TSTP Solution File: GRP382-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GRP382-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:47:16 EDT 2023

% Result   : Unsatisfiable 12.01s 2.00s
% Output   : CNFRefutation 12.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   23
% Syntax   : Number of clauses     :  165 (  45 unt; 104 nHn; 122 RR)
%            Number of literals    :  358 ( 357 equ;  97 neg)
%            Maximal clause size   :   17 (   2 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-2 aty)
%            Number of variables   :  101 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
    multiply(identity,X1) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',left_identity) ).

cnf(left_inverse,axiom,
    multiply(inverse(X1),X1) = identity,
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',left_inverse) ).

cnf(associativity,axiom,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',associativity) ).

cnf(prove_this_3,negated_conjecture,
    ( inverse(sk_c12) = sk_c11
    | multiply(sk_c5,sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',prove_this_3) ).

cnf(prove_this_4,negated_conjecture,
    ( inverse(sk_c12) = sk_c11
    | inverse(sk_c5) = sk_c11 ),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',prove_this_4) ).

cnf(prove_this_6,negated_conjecture,
    ( inverse(sk_c12) = sk_c11
    | inverse(sk_c6) = sk_c9 ),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',prove_this_6) ).

cnf(prove_this_5,negated_conjecture,
    ( inverse(sk_c12) = sk_c11
    | multiply(sk_c6,sk_c9) = sk_c12 ),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',prove_this_5) ).

cnf(prove_this_2,negated_conjecture,
    ( inverse(sk_c12) = sk_c11
    | inverse(sk_c4) = sk_c12 ),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',prove_this_2) ).

cnf(prove_this_1,negated_conjecture,
    ( inverse(sk_c12) = sk_c11
    | multiply(sk_c4,sk_c12) = sk_c11 ),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',prove_this_1) ).

cnf(prove_this_26,negated_conjecture,
    ( inverse(sk_c1) = sk_c12
    | inverse(sk_c6) = sk_c9 ),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',prove_this_26) ).

cnf(prove_this_25,negated_conjecture,
    ( inverse(sk_c1) = sk_c12
    | multiply(sk_c6,sk_c9) = sk_c12 ),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',prove_this_25) ).

cnf(prove_this_21,negated_conjecture,
    ( inverse(sk_c1) = sk_c12
    | multiply(sk_c4,sk_c12) = sk_c11 ),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',prove_this_21) ).

cnf(prove_this_22,negated_conjecture,
    ( inverse(sk_c1) = sk_c12
    | inverse(sk_c4) = sk_c12 ),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',prove_this_22) ).

cnf(prove_this_42,negated_conjecture,
    ( multiply(sk_c2,sk_c3) = sk_c11
    | inverse(sk_c4) = sk_c12 ),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',prove_this_42) ).

cnf(prove_this_32,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c12
    | inverse(sk_c4) = sk_c12 ),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',prove_this_32) ).

cnf(prove_this_31,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c12
    | multiply(sk_c4,sk_c12) = sk_c11 ),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',prove_this_31) ).

cnf(prove_this_56,negated_conjecture,
    ( inverse(sk_c2) = sk_c3
    | inverse(sk_c6) = sk_c9 ),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',prove_this_56) ).

cnf(prove_this_55,negated_conjecture,
    ( inverse(sk_c2) = sk_c3
    | multiply(sk_c6,sk_c9) = sk_c12 ),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',prove_this_55) ).

cnf(prove_this_52,negated_conjecture,
    ( inverse(sk_c2) = sk_c3
    | inverse(sk_c4) = sk_c12 ),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',prove_this_52) ).

cnf(prove_this_14,negated_conjecture,
    ( multiply(sk_c11,sk_c10) = sk_c12
    | inverse(sk_c5) = sk_c11 ),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',prove_this_14) ).

cnf(prove_this_13,negated_conjecture,
    ( multiply(sk_c11,sk_c10) = sk_c12
    | multiply(sk_c5,sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',prove_this_13) ).

cnf(prove_this_41,negated_conjecture,
    ( multiply(sk_c2,sk_c3) = sk_c11
    | multiply(sk_c4,sk_c12) = sk_c11 ),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',prove_this_41) ).

cnf(prove_this_71,negated_conjecture,
    ( inverse(sk_c12) != sk_c11
    | multiply(sk_c11,sk_c10) != sk_c12
    | inverse(X1) != sk_c12
    | multiply(X1,sk_c11) != sk_c12
    | multiply(X2,X3) != sk_c11
    | inverse(X2) != X3
    | multiply(X3,sk_c12) != sk_c11
    | multiply(X4,sk_c12) != sk_c11
    | inverse(X4) != sk_c12
    | multiply(X5,sk_c11) != sk_c10
    | inverse(X5) != sk_c11
    | multiply(X6,X7) != sk_c12
    | inverse(X6) != X7
    | multiply(X7,sk_c11) != sk_c12
    | inverse(X8) != X9
    | inverse(X9) != X7
    | multiply(X8,X7) != X9 ),
    file('/export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p',prove_this_71) ).

cnf(c_0_23,axiom,
    multiply(identity,X1) = X1,
    left_identity ).

cnf(c_0_24,axiom,
    multiply(inverse(X1),X1) = identity,
    left_inverse ).

cnf(c_0_25,axiom,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    associativity ).

cnf(c_0_26,plain,
    multiply(inverse(X1),multiply(X1,X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).

cnf(c_0_27,plain,
    multiply(inverse(inverse(X1)),identity) = X1,
    inference(spm,[status(thm)],[c_0_26,c_0_24]) ).

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

cnf(c_0_29,plain,
    multiply(X1,identity) = X1,
    inference(rw,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_30,negated_conjecture,
    ( inverse(sk_c12) = sk_c11
    | multiply(sk_c5,sk_c11) = sk_c10 ),
    prove_this_3 ).

cnf(c_0_31,plain,
    inverse(inverse(X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_29]) ).

cnf(c_0_32,negated_conjecture,
    ( inverse(sk_c12) = sk_c11
    | inverse(sk_c5) = sk_c11 ),
    prove_this_4 ).

cnf(c_0_33,negated_conjecture,
    ( multiply(sk_c5,multiply(sk_c11,X1)) = multiply(sk_c10,X1)
    | inverse(sk_c12) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_25,c_0_30]) ).

cnf(c_0_34,negated_conjecture,
    ( inverse(sk_c12) = sk_c11
    | sk_c5 = inverse(sk_c11) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_35,plain,
    multiply(X1,inverse(X1)) = identity,
    inference(spm,[status(thm)],[c_0_24,c_0_31]) ).

cnf(c_0_36,negated_conjecture,
    ( inverse(sk_c12) = sk_c11
    | inverse(sk_c6) = sk_c9 ),
    prove_this_6 ).

cnf(c_0_37,negated_conjecture,
    ( inverse(sk_c12) = sk_c11
    | multiply(sk_c10,X1) = X1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_26]) ).

cnf(c_0_38,negated_conjecture,
    ( inverse(sk_c12) = sk_c11
    | multiply(sk_c6,sk_c9) = sk_c12 ),
    prove_this_5 ).

cnf(c_0_39,negated_conjecture,
    ( multiply(sk_c6,sk_c9) = identity
    | inverse(sk_c12) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,negated_conjecture,
    ( inverse(sk_c12) = sk_c11
    | identity = sk_c10 ),
    inference(spm,[status(thm)],[c_0_29,c_0_37]) ).

cnf(c_0_41,negated_conjecture,
    ( inverse(sk_c12) = sk_c11
    | identity = sk_c12 ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_42,negated_conjecture,
    ( inverse(sk_c12) = sk_c11
    | inverse(sk_c4) = sk_c12 ),
    prove_this_2 ).

cnf(c_0_43,negated_conjecture,
    ( inverse(sk_c12) = sk_c11
    | inverse(sk_c10) = identity ),
    inference(spm,[status(thm)],[c_0_35,c_0_37]) ).

cnf(c_0_44,negated_conjecture,
    ( inverse(sk_c12) = sk_c11
    | sk_c10 = sk_c12 ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_45,negated_conjecture,
    ( inverse(sk_c12) = sk_c11
    | multiply(sk_c4,sk_c12) = sk_c11 ),
    prove_this_1 ).

cnf(c_0_46,negated_conjecture,
    ( multiply(sk_c4,sk_c12) = identity
    | inverse(sk_c12) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_35,c_0_42]) ).

cnf(c_0_47,plain,
    multiply(inverse(identity),X1) = X1,
    inference(spm,[status(thm)],[c_0_26,c_0_23]) ).

cnf(c_0_48,negated_conjecture,
    ( identity = inverse(sk_c12)
    | inverse(sk_c12) = sk_c11 ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_49,negated_conjecture,
    ( inverse(sk_c12) = sk_c11
    | identity = sk_c11 ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_50,plain,
    multiply(inverse(inverse(identity)),X1) = X1,
    inference(spm,[status(thm)],[c_0_26,c_0_47]) ).

cnf(c_0_51,plain,
    multiply(X1,multiply(inverse(X2),X2)) = X1,
    inference(spm,[status(thm)],[c_0_29,c_0_24]) ).

cnf(c_0_52,plain,
    multiply(inverse(X1),X1) = multiply(inverse(X2),X2),
    inference(spm,[status(thm)],[c_0_24,c_0_24]) ).

cnf(c_0_53,negated_conjecture,
    inverse(sk_c12) = sk_c11,
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_54,negated_conjecture,
    ( inverse(sk_c1) = sk_c12
    | inverse(sk_c6) = sk_c9 ),
    prove_this_26 ).

cnf(c_0_55,plain,
    inverse(identity) = identity,
    inference(spm,[status(thm)],[c_0_24,c_0_50]) ).

cnf(c_0_56,plain,
    inverse(multiply(inverse(X1),X1)) = identity,
    inference(spm,[status(thm)],[c_0_24,c_0_51]) ).

cnf(c_0_57,negated_conjecture,
    multiply(inverse(X1),X1) = multiply(sk_c11,sk_c12),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_58,negated_conjecture,
    inverse(sk_c11) = sk_c12,
    inference(spm,[status(thm)],[c_0_31,c_0_53]) ).

cnf(c_0_59,negated_conjecture,
    ( inverse(sk_c1) = sk_c12
    | multiply(sk_c6,sk_c9) = sk_c12 ),
    prove_this_25 ).

cnf(c_0_60,negated_conjecture,
    ( multiply(sk_c6,sk_c9) = identity
    | inverse(sk_c1) = sk_c12 ),
    inference(spm,[status(thm)],[c_0_35,c_0_54]) ).

cnf(c_0_61,negated_conjecture,
    ( inverse(sk_c1) = sk_c12
    | multiply(sk_c4,sk_c12) = sk_c11 ),
    prove_this_21 ).

cnf(c_0_62,negated_conjecture,
    ( inverse(sk_c12) = sk_c11
    | inverse(sk_c12) = sk_c12 ),
    inference(spm,[status(thm)],[c_0_55,c_0_41]) ).

cnf(c_0_63,negated_conjecture,
    ( inverse(sk_c1) = sk_c12
    | inverse(sk_c4) = sk_c12 ),
    prove_this_22 ).

cnf(c_0_64,negated_conjecture,
    identity = inverse(multiply(sk_c11,sk_c12)),
    inference(spm,[status(thm)],[c_0_56,c_0_53]) ).

cnf(c_0_65,negated_conjecture,
    multiply(sk_c11,sk_c12) = multiply(sk_c12,sk_c11),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_66,negated_conjecture,
    ( inverse(sk_c1) = sk_c12
    | identity = sk_c12 ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_67,negated_conjecture,
    ( multiply(sk_c2,sk_c3) = sk_c11
    | inverse(sk_c4) = sk_c12 ),
    prove_this_42 ).

cnf(c_0_68,plain,
    multiply(X1,multiply(X2,inverse(X2))) = X1,
    inference(spm,[status(thm)],[c_0_29,c_0_35]) ).

cnf(c_0_69,negated_conjecture,
    ( multiply(sk_c4,multiply(sk_c12,X1)) = multiply(sk_c11,X1)
    | inverse(sk_c1) = sk_c12 ),
    inference(spm,[status(thm)],[c_0_25,c_0_61]) ).

cnf(c_0_70,negated_conjecture,
    ( inverse(sk_c12) = sk_c12
    | sk_c11 != sk_c12 ),
    inference(ef,[status(thm)],[c_0_62]) ).

cnf(c_0_71,negated_conjecture,
    ( multiply(sk_c12,sk_c4) = identity
    | inverse(sk_c1) = sk_c12 ),
    inference(spm,[status(thm)],[c_0_24,c_0_63]) ).

cnf(c_0_72,plain,
    inverse(multiply(sk_c12,sk_c11)) = multiply(sk_c12,sk_c11),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_64]),c_0_31]),c_0_64]),c_0_65]),c_0_65]) ).

cnf(c_0_73,negated_conjecture,
    ( inverse(sk_c1) = sk_c12
    | inverse(sk_c12) = sk_c12 ),
    inference(spm,[status(thm)],[c_0_55,c_0_66]) ).

cnf(c_0_74,negated_conjecture,
    ( multiply(inverse(sk_c2),sk_c11) = sk_c3
    | inverse(sk_c4) = sk_c12 ),
    inference(spm,[status(thm)],[c_0_26,c_0_67]) ).

cnf(c_0_75,negated_conjecture,
    multiply(inverse(X1),X1) = multiply(sk_c12,sk_c11),
    inference(rw,[status(thm)],[c_0_57,c_0_65]) ).

cnf(c_0_76,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c12
    | inverse(sk_c4) = sk_c12 ),
    prove_this_32 ).

cnf(c_0_77,negated_conjecture,
    ( sk_c4 = multiply(sk_c11,inverse(sk_c12))
    | inverse(sk_c1) = sk_c12 ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_78,negated_conjecture,
    ( multiply(sk_c12,multiply(sk_c12,X1)) = X1
    | sk_c11 != sk_c12 ),
    inference(spm,[status(thm)],[c_0_26,c_0_70]) ).

cnf(c_0_79,negated_conjecture,
    ( multiply(sk_c12,sk_c4) = multiply(sk_c12,sk_c11)
    | inverse(sk_c1) = sk_c12 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_64]),c_0_65]),c_0_72]) ).

cnf(c_0_80,plain,
    multiply(X1,multiply(sk_c12,sk_c11)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_57]),c_0_65]) ).

cnf(c_0_81,negated_conjecture,
    ( inverse(sk_c1) = sk_c12
    | sk_c11 = sk_c12 ),
    inference(rw,[status(thm)],[c_0_73,c_0_53]) ).

cnf(c_0_82,negated_conjecture,
    ( multiply(inverse(sk_c2),multiply(sk_c11,X1)) = multiply(sk_c3,X1)
    | inverse(sk_c4) = sk_c12 ),
    inference(spm,[status(thm)],[c_0_25,c_0_74]) ).

cnf(c_0_83,negated_conjecture,
    multiply(X1,inverse(X1)) = multiply(sk_c12,sk_c11),
    inference(spm,[status(thm)],[c_0_75,c_0_31]) ).

cnf(c_0_84,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c12
    | multiply(sk_c12,sk_c4) = identity ),
    inference(spm,[status(thm)],[c_0_24,c_0_76]) ).

cnf(c_0_85,negated_conjecture,
    ( sk_c4 = multiply(sk_c11,inverse(sk_c12))
    | sk_c1 = inverse(sk_c12) ),
    inference(spm,[status(thm)],[c_0_31,c_0_77]) ).

cnf(c_0_86,negated_conjecture,
    ( inverse(sk_c1) = sk_c12
    | sk_c4 = sk_c12 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_81]) ).

cnf(c_0_87,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c12
    | multiply(sk_c4,sk_c12) = sk_c11 ),
    prove_this_31 ).

cnf(c_0_88,negated_conjecture,
    ( inverse(sk_c2) = multiply(sk_c3,sk_c12)
    | inverse(sk_c4) = sk_c12 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_80]),c_0_58]) ).

cnf(c_0_89,negated_conjecture,
    ( multiply(sk_c12,sk_c4) = multiply(sk_c12,sk_c11)
    | multiply(sk_c1,sk_c11) = sk_c12 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_64]),c_0_65]),c_0_72]) ).

cnf(c_0_90,negated_conjecture,
    ( sk_c4 = multiply(sk_c11,sk_c11)
    | sk_c1 = sk_c11 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_53]),c_0_53]) ).

cnf(c_0_91,negated_conjecture,
    ( sk_c4 = sk_c12
    | sk_c1 = sk_c11 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_86]),c_0_53]) ).

cnf(c_0_92,negated_conjecture,
    ( multiply(sk_c4,multiply(sk_c12,X1)) = multiply(sk_c11,X1)
    | multiply(sk_c1,sk_c11) = sk_c12 ),
    inference(spm,[status(thm)],[c_0_25,c_0_87]) ).

cnf(c_0_93,plain,
    multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X3))) = X3,
    inference(spm,[status(thm)],[c_0_26,c_0_25]) ).

cnf(c_0_94,negated_conjecture,
    ( inverse(sk_c2) = multiply(sk_c3,sk_c12)
    | sk_c4 = sk_c11 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_88]),c_0_53]) ).

cnf(c_0_95,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c12
    | sk_c4 = sk_c12
    | sk_c11 != sk_c12 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_89]),c_0_80]) ).

cnf(c_0_96,negated_conjecture,
    ( multiply(sk_c11,sk_c11) = sk_c12
    | sk_c1 = sk_c11 ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_97,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c12
    | sk_c4 = multiply(sk_c11,sk_c11) ),
    inference(spm,[status(thm)],[c_0_92,c_0_80]) ).

cnf(c_0_98,negated_conjecture,
    ( inverse(sk_c2) = sk_c3
    | inverse(sk_c6) = sk_c9 ),
    prove_this_56 ).

cnf(c_0_99,negated_conjecture,
    ( inverse(sk_c1) = sk_c12
    | sk_c4 = inverse(sk_c12) ),
    inference(spm,[status(thm)],[c_0_31,c_0_63]) ).

cnf(c_0_100,negated_conjecture,
    multiply(inverse(multiply(X1,X2)),X1) = inverse(X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_83]),c_0_80]) ).

cnf(c_0_101,negated_conjecture,
    ( inverse(multiply(sk_c3,sk_c12)) = sk_c2
    | sk_c4 = sk_c11 ),
    inference(spm,[status(thm)],[c_0_31,c_0_94]) ).

cnf(c_0_102,negated_conjecture,
    ( multiply(sk_c11,sk_c11) = sk_c12
    | sk_c4 = sk_c12
    | sk_c11 != sk_c12 ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_103,negated_conjecture,
    ( sk_c4 = multiply(sk_c11,sk_c11)
    | multiply(sk_c11,sk_c11) = sk_c12 ),
    inference(spm,[status(thm)],[c_0_97,c_0_96]) ).

cnf(c_0_104,negated_conjecture,
    ( inverse(sk_c2) = sk_c3
    | multiply(sk_c6,sk_c9) = sk_c12 ),
    prove_this_55 ).

cnf(c_0_105,negated_conjecture,
    ( multiply(sk_c6,sk_c9) = identity
    | inverse(sk_c2) = sk_c3 ),
    inference(spm,[status(thm)],[c_0_35,c_0_98]) ).

cnf(c_0_106,plain,
    multiply(X1,multiply(inverse(X1),X2)) = X2,
    inference(spm,[status(thm)],[c_0_26,c_0_31]) ).

cnf(c_0_107,negated_conjecture,
    ( inverse(sk_c1) = sk_c12
    | sk_c4 = sk_c11 ),
    inference(rw,[status(thm)],[c_0_99,c_0_53]) ).

cnf(c_0_108,negated_conjecture,
    ( multiply(sk_c2,sk_c3) = sk_c11
    | sk_c4 = sk_c11 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_53]) ).

cnf(c_0_109,negated_conjecture,
    ( multiply(sk_c11,sk_c11) = sk_c12
    | sk_c11 != sk_c12 ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_110,negated_conjecture,
    ( inverse(sk_c2) = sk_c3
    | identity = sk_c12 ),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_111,negated_conjecture,
    ( multiply(sk_c1,multiply(sk_c12,X1)) = X1
    | sk_c4 = sk_c11 ),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_112,negated_conjecture,
    ( multiply(sk_c12,sk_c2) = inverse(sk_c3)
    | sk_c4 = sk_c11 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_108]),c_0_58]) ).

cnf(c_0_113,negated_conjecture,
    ( inverse(sk_c2) = sk_c3
    | inverse(sk_c4) = sk_c12 ),
    prove_this_52 ).

cnf(c_0_114,negated_conjecture,
    ( multiply(sk_c12,sk_c12) = sk_c11
    | sk_c11 != sk_c12 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_109]),c_0_58]) ).

cnf(c_0_115,negated_conjecture,
    ( inverse(sk_c2) = sk_c3
    | inverse(sk_c12) = sk_c12 ),
    inference(spm,[status(thm)],[c_0_55,c_0_110]) ).

cnf(c_0_116,negated_conjecture,
    ( multiply(sk_c1,inverse(sk_c3)) = sk_c2
    | sk_c4 = sk_c11 ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_117,negated_conjecture,
    ( inverse(sk_c2) = sk_c3
    | sk_c4 = inverse(sk_c12) ),
    inference(spm,[status(thm)],[c_0_31,c_0_113]) ).

cnf(c_0_118,negated_conjecture,
    ( multiply(sk_c12,sk_c11) = sk_c12
    | sk_c11 != sk_c12 ),
    inference(spm,[status(thm)],[c_0_78,c_0_114]) ).

cnf(c_0_119,negated_conjecture,
    multiply(sk_c12,multiply(sk_c11,X1)) = X1,
    inference(spm,[status(thm)],[c_0_106,c_0_53]) ).

cnf(c_0_120,negated_conjecture,
    multiply(sk_c11,multiply(sk_c12,X1)) = X1,
    inference(spm,[status(thm)],[c_0_26,c_0_53]) ).

cnf(c_0_121,negated_conjecture,
    ( multiply(sk_c11,sk_c10) = sk_c12
    | inverse(sk_c5) = sk_c11 ),
    prove_this_14 ).

cnf(c_0_122,negated_conjecture,
    ( inverse(sk_c12) = sk_c12
    | inverse(sk_c3) = sk_c2 ),
    inference(spm,[status(thm)],[c_0_31,c_0_115]) ).

cnf(c_0_123,negated_conjecture,
    ( multiply(sk_c1,sk_c11) = sk_c12
    | sk_c4 = inverse(sk_c12) ),
    inference(spm,[status(thm)],[c_0_31,c_0_76]) ).

cnf(c_0_124,negated_conjecture,
    ( multiply(inverse(sk_c2),sk_c1) = sk_c3
    | sk_c4 = sk_c11 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_116]),c_0_31]) ).

cnf(c_0_125,negated_conjecture,
    ( inverse(sk_c2) = sk_c3
    | sk_c4 = sk_c11 ),
    inference(rw,[status(thm)],[c_0_117,c_0_53]) ).

cnf(c_0_126,negated_conjecture,
    ( multiply(sk_c12,X1) = X1
    | sk_c11 != sk_c12 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_118]),c_0_119]) ).

cnf(c_0_127,plain,
    multiply(X1,multiply(X2,multiply(inverse(multiply(X1,X2)),X3))) = X3,
    inference(spm,[status(thm)],[c_0_25,c_0_106]) ).

cnf(c_0_128,negated_conjecture,
    inverse(multiply(sk_c12,X1)) = multiply(inverse(X1),sk_c11),
    inference(spm,[status(thm)],[c_0_100,c_0_120]) ).

cnf(c_0_129,negated_conjecture,
    ( multiply(sk_c11,sk_c10) = sk_c12
    | multiply(sk_c11,sk_c5) = identity ),
    inference(spm,[status(thm)],[c_0_24,c_0_121]) ).

cnf(c_0_130,negated_conjecture,
    ( inverse(sk_c3) = sk_c2
    | sk_c11 = sk_c12 ),
    inference(rw,[status(thm)],[c_0_122,c_0_53]) ).

cnf(c_0_131,negated_conjecture,
    ( multiply(inverse(sk_c1),sk_c12) = sk_c11
    | sk_c4 = inverse(sk_c12) ),
    inference(spm,[status(thm)],[c_0_26,c_0_123]) ).

cnf(c_0_132,negated_conjecture,
    ( multiply(sk_c3,sk_c1) = sk_c3
    | sk_c4 = sk_c11 ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_133,negated_conjecture,
    ( multiply(sk_c11,sk_c10) = sk_c12
    | multiply(sk_c5,sk_c11) = sk_c10 ),
    prove_this_13 ).

cnf(c_0_134,negated_conjecture,
    ( multiply(X1,sk_c11) = X1
    | sk_c11 != sk_c12 ),
    inference(spm,[status(thm)],[c_0_80,c_0_126]) ).

cnf(c_0_135,negated_conjecture,
    ( multiply(sk_c11,multiply(sk_c11,X1)) = X1
    | sk_c11 != sk_c12 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_127]),c_0_128]),c_0_53]),c_0_25]) ).

cnf(c_0_136,negated_conjecture,
    ( multiply(sk_c11,sk_c5) = multiply(sk_c12,sk_c11)
    | multiply(sk_c11,sk_c10) = sk_c12 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_64]),c_0_65]),c_0_72]) ).

cnf(c_0_137,negated_conjecture,
    ( multiply(sk_c2,sk_c3) = sk_c11
    | multiply(sk_c4,sk_c12) = sk_c11 ),
    prove_this_41 ).

cnf(c_0_138,negated_conjecture,
    ( multiply(sk_c2,sk_c3) = multiply(sk_c12,sk_c11)
    | sk_c11 = sk_c12 ),
    inference(spm,[status(thm)],[c_0_75,c_0_130]) ).

cnf(c_0_139,negated_conjecture,
    ( multiply(inverse(sk_c1),sk_c12) = sk_c11
    | sk_c4 = sk_c11 ),
    inference(rw,[status(thm)],[c_0_131,c_0_53]) ).

cnf(c_0_140,negated_conjecture,
    ( inverse(sk_c1) = multiply(sk_c12,sk_c11)
    | sk_c4 = sk_c11 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_132]),c_0_75]) ).

cnf(c_0_141,negated_conjecture,
    ( multiply(sk_c11,sk_c10) = sk_c12
    | sk_c5 = sk_c10
    | sk_c11 != sk_c12 ),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_142,negated_conjecture,
    ( multiply(sk_c11,sk_c10) = sk_c12
    | sk_c5 = sk_c11
    | sk_c11 != sk_c12 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_120]) ).

cnf(c_0_143,negated_conjecture,
    ( inverse(sk_c12) != sk_c11
    | multiply(sk_c11,sk_c10) != sk_c12
    | inverse(X1) != sk_c12
    | multiply(X1,sk_c11) != sk_c12
    | multiply(X2,X3) != sk_c11
    | inverse(X2) != X3
    | multiply(X3,sk_c12) != sk_c11
    | multiply(X4,sk_c12) != sk_c11
    | inverse(X4) != sk_c12
    | multiply(X5,sk_c11) != sk_c10
    | inverse(X5) != sk_c11
    | multiply(X6,X7) != sk_c12
    | inverse(X6) != X7
    | multiply(X7,sk_c11) != sk_c12
    | inverse(X8) != X9
    | inverse(X9) != X7
    | multiply(X8,X7) != X9 ),
    prove_this_71 ).

cnf(c_0_144,negated_conjecture,
    multiply(X1,inverse(multiply(X2,X1))) = inverse(X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_100]),c_0_31]) ).

cnf(c_0_145,negated_conjecture,
    ( multiply(sk_c12,sk_c11) = sk_c11
    | multiply(sk_c4,sk_c12) = sk_c11 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_126]) ).

cnf(c_0_146,negated_conjecture,
    ( sk_c4 = sk_c11
    | sk_c11 = sk_c12 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_25]),c_0_65]),c_0_80]) ).

cnf(c_0_147,negated_conjecture,
    ( sk_c10 = multiply(sk_c12,sk_c12)
    | sk_c5 = sk_c10
    | sk_c11 != sk_c12 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_141]),c_0_58]) ).

cnf(c_0_148,negated_conjecture,
    ( sk_c10 = multiply(sk_c12,sk_c12)
    | sk_c5 = sk_c11
    | sk_c11 != sk_c12 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_142]),c_0_58]) ).

cnf(c_0_149,negated_conjecture,
    ( inverse(multiply(X1,inverse(X2))) != inverse(X2)
    | multiply(inverse(X2),sk_c11) != sk_c12
    | multiply(inverse(X3),sk_c12) != sk_c11
    | multiply(X1,inverse(X2)) != inverse(X1)
    | multiply(sk_c11,sk_c10) != sk_c12
    | multiply(X2,inverse(X2)) != sk_c12
    | multiply(X3,inverse(X3)) != sk_c11
    | multiply(X4,sk_c11) != sk_c10
    | multiply(X5,sk_c12) != sk_c11
    | multiply(X6,sk_c11) != sk_c12
    | inverse(sk_c12) != sk_c11
    | inverse(X4) != sk_c11
    | inverse(X5) != sk_c12
    | inverse(X6) != sk_c12 ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_143])])]) ).

cnf(c_0_150,negated_conjecture,
    inverse(multiply(X1,sk_c11)) = multiply(sk_c12,inverse(X1)),
    inference(spm,[status(thm)],[c_0_119,c_0_144]) ).

cnf(c_0_151,negated_conjecture,
    multiply(sk_c12,sk_c11) = sk_c11,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_65])]),c_0_126]) ).

cnf(c_0_152,negated_conjecture,
    ( sk_c10 = multiply(sk_c12,sk_c12)
    | sk_c10 = sk_c11
    | sk_c11 != sk_c12 ),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_153,negated_conjecture,
    ( inverse(multiply(X1,inverse(X2))) != inverse(X2)
    | multiply(inverse(X2),sk_c11) != sk_c12
    | multiply(inverse(X3),sk_c12) != sk_c11
    | multiply(X1,inverse(X2)) != inverse(X1)
    | multiply(sk_c11,sk_c10) != sk_c12
    | multiply(X2,inverse(X2)) != sk_c12
    | multiply(X3,inverse(X3)) != sk_c11
    | multiply(X4,sk_c11) != sk_c10
    | multiply(X5,sk_c12) != sk_c11
    | multiply(X6,sk_c11) != sk_c12
    | inverse(X4) != sk_c11
    | inverse(X5) != sk_c12
    | inverse(X6) != sk_c12 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_53])]) ).

cnf(c_0_154,negated_conjecture,
    sk_c11 = sk_c12,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_58]),c_0_53]),c_0_151]) ).

cnf(c_0_155,negated_conjecture,
    ( sk_c10 = sk_c11
    | sk_c11 != sk_c12 ),
    inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_152]),c_0_114]) ).

cnf(c_0_156,negated_conjecture,
    ( inverse(multiply(X1,inverse(X2))) != inverse(X2)
    | multiply(inverse(X2),sk_c11) != sk_c12
    | multiply(inverse(X3),sk_c12) != sk_c11
    | multiply(X1,inverse(X2)) != inverse(X1)
    | multiply(sk_c11,sk_c10) != sk_c12
    | multiply(sk_c12,sk_c11) != sk_c12
    | multiply(sk_c12,sk_c11) != sk_c11
    | multiply(X4,sk_c11) != sk_c10
    | multiply(X5,sk_c12) != sk_c11
    | multiply(X6,sk_c11) != sk_c12
    | inverse(X4) != sk_c11
    | inverse(X5) != sk_c12
    | inverse(X6) != sk_c12 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_83]),c_0_83]) ).

cnf(c_0_157,plain,
    multiply(X1,sk_c12) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_151]),c_0_154]) ).

cnf(c_0_158,negated_conjecture,
    sk_c10 = sk_c12,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_154]),c_0_154])]) ).

cnf(c_0_159,negated_conjecture,
    ( inverse(multiply(X1,inverse(X2))) != inverse(X2)
    | multiply(X1,inverse(X2)) != inverse(X1)
    | inverse(X2) != sk_c12
    | inverse(X3) != sk_c12 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[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)],[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_156,c_0_151]),c_0_151])]),c_0_154]),c_0_157]),c_0_157]),c_0_154]),c_0_154]),c_0_158]),c_0_157]),c_0_154]),c_0_154]),c_0_157]),c_0_158]),c_0_157]),c_0_154]),c_0_154]),c_0_157]),c_0_154])])])])]),c_0_53]),c_0_154])]) ).

cnf(c_0_160,negated_conjecture,
    multiply(inverse(X1),X1) = sk_c12,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_151]),c_0_154]) ).

cnf(c_0_161,negated_conjecture,
    ( inverse(X1) != sk_c12
    | inverse(X2) != sk_c12 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_53]),c_0_154]),c_0_31])]) ).

cnf(c_0_162,negated_conjecture,
    inverse(sk_c12) = sk_c12,
    inference(rw,[status(thm)],[c_0_53,c_0_154]) ).

cnf(c_0_163,negated_conjecture,
    inverse(X1) != sk_c12,
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_164,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_63,c_0_163]),c_0_163]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.13  % Problem    : GRP382-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n001.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Oct  3 03:33:07 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order model finding
% 0.20/0.49  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.CqqsJ8kfiP/E---3.1_21754.p
% 12.01/2.00  # Version: 3.1pre001
% 12.01/2.00  # Preprocessing class: FSLSSMSMSSSNFFN.
% 12.01/2.00  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.01/2.00  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 12.01/2.00  # Starting new_bool_3 with 300s (1) cores
% 12.01/2.00  # Starting new_bool_1 with 300s (1) cores
% 12.01/2.00  # Starting sh5l with 300s (1) cores
% 12.01/2.00  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 21832 completed with status 0
% 12.01/2.00  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 12.01/2.00  # Preprocessing class: FSLSSMSMSSSNFFN.
% 12.01/2.00  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.01/2.00  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 12.01/2.00  # No SInE strategy applied
% 12.01/2.00  # Search class: FGHPS-FFMM21-SFFFFFNN
% 12.01/2.00  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 12.01/2.00  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 12.01/2.00  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 12.01/2.00  # Starting new_bool_3 with 136s (1) cores
% 12.01/2.00  # Starting new_bool_1 with 136s (1) cores
% 12.01/2.00  # Starting sh5l with 136s (1) cores
% 12.01/2.00  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 21838 completed with status 0
% 12.01/2.00  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 12.01/2.00  # Preprocessing class: FSLSSMSMSSSNFFN.
% 12.01/2.00  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.01/2.00  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 12.01/2.00  # No SInE strategy applied
% 12.01/2.00  # Search class: FGHPS-FFMM21-SFFFFFNN
% 12.01/2.00  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 12.01/2.00  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 12.01/2.00  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 12.01/2.00  # Preprocessing time       : 0.001 s
% 12.01/2.00  # Presaturation interreduction done
% 12.01/2.00  
% 12.01/2.00  # Proof found!
% 12.01/2.00  # SZS status Unsatisfiable
% 12.01/2.00  # SZS output start CNFRefutation
% See solution above
% 12.01/2.00  # Parsed axioms                        : 74
% 12.01/2.00  # Removed by relevancy pruning/SinE    : 0
% 12.01/2.00  # Initial clauses                      : 74
% 12.01/2.00  # Removed in clause preprocessing      : 0
% 12.01/2.00  # Initial clauses in saturation        : 74
% 12.01/2.00  # Processed clauses                    : 22681
% 12.01/2.00  # ...of these trivial                  : 556
% 12.01/2.00  # ...subsumed                          : 19412
% 12.01/2.00  # ...remaining for further processing  : 2713
% 12.01/2.00  # Other redundant clauses eliminated   : 9
% 12.01/2.00  # Clauses deleted for lack of memory   : 0
% 12.01/2.00  # Backward-subsumed                    : 345
% 12.01/2.00  # Backward-rewritten                   : 1940
% 12.01/2.00  # Generated clauses                    : 167630
% 12.01/2.00  # ...of the previous two non-redundant : 145210
% 12.01/2.00  # ...aggressively subsumed             : 0
% 12.01/2.00  # Contextual simplify-reflections      : 110
% 12.01/2.00  # Paramodulations                      : 167541
% 12.01/2.00  # Factorizations                       : 11
% 12.01/2.00  # NegExts                              : 0
% 12.01/2.00  # Equation resolutions                 : 9
% 12.01/2.00  # Total rewrite steps                  : 98422
% 12.01/2.00  # Propositional unsat checks           : 0
% 12.01/2.00  #    Propositional check models        : 0
% 12.01/2.00  #    Propositional check unsatisfiable : 0
% 12.01/2.00  #    Propositional clauses             : 0
% 12.01/2.00  #    Propositional clauses after purity: 0
% 12.01/2.00  #    Propositional unsat core size     : 0
% 12.01/2.00  #    Propositional preprocessing time  : 0.000
% 12.01/2.00  #    Propositional encoding time       : 0.000
% 12.01/2.00  #    Propositional solver time         : 0.000
% 12.01/2.00  #    Success case prop preproc time    : 0.000
% 12.01/2.00  #    Success case prop encoding time   : 0.000
% 12.01/2.00  #    Success case prop solver time     : 0.000
% 12.01/2.00  # Current number of processed clauses  : 279
% 12.01/2.00  #    Positive orientable unit clauses  : 15
% 12.01/2.00  #    Positive unorientable unit clauses: 0
% 12.01/2.00  #    Negative unit clauses             : 1
% 12.01/2.00  #    Non-unit-clauses                  : 263
% 12.01/2.00  # Current number of unprocessed clauses: 117452
% 12.01/2.00  # ...number of literals in the above   : 401649
% 12.01/2.00  # Current number of archived formulas  : 0
% 12.01/2.00  # Current number of archived clauses   : 2432
% 12.01/2.00  # Clause-clause subsumption calls (NU) : 400479
% 12.01/2.00  # Rec. Clause-clause subsumption calls : 224988
% 12.01/2.00  # Non-unit clause-clause subsumptions  : 19824
% 12.01/2.00  # Unit Clause-clause subsumption calls : 1739
% 12.01/2.00  # Rewrite failures with RHS unbound    : 27
% 12.01/2.00  # BW rewrite match attempts            : 115
% 12.01/2.00  # BW rewrite match successes           : 63
% 12.01/2.00  # Condensation attempts                : 0
% 12.01/2.00  # Condensation successes               : 0
% 12.01/2.00  # Termbank termtop insertions          : 1556477
% 12.01/2.00  
% 12.01/2.00  # -------------------------------------------------
% 12.01/2.00  # User time                : 1.444 s
% 12.01/2.00  # System time              : 0.054 s
% 12.01/2.00  # Total time               : 1.498 s
% 12.01/2.00  # Maximum resident set size: 1672 pages
% 12.01/2.00  
% 12.01/2.00  # -------------------------------------------------
% 12.01/2.00  # User time                : 7.394 s
% 12.01/2.00  # System time              : 0.083 s
% 12.01/2.00  # Total time               : 7.478 s
% 12.01/2.00  # Maximum resident set size: 1728 pages
% 12.01/2.00  % E---3.1 exiting
%------------------------------------------------------------------------------