TSTP Solution File: GRP775+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP775+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.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 08:40:36 EDT 2022
% Result : Theorem 8.00s 2.41s
% Output : CNFRefutation 8.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 56 ( 10 unt; 5 nHn; 44 RR)
% Number of literals : 114 ( 53 equ; 57 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 98 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
( product(X1,X2) = X2
| ~ r(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-659_fsfh/input.p',i_0_7) ).
cnf(i_0_11,plain,
( r(X1,esk1_2(X1,X2))
| ~ d(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-659_fsfh/input.p',i_0_11) ).
cnf(i_0_5,plain,
( product(X1,X2) = X1
| ~ l(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-659_fsfh/input.p',i_0_5) ).
cnf(i_0_10,plain,
( l(esk1_2(X1,X2),X2)
| ~ d(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-659_fsfh/input.p',i_0_10) ).
cnf(i_0_1,plain,
product(product(X1,X2),X3) = product(X1,product(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-659_fsfh/input.p',i_0_1) ).
cnf(i_0_9,plain,
( d(X1,X2)
| ~ l(X3,X2)
| ~ r(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-659_fsfh/input.p',i_0_9) ).
cnf(i_0_3,plain,
( l(X1,X2)
| product(X2,X1) != X2
| product(X1,X2) != X1 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-659_fsfh/input.p',i_0_3) ).
cnf(i_0_12,negated_conjecture,
( product(esk3_0,product(esk2_0,esk3_0)) = esk3_0
| d(esk2_0,esk3_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-659_fsfh/input.p',i_0_12) ).
cnf(i_0_2,plain,
product(X1,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-659_fsfh/input.p',i_0_2) ).
cnf(i_0_6,plain,
( r(X1,X2)
| product(X2,X1) != X1
| product(X1,X2) != X2 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-659_fsfh/input.p',i_0_6) ).
cnf(i_0_8,plain,
( product(X1,X2) = X2
| ~ r(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-659_fsfh/input.p',i_0_8) ).
cnf(i_0_13,negated_conjecture,
( product(esk2_0,product(esk3_0,esk2_0)) = esk2_0
| d(esk2_0,esk3_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-659_fsfh/input.p',i_0_13) ).
cnf(i_0_4,plain,
( product(X1,X2) = X1
| ~ l(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-659_fsfh/input.p',i_0_4) ).
cnf(i_0_14,negated_conjecture,
( product(esk2_0,product(esk3_0,esk2_0)) != esk2_0
| product(esk3_0,product(esk2_0,esk3_0)) != esk3_0
| ~ d(esk2_0,esk3_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-659_fsfh/input.p',i_0_14) ).
cnf(c_0_29,plain,
( product(X1,X2) = X2
| ~ r(X2,X1) ),
i_0_7 ).
cnf(c_0_30,plain,
( r(X1,esk1_2(X1,X2))
| ~ d(X1,X2) ),
i_0_11 ).
cnf(c_0_31,plain,
( product(X1,X2) = X1
| ~ l(X1,X2) ),
i_0_5 ).
cnf(c_0_32,plain,
( l(esk1_2(X1,X2),X2)
| ~ d(X1,X2) ),
i_0_10 ).
cnf(c_0_33,plain,
product(product(X1,X2),X3) = product(X1,product(X2,X3)),
i_0_1 ).
cnf(c_0_34,plain,
( product(esk1_2(X1,X2),X1) = X1
| ~ d(X1,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,plain,
( d(X1,X2)
| ~ l(X3,X2)
| ~ r(X1,X3) ),
i_0_9 ).
cnf(c_0_36,plain,
( l(X1,X2)
| product(X2,X1) != X2
| product(X1,X2) != X1 ),
i_0_3 ).
cnf(c_0_37,plain,
( product(esk1_2(X1,X2),X2) = esk1_2(X1,X2)
| ~ d(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
( product(esk1_2(X1,X2),product(X1,X3)) = product(X1,X3)
| ~ d(X1,X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
( d(X1,X2)
| product(X2,X3) != X2
| product(X3,X2) != X3
| ~ r(X1,X3) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
( product(esk3_0,product(esk2_0,esk3_0)) = esk3_0
| d(esk2_0,esk3_0) ),
i_0_12 ).
cnf(c_0_41,plain,
product(X1,X1) = X1,
i_0_2 ).
cnf(c_0_42,plain,
( esk1_2(X1,product(X1,X2)) = product(X1,X2)
| ~ d(X1,product(X1,X2)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
( d(esk2_0,esk3_0)
| d(X1,esk3_0)
| ~ r(X1,product(esk2_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_33]),c_0_41])]) ).
cnf(c_0_44,plain,
( r(X1,product(X1,X2))
| ~ d(X1,product(X1,X2)) ),
inference(spm,[status(thm)],[c_0_30,c_0_42]) ).
cnf(c_0_45,plain,
( d(X1,X2)
| ~ r(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_41]),c_0_41])]) ).
cnf(c_0_46,plain,
( r(X1,X2)
| product(X2,X1) != X1
| product(X1,X2) != X2 ),
i_0_6 ).
cnf(c_0_47,plain,
product(X1,product(X1,X2)) = product(X1,X2),
inference(spm,[status(thm)],[c_0_33,c_0_41]) ).
cnf(c_0_48,plain,
( product(X1,X2) = X2
| ~ r(X1,X2) ),
i_0_8 ).
cnf(c_0_49,plain,
product(X1,product(X2,product(X1,X2))) = product(X1,X2),
inference(spm,[status(thm)],[c_0_41,c_0_33]) ).
cnf(c_0_50,plain,
( d(esk2_0,esk3_0)
| ~ d(esk2_0,product(esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,plain,
( d(X1,X2)
| product(X2,X1) != X1
| product(X1,X2) != X2 ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,negated_conjecture,
( product(esk2_0,product(esk3_0,esk2_0)) = esk2_0
| d(esk2_0,esk3_0) ),
i_0_13 ).
cnf(c_0_53,plain,
product(X1,product(X2,product(X1,product(X2,X3)))) = product(X1,product(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_47]),c_0_33]),c_0_33]) ).
cnf(c_0_54,plain,
( product(X1,esk1_2(X1,X2)) = esk1_2(X1,X2)
| ~ d(X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_30]) ).
cnf(c_0_55,plain,
( product(X1,X2) = X1
| ~ l(X2,X1) ),
i_0_4 ).
cnf(c_0_56,plain,
( product(esk1_2(X1,X2),product(X2,esk1_2(X1,X2))) = esk1_2(X1,X2)
| ~ d(X1,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_37]) ).
cnf(c_0_57,plain,
( product(esk1_2(X1,X2),product(X2,X3)) = product(esk1_2(X1,X2),X3)
| ~ d(X1,X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_37]) ).
cnf(c_0_58,negated_conjecture,
( product(esk2_0,product(esk3_0,esk2_0)) != esk2_0
| product(esk3_0,product(esk2_0,esk3_0)) != esk3_0
| ~ d(esk2_0,esk3_0) ),
i_0_14 ).
cnf(c_0_59,plain,
d(esk2_0,esk3_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_33]),c_0_47])]),c_0_52]) ).
cnf(c_0_60,plain,
( product(X1,product(X2,product(X1,esk1_2(X2,X3)))) = product(X1,esk1_2(X2,X3))
| ~ d(X2,X3) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_61,plain,
( product(X1,esk1_2(X2,X1)) = X1
| ~ d(X2,X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_32]) ).
cnf(c_0_62,plain,
( product(esk1_2(X1,X2),product(X2,product(esk1_2(X1,X2),X3))) = product(esk1_2(X1,X2),X3)
| ~ d(X1,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_56]),c_0_33]) ).
cnf(c_0_63,plain,
( product(esk1_2(X1,X2),product(X3,product(X2,X3))) = product(esk1_2(X1,X2),product(X2,X3))
| ~ d(X1,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_49]) ).
cnf(c_0_64,negated_conjecture,
( product(esk2_0,product(esk3_0,esk2_0)) != esk2_0
| product(esk3_0,product(esk2_0,esk3_0)) != esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59])]) ).
cnf(c_0_65,plain,
( product(X1,product(X2,X1)) = X1
| ~ d(X2,X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,plain,
( product(esk1_2(X1,X2),product(X2,X1)) = X1
| ~ d(X1,X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_34]) ).
cnf(c_0_67,plain,
( product(esk1_2(X1,X2),product(X2,X1)) = product(X1,product(X2,X1))
| ~ d(X1,X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_63]) ).
cnf(c_0_68,negated_conjecture,
product(esk2_0,product(esk3_0,esk2_0)) != esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_59])]) ).
cnf(c_0_69,plain,
( product(X1,product(X2,X1)) = X1
| ~ d(X1,X2) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_70,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_59])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP775+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 13:30:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 8.00/2.41 # ENIGMATIC: Solved by autoschedule:
% 8.00/2.41 # No SInE strategy applied
% 8.00/2.41 # Trying AutoSched0 for 150 seconds
% 8.00/2.41 # AutoSched0-Mode selected heuristic G_____X1276__C12_02_nc_F1_AE_CS_SP_RG_S04AN
% 8.00/2.41 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.00/2.41 #
% 8.00/2.41 # Preprocessing time : 0.012 s
% 8.00/2.41 # Presaturation interreduction done
% 8.00/2.41
% 8.00/2.41 # Proof found!
% 8.00/2.41 # SZS status Theorem
% 8.00/2.41 # SZS output start CNFRefutation
% See solution above
% 8.00/2.41 # Training examples: 0 positive, 0 negative
% 8.00/2.41
% 8.00/2.41 # -------------------------------------------------
% 8.00/2.41 # User time : 0.053 s
% 8.00/2.41 # System time : 0.004 s
% 8.00/2.41 # Total time : 0.057 s
% 8.00/2.41 # Maximum resident set size: 7120 pages
% 8.00/2.41
%------------------------------------------------------------------------------