TSTP Solution File: NUM926+6 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM926+6 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 08:41:19 EDT 2022
% Result : Theorem 8.08s 2.62s
% Output : CNFRefutation 8.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of clauses : 59 ( 46 unt; 3 nHn; 38 RR)
% Number of literals : 75 ( 56 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 16 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-3 aty)
% Number of variables : 55 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_126,plain,
plus_plus(int,pls,X1) = ti(int,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_eopmq3/lgb.p',i_0_126) ).
cnf(i_0_125,plain,
plus_plus(int,X1,pls) = ti(int,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_eopmq3/lgb.p',i_0_125) ).
cnf(i_0_85,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-y_eopmq3/lgb.p',i_0_85) ).
cnf(i_0_746,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-y_eopmq3/lgb.p',i_0_746) ).
cnf(i_0_744,plain,
times_times(int,X1,X2) = times_times(int,X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_eopmq3/lgb.p',i_0_744) ).
cnf(i_0_748,plain,
plus_plus(int,X1,X2) = plus_plus(int,X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_eopmq3/lgb.p',i_0_748) ).
cnf(i_0_806,hypothesis,
ti(int,plus_plus(int,X1,X1)) = plus_plus(int,X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_eopmq3/lgb.p',i_0_806) ).
cnf(i_0_745,plain,
number_number_of(int,X1) = ti(int,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_eopmq3/lgb.p',i_0_745) ).
cnf(i_0_778,plain,
( ti(X1,one_one(X1)) = one_one(X1)
| ~ zero_neq_one(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_eopmq3/lgb.p',i_0_778) ).
cnf(i_0_32,plain,
zero_neq_one(int),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_eopmq3/lgb.p',i_0_32) ).
cnf(i_0_747,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-y_eopmq3/lgb.p',i_0_747) ).
cnf(i_0_503,plain,
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(nat,one_one(nat),one_one(nat)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_eopmq3/lgb.p',i_0_503) ).
cnf(i_0_122,plain,
plus_plus(int,pls,pls) = pls,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_eopmq3/lgb.p',i_0_122) ).
cnf(i_0_232,plain,
( plus_plus(int,power_power(int,esk6_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,esk7_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-y_eopmq3/lgb.p',i_0_232) ).
cnf(i_0_263,plain,
( ti(int,X1) = ti(int,X2)
| ord_less(int,X1,X2)
| ~ ord_less_eq(int,X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_eopmq3/lgb.p',i_0_263) ).
cnf(i_0_853,plain,
ti(int,t) = t,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_eopmq3/lgb.p',i_0_853) ).
cnf(i_0_104,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))
| one_one(int) != t ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_eopmq3/lgb.p',i_0_104) ).
cnf(i_0_86,plain,
ord_less_eq(int,one_one(int),t),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-y_eopmq3/lgb.p',i_0_86) ).
cnf(c_0_872,plain,
plus_plus(int,pls,X1) = ti(int,X1),
i_0_126 ).
cnf(c_0_873,plain,
plus_plus(int,X1,pls) = ti(int,X1),
i_0_125 ).
cnf(c_0_874,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_85 ).
cnf(c_0_875,plain,
plus_plus(int,X1,pls) = plus_plus(int,pls,X1),
inference(rw,[status(thm)],[c_0_872,c_0_873]) ).
cnf(c_0_876,plain,
plus_plus(int,plus_plus(int,X1,X2),X3) = plus_plus(int,X1,plus_plus(int,X2,X3)),
i_0_746 ).
cnf(c_0_877,plain,
times_times(int,X1,X2) = times_times(int,X2,X1),
i_0_744 ).
cnf(c_0_878,plain,
plus_plus(int,X1,X2) = plus_plus(int,X2,X1),
i_0_748 ).
cnf(c_0_879,hypothesis,
ti(int,plus_plus(int,X1,X1)) = plus_plus(int,X1,X1),
i_0_806 ).
cnf(c_0_880,plain,
number_number_of(int,X1) = ti(int,X1),
i_0_745 ).
cnf(c_0_881,plain,
( ti(X1,one_one(X1)) = one_one(X1)
| ~ zero_neq_one(X1) ),
i_0_778 ).
cnf(c_0_882,plain,
zero_neq_one(int),
i_0_32 ).
cnf(c_0_883,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)],[c_0_874,c_0_875]),c_0_875]),c_0_875]),c_0_875]),c_0_876]),c_0_876]),c_0_875]),c_0_875]),c_0_875]),c_0_875]),c_0_876]),c_0_876]),c_0_875]),c_0_875]),c_0_875]),c_0_875]),c_0_876]),c_0_876]),c_0_875]),c_0_875]),c_0_875]),c_0_875]),c_0_876]),c_0_876]),c_0_876]),c_0_876]),c_0_876]),c_0_876]),c_0_876]),c_0_877]),c_0_878]) ).
cnf(c_0_884,plain,
plus_plus(int,X1,plus_plus(int,X2,X3)) = plus_plus(int,X2,plus_plus(int,X1,X3)),
i_0_747 ).
cnf(c_0_885,hypothesis,
plus_plus(int,pls,plus_plus(int,X1,X1)) = plus_plus(int,X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_879,c_0_873]),c_0_878]) ).
cnf(c_0_886,plain,
number_number_of(int,X1) = plus_plus(int,X1,pls),
inference(rw,[status(thm)],[c_0_880,c_0_873]) ).
cnf(c_0_887,plain,
plus_plus(int,pls,one_one(int)) = one_one(int),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_881,c_0_882]),c_0_873]),c_0_875]) ).
cnf(c_0_888,plain,
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(nat,one_one(nat),one_one(nat)),
i_0_503 ).
cnf(c_0_889,negated_conjecture,
plus_plus(int,power_power(int,X1,number_number_of(nat,plus_plus(int,one_one(int),one_one(int)))),power_power(int,X2,number_number_of(nat,plus_plus(int,one_one(int),one_one(int))))) != plus_plus(int,one_one(int),times_times(int,m,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)],[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_883,c_0_884]),c_0_884]),c_0_885]),c_0_885]),c_0_885]),c_0_885]),c_0_884]),c_0_884]),c_0_885]),c_0_885]),c_0_885]),c_0_885]),c_0_884]),c_0_884]),c_0_884]),c_0_884]),c_0_885]),c_0_885]),c_0_885]),c_0_884]),c_0_884]),c_0_886]),c_0_876]),c_0_876]),c_0_876]),c_0_876]),c_0_876]),c_0_876]),c_0_876]),c_0_876]),c_0_875]),c_0_887]) ).
cnf(c_0_890,plain,
number_number_of(nat,plus_plus(int,one_one(int),one_one(int))) = plus_plus(nat,one_one(nat),one_one(nat)),
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_888,c_0_875]),c_0_875]),c_0_875]),c_0_875]),c_0_876]),c_0_876]),c_0_884]),c_0_884]),c_0_885]),c_0_885]),c_0_885]),c_0_885]) ).
cnf(c_0_891,plain,
plus_plus(int,pls,pls) = pls,
i_0_122 ).
cnf(c_0_892,plain,
( plus_plus(int,power_power(int,esk6_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,esk7_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_232 ).
cnf(c_0_893,negated_conjecture,
plus_plus(int,power_power(int,X1,plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,X2,plus_plus(nat,one_one(nat),one_one(nat)))) != plus_plus(int,one_one(int),times_times(int,m,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)],[c_0_889,c_0_890]),c_0_890]) ).
cnf(c_0_894,plain,
plus_plus(int,pls,plus_plus(int,pls,X1)) = plus_plus(int,pls,X1),
inference(spm,[status(thm)],[c_0_876,c_0_891]) ).
cnf(c_0_895,plain,
( plus_plus(int,power_power(int,esk6_0,number_number_of(nat,plus_plus(int,one_one(int),one_one(int)))),power_power(int,esk7_0,number_number_of(nat,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,one_one(int),plus_plus(int,one_one(int),plus_plus(int,one_one(int),one_one(int)))))))
| ~ ord_less(int,one_one(int),t) ),
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_892,c_0_875]),c_0_875]),c_0_875]),c_0_875]),c_0_876]),c_0_876]),c_0_884]),c_0_884]),c_0_885]),c_0_885]),c_0_885]),c_0_885]),c_0_875]),c_0_875]),c_0_875]),c_0_875]),c_0_876]),c_0_876]),c_0_884]),c_0_884]),c_0_885]),c_0_885]),c_0_885]),c_0_885]),c_0_875]),c_0_875]),c_0_875]),c_0_875]),c_0_876]),c_0_876]),c_0_884]),c_0_884]),c_0_885]),c_0_885]),c_0_885]),c_0_885]),c_0_875]),c_0_875]),c_0_875]),c_0_875]),c_0_876]),c_0_876]),c_0_884]),c_0_884]),c_0_885]),c_0_885]),c_0_885]),c_0_885]),c_0_876]),c_0_877]),c_0_878]) ).
cnf(c_0_896,negated_conjecture,
plus_plus(int,power_power(int,X1,plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,X2,plus_plus(nat,one_one(nat),one_one(nat)))) != plus_plus(int,one_one(int),times_times(int,m,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)],[c_0_893,c_0_894]),c_0_894]),c_0_894]),c_0_894]) ).
cnf(c_0_897,plain,
( plus_plus(int,power_power(int,esk6_0,plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,esk7_0,plus_plus(nat,one_one(nat),one_one(nat)))) = plus_plus(int,one_one(int),times_times(int,m,plus_plus(int,one_one(int),plus_plus(int,one_one(int),plus_plus(int,one_one(int),one_one(int))))))
| ~ ord_less(int,one_one(int),t) ),
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_895,c_0_886]),c_0_876]),c_0_876]),c_0_876]),c_0_875]),c_0_887]),c_0_890]),c_0_890]) ).
cnf(c_0_898,negated_conjecture,
( plus_plus(int,one_one(int),times_times(int,m,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))))))) != plus_plus(int,one_one(int),times_times(int,m,plus_plus(int,one_one(int),plus_plus(int,one_one(int),plus_plus(int,one_one(int),one_one(int))))))
| ~ ord_less(int,one_one(int),t) ),
inference(spm,[status(thm)],[c_0_896,c_0_897]) ).
cnf(c_0_899,plain,
plus_plus(int,pls,plus_plus(int,one_one(int),X1)) = plus_plus(int,one_one(int),X1),
inference(spm,[status(thm)],[c_0_876,c_0_887]) ).
cnf(c_0_900,plain,
( ti(int,X1) = ti(int,X2)
| ord_less(int,X1,X2)
| ~ ord_less_eq(int,X1,X2) ),
i_0_263 ).
cnf(c_0_901,plain,
ti(int,t) = t,
i_0_853 ).
cnf(c_0_902,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))
| one_one(int) != t ),
i_0_104 ).
cnf(c_0_903,negated_conjecture,
~ ord_less(int,one_one(int),t),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_898,c_0_899])]) ).
cnf(c_0_904,plain,
( plus_plus(int,X1,pls) = plus_plus(int,X2,pls)
| ord_less(int,X1,X2)
| ~ ord_less_eq(int,X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_900,c_0_873]),c_0_873]) ).
cnf(c_0_905,plain,
plus_plus(int,pls,t) = t,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_901,c_0_873]),c_0_878]) ).
cnf(c_0_906,plain,
ord_less_eq(int,one_one(int),t),
i_0_86 ).
cnf(c_0_907,plain,
( plus_plus(int,power_power(int,esk1_0,number_number_of(nat,plus_plus(int,one_one(int),one_one(int)))),power_power(int,esk2_0,number_number_of(nat,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,one_one(int),plus_plus(int,one_one(int),plus_plus(int,one_one(int),one_one(int)))))))
| one_one(int) != t ),
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_902,c_0_875]),c_0_875]),c_0_875]),c_0_875]),c_0_876]),c_0_876]),c_0_884]),c_0_884]),c_0_885]),c_0_885]),c_0_885]),c_0_885]),c_0_875]),c_0_875]),c_0_875]),c_0_875]),c_0_876]),c_0_876]),c_0_884]),c_0_884]),c_0_885]),c_0_885]),c_0_885]),c_0_885]),c_0_875]),c_0_875]),c_0_875]),c_0_875]),c_0_876]),c_0_876]),c_0_884]),c_0_884]),c_0_885]),c_0_885]),c_0_885]),c_0_885]),c_0_875]),c_0_875]),c_0_875]),c_0_875]),c_0_876]),c_0_876]),c_0_884]),c_0_884]),c_0_885]),c_0_885]),c_0_885]),c_0_885]),c_0_876]),c_0_877]),c_0_878]) ).
cnf(c_0_908,plain,
one_one(int) = t,
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(spm,[status(thm)],[c_0_903,c_0_904]),c_0_875]),c_0_887]),c_0_878]),c_0_905]),c_0_906])]) ).
cnf(c_0_909,plain,
plus_plus(int,power_power(int,esk1_0,number_number_of(nat,plus_plus(int,t,t))),power_power(int,esk2_0,number_number_of(nat,plus_plus(int,t,t)))) = plus_plus(int,t,times_times(int,m,plus_plus(int,t,plus_plus(int,t,plus_plus(int,t,t))))),
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)],[c_0_907,c_0_886]),c_0_876]),c_0_876]),c_0_876]),c_0_875]),c_0_887]),c_0_908]),c_0_908]),c_0_908]),c_0_908]),c_0_908]),c_0_908]),c_0_908]),c_0_908]),c_0_908]),c_0_908])]) ).
cnf(c_0_910,plain,
number_number_of(nat,plus_plus(int,t,t)) = plus_plus(nat,one_one(nat),one_one(nat)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_890,c_0_908]),c_0_908]) ).
cnf(c_0_911,negated_conjecture,
plus_plus(int,power_power(int,X1,plus_plus(nat,one_one(nat),one_one(nat))),power_power(int,X2,plus_plus(nat,one_one(nat),one_one(nat)))) != plus_plus(int,t,times_times(int,m,plus_plus(int,t,plus_plus(int,t,plus_plus(int,t,t))))),
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_896,c_0_899]),c_0_908]),c_0_908]),c_0_908]),c_0_908]),c_0_908]) ).
cnf(c_0_912,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_909,c_0_910]),c_0_910]),c_0_911]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM926+6 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jul 7 17:46:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected SinE mode:
% 0.20/0.48 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.08/2.62 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.08/2.62 # No SInE strategy applied
% 8.08/2.62 # Trying AutoSched0 for 150 seconds
% 8.08/2.62 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SP_PI_S0Y
% 8.08/2.62 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.08/2.62 #
% 8.08/2.62 # Preprocessing time : 0.026 s
% 8.08/2.62
% 8.08/2.62 # Proof found!
% 8.08/2.62 # SZS status Theorem
% 8.08/2.62 # SZS output start CNFRefutation
% See solution above
% 8.08/2.62 # Training examples: 0 positive, 0 negative
% 8.08/2.62
% 8.08/2.62 # -------------------------------------------------
% 8.08/2.62 # User time : 0.049 s
% 8.08/2.62 # System time : 0.008 s
% 8.08/2.62 # Total time : 0.057 s
% 8.08/2.62 # Maximum resident set size: 7124 pages
% 8.08/2.62
%------------------------------------------------------------------------------