[status(thm)],[c_0_13,c_0_4]) ).

cnf(c_0_15,plain,
    is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(X5,implies(X3,X4)))),
    inference(spm,[status(thm)],[c_0_5,c_0_14]) ).

cnf(c_0_16,plain,
    is_a_theorem(implies(implies(implies(X1,X2),implies(X3,implies(X4,X1))),implies(X5,implies(X6,implies(X3,implies(X4,X1)))))),
    inference(spm,[status(thm)],[c_0_5,c_0_15]) ).

cnf(c_0_17,plain,
    ( is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X5)))))
    | ~ is_a_theorem(implies(implies(X5,X6),implies(X3,implies(X4,X5)))) ),
    inference(spm,[status(thm)],[c_0_3,c_0_16]) ).

cnf(c_0_18,plain,
    is_a_theorem(implies(X1,implies(X2,implies(implies(X3,X4),implies(X5,implies(X4,X4)))))),
    inference(spm,[status(thm)],[c_0_17,c_0_4]) ).

cnf(c_0_19,plain,
    ( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3)))))
    | ~ is_a_theorem(X5) ),
    inference(spm,[status(thm)],[c_0_3,c_0_18]) ).

cnf(c_0_20,plain,
    is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3))))),
    inference(spm,[status(thm)],[c_0_19,c_0_4]) ).

cnf(c_0_21,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X2,X2))))
    | ~ is_a_theorem(X4) ),
    inference(spm,[status(thm)],[c_0_3,c_0_20]) ).

cnf(c_0_22,plain,
    is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X2,X2)))),
    inference(spm,[status(thm)],[c_0_21,c_0_4]) ).

cnf(c_0_23,plain,
    is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X4))))),
    inference(spm,[status(thm)],[c_0_17,c_0_22]) ).

cnf(c_0_24,plain,
    ( is_a_theorem(implies(X1,implies(X2,implies(X3,X3))))
    | ~ is_a_theorem(X4) ),
    inference(spm,[status(thm)],[c_0_3,c_0_23]) ).

cnf(c_0_25,plain,
    is_a_theorem(implies(X1,implies(X2,implies(X3,X3)))),
    inference(spm,[status(thm)],[c_0_24,c_0_4]) ).

cnf(c_0_26,plain,
    ( is_a_theorem(implies(X1,implies(X2,X2)))
    | ~ is_a_theorem(X3) ),
    inference(spm,[status(thm)],[c_0_3,c_0_25]) ).

cnf(c_0_27,plain,
    is_a_theorem(implies(X1,implies(X2,X2))),
    inference(spm,[status(thm)],[c_0_26,c_0_4]) ).

cnf(c_0_28,plain,
    ( is_a_theorem(implies(X1,X1))
    | ~ is_a_theorem(X2) ),
    inference(spm,[status(thm)],[c_0_3,c_0_27]) ).

cnf(c_0_29,plain,
    is_a_theorem(implies(X1,X1)),
    inference(spm,[status(thm)],[c_0_28,c_0_4]) ).

cnf(c_0_30,plain,
    is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X3))))),
    inference(spm,[status(thm)],[c_0_17,c_0_29]) ).

cnf(c_0_31,plain,
    ( is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))
    | ~ is_a_theorem(X4) ),
    inference(spm,[status(thm)],[c_0_3,c_0_30]) ).

cnf(c_0_32,plain,
    is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))),
    inference(spm,[status(thm)],[c_0_31,c_0_4]) ).

cnf(c_0_33,plain,
    ( is_a_theorem(implies(X1,implies(X2,X3)))
    | ~ is_a_theorem(implies(implies(X4,implies(X5,X2)),X3)) ),
    inference(spm,[status(thm)],[c_0_3,c_0_15]) ).

cnf(c_0_34,plain,
    ( is_a_theorem(implies(X1,implies(X2,X1)))
    | ~ is_a_theorem(X3) ),
    inference(spm,[status(thm)],[c_0_3,c_0_32]) ).

cnf(c_0_35,plain,
    is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),implies(X4,implies(X5,X3)))))),
    inference(spm,[status(thm)],[c_0_33,c_0_4]) ).

cnf(c_0_36,plain,
    is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X2)))))),
    inference(spm,[status(thm)],[c_0_33,c_0_15]) ).

cnf(c_0_37,plain,
    is_a_theorem(implies(X1,implies(X2,X1))),
    inference(spm,[status(thm)],[c_0_34,c_0_4]) ).

cnf(c_0_38,plain,
    ( is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2)))))
    | ~ is_a_theorem(X5) ),
    inference(spm,[status(thm)],[c_0_3,c_0_35]) ).

cnf(c_0_39,plain,
    ( is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X1)))))
    | ~ is_a_theorem(X5) ),
    inference(spm,[status(thm)],[c_0_3,c_0_36]) ).

cnf(c_0_40,plain,
    is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(X4,X1)))),
    inference(spm,[status(thm)],[c_0_5,c_0_37]) ).

cnf(c_0_41,plain,
    is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2))))),
    inference(spm,[status(thm)],[c_0_38,c_0_4]) ).

cnf(c_0_42,plain,
    is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X1))))),
    inference(spm,[status(thm)],[c_0_39,c_0_4]) ).

cnf(c_0_43,plain,
    ( is_a_theorem(implies(X1,implies(X2,X3)))
    | ~ is_a_theorem(implies(implies(X3,X4),X3)) ),
    inference(spm,[status(thm)],[c_0_3,c_0_40]) ).

cnf(c_0_44,plain,
    is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(X5,implies(implies(implies(X4,X6),X3),X4)))),
    inference(spm,[status(thm)],[c_0_5,c_0_41]) ).

cnf(c_0_45,plain,
    ( is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))
    | ~ is_a_theorem(X4) ),
    inference(spm,[status(thm)],[c_0_3,c_0_42]) ).

cnf(c_0_46,plain,
    is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(implies(X4,X5),X4),X4))))),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_47,plain,
    ( is_a_theorem(implies(X1,implies(X2,X3)))
    | ~ is_a_theorem(X4)
    | ~ is_a_theorem(X3) ),
    inference(spm,[status(thm)],[c_0_3,c_0_45]) ).

cnf(c_0_48,plain,
    ( is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3))))
    | ~ is_a_theorem(X5) ),
    inference(spm,[status(thm)],[c_0_3,c_0_46]) ).

cnf(c_0_49,plain,
    ( is_a_theorem(implies(X1,implies(X2,X3)))
    | ~ is_a_theorem(X3) ),
    inference(spm,[status(thm)],[c_0_47,c_0_4]) ).

cnf(c_0_50,plain,
    is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3)))),
    inference(spm,[status(thm)],[c_0_48,c_0_4]) ).

cnf(c_0_51,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X3)
    | ~ is_a_theorem(X2) ),
    inference(spm,[status(thm)],[c_0_3,c_0_49]) ).

cnf(c_0_52,plain,
    ( is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2)))
    | ~ is_a_theorem(X4) ),
    inference(spm,[status(thm)],[c_0_3,c_0_50]) ).

cnf(c_0_53,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X2) ),
    inference(spm,[status(thm)],[c_0_51,c_0_4]) ).

cnf(c_0_54,plain,
    is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))),
    inference(spm,[status(thm)],[c_0_52,c_0_4]) ).

cnf(c_0_55,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X4,X2))))
    | ~ is_a_theorem(implies(X4,X1)) ),
    inference(spm,[status(thm)],[c_0_5,c_0_53]) ).

cnf(c_0_56,plain,
    ( is_a_theorem(implies(implies(implies(X1,X2),X1),X1))
    | ~ is_a_theorem(X3) ),
    inference(spm,[status(thm)],[c_0_3,c_0_54]) ).

cnf(c_0_57,plain,
    ( is_a_theorem(implies(X1,implies(X2,X3)))
    | ~ is_a_theorem(implies(X4,X3))
    | ~ is_a_theorem(implies(X2,X4)) ),
    inference(spm,[status(thm)],[c_0_3,c_0_55]) ).

cnf(c_0_58,plain,
    is_a_theorem(implies(implies(implies(X1,X2),X1),X1)),
    inference(spm,[status(thm)],[c_0_56,c_0_4]) ).

cnf(c_0_59,plain,
    ( is_a_theorem(implies(X1,implies(X2,X3)))
    | ~ is_a_theorem(implies(X2,implies(implies(X3,X4),X3))) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_60,plain,
    is_a_theorem(implies(implies(X1,X2),implies(X3,implies(implies(implies(X1,X4),X1),X2)))),
    inference(spm,[status(thm)],[c_0_5,c_0_54]) ).

cnf(c_0_61,plain,
    ( is_a_theorem(X1)
    | ~ is_a_theorem(implies(implies(X1,X2),X1)) ),
    inference(spm,[status(thm)],[c_0_3,c_0_58]) ).

cnf(c_0_62,plain,
    is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(implies(X2,X4),X2),X3)))),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_63,plain,
    is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X1),X2))),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_64,plain,
    is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X2,X3)))),
    inference(spm,[status(thm)],[c_0_59,c_0_63]) ).

cnf(c_0_65,plain,
    ( is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X4,implies(X5,X3))))
    | ~ is_a_theorem(implies(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_5,c_0_55]) ).

cnf(c_0_66,plain,
    is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),
    inference(spm,[status(thm)],[c_0_61,c_0_64]) ).

cnf(c_0_67,plain,
    ( is_a_theorem(implies(X1,implies(X2,X3)))
    | ~ is_a_theorem(implies(implies(X4,X5),X3))
    | ~ is_a_theorem(implies(X4,X3)) ),
    inference(spm,[status(thm)],[c_0_3,c_0_65]) ).

cnf(c_0_68,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(X1,implies(X1,X2))) ),
    inference(spm,[status(thm)],[c_0_3,c_0_66]) ).

cnf(c_0_69,plain,
    ( is_a_theorem(implies(X1,implies(X2,implies(X3,X4))))
    | ~ is_a_theorem(implies(X3,implies(X3,X4))) ),
    inference(spm,[status(thm)],[c_0_67,c_0_29]) ).

cnf(c_0_70,plain,
    is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X4,implies(X2,X3)))),
    inference(spm,[status(thm)],[c_0_5,c_0_32]) ).

cnf(c_0_71,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
    | ~ is_a_theorem(implies(X3,X1)) ),
    inference(spm,[status(thm)],[c_0_68,c_0_55]) ).

cnf(c_0_72,plain,
    is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X5),implies(X4,X5))))),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_73,plain,
    ( is_a_theorem(implies(implies(X1,X2),X2))
    | ~ is_a_theorem(implies(implies(X1,X2),X1)) ),
    inference(spm,[status(thm)],[c_0_68,c_0_71]) ).

cnf(c_0_74,plain,
    is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4)))),
    inference(spm,[status(thm)],[c_0_61,c_0_72]) ).

cnf(c_0_75,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),X1),X3),X3)),
    inference(spm,[status(thm)],[c_0_73,c_0_54]) ).

cnf(c_0_76,plain,
    is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))),
    inference(spm,[status(thm)],[c_0_61,c_0_74]) ).

cnf(c_0_77,plain,
    ( is_a_theorem(X1)
    | ~ is_a_theorem(implies(implies(implies(implies(X2,X3),X2),X2),X1)) ),
    inference(spm,[status(thm)],[c_0_3,c_0_75]) ).

cnf(c_0_78,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(implies(X3,X1),X2)) ),
    inference(spm,[status(thm)],[c_0_3,c_0_76]) ).

cnf(c_0_79,plain,
    is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,implies(X4,X2))),X5),implies(X6,implies(X1,X5)))),
    inference(spm,[status(thm)],[c_0_5,c_0_35]) ).

cnf(c_0_80,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(X1,implies(implies(X2,X3),X2))) ),
    inference(spm,[status(thm)],[c_0_77,c_0_71]) ).

cnf(c_0_81,plain,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X4,implies(X1,X3))))),
    inference(spm,[status(thm)],[c_0_78,c_0_4]) ).

cnf(c_0_82,plain,
    ( is_a_theorem(implies(X1,implies(X2,X3)))
    | ~ is_a_theorem(implies(implies(implies(X2,X4),implies(X5,implies(X6,X4))),X3)) ),
    inference(spm,[status(thm)],[c_0_3,c_0_79]) ).

cnf(c_0_83,plain,
    is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X2,implies(X1,X3)))),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_84,plain,
    is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(X2,X4),X4))))),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_85,plain,
    is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),X3)))),
    inference(spm,[status(thm)],[c_0_61,c_0_84]) ).

cnf(c_0_86,plain,
    is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3)))),
    inference(spm,[status(thm)],[c_0_59,c_0_85]) ).

cnf(c_0_87,plain,
    is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X4,implies(X1,X3)))),
    inference(spm,[status(thm)],[c_0_5,c_0_86]) ).

cnf(c_0_88,plain,
    is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3))),
    inference(spm,[status(thm)],[c_0_68,c_0_87]) ).

cnf(c_0_89,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(implies(implies(X1,X3),X3),X2)) ),
    inference(spm,[status(thm)],[c_0_3,c_0_88]) ).

cnf(c_0_90,plain,
    ( is_a_theorem(implies(X1,implies(X2,X3)))
    | ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_89,c_0_71]) ).

cnf(c_0_91,plain,
    ( is_a_theorem(implies(X1,implies(X2,X3)))
    | ~ is_a_theorem(implies(X2,implies(X1,implies(X2,X3)))) ),
    inference(spm,[status(thm)],[c_0_61,c_0_55]) ).

cnf(c_0_92,plain,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X4,implies(X3,X2))))),
    inference(spm,[status(thm)],[c_0_90,c_0_81]) ).

cnf(c_0_93,negated_conjecture,
    ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
    prove_ic_4 ).

cnf(c_0_94,plain,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_95,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LCL093-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n020.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    : 300
% 0.12/0.33  % DateTime   : Fri Aug 25 00:41:45 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.17/0.50  start to proof: theBenchmark
% 1.13/1.19  % Version  : CSE_E---1.5
% 1.13/1.19  % Problem  : theBenchmark.p
% 1.13/1.19  % Proof found
% 1.13/1.19  % SZS status Theorem for theBenchmark.p
% 1.13/1.19  % SZS output start Proof
% See solution above
% 1.13/1.19  % Total time : 0.679000 s
% 1.13/1.19  % SZS output end Proof
% 1.13/1.19  % Total time : 0.682000 s
%------------------------------------------------------------------------------