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

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : GRP706-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/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 12:44:59 PM UTC 2026

% Result   : Unsatisfiable 109.95s 22.81s
% Output   : CNFRefutation 109.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   46
%            Number of leaves      :    8
% Syntax   : Number of clauses     :  171 ( 171 unt;   0 nHn;   7 RR)
%            Number of literals    :  171 ( 170 equ;   6 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :  502 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c06,axiom,
    mult(mult(X1,X2),X3) = mult(mult(X1,rd(X3,X3)),mult(X2,X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).

cnf(c03,axiom,
    mult(rd(X1,X2),X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).

cnf(c04,axiom,
    rd(mult(X1,X2),X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).

cnf(c05,axiom,
    mult(X1,mult(X2,X3)) = mult(mult(X1,X2),mult(ld(X1,X1),X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).

cnf(c01,axiom,
    mult(X1,ld(X1,X2)) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).

cnf(c02,axiom,
    ld(X1,mult(X1,X2)) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).

cnf(goals,negated_conjecture,
    f(a,f(b,f(a,c))) != f(f(f(a,b),a),c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

cnf(c07,axiom,
    f(X1,X2) = mult(rd(X1,op_c),ld(op_c,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).

cnf(c_0_8,axiom,
    mult(mult(X1,X2),X3) = mult(mult(X1,rd(X3,X3)),mult(X2,X3)),
    c06 ).

cnf(c_0_9,axiom,
    mult(rd(X1,X2),X2) = X1,
    c03 ).

cnf(c_0_10,axiom,
    rd(mult(X1,X2),X2) = X1,
    c04 ).

cnf(c_0_11,plain,
    mult(mult(rd(X1,rd(X2,X2)),X3),X2) = mult(X1,mult(X3,X2)),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,plain,
    mult(rd(X1,rd(X2,X2)),X3) = rd(mult(X1,mult(X3,X2)),X2),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,axiom,
    mult(X1,mult(X2,X3)) = mult(mult(X1,X2),mult(ld(X1,X1),X3)),
    c05 ).

cnf(c_0_14,axiom,
    mult(X1,ld(X1,X2)) = X2,
    c01 ).

cnf(c_0_15,axiom,
    ld(X1,mult(X1,X2)) = X2,
    c02 ).

cnf(c_0_16,plain,
    rd(mult(mult(X1,X2),X3),mult(X2,X3)) = mult(X1,rd(X3,X3)),
    inference(spm,[status(thm)],[c_0_10,c_0_8]) ).

cnf(c_0_17,plain,
    rd(rd(mult(X1,mult(X2,X3)),X3),X2) = rd(X1,rd(X3,X3)),
    inference(spm,[status(thm)],[c_0_10,c_0_12]) ).

cnf(c_0_18,plain,
    mult(X1,mult(X2,ld(ld(X1,X1),X3))) = mult(mult(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,plain,
    ld(rd(X1,X2),X1) = X2,
    inference(spm,[status(thm)],[c_0_15,c_0_9]) ).

cnf(c_0_20,plain,
    rd(mult(X1,X2),mult(ld(X3,X1),X2)) = mult(X3,rd(X2,X2)),
    inference(spm,[status(thm)],[c_0_16,c_0_14]) ).

cnf(c_0_21,plain,
    rd(rd(mult(X1,X2),X3),rd(X2,X3)) = rd(X1,rd(X3,X3)),
    inference(spm,[status(thm)],[c_0_17,c_0_9]) ).

cnf(c_0_22,plain,
    mult(X1,ld(ld(X2,X2),X3)) = ld(X2,mult(mult(X2,X1),X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_18]) ).

cnf(c_0_23,plain,
    ld(mult(X1,rd(X2,X2)),mult(X3,X2)) = mult(ld(X1,X3),X2),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,plain,
    rd(rd(X1,X2),rd(ld(X3,X1),X2)) = rd(X3,rd(X2,X2)),
    inference(spm,[status(thm)],[c_0_21,c_0_14]) ).

cnf(c_0_25,plain,
    ld(X1,ld(X2,mult(mult(X2,X1),X3))) = ld(ld(X2,X2),X3),
    inference(spm,[status(thm)],[c_0_15,c_0_22]) ).

cnf(c_0_26,plain,
    ld(mult(X1,X2),mult(X1,mult(X2,X3))) = mult(ld(X1,X1),X3),
    inference(spm,[status(thm)],[c_0_15,c_0_13]) ).

cnf(c_0_27,plain,
    ld(mult(X1,rd(X2,X2)),X3) = mult(ld(X1,rd(X3,X2)),X2),
    inference(spm,[status(thm)],[c_0_23,c_0_9]) ).

cnf(c_0_28,plain,
    ld(rd(X1,rd(X2,X2)),rd(X3,X2)) = rd(ld(X1,X3),X2),
    inference(spm,[status(thm)],[c_0_19,c_0_24]) ).

cnf(c_0_29,plain,
    rd(X1,rd(ld(X2,mult(X1,X3)),X3)) = rd(X2,rd(X3,X3)),
    inference(spm,[status(thm)],[c_0_24,c_0_10]) ).

cnf(c_0_30,plain,
    ld(ld(X1,X2),ld(X1,mult(X2,X3))) = ld(ld(X1,X1),X3),
    inference(spm,[status(thm)],[c_0_25,c_0_14]) ).

cnf(c_0_31,plain,
    mult(ld(X1,rd(mult(X1,mult(rd(X2,X2),X3)),X2)),X2) = mult(ld(X1,X1),X3),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_32,plain,
    ld(rd(X1,rd(X2,X2)),X3) = rd(ld(X1,mult(X3,X2)),X2),
    inference(spm,[status(thm)],[c_0_28,c_0_10]) ).

cnf(c_0_33,plain,
    rd(rd(mult(X1,X2),X3),rd(X2,X2)) = rd(X1,rd(X3,X2)),
    inference(spm,[status(thm)],[c_0_29,c_0_19]) ).

cnf(c_0_34,plain,
    ld(ld(X1,rd(X2,X3)),ld(X1,X2)) = ld(ld(X1,X1),X3),
    inference(spm,[status(thm)],[c_0_30,c_0_9]) ).

cnf(c_0_35,plain,
    ld(X1,rd(mult(X1,mult(rd(X2,X2),X3)),X2)) = rd(mult(ld(X1,X1),X3),X2),
    inference(spm,[status(thm)],[c_0_10,c_0_31]) ).

cnf(c_0_36,plain,
    rd(ld(rd(mult(X1,X2),X3),mult(X4,X2)),X2) = ld(rd(X1,rd(X3,X2)),X4),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_37,plain,
    ld(rd(mult(ld(X1,X1),X2),X3),mult(rd(X3,X3),X2)) = ld(ld(X1,X1),X3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_15]) ).

cnf(c_0_38,plain,
    mult(ld(X1,X1),ld(X2,X3)) = ld(mult(X1,X2),mult(X1,X3)),
    inference(spm,[status(thm)],[c_0_26,c_0_14]) ).

cnf(c_0_39,plain,
    ld(rd(ld(X1,X1),rd(X2,X3)),rd(X2,X2)) = rd(ld(ld(X1,X1),X2),X3),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_40,plain,
    rd(X1,ld(X2,X1)) = X2,
    inference(spm,[status(thm)],[c_0_10,c_0_14]) ).

cnf(c_0_41,plain,
    rd(ld(mult(X1,X2),mult(X1,X3)),ld(X2,X3)) = ld(X1,X1),
    inference(spm,[status(thm)],[c_0_10,c_0_38]) ).

cnf(c_0_42,plain,
    rd(ld(ld(X1,X1),X2),ld(X3,X2)) = ld(rd(ld(X1,X1),X3),rd(X2,X2)),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_43,plain,
    rd(ld(mult(rd(X1,X2),X3),X1),ld(X3,X2)) = ld(rd(X1,X2),rd(X1,X2)),
    inference(spm,[status(thm)],[c_0_41,c_0_9]) ).

cnf(c_0_44,plain,
    mult(rd(X1,X2),rd(X3,X3)) = rd(mult(X1,X3),mult(X2,X3)),
    inference(spm,[status(thm)],[c_0_16,c_0_9]) ).

cnf(c_0_45,plain,
    mult(ld(rd(ld(X1,X1),X2),rd(X3,X3)),ld(X2,X3)) = ld(ld(X1,X1),X3),
    inference(spm,[status(thm)],[c_0_9,c_0_42]) ).

cnf(c_0_46,plain,
    rd(ld(X1,X1),ld(X2,X2)) = ld(rd(X1,X2),rd(X1,X2)),
    inference(spm,[status(thm)],[c_0_43,c_0_9]) ).

cnf(c_0_47,plain,
    ld(ld(rd(X1,X2),rd(X1,X2)),X3) = ld(X2,ld(rd(X1,X2),mult(X1,X3))),
    inference(spm,[status(thm)],[c_0_25,c_0_9]) ).

cnf(c_0_48,plain,
    mult(ld(rd(X1,X2),rd(X3,X4)),X4) = ld(rd(mult(X1,X4),mult(X2,X4)),X3),
    inference(spm,[status(thm)],[c_0_27,c_0_44]) ).

cnf(c_0_49,plain,
    ld(rd(X1,rd(X2,X3)),rd(mult(X1,X3),X2)) = rd(X3,X3),
    inference(spm,[status(thm)],[c_0_19,c_0_33]) ).

cnf(c_0_50,plain,
    ld(X1,mult(ld(rd(X2,X1),mult(X2,rd(X3,X3))),X3)) = ld(ld(X2,X2),X3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_45]),c_0_46]),c_0_47]),c_0_14]) ).

cnf(c_0_51,plain,
    ld(rd(mult(X1,X2),mult(rd(X2,X3),X2)),mult(X1,X3)) = mult(rd(X3,X3),X2),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_52,plain,
    mult(ld(rd(X1,X2),mult(X1,rd(X3,X3))),X3) = ld(X1,mult(mult(X1,X2),X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_50]),c_0_22]) ).

cnf(c_0_53,plain,
    ld(mult(X1,rd(X2,X3)),mult(X1,X2)) = mult(ld(X1,X1),X3),
    inference(spm,[status(thm)],[c_0_26,c_0_9]) ).

cnf(c_0_54,plain,
    ld(rd(mult(rd(X1,X2),X3),mult(rd(X3,X2),X3)),X1) = mult(rd(X2,X2),X3),
    inference(spm,[status(thm)],[c_0_51,c_0_9]) ).

cnf(c_0_55,plain,
    ld(rd(X1,X2),mult(X1,rd(X3,X3))) = rd(ld(X1,mult(mult(X1,X2),X3)),X3),
    inference(spm,[status(thm)],[c_0_10,c_0_52]) ).

cnf(c_0_56,plain,
    ld(X1,mult(mult(X1,rd(mult(ld(X1,X1),X2),X3)),X3)) = mult(rd(X3,X3),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_37]),c_0_22]) ).

cnf(c_0_57,plain,
    rd(mult(rd(mult(X1,X2),X3),mult(X4,X2)),X2) = mult(rd(X1,rd(X3,X2)),X4),
    inference(spm,[status(thm)],[c_0_12,c_0_33]) ).

cnf(c_0_58,plain,
    rd(mult(X1,X2),mult(ld(X1,X1),X3)) = mult(X1,rd(X2,X3)),
    inference(spm,[status(thm)],[c_0_40,c_0_53]) ).

cnf(c_0_59,plain,
    rd(mult(rd(X1,X2),X3),mult(rd(X3,X2),X3)) = rd(X1,mult(rd(X2,X2),X3)),
    inference(spm,[status(thm)],[c_0_40,c_0_54]) ).

cnf(c_0_60,plain,
    mult(rd(X1,X2),rd(ld(X1,mult(mult(X1,X2),X3)),X3)) = mult(X1,rd(X3,X3)),
    inference(spm,[status(thm)],[c_0_14,c_0_55]) ).

cnf(c_0_61,plain,
    mult(mult(X1,rd(mult(ld(X1,X1),X2),X3)),X3) = mult(X1,mult(rd(X3,X3),X2)),
    inference(spm,[status(thm)],[c_0_14,c_0_56]) ).

cnf(c_0_62,plain,
    mult(rd(X1,rd(X2,X3)),rd(X4,X3)) = rd(mult(rd(mult(X1,X3),X2),X4),X3),
    inference(spm,[status(thm)],[c_0_57,c_0_9]) ).

cnf(c_0_63,plain,
    rd(X1,mult(ld(X2,X2),X3)) = mult(X2,rd(ld(X2,X1),X3)),
    inference(spm,[status(thm)],[c_0_58,c_0_14]) ).

cnf(c_0_64,plain,
    rd(rd(X1,X2),rd(X3,X2)) = rd(rd(X1,X3),rd(X2,X2)),
    inference(spm,[status(thm)],[c_0_21,c_0_9]) ).

cnf(c_0_65,plain,
    mult(rd(X1,mult(rd(X2,X2),X3)),mult(rd(X3,X2),X3)) = mult(rd(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_9,c_0_59]) ).

cnf(c_0_66,plain,
    rd(mult(mult(X1,rd(X2,X3)),mult(rd(X2,X2),X3)),X2) = mult(X1,rd(X2,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_15]),c_0_62]),c_0_63]),c_0_15]) ).

cnf(c_0_67,plain,
    mult(rd(rd(X1,X2),rd(X3,X2)),X4) = rd(mult(rd(X1,X3),mult(X4,X2)),X2),
    inference(spm,[status(thm)],[c_0_12,c_0_64]) ).

cnf(c_0_68,plain,
    mult(rd(mult(X1,mult(rd(X2,X2),X3)),X2),X3) = mult(X1,mult(rd(X3,X2),X3)),
    inference(spm,[status(thm)],[c_0_65,c_0_10]) ).

cnf(c_0_69,plain,
    rd(mult(X1,mult(rd(X2,X2),X3)),X2) = rd(mult(X1,X2),mult(rd(X2,X3),X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_9]),c_0_44]) ).

cnf(c_0_70,plain,
    rd(mult(rd(X1,mult(X2,X3)),mult(X4,X3)),X3) = mult(rd(rd(X1,X3),X2),X4),
    inference(spm,[status(thm)],[c_0_67,c_0_10]) ).

cnf(c_0_71,plain,
    mult(rd(mult(X1,X2),mult(rd(X2,X3),X2)),X3) = mult(X1,mult(rd(X3,X2),X3)),
    inference(rw,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_72,plain,
    mult(rd(X1,rd(X2,mult(X3,X2))),X3) = rd(mult(X1,mult(X3,mult(X3,X2))),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_10]),c_0_10]) ).

cnf(c_0_73,plain,
    mult(rd(X1,rd(ld(X2,X3),X3)),X2) = rd(mult(X1,mult(X2,X3)),ld(X2,X3)),
    inference(spm,[status(thm)],[c_0_72,c_0_14]) ).

cnf(c_0_74,plain,
    ld(ld(X1,rd(mult(X1,X2),X3)),X2) = ld(ld(X1,X1),X3),
    inference(spm,[status(thm)],[c_0_34,c_0_15]) ).

cnf(c_0_75,plain,
    rd(ld(X1,X2),ld(ld(X1,X1),X3)) = ld(X1,rd(X2,X3)),
    inference(spm,[status(thm)],[c_0_40,c_0_34]) ).

cnf(c_0_76,plain,
    rd(rd(mult(X1,mult(X2,X3)),ld(X2,X3)),X2) = rd(X1,rd(ld(X2,X3),X3)),
    inference(spm,[status(thm)],[c_0_10,c_0_73]) ).

cnf(c_0_77,plain,
    ld(ld(X1,X1),ld(X2,mult(X1,X3))) = ld(ld(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_74,c_0_40]) ).

cnf(c_0_78,plain,
    rd(X1,ld(ld(X2,X2),X3)) = ld(X2,rd(mult(X2,X1),X3)),
    inference(spm,[status(thm)],[c_0_75,c_0_15]) ).

cnf(c_0_79,plain,
    rd(rd(X1,mult(rd(X2,X2),X3)),rd(X2,X3)) = rd(rd(X1,X2),rd(X2,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_65]),c_0_19]),c_0_21]),c_0_19]) ).

cnf(c_0_80,plain,
    mult(X1,rd(ld(X1,X2),ld(X3,X4))) = rd(X2,ld(mult(X1,X3),mult(X1,X4))),
    inference(spm,[status(thm)],[c_0_63,c_0_38]) ).

cnf(c_0_81,plain,
    rd(ld(X1,mult(X2,X3)),ld(ld(X2,X1),X3)) = ld(X2,X2),
    inference(spm,[status(thm)],[c_0_40,c_0_77]) ).

cnf(c_0_82,plain,
    ld(X1,rd(mult(X1,X2),ld(X3,mult(X1,X4)))) = rd(X2,ld(ld(X1,X3),X4)),
    inference(spm,[status(thm)],[c_0_78,c_0_77]) ).

cnf(c_0_83,plain,
    rd(rd(X1,X2),rd(X3,ld(rd(X3,X3),X2))) = rd(rd(X1,X3),rd(X3,X3)),
    inference(spm,[status(thm)],[c_0_79,c_0_14]) ).

cnf(c_0_84,plain,
    rd(mult(X1,X2),ld(mult(X3,ld(X1,X3)),mult(X3,X2))) = mult(X3,ld(X1,X1)),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_85,plain,
    rd(ld(X1,X2),ld(ld(X1,X3),X4)) = ld(X1,rd(X2,ld(X3,mult(X1,X4)))),
    inference(spm,[status(thm)],[c_0_82,c_0_14]) ).

cnf(c_0_86,plain,
    rd(X1,rd(X2,ld(rd(X2,X2),X3))) = rd(rd(mult(X1,X3),X2),rd(X2,X2)),
    inference(spm,[status(thm)],[c_0_83,c_0_10]) ).

cnf(c_0_87,plain,
    rd(X1,ld(mult(X2,ld(X3,X2)),mult(X2,ld(X3,X1)))) = mult(X2,ld(X3,X3)),
    inference(spm,[status(thm)],[c_0_84,c_0_14]) ).

cnf(c_0_88,plain,
    rd(mult(X1,ld(X2,X3)),ld(mult(X2,ld(X1,X2)),X3)) = mult(X2,ld(X1,X1)),
    inference(spm,[status(thm)],[c_0_84,c_0_14]) ).

cnf(c_0_89,plain,
    ld(rd(X1,ld(X1,X2)),rd(X1,ld(X1,X2))) = ld(X1,rd(X1,ld(X2,X2))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_46]),c_0_14]) ).

cnf(c_0_90,plain,
    rd(ld(rd(mult(X1,X2),X3),mult(X1,X3)),X3) = rd(X3,ld(rd(X3,X3),X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_86]),c_0_32]) ).

cnf(c_0_91,plain,
    ld(mult(X1,ld(X2,X1)),mult(X1,ld(X2,X3))) = ld(mult(X1,ld(X2,X2)),X3),
    inference(spm,[status(thm)],[c_0_19,c_0_87]) ).

cnf(c_0_92,plain,
    ld(mult(X1,ld(X2,X2)),mult(X2,ld(X1,X3))) = ld(mult(X1,ld(X2,X1)),X3),
    inference(spm,[status(thm)],[c_0_19,c_0_88]) ).

cnf(c_0_93,plain,
    mult(rd(X1,ld(X1,X2)),ld(X1,rd(X1,ld(X2,X2)))) = rd(X1,ld(X1,X2)),
    inference(spm,[status(thm)],[c_0_14,c_0_89]) ).

cnf(c_0_94,plain,
    rd(X1,ld(rd(X1,X1),ld(X2,X3))) = rd(ld(rd(X3,X1),mult(X2,X1)),X1),
    inference(spm,[status(thm)],[c_0_90,c_0_14]) ).

cnf(c_0_95,plain,
    mult(mult(X1,ld(X2,X1)),ld(mult(X1,ld(X2,X2)),X3)) = mult(X1,ld(X2,X3)),
    inference(spm,[status(thm)],[c_0_14,c_0_91]) ).

cnf(c_0_96,plain,
    ld(rd(X1,ld(X2,X2)),rd(X1,ld(X1,X2))) = ld(X2,rd(X1,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_92,c_0_93]),c_0_89]),c_0_14]),c_0_19]),c_0_14]) ).

cnf(c_0_97,plain,
    ld(rd(ld(rd(X1,X2),mult(X3,X2)),X2),X2) = ld(rd(X2,X2),ld(X3,X1)),
    inference(spm,[status(thm)],[c_0_19,c_0_94]) ).

cnf(c_0_98,plain,
    mult(X1,ld(X2,mult(mult(X1,ld(X2,X2)),X3))) = mult(mult(X1,ld(X2,X1)),X3),
    inference(spm,[status(thm)],[c_0_95,c_0_15]) ).

cnf(c_0_99,plain,
    mult(rd(X1,ld(X2,X2)),ld(X2,rd(X1,ld(X2,X2)))) = rd(X1,ld(X1,X2)),
    inference(spm,[status(thm)],[c_0_14,c_0_96]) ).

cnf(c_0_100,plain,
    mult(rd(mult(X1,X2),mult(rd(X2,X3),X2)),X2) = mult(X1,mult(rd(X2,X2),X3)),
    inference(spm,[status(thm)],[c_0_9,c_0_69]) ).

cnf(c_0_101,plain,
    ld(rd(ld(rd(X1,X2),X3),X2),X2) = ld(rd(X2,X2),ld(rd(X3,X2),X1)),
    inference(spm,[status(thm)],[c_0_97,c_0_9]) ).

cnf(c_0_102,plain,
    rd(ld(X1,mult(mult(X1,ld(X2,X1)),X3)),X3) = ld(X2,mult(X1,rd(X3,X3))),
    inference(spm,[status(thm)],[c_0_55,c_0_40]) ).

cnf(c_0_103,plain,
    mult(rd(X1,ld(X2,X2)),ld(X2,mult(X1,X3))) = mult(rd(X1,ld(X1,X2)),X3),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_9]),c_0_99]) ).

cnf(c_0_104,plain,
    mult(X1,mult(rd(X2,X2),ld(X3,X2))) = mult(rd(mult(X1,X2),mult(X3,X2)),X2),
    inference(spm,[status(thm)],[c_0_100,c_0_40]) ).

cnf(c_0_105,plain,
    ld(rd(ld(X1,mult(X2,X3)),X3),X3) = ld(rd(X3,X3),ld(X2,mult(X1,X3))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_36]),c_0_32]),c_0_10]) ).

cnf(c_0_106,plain,
    rd(mult(X1,ld(X2,X1)),ld(X2,mult(X1,rd(X3,X3)))) = rd(X1,rd(X3,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_102]),c_0_10]) ).

cnf(c_0_107,plain,
    ld(X1,rd(mult(X1,X2),mult(rd(X2,X3),X2))) = rd(mult(ld(X1,X1),X3),X2),
    inference(rw,[status(thm)],[c_0_35,c_0_69]) ).

cnf(c_0_108,plain,
    ld(rd(X1,ld(X2,X2)),mult(rd(X1,ld(X1,X2)),X3)) = ld(X2,mult(X1,X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_103]) ).

cnf(c_0_109,plain,
    mult(rd(mult(X1,X2),ld(X3,mult(X4,X2))),X2) = mult(X1,ld(X4,mult(X3,X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_14]),c_0_9]) ).

cnf(c_0_110,plain,
    mult(rd(X1,mult(rd(X2,X3),X2)),X2) = mult(rd(X1,X2),mult(rd(X2,X2),X3)),
    inference(spm,[status(thm)],[c_0_100,c_0_9]) ).

cnf(c_0_111,plain,
    rd(mult(X1,mult(ld(X2,mult(X1,rd(X3,X3))),X3)),X3) = mult(X1,ld(X2,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_106]),c_0_12]) ).

cnf(c_0_112,plain,
    rd(ld(mult(X1,X2),mult(X1,X3)),X3) = ld(X1,rd(mult(X1,X3),mult(X2,X3))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_40]),c_0_38]) ).

cnf(c_0_113,plain,
    ld(rd(X1,ld(X1,X2)),mult(rd(X1,ld(X2,X2)),X3)) = ld(X1,mult(X2,X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_96]),c_0_89]),c_0_40]),c_0_40]) ).

cnf(c_0_114,plain,
    mult(rd(mult(X1,X2),ld(X3,X4)),X2) = mult(X1,ld(rd(X4,X2),mult(X3,X2))),
    inference(spm,[status(thm)],[c_0_109,c_0_9]) ).

cnf(c_0_115,plain,
    mult(mult(X1,rd(X2,X3)),mult(rd(X2,X2),X3)) = mult(mult(X1,rd(X2,X2)),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_16]),c_0_10]) ).

cnf(c_0_116,plain,
    mult(X1,mult(ld(X2,mult(X1,rd(X3,X3))),X3)) = mult(mult(X1,ld(X2,X1)),X3),
    inference(spm,[status(thm)],[c_0_9,c_0_111]) ).

cnf(c_0_117,plain,
    ld(rd(X1,ld(X2,X2)),mult(X2,rd(X3,X3))) = rd(ld(X1,mult(X2,X3)),X3),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_99]),c_0_113]),c_0_20]) ).

cnf(c_0_118,plain,
    mult(X1,ld(rd(mult(X2,X3),X4),mult(X2,X4))) = mult(rd(mult(X1,X4),X3),X4),
    inference(spm,[status(thm)],[c_0_114,c_0_15]) ).

cnf(c_0_119,plain,
    mult(mult(X1,rd(X2,ld(rd(X2,X2),X3))),X3) = mult(mult(X1,rd(X2,X2)),X2),
    inference(spm,[status(thm)],[c_0_115,c_0_14]) ).

cnf(c_0_120,plain,
    mult(rd(X1,ld(rd(X2,X3),mult(X4,X3))),X3) = mult(rd(X1,X3),ld(X4,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_94]),c_0_9]),c_0_14]) ).

cnf(c_0_121,plain,
    mult(mult(X1,ld(rd(X2,ld(X1,X1)),X1)),X3) = mult(X1,ld(X2,mult(X1,X3))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_9]) ).

cnf(c_0_122,plain,
    mult(X1,ld(rd(mult(rd(X2,X3),X4),X3),X2)) = mult(rd(mult(X1,X3),X4),X3),
    inference(spm,[status(thm)],[c_0_118,c_0_9]) ).

cnf(c_0_123,plain,
    mult(X1,rd(X2,ld(rd(X2,X2),X3))) = rd(mult(mult(X1,rd(X2,X2)),X2),X3),
    inference(spm,[status(thm)],[c_0_10,c_0_119]) ).

cnf(c_0_124,plain,
    mult(rd(X1,ld(rd(X2,X3),X4)),X3) = mult(rd(X1,X3),ld(rd(X4,X3),X2)),
    inference(spm,[status(thm)],[c_0_120,c_0_9]) ).

cnf(c_0_125,plain,
    rd(mult(rd(X1,X2),ld(X3,X4)),X2) = rd(X1,ld(rd(X4,X2),mult(X3,X2))),
    inference(spm,[status(thm)],[c_0_10,c_0_120]) ).

cnf(c_0_126,plain,
    mult(X1,ld(mult(X2,ld(X1,X1)),mult(X1,X3))) = mult(mult(X1,ld(X2,X1)),X3),
    inference(spm,[status(thm)],[c_0_121,c_0_10]) ).

cnf(c_0_127,plain,
    mult(mult(rd(X1,X2),ld(X1,X1)),X3) = mult(X1,ld(mult(X1,X2),mult(X1,X3))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_14]),c_0_40]) ).

cnf(c_0_128,plain,
    rd(mult(X1,ld(X2,mult(X3,X4))),X4) = rd(mult(X1,X4),ld(X3,mult(X2,X4))),
    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_124]),c_0_86]),c_0_86]),c_0_32]),c_0_12]),c_0_9]),c_0_125]),c_0_10]),c_0_9]),c_0_86]),c_0_32]),c_0_44]),c_0_9]),c_0_124]),c_0_10]),c_0_10]) ).

cnf(c_0_129,plain,
    ld(mult(X1,ld(X2,X2)),mult(X2,X3)) = ld(X2,mult(mult(X2,ld(X1,X2)),X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_126]) ).

cnf(c_0_130,plain,
    rd(mult(X1,X2),ld(X1,mult(mult(X1,X3),X2))) = mult(rd(X1,X3),ld(X1,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_127]),c_0_128]) ).

cnf(c_0_131,plain,
    ld(X1,mult(mult(X1,ld(X2,X1)),ld(X1,X3))) = ld(mult(X2,ld(X1,X1)),X3),
    inference(spm,[status(thm)],[c_0_129,c_0_14]) ).

cnf(c_0_132,plain,
    ld(X1,rd(mult(mult(X1,rd(X2,X2)),X2),X3)) = rd(X2,ld(rd(X2,X2),X3)),
    inference(spm,[status(thm)],[c_0_15,c_0_123]) ).

cnf(c_0_133,plain,
    rd(X1,ld(X2,mult(mult(X2,X3),ld(X2,X1)))) = mult(rd(X2,X3),ld(X2,X2)),
    inference(spm,[status(thm)],[c_0_130,c_0_14]) ).

cnf(c_0_134,plain,
    ld(rd(mult(X1,X2),mult(X3,X2)),mult(X4,X2)) = mult(ld(rd(X1,X3),X4),X2),
    inference(spm,[status(thm)],[c_0_48,c_0_10]) ).

cnf(c_0_135,plain,
    mult(mult(X1,ld(X2,X1)),ld(X1,X3)) = mult(X1,ld(mult(X2,ld(X1,X1)),X3)),
    inference(spm,[status(thm)],[c_0_14,c_0_131]) ).

cnf(c_0_136,plain,
    ld(rd(mult(X1,X2),ld(X3,X1)),X1) = ld(X3,mult(rd(X1,X2),ld(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_132,c_0_133]),c_0_94]),c_0_128]),c_0_27]),c_0_10]),c_0_134]),c_0_10]) ).

cnf(c_0_137,plain,
    ld(ld(X1,X2),ld(mult(X1,ld(X2,X2)),X3)) = ld(ld(X2,X2),ld(X2,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_135]),c_0_15]) ).

cnf(c_0_138,plain,
    mult(X1,mult(ld(X2,X2),X3)) = mult(X2,mult(ld(X2,X1),X3)),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_139,plain,
    rd(X1,ld(X2,mult(rd(X1,X3),ld(X1,X1)))) = rd(mult(X1,X3),ld(X2,X1)),
    inference(spm,[status(thm)],[c_0_40,c_0_136]) ).

cnf(c_0_140,plain,
    ld(ld(rd(X1,ld(X2,X2)),X2),ld(X1,X3)) = ld(ld(X2,X2),ld(X2,X3)),
    inference(spm,[status(thm)],[c_0_137,c_0_9]) ).

cnf(c_0_141,plain,
    rd(mult(X1,X2),ld(rd(X3,X2),mult(X4,X2))) = rd(mult(X1,ld(X4,X3)),X2),
    inference(spm,[status(thm)],[c_0_125,c_0_10]) ).

cnf(c_0_142,plain,
    ld(X1,mult(X2,mult(ld(X1,X1),X3))) = mult(ld(X1,X2),X3),
    inference(spm,[status(thm)],[c_0_15,c_0_138]) ).

cnf(c_0_143,plain,
    ld(ld(X1,X1),ld(mult(X1,X2),X3)) = ld(X2,ld(X1,X3)),
    inference(spm,[status(thm)],[c_0_25,c_0_14]) ).

cnf(c_0_144,plain,
    rd(mult(X1,ld(X2,X1)),ld(X3,X1)) = rd(X1,ld(X3,mult(X2,ld(X1,X1)))),
    inference(spm,[status(thm)],[c_0_139,c_0_40]) ).

cnf(c_0_145,plain,
    ld(ld(rd(X1,ld(X2,X2)),X2),X3) = ld(ld(X2,X2),ld(X2,mult(X1,X3))),
    inference(spm,[status(thm)],[c_0_140,c_0_15]) ).

cnf(c_0_146,negated_conjecture,
    f(a,f(b,f(a,c))) != f(f(f(a,b),a),c),
    inference(fof_simplification,[status(thm)],[goals]) ).

cnf(c_0_147,plain,
    ld(rd(mult(X1,ld(X2,X3)),X4),mult(X1,X4)) = ld(rd(X3,X4),mult(X2,X4)),
    inference(spm,[status(thm)],[c_0_19,c_0_141]) ).

cnf(c_0_148,plain,
    rd(mult(X1,ld(mult(X1,X2),X3)),ld(X1,X3)) = mult(rd(X1,X2),ld(X1,X1)),
    inference(spm,[status(thm)],[c_0_130,c_0_14]) ).

cnf(c_0_149,plain,
    ld(X1,mult(X2,ld(mult(X1,X3),mult(X1,X4)))) = mult(ld(X1,X2),ld(X3,X4)),
    inference(spm,[status(thm)],[c_0_142,c_0_38]) ).

cnf(c_0_150,plain,
    ld(X1,mult(rd(X2,ld(X2,X3)),ld(X2,X2))) = ld(rd(X3,ld(X1,X2)),X2),
    inference(spm,[status(thm)],[c_0_136,c_0_14]) ).

cnf(c_0_151,plain,
    ld(X1,rd(mult(X1,X2),ld(mult(X1,X3),X4))) = rd(X2,ld(X3,ld(X1,X4))),
    inference(spm,[status(thm)],[c_0_78,c_0_143]) ).

cnf(c_0_152,plain,
    rd(X1,ld(rd(X1,X2),mult(X3,ld(X1,X1)))) = rd(mult(X1,ld(X3,X1)),X2),
    inference(spm,[status(thm)],[c_0_144,c_0_19]) ).

cnf(c_0_153,plain,
    ld(X1,rd(mult(X1,X2),ld(X1,mult(X3,X2)))) = ld(rd(X3,ld(X1,X1)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_145]),c_0_78]) ).

cnf(c_0_154,negated_conjecture,
    f(a,f(b,f(a,c))) != f(f(f(a,b),a),c),
    c_0_146 ).

cnf(c_0_155,axiom,
    f(X1,X2) = mult(rd(X1,op_c),ld(op_c,X2)),
    c07 ).

cnf(c_0_156,plain,
    ld(mult(rd(X1,X2),ld(X1,X1)),X3) = ld(X1,mult(mult(X1,X2),ld(X1,X3))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_14]),c_0_40]) ).

cnf(c_0_157,plain,
    mult(rd(X1,ld(X1,ld(X2,X3))),ld(X1,X1)) = ld(rd(X3,X1),mult(X2,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_15]),c_0_151]) ).

cnf(c_0_158,plain,
    rd(mult(X1,ld(rd(X2,ld(X1,X1)),X1)),X3) = rd(X1,ld(rd(X1,X3),X2)),
    inference(spm,[status(thm)],[c_0_152,c_0_9]) ).

cnf(c_0_159,plain,
    ld(rd(rd(X1,X2),ld(X3,X3)),X3) = ld(X3,rd(mult(X3,X2),ld(X3,X1))),
    inference(spm,[status(thm)],[c_0_153,c_0_9]) ).

cnf(c_0_160,negated_conjecture,
    mult(rd(a,op_c),ld(op_c,mult(rd(b,op_c),ld(op_c,mult(rd(a,op_c),ld(op_c,c)))))) != mult(rd(mult(rd(mult(rd(a,op_c),ld(op_c,b)),op_c),ld(op_c,a)),op_c),ld(op_c,c)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_155]),c_0_155]),c_0_155]),c_0_155]),c_0_155]),c_0_155]) ).

cnf(c_0_161,plain,
    ld(ld(rd(X1,X2),mult(X3,X2)),X4) = ld(X2,mult(ld(X3,X1),ld(X2,X4))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_14]) ).

cnf(c_0_162,plain,
    ld(X1,mult(rd(mult(X1,X2),mult(X3,X2)),X2)) = mult(rd(X2,X2),ld(X3,X2)),
    inference(spm,[status(thm)],[c_0_15,c_0_104]) ).

cnf(c_0_163,plain,
    rd(X1,ld(rd(X1,X2),rd(X3,X4))) = rd(rd(mult(X1,X4),ld(X1,X3)),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_14]) ).

cnf(c_0_164,negated_conjecture,
    mult(rd(mult(rd(a,op_c),ld(op_c,b)),ld(rd(a,op_c),mult(op_c,op_c))),ld(op_c,c)) != mult(rd(a,op_c),ld(op_c,mult(rd(b,op_c),ld(op_c,mult(rd(a,op_c),ld(op_c,c)))))),
    inference(rw,[status(thm)],[c_0_160,c_0_125]) ).

cnf(c_0_165,plain,
    mult(rd(mult(X1,X2),ld(X1,X3)),X4) = mult(X1,ld(rd(X3,X2),mult(X1,X4))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_159]),c_0_14]) ).

cnf(c_0_166,plain,
    ld(mult(rd(X1,X1),ld(X2,X1)),X3) = ld(X1,mult(mult(X2,X1),ld(X1,X3))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_9]),c_0_19]) ).

cnf(c_0_167,plain,
    mult(rd(X1,X2),ld(rd(rd(X3,X4),X2),X1)) = rd(mult(X1,X4),ld(X1,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_163]),c_0_9]) ).

cnf(c_0_168,negated_conjecture,
    mult(rd(a,op_c),ld(rd(mult(op_c,op_c),ld(op_c,b)),mult(rd(a,op_c),ld(op_c,c)))) != mult(rd(a,op_c),ld(op_c,mult(rd(b,op_c),ld(op_c,mult(rd(a,op_c),ld(op_c,c)))))),
    inference(rw,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_169,plain,
    ld(rd(mult(X1,X2),ld(X1,X3)),X4) = ld(X1,mult(rd(X3,X2),ld(X1,X4))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_9]) ).

cnf(c_0_170,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_169])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP706-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36  % Computer : n026.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 20 20:37:23 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43  Running first-order theorem proving
% 0.11/0.43  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
% 109.95/22.81  % Version: 3.5.1
% 109.95/22.81  % Preprocessing class: FSSSSMSSSSSNFFN.
% 109.95/22.81  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 109.95/22.81  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 109.95/22.81  % Starting new_bool_3 with 300s (1) cores
% 109.95/22.81  % Starting new_bool_1 with 300s (1) cores
% 109.95/22.81  % Starting sh5l with 300s (1) cores
% 109.95/22.81  % new_bool_3 with pid 553170 completed with status 9
% 109.95/22.81  % new_bool_1 with pid 553171 completed with status 9
% 109.95/22.81  % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 553169 completed with status 0
% 109.95/22.81  % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 109.95/22.81  % Preprocessing class: FSSSSMSSSSSNFFN.
% 109.95/22.81  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 109.95/22.81  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 109.95/22.81  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 109.95/22.81  % No SInE strategy applied
% 109.95/22.81  % Search class: FUUPM-FFSF22-DFFFFFNN
% 109.95/22.81  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 109.95/22.81  % Starting SubtermCWHack with 136s (1) cores
% 109.95/22.81  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 109.95/22.81  % Starting new_bool_3 with 370s (1) cores
% 109.95/22.81  % Starting new_bool_1 with 366s (1) cores
% 109.95/22.81  % Starting G-E--_303_C18_F1_URBAN_S0Y with 140s (1) cores
% 109.95/22.81  % new_bool_1 with pid 553178 completed with status 0
% 109.95/22.81  % Result found by new_bool_1
% 109.95/22.81  % Preprocessing class: FSSSSMSSSSSNFFN.
% 109.95/22.81  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 109.95/22.81  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 109.95/22.81  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 109.95/22.81  % No SInE strategy applied
% 109.95/22.81  % Search class: FUUPM-FFSF22-DFFFFFNN
% 109.95/22.81  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 109.95/22.81  % Starting SubtermCWHack with 136s (1) cores
% 109.95/22.81  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 109.95/22.81  % Starting new_bool_3 with 370s (1) cores
% 109.95/22.81  % Starting new_bool_1 with 366s (1) cores
% 109.95/22.81  % Preprocessing time       : 0.001 s
% 109.95/22.81  % Presaturation interreduction done
% 109.95/22.81  
% 109.95/22.81  % Proof found!
% 109.95/22.81  % SZS status Unsatisfiable
% 109.95/22.81  % SZS output start CNFRefutation
% See solution above
% 109.95/22.81  % Parsed axioms                        : 8
% 109.95/22.81  % Removed by relevancy pruning/SinE    : 0
% 109.95/22.81  % Initial clauses                      : 8
% 109.95/22.81  % Removed in clause preprocessing      : 1
% 109.95/22.81  % Initial clauses in saturation        : 7
% 109.95/22.81  % Processed clauses                    : 1948
% 109.95/22.81  % ...of these trivial                  : 694
% 109.95/22.81  % ...subsumed                          : 94
% 109.95/22.81  % ...remaining for further processing  : 1160
% 109.95/22.81  % Other redundant clauses eliminated   : 0
% 109.95/22.81  % Clauses deleted for lack of memory   : 0
% 109.95/22.81  % Backward-subsumed                    : 0
% 109.95/22.81  % Backward-rewritten                   : 332
% 109.95/22.81  % Generated clauses                    : 626296
% 109.95/22.81  % ...of the previous two non-redundant : 597056
% 109.95/22.81  % ...aggressively subsumed             : 0
% 109.95/22.81  % Contextual simplify-reflections      : 0
% 109.95/22.81  % Paramodulations                      : 626296
% 109.95/22.81  % Factorizations                       : 0
% 109.95/22.81  % NegExts                              : 0
% 109.95/22.81  % Equation resolutions                 : 0
% 109.95/22.81  % Disequality decompositions           : 0
% 109.95/22.81  % Total rewrite steps                  : 981395
% 109.95/22.81  % ...of those cached                   : 762578
% 109.95/22.81  % Propositional unsat checks           : 0
% 109.95/22.81  %    Propositional check models        : 0
% 109.95/22.81  %    Propositional check unsatisfiable : 0
% 109.95/22.81  %    Propositional clauses             : 0
% 109.95/22.81  %    Propositional clauses after purity: 0
% 109.95/22.81  %    Propositional unsat core size     : 0
% 109.95/22.81  %    Propositional preprocessing time  : 0.000
% 109.95/22.81  %    Propositional encoding time       : 0.000
% 109.95/22.81  %    Propositional solver time         : 0.000
% 109.95/22.81  %    Success case prop preproc time    : 0.000
% 109.95/22.81  %    Success case prop encoding time   : 0.000
% 109.95/22.81  %    Success case prop solver time     : 0.000
% 109.95/22.81  % Current number of processed clauses  : 821
% 109.95/22.81  %    Positive orientable unit clauses  : 810
% 109.95/22.81  %    Positive unorientable unit clauses: 11
% 109.95/22.81  %    Negative unit clauses             : 0
% 109.95/22.81  %    Non-unit-clauses                  : 0
% 109.95/22.81  % Current number of unprocessed clauses: 594780
% 109.95/22.81  % ...number of literals in the above   : 594780
% 109.95/22.81  % Current number of archived formulas  : 0
% 109.95/22.81  % Current number of archived clauses   : 340
% 109.95/22.81  % Clause-clause subsumption calls (NU) : 0
% 109.95/22.81  % Rec. Clause-clause subsumption calls : 0
% 109.95/22.81  % Non-unit clause-clause subsumptions  : 0
% 109.95/22.81  % Unit Clause-clause subsumption calls : 56
% 109.95/22.81  % Rewrite failures with RHS unbound    : 5
% 109.95/22.81  % BW rewrite match attempts            : 10022
% 109.95/22.81  % BW rewrite match successes           : 344
% 109.95/22.81  % Condensation attempts                : 0
% 109.95/22.81  % Condensation successes               : 0
% 109.95/22.81  % Termbank termtop insertions          : 14640944
% 109.95/22.81  % Search garbage collected termcells   : 2
% 109.95/22.81  
% 109.95/22.81  % -------------------------------------------------
% 109.95/22.81  % User time                : 20.989 s
% 109.95/22.81  % System time              : 0.730 s
% 109.95/22.81  % Total time               : 21.718 s
% 109.95/22.81  % Maximum resident set size: 3632 pages
% 109.95/22.81  
% 109.95/22.81  % -------------------------------------------------
% 109.95/22.81  % User time                : 105.857 s
% 109.95/22.81  % System time              : 3.925 s
% 109.95/22.81  % Total time               : 109.783 s
% 109.95/22.81  % Maximum resident set size: 4608 pages
% 109.95/22.81  % E exiting
%------------------------------------------------------------------------------