%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG072+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 : Thu Jul 14 14:51:36 EDT 2022
% Result : Theorem 8.68s 2.49s
% Output : CNFRefutation 8.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 22
% Syntax : Number of clauses : 83 ( 19 unt; 0 nHn; 83 RR)
% Number of literals : 180 ( 73 equ; 100 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
( op1(X1,esk3_0) = X2
| op1(X1,X2) != esk3_0
| ~ sorti1(X2)
| ~ sorti1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_14) ).
cnf(i_0_22,negated_conjecture,
( op1(j(X1),j(X2)) = j(op2(X1,X2))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_22) ).
cnf(i_0_24,negated_conjecture,
( sorti1(j(X1))
| ~ sorti2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_24) ).
cnf(i_0_3,plain,
sorti1(esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_3) ).
cnf(i_0_2,plain,
esk1_0 = unit1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_2) ).
cnf(i_0_9,plain,
( op2(X1,unit2) = X1
| ~ sorti2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_9) ).
cnf(i_0_6,plain,
sorti2(unit2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_6) ).
cnf(i_0_4,plain,
( op1(X1,unit1) = X1
| ~ sorti1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_4) ).
cnf(i_0_15,plain,
sorti1(esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_15) ).
cnf(i_0_20,negated_conjecture,
( j(h(X1)) = X1
| ~ sorti1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_20) ).
cnf(i_0_25,negated_conjecture,
( sorti2(h(X1))
| ~ sorti1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_25) ).
cnf(i_0_10,plain,
( op2(unit2,X1) = X1
| ~ sorti2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_10) ).
cnf(i_0_11,plain,
( sorti1(op1(X1,X2))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_11) ).
cnf(i_0_23,negated_conjecture,
( op2(h(X1),h(X2)) = h(op1(X1,X2))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_23) ).
cnf(i_0_21,negated_conjecture,
( h(j(X1)) = X1
| ~ sorti2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_21) ).
cnf(i_0_5,plain,
( op1(unit1,X1) = X1
| ~ sorti1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_5) ).
cnf(i_0_17,plain,
( op2(esk4_1(X1),esk5_1(X1)) = X1
| ~ sorti2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_17) ).
cnf(i_0_19,plain,
( sorti2(esk4_1(X1))
| ~ sorti2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_19) ).
cnf(i_0_18,plain,
( sorti2(esk5_1(X1))
| ~ sorti2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_18) ).
cnf(i_0_12,plain,
( sorti2(op2(X1,X2))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_12) ).
cnf(i_0_16,plain,
( X1 = unit2
| op2(esk4_1(X1),X1) != esk5_1(X1)
| ~ sorti2(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_16) ).
cnf(i_0_13,plain,
( esk3_0 != unit1
| op1(X1,X2) != esk3_0
| ~ sorti1(X2)
| ~ sorti1(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-75tmsjge/lgb.p',i_0_13) ).
cnf(c_0_48,plain,
( op1(X1,esk3_0) = X2
| op1(X1,X2) != esk3_0
| ~ sorti1(X2)
| ~ sorti1(X1) ),
i_0_14 ).
cnf(c_0_49,negated_conjecture,
( op1(j(X1),j(X2)) = j(op2(X1,X2))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
i_0_22 ).
cnf(c_0_50,negated_conjecture,
( sorti1(j(X1))
| ~ sorti2(X1) ),
i_0_24 ).
cnf(c_0_51,plain,
sorti1(esk1_0),
i_0_3 ).
cnf(c_0_52,plain,
esk1_0 = unit1,
i_0_2 ).
cnf(c_0_53,plain,
( op1(j(X1),esk3_0) = j(X2)
| j(op2(X1,X2)) != esk3_0
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_50]) ).
cnf(c_0_54,plain,
( op2(X1,unit2) = X1
| ~ sorti2(X1) ),
i_0_9 ).
cnf(c_0_55,plain,
sorti2(unit2),
i_0_6 ).
cnf(c_0_56,plain,
( op1(X1,unit1) = X1
| ~ sorti1(X1) ),
i_0_4 ).
cnf(c_0_57,plain,
sorti1(unit1),
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_58,plain,
sorti1(esk3_0),
i_0_15 ).
cnf(c_0_59,plain,
( op1(j(X1),esk3_0) = j(unit2)
| j(X1) != esk3_0
| ~ sorti2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).
cnf(c_0_60,negated_conjecture,
( j(h(X1)) = X1
| ~ sorti1(X1) ),
i_0_20 ).
cnf(c_0_61,plain,
op1(esk3_0,esk3_0) = unit1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_56]),c_0_57])])]),c_0_58])]) ).
cnf(c_0_62,negated_conjecture,
( j(unit2) = unit1
| ~ sorti2(h(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60])]),c_0_61]),c_0_58])]) ).
cnf(c_0_63,negated_conjecture,
( sorti2(h(X1))
| ~ sorti1(X1) ),
i_0_25 ).
cnf(c_0_64,negated_conjecture,
j(unit2) = unit1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_58])]) ).
cnf(c_0_65,negated_conjecture,
( j(op2(X1,h(X2))) = op1(j(X1),X2)
| ~ sorti1(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_60]),c_0_63]) ).
cnf(c_0_66,plain,
( op2(unit2,X1) = X1
| ~ sorti2(X1) ),
i_0_10 ).
cnf(c_0_67,negated_conjecture,
( j(op2(h(X1),X2)) = op1(X1,j(X2))
| ~ sorti1(X1)
| ~ sorti2(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_60]),c_0_63]) ).
cnf(c_0_68,plain,
( sorti1(op1(X1,X2))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
i_0_11 ).
cnf(c_0_69,negated_conjecture,
( op2(h(X1),h(X2)) = h(op1(X1,X2))
| ~ sorti1(X2)
| ~ sorti1(X1) ),
i_0_23 ).
cnf(c_0_70,negated_conjecture,
( h(j(X1)) = X1
| ~ sorti2(X1) ),
i_0_21 ).
cnf(c_0_71,negated_conjecture,
( j(op2(unit2,X1)) = op1(unit1,j(X1))
| ~ sorti2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_64]),c_0_55])]) ).
cnf(c_0_72,plain,
( j(h(X1)) = op1(unit1,X1)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_64]),c_0_55])]),c_0_63]) ).
cnf(c_0_73,plain,
( j(h(X1)) = op1(X1,unit1)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_54]),c_0_64]),c_0_55])]),c_0_63]) ).
cnf(c_0_74,plain,
( op1(unit1,X1) = X1
| ~ sorti1(X1) ),
i_0_5 ).
cnf(c_0_75,plain,
( sorti1(j(op2(X1,X2)))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_49]),c_0_50]),c_0_50]) ).
cnf(c_0_76,negated_conjecture,
( j(op2(X1,unit2)) = op1(j(X1),unit1)
| ~ sorti2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_64]),c_0_55])]) ).
cnf(c_0_77,negated_conjecture,
( h(op1(X1,j(X2))) = op2(h(X1),X2)
| ~ sorti1(X1)
| ~ sorti2(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_50]) ).
cnf(c_0_78,plain,
( op1(unit1,j(X1)) = j(X1)
| ~ sorti2(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_66]) ).
cnf(c_0_79,negated_conjecture,
h(unit1) = unit2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_64]),c_0_55])]) ).
cnf(c_0_80,negated_conjecture,
( op1(j(h(X1)),esk3_0) = j(h(X2))
| j(h(op1(X1,X2))) != esk3_0
| ~ sorti1(X2)
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_69]),c_0_63]),c_0_63]) ).
cnf(c_0_81,plain,
( op1(X1,unit1) = op1(unit1,X1)
| ~ sorti1(X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_82,plain,
op1(unit1,esk3_0) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_74]),c_0_57])])]),c_0_58])]) ).
cnf(c_0_83,plain,
( sorti1(op1(j(X1),unit1))
| ~ sorti2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_55])]) ).
cnf(c_0_84,plain,
( op2(unit2,X1) = h(j(X1))
| ~ sorti2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_57])]) ).
cnf(c_0_85,negated_conjecture,
( j(h(X1)) = esk3_0
| j(h(op1(X1,unit1))) != esk3_0
| ~ sorti1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_79]),c_0_64]),c_0_82]),c_0_57])]) ).
cnf(c_0_86,negated_conjecture,
( sorti1(op1(X1,unit1))
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_60]),c_0_63]) ).
cnf(c_0_87,plain,
( op2(esk4_1(X1),esk5_1(X1)) = X1
| ~ sorti2(X1) ),
i_0_17 ).
cnf(c_0_88,plain,
( sorti2(esk4_1(X1))
| ~ sorti2(X1) ),
i_0_19 ).
cnf(c_0_89,plain,
( sorti2(esk5_1(X1))
| ~ sorti2(X1) ),
i_0_18 ).
cnf(c_0_90,plain,
( sorti2(op2(X1,X2))
| ~ sorti2(X2)
| ~ sorti2(X1) ),
i_0_12 ).
cnf(c_0_91,negated_conjecture,
( op2(unit2,h(X1)) = h(op1(unit1,X1))
| ~ sorti1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_79]),c_0_57])]) ).
cnf(c_0_92,negated_conjecture,
( j(h(j(X1))) = op1(unit1,j(X1))
| ~ sorti2(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_84]) ).
cnf(c_0_93,negated_conjecture,
( j(h(X1)) = esk3_0
| op1(X1,unit1) != esk3_0
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_60]),c_0_86]) ).
cnf(c_0_94,negated_conjecture,
( h(op1(j(X1),X2)) = op2(X1,h(X2))
| ~ sorti1(X2)
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_50]) ).
cnf(c_0_95,plain,
( op1(j(esk4_1(X1)),esk3_0) = j(esk5_1(X1))
| j(X1) != esk3_0
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_87]),c_0_88]),c_0_89]) ).
cnf(c_0_96,plain,
( sorti2(h(op1(unit1,X1)))
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_55])]),c_0_63]) ).
cnf(c_0_97,negated_conjecture,
( j(h(esk3_0)) = esk3_0
| op1(X1,unit1) != esk3_0
| ~ sorti1(X1) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_82]),c_0_63]) ).
cnf(c_0_98,plain,
op1(esk3_0,unit1) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_81]),c_0_58])]) ).
cnf(c_0_99,plain,
( X1 = unit2
| op2(esk4_1(X1),X1) != esk5_1(X1)
| ~ sorti2(X1) ),
i_0_16 ).
cnf(c_0_100,negated_conjecture,
( op2(esk4_1(X1),h(esk3_0)) = h(j(esk5_1(X1)))
| j(X1) != esk3_0
| ~ sorti2(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_58])]),c_0_88]) ).
cnf(c_0_101,plain,
sorti2(h(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_82]),c_0_58])]) ).
cnf(c_0_102,plain,
j(h(esk3_0)) = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_58])]) ).
cnf(c_0_103,plain,
( h(esk3_0) = unit2
| h(j(esk5_1(h(esk3_0)))) != esk5_1(h(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]),c_0_102])]) ).
cnf(c_0_104,negated_conjecture,
( h(esk3_0) = unit2
| ~ sorti2(esk5_1(h(esk3_0))) ),
inference(spm,[status(thm)],[c_0_103,c_0_70]) ).
cnf(c_0_105,plain,
( esk3_0 != unit1
| op1(X1,X2) != esk3_0
| ~ sorti1(X2)
| ~ sorti1(X1) ),
i_0_13 ).
cnf(c_0_106,plain,
h(esk3_0) = unit2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_89]),c_0_101])]) ).
cnf(c_0_107,plain,
unit1 != esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_56]),c_0_57])])]),c_0_58])]) ).
cnf(c_0_108,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_106]),c_0_64]),c_0_107]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG072+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n027.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 : Thu Jun 9 00:17:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.68/2.49 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.68/2.49 # No SInE strategy applied
% 8.68/2.49 # Trying AutoSched0 for 150 seconds
% 8.68/2.49 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.68/2.49 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.68/2.49 #
% 8.68/2.49 # Preprocessing time : 0.023 s
% 8.68/2.49 # Presaturation interreduction done
% 8.68/2.49
% 8.68/2.49 # Proof found!
% 8.68/2.49 # SZS status Theorem
% 8.68/2.49 # SZS output start CNFRefutation
% See solution above
% 8.68/2.49 # Training examples: 0 positive, 0 negative
% 8.68/2.49
% 8.68/2.49 # -------------------------------------------------
% 8.68/2.49 # User time : 0.184 s
% 8.68/2.49 # System time : 0.008 s
% 8.68/2.49 # Total time : 0.192 s
% 8.68/2.49 # Maximum resident set size: 7124 pages
% 8.68/2.49
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