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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : LCL093-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:11:44 PM UTC 2026

% Result   : Unsatisfiable 5.08s 11.10s
% Output   : CNFRefutation 5.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   63
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   98 (  54 unt;   0 nHn;  16 RR)
%            Number of literals    :  149 (   0 equ;  54 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            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   :  359 ( 189 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
    ( ~ is_a_theorem(X1)
    | ~ is_a_theorem(implies(X1,X2))
    | is_a_theorem(X2) ),
    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,plain,
    ( ~ is_a_theorem(X1)
    | ~ is_a_theorem(implies(X1,X2))
    | is_a_theorem(X2) ),
    inference(fof_simplification,[status(thm)],[condensed_detachment]) ).

cnf(c_0_4,plain,
    ( ~ is_a_theorem(X1)
    | ~ is_a_theorem(implies(X1,X2))
    | is_a_theorem(X2) ),
    c_0_3 ).

cnf(c_0_5,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_6,plain,
    ( ~ is_a_theorem(implies(implies(X2,X5),implies(X4,X1)))
    | is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X4,X2)))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_7,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_6,c_0_5]) ).

cnf(c_0_8,plain,
    ( ~ is_a_theorem(implies(implies(X5,implies(X6,X3)),implies(X3,X4)))
    | is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,X4)))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_7]) ).

cnf(c_0_9,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_8,c_0_7]) ).

cnf(c_0_10,plain,
    ( ~ is_a_theorem(X5)
    | is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2))))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_9]) ).

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

cnf(c_0_12,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_6,c_0_11]) ).

cnf(c_0_13,plain,
    is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,implies(X4,implies(X5,X3)))))),
    inference(spm,[status(thm)],[c_0_8,c_0_12]) ).

cnf(c_0_14,plain,
    ( ~ is_a_theorem(X5)
    | is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2))))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_13]) ).

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

cnf(c_0_16,plain,
    is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),X4),implies(X5,implies(X3,X4)))),
    inference(spm,[status(thm)],[c_0_6,c_0_15]) ).

cnf(c_0_17,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_6,c_0_16]) ).

cnf(c_0_18,plain,
    ( ~ is_a_theorem(implies(implies(X5,X6),implies(X3,implies(X4,X5))))
    | is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X5))))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_17]) ).

cnf(c_0_19,plain,
    is_a_theorem(implies(X1,implies(X2,implies(implies(X3,X4),implies(X5,implies(X4,X4)))))),
    inference(spm,[status(thm)],[c_0_18,c_0_5]) ).

cnf(c_0_20,plain,
    ( ~ is_a_theorem(X5)
    | is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3))))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_19]) ).

cnf(c_0_21,plain,
    is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3))))),
    inference(spm,[status(thm)],[c_0_20,c_0_5]) ).

cnf(c_0_22,plain,
    ( ~ is_a_theorem(X4)
    | is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X2,X2)))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_21]) ).

cnf(c_0_23,plain,
    is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X2,X2)))),
    inference(spm,[status(thm)],[c_0_22,c_0_5]) ).

cnf(c_0_24,plain,
    is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X4))))),
    inference(spm,[status(thm)],[c_0_18,c_0_23]) ).

cnf(c_0_25,plain,
    ( ~ is_a_theorem(X4)
    | is_a_theorem(implies(X1,implies(X2,implies(X3,X3)))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_24]) ).

cnf(c_0_26,plain,
    is_a_theorem(implies(X1,implies(X2,implies(X3,X3)))),
    inference(spm,[status(thm)],[c_0_25,c_0_5]) ).

cnf(c_0_27,plain,
    ( ~ is_a_theorem(X3)
    | is_a_theorem(implies(X1,implies(X2,X2))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_26]) ).

cnf(c_0_28,plain,
    is_a_theorem(implies(X1,implies(X2,X2))),
    inference(spm,[status(thm)],[c_0_27,c_0_5]) ).

cnf(c_0_29,plain,
    ( ~ is_a_theorem(X2)
    | is_a_theorem(implies(X1,X1)) ),
    inference(spm,[status(thm)],[c_0_4,c_0_28]) ).

cnf(c_0_30,plain,
    is_a_theorem(implies(X1,X1)),
    inference(spm,[status(thm)],[c_0_29,c_0_5]) ).

cnf(c_0_31,plain,
    is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X3))))),
    inference(spm,[status(thm)],[c_0_18,c_0_30]) ).

cnf(c_0_32,plain,
    ( ~ is_a_theorem(X4)
    | is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_31]) ).

cnf(c_0_33,plain,
    is_a_theorem(implies(X1,implies(X2,implies(X3,X2)))),
    inference(spm,[status(thm)],[c_0_32,c_0_5]) ).

cnf(c_0_34,plain,
    ( ~ is_a_theorem(implies(implies(X4,implies(X5,X2)),X3))
    | is_a_theorem(implies(X1,implies(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_16]) ).

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

cnf(c_0_36,plain,
    is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),implies(X4,implies(X5,X3)))))),
    inference(spm,[status(thm)],[c_0_34,c_0_5]) ).

cnf(c_0_37,plain,
    is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X2)))))),
    inference(spm,[status(thm)],[c_0_34,c_0_16]) ).

cnf(c_0_38,plain,
    is_a_theorem(implies(X1,implies(X2,X1))),
    inference(spm,[status(thm)],[c_0_35,c_0_5]) ).

cnf(c_0_39,plain,
    ( ~ is_a_theorem(X5)
    | is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2))))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_36]) ).

cnf(c_0_40,plain,
    ( ~ is_a_theorem(X5)
    | is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X1))))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_37]) ).

cnf(c_0_41,plain,
    is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,implies(X4,X1)))),
    inference(spm,[status(thm)],[c_0_6,c_0_38]) ).

cnf(c_0_42,plain,
    is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2))))),
    inference(spm,[status(thm)],[c_0_39,c_0_5]) ).

cnf(c_0_43,plain,
    is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X1))))),
    inference(spm,[status(thm)],[c_0_40,c_0_5]) ).

cnf(c_0_44,plain,
    ( ~ is_a_theorem(implies(implies(X3,X4),X3))
    | is_a_theorem(implies(X1,implies(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_41]) ).

cnf(c_0_45,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_6,c_0_42]) ).

cnf(c_0_46,plain,
    ( ~ is_a_theorem(X4)
    | is_a_theorem(implies(X1,implies(X2,implies(X3,X4)))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_43]) ).

cnf(c_0_47,plain,
    is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(implies(X4,X5),X4),X4))))),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_48,plain,
    ( ~ is_a_theorem(X3)
    | ~ is_a_theorem(X4)
    | is_a_theorem(implies(X1,implies(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_46]) ).

cnf(c_0_49,plain,
    ( ~ is_a_theorem(X5)
    | is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3)))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_47]) ).

cnf(c_0_50,plain,
    ( ~ is_a_theorem(X3)
    | is_a_theorem(implies(X1,implies(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_48,c_0_5]) ).

cnf(c_0_51,plain,
    is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3)))),
    inference(spm,[status(thm)],[c_0_49,c_0_5]) ).

cnf(c_0_52,plain,
    ( ~ is_a_theorem(X2)
    | ~ is_a_theorem(X3)
    | is_a_theorem(implies(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_4,c_0_50]) ).

cnf(c_0_53,plain,
    ( ~ is_a_theorem(X4)
    | is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_51]) ).

cnf(c_0_54,plain,
    ( ~ is_a_theorem(X2)
    | is_a_theorem(implies(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_52,c_0_5]) ).

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

cnf(c_0_56,plain,
    ( ~ is_a_theorem(implies(X4,X1))
    | is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X4,X2)))) ),
    inference(spm,[status(thm)],[c_0_6,c_0_54]) ).

cnf(c_0_57,plain,
    ( ~ is_a_theorem(X3)
    | is_a_theorem(implies(implies(implies(X1,X2),X1),X1)) ),
    inference(spm,[status(thm)],[c_0_4,c_0_55]) ).

cnf(c_0_58,plain,
    ( ~ is_a_theorem(implies(X2,X4))
    | ~ is_a_theorem(implies(X4,X3))
    | is_a_theorem(implies(X1,implies(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_56]) ).

cnf(c_0_59,plain,
    is_a_theorem(implies(implies(implies(X1,X2),X1),X1)),
    inference(spm,[status(thm)],[c_0_57,c_0_5]) ).

cnf(c_0_60,plain,
    ( ~ is_a_theorem(implies(X2,implies(implies(X3,X4),X3)))
    | is_a_theorem(implies(X1,implies(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_61,plain,
    is_a_theorem(implies(implies(X1,X2),implies(X3,implies(implies(implies(X1,X4),X1),X2)))),
    inference(spm,[status(thm)],[c_0_6,c_0_55]) ).

cnf(c_0_62,plain,
    ( ~ is_a_theorem(implies(implies(X1,X2),X1))
    | is_a_theorem(X1) ),
    inference(spm,[status(thm)],[c_0_4,c_0_59]) ).

cnf(c_0_63,plain,
    is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(implies(X2,X4),X2),X3)))),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_64,plain,
    is_a_theorem(implies(implies(X1,X2),implies(implies(implies(X1,X3),X1),X2))),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_65,plain,
    is_a_theorem(implies(X1,implies(implies(X2,implies(X2,X3)),implies(X2,X3)))),
    inference(spm,[status(thm)],[c_0_60,c_0_64]) ).

cnf(c_0_66,plain,
    ( ~ is_a_theorem(implies(X1,X3))
    | is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X4,implies(X5,X3)))) ),
    inference(spm,[status(thm)],[c_0_6,c_0_56]) ).

cnf(c_0_67,plain,
    is_a_theorem(implies(implies(X1,implies(X1,X2)),implies(X1,X2))),
    inference(spm,[status(thm)],[c_0_62,c_0_65]) ).

cnf(c_0_68,plain,
    ( ~ is_a_theorem(implies(X4,X3))
    | ~ is_a_theorem(implies(implies(X4,X5),X3))
    | is_a_theorem(implies(X1,implies(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_66]) ).

cnf(c_0_69,plain,
    ( ~ is_a_theorem(implies(X1,implies(X1,X2)))
    | is_a_theorem(implies(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_4,c_0_67]) ).

cnf(c_0_70,plain,
    ( ~ is_a_theorem(implies(X3,implies(X3,X4)))
    | is_a_theorem(implies(X1,implies(X2,implies(X3,X4)))) ),
    inference(spm,[status(thm)],[c_0_68,c_0_30]) ).

cnf(c_0_71,plain,
    is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X4,implies(X2,X3)))),
    inference(spm,[status(thm)],[c_0_6,c_0_33]) ).

cnf(c_0_72,plain,
    ( ~ is_a_theorem(implies(X3,X1))
    | is_a_theorem(implies(implies(X1,X2),implies(X3,X2))) ),
    inference(spm,[status(thm)],[c_0_69,c_0_56]) ).

cnf(c_0_73,plain,
    is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X5),implies(X4,X5))))),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_74,plain,
    ( ~ is_a_theorem(implies(implies(X1,X2),X1))
    | is_a_theorem(implies(implies(X1,X2),X2)) ),
    inference(spm,[status(thm)],[c_0_69,c_0_72]) ).

cnf(c_0_75,plain,
    is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X4),implies(X3,X4)))),
    inference(spm,[status(thm)],[c_0_62,c_0_73]) ).

cnf(c_0_76,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),X1),X3),X3)),
    inference(spm,[status(thm)],[c_0_74,c_0_55]) ).

cnf(c_0_77,plain,
    is_a_theorem(implies(implies(implies(X1,X2),X3),implies(X2,X3))),
    inference(spm,[status(thm)],[c_0_62,c_0_75]) ).

cnf(c_0_78,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(X2,X3),X2),X2),X1))
    | is_a_theorem(X1) ),
    inference(spm,[status(thm)],[c_0_4,c_0_76]) ).

cnf(c_0_79,plain,
    ( ~ is_a_theorem(implies(implies(X3,X1),X2))
    | is_a_theorem(implies(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_4,c_0_77]) ).

cnf(c_0_80,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_6,c_0_36]) ).

cnf(c_0_81,plain,
    ( ~ is_a_theorem(implies(X1,implies(implies(X2,X3),X2)))
    | is_a_theorem(implies(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_78,c_0_72]) ).

cnf(c_0_82,plain,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X4,implies(X1,X3))))),
    inference(spm,[status(thm)],[c_0_79,c_0_5]) ).

cnf(c_0_83,plain,
    ( ~ is_a_theorem(implies(implies(implies(X2,X4),implies(X5,implies(X6,X4))),X3))
    | is_a_theorem(implies(X1,implies(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_4,c_0_80]) ).

cnf(c_0_84,plain,
    is_a_theorem(implies(implies(X1,implies(X2,implies(X1,X3))),implies(X2,implies(X1,X3)))),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_85,plain,
    is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(X2,X4),X4))))),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_86,plain,
    is_a_theorem(implies(X1,implies(X2,implies(implies(X1,X3),X3)))),
    inference(spm,[status(thm)],[c_0_62,c_0_85]) ).

cnf(c_0_87,plain,
    is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3)))),
    inference(spm,[status(thm)],[c_0_60,c_0_86]) ).

cnf(c_0_88,plain,
    is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X4,implies(X1,X3)))),
    inference(spm,[status(thm)],[c_0_6,c_0_87]) ).

cnf(c_0_89,plain,
    is_a_theorem(implies(implies(implies(implies(X1,X2),X2),X3),implies(X1,X3))),
    inference(spm,[status(thm)],[c_0_69,c_0_88]) ).

cnf(c_0_90,plain,
    ( ~ is_a_theorem(implies(implies(implies(X1,X3),X3),X2))
    | is_a_theorem(implies(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_4,c_0_89]) ).

cnf(c_0_91,plain,
    ( ~ is_a_theorem(implies(X2,implies(X1,X3)))
    | is_a_theorem(implies(X1,implies(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_90,c_0_72]) ).

cnf(c_0_92,negated_conjecture,
    ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
    inference(fof_simplification,[status(thm)],[prove_ic_4]) ).

cnf(c_0_93,plain,
    ( ~ is_a_theorem(implies(X2,implies(X1,implies(X2,X3))))
    | is_a_theorem(implies(X1,implies(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_62,c_0_56]) ).

cnf(c_0_94,plain,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X4,implies(X3,X2))))),
    inference(spm,[status(thm)],[c_0_91,c_0_82]) ).

cnf(c_0_95,negated_conjecture,
    ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
    c_0_92 ).

cnf(c_0_96,plain,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_97,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_96])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL093-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/10.37  % Computer : n004.cluster.edu
% 0.11/10.37  % Model    : x86_64 x86_64
% 0.11/10.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.37  % Memory   : 8046.5625MB
% 0.11/10.37  % OS       : Linux 6.8.0-71-generic
% 0.11/10.37  % CPULimit : 300
% 0.11/10.37  % WCLimit  : 300
% 0.11/10.37  % DateTime : Mon Sep 21 00:04:30 UTC 2026
% 0.11/10.37  % CPUTime  : 
% 0.11/10.38  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/10.42  Running first-order theorem proving
% 0.14/10.42  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.08/11.10  % Version: 3.5.1
% 5.08/11.10  % Preprocessing class: FSSSSMSSSSSNFFN.
% 5.08/11.10  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.08/11.10  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 5.08/11.10  % Starting new_bool_3 with 300s (1) cores
% 5.08/11.10  % Starting new_bool_1 with 300s (1) cores
% 5.08/11.10  % Starting sh5l with 300s (1) cores
% 5.08/11.10  % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1830965 completed with status 0
% 5.08/11.10  % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 5.08/11.10  % Preprocessing class: FSSSSMSSSSSNFFN.
% 5.08/11.10  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.08/11.10  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 5.08/11.10  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.08/11.10  % No SInE strategy applied
% 5.08/11.10  % Search class: FHUNF-FFSF22-MFFFFFNN
% 5.08/11.10  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 5.08/11.10  % Starting SubtermCWHack with 136s (1) cores
% 5.08/11.10  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 5.08/11.10  % Starting G-E--_060_C18_F1_PI_AE_CS_SP_S0Y with 136s (1) cores
% 5.08/11.10  % Starting new_bool_3 with 136s (1) cores
% 5.08/11.10  % Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 5.08/11.10  % G-E--_060_C18_F1_PI_AE_CS_SP_S0Y with pid 1830972 completed with status 0
% 5.08/11.10  % Result found by G-E--_060_C18_F1_PI_AE_CS_SP_S0Y
% 5.08/11.10  % Preprocessing class: FSSSSMSSSSSNFFN.
% 5.08/11.10  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.08/11.10  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 5.08/11.10  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.08/11.10  % No SInE strategy applied
% 5.08/11.10  % Search class: FHUNF-FFSF22-MFFFFFNN
% 5.08/11.10  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 5.08/11.10  % Starting SubtermCWHack with 136s (1) cores
% 5.08/11.10  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 5.08/11.10  % Starting G-E--_060_C18_F1_PI_AE_CS_SP_S0Y with 136s (1) cores
% 5.08/11.10  % Preprocessing time       : 0.001 s
% 5.08/11.10  
% 5.08/11.10  % Proof found!
% 5.08/11.10  % SZS status Unsatisfiable
% 5.08/11.10  % SZS output start CNFRefutation
% See solution above
% 5.08/11.10  % Parsed axioms                        : 3
% 5.08/11.10  % Removed by relevancy pruning/SinE    : 0
% 5.08/11.10  % Initial clauses                      : 3
% 5.08/11.10  % Removed in clause preprocessing      : 0
% 5.08/11.10  % Initial clauses in saturation        : 3
% 5.08/11.10  % Processed clauses                    : 10730
% 5.08/11.10  % ...of these trivial                  : 883
% 5.08/11.10  % ...subsumed                          : 8982
% 5.08/11.10  % ...remaining for further processing  : 865
% 5.08/11.10  % Other redundant clauses eliminated   : 0
% 5.08/11.10  % Clauses deleted for lack of memory   : 0
% 5.08/11.10  % Backward-subsumed                    : 43
% 5.08/11.10  % Backward-rewritten                   : 106
% 5.08/11.10  % Generated clauses                    : 123026
% 5.08/11.10  % ...of the previous two non-redundant : 102870
% 5.08/11.10  % ...aggressively subsumed             : 0
% 5.08/11.10  % Contextual simplify-reflections      : 0
% 5.08/11.10  % Paramodulations                      : 123026
% 5.08/11.10  % Factorizations                       : 0
% 5.08/11.10  % NegExts                              : 0
% 5.08/11.10  % Equation resolutions                 : 0
% 5.08/11.10  % Disequality decompositions           : 0
% 5.08/11.10  % Total rewrite steps                  : 21105
% 5.08/11.10  % ...of those cached                   : 18611
% 5.08/11.10  % Propositional unsat checks           : 0
% 5.08/11.10  %    Propositional check models        : 0
% 5.08/11.10  %    Propositional check unsatisfiable : 0
% 5.08/11.10  %    Propositional clauses             : 0
% 5.08/11.10  %    Propositional clauses after purity: 0
% 5.08/11.10  %    Propositional unsat core size     : 0
% 5.08/11.10  %    Propositional preprocessing time  : 0.000
% 5.08/11.10  %    Propositional encoding time       : 0.000
% 5.08/11.10  %    Propositional solver time         : 0.000
% 5.08/11.10  %    Success case prop preproc time    : 0.000
% 5.08/11.10  %    Success case prop encoding time   : 0.000
% 5.08/11.10  %    Success case prop solver time     : 0.000
% 5.08/11.10  % Current number of processed clauses  : 716
% 5.08/11.10  %    Positive orientable unit clauses  : 379
% 5.08/11.10  %    Positive unorientable unit clauses: 0
% 5.08/11.10  %    Negative unit clauses             : 8
% 5.08/11.10  %    Non-unit-clauses                  : 329
% 5.08/11.10  % Current number of unprocessed clauses: 81136
% 5.08/11.10  % ...number of literals in the above   : 118182
% 5.08/11.10  % Current number of archived formulas  : 0
% 5.08/11.10  % Current number of archived clauses   : 149
% 5.08/11.10  % Clause-clause subsumption calls (NU) : 275936
% 5.08/11.10  % Rec. Clause-clause subsumption calls : 275936
% 5.08/11.10  % Non-unit clause-clause subsumptions  : 9013
% 5.08/11.10  % Unit Clause-clause subsumption calls : 53747
% 5.08/11.10  % Rewrite failures with RHS unbound    : 0
% 5.08/11.10  % BW rewrite match attempts            : 80094
% 5.08/11.10  % BW rewrite match successes           : 106
% 5.08/11.10  % Condensation attempts                : 0
% 5.08/11.10  % Condensation successes               : 0
% 5.08/11.10  % Termbank termtop insertions          : 1581603
% 5.08/11.10  % Search garbage collected termcells   : 8
% 5.08/11.10  
% 5.08/11.10  % -------------------------------------------------
% 5.08/11.10  % User time                : 0.620 s
% 5.08/11.10  % System time              : 0.027 s
% 5.08/11.10  % Total time               : 0.646 s
% 5.08/11.10  % Maximum resident set size: 3632 pages
% 5.08/11.10  
% 5.08/11.10  % -------------------------------------------------
% 5.08/11.10  % User time                : 3.082 s
% 5.08/11.10  % System time              : 0.140 s
% 5.08/11.10  % Total time               : 3.222 s
% 5.08/11.10  % Maximum resident set size: 4864 pages
% 5.08/11.10  % E exiting
%------------------------------------------------------------------------------