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E-SAT---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : GRP655-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 12:44:36 PM UTC 2026

% Result   : Unsatisfiable 199.94s 29.62s
% Output   : CNFRefutation 199.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   62
%            Number of leaves      :    6
% Syntax   : Number of clauses     :  239 ( 239 unt;   0 nHn;   4 RR)
%            Number of literals    :  239 ( 238 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   0 con; 1-2 aty)
%            Number of variables   :  532 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(f05,axiom,
    mult(X1,mult(X2,mult(X3,X2))) = mult(mult(mult(X1,X2),X3),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).

cnf(f01,axiom,
    mult(X1,ld(X1,X2)) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).

cnf(f02,axiom,
    ld(X1,mult(X1,X2)) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).

cnf(f03,axiom,
    mult(rd(X1,X2),X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).

cnf(f04,axiom,
    rd(mult(X1,X2),X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).

cnf(goal,negated_conjecture,
    tuple(mult(X1,x1(X1)),mult(x1_2(X1),X1)) != tuple(x1(X1),x1_2(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

cnf(c_0_6,axiom,
    mult(X1,mult(X2,mult(X3,X2))) = mult(mult(mult(X1,X2),X3),X2),
    f05 ).

cnf(c_0_7,axiom,
    mult(X1,ld(X1,X2)) = X2,
    f01 ).

cnf(c_0_8,axiom,
    ld(X1,mult(X1,X2)) = X2,
    f02 ).

cnf(c_0_9,plain,
    mult(X1,mult(X2,mult(ld(mult(X1,X2),X3),X2))) = mult(X3,X2),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,plain,
    mult(X1,mult(ld(mult(X2,X1),X3),X1)) = ld(X2,mult(X3,X1)),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,axiom,
    mult(rd(X1,X2),X2) = X1,
    f03 ).

cnf(c_0_12,plain,
    ld(X1,ld(X2,mult(X3,X1))) = mult(ld(mult(X2,X1),X3),X1),
    inference(spm,[status(thm)],[c_0_8,c_0_10]) ).

cnf(c_0_13,axiom,
    rd(mult(X1,X2),X2) = X1,
    f04 ).

cnf(c_0_14,plain,
    mult(rd(X1,X2),mult(X2,mult(X3,X2))) = mult(mult(X1,X3),X2),
    inference(spm,[status(thm)],[c_0_6,c_0_11]) ).

cnf(c_0_15,plain,
    mult(ld(mult(X1,X2),X1),X2) = ld(X2,X2),
    inference(spm,[status(thm)],[c_0_12,c_0_8]) ).

cnf(c_0_16,plain,
    rd(mult(X1,mult(X2,mult(X3,X2))),X2) = mult(mult(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_13,c_0_6]) ).

cnf(c_0_17,plain,
    mult(mult(X1,ld(mult(X2,X3),X2)),X3) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_7]),c_0_11]) ).

cnf(c_0_18,plain,
    rd(mult(X1,mult(X2,X3)),X2) = mult(mult(X1,X2),rd(X3,X2)),
    inference(spm,[status(thm)],[c_0_16,c_0_11]) ).

cnf(c_0_19,plain,
    mult(X1,ld(mult(X2,X3),X2)) = rd(X1,X3),
    inference(spm,[status(thm)],[c_0_13,c_0_17]) ).

cnf(c_0_20,plain,
    mult(mult(X1,X2),rd(ld(X2,X3),X2)) = rd(mult(X1,X3),X2),
    inference(spm,[status(thm)],[c_0_18,c_0_7]) ).

cnf(c_0_21,plain,
    ld(ld(mult(X1,X2),X1),ld(X2,X2)) = X2,
    inference(spm,[status(thm)],[c_0_8,c_0_15]) ).

cnf(c_0_22,plain,
    rd(X1,ld(X2,X3)) = mult(X1,ld(X3,X2)),
    inference(spm,[status(thm)],[c_0_19,c_0_7]) ).

cnf(c_0_23,plain,
    mult(mult(X1,ld(X2,X2)),X2) = mult(rd(X1,X2),mult(X2,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_19]),c_0_22]),c_0_8]),c_0_22]),c_0_8]) ).

cnf(c_0_24,plain,
    mult(X1,rd(X2,X2)) = mult(X1,ld(X2,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_23]),c_0_18]),c_0_11]) ).

cnf(c_0_25,plain,
    rd(X1,X1) = ld(X1,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_24]),c_0_8]) ).

cnf(c_0_26,plain,
    mult(ld(X1,X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_11,c_0_25]) ).

cnf(c_0_27,plain,
    rd(ld(X1,X1),X1) = ld(mult(X2,X1),X2),
    inference(spm,[status(thm)],[c_0_13,c_0_15]) ).

cnf(c_0_28,plain,
    mult(rd(X1,X2),mult(X2,X2)) = mult(mult(X1,X2),ld(X2,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_26]),c_0_22]),c_0_22]),c_0_7]),c_0_23]) ).

cnf(c_0_29,plain,
    rd(ld(X1,X1),X1) = ld(X1,ld(X1,X1)),
    inference(spm,[status(thm)],[c_0_27,c_0_26]) ).

cnf(c_0_30,plain,
    mult(ld(X1,X1),mult(X1,X1)) = mult(X1,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_7]),c_0_25]) ).

cnf(c_0_31,plain,
    ld(mult(X1,X2),rd(mult(X1,X3),X2)) = rd(ld(X2,X3),X2),
    inference(spm,[status(thm)],[c_0_8,c_0_20]) ).

cnf(c_0_32,plain,
    ld(rd(X1,X2),mult(X3,X2)) = mult(X2,mult(ld(X1,X3),X2)),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_33,plain,
    ld(X1,rd(X1,X2)) = ld(mult(X3,X2),X3),
    inference(spm,[status(thm)],[c_0_8,c_0_19]) ).

cnf(c_0_34,plain,
    mult(ld(X1,ld(X1,X1)),mult(X1,X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_26]),c_0_7]) ).

cnf(c_0_35,plain,
    ld(mult(X1,X1),mult(X1,X1)) = ld(X1,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_30]),c_0_25]) ).

cnf(c_0_36,plain,
    mult(ld(ld(mult(X1,X2),X1),X3),X2) = mult(X2,mult(X3,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_19]),c_0_22]),c_0_8]),c_0_32]),c_0_8]),c_0_22]),c_0_8]) ).

cnf(c_0_37,plain,
    ld(X1,ld(X1,X1)) = ld(mult(X2,X1),X2),
    inference(spm,[status(thm)],[c_0_33,c_0_25]) ).

cnf(c_0_38,plain,
    ld(X1,ld(X1,X1)) = rd(X1,mult(X1,X1)),
    inference(spm,[status(thm)],[c_0_13,c_0_34]) ).

cnf(c_0_39,plain,
    mult(mult(X1,X1),ld(X1,X1)) = mult(X1,X1),
    inference(spm,[status(thm)],[c_0_7,c_0_35]) ).

cnf(c_0_40,plain,
    mult(X1,mult(mult(ld(mult(X2,X1),X2),X3),X1)) = mult(X3,X1),
    inference(spm,[status(thm)],[c_0_36,c_0_8]) ).

cnf(c_0_41,plain,
    rd(X1,mult(X1,X1)) = ld(mult(X2,X1),X2),
    inference(rw,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_42,plain,
    mult(mult(X1,X1),X1) = mult(X1,mult(X1,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_39]),c_0_13]) ).

cnf(c_0_43,plain,
    rd(mult(mult(X1,X2),X3),mult(X3,mult(X2,X3))) = rd(X1,X3),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_44,plain,
    mult(mult(mult(X1,X2),X2),ld(X2,X2)) = mult(X1,mult(X2,X2)),
    inference(spm,[status(thm)],[c_0_28,c_0_13]) ).

cnf(c_0_45,plain,
    mult(mult(ld(mult(X1,X2),X1),X3),X2) = ld(X2,mult(X3,X2)),
    inference(spm,[status(thm)],[c_0_8,c_0_40]) ).

cnf(c_0_46,plain,
    ld(mult(X1,mult(X1,X1)),mult(X1,X1)) = rd(X1,mult(X1,X1)),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_47,plain,
    rd(mult(X1,X2),mult(X2,mult(X3,X2))) = rd(rd(X1,X3),X2),
    inference(spm,[status(thm)],[c_0_43,c_0_11]) ).

cnf(c_0_48,plain,
    mult(mult(X1,mult(X2,X2)),X2) = mult(mult(X1,X2),mult(X2,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_44]),c_0_26]) ).

cnf(c_0_49,plain,
    mult(mult(rd(X1,mult(X1,X1)),X2),X1) = ld(X1,mult(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_42]),c_0_46]) ).

cnf(c_0_50,plain,
    rd(rd(X1,rd(X2,X3)),X3) = rd(mult(X1,X3),mult(X3,X2)),
    inference(spm,[status(thm)],[c_0_47,c_0_11]) ).

cnf(c_0_51,plain,
    ld(rd(X1,X2),X1) = X2,
    inference(spm,[status(thm)],[c_0_8,c_0_11]) ).

cnf(c_0_52,plain,
    mult(mult(rd(X1,mult(X2,X2)),X2),mult(X2,X2)) = mult(X1,X2),
    inference(spm,[status(thm)],[c_0_48,c_0_11]) ).

cnf(c_0_53,plain,
    mult(mult(mult(X1,X2),X1),mult(X1,X1)) = mult(X1,mult(mult(X2,X1),mult(X1,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_14]),c_0_48]),c_0_6]),c_0_48]),c_0_8]) ).

cnf(c_0_54,plain,
    mult(rd(mult(X1,X2),mult(X2,X3)),X2) = rd(X1,rd(X3,X2)),
    inference(spm,[status(thm)],[c_0_11,c_0_50]) ).

cnf(c_0_55,plain,
    ld(ld(mult(X1,X2),X1),X2) = mult(X2,X2),
    inference(spm,[status(thm)],[c_0_51,c_0_41]) ).

cnf(c_0_56,plain,
    rd(mult(X1,X2),mult(X2,X2)) = mult(rd(X1,mult(X2,X2)),X2),
    inference(spm,[status(thm)],[c_0_13,c_0_52]) ).

cnf(c_0_57,plain,
    rd(mult(X1,mult(mult(X2,X1),mult(X1,X1))),X1) = mult(mult(X1,X2),mult(X1,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_53]),c_0_25]),c_0_44]) ).

cnf(c_0_58,plain,
    rd(X1,rd(ld(X2,X3),X2)) = mult(rd(mult(X1,X2),X3),X2),
    inference(spm,[status(thm)],[c_0_54,c_0_7]) ).

cnf(c_0_59,plain,
    mult(X1,ld(X2,rd(X2,X3))) = rd(X1,X3),
    inference(spm,[status(thm)],[c_0_19,c_0_11]) ).

cnf(c_0_60,plain,
    mult(X1,mult(ld(X2,rd(X3,X1)),X1)) = ld(rd(X2,X1),X3),
    inference(spm,[status(thm)],[c_0_32,c_0_11]) ).

cnf(c_0_61,plain,
    rd(ld(mult(X1,X2),X1),X2) = ld(X2,ld(mult(X1,X2),X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_19]),c_0_51]),c_0_19]) ).

cnf(c_0_62,plain,
    mult(rd(rd(X1,X2),mult(X2,X2)),X2) = rd(X1,mult(X2,X2)),
    inference(spm,[status(thm)],[c_0_56,c_0_11]) ).

cnf(c_0_63,plain,
    rd(mult(X1,mult(X2,mult(X1,X1))),X1) = mult(mult(X1,rd(X2,X1)),mult(X1,X1)),
    inference(spm,[status(thm)],[c_0_57,c_0_11]) ).

cnf(c_0_64,plain,
    mult(mult(X1,rd(X2,X3)),X3) = mult(rd(X1,X3),mult(X3,X2)),
    inference(spm,[status(thm)],[c_0_14,c_0_11]) ).

cnf(c_0_65,plain,
    ld(mult(rd(mult(X1,X2),X3),X2),X1) = rd(ld(X2,X3),X2),
    inference(spm,[status(thm)],[c_0_51,c_0_58]) ).

cnf(c_0_66,plain,
    mult(X1,ld(X2,ld(mult(X3,X2),X3))) = rd(X1,mult(X2,X2)),
    inference(spm,[status(thm)],[c_0_59,c_0_41]) ).

cnf(c_0_67,plain,
    rd(rd(rd(X1,X2),X3),X2) = rd(X1,mult(X2,mult(X3,X2))),
    inference(spm,[status(thm)],[c_0_47,c_0_11]) ).

cnf(c_0_68,plain,
    ld(ld(X1,ld(mult(X2,X1),X2)),X3) = mult(X1,mult(X1,X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_36]),c_0_11]),c_0_61]) ).

cnf(c_0_69,plain,
    ld(ld(X1,X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_51,c_0_25]) ).

cnf(c_0_70,plain,
    mult(X1,ld(X2,ld(X2,X2))) = rd(X1,X2),
    inference(spm,[status(thm)],[c_0_59,c_0_25]) ).

cnf(c_0_71,plain,
    rd(mult(X1,mult(X2,mult(X1,X1))),mult(X1,X1)) = mult(ld(X1,X1),mult(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_13]),c_0_64]),c_0_25]) ).

cnf(c_0_72,plain,
    mult(mult(X1,mult(X1,X2)),mult(X1,X1)) = mult(mult(X1,X1),mult(X2,mult(X1,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_66]),c_0_67]),c_0_51]),c_0_22]),c_0_68]),c_0_55]) ).

cnf(c_0_73,plain,
    rd(X1,rd(X2,mult(X2,X2))) = mult(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_38]),c_0_69]) ).

cnf(c_0_74,plain,
    mult(X1,rd(X2,mult(X2,X2))) = rd(X1,X2),
    inference(rw,[status(thm)],[c_0_70,c_0_38]) ).

cnf(c_0_75,plain,
    mult(ld(X1,X1),mult(X1,mult(X1,mult(X1,X2)))) = mult(mult(X1,mult(X1,X1)),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_18]),c_0_13]) ).

cnf(c_0_76,plain,
    mult(ld(rd(X1,mult(X1,X1)),X2),X1) = mult(X1,mult(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_73]),c_0_74]),c_0_32]),c_0_8]),c_0_73]) ).

cnf(c_0_77,plain,
    rd(mult(mult(X1,mult(X1,X1)),X2),X1) = mult(X1,mult(mult(X1,X1),rd(X2,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_75]),c_0_26]),c_0_18]) ).

cnf(c_0_78,plain,
    ld(rd(X1,mult(X1,X1)),X2) = rd(mult(X1,mult(X2,X1)),X1),
    inference(spm,[status(thm)],[c_0_13,c_0_76]) ).

cnf(c_0_79,plain,
    mult(ld(mult(X1,X2),X1),mult(X2,X2)) = X2,
    inference(spm,[status(thm)],[c_0_11,c_0_41]) ).

cnf(c_0_80,plain,
    mult(mult(X1,mult(mult(X1,X1),rd(X2,X1))),X1) = mult(mult(X1,mult(X1,X1)),X2),
    inference(spm,[status(thm)],[c_0_11,c_0_77]) ).

cnf(c_0_81,plain,
    mult(ld(X1,ld(mult(X2,X1),X2)),mult(X1,X3)) = ld(X1,X3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_19]),c_0_61]),c_0_22]),c_0_55]),c_0_79]),c_0_19]),c_0_22]),c_0_8]),c_0_64]),c_0_61]) ).

cnf(c_0_82,plain,
    mult(mult(X1,mult(mult(X1,X1),X2)),X1) = mult(mult(X1,mult(X1,X1)),mult(X2,X1)),
    inference(spm,[status(thm)],[c_0_80,c_0_13]) ).

cnf(c_0_83,plain,
    mult(X1,mult(ld(X1,X2),mult(X3,ld(X1,X2)))) = mult(mult(X2,X3),ld(X1,X2)),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_84,plain,
    ld(mult(mult(X1,X2),X3),mult(X1,mult(X2,mult(X3,X2)))) = X2,
    inference(spm,[status(thm)],[c_0_8,c_0_6]) ).

cnf(c_0_85,plain,
    mult(ld(X1,ld(mult(X2,X1),X2)),X3) = ld(X1,ld(X1,X3)),
    inference(spm,[status(thm)],[c_0_81,c_0_7]) ).

cnf(c_0_86,plain,
    mult(mult(X1,mult(X1,X1)),mult(ld(mult(X1,X1),X2),X1)) = mult(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_82,c_0_7]) ).

cnf(c_0_87,plain,
    ld(X1,mult(mult(X2,X3),ld(X1,X2))) = mult(ld(X1,X2),mult(X3,ld(X1,X2))),
    inference(spm,[status(thm)],[c_0_8,c_0_83]) ).

cnf(c_0_88,plain,
    ld(mult(X1,mult(X1,X1)),mult(X1,mult(X1,mult(X1,X1)))) = X1,
    inference(spm,[status(thm)],[c_0_84,c_0_42]) ).

cnf(c_0_89,plain,
    mult(mult(X1,mult(X1,mult(X1,X1))),X2) = mult(X1,mult(X1,mult(X1,mult(X1,X2)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_66]),c_0_51]),c_0_68]),c_0_68]),c_0_68]) ).

cnf(c_0_90,plain,
    ld(mult(X1,mult(X1,X1)),mult(mult(X1,X2),X1)) = mult(ld(mult(X1,X1),X2),X1),
    inference(spm,[status(thm)],[c_0_8,c_0_86]) ).

cnf(c_0_91,plain,
    mult(ld(mult(X1,X1),mult(X1,mult(X1,mult(X1,X2)))),X1) = mult(X1,mult(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]),c_0_90]) ).

cnf(c_0_92,plain,
    ld(X1,mult(mult(X1,mult(X1,mult(X1,X2))),X1)) = mult(X1,mult(X1,mult(X2,X1))),
    inference(spm,[status(thm)],[c_0_10,c_0_91]) ).

cnf(c_0_93,plain,
    mult(mult(X1,mult(X1,mult(X1,X2))),X1) = mult(X1,mult(X1,mult(X1,mult(X2,X1)))),
    inference(spm,[status(thm)],[c_0_7,c_0_92]) ).

cnf(c_0_94,plain,
    mult(X1,mult(X1,mult(X1,mult(ld(X1,X2),X1)))) = mult(mult(X1,mult(X1,X2)),X1),
    inference(spm,[status(thm)],[c_0_93,c_0_7]) ).

cnf(c_0_95,plain,
    ld(mult(X1,ld(X2,X3)),X1) = ld(X3,X2),
    inference(spm,[status(thm)],[c_0_51,c_0_22]) ).

cnf(c_0_96,plain,
    mult(X1,mult(X1,ld(ld(X1,X1),X2))) = mult(mult(X1,mult(X1,rd(X2,X1))),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_60]),c_0_25]) ).

cnf(c_0_97,plain,
    mult(ld(X1,X1),mult(X1,mult(X2,X1))) = mult(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_14,c_0_25]) ).

cnf(c_0_98,plain,
    ld(mult(X1,X2),X1) = ld(mult(X3,X2),X3),
    inference(spm,[status(thm)],[c_0_95,c_0_8]) ).

cnf(c_0_99,plain,
    mult(ld(X1,X1),ld(X1,X1)) = ld(X1,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_79]),c_0_25]),c_0_15]),c_0_25]) ).

cnf(c_0_100,plain,
    mult(mult(X1,mult(X1,X1)),ld(ld(X1,X1),X2)) = mult(X1,mult(X1,mult(X1,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_96]),c_0_97]),c_0_93]),c_0_11]) ).

cnf(c_0_101,plain,
    rd(ld(X1,mult(X2,X1)),X1) = mult(rd(X1,mult(X1,X1)),X2),
    inference(spm,[status(thm)],[c_0_13,c_0_49]) ).

cnf(c_0_102,plain,
    ld(mult(X1,mult(X2,X2)),mult(mult(X1,X2),X2)) = ld(X2,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_44]),c_0_95]) ).

cnf(c_0_103,plain,
    ld(ld(X1,X1),ld(X1,X1)) = ld(X1,X1),
    inference(spm,[status(thm)],[c_0_8,c_0_99]) ).

cnf(c_0_104,plain,
    mult(X1,mult(X1,mult(X1,mult(ld(X1,X1),X2)))) = mult(mult(X1,mult(X1,X1)),X2),
    inference(spm,[status(thm)],[c_0_100,c_0_8]) ).

cnf(c_0_105,plain,
    ld(mult(ld(mult(X1,X2),mult(X1,X2)),X2),X1) = mult(rd(X2,mult(X2,X2)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_25]),c_0_101]) ).

cnf(c_0_106,plain,
    rd(ld(X1,X2),mult(ld(X1,X2),ld(X1,X2))) = ld(X2,X1),
    inference(spm,[status(thm)],[c_0_95,c_0_41]) ).

cnf(c_0_107,plain,
    rd(rd(X1,X2),rd(X3,X2)) = mult(rd(X1,mult(X2,X3)),X2),
    inference(spm,[status(thm)],[c_0_54,c_0_11]) ).

cnf(c_0_108,plain,
    mult(rd(X1,mult(X1,X1)),rd(X2,X1)) = rd(ld(X1,X2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_36]),c_0_74]),c_0_74]),c_0_51]) ).

cnf(c_0_109,plain,
    mult(ld(X1,rd(X1,X2)),X2) = ld(X2,X2),
    inference(spm,[status(thm)],[c_0_15,c_0_11]) ).

cnf(c_0_110,plain,
    mult(ld(X1,X1),mult(ld(X1,X1),X2)) = ld(ld(X1,X1),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_44]),c_0_102]),c_0_103]) ).

cnf(c_0_111,plain,
    mult(mult(X1,mult(X1,X1)),mult(ld(X1,X1),X2)) = mult(ld(X1,X1),mult(mult(X1,mult(X1,X1)),X2)),
    inference(spm,[status(thm)],[c_0_75,c_0_104]) ).

cnf(c_0_112,plain,
    ld(mult(ld(X1,X1),ld(X2,X1)),X2) = mult(ld(X1,X2),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_7]),c_0_106]) ).

cnf(c_0_113,plain,
    mult(X1,ld(mult(mult(X2,X3),X4),rd(X2,X4))) = rd(X1,mult(X4,mult(X3,X4))),
    inference(spm,[status(thm)],[c_0_19,c_0_14]) ).

cnf(c_0_114,plain,
    ld(rd(X1,X2),rd(X1,X2)) = mult(rd(X1,mult(X2,X1)),X2),
    inference(spm,[status(thm)],[c_0_25,c_0_107]) ).

cnf(c_0_115,plain,
    mult(rd(ld(X1,X2),mult(X1,X2)),X1) = rd(X1,mult(X1,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_108]),c_0_107]) ).

cnf(c_0_116,plain,
    mult(ld(X1,ld(X1,X1)),X1) = ld(X1,X1),
    inference(spm,[status(thm)],[c_0_109,c_0_25]) ).

cnf(c_0_117,plain,
    mult(ld(X1,X1),mult(mult(X1,mult(X1,X1)),X2)) = mult(X1,mult(mult(X1,mult(X1,rd(X2,X1))),X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_110]),c_0_96]),c_0_111]) ).

cnf(c_0_118,plain,
    mult(mult(X1,mult(X2,X1)),mult(mult(X3,X2),X1)) = mult(X1,mult(mult(X2,mult(mult(X1,X3),X2)),X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]),c_0_47]),c_0_32]),c_0_32]),c_0_51]),c_0_32]),c_0_8]) ).

cnf(c_0_119,plain,
    ld(X1,mult(mult(X1,mult(X1,X2)),X1)) = mult(X1,mult(X1,mult(ld(X1,X2),X1))),
    inference(spm,[status(thm)],[c_0_8,c_0_94]) ).

cnf(c_0_120,plain,
    mult(rd(X1,mult(X2,mult(X2,X1))),X2) = rd(X2,mult(X2,X2)),
    inference(spm,[status(thm)],[c_0_115,c_0_8]) ).

cnf(c_0_121,plain,
    mult(rd(X1,mult(X1,X1)),X1) = ld(X1,X1),
    inference(rw,[status(thm)],[c_0_116,c_0_38]) ).

cnf(c_0_122,plain,
    mult(mult(X1,mult(X1,mult(mult(X1,X2),X1))),X1) = mult(X1,mult(mult(X1,mult(X1,mult(X2,X1))),X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_97]),c_0_13]) ).

cnf(c_0_123,plain,
    mult(rd(X1,mult(X1,X1)),mult(X1,mult(X1,X2))) = mult(mult(X1,X1),ld(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_119]),c_0_18]),c_0_13]) ).

cnf(c_0_124,plain,
    mult(rd(X1,mult(X2,mult(X2,X1))),mult(X2,X2)) = ld(X2,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_120]),c_0_121]),c_0_99]) ).

cnf(c_0_125,plain,
    mult(mult(X1,X1),ld(X1,mult(mult(X1,X2),X1))) = mult(X1,mult(X1,mult(X2,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_122]),c_0_8]),c_0_13]),c_0_123]) ).

cnf(c_0_126,plain,
    rd(rd(X1,mult(X1,X1)),X1) = ld(X1,rd(X1,mult(X1,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_74]),c_0_51]),c_0_74]) ).

cnf(c_0_127,plain,
    rd(rd(X1,mult(X2,X2)),X2) = rd(rd(X1,X2),mult(X2,X2)),
    inference(spm,[status(thm)],[c_0_13,c_0_62]) ).

cnf(c_0_128,plain,
    mult(mult(X1,rd(X2,mult(X3,mult(X3,X2)))),mult(X3,X3)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_124]),c_0_39]),c_0_11]) ).

cnf(c_0_129,plain,
    mult(mult(X1,X1),ld(X1,mult(X2,X1))) = mult(X1,mult(X1,mult(ld(X1,X2),X1))),
    inference(spm,[status(thm)],[c_0_125,c_0_7]) ).

cnf(c_0_130,plain,
    rd(rd(ld(X1,X1),X2),X1) = rd(X1,mult(X1,mult(X2,X1))),
    inference(spm,[status(thm)],[c_0_47,c_0_26]) ).

cnf(c_0_131,plain,
    rd(ld(X1,X1),X1) = rd(X1,mult(X1,X1)),
    inference(rw,[status(thm)],[c_0_29,c_0_38]) ).

cnf(c_0_132,plain,
    rd(ld(X1,X1),mult(X1,X1)) = ld(X1,rd(X1,mult(X1,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_127]),c_0_25]) ).

cnf(c_0_133,plain,
    mult(X1,rd(X2,mult(X3,mult(X3,X2)))) = rd(X1,mult(X3,X3)),
    inference(spm,[status(thm)],[c_0_13,c_0_128]) ).

cnf(c_0_134,plain,
    mult(X1,ld(ld(X1,X1),X2)) = mult(mult(X1,X1),ld(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_11]),c_0_60]),c_0_25]) ).

cnf(c_0_135,plain,
    ld(X1,mult(mult(X1,mult(X1,X1)),X2)) = mult(X1,mult(X1,mult(ld(X1,X1),X2))),
    inference(spm,[status(thm)],[c_0_8,c_0_104]) ).

cnf(c_0_136,plain,
    ld(ld(X1,X2),ld(X1,X2)) = mult(ld(X2,X1),ld(X1,X2)),
    inference(spm,[status(thm)],[c_0_15,c_0_7]) ).

cnf(c_0_137,plain,
    ld(X1,rd(X1,mult(X1,X1))) = rd(X1,mult(X1,mult(X1,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_127]),c_0_25]),c_0_132]) ).

cnf(c_0_138,plain,
    ld(ld(mult(X1,X2),X1),rd(X3,X2)) = rd(mult(X2,X3),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_45]),c_0_19]),c_0_19]),c_0_51]) ).

cnf(c_0_139,plain,
    mult(X1,rd(ld(X2,X3),mult(X2,X3))) = rd(X1,mult(X2,X2)),
    inference(spm,[status(thm)],[c_0_133,c_0_7]) ).

cnf(c_0_140,plain,
    rd(X1,mult(rd(X2,X3),rd(X2,X3))) = mult(X1,rd(X3,mult(rd(X2,X3),X2))),
    inference(spm,[status(thm)],[c_0_133,c_0_11]) ).

cnf(c_0_141,plain,
    mult(mult(X1,X1),ld(X1,mult(ld(X1,X1),X2))) = mult(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]),c_0_99]),c_0_110]),c_0_7]),c_0_99]),c_0_99]) ).

cnf(c_0_142,plain,
    rd(X1,rd(X2,mult(X2,mult(X2,X2)))) = mult(X1,mult(X2,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_137]),c_0_51]) ).

cnf(c_0_143,plain,
    mult(mult(X1,ld(X2,X3)),ld(X3,X2)) = X1,
    inference(spm,[status(thm)],[c_0_13,c_0_22]) ).

cnf(c_0_144,plain,
    ld(ld(mult(X1,X2),X1),mult(rd(X2,mult(X2,X2)),X3)) = X3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_101]),c_0_7]),c_0_13]) ).

cnf(c_0_145,plain,
    mult(X1,rd(ld(rd(X2,X3),X3),X2)) = mult(X1,rd(X3,mult(rd(X2,X3),X2))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_11]),c_0_140]) ).

cnf(c_0_146,plain,
    ld(X1,mult(ld(X1,X1),X2)) = ld(mult(X1,X1),mult(X1,X2)),
    inference(spm,[status(thm)],[c_0_8,c_0_141]) ).

cnf(c_0_147,plain,
    mult(rd(X1,mult(X1,mult(X1,X1))),mult(X1,X2)) = ld(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_74]),c_0_127]),c_0_25]),c_0_132]),c_0_137]),c_0_142]),c_0_11]),c_0_74]),c_0_73]),c_0_64]),c_0_127]),c_0_25]),c_0_132]),c_0_137]) ).

cnf(c_0_148,plain,
    ld(rd(X1,mult(X1,mult(X1,X1))),X2) = mult(X1,mult(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_42]),c_0_46]),c_0_137]) ).

cnf(c_0_149,plain,
    rd(X1,mult(X1,mult(X1,X1))) = rd(X2,mult(X1,mult(X1,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_120]),c_0_126]),c_0_137]) ).

cnf(c_0_150,plain,
    mult(ld(ld(X1,X2),X3),ld(X2,X1)) = mult(ld(X2,X1),mult(X3,ld(X2,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_143]),c_0_22]),c_0_6]),c_0_8]),c_0_22]) ).

cnf(c_0_151,plain,
    rd(ld(rd(X1,X2),X2),X1) = rd(X2,mult(rd(X1,X2),X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_144]) ).

cnf(c_0_152,plain,
    ld(mult(ld(X1,X1),X2),X1) = ld(mult(X1,X2),mult(X1,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_146]),c_0_95]) ).

cnf(c_0_153,plain,
    mult(rd(X1,mult(X1,mult(X1,X1))),X2) = ld(X1,ld(X1,X2)),
    inference(spm,[status(thm)],[c_0_147,c_0_7]) ).

cnf(c_0_154,plain,
    mult(rd(X1,mult(X1,X1)),mult(mult(X1,X1),X2)) = rd(mult(X1,mult(X2,X1)),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_52]),c_0_13]),c_0_64]) ).

cnf(c_0_155,plain,
    ld(rd(X1,mult(X2,mult(X2,X1))),X3) = mult(X2,mult(X2,X3)),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_156,plain,
    ld(mult(rd(X1,X2),ld(X3,X1)),X3) = mult(ld(X1,X3),mult(X2,ld(X1,X3))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_7]),c_0_22]),c_0_150]) ).

cnf(c_0_157,plain,
    mult(rd(X1,mult(rd(X2,X1),X2)),X2) = ld(rd(X2,X1),X1),
    inference(spm,[status(thm)],[c_0_11,c_0_151]) ).

cnf(c_0_158,plain,
    ld(ld(X1,X1),mult(X1,X2)) = ld(X1,mult(mult(X1,X1),X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_152]),c_0_10]) ).

cnf(c_0_159,plain,
    mult(rd(X1,mult(X2,mult(X2,X1))),X3) = ld(X2,ld(X2,X3)),
    inference(spm,[status(thm)],[c_0_153,c_0_149]) ).

cnf(c_0_160,plain,
    ld(mult(X1,X1),mult(X1,mult(X1,mult(X1,X2)))) = rd(mult(X1,mult(X2,X1)),X1),
    inference(spm,[status(thm)],[c_0_13,c_0_91]) ).

cnf(c_0_161,plain,
    mult(ld(mult(X1,X2),X1),mult(mult(X2,X2),X3)) = rd(mult(X2,mult(X3,X2)),X2),
    inference(spm,[status(thm)],[c_0_154,c_0_41]) ).

cnf(c_0_162,plain,
    mult(ld(mult(X1,X2),X1),rd(X3,X2)) = rd(ld(X2,X3),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_36]),c_0_19]),c_0_19]),c_0_51]) ).

cnf(c_0_163,plain,
    ld(rd(ld(X1,X2),mult(X1,X2)),X3) = mult(X1,mult(X1,X3)),
    inference(spm,[status(thm)],[c_0_155,c_0_7]) ).

cnf(c_0_164,plain,
    ld(ld(rd(ld(X1,X2),X2),X2),X1) = mult(ld(X2,X1),rd(ld(X1,X2),X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_143]) ).

cnf(c_0_165,plain,
    mult(X1,mult(ld(X2,ld(X1,X1)),X1)) = ld(rd(X2,X1),X1),
    inference(spm,[status(thm)],[c_0_32,c_0_26]) ).

cnf(c_0_166,plain,
    ld(mult(X1,X2),ld(X1,X1)) = ld(mult(mult(X1,X1),X2),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_158]),c_0_95]) ).

cnf(c_0_167,plain,
    rd(ld(X1,mult(X2,mult(X2,mult(X3,X1)))),X1) = ld(ld(X2,ld(X2,X1)),X3),
    inference(spm,[status(thm)],[c_0_65,c_0_159]) ).

cnf(c_0_168,plain,
    mult(X1,mult(X1,mult(ld(mult(X2,X1),X2),X3))) = ld(X1,mult(mult(X1,X1),X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_19]),c_0_61]),c_0_162]),c_0_8]),c_0_13]),c_0_68]),c_0_19]),c_0_162]),c_0_22]),c_0_8]),c_0_11]) ).

cnf(c_0_169,plain,
    mult(ld(mult(X1,X2),rd(X3,X2)),X2) = ld(X2,ld(X1,X3)),
    inference(spm,[status(thm)],[c_0_12,c_0_11]) ).

cnf(c_0_170,plain,
    mult(rd(X1,mult(X1,X1)),ld(ld(mult(X2,X1),X2),X3)) = X3,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_36]),c_0_8]),c_0_13]) ).

cnf(c_0_171,plain,
    rd(X1,mult(X1,mult(X1,X1))) = rd(ld(X1,X2),mult(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_163]),c_0_139]),c_0_74]),c_0_25]),c_0_139]),c_0_132]),c_0_137]) ).

cnf(c_0_172,plain,
    ld(ld(rd(X1,X2),X2),rd(X2,X1)) = mult(ld(X2,rd(X2,X1)),rd(X1,X2)),
    inference(spm,[status(thm)],[c_0_164,c_0_51]) ).

cnf(c_0_173,plain,
    mult(X1,mult(ld(mult(mult(X1,X1),X2),X1),X1)) = ld(rd(mult(X1,X2),X1),X1),
    inference(spm,[status(thm)],[c_0_165,c_0_166]) ).

cnf(c_0_174,plain,
    ld(ld(X1,ld(X1,X2)),ld(mult(X3,X1),X3)) = ld(mult(X1,X2),mult(X1,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_12]),c_0_13]) ).

cnf(c_0_175,plain,
    ld(X1,ld(ld(X1,X1),X2)) = mult(ld(X1,rd(X2,X1)),X1),
    inference(spm,[status(thm)],[c_0_169,c_0_26]) ).

cnf(c_0_176,plain,
    ld(X1,ld(X1,mult(mult(X1,X1),X2))) = mult(X1,mult(rd(X1,mult(X1,X1)),X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_170]),c_0_74]),c_0_127]),c_0_25]),c_0_171]),c_0_142]),c_0_11]),c_0_74]),c_0_127]),c_0_25]),c_0_171]),c_0_78]),c_0_36]),c_0_18]),c_0_13]),c_0_159]) ).

cnf(c_0_177,plain,
    mult(X1,mult(X2,mult(rd(X3,mult(X3,X3)),X2))) = mult(rd(mult(X1,X2),X3),X2),
    inference(spm,[status(thm)],[c_0_6,c_0_74]) ).

cnf(c_0_178,plain,
    ld(ld(X1,X2),rd(X2,mult(X1,X2))) = mult(ld(X2,rd(X2,mult(X1,X2))),X1),
    inference(spm,[status(thm)],[c_0_172,c_0_13]) ).

cnf(c_0_179,plain,
    ld(ld(mult(X1,X2),X1),X3) = rd(mult(X2,mult(X3,X2)),X2),
    inference(spm,[status(thm)],[c_0_78,c_0_41]) ).

cnf(c_0_180,plain,
    ld(ld(X1,mult(X2,X1)),ld(mult(X3,X1),X3)) = ld(mult(mult(X1,X2),X1),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_19]),c_0_61]),c_0_85]),c_0_174]),c_0_19]),c_0_162]),c_0_12]),c_0_13]),c_0_22]),c_0_8]),c_0_45]) ).

cnf(c_0_181,plain,
    mult(ld(X1,rd(mult(X1,X2),X1)),X1) = mult(X1,mult(rd(X1,mult(X1,X1)),X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_158]),c_0_176]) ).

cnf(c_0_182,plain,
    mult(ld(mult(X1,X1),mult(X1,mult(X1,X2))),X1) = mult(X1,mult(ld(X1,X2),X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_119]),c_0_8]) ).

cnf(c_0_183,plain,
    mult(mult(X1,mult(X1,rd(X1,X2))),X1) = mult(X1,mult(rd(mult(X1,X1),X2),X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_74]),c_0_177]) ).

cnf(c_0_184,plain,
    mult(ld(X1,X2),mult(ld(X2,rd(X2,mult(X1,X2))),X1)) = rd(X2,mult(X1,X2)),
    inference(spm,[status(thm)],[c_0_7,c_0_178]) ).

cnf(c_0_185,plain,
    mult(mult(ld(X1,X2),X2),ld(X2,X1)) = ld(ld(X2,X1),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_7]),c_0_95]),c_0_22]) ).

cnf(c_0_186,plain,
    ld(mult(rd(X1,mult(X1,X1)),X2),ld(mult(X3,X1),X3)) = ld(mult(X1,X2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_8]),c_0_7]),c_0_11]) ).

cnf(c_0_187,plain,
    rd(mult(rd(X1,X2),X3),X2) = mult(X1,rd(ld(X2,X3),X2)),
    inference(spm,[status(thm)],[c_0_20,c_0_11]) ).

cnf(c_0_188,plain,
    mult(X1,mult(ld(X1,ld(X1,X2)),X1)) = mult(ld(mult(X1,X1),mult(X1,X2)),X1),
    inference(spm,[status(thm)],[c_0_182,c_0_7]) ).

cnf(c_0_189,plain,
    rd(mult(X1,mult(rd(mult(X1,X1),X2),X1)),X1) = mult(X1,mult(X1,rd(X1,X2))),
    inference(spm,[status(thm)],[c_0_13,c_0_183]) ).

cnf(c_0_190,plain,
    rd(X1,mult(X1,mult(X1,X1))) = ld(mult(X2,mult(X1,X1)),X2),
    inference(spm,[status(thm)],[c_0_33,c_0_137]) ).

cnf(c_0_191,plain,
    mult(ld(X1,X2),mult(ld(mult(X3,mult(X1,X2)),X3),X1)) = rd(X2,mult(X1,X2)),
    inference(spm,[status(thm)],[c_0_184,c_0_33]) ).

cnf(c_0_192,plain,
    ld(X1,mult(rd(X2,mult(X2,X2)),X1)) = mult(rd(ld(mult(X2,X1),X2),X2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_19]),c_0_144]),c_0_144]) ).

cnf(c_0_193,plain,
    rd(X1,mult(X2,mult(rd(X3,mult(X3,X3)),X2))) = mult(X1,rd(ld(X2,X3),X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_73]),c_0_187]) ).

cnf(c_0_194,plain,
    mult(ld(mult(X1,X2),X1),mult(X2,mult(X3,X2))) = mult(mult(ld(X2,X2),X3),X2),
    inference(spm,[status(thm)],[c_0_6,c_0_15]) ).

cnf(c_0_195,plain,
    ld(X1,mult(ld(mult(X1,X1),mult(X1,X2)),X1)) = mult(ld(X1,ld(X1,X2)),X1),
    inference(spm,[status(thm)],[c_0_8,c_0_188]) ).

cnf(c_0_196,plain,
    mult(X1,mult(X1,rd(X1,mult(X1,mult(X2,X1))))) = rd(mult(X1,rd(X1,X2)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_47]),c_0_11]) ).

cnf(c_0_197,plain,
    ld(ld(mult(X1,mult(X2,X2)),X1),X3) = mult(X2,mult(X2,X3)),
    inference(spm,[status(thm)],[c_0_148,c_0_190]) ).

cnf(c_0_198,plain,
    mult(mult(rd(ld(mult(X1,X2),X1),X1),X2),ld(X2,X1)) = rd(ld(X1,X1),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_177]),c_0_192]),c_0_65]),c_0_11]),c_0_193]),c_0_20]),c_0_121]) ).

cnf(c_0_199,plain,
    ld(X1,mult(mult(X1,mult(X2,X1)),X1)) = mult(mult(mult(ld(X1,X1),X2),X1),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_194]),c_0_8]),c_0_8]) ).

cnf(c_0_200,plain,
    mult(ld(X1,rd(X1,mult(X1,mult(X2,X1)))),X1) = ld(X1,ld(X1,rd(X1,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_31]),c_0_11]),c_0_8]) ).

cnf(c_0_201,plain,
    mult(rd(X1,mult(X2,mult(X3,X2))),X2) = rd(rd(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_11,c_0_67]) ).

cnf(c_0_202,plain,
    mult(X1,ld(X2,ld(mult(X3,mult(X4,X4)),X3))) = rd(X1,mult(X4,mult(X4,X2))),
    inference(spm,[status(thm)],[c_0_22,c_0_197]) ).

cnf(c_0_203,plain,
    mult(rd(ld(X1,X1),X2),ld(X1,X2)) = mult(rd(ld(mult(X1,X2),X1),X1),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_198]),c_0_22]) ).

cnf(c_0_204,plain,
    ld(rd(ld(X1,X2),X1),ld(mult(X3,X1),X3)) = ld(mult(X1,rd(X2,X1)),X1),
    inference(spm,[status(thm)],[c_0_186,c_0_108]) ).

cnf(c_0_205,plain,
    ld(X1,mult(ld(X1,rd(X1,X2)),X1)) = mult(rd(rd(X1,mult(X1,X1)),X2),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_7]),c_0_59]),c_0_201]),c_0_29]),c_0_38]) ).

cnf(c_0_206,plain,
    rd(X1,mult(X2,rd(X2,mult(X3,X3)))) = mult(X1,mult(X3,rd(X3,mult(X2,X2)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_163]),c_0_19]),c_0_139]) ).

cnf(c_0_207,plain,
    rd(mult(mult(rd(ld(X1,X2),X2),X1),X1),rd(X2,X1)) = rd(mult(X1,X1),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_114]),c_0_7]),c_0_22]),c_0_8]),c_0_19]),c_0_19]),c_0_51]),c_0_58]),c_0_19]),c_0_13]) ).

cnf(c_0_208,plain,
    mult(X1,ld(mult(X1,X1),mult(X1,X2))) = mult(ld(X1,X1),X2),
    inference(spm,[status(thm)],[c_0_7,c_0_146]) ).

cnf(c_0_209,plain,
    mult(X1,mult(rd(rd(X1,mult(X1,X1)),X2),X1)) = mult(ld(X1,rd(X1,X2)),X1),
    inference(spm,[status(thm)],[c_0_7,c_0_205]) ).

cnf(c_0_210,plain,
    mult(mult(X1,mult(X2,rd(X2,mult(X3,X3)))),mult(X3,rd(X3,mult(X2,X2)))) = X1,
    inference(spm,[status(thm)],[c_0_13,c_0_206]) ).

cnf(c_0_211,plain,
    mult(mult(rd(ld(X1,X2),X2),X1),X1) = mult(rd(mult(X1,X1),X2),rd(X2,X1)),
    inference(spm,[status(thm)],[c_0_11,c_0_207]) ).

cnf(c_0_212,plain,
    mult(ld(X1,X1),ld(X1,X2)) = mult(X1,ld(mult(X1,X1),X2)),
    inference(spm,[status(thm)],[c_0_208,c_0_7]) ).

cnf(c_0_213,plain,
    mult(X1,rd(rd(X1,mult(X1,mult(X1,X1))),X2)) = ld(X1,ld(X1,rd(X1,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_201]),c_0_127]),c_0_25]),c_0_171]),c_0_200]) ).

cnf(c_0_214,plain,
    mult(X1,rd(X2,mult(X2,mult(X2,X2)))) = rd(X1,mult(X2,X2)),
    inference(spm,[status(thm)],[c_0_59,c_0_137]) ).

cnf(c_0_215,plain,
    mult(rd(ld(X1,X1),X2),mult(X2,ld(X1,X1))) = rd(ld(ld(X1,X1),X2),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_74]),c_0_25]),c_0_74]),c_0_25]),c_0_212]),c_0_19]),c_0_25]),c_0_74]),c_0_25]),c_0_22]),c_0_74]),c_0_25]) ).

cnf(c_0_216,plain,
    mult(mult(X1,X2),mult(rd(X2,mult(X2,X2)),X3)) = rd(mult(X1,mult(X3,X2)),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_73]),c_0_74]),c_0_73]) ).

cnf(c_0_217,plain,
    mult(ld(X1,ld(X1,rd(X1,X2))),X2) = mult(rd(X1,X2),rd(X2,mult(X1,X1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_213]),c_0_214]) ).

cnf(c_0_218,plain,
    mult(ld(mult(X1,X2),ld(mult(X3,X2),X3)),X2) = ld(X2,ld(X1,ld(X2,X2))),
    inference(spm,[status(thm)],[c_0_12,c_0_15]) ).

cnf(c_0_219,plain,
    mult(X1,mult(mult(rd(X2,mult(X1,X2)),X1),X1)) = ld(rd(rd(X2,X1),X1),X2),
    inference(spm,[status(thm)],[c_0_60,c_0_114]) ).

cnf(c_0_220,plain,
    mult(ld(ld(X1,X1),rd(X2,mult(X2,X2))),X2) = rd(ld(ld(X1,X1),X2),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_73]),c_0_216]),c_0_110]),c_0_73]) ).

cnf(c_0_221,plain,
    mult(X1,rd(X2,mult(mult(X1,X2),mult(X1,X2)))) = ld(X2,ld(X1,ld(X2,X2))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_13]),c_0_218]) ).

cnf(c_0_222,plain,
    mult(ld(X1,X1),rd(X2,mult(ld(X1,X1),X2))) = ld(X2,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_143]),c_0_22]),c_0_22]),c_0_143]) ).

cnf(c_0_223,plain,
    mult(mult(X1,mult(X2,X2)),ld(X2,X2)) = mult(mult(X1,X2),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_44]),c_0_22]) ).

cnf(c_0_224,plain,
    rd(rd(ld(ld(X1,X1),X2),X2),X2) = ld(ld(X1,X1),rd(X2,mult(X2,X2))),
    inference(spm,[status(thm)],[c_0_13,c_0_220]) ).

cnf(c_0_225,plain,
    ld(X1,ld(X2,ld(X1,ld(X2,X2)))) = rd(X2,mult(mult(X1,X2),mult(X1,X2))),
    inference(spm,[status(thm)],[c_0_8,c_0_221]) ).

cnf(c_0_226,plain,
    ld(ld(X1,X1),ld(X2,X2)) = rd(X2,mult(ld(X1,X1),X2)),
    inference(spm,[status(thm)],[c_0_8,c_0_222]) ).

cnf(c_0_227,plain,
    mult(mult(rd(X1,mult(X2,X2)),X2),X2) = mult(X1,ld(X2,X2)),
    inference(spm,[status(thm)],[c_0_223,c_0_11]) ).

cnf(c_0_228,plain,
    rd(ld(X1,rd(X1,X2)),X2) = ld(X2,ld(X1,rd(X1,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_59]),c_0_51]),c_0_59]) ).

cnf(c_0_229,plain,
    ld(ld(X1,rd(X1,X2)),X2) = mult(X2,X2),
    inference(spm,[status(thm)],[c_0_55,c_0_11]) ).

cnf(c_0_230,plain,
    mult(ld(X1,rd(X1,X2)),mult(X2,X2)) = X2,
    inference(spm,[status(thm)],[c_0_79,c_0_11]) ).

cnf(c_0_231,plain,
    mult(X1,ld(mult(ld(X2,X2),X1),mult(ld(X2,X2),X1))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_226]),c_0_22]),c_0_51]),c_0_226]),c_0_22]),c_0_51]),c_0_227]),c_0_226]),c_0_226]),c_0_226]),c_0_59]),c_0_228]),c_0_22]),c_0_229]),c_0_230]),c_0_8]) ).

cnf(c_0_232,plain,
    mult(mult(X1,mult(X2,ld(X1,X3))),ld(X3,X1)) = mult(X3,mult(ld(X3,X1),X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_7]),c_0_106]),c_0_22]) ).

cnf(c_0_233,plain,
    mult(ld(X1,X1),ld(X2,X2)) = ld(X2,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_231]),c_0_212]),c_0_19]),c_0_25]),c_0_12]),c_0_143]),c_0_103]) ).

cnf(c_0_234,negated_conjecture,
    tuple(mult(X1,x1(X1)),mult(x1_2(X1),X1)) != tuple(x1(X1),x1_2(X1)),
    inference(fof_simplification,[status(thm)],[goal]) ).

cnf(c_0_235,plain,
    mult(X1,ld(X2,X2)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_7]),c_0_7]),c_0_233]) ).

cnf(c_0_236,negated_conjecture,
    tuple(mult(X1,x1(X1)),mult(x1_2(X1),X1)) != tuple(x1(X1),x1_2(X1)),
    c_0_234 ).

cnf(c_0_237,plain,
    mult(ld(X1,X1),X2) = X2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_235]),c_0_235]),c_0_51]),c_0_22]),c_0_150]),c_0_235]) ).

cnf(c_0_238,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_235])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : GRP655-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.58  % Computer : n007.cluster.edu
% 0.19/0.58  % Model    : x86_64 x86_64
% 0.19/0.58  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.58  % Memory   : 8046.5625MB
% 0.19/0.58  % OS       : Linux 6.8.0-71-generic
% 0.19/0.58  % CPULimit : 300
% 0.19/0.58  % WCLimit  : 300
% 0.19/0.58  % DateTime : Sun Sep 20 20:26:50 UTC 2026
% 0.19/0.58  % CPUTime  : 
% 0.19/0.58  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.64  Running first-order theorem proving
% 0.22/0.65  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 199.94/29.62  % Version: 3.5.1
% 199.94/29.62  % Preprocessing class: FSSSSMSSSSSNFFN.
% 199.94/29.62  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 199.94/29.62  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 199.94/29.62  % Starting new_bool_3 with 300s (1) cores
% 199.94/29.62  % Starting new_bool_1 with 300s (1) cores
% 199.94/29.62  % Starting sh5l with 300s (1) cores
% 199.94/29.62  % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3535012 completed with status 0
% 199.94/29.62  % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 199.94/29.62  % Preprocessing class: FSSSSMSSSSSNFFN.
% 199.94/29.62  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 199.94/29.62  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 199.94/29.62  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 199.94/29.62  % No SInE strategy applied
% 199.94/29.62  % Search class: FUUPM-FFSF21-MFFFFFNN
% 199.94/29.62  % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 199.94/29.62  % Starting SubtermCWHack with 136s (1) cores
% 199.94/29.62  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 199.94/29.62  % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 136s (1) cores
% 199.94/29.62  % Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 199.94/29.62  % Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 199.94/29.62  % G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with pid 3535019 completed with status 0
% 199.94/29.62  % Result found by G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y
% 199.94/29.62  % Preprocessing class: FSSSSMSSSSSNFFN.
% 199.94/29.62  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 199.94/29.62  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 199.94/29.62  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 199.94/29.62  % No SInE strategy applied
% 199.94/29.62  % Search class: FUUPM-FFSF21-MFFFFFNN
% 199.94/29.62  % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 199.94/29.62  % Starting SubtermCWHack with 136s (1) cores
% 199.94/29.62  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 199.94/29.62  % Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 136s (1) cores
% 199.94/29.62  % Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 199.94/29.62  % Preprocessing time       : 0.001 s
% 199.94/29.62  
% 199.94/29.62  % Proof found!
% 199.94/29.62  % SZS status Unsatisfiable
% 199.94/29.62  % SZS output start CNFRefutation
% See solution above
% 199.94/29.62  % Parsed axioms                        : 6
% 199.94/29.62  % Removed by relevancy pruning/SinE    : 0
% 199.94/29.62  % Initial clauses                      : 6
% 199.94/29.62  % Removed in clause preprocessing      : 0
% 199.94/29.62  % Initial clauses in saturation        : 6
% 199.94/29.62  % Processed clauses                    : 22773
% 199.94/29.62  % ...of these trivial                  : 10545
% 199.94/29.62  % ...subsumed                          : 10483
% 199.94/29.62  % ...remaining for further processing  : 1745
% 199.94/29.62  % Other redundant clauses eliminated   : 0
% 199.94/29.62  % Clauses deleted for lack of memory   : 0
% 199.94/29.62  % Backward-subsumed                    : 6
% 199.94/29.62  % Backward-rewritten                   : 486
% 199.94/29.62  % Generated clauses                    : 1280561
% 199.94/29.62  % ...of the previous two non-redundant : 1100906
% 199.94/29.62  % ...aggressively subsumed             : 0
% 199.94/29.62  % Contextual simplify-reflections      : 0
% 199.94/29.62  % Paramodulations                      : 1280561
% 199.94/29.62  % Factorizations                       : 0
% 199.94/29.62  % NegExts                              : 0
% 199.94/29.62  % Equation resolutions                 : 0
% 199.94/29.62  % Disequality decompositions           : 0
% 199.94/29.62  % Total rewrite steps                  : 4242512
% 199.94/29.62  % ...of those cached                   : 3982816
% 199.94/29.62  % Propositional unsat checks           : 0
% 199.94/29.62  %    Propositional check models        : 0
% 199.94/29.62  %    Propositional check unsatisfiable : 0
% 199.94/29.62  %    Propositional clauses             : 0
% 199.94/29.62  %    Propositional clauses after purity: 0
% 199.94/29.62  %    Propositional unsat core size     : 0
% 199.94/29.62  %    Propositional preprocessing time  : 0.000
% 199.94/29.62  %    Propositional encoding time       : 0.000
% 199.94/29.62  %    Propositional solver time         : 0.000
% 199.94/29.62  %    Success case prop preproc time    : 0.000
% 199.94/29.62  %    Success case prop encoding time   : 0.000
% 199.94/29.62  %    Success case prop solver time     : 0.000
% 199.94/29.62  % Current number of processed clauses  : 1253
% 199.94/29.62  %    Positive orientable unit clauses  : 1221
% 199.94/29.62  %    Positive unorientable unit clauses: 31
% 199.94/29.62  %    Negative unit clauses             : 1
% 199.94/29.62  %    Non-unit-clauses                  : 0
% 199.94/29.62  % Current number of unprocessed clauses: 1075341
% 199.94/29.62  % ...number of literals in the above   : 1075341
% 199.94/29.62  % Current number of archived formulas  : 0
% 199.94/29.62  % Current number of archived clauses   : 492
% 199.94/29.62  % Clause-clause subsumption calls (NU) : 0
% 199.94/29.62  % Rec. Clause-clause subsumption calls : 0
% 199.94/29.62  % Non-unit clause-clause subsumptions  : 0
% 199.94/29.62  % Unit Clause-clause subsumption calls : 465
% 199.94/29.62  % Rewrite failures with RHS unbound    : 3993
% 199.94/29.62  % BW rewrite match attempts            : 18463
% 199.94/29.62  % BW rewrite match successes           : 593
% 199.94/29.62  % Condensation attempts                : 22773
% 199.94/29.62  % Condensation successes               : 0
% 199.94/29.62  % Termbank termtop insertions          : 31325958
% 199.94/29.62  % Search garbage collected termcells   : 2
% 199.94/29.62  
% 199.94/29.62  % -------------------------------------------------
% 199.94/29.62  % User time                : 27.832 s
% 199.94/29.62  % System time              : 0.808 s
% 199.94/29.62  % Total time               : 28.640 s
% 199.94/29.62  % Maximum resident set size: 3632 pages
% 199.94/29.62  
% 199.94/29.62  % -------------------------------------------------
% 199.94/29.62  % User time                : 138.543 s
% 199.94/29.62  % System time              : 3.349 s
% 199.94/29.62  % Total time               : 141.892 s
% 199.94/29.62  % Maximum resident set size: 4608 pages
% 199.94/29.62  % E exiting
%------------------------------------------------------------------------------