TSTP Solution File: NUM926+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM926+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 : Mon Jul 18 08:41:17 EDT 2022
% Result : Theorem 7.23s 2.68s
% Output : CNFRefutation 7.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 27 ( 21 unt; 2 nHn; 19 RR)
% Number of literals : 39 ( 21 equ; 16 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 32 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1,negated_conjecture,
plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) != plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1w1uggu/lgb.p',i_0_1) ).
cnf(i_0_62,plain,
plus_plus_int(X1,X2) = plus_plus_int(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1w1uggu/lgb.p',i_0_62) ).
cnf(i_0_60,plain,
plus_plus_int(plus_plus_int(X1,X2),X3) = plus_plus_int(X1,plus_plus_int(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1w1uggu/lgb.p',i_0_60) ).
cnf(i_0_58,plain,
times_times_int(X1,X2) = times_times_int(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1w1uggu/lgb.p',i_0_58) ).
cnf(i_0_61,plain,
plus_plus_int(X1,plus_plus_int(X2,X3)) = plus_plus_int(X2,plus_plus_int(X1,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1w1uggu/lgb.p',i_0_61) ).
cnf(i_0_12,plain,
( plus_plus_int(power_power_int(esk1_0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(esk2_0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) = plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)
| t != one_one_int ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1w1uggu/lgb.p',i_0_12) ).
cnf(i_0_166,plain,
( plus_plus_int(power_power_int(esk3_0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(esk4_0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) = plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)
| ~ ord_less_int(one_one_int,t) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1w1uggu/lgb.p',i_0_166) ).
cnf(i_0_694,plain,
( X1 = X2
| ord_less_int(X1,X2)
| ~ is_int(X2)
| ~ is_int(X1)
| ~ ord_less_eq_int(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1w1uggu/lgb.p',i_0_694) ).
cnf(i_0_2,plain,
ord_less_eq_int(one_one_int,t),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1w1uggu/lgb.p',i_0_2) ).
cnf(i_0_961,plain,
is_int(t),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1w1uggu/lgb.p',i_0_961) ).
cnf(i_0_946,hypothesis,
is_int(one_one_int),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g1w1uggu/lgb.p',i_0_946) ).
cnf(c_0_973,negated_conjecture,
plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(X2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) != plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),
i_0_1 ).
cnf(c_0_974,plain,
plus_plus_int(X1,X2) = plus_plus_int(X2,X1),
i_0_62 ).
cnf(c_0_975,plain,
plus_plus_int(plus_plus_int(X1,X2),X3) = plus_plus_int(X1,plus_plus_int(X2,X3)),
i_0_60 ).
cnf(c_0_976,plain,
times_times_int(X1,X2) = times_times_int(X2,X1),
i_0_58 ).
cnf(c_0_977,negated_conjecture,
plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,one_one_int))))))),power_power_int(X2,number_number_of_nat(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,one_one_int)))))))) != plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(pls,one_one_int)))))))))))))),
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(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(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_973,c_0_974]),c_0_975]),c_0_974]),c_0_974]),c_0_975]),c_0_974]),c_0_975]),c_0_975]),c_0_974]),c_0_975]),c_0_974]),c_0_974]),c_0_975]),c_0_974]),c_0_975]),c_0_975]),c_0_974]),c_0_975]),c_0_974]),c_0_974]),c_0_975]),c_0_974]),c_0_975]),c_0_975]),c_0_974]),c_0_975]),c_0_974]),c_0_974]),c_0_975]),c_0_974]),c_0_975]),c_0_975]),c_0_975]),c_0_975]),c_0_975]),c_0_975]),c_0_975]),c_0_976]),c_0_974]) ).
cnf(c_0_978,plain,
plus_plus_int(X1,plus_plus_int(X2,X3)) = plus_plus_int(X2,plus_plus_int(X1,X3)),
i_0_61 ).
cnf(c_0_979,plain,
( plus_plus_int(power_power_int(esk1_0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(esk2_0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) = plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)
| t != one_one_int ),
i_0_12 ).
cnf(c_0_980,negated_conjecture,
plus_plus_int(power_power_int(X1,number_number_of_nat(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,one_one_int))))))),power_power_int(X2,number_number_of_nat(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,one_one_int)))))))) != plus_plus_int(one_one_int,times_times_int(m,number_number_of_int(plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(one_one_int,one_one_int)))))))))))))),
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)],[c_0_977,c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_978]) ).
cnf(c_0_981,plain,
( plus_plus_int(power_power_int(esk3_0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),power_power_int(esk4_0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))) = plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int)
| ~ ord_less_int(one_one_int,t) ),
i_0_166 ).
cnf(c_0_982,plain,
( X1 = X2
| ord_less_int(X1,X2)
| ~ is_int(X2)
| ~ is_int(X1)
| ~ ord_less_eq_int(X1,X2) ),
i_0_694 ).
cnf(c_0_983,plain,
ord_less_eq_int(one_one_int,t),
i_0_2 ).
cnf(c_0_984,plain,
is_int(t),
i_0_961 ).
cnf(c_0_985,hypothesis,
is_int(one_one_int),
i_0_946 ).
cnf(c_0_986,plain,
t != one_one_int,
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(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(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(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)],[c_0_979,c_0_974]),c_0_975]),c_0_974]),c_0_974]),c_0_975]),c_0_974]),c_0_975]),c_0_975]),c_0_978]),c_0_978]),c_0_974]),c_0_975]),c_0_974]),c_0_974]),c_0_975]),c_0_974]),c_0_975]),c_0_975]),c_0_978]),c_0_978]),c_0_974]),c_0_975]),c_0_974]),c_0_974]),c_0_975]),c_0_974]),c_0_975]),c_0_975]),c_0_978]),c_0_978]),c_0_974]),c_0_975]),c_0_974]),c_0_974]),c_0_975]),c_0_974]),c_0_975]),c_0_975]),c_0_978]),c_0_978]),c_0_975]),c_0_975]),c_0_975]),c_0_975]),c_0_975]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_976]),c_0_974]),c_0_980]) ).
cnf(c_0_987,plain,
~ ord_less_int(one_one_int,t),
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(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(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(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)],[c_0_981,c_0_974]),c_0_975]),c_0_974]),c_0_974]),c_0_975]),c_0_974]),c_0_975]),c_0_975]),c_0_978]),c_0_978]),c_0_974]),c_0_975]),c_0_974]),c_0_974]),c_0_975]),c_0_974]),c_0_975]),c_0_975]),c_0_978]),c_0_978]),c_0_974]),c_0_975]),c_0_974]),c_0_974]),c_0_975]),c_0_974]),c_0_975]),c_0_975]),c_0_978]),c_0_978]),c_0_974]),c_0_975]),c_0_974]),c_0_974]),c_0_975]),c_0_974]),c_0_975]),c_0_975]),c_0_978]),c_0_978]),c_0_975]),c_0_975]),c_0_975]),c_0_975]),c_0_975]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_978]),c_0_976]),c_0_974]),c_0_980]) ).
cnf(c_0_988,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_982,c_0_983]),c_0_984]),c_0_985])]),c_0_986]),c_0_987]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM926+2 : TPTP v8.1.0. Released v5.3.0.
% 0.04/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n029.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 : Tue Jul 5 10:16:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.48 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.23/2.68 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.23/2.68 # No SInE strategy applied
% 7.23/2.68 # Trying AutoSched0 for 150 seconds
% 7.23/2.68 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.23/2.68 # and selection function SelectComplexExceptUniqMaxHorn.
% 7.23/2.68 #
% 7.23/2.68 # Preprocessing time : 0.023 s
% 7.23/2.68 # Presaturation interreduction done
% 7.23/2.68
% 7.23/2.68 # Proof found!
% 7.23/2.68 # SZS status Theorem
% 7.23/2.68 # SZS output start CNFRefutation
% See solution above
% 7.23/2.68 # Training examples: 0 positive, 0 negative
% 7.23/2.68
% 7.23/2.68 # -------------------------------------------------
% 7.23/2.68 # User time : 0.025 s
% 7.23/2.68 # System time : 0.009 s
% 7.23/2.68 # Total time : 0.034 s
% 7.23/2.68 # Maximum resident set size: 7124 pages
% 7.23/2.68
%------------------------------------------------------------------------------