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E---3.5.1.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN351-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 03:23:48 PM UTC 2026

% Result   : Satisfiable 0.09s 0.45s
% Output   : Saturation 0.09s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_8ERROR: Could not build tree for root c_0_50ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_9,negated_conjecture,
    ( ~ f(a,X1,a,X2)
    | f(X1,b,X1,X2) ),
    c_0_7,
    [final] ).

cnf(c_0_10,negated_conjecture,
    ( f(a,X2,X1,X2)
    | f(a,X1,a,X2) ),
    clause5,
    [final] ).

cnf(c_0_12,negated_conjecture,
    ( ~ f(a,X2,X1,X2)
    | ~ f(a,X1,a,X2)
    | ~ f(a,z(X1,X2),X1,z(X1,X2)) ),
    c_0_8,
    [final] ).

cnf(c_0_13,negated_conjecture,
    f(a,X1,a,z(X2,X1)),
    clause1,
    [final] ).

cnf(c_0_14,negated_conjecture,
    ( f(X2,b,X2,X1)
    | f(a,X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]),
    [final] ).

cnf(c_0_15,negated_conjecture,
    ( ~ f(X1,b,X1,X2)
    | f(a,X1,a,X2) ),
    c_0_11,
    [final] ).

cnf(c_0_16,negated_conjecture,
    ( ~ f(a,X2,X1,X2)
    | ~ f(a,X1,a,X2)
    | f(a,X1,a,z(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_12,c_0_10]),
    [final] ).

cnf(c_0_17,negated_conjecture,
    f(X1,b,X1,z(X2,X1)),
    inference(spm,[status(thm)],[c_0_9,c_0_13]),
    [final] ).

cnf(c_0_18,negated_conjecture,
    ( f(a,X1,a,X1)
    | f(b,b,b,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_14]),
    [final] ).

cnf(c_0_19,negated_conjecture,
    ( f(a,X1,b,X1)
    | f(a,a,a,X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_10]),
    [final] ).

cnf(c_0_20,negated_conjecture,
    ( f(X1,b,X1,X1)
    | f(a,a,a,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]),
    [final] ).

cnf(c_0_21,negated_conjecture,
    ( ~ f(a,X2,X1,X2)
    | ~ f(a,X1,a,X2)
    | f(X1,b,X1,z(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_12,c_0_14]),
    [final] ).

cnf(c_0_22,negated_conjecture,
    ( ~ f(a,z(X1,a),b,z(X1,a))
    | f(a,b,a,z(b,z(X1,a))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]),
    [final] ).

cnf(c_0_23,negated_conjecture,
    ( f(a,z(X2,X1),X2,z(X2,X1))
    | f(a,X1,X2,X1) ),
    clause6,
    [final] ).

cnf(c_0_24,negated_conjecture,
    ( ~ f(a,z(X2,X1),X1,z(X2,X1))
    | f(a,X1,a,z(X1,z(X2,X1))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_13]),
    [final] ).

cnf(c_0_25,negated_conjecture,
    ( ~ f(a,X1,a,X1)
    | ~ f(a,a,a,X1)
    | f(b,b,b,z(a,X1)) ),
    inference(spm,[status(thm)],[c_0_12,c_0_18]),
    [final] ).

cnf(c_0_26,negated_conjecture,
    ( ~ f(a,X1,b,X1)
    | ~ f(a,b,a,X1)
    | f(a,a,a,z(b,X1)) ),
    inference(spm,[status(thm)],[c_0_12,c_0_19]),
    [final] ).

cnf(c_0_27,negated_conjecture,
    ( f(X1,b,X1,X1)
    | f(a,b,a,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_20]),
    [final] ).

cnf(c_0_28,negated_conjecture,
    ( ~ f(a,X1,a,X1)
    | f(a,X1,b,X1)
    | f(a,b,a,z(a,X1)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_19]),
    [final] ).

cnf(c_0_29,negated_conjecture,
    ( ~ f(a,X1,a,X1)
    | f(a,X1,b,X1)
    | f(a,a,a,z(a,X1)) ),
    inference(spm,[status(thm)],[c_0_16,c_0_19]),
    [final] ).

cnf(c_0_30,negated_conjecture,
    ( f(a,z(X1,X2),X1,z(X1,X2))
    | f(a,X1,a,X2) ),
    clause4,
    [final] ).

cnf(c_0_31,negated_conjecture,
    ( f(a,a,b,a)
    | f(a,b,a,z(b,z(b,a))) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]),
    [final] ).

cnf(c_0_32,negated_conjecture,
    ( f(a,X1,X1,X1)
    | f(a,X1,a,z(X1,z(X1,X1))) ),
    inference(spm,[status(thm)],[c_0_24,c_0_23]),
    [final] ).

cnf(c_0_33,negated_conjecture,
    f(a,a,a,b),
    inference(spm,[status(thm)],[c_0_15,c_0_10]),
    [final] ).

cnf(c_0_34,negated_conjecture,
    f(a,a,a,a),
    inference(ef,[status(thm)],[c_0_10]),
    [final] ).

cnf(c_0_35,negated_conjecture,
    ( ~ f(a,X1,a,X1)
    | f(a,X1,b,X1)
    | f(b,b,b,z(a,X1)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_19]),
    [final] ).

cnf(c_0_36,negated_conjecture,
    ( ~ f(a,X1,b,X1)
    | f(X1,b,X1,X1)
    | f(a,a,a,z(b,X1)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]),
    [final] ).

cnf(c_0_37,negated_conjecture,
    ( ~ f(a,X1,b,X1)
    | f(X1,b,X1,X1)
    | f(b,b,b,z(b,X1)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_27]),
    [final] ).

cnf(c_0_38,negated_conjecture,
    ( ~ f(a,X1,b,X1)
    | f(a,X1,a,X1)
    | f(b,b,b,z(b,X1)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_14]),
    [final] ).

cnf(c_0_39,negated_conjecture,
    ( f(a,X1,X1,X1)
    | f(a,X1,b,X1)
    | f(a,b,a,z(a,X1)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_10]),
    [final] ).

cnf(c_0_40,negated_conjecture,
    ( f(a,X1,X1,X1)
    | f(a,X1,b,X1)
    | f(a,a,a,z(a,X1)) ),
    inference(spm,[status(thm)],[c_0_29,c_0_10]),
    [final] ).

cnf(c_0_41,negated_conjecture,
    ( ~ f(a,X1,b,X1)
    | f(X1,b,X1,X1)
    | f(a,b,a,z(b,X1)) ),
    inference(spm,[status(thm)],[c_0_16,c_0_27]),
    [final] ).

cnf(c_0_42,negated_conjecture,
    ( ~ f(a,X1,b,X1)
    | f(a,X1,a,X1)
    | f(a,a,a,z(b,X1)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_14]),
    [final] ).

cnf(c_0_43,negated_conjecture,
    ( ~ f(a,X1,b,X1)
    | f(a,X1,a,X1)
    | f(a,b,a,z(b,X1)) ),
    inference(spm,[status(thm)],[c_0_16,c_0_14]),
    [final] ).

cnf(c_0_44,negated_conjecture,
    ( f(a,X1,a,X1)
    | f(a,X1,a,z(X1,z(X1,X1))) ),
    inference(spm,[status(thm)],[c_0_24,c_0_30]),
    [final] ).

cnf(c_0_45,negated_conjecture,
    f(a,a,a,z(X1,b)),
    inference(spm,[status(thm)],[c_0_15,c_0_13]),
    [final] ).

cnf(c_0_46,negated_conjecture,
    ( f(a,a,b,a)
    | f(a,a,a,z(b,z(b,a))) ),
    inference(spm,[status(thm)],[c_0_15,c_0_31]),
    [final] ).

cnf(c_0_47,negated_conjecture,
    ( f(a,b,b,b)
    | f(a,a,a,z(b,z(b,b))) ),
    inference(spm,[status(thm)],[c_0_15,c_0_32]),
    [final] ).

cnf(c_0_48,negated_conjecture,
    f(a,b,a,b),
    inference(spm,[status(thm)],[c_0_9,c_0_33]),
    [final] ).

cnf(c_0_49,negated_conjecture,
    f(a,b,a,a),
    inference(spm,[status(thm)],[c_0_9,c_0_34]),
    [final] ).

cnf(c_0_50,negated_conjecture,
    ( f(a,X1,a,X1)
    | f(a,z(a,X1),b,z(a,X1))
    | f(b,b,b,z(a,z(a,X1))) ),
    inference(spm,[status(thm)],[c_0_35,c_0_23]),
    [final] ).

cnf(c_0_51,negated_conjecture,
    ( f(a,a,a,X1)
    | f(a,z(a,X1),b,z(a,X1))
    | f(b,b,b,z(a,z(a,X1))) ),
    inference(spm,[status(thm)],[c_0_35,c_0_30]),
    [final] ).

cnf(c_0_52,negated_conjecture,
    ( f(a,X1,b,X1)
    | f(a,a,a,z(b,z(b,X1)))
    | f(z(b,X1),b,z(b,X1),z(b,X1)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_23]),
    [final] ).

cnf(c_0_53,negated_conjecture,
    ( f(a,b,a,X1)
    | f(a,a,a,z(b,z(b,X1)))
    | f(z(b,X1),b,z(b,X1),z(b,X1)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_30]),
    [final] ).

cnf(c_0_54,negated_conjecture,
    ( f(a,X1,b,X1)
    | f(b,b,b,z(b,z(b,X1)))
    | f(z(b,X1),b,z(b,X1),z(b,X1)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_23]),
    [final] ).

cnf(c_0_55,negated_conjecture,
    ( f(a,b,a,X1)
    | f(b,b,b,z(b,z(b,X1)))
    | f(z(b,X1),b,z(b,X1),z(b,X1)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_30]),
    [final] ).

cnf(c_0_56,negated_conjecture,
    ( f(a,X1,b,X1)
    | f(a,z(b,X1),a,z(b,X1))
    | f(b,b,b,z(b,z(b,X1))) ),
    inference(spm,[status(thm)],[c_0_38,c_0_23]),
    [final] ).

cnf(c_0_57,negated_conjecture,
    ( f(a,b,a,X1)
    | f(a,z(b,X1),a,z(b,X1))
    | f(b,b,b,z(b,z(b,X1))) ),
    inference(spm,[status(thm)],[c_0_38,c_0_30]),
    [final] ).

cnf(c_0_58,negated_conjecture,
    ( ~ f(a,z(a,X1),b,z(a,X1))
    | f(a,X1,X1,X1)
    | f(a,X1,b,X1)
    | f(b,b,b,z(b,z(a,X1))) ),
    inference(spm,[status(thm)],[c_0_21,c_0_39]),
    [final] ).

cnf(c_0_59,negated_conjecture,
    ( ~ f(a,z(a,X1),a,z(a,X1))
    | f(a,X1,X1,X1)
    | f(a,X1,b,X1)
    | f(b,b,b,z(a,z(a,X1))) ),
    inference(spm,[status(thm)],[c_0_25,c_0_40]),
    [final] ).

cnf(c_0_60,negated_conjecture,
    ( f(a,X1,b,X1)
    | f(a,b,a,z(b,z(b,X1)))
    | f(z(b,X1),b,z(b,X1),z(b,X1)) ),
    inference(spm,[status(thm)],[c_0_41,c_0_23]),
    [final] ).

cnf(c_0_61,negated_conjecture,
    ( f(a,b,a,X1)
    | f(a,b,a,z(b,z(b,X1)))
    | f(z(b,X1),b,z(b,X1),z(b,X1)) ),
    inference(spm,[status(thm)],[c_0_41,c_0_30]),
    [final] ).

cnf(c_0_62,negated_conjecture,
    ( f(a,X1,b,X1)
    | f(a,z(b,X1),a,z(b,X1))
    | f(a,a,a,z(b,z(b,X1))) ),
    inference(spm,[status(thm)],[c_0_42,c_0_23]),
    [final] ).

cnf(c_0_63,negated_conjecture,
    ( ~ f(a,z(a,X1),b,z(a,X1))
    | f(a,X1,X1,X1)
    | f(a,X1,b,X1)
    | f(a,a,a,z(b,z(a,X1))) ),
    inference(spm,[status(thm)],[c_0_26,c_0_39]),
    [final] ).

cnf(c_0_64,negated_conjecture,
    ( ~ f(a,z(a,X1),b,z(a,X1))
    | f(a,X1,X1,X1)
    | f(a,X1,b,X1)
    | f(a,b,a,z(b,z(a,X1))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_39]),
    [final] ).

cnf(c_0_65,negated_conjecture,
    ( f(a,b,a,X1)
    | f(a,z(b,X1),a,z(b,X1))
    | f(a,a,a,z(b,z(b,X1))) ),
    inference(spm,[status(thm)],[c_0_42,c_0_30]),
    [final] ).

cnf(c_0_66,negated_conjecture,
    ( f(a,X1,a,X1)
    | f(a,z(a,X1),b,z(a,X1))
    | f(a,b,a,z(a,z(a,X1))) ),
    inference(spm,[status(thm)],[c_0_28,c_0_23]),
    [final] ).

cnf(c_0_67,negated_conjecture,
    ( f(a,a,a,X1)
    | f(a,z(a,X1),b,z(a,X1))
    | f(a,b,a,z(a,z(a,X1))) ),
    inference(spm,[status(thm)],[c_0_28,c_0_30]),
    [final] ).

cnf(c_0_68,negated_conjecture,
    ( ~ f(a,z(a,X1),a,z(a,X1))
    | f(a,X1,X1,X1)
    | f(a,X1,b,X1)
    | f(a,b,a,z(a,z(a,X1))) ),
    inference(spm,[status(thm)],[c_0_21,c_0_40]),
    [final] ).

cnf(c_0_69,negated_conjecture,
    ( ~ f(a,z(a,X1),a,z(a,X1))
    | f(a,X1,X1,X1)
    | f(a,X1,b,X1)
    | f(a,a,a,z(a,z(a,X1))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_40]),
    [final] ).

cnf(c_0_70,negated_conjecture,
    ( f(a,X1,X1,X1)
    | f(a,X1,b,X1)
    | f(b,b,b,z(a,X1)) ),
    inference(spm,[status(thm)],[c_0_35,c_0_10]),
    [final] ).

cnf(c_0_71,negated_conjecture,
    ( f(a,X1,b,X1)
    | f(a,z(b,X1),a,z(b,X1))
    | f(a,b,a,z(b,z(b,X1))) ),
    inference(spm,[status(thm)],[c_0_43,c_0_23]),
    [final] ).

cnf(c_0_72,negated_conjecture,
    ( f(a,b,a,X1)
    | f(a,z(b,X1),a,z(b,X1))
    | f(a,b,a,z(b,z(b,X1))) ),
    inference(spm,[status(thm)],[c_0_43,c_0_30]),
    [final] ).

cnf(c_0_73,negated_conjecture,
    ( f(a,X1,a,X1)
    | f(a,z(a,X1),b,z(a,X1))
    | f(a,a,a,z(a,z(a,X1))) ),
    inference(spm,[status(thm)],[c_0_29,c_0_23]),
    [final] ).

cnf(c_0_74,negated_conjecture,
    ( f(a,a,a,X1)
    | f(a,z(a,X1),b,z(a,X1))
    | f(a,a,a,z(a,z(a,X1))) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]),
    [final] ).

cnf(c_0_75,negated_conjecture,
    ( ~ f(a,z(X1,z(X1,X1)),X1,z(X1,z(X1,X1)))
    | f(a,X1,X1,X1)
    | f(X1,b,X1,z(X1,z(X1,z(X1,X1)))) ),
    inference(spm,[status(thm)],[c_0_21,c_0_32]),
    [final] ).

cnf(c_0_76,negated_conjecture,
    ( ~ f(a,z(X1,z(X1,X1)),X1,z(X1,z(X1,X1)))
    | f(a,X1,a,X1)
    | f(X1,b,X1,z(X1,z(X1,z(X1,X1)))) ),
    inference(spm,[status(thm)],[c_0_21,c_0_44]),
    [final] ).

cnf(c_0_77,negated_conjecture,
    ( ~ f(a,z(X1,b),a,z(X1,b))
    | f(b,b,b,z(a,z(X1,b))) ),
    inference(spm,[status(thm)],[c_0_25,c_0_45]),
    [final] ).

cnf(c_0_78,negated_conjecture,
    ( ~ f(a,z(X1,a),a,z(X1,a))
    | f(b,b,b,z(a,z(X1,a))) ),
    inference(spm,[status(thm)],[c_0_25,c_0_13]),
    [final] ).

cnf(c_0_79,negated_conjecture,
    ( ~ f(a,z(X1,a),b,z(X1,a))
    | f(b,b,b,z(b,z(X1,a))) ),
    inference(spm,[status(thm)],[c_0_21,c_0_17]),
    [final] ).

cnf(c_0_80,negated_conjecture,
    ( ~ f(a,z(X1,z(X1,X1)),X1,z(X1,z(X1,X1)))
    | f(a,X1,X1,X1)
    | f(a,X1,a,z(X1,z(X1,z(X1,X1)))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_32]),
    [final] ).

cnf(c_0_81,negated_conjecture,
    ( ~ f(a,z(X1,z(X1,X1)),X1,z(X1,z(X1,X1)))
    | f(a,X1,a,X1)
    | f(a,X1,a,z(X1,z(X1,z(X1,X1)))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_44]),
    [final] ).

cnf(c_0_82,negated_conjecture,
    ( ~ f(a,z(b,z(b,a)),a,z(b,z(b,a)))
    | f(a,a,b,a)
    | f(b,b,b,z(a,z(b,z(b,a)))) ),
    inference(spm,[status(thm)],[c_0_25,c_0_46]),
    [final] ).

cnf(c_0_83,negated_conjecture,
    ( ~ f(a,z(X1,b),b,z(X1,b))
    | f(a,a,a,z(b,z(X1,b))) ),
    inference(spm,[status(thm)],[c_0_26,c_0_13]),
    [final] ).

cnf(c_0_84,negated_conjecture,
    ( ~ f(a,z(b,z(b,b)),a,z(b,z(b,b)))
    | f(a,b,b,b)
    | f(b,b,b,z(a,z(b,z(b,b)))) ),
    inference(spm,[status(thm)],[c_0_25,c_0_47]),
    [final] ).

cnf(c_0_85,negated_conjecture,
    ( ~ f(a,z(b,z(b,a)),b,z(b,z(b,a)))
    | f(a,a,b,a)
    | f(a,a,a,z(b,z(b,z(b,a)))) ),
    inference(spm,[status(thm)],[c_0_26,c_0_31]),
    [final] ).

cnf(c_0_86,negated_conjecture,
    ( ~ f(a,z(X1,a),b,z(X1,a))
    | f(a,a,a,z(b,z(X1,a))) ),
    inference(spm,[status(thm)],[c_0_26,c_0_17]),
    [final] ).

cnf(c_0_87,negated_conjecture,
    ( f(X1,b,X1,X1)
    | f(b,b,b,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_27]),
    [final] ).

cnf(c_0_88,negated_conjecture,
    ( ~ f(a,z(b,z(b,b)),b,z(b,z(b,b)))
    | f(a,b,b,b)
    | f(a,a,a,z(b,z(b,z(b,b)))) ),
    inference(spm,[status(thm)],[c_0_26,c_0_32]),
    [final] ).

cnf(c_0_89,negated_conjecture,
    ( ~ f(a,z(b,z(b,a)),a,z(b,z(b,a)))
    | f(a,a,b,a)
    | f(a,b,a,z(a,z(b,z(b,a)))) ),
    inference(spm,[status(thm)],[c_0_21,c_0_46]),
    [final] ).

cnf(c_0_90,negated_conjecture,
    ( ~ f(a,z(X2,X1),X1,z(X2,X1))
    | f(X1,b,X1,z(X1,z(X2,X1))) ),
    inference(spm,[status(thm)],[c_0_21,c_0_13]),
    [final] ).

cnf(c_0_91,negated_conjecture,
    ( ~ f(a,z(X1,b),a,z(X1,b))
    | f(a,b,a,z(a,z(X1,b))) ),
    inference(spm,[status(thm)],[c_0_21,c_0_45]),
    [final] ).

cnf(c_0_92,negated_conjecture,
    ( ~ f(a,z(b,z(b,b)),a,z(b,z(b,b)))
    | f(a,b,b,b)
    | f(a,b,a,z(a,z(b,z(b,b)))) ),
    inference(spm,[status(thm)],[c_0_21,c_0_47]),
    [final] ).

cnf(c_0_93,negated_conjecture,
    ( ~ f(a,z(b,z(b,a)),b,z(b,z(b,a)))
    | f(a,a,b,a)
    | f(b,b,b,z(b,z(b,z(b,a)))) ),
    inference(spm,[status(thm)],[c_0_21,c_0_31]),
    [final] ).

cnf(c_0_94,negated_conjecture,
    ( f(a,X1,a,X1)
    | f(z(a,X1),b,z(a,X1),z(a,X1)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_23]),
    [final] ).

cnf(c_0_95,negated_conjecture,
    ( ~ f(a,z(b,z(b,a)),a,z(b,z(b,a)))
    | f(a,a,b,a)
    | f(a,a,a,z(a,z(b,z(b,a)))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_46]),
    [final] ).

cnf(c_0_96,negated_conjecture,
    ( ~ f(a,z(b,z(b,a)),b,z(b,z(b,a)))
    | f(a,a,b,a)
    | f(a,b,a,z(b,z(b,z(b,a)))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_31]),
    [final] ).

cnf(c_0_97,negated_conjecture,
    ( ~ f(a,z(b,z(b,b)),a,z(b,z(b,b)))
    | f(a,b,b,b)
    | f(a,a,a,z(a,z(b,z(b,b)))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_47]),
    [final] ).

cnf(c_0_98,negated_conjecture,
    ( f(a,a,b,a)
    | f(b,b,b,z(b,z(b,a))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_31]),
    [final] ).

cnf(c_0_99,negated_conjecture,
    ( f(a,a,a,X1)
    | f(z(a,X1),b,z(a,X1),z(a,X1)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_30]),
    [final] ).

cnf(c_0_100,negated_conjecture,
    ( f(a,X1,X1,X1)
    | f(X1,b,X1,z(X1,z(X1,X1))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_32]),
    [final] ).

cnf(c_0_101,negated_conjecture,
    ( f(a,X1,a,X1)
    | f(X1,b,X1,z(X1,z(X1,X1))) ),
    inference(spm,[status(thm)],[c_0_9,c_0_44]),
    [final] ).

cnf(c_0_102,negated_conjecture,
    ( ~ f(a,z(X1,b),a,z(X1,b))
    | f(a,a,a,z(a,z(X1,b))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_45]),
    [final] ).

cnf(c_0_103,negated_conjecture,
    f(b,b,b,z(X1,a)),
    inference(spm,[status(thm)],[c_0_9,c_0_17]),
    [final] ).

cnf(c_0_104,negated_conjecture,
    f(b,b,b,b),
    inference(spm,[status(thm)],[c_0_9,c_0_48]),
    [final] ).

cnf(c_0_105,negated_conjecture,
    f(b,b,b,a),
    inference(spm,[status(thm)],[c_0_9,c_0_49]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN351-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36  % Computer : n026.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 10:53:52 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.42  Running first-order theorem proving
% 0.09/0.42  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
% 0.09/0.45  % Version: 3.5.1
% 0.09/0.45  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.09/0.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.45  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.09/0.45  % Starting new_bool_3 with 300s (1) cores
% 0.09/0.45  % Starting new_bool_1 with 300s (1) cores
% 0.09/0.45  % Starting sh5l with 300s (1) cores
% 0.09/0.45  % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 2087508 completed with status 1
% 0.09/0.45  % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.09/0.45  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.09/0.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.45  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.09/0.45  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.45  % No SInE strategy applied
% 0.09/0.45  % Search class: FGHNF-FFSF22-SFFFFFNN
% 0.09/0.45  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.45  % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.45  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.09/0.45  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.09/0.45  % Starting new_bool_3 with 136s (1) cores
% 0.09/0.45  % Starting new_bool_1 with 136s (1) cores
% 0.09/0.45  % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 2087513 completed with status 1
% 0.09/0.45  % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.09/0.45  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.09/0.45  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.45  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.09/0.45  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.45  % No SInE strategy applied
% 0.09/0.45  % Search class: FGHNF-FFSF22-SFFFFFNN
% 0.09/0.45  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.45  % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.45  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.09/0.45  % Preprocessing time       : 0.001 s
% 0.09/0.45  
% 0.09/0.45  % No proof found!
% 0.09/0.45  % SZS status Satisfiable
% 0.09/0.45  % SZS output start Saturation
% See solution above
% 0.09/0.45  % Parsed axioms                        : 7
% 0.09/0.45  % Removed by relevancy pruning/SinE    : 0
% 0.09/0.45  % Initial clauses                      : 7
% 0.09/0.45  % Removed in clause preprocessing      : 0
% 0.09/0.45  % Initial clauses in saturation        : 7
% 0.09/0.45  % Processed clauses                    : 363
% 0.09/0.45  % ...of these trivial                  : 2
% 0.09/0.45  % ...subsumed                          : 264
% 0.09/0.45  % ...remaining for further processing  : 97
% 0.09/0.45  % Other redundant clauses eliminated   : 0
% 0.09/0.45  % Clauses deleted for lack of memory   : 0
% 0.09/0.45  % Backward-subsumed                    : 0
% 0.09/0.45  % Backward-rewritten                   : 1
% 0.09/0.45  % Generated clauses                    : 544
% 0.09/0.45  % ...of the previous two non-redundant : 358
% 0.09/0.45  % ...aggressively subsumed             : 0
% 0.09/0.45  % Contextual simplify-reflections      : 0
% 0.09/0.45  % Paramodulations                      : 536
% 0.09/0.45  % Factorizations                       : 8
% 0.09/0.45  % NegExts                              : 0
% 0.09/0.45  % Equation resolutions                 : 0
% 0.09/0.45  % Disequality decompositions           : 0
% 0.09/0.45  % Total rewrite steps                  : 193
% 0.09/0.45  % ...of those cached                   : 161
% 0.09/0.45  % Propositional unsat checks           : 0
% 0.09/0.45  %    Propositional check models        : 0
% 0.09/0.45  %    Propositional check unsatisfiable : 0
% 0.09/0.45  %    Propositional clauses             : 0
% 0.09/0.45  %    Propositional clauses after purity: 0
% 0.09/0.45  %    Propositional unsat core size     : 0
% 0.09/0.45  %    Propositional preprocessing time  : 0.000
% 0.09/0.45  %    Propositional encoding time       : 0.000
% 0.09/0.45  %    Propositional solver time         : 0.000
% 0.09/0.45  %    Success case prop preproc time    : 0.000
% 0.09/0.45  %    Success case prop encoding time   : 0.000
% 0.09/0.45  %    Success case prop solver time     : 0.000
% 0.09/0.45  % Current number of processed clauses  : 96
% 0.09/0.45  %    Positive orientable unit clauses  : 10
% 0.09/0.45  %    Positive unorientable unit clauses: 0
% 0.09/0.45  %    Negative unit clauses             : 0
% 0.09/0.45  %    Non-unit-clauses                  : 86
% 0.09/0.45  % Current number of unprocessed clauses: 0
% 0.09/0.45  % ...number of literals in the above   : 0
% 0.09/0.45  % Current number of archived formulas  : 0
% 0.09/0.45  % Current number of archived clauses   : 1
% 0.09/0.45  % Clause-clause subsumption calls (NU) : 4671
% 0.09/0.45  % Rec. Clause-clause subsumption calls : 2761
% 0.09/0.45  % Non-unit clause-clause subsumptions  : 264
% 0.09/0.45  % Unit Clause-clause subsumption calls : 0
% 0.09/0.45  % Rewrite failures with RHS unbound    : 0
% 0.09/0.45  % BW rewrite match attempts            : 12
% 0.09/0.45  % BW rewrite match successes           : 1
% 0.09/0.45  % Condensation attempts                : 0
% 0.09/0.45  % Condensation successes               : 0
% 0.09/0.45  % Termbank termtop insertions          : 11242
% 0.09/0.45  % Search garbage collected termcells   : 8
% 0.09/0.45  
% 0.09/0.45  % -------------------------------------------------
% 0.09/0.45  % User time                : 0.012 s
% 0.09/0.45  % System time              : 0.005 s
% 0.09/0.45  % Total time               : 0.016 s
% 0.09/0.45  % Maximum resident set size: 3632 pages
% 0.09/0.45  
% 0.09/0.45  % -------------------------------------------------
% 0.09/0.45  % User time                : 0.063 s
% 0.09/0.45  % System time              : 0.014 s
% 0.09/0.45  % Total time               : 0.077 s
% 0.09/0.45  % Maximum resident set size: 4608 pages
% 0.09/0.45  % E exiting
%------------------------------------------------------------------------------