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

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : GRP339-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 12:43:15 PM UTC 2026

% Result   : Unsatisfiable 0.68s 0.52s
% Output   : CNFRefutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   26
% Syntax   : Number of clauses     :  139 (  21 unt;  96 nHn; 127 RR)
%            Number of literals    :  401 ( 400 equ; 162 neg)
%            Maximal clause size   :   14 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   82 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(associativity,axiom,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(left_inverse,axiom,
    multiply(inverse(X1),X1) = identity,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(left_identity,axiom,
    multiply(identity,X1) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(prove_this_23,negated_conjecture,
    ( multiply(sk_c9,sk_c7) = sk_c8
    | multiply(sk_c2,sk_c8) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

cnf(prove_this_25,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | multiply(sk_c2,sk_c8) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

cnf(prove_this_1,negated_conjecture,
    multiply(sk_c8,sk_c9) = sk_c7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

cnf(prove_this_32,negated_conjecture,
    ( multiply(sk_c9,sk_c7) = sk_c8
    | inverse(sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).

cnf(prove_this_22,negated_conjecture,
    ( inverse(sk_c8) = sk_c7
    | multiply(sk_c2,sk_c8) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

cnf(prove_this_24,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | multiply(sk_c2,sk_c8) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

cnf(prove_this_34,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | inverse(sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).

cnf(prove_this_31,negated_conjecture,
    ( inverse(sk_c8) = sk_c7
    | inverse(sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

cnf(prove_this_33,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

cnf(prove_this_38,negated_conjecture,
    ( multiply(X5,sk_c9) != X6
    | inverse(X6) != sk_c9
    | inverse(X5) != X6
    | multiply(X4,sk_c7) != sk_c8
    | inverse(X4) != sk_c8
    | multiply(sk_c9,sk_c7) != sk_c8
    | inverse(sk_c8) != sk_c7
    | inverse(X3) != sk_c9
    | multiply(X3,sk_c9) != sk_c8
    | inverse(X2) != sk_c8
    | multiply(X2,sk_c8) != sk_c9
    | multiply(X1,sk_c8) != sk_c9
    | inverse(X1) != sk_c9
    | multiply(sk_c8,sk_c9) != sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).

cnf(prove_this_16,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | multiply(sk_c1,sk_c8) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

cnf(prove_this_6,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

cnf(prove_this_4,negated_conjecture,
    ( inverse(sk_c8) = sk_c7
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

cnf(prove_this_7,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

cnf(prove_this_5,negated_conjecture,
    ( multiply(sk_c9,sk_c7) = sk_c8
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

cnf(prove_this_15,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | multiply(sk_c1,sk_c8) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

cnf(prove_this_3,negated_conjecture,
    ( inverse(sk_c3) = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

cnf(prove_this_2,negated_conjecture,
    ( multiply(sk_c3,sk_c9) = sk_c8
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

cnf(prove_this_9,negated_conjecture,
    ( inverse(sk_c5) = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

cnf(prove_this_8,negated_conjecture,
    ( inverse(sk_c6) = sk_c5
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

cnf(prove_this_10,negated_conjecture,
    ( multiply(sk_c6,sk_c9) = sk_c5
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

cnf(prove_this_19,negated_conjecture,
    ( multiply(sk_c6,sk_c9) = sk_c5
    | multiply(sk_c1,sk_c8) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

cnf(prove_this_18,negated_conjecture,
    ( inverse(sk_c5) = sk_c9
    | multiply(sk_c1,sk_c8) = sk_c9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

cnf(c_0_26,axiom,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    associativity ).

cnf(c_0_27,axiom,
    multiply(inverse(X1),X1) = identity,
    left_inverse ).

cnf(c_0_28,axiom,
    multiply(identity,X1) = X1,
    left_identity ).

cnf(c_0_29,plain,
    multiply(inverse(X1),multiply(X1,X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).

cnf(c_0_30,negated_conjecture,
    ( multiply(sk_c9,sk_c7) = sk_c8
    | multiply(sk_c2,sk_c8) = sk_c9 ),
    prove_this_23 ).

cnf(c_0_31,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | multiply(sk_c2,sk_c8) = sk_c9 ),
    prove_this_25 ).

cnf(c_0_32,negated_conjecture,
    multiply(sk_c8,sk_c9) = sk_c7,
    prove_this_1 ).

cnf(c_0_33,negated_conjecture,
    ( multiply(sk_c9,sk_c7) = sk_c8
    | multiply(inverse(sk_c2),sk_c9) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_34,negated_conjecture,
    ( multiply(sk_c9,sk_c7) = sk_c8
    | inverse(sk_c2) = sk_c8 ),
    prove_this_32 ).

cnf(c_0_35,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c9
    | multiply(inverse(sk_c4),sk_c8) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_29,c_0_31]) ).

cnf(c_0_36,negated_conjecture,
    multiply(inverse(sk_c8),sk_c7) = sk_c9,
    inference(spm,[status(thm)],[c_0_29,c_0_32]) ).

cnf(c_0_37,negated_conjecture,
    ( inverse(sk_c8) = sk_c7
    | multiply(sk_c2,sk_c8) = sk_c9 ),
    prove_this_22 ).

cnf(c_0_38,negated_conjecture,
    multiply(sk_c8,multiply(sk_c9,X1)) = multiply(sk_c7,X1),
    inference(spm,[status(thm)],[c_0_26,c_0_32]) ).

cnf(c_0_39,negated_conjecture,
    ( sk_c7 = sk_c8
    | multiply(sk_c9,sk_c7) = sk_c8 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_32]) ).

cnf(c_0_40,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | multiply(sk_c2,sk_c8) = sk_c9 ),
    prove_this_24 ).

cnf(c_0_41,negated_conjecture,
    ( multiply(sk_c2,sk_c8) = sk_c9
    | multiply(inverse(inverse(sk_c4)),sk_c7) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_29,c_0_35]) ).

cnf(c_0_42,negated_conjecture,
    ( multiply(sk_c7,sk_c7) = sk_c9
    | multiply(sk_c2,sk_c8) = sk_c9 ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_43,negated_conjecture,
    ( sk_c7 = sk_c8
    | multiply(sk_c7,sk_c7) = multiply(sk_c8,sk_c8) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    ( multiply(sk_c8,sk_c8) = sk_c7
    | multiply(sk_c2,sk_c8) = sk_c9 ),
    inference(spm,[status(thm)],[c_0_35,c_0_40]) ).

cnf(c_0_45,negated_conjecture,
    ( sk_c9 = sk_c8
    | multiply(sk_c2,sk_c8) = sk_c9 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_40]),c_0_36]) ).

cnf(c_0_46,negated_conjecture,
    ( sk_c7 = sk_c8
    | multiply(sk_c2,sk_c8) = sk_c9
    | multiply(sk_c8,sk_c8) = sk_c9 ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_47,negated_conjecture,
    ( multiply(sk_c8,sk_c8) = sk_c7
    | multiply(inverse(sk_c2),sk_c9) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_29,c_0_44]) ).

cnf(c_0_48,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | inverse(sk_c2) = sk_c8 ),
    prove_this_34 ).

cnf(c_0_49,negated_conjecture,
    ( sk_c9 = sk_c8
    | multiply(inverse(sk_c2),sk_c9) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_29,c_0_45]) ).

cnf(c_0_50,negated_conjecture,
    ( sk_c7 = sk_c8
    | multiply(sk_c8,sk_c8) = sk_c9
    | multiply(inverse(sk_c2),sk_c9) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_29,c_0_46]) ).

cnf(c_0_51,negated_conjecture,
    ( inverse(sk_c8) = sk_c7
    | inverse(sk_c2) = sk_c8 ),
    prove_this_31 ).

cnf(c_0_52,negated_conjecture,
    ( sk_c7 = sk_c8
    | multiply(sk_c8,sk_c8) = sk_c7
    | multiply(sk_c4,sk_c7) = sk_c8 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_32]) ).

cnf(c_0_53,negated_conjecture,
    ( sk_c7 = sk_c8
    | sk_c9 = sk_c8
    | multiply(sk_c4,sk_c7) = sk_c8 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_48]),c_0_32]) ).

cnf(c_0_54,negated_conjecture,
    ( sk_c7 = sk_c8
    | inverse(sk_c8) = sk_c7
    | multiply(sk_c8,sk_c8) = sk_c9 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_32])]) ).

cnf(c_0_55,negated_conjecture,
    ( sk_c7 = sk_c8
    | multiply(sk_c8,sk_c8) = sk_c7
    | multiply(inverse(sk_c4),sk_c8) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_29,c_0_52]) ).

cnf(c_0_56,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c2) = sk_c8 ),
    prove_this_33 ).

cnf(c_0_57,negated_conjecture,
    ( sk_c9 = sk_c8
    | sk_c7 = sk_c8
    | multiply(inverse(sk_c4),sk_c8) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_29,c_0_53]) ).

cnf(c_0_58,negated_conjecture,
    ( sk_c7 = sk_c8
    | multiply(sk_c7,sk_c7) = sk_c9
    | multiply(sk_c8,sk_c8) = sk_c9 ),
    inference(spm,[status(thm)],[c_0_36,c_0_54]) ).

cnf(c_0_59,negated_conjecture,
    ( sk_c7 = sk_c8
    | inverse(sk_c2) = sk_c8
    | multiply(sk_c8,sk_c8) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_60,negated_conjecture,
    ( sk_c7 = sk_c8
    | sk_c9 = sk_c8
    | inverse(sk_c2) = sk_c8
    | multiply(sk_c8,sk_c8) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_57,c_0_56]) ).

cnf(c_0_61,negated_conjecture,
    ( multiply(X5,sk_c9) != X6
    | inverse(X6) != sk_c9
    | inverse(X5) != X6
    | multiply(X4,sk_c7) != sk_c8
    | inverse(X4) != sk_c8
    | multiply(sk_c9,sk_c7) != sk_c8
    | inverse(sk_c8) != sk_c7
    | inverse(X3) != sk_c9
    | multiply(X3,sk_c9) != sk_c8
    | inverse(X2) != sk_c8
    | multiply(X2,sk_c8) != sk_c9
    | multiply(X1,sk_c8) != sk_c9
    | inverse(X1) != sk_c9
    | multiply(sk_c8,sk_c9) != sk_c7 ),
    inference(fof_simplification,[status(thm)],[prove_this_38]) ).

cnf(c_0_62,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | multiply(sk_c1,sk_c8) = sk_c9 ),
    prove_this_16 ).

cnf(c_0_63,negated_conjecture,
    ( sk_c7 = sk_c8
    | multiply(sk_c8,sk_c8) = sk_c9 ),
    inference(spm,[status(thm)],[c_0_43,c_0_58]) ).

cnf(c_0_64,negated_conjecture,
    ( sk_c7 = sk_c8
    | multiply(sk_c8,sk_c8) = sk_c7 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_59]),c_0_32])]) ).

cnf(c_0_65,negated_conjecture,
    ( sk_c7 = sk_c8
    | sk_c9 = sk_c8
    | multiply(sk_c8,sk_c8) = sk_c7 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_60]),c_0_32])]) ).

cnf(c_0_66,negated_conjecture,
    ( multiply(X5,sk_c9) != X6
    | inverse(X6) != sk_c9
    | inverse(X5) != X6
    | multiply(X4,sk_c7) != sk_c8
    | inverse(X4) != sk_c8
    | multiply(sk_c9,sk_c7) != sk_c8
    | inverse(sk_c8) != sk_c7
    | inverse(X3) != sk_c9
    | multiply(X3,sk_c9) != sk_c8
    | inverse(X2) != sk_c8
    | multiply(X2,sk_c8) != sk_c9
    | multiply(X1,sk_c8) != sk_c9
    | inverse(X1) != sk_c9
    | multiply(sk_c8,sk_c9) != sk_c7 ),
    c_0_61 ).

cnf(c_0_67,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c9
    | multiply(inverse(sk_c4),sk_c8) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_29,c_0_62]) ).

cnf(c_0_68,negated_conjecture,
    ( sk_c7 = sk_c9
    | sk_c7 = sk_c8 ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_69,negated_conjecture,
    ( sk_c9 = sk_c8
    | sk_c7 = sk_c8 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_65]),c_0_36])]) ).

cnf(c_0_70,negated_conjecture,
    ( inverse(X5) != sk_c9
    | inverse(X4) != sk_c8
    | inverse(X3) != sk_c9
    | inverse(X2) != sk_c8
    | inverse(sk_c8) != sk_c7
    | multiply(X5,sk_c8) != sk_c9
    | multiply(X4,sk_c8) != sk_c9
    | multiply(X3,sk_c9) != sk_c8
    | multiply(X2,sk_c7) != sk_c8
    | inverse(X1) != multiply(X1,sk_c9)
    | multiply(sk_c9,sk_c7) != sk_c8
    | inverse(multiply(X1,sk_c9)) != sk_c9 ),
    inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_32])])]) ).

cnf(c_0_71,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c1) = sk_c9 ),
    prove_this_6 ).

cnf(c_0_72,negated_conjecture,
    ( inverse(sk_c8) = sk_c7
    | inverse(sk_c1) = sk_c9 ),
    prove_this_4 ).

cnf(c_0_73,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | inverse(sk_c1) = sk_c9 ),
    prove_this_7 ).

cnf(c_0_74,negated_conjecture,
    ( multiply(sk_c9,sk_c7) = sk_c8
    | inverse(sk_c1) = sk_c9 ),
    prove_this_5 ).

cnf(c_0_75,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c9
    | multiply(inverse(inverse(sk_c4)),sk_c7) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_29,c_0_67]) ).

cnf(c_0_76,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | multiply(sk_c1,sk_c8) = sk_c9 ),
    prove_this_15 ).

cnf(c_0_77,negated_conjecture,
    ( inverse(sk_c3) = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    prove_this_3 ).

cnf(c_0_78,negated_conjecture,
    sk_c7 = sk_c8,
    inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_68]),c_0_69]) ).

cnf(c_0_79,negated_conjecture,
    ( inverse(X4) != sk_c9
    | inverse(X3) != sk_c8
    | inverse(X2) != sk_c9
    | multiply(X4,sk_c8) != sk_c9
    | multiply(X3,sk_c8) != sk_c9
    | multiply(X2,sk_c9) != sk_c8
    | inverse(X1) != multiply(X1,sk_c9)
    | inverse(multiply(X1,sk_c9)) != sk_c9
    | inverse(sk_c1) = sk_c9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]),c_0_73]),c_0_74]) ).

cnf(c_0_80,negated_conjecture,
    ( multiply(sk_c3,sk_c9) = sk_c8
    | inverse(sk_c1) = sk_c9 ),
    prove_this_2 ).

cnf(c_0_81,negated_conjecture,
    ( sk_c9 = sk_c8
    | multiply(sk_c1,sk_c8) = sk_c9 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_36]) ).

cnf(c_0_82,negated_conjecture,
    ( inverse(sk_c1) = sk_c9
    | multiply(sk_c9,sk_c3) = identity ),
    inference(spm,[status(thm)],[c_0_27,c_0_77]) ).

cnf(c_0_83,negated_conjecture,
    identity = sk_c9,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_78]),c_0_27]) ).

cnf(c_0_84,negated_conjecture,
    ( inverse(X3) != sk_c9
    | inverse(X2) != sk_c8
    | multiply(X3,sk_c8) != sk_c9
    | multiply(X2,sk_c8) != sk_c9
    | inverse(X1) != multiply(X1,sk_c9)
    | inverse(multiply(X1,sk_c9)) != sk_c9
    | inverse(sk_c1) = sk_c9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_77]),c_0_80]) ).

cnf(c_0_85,negated_conjecture,
    ( inverse(sk_c5) = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    prove_this_9 ).

cnf(c_0_86,negated_conjecture,
    ( sk_c9 = sk_c8
    | multiply(inverse(sk_c1),sk_c9) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_29,c_0_81]) ).

cnf(c_0_87,negated_conjecture,
    ( inverse(sk_c1) = sk_c9
    | multiply(sk_c9,sk_c3) = sk_c9 ),
    inference(rw,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_88,plain,
    multiply(sk_c9,X1) = X1,
    inference(rw,[status(thm)],[c_0_28,c_0_83]) ).

cnf(c_0_89,negated_conjecture,
    ( sk_c9 != sk_c8
    | inverse(X2) != sk_c9
    | multiply(X2,sk_c8) != sk_c9
    | multiply(sk_c5,sk_c8) != sk_c9
    | inverse(X1) != multiply(X1,sk_c9)
    | inverse(multiply(X1,sk_c9)) != sk_c9
    | inverse(sk_c1) = sk_c9 ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_90,negated_conjecture,
    ( inverse(X2) != sk_c9
    | multiply(X2,sk_c8) != sk_c9
    | multiply(sk_c4,sk_c8) != sk_c9
    | inverse(X1) != multiply(X1,sk_c9)
    | inverse(multiply(X1,sk_c9)) != sk_c9
    | inverse(sk_c1) = sk_c9 ),
    inference(spm,[status(thm)],[c_0_84,c_0_71]) ).

cnf(c_0_91,negated_conjecture,
    ( sk_c9 = sk_c8
    | multiply(sk_c9,sk_c9) = sk_c8
    | multiply(sk_c3,sk_c9) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_86,c_0_80]) ).

cnf(c_0_92,negated_conjecture,
    ( sk_c3 = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    inference(rw,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_93,negated_conjecture,
    ( sk_c9 != sk_c8
    | multiply(sk_c5,sk_c8) != sk_c9
    | inverse(X1) != multiply(X1,sk_c9)
    | inverse(multiply(X1,sk_c9)) != sk_c9
    | inverse(sk_c1) = sk_c9 ),
    inference(spm,[status(thm)],[c_0_89,c_0_85]) ).

cnf(c_0_94,negated_conjecture,
    ( inverse(sk_c6) = sk_c5
    | inverse(sk_c1) = sk_c9 ),
    prove_this_8 ).

cnf(c_0_95,negated_conjecture,
    ( multiply(sk_c6,sk_c9) = sk_c5
    | inverse(sk_c1) = sk_c9 ),
    prove_this_10 ).

cnf(c_0_96,negated_conjecture,
    ( sk_c9 != sk_c8
    | multiply(sk_c4,sk_c8) != sk_c9
    | inverse(X1) != multiply(X1,sk_c9)
    | inverse(multiply(X1,sk_c9)) != sk_c9
    | inverse(sk_c1) = sk_c9 ),
    inference(spm,[status(thm)],[c_0_90,c_0_71]) ).

cnf(c_0_97,negated_conjecture,
    ( sk_c9 = sk_c8
    | multiply(sk_c3,sk_c9) = sk_c8 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_88])]) ).

cnf(c_0_98,negated_conjecture,
    ( sk_c9 = sk_c8
    | sk_c3 = sk_c9 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_92]),c_0_88])]) ).

cnf(c_0_99,negated_conjecture,
    ( sk_c9 != sk_c8
    | multiply(sk_c5,sk_c8) != sk_c9
    | inverse(multiply(sk_c6,sk_c9)) != sk_c9
    | inverse(sk_c1) = sk_c9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).

cnf(c_0_100,negated_conjecture,
    ( multiply(sk_c9,sk_c1) = identity
    | multiply(sk_c6,sk_c9) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_27,c_0_95]) ).

cnf(c_0_101,negated_conjecture,
    ( sk_c9 != sk_c8
    | multiply(sk_c4,sk_c8) != sk_c9
    | inverse(multiply(sk_c6,sk_c9)) != sk_c9
    | inverse(sk_c1) = sk_c9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_94]),c_0_95]) ).

cnf(c_0_102,negated_conjecture,
    ( multiply(sk_c6,sk_c9) = sk_c5
    | multiply(sk_c1,sk_c8) = sk_c9 ),
    prove_this_19 ).

cnf(c_0_103,negated_conjecture,
    ( inverse(sk_c5) = sk_c9
    | multiply(sk_c1,sk_c8) = sk_c9 ),
    prove_this_18 ).

cnf(c_0_104,negated_conjecture,
    ( inverse(sk_c1) = sk_c9
    | multiply(sk_c4,sk_c8) = sk_c8 ),
    inference(rw,[status(thm)],[c_0_73,c_0_78]) ).

cnf(c_0_105,negated_conjecture,
    sk_c9 = sk_c8,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_88])]) ).

cnf(c_0_106,negated_conjecture,
    ( sk_c9 != sk_c8
    | multiply(sk_c5,sk_c8) != sk_c9
    | inverse(sk_c1) = sk_c9
    | multiply(sk_c9,sk_c1) = identity ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_85]) ).

cnf(c_0_107,negated_conjecture,
    ( sk_c9 != sk_c8
    | multiply(sk_c4,sk_c8) != sk_c9
    | inverse(sk_c1) = sk_c9
    | multiply(sk_c1,sk_c8) = sk_c9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).

cnf(c_0_108,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | multiply(sk_c4,sk_c8) = sk_c8 ),
    inference(rw,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_109,negated_conjecture,
    ( sk_c9 != sk_c8
    | multiply(sk_c5,sk_c8) != sk_c9
    | inverse(sk_c1) = sk_c9
    | multiply(sk_c9,sk_c1) = sk_c9 ),
    inference(rw,[status(thm)],[c_0_106,c_0_83]) ).

cnf(c_0_110,negated_conjecture,
    ( inverse(sk_c1) = sk_c9
    | multiply(sk_c9,sk_c5) = identity ),
    inference(spm,[status(thm)],[c_0_27,c_0_85]) ).

cnf(c_0_111,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | multiply(sk_c1,sk_c8) = sk_c8 ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_105]),c_0_105]),c_0_105]),c_0_105])]),c_0_108]) ).

cnf(c_0_112,plain,
    multiply(sk_c8,X1) = X1,
    inference(rw,[status(thm)],[c_0_88,c_0_105]) ).

cnf(c_0_113,negated_conjecture,
    ( inverse(sk_c8) = sk_c7
    | multiply(sk_c9,sk_c1) = identity ),
    inference(spm,[status(thm)],[c_0_27,c_0_72]) ).

cnf(c_0_114,negated_conjecture,
    ( multiply(sk_c9,sk_c1) = identity
    | multiply(sk_c9,sk_c7) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_27,c_0_74]) ).

cnf(c_0_115,negated_conjecture,
    ( sk_c9 != sk_c8
    | multiply(sk_c5,sk_c8) != sk_c9
    | sk_c1 = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    inference(rw,[status(thm)],[c_0_109,c_0_88]) ).

cnf(c_0_116,negated_conjecture,
    ( multiply(sk_c9,sk_c1) = identity
    | multiply(sk_c9,sk_c5) = identity ),
    inference(spm,[status(thm)],[c_0_27,c_0_110]) ).

cnf(c_0_117,negated_conjecture,
    ( multiply(sk_c1,X1) = X1
    | multiply(sk_c1,sk_c8) = sk_c8 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_111]),c_0_112]) ).

cnf(c_0_118,negated_conjecture,
    ( sk_c7 != sk_c8
    | inverse(X4) != sk_c9
    | inverse(X3) != sk_c8
    | inverse(X2) != sk_c9
    | multiply(X4,sk_c8) != sk_c9
    | multiply(X3,sk_c8) != sk_c9
    | multiply(X2,sk_c9) != sk_c8
    | multiply(sk_c8,sk_c7) != sk_c8
    | inverse(X1) != multiply(X1,sk_c9)
    | inverse(multiply(X1,sk_c9)) != sk_c9
    | multiply(sk_c9,sk_c1) = identity ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_113]),c_0_113]),c_0_114]) ).

cnf(c_0_119,negated_conjecture,
    ( multiply(sk_c5,sk_c8) != sk_c8
    | sk_c1 = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_105]),c_0_105]),c_0_105]),c_0_105])]) ).

cnf(c_0_120,negated_conjecture,
    ( sk_c5 = sk_c8
    | sk_c1 = sk_c8 ),
    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_116,c_0_83]),c_0_83]),c_0_88]),c_0_105]),c_0_88]),c_0_105]) ).

cnf(c_0_121,negated_conjecture,
    multiply(sk_c1,sk_c8) = sk_c8,
    inference(ef,[status(thm)],[c_0_117]) ).

cnf(c_0_122,negated_conjecture,
    ( inverse(X4) != sk_c8
    | inverse(X3) != sk_c8
    | inverse(X2) != sk_c8
    | multiply(X4,sk_c8) != sk_c8
    | multiply(X3,sk_c8) != sk_c8
    | multiply(X2,sk_c8) != sk_c8
    | inverse(X1) != multiply(X1,sk_c8)
    | inverse(multiply(X1,sk_c8)) != sk_c8
    | sk_c1 = sk_c8 ),
    inference(cn,[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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_78]),c_0_78])]),c_0_88]),c_0_83]),c_0_105]),c_0_105]),c_0_105]),c_0_105]),c_0_112]),c_0_105]),c_0_105]),c_0_105]),c_0_105]),c_0_105])]) ).

cnf(c_0_123,negated_conjecture,
    ( sk_c1 = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_112])]) ).

cnf(c_0_124,negated_conjecture,
    multiply(sk_c1,X1) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_121]),c_0_112]),c_0_112]) ).

cnf(c_0_125,negated_conjecture,
    ( inverse(X3) != sk_c8
    | inverse(X2) != sk_c8
    | multiply(X3,sk_c8) != sk_c8
    | multiply(X2,sk_c8) != sk_c8
    | inverse(X1) != multiply(X1,sk_c8)
    | inverse(multiply(X1,sk_c8)) != sk_c8
    | sk_c1 = sk_c8 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124])]) ).

cnf(c_0_126,negated_conjecture,
    ( inverse(X2) != sk_c8
    | multiply(X2,sk_c8) != sk_c8
    | inverse(X1) != multiply(X1,sk_c8)
    | inverse(multiply(X1,sk_c8)) != sk_c8
    | sk_c1 = sk_c8 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_123]),c_0_124])]) ).

cnf(c_0_127,negated_conjecture,
    ( inverse(sk_c8) = sk_c8
    | inverse(sk_c1) = sk_c9 ),
    inference(rw,[status(thm)],[c_0_72,c_0_78]) ).

cnf(c_0_128,negated_conjecture,
    ( inverse(X1) != multiply(X1,sk_c8)
    | inverse(multiply(X1,sk_c8)) != sk_c8
    | sk_c1 = sk_c8 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_123]),c_0_124])]) ).

cnf(c_0_129,negated_conjecture,
    ( sk_c1 = sk_c8
    | inverse(sk_c8) = sk_c8 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_78]),c_0_88]),c_0_83]),c_0_105]) ).

cnf(c_0_130,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | inverse(sk_c8) = sk_c8 ),
    inference(rw,[status(thm)],[c_0_127,c_0_105]) ).

cnf(c_0_131,negated_conjecture,
    sk_c1 = sk_c8,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_123]),c_0_124]),c_0_124])]),c_0_129]) ).

cnf(c_0_132,negated_conjecture,
    inverse(sk_c8) = sk_c8,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131])]) ).

cnf(c_0_133,negated_conjecture,
    ( inverse(X5) != sk_c8
    | inverse(X4) != sk_c8
    | inverse(X3) != sk_c8
    | inverse(X2) != sk_c8
    | multiply(X5,sk_c8) != sk_c8
    | multiply(X4,sk_c8) != sk_c8
    | multiply(X3,sk_c8) != sk_c8
    | multiply(X2,sk_c8) != sk_c8
    | inverse(X1) != multiply(X1,sk_c8)
    | inverse(multiply(X1,sk_c8)) != sk_c8 ),
    inference(cn,[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)],[c_0_70,c_0_78]),c_0_78]),c_0_78]),c_0_105]),c_0_105]),c_0_88]),c_0_105]),c_0_105]),c_0_105]),c_0_105]),c_0_132]),c_0_105]),c_0_105])]) ).

cnf(c_0_134,negated_conjecture,
    ( inverse(X4) != sk_c8
    | inverse(X3) != sk_c8
    | inverse(X2) != sk_c8
    | multiply(X4,sk_c8) != sk_c8
    | multiply(X3,sk_c8) != sk_c8
    | multiply(X2,sk_c8) != sk_c8
    | inverse(X1) != multiply(X1,sk_c8)
    | inverse(multiply(X1,sk_c8)) != sk_c8 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_132]),c_0_112])]) ).

cnf(c_0_135,negated_conjecture,
    ( inverse(X3) != sk_c8
    | inverse(X2) != sk_c8
    | multiply(X3,sk_c8) != sk_c8
    | multiply(X2,sk_c8) != sk_c8
    | inverse(X1) != multiply(X1,sk_c8)
    | inverse(multiply(X1,sk_c8)) != sk_c8 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_132]),c_0_112])]) ).

cnf(c_0_136,negated_conjecture,
    ( inverse(X2) != sk_c8
    | multiply(X2,sk_c8) != sk_c8
    | inverse(X1) != multiply(X1,sk_c8)
    | inverse(multiply(X1,sk_c8)) != sk_c8 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_132]),c_0_112])]) ).

cnf(c_0_137,negated_conjecture,
    ( inverse(X1) != multiply(X1,sk_c8)
    | inverse(multiply(X1,sk_c8)) != sk_c8 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_132]),c_0_112])]) ).

cnf(c_0_138,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_132]),c_0_112]),c_0_132]),c_0_112])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP339-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n005.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 20 20:09:18 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  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
% 0.68/0.52  % Version: 3.5.1
% 0.68/0.52  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.68/0.52  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.68/0.52  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.68/0.52  % Starting new_bool_3 with 300s (1) cores
% 0.68/0.52  % Starting new_bool_1 with 300s (1) cores
% 0.68/0.52  % Starting sh5l with 300s (1) cores
% 0.68/0.52  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1657584 completed with status 0
% 0.68/0.52  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.68/0.52  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.68/0.52  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.68/0.52  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.68/0.52  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.68/0.52  % No SInE strategy applied
% 0.68/0.52  % Search class: FGHPS-FFMM21-SFFFFFNN
% 0.68/0.52  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.68/0.52  % Starting SubtermCWHack with 136s (1) cores
% 0.68/0.52  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.68/0.52  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.68/0.52  % Starting new_bool_3 with 136s (1) cores
% 0.68/0.52  % Starting new_bool_1 with 136s (1) cores
% 0.68/0.52  % new_bool_1 with pid 1657592 completed with status 0
% 0.68/0.52  % Result found by new_bool_1
% 0.68/0.52  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.68/0.52  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.68/0.52  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.68/0.52  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.68/0.52  % No SInE strategy applied
% 0.68/0.52  % Search class: FGHPS-FFMM21-SFFFFFNN
% 0.68/0.52  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.68/0.52  % Starting SubtermCWHack with 136s (1) cores
% 0.68/0.52  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.68/0.52  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.68/0.52  % Starting new_bool_3 with 136s (1) cores
% 0.68/0.52  % Starting new_bool_1 with 136s (1) cores
% 0.68/0.52  % Preprocessing time       : 0.001 s
% 0.68/0.52  % Presaturation interreduction done
% 0.68/0.52  
% 0.68/0.52  % Proof found!
% 0.68/0.52  % SZS status Unsatisfiable
% 0.68/0.52  % SZS output start CNFRefutation
% See solution above
% 0.68/0.52  % Parsed axioms                        : 41
% 0.68/0.52  % Removed by relevancy pruning/SinE    : 0
% 0.68/0.52  % Initial clauses                      : 41
% 0.68/0.52  % Removed in clause preprocessing      : 0
% 0.68/0.52  % Initial clauses in saturation        : 41
% 0.68/0.52  % Processed clauses                    : 1639
% 0.68/0.52  % ...of these trivial                  : 148
% 0.68/0.52  % ...subsumed                          : 630
% 0.68/0.52  % ...remaining for further processing  : 861
% 0.68/0.52  % Other redundant clauses eliminated   : 1
% 0.68/0.52  % Clauses deleted for lack of memory   : 0
% 0.68/0.52  % Backward-subsumed                    : 259
% 0.68/0.52  % Backward-rewritten                   : 529
% 0.68/0.52  % Generated clauses                    : 6541
% 0.68/0.52  % ...of the previous two non-redundant : 5910
% 0.68/0.52  % ...aggressively subsumed             : 0
% 0.68/0.52  % Contextual simplify-reflections      : 116
% 0.68/0.52  % Paramodulations                      : 6536
% 0.68/0.52  % Factorizations                       : 4
% 0.68/0.52  % NegExts                              : 0
% 0.68/0.52  % Equation resolutions                 : 1
% 0.68/0.52  % Disequality decompositions           : 0
% 0.68/0.52  % Total rewrite steps                  : 4064
% 0.68/0.52  % ...of those cached                   : 3981
% 0.68/0.52  % Propositional unsat checks           : 0
% 0.68/0.52  %    Propositional check models        : 0
% 0.68/0.52  %    Propositional check unsatisfiable : 0
% 0.68/0.52  %    Propositional clauses             : 0
% 0.68/0.52  %    Propositional clauses after purity: 0
% 0.68/0.52  %    Propositional unsat core size     : 0
% 0.68/0.52  %    Propositional preprocessing time  : 0.000
% 0.68/0.52  %    Propositional encoding time       : 0.000
% 0.68/0.52  %    Propositional solver time         : 0.000
% 0.68/0.52  %    Success case prop preproc time    : 0.000
% 0.68/0.52  %    Success case prop encoding time   : 0.000
% 0.68/0.52  %    Success case prop solver time     : 0.000
% 0.68/0.52  % Current number of processed clauses  : 31
% 0.68/0.52  %    Positive orientable unit clauses  : 17
% 0.68/0.52  %    Positive unorientable unit clauses: 0
% 0.68/0.52  %    Negative unit clauses             : 0
% 0.68/0.52  %    Non-unit-clauses                  : 14
% 0.68/0.52  % Current number of unprocessed clauses: 3409
% 0.68/0.52  % ...number of literals in the above   : 22987
% 0.68/0.52  % Current number of archived formulas  : 0
% 0.68/0.52  % Current number of archived clauses   : 829
% 0.68/0.52  % Clause-clause subsumption calls (NU) : 18951
% 0.68/0.52  % Rec. Clause-clause subsumption calls : 4485
% 0.68/0.52  % Non-unit clause-clause subsumptions  : 975
% 0.68/0.52  % Unit Clause-clause subsumption calls : 610
% 0.68/0.52  % Rewrite failures with RHS unbound    : 0
% 0.68/0.52  % BW rewrite match attempts            : 103
% 0.68/0.52  % BW rewrite match successes           : 31
% 0.68/0.52  % Condensation attempts                : 0
% 0.68/0.52  % Condensation successes               : 0
% 0.68/0.52  % Termbank termtop insertions          : 123704
% 0.68/0.52  % Search garbage collected termcells   : 38
% 0.68/0.52  
% 0.68/0.52  % -------------------------------------------------
% 0.68/0.52  % User time                : 0.086 s
% 0.68/0.52  % System time              : 0.005 s
% 0.68/0.52  % Total time               : 0.091 s
% 0.68/0.52  % Maximum resident set size: 3652 pages
% 0.68/0.52  
% 0.68/0.52  % -------------------------------------------------
% 0.68/0.52  % User time                : 0.414 s
% 0.68/0.52  % System time              : 0.028 s
% 0.68/0.52  % Total time               : 0.441 s
% 0.68/0.52  % Maximum resident set size: 4608 pages
% 0.68/0.52  % E exiting
%------------------------------------------------------------------------------