TSTP Solution File: NUM925+8 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM925+8 : TPTP v8.1.0. Released v5.3.0.
% 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 : Mon Jul 18 08:41:15 EDT 2022
% Result : Theorem 10.32s 3.93s
% Output : CNFRefutation 10.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of clauses : 47 ( 44 unt; 0 nHn; 31 RR)
% Number of literals : 50 ( 49 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-4 aty)
% Number of variables : 39 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_3678,plain,
hAPP(int,nat,nat_1,zero_zero(int)) = zero_zero(nat),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7cqjgy1/lgb.p',i_0_3678) ).
cnf(i_0_3366,plain,
zero_zero(int) = pls,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7cqjgy1/lgb.p',i_0_3366) ).
cnf(i_0_578,plain,
hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,pls)) = hAPP(nat,nat,suc,zero_zero(nat)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7cqjgy1/lgb.p',i_0_578) ).
cnf(i_0_2134,plain,
hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,pls)) = one_one(nat),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7cqjgy1/lgb.p',i_0_2134) ).
cnf(i_0_2076,plain,
hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,pls)) = one_one(int),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7cqjgy1/lgb.p',i_0_2076) ).
cnf(i_0_332,plain,
hAPP(int,int,number_number_of(int),X1) = ti(int,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7cqjgy1/lgb.p',i_0_332) ).
cnf(i_0_606,plain,
hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))) = hAPP(nat,nat,suc,hAPP(nat,nat,suc,zero_zero(nat))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7cqjgy1/lgb.p',i_0_606) ).
cnf(i_0_23,plain,
hAPP(int,nat,nat_1,hAPP(int,int,number_number_of(int),X1)) = hAPP(int,nat,number_number_of(nat),X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7cqjgy1/lgb.p',i_0_23) ).
cnf(i_0_3715,plain,
hAPP(X1,X2,X3,ti(X1,X4)) = hAPP(X1,X2,X3,X4),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7cqjgy1/lgb.p',i_0_3715) ).
cnf(i_0_3716,plain,
ti(X1,hAPP(X2,X1,X3,X4)) = hAPP(X2,X1,X3,X4),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7cqjgy1/lgb.p',i_0_3716) ).
cnf(i_0_10,negated_conjecture,
hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n))),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))) = zero_zero(int),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7cqjgy1/lgb.p',i_0_10) ).
cnf(i_0_567,plain,
hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),X1)) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7cqjgy1/lgb.p',i_0_567) ).
cnf(i_0_853,plain,
hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),X2) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),X1),X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7cqjgy1/lgb.p',i_0_853) ).
cnf(i_0_1848,plain,
( X1 = zero_zero(nat)
| hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),X1),X2) != zero_zero(nat) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7cqjgy1/lgb.p',i_0_1848) ).
cnf(i_0_3666,plain,
hAPP(int,nat,nat_1,hAPP(nat,int,semiring_1_of_nat(int),X1)) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7cqjgy1/lgb.p',i_0_3666) ).
cnf(i_0_387,plain,
hAPP(nat,nat,suc,X1) != zero_zero(nat),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b7cqjgy1/lgb.p',i_0_387) ).
cnf(c_0_3733,plain,
hAPP(int,nat,nat_1,zero_zero(int)) = zero_zero(nat),
i_0_3678 ).
cnf(c_0_3734,plain,
zero_zero(int) = pls,
i_0_3366 ).
cnf(c_0_3735,plain,
hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,pls)) = hAPP(nat,nat,suc,zero_zero(nat)),
i_0_578 ).
cnf(c_0_3736,plain,
hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit1,pls)) = one_one(nat),
i_0_2134 ).
cnf(c_0_3737,plain,
zero_zero(nat) = hAPP(int,nat,nat_1,pls),
inference(rw,[status(thm)],[c_0_3733,c_0_3734]) ).
cnf(c_0_3738,plain,
hAPP(int,int,number_number_of(int),hAPP(int,int,bit1,pls)) = one_one(int),
i_0_2076 ).
cnf(c_0_3739,plain,
hAPP(int,int,number_number_of(int),X1) = ti(int,X1),
i_0_332 ).
cnf(c_0_3740,plain,
hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))) = hAPP(nat,nat,suc,hAPP(nat,nat,suc,zero_zero(nat))),
i_0_606 ).
cnf(c_0_3741,plain,
hAPP(nat,nat,suc,hAPP(int,nat,nat_1,pls)) = one_one(nat),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3735,c_0_3736]),c_0_3737]) ).
cnf(c_0_3742,plain,
hAPP(int,nat,nat_1,hAPP(int,int,number_number_of(int),X1)) = hAPP(int,nat,number_number_of(nat),X1),
i_0_23 ).
cnf(c_0_3743,plain,
hAPP(X1,X2,X3,ti(X1,X4)) = hAPP(X1,X2,X3,X4),
i_0_3715 ).
cnf(c_0_3744,plain,
ti(int,hAPP(int,int,bit1,pls)) = one_one(int),
inference(rw,[status(thm)],[c_0_3738,c_0_3739]) ).
cnf(c_0_3745,plain,
ti(X1,hAPP(X2,X1,X3,X4)) = hAPP(X2,X1,X3,X4),
i_0_3716 ).
cnf(c_0_3746,plain,
hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls))) = hAPP(nat,nat,suc,one_one(nat)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3740,c_0_3737]),c_0_3741]) ).
cnf(c_0_3747,plain,
hAPP(int,nat,number_number_of(nat),X1) = hAPP(int,nat,nat_1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3742,c_0_3739]),c_0_3743]) ).
cnf(c_0_3748,negated_conjecture,
hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),n))),hAPP(int,nat,number_number_of(nat),hAPP(int,int,bit0,hAPP(int,int,bit1,pls)))) = zero_zero(int),
i_0_10 ).
cnf(c_0_3749,plain,
one_one(int) = hAPP(int,int,bit1,pls),
inference(rw,[status(thm)],[c_0_3744,c_0_3745]) ).
cnf(c_0_3750,plain,
hAPP(int,nat,nat_1,hAPP(int,int,bit0,hAPP(int,int,bit1,pls))) = hAPP(nat,nat,suc,one_one(nat)),
inference(rw,[status(thm)],[c_0_3746,c_0_3747]) ).
cnf(c_0_3751,plain,
hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),one_one(int)),hAPP(nat,int,semiring_1_of_nat(int),X1)) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,X1)),
i_0_567 ).
cnf(c_0_3752,negated_conjecture,
hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,bit1,pls)),hAPP(nat,int,semiring_1_of_nat(int),n))),hAPP(nat,nat,suc,one_one(nat))) = pls,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3748,c_0_3749]),c_0_3747]),c_0_3750]),c_0_3734]) ).
cnf(c_0_3753,plain,
hAPP(int,int,hAPP(int,fun(int,int),plus_plus(int),hAPP(int,int,bit1,pls)),hAPP(nat,int,semiring_1_of_nat(int),X1)) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,X1)),
inference(rw,[status(thm)],[c_0_3751,c_0_3749]) ).
cnf(c_0_3754,negated_conjecture,
hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,suc,n))),hAPP(nat,nat,suc,one_one(nat))) = pls,
inference(rw,[status(thm)],[c_0_3752,c_0_3753]) ).
cnf(c_0_3755,plain,
hAPP(nat,int,hAPP(int,fun(nat,int),power_power(int),hAPP(nat,int,semiring_1_of_nat(int),X1)),X2) = hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),X1),X2)),
i_0_853 ).
cnf(c_0_3756,plain,
( X1 = zero_zero(nat)
| hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),X1),X2) != zero_zero(nat) ),
i_0_1848 ).
cnf(c_0_3757,plain,
hAPP(int,nat,nat_1,hAPP(nat,int,semiring_1_of_nat(int),X1)) = X1,
i_0_3666 ).
cnf(c_0_3758,negated_conjecture,
hAPP(nat,int,semiring_1_of_nat(int),hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),hAPP(nat,nat,suc,n)),hAPP(nat,nat,suc,one_one(nat)))) = pls,
inference(rw,[status(thm)],[c_0_3754,c_0_3755]) ).
cnf(c_0_3759,plain,
hAPP(nat,nat,suc,X1) != zero_zero(nat),
i_0_387 ).
cnf(c_0_3760,plain,
( X1 = hAPP(int,nat,nat_1,pls)
| hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),X1),X2) != hAPP(int,nat,nat_1,pls) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3756,c_0_3737]),c_0_3737]) ).
cnf(c_0_3761,plain,
hAPP(nat,nat,hAPP(nat,fun(nat,nat),power_power(nat),hAPP(nat,nat,suc,n)),hAPP(nat,nat,suc,one_one(nat))) = hAPP(int,nat,nat_1,pls),
inference(spm,[status(thm)],[c_0_3757,c_0_3758]) ).
cnf(c_0_3762,plain,
hAPP(nat,nat,suc,X1) != hAPP(int,nat,nat_1,pls),
inference(rw,[status(thm)],[c_0_3759,c_0_3737]) ).
cnf(c_0_3763,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3760,c_0_3761]),c_0_3762]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM925+8 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n019.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 : Fri Jul 8 02:15:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 # ENIGMATIC: Selected SinE mode:
% 0.62/0.82 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.82 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.62/0.82 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.62/0.82 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.32/3.93 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.32/3.93 # No SInE strategy applied
% 10.32/3.93 # Trying AutoSched0 for 150 seconds
% 10.32/3.93 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.32/3.93 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.32/3.93 #
% 10.32/3.93 # Preprocessing time : 0.028 s
% 10.32/3.93 # Presaturation interreduction done
% 10.32/3.93
% 10.32/3.93 # Proof found!
% 10.32/3.93 # SZS status Theorem
% 10.32/3.93 # SZS output start CNFRefutation
% See solution above
% 10.32/3.93 # Training examples: 0 positive, 0 negative
% 10.32/3.93
% 10.32/3.93 # -------------------------------------------------
% 10.32/3.93 # User time : 0.070 s
% 10.32/3.93 # System time : 0.007 s
% 10.32/3.93 # Total time : 0.077 s
% 10.32/3.93 # Maximum resident set size: 10184 pages
% 10.32/3.93
%------------------------------------------------------------------------------