TSTP Solution File: GRP779+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP779+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n012.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 : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 08:40:38 EDT 2022
% Result : Theorem 13.92s 3.05s
% Output : CNFRefutation 13.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of clauses : 115 ( 111 unt; 0 nHn; 62 RR)
% Number of literals : 119 ( 102 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 129 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_5,plain,
product(product(X1,X2),product(X3,X4)) = product(product(X1,X3),product(X2,X4)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bjk756w1/input.p',i_0_5) ).
cnf(i_0_6,plain,
product(X1,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bjk756w1/input.p',i_0_6) ).
cnf(i_0_9,plain,
( product(X1,X2) = product(X2,X3)
| ~ d(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bjk756w1/input.p',i_0_9) ).
cnf(i_0_15,plain,
d(a,b1,c1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bjk756w1/input.p',i_0_15) ).
cnf(i_0_7,plain,
product(product(product(X1,X2),X2),product(X2,product(X2,X1))) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bjk756w1/input.p',i_0_7) ).
cnf(i_0_4,plain,
product(quotient(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bjk756w1/input.p',i_0_4) ).
cnf(i_0_12,plain,
d(b,bigA,c),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bjk756w1/input.p',i_0_12) ).
cnf(i_0_1,plain,
difference(X1,product(X1,X2)) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bjk756w1/input.p',i_0_1) ).
cnf(i_0_17,plain,
d(a1,b1,c),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bjk756w1/input.p',i_0_17) ).
cnf(i_0_3,plain,
quotient(product(X1,X2),X2) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bjk756w1/input.p',i_0_3) ).
cnf(i_0_2,plain,
product(X1,difference(X1,X2)) = X2,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bjk756w1/input.p',i_0_2) ).
cnf(i_0_16,plain,
d(a1,b,c1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bjk756w1/input.p',i_0_16) ).
cnf(i_0_14,plain,
d(b,a,bigC),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bjk756w1/input.p',i_0_14) ).
cnf(i_0_18,negated_conjecture,
~ m(bigA,b1,bigC),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bjk756w1/input.p',i_0_18) ).
cnf(i_0_10,plain,
( m(X1,X2,X3)
| product(product(X1,X2),product(X2,X3)) != product(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-bjk756w1/input.p',i_0_10) ).
cnf(c_0_34,plain,
product(product(X1,X2),product(X3,X4)) = product(product(X1,X3),product(X2,X4)),
i_0_5 ).
cnf(c_0_35,plain,
product(X1,X1) = X1,
i_0_6 ).
cnf(c_0_36,plain,
( product(X1,X2) = product(X2,X3)
| ~ d(X1,X2,X3) ),
i_0_9 ).
cnf(c_0_37,plain,
d(a,b1,c1),
i_0_15 ).
cnf(c_0_38,plain,
product(product(product(X1,X2),X2),product(X2,product(X2,X1))) = X2,
i_0_7 ).
cnf(c_0_39,plain,
product(quotient(X1,X2),X2) = X1,
i_0_4 ).
cnf(c_0_40,plain,
product(product(X1,X2),product(X1,X3)) = product(X1,product(X2,X3)),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
product(b1,c1) = product(a,b1),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,plain,
d(b,bigA,c),
i_0_12 ).
cnf(c_0_43,plain,
product(product(X1,X2),product(X3,X2)) = product(product(X1,X3),X2),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_44,plain,
product(product(X1,X2),product(X2,product(X2,quotient(X1,X2)))) = X2,
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
product(product(a,b1),product(b1,X1)) = product(b1,product(c1,X1)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
difference(X1,product(X1,X2)) = X2,
i_0_1 ).
cnf(c_0_47,plain,
product(bigA,c) = product(b,bigA),
inference(spm,[status(thm)],[c_0_36,c_0_42]) ).
cnf(c_0_48,plain,
d(a1,b1,c),
i_0_17 ).
cnf(c_0_49,plain,
quotient(product(X1,X2),X2) = X1,
i_0_3 ).
cnf(c_0_50,plain,
product(product(X1,X2),X1) = product(X1,product(X2,X1)),
inference(spm,[status(thm)],[c_0_43,c_0_35]) ).
cnf(c_0_51,plain,
product(b1,product(c1,product(b1,quotient(a,b1)))) = b1,
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_52,plain,
difference(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_46,c_0_35]) ).
cnf(c_0_53,plain,
product(X1,difference(X1,X2)) = X2,
i_0_2 ).
cnf(c_0_54,plain,
product(product(b,bigA),product(bigA,X1)) = product(bigA,product(c,X1)),
inference(spm,[status(thm)],[c_0_40,c_0_47]) ).
cnf(c_0_55,plain,
product(a1,b1) = product(b1,c),
inference(spm,[status(thm)],[c_0_36,c_0_48]) ).
cnf(c_0_56,plain,
quotient(product(X1,product(X2,X1)),X1) = product(X1,X2),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_57,plain,
product(c1,product(b1,quotient(a,b1))) = b1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_51]),c_0_52]) ).
cnf(c_0_58,plain,
product(X1,product(difference(X1,X2),X1)) = product(X2,X1),
inference(spm,[status(thm)],[c_0_50,c_0_53]) ).
cnf(c_0_59,plain,
product(bigA,product(c,product(bigA,quotient(b,bigA)))) = bigA,
inference(spm,[status(thm)],[c_0_44,c_0_54]) ).
cnf(c_0_60,plain,
quotient(product(b1,c),b1) = a1,
inference(spm,[status(thm)],[c_0_49,c_0_55]) ).
cnf(c_0_61,plain,
quotient(product(X1,X2),X1) = product(X1,quotient(X2,X1)),
inference(spm,[status(thm)],[c_0_56,c_0_39]) ).
cnf(c_0_62,plain,
product(b1,quotient(a,b1)) = difference(c1,b1),
inference(spm,[status(thm)],[c_0_46,c_0_57]) ).
cnf(c_0_63,plain,
product(product(X1,X2),product(X2,X1)) = product(X2,product(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_44]),c_0_34]),c_0_50]),c_0_39]),c_0_43]),c_0_35]) ).
cnf(c_0_64,plain,
product(difference(X1,X2),X1) = difference(X1,product(X2,X1)),
inference(spm,[status(thm)],[c_0_46,c_0_58]) ).
cnf(c_0_65,plain,
d(a1,b,c1),
i_0_16 ).
cnf(c_0_66,plain,
product(c,product(bigA,quotient(b,bigA))) = bigA,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_59]),c_0_52]) ).
cnf(c_0_67,plain,
difference(product(product(X1,X2),X2),X2) = product(X2,product(X2,X1)),
inference(spm,[status(thm)],[c_0_46,c_0_38]) ).
cnf(c_0_68,plain,
product(b1,quotient(c,b1)) = a1,
inference(rw,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_69,plain,
product(product(X1,X2),product(difference(X1,X3),X4)) = product(X3,product(X2,X4)),
inference(spm,[status(thm)],[c_0_34,c_0_53]) ).
cnf(c_0_70,plain,
product(difference(c1,b1),b1) = product(b1,a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_62]),c_0_39]) ).
cnf(c_0_71,plain,
product(difference(X1,product(X2,X1)),X2) = product(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_53]),c_0_64]),c_0_64]),c_0_53]) ).
cnf(c_0_72,plain,
product(a1,b) = product(b,c1),
inference(spm,[status(thm)],[c_0_36,c_0_65]) ).
cnf(c_0_73,plain,
product(product(c1,a),b1) = product(b1,product(c1,b1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_41]),c_0_43]) ).
cnf(c_0_74,plain,
product(b1,product(b1,c)) = product(b1,product(c,a1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_55]),c_0_40]) ).
cnf(c_0_75,plain,
product(bigA,quotient(b,bigA)) = difference(c,bigA),
inference(spm,[status(thm)],[c_0_46,c_0_66]) ).
cnf(c_0_76,plain,
d(b,a,bigC),
i_0_14 ).
cnf(c_0_77,plain,
product(X1,product(X1,quotient(X2,X1))) = difference(product(X2,X1),X1),
inference(spm,[status(thm)],[c_0_67,c_0_39]) ).
cnf(c_0_78,plain,
quotient(c,b1) = difference(b1,a1),
inference(spm,[status(thm)],[c_0_46,c_0_68]) ).
cnf(c_0_79,plain,
product(product(c1,X1),product(b1,a)) = product(b1,product(X1,b1)),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_80,plain,
product(c1,a1) = product(b,c1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_46]) ).
cnf(c_0_81,plain,
product(c1,a) = product(a,b1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_73]),c_0_56]),c_0_41]) ).
cnf(c_0_82,plain,
product(b1,c) = product(c,a1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_74]),c_0_46]) ).
cnf(c_0_83,plain,
product(difference(c,bigA),bigA) = product(bigA,b),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_75]),c_0_39]) ).
cnf(c_0_84,plain,
product(a,bigC) = product(b,a),
inference(spm,[status(thm)],[c_0_36,c_0_76]) ).
cnf(c_0_85,plain,
quotient(X1,product(X1,product(X1,X2))) = product(product(X2,X1),X1),
inference(spm,[status(thm)],[c_0_49,c_0_38]) ).
cnf(c_0_86,plain,
product(difference(product(X1,X2),X2),X2) = product(X2,product(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_77]),c_0_50]),c_0_39]) ).
cnf(c_0_87,plain,
product(difference(b1,a1),b1) = c,
inference(spm,[status(thm)],[c_0_39,c_0_78]) ).
cnf(c_0_88,plain,
product(product(b,a),b1) = product(b1,product(c,a1)),
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_79,c_0_80]),c_0_34]),c_0_81]),c_0_43]),c_0_55]),c_0_82]) ).
cnf(c_0_89,plain,
quotient(product(c,a1),b1) = a1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_82]),c_0_78]),c_0_53]) ).
cnf(c_0_90,plain,
product(product(c,X1),product(bigA,b)) = product(bigA,product(X1,bigA)),
inference(spm,[status(thm)],[c_0_69,c_0_83]) ).
cnf(c_0_91,plain,
difference(a,product(b,a)) = bigC,
inference(spm,[status(thm)],[c_0_46,c_0_84]) ).
cnf(c_0_92,plain,
product(product(c,b),bigA) = product(bigA,product(c,bigA)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_47]),c_0_43]) ).
cnf(c_0_93,plain,
difference(X1,product(product(X2,X1),X1)) = quotient(X1,product(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_53]),c_0_64]),c_0_64]) ).
cnf(c_0_94,plain,
product(difference(X1,X2),X2) = difference(product(X1,X2),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_39]),c_0_77]) ).
cnf(c_0_95,plain,
product(product(c,b1),product(b1,a1)) = b1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_87]),c_0_53]) ).
cnf(c_0_96,plain,
product(b1,a1) = product(b,a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_88]),c_0_61]),c_0_89]) ).
cnf(c_0_97,plain,
product(product(X1,X2),product(b,a)) = product(product(X1,a),product(X2,bigC)),
inference(spm,[status(thm)],[c_0_34,c_0_84]) ).
cnf(c_0_98,plain,
product(product(c,bigA),product(X1,b)) = product(bigA,product(X1,bigA)),
inference(spm,[status(thm)],[c_0_34,c_0_90]) ).
cnf(c_0_99,plain,
product(bigC,b) = product(b,a),
inference(spm,[status(thm)],[c_0_71,c_0_91]) ).
cnf(c_0_100,plain,
product(c,b) = product(b,bigA),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_92]),c_0_56]),c_0_47]) ).
cnf(c_0_101,plain,
difference(quotient(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_46,c_0_39]) ).
cnf(c_0_102,plain,
quotient(X1,product(X1,difference(X2,X1))) = product(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_86]),c_0_46]) ).
cnf(c_0_103,plain,
product(difference(X1,X2),quotient(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_71,c_0_39]) ).
cnf(c_0_104,plain,
product(product(c,a),product(b1,bigC)) = b1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).
cnf(c_0_105,plain,
product(bigA,product(bigC,bigA)) = product(bigA,product(c,a)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_34]),c_0_100]),c_0_54]) ).
cnf(c_0_106,plain,
product(X1,difference(X2,X1)) = difference(product(X1,X2),X1),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_107,plain,
difference(difference(X1,X2),X2) = quotient(X2,X1),
inference(spm,[status(thm)],[c_0_46,c_0_103]) ).
cnf(c_0_108,plain,
difference(product(c,a),b1) = product(b1,bigC),
inference(spm,[status(thm)],[c_0_46,c_0_104]) ).
cnf(c_0_109,plain,
product(bigC,bigA) = product(c,a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_105]),c_0_46]) ).
cnf(c_0_110,plain,
quotient(b1,product(b1,bigC)) = product(c,a),
inference(spm,[status(thm)],[c_0_49,c_0_104]) ).
cnf(c_0_111,plain,
quotient(X1,product(X1,X2)) = product(X1,quotient(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_106]),c_0_107]) ).
cnf(c_0_112,plain,
product(product(bigC,b1),b1) = product(b1,product(c,a)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_108]),c_0_85]) ).
cnf(c_0_113,plain,
product(product(c,a),product(bigC,X1)) = product(bigC,product(bigA,X1)),
inference(spm,[status(thm)],[c_0_40,c_0_109]) ).
cnf(c_0_114,plain,
product(b1,quotient(b1,bigC)) = product(c,a),
inference(rw,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_115,plain,
product(b1,product(c,a)) = product(bigC,product(bigA,b1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_112]),c_0_46]),c_0_113]) ).
cnf(c_0_116,plain,
product(product(quotient(X1,X2),X3),X2) = product(X1,product(X3,X2)),
inference(spm,[status(thm)],[c_0_43,c_0_39]) ).
cnf(c_0_117,plain,
product(b1,product(product(b1,bigA),product(bigC,b1))) = b1,
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_38,c_0_114]),c_0_115]),c_0_34]),c_0_116]),c_0_40]),c_0_34]) ).
cnf(c_0_118,plain,
quotient(product(product(X1,X2),product(X3,X4)),product(X2,X4)) = product(X1,X3),
inference(spm,[status(thm)],[c_0_49,c_0_34]) ).
cnf(c_0_119,plain,
product(product(b1,bigA),product(bigC,b1)) = b1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_117]),c_0_52]) ).
cnf(c_0_120,plain,
quotient(X1,product(X2,X1)) = product(quotient(X1,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_107]),c_0_94]),c_0_107]) ).
cnf(c_0_121,plain,
product(quotient(b1,bigA),b1) = product(b1,bigC),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).
cnf(c_0_122,plain,
product(X1,product(X2,quotient(X1,X3))) = product(product(X3,X2),X1),
inference(spm,[status(thm)],[c_0_69,c_0_103]) ).
cnf(c_0_123,plain,
product(product(bigA,bigC),b1) = product(b1,product(b1,bigC)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_121]),c_0_40]),c_0_122]) ).
cnf(c_0_124,plain,
product(b1,quotient(bigC,b1)) = quotient(b1,bigA),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_121]),c_0_61]) ).
cnf(c_0_125,plain,
product(product(X1,quotient(X2,X3)),product(X4,X3)) = product(product(X1,X4),X2),
inference(spm,[status(thm)],[c_0_34,c_0_39]) ).
cnf(c_0_126,plain,
product(b1,quotient(b1,bigA)) = product(bigA,bigC),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_123]),c_0_61]),c_0_61]),c_0_124]) ).
cnf(c_0_127,negated_conjecture,
~ m(bigA,b1,bigC),
i_0_18 ).
cnf(c_0_128,plain,
( m(X1,X2,X3)
| product(product(X1,X2),product(X2,X3)) != product(X1,X3) ),
i_0_10 ).
cnf(c_0_129,plain,
product(product(bigA,bigC),product(X1,bigA)) = product(b1,product(X1,b1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_50]) ).
cnf(c_0_130,plain,
product(product(X1,X2),product(product(X3,X4),product(X5,X6))) = product(product(X1,product(X3,X5)),product(X2,product(X4,X6))),
inference(spm,[status(thm)],[c_0_34,c_0_34]) ).
cnf(c_0_131,plain,
product(product(X1,product(X2,X3)),product(X4,product(X5,X3))) = product(product(X1,X4),product(product(X2,X5),X3)),
inference(spm,[status(thm)],[c_0_34,c_0_43]) ).
cnf(c_0_132,negated_conjecture,
product(product(bigA,b1),product(b1,bigC)) != product(bigA,bigC),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_133,plain,
$false,
inference(sr,[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_38,c_0_129]),c_0_40]),c_0_123]),c_0_130]),c_0_123]),c_0_131]),c_0_35]),c_0_40]),c_0_35]),c_0_132]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP779+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 05:44:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 13.92/3.05 # ENIGMATIC: Solved by autoschedule:
% 13.92/3.05 # No SInE strategy applied
% 13.92/3.05 # Trying AutoSched0 for 150 seconds
% 13.92/3.05 # AutoSched0-Mode selected heuristic G_E___107_C00_02_nc_F1_PI_AE_Q4_CS_SP_PS_S070I
% 13.92/3.05 # and selection function SelectVGNonCR.
% 13.92/3.05 #
% 13.92/3.05 # Preprocessing time : 0.022 s
% 13.92/3.05 # Presaturation interreduction done
% 13.92/3.05
% 13.92/3.05 # Proof found!
% 13.92/3.05 # SZS status Theorem
% 13.92/3.05 # SZS output start CNFRefutation
% See solution above
% 13.92/3.05 # Training examples: 0 positive, 0 negative
% 13.92/3.05
% 13.92/3.05 # -------------------------------------------------
% 13.92/3.05 # User time : 0.711 s
% 13.92/3.05 # System time : 0.040 s
% 13.92/3.05 # Total time : 0.751 s
% 13.92/3.05 # Maximum resident set size: 7116 pages
% 13.92/3.05
%------------------------------------------------------------------------------