TSTP Solution File: NUM323+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM323+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 08:24:16 EDT 2022
% Result : Theorem 47.97s 7.42s
% Output : CNFRefutation 47.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 16 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 45 ( 22 ~; 17 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-1 aty)
% Number of variables : 45 ( 2 sgn 23 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sum_entry_point_neg_neg,axiom,
! [X1,X2,X3,X10,X11,X12] :
( ( rdn_translate(X1,rdn_neg(X10))
& rdn_translate(X2,rdn_neg(X11))
& rdn_add_with_carry(rdnn(n0),X10,X11,X12)
& rdn_translate(X3,rdn_neg(X12)) )
=> sum(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',sum_entry_point_neg_neg) ).
fof(sum_what_nn5_nn7,conjecture,
? [X1] : sum(X1,nn5,nn7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_what_nn5_nn7) ).
fof(rdnn7,axiom,
rdn_translate(nn7,rdn_neg(rdnn(n7))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn7) ).
fof(add_digit_digit_digit,axiom,
! [X21,X22,X23,X24,X25] :
( ( rdn_digit_add(rdnn(X22),rdnn(X23),rdnn(X25),rdnn(n0))
& rdn_digit_add(rdnn(X25),rdnn(X21),rdnn(X24),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(X21),rdnn(X22),rdnn(X23),rdnn(X24)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',add_digit_digit_digit) ).
fof(rdnn5,axiom,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn5) ).
fof(rdn_digit_add_n7_n0_n7_n0,axiom,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n7_n0_n7_n0) ).
fof(rdnn2,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn2) ).
fof(rdn_digit_add_n2_n5_n7_n0,axiom,
rdn_digit_add(rdnn(n2),rdnn(n5),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax',rdn_digit_add_n2_n5_n7_n0) ).
fof(c_0_8,plain,
! [X74,X75,X76,X77,X78,X79] :
( ~ rdn_translate(X74,rdn_neg(X77))
| ~ rdn_translate(X75,rdn_neg(X78))
| ~ rdn_add_with_carry(rdnn(n0),X77,X78,X79)
| ~ rdn_translate(X76,rdn_neg(X79))
| sum(X74,X75,X76) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_entry_point_neg_neg])]) ).
fof(c_0_9,negated_conjecture,
~ ? [X1] : sum(X1,nn5,nn7),
inference(assume_negation,[status(cth)],[sum_what_nn5_nn7]) ).
cnf(c_0_10,plain,
( sum(X1,X3,X6)
| ~ rdn_translate(X1,rdn_neg(X2))
| ~ rdn_translate(X3,rdn_neg(X4))
| ~ rdn_add_with_carry(rdnn(n0),X2,X4,X5)
| ~ rdn_translate(X6,rdn_neg(X5)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
rdn_translate(nn7,rdn_neg(rdnn(n7))),
inference(split_conjunct,[status(thm)],[rdnn7]) ).
fof(c_0_12,negated_conjecture,
! [X154] : ~ sum(X154,nn5,nn7),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).
fof(c_0_13,plain,
! [X115,X116,X117,X118,X119] :
( ~ rdn_digit_add(rdnn(X116),rdnn(X117),rdnn(X119),rdnn(n0))
| ~ rdn_digit_add(rdnn(X119),rdnn(X115),rdnn(X118),rdnn(n0))
| rdn_add_with_carry(rdnn(X115),rdnn(X116),rdnn(X117),rdnn(X118)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[add_digit_digit_digit])]) ).
cnf(c_0_14,plain,
( sum(X1,X2,nn7)
| ~ rdn_add_with_carry(rdnn(n0),X3,X4,rdnn(n7))
| ~ rdn_translate(X2,rdn_neg(X4))
| ~ rdn_translate(X1,rdn_neg(X3)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(split_conjunct,[status(thm)],[rdnn5]) ).
cnf(c_0_16,negated_conjecture,
~ sum(X1,nn5,nn7),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( rdn_add_with_carry(rdnn(X4),rdnn(X1),rdnn(X2),rdnn(X5))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
| ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X5),rdnn(n0)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
inference(split_conjunct,[status(thm)],[rdn_digit_add_n7_n0_n7_n0]) ).
cnf(c_0_19,plain,
( ~ rdn_add_with_carry(rdnn(n0),X1,rdnn(n5),rdnn(n7))
| ~ rdn_translate(X2,rdn_neg(X1)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_20,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(split_conjunct,[status(thm)],[rdnn2]) ).
cnf(c_0_21,plain,
( rdn_add_with_carry(rdnn(n0),rdnn(X1),rdnn(X2),rdnn(n7))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(n7),rdnn(n0)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
rdn_digit_add(rdnn(n2),rdnn(n5),rdnn(n7),rdnn(n0)),
inference(split_conjunct,[status(thm)],[rdn_digit_add_n2_n5_n7_n0]) ).
cnf(c_0_23,plain,
~ rdn_add_with_carry(rdnn(n0),rdnn(n2),rdnn(n5),rdnn(n7)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM323+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 8 00:48:02 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 47.97/7.42 # ENIGMATIC: Solved by autoschedule:
% 47.97/7.42 # No SInE strategy applied
% 47.97/7.42 # Trying AutoSched0 for 150 seconds
% 47.97/7.42 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 47.97/7.42 # and selection function SelectNewComplexAHP.
% 47.97/7.42 #
% 47.97/7.42 # Preprocessing time : 0.024 s
% 47.97/7.42 # Presaturation interreduction done
% 47.97/7.42
% 47.97/7.42 # Proof found!
% 47.97/7.42 # SZS status Theorem
% 47.97/7.42 # SZS output start CNFRefutation
% See solution above
% 47.97/7.42 # Training examples: 0 positive, 0 negative
% 47.97/7.42
% 47.97/7.42 # -------------------------------------------------
% 47.97/7.42 # User time : 5.075 s
% 47.97/7.42 # System time : 0.122 s
% 47.97/7.42 # Total time : 5.197 s
% 47.97/7.42 # Maximum resident set size: 7124 pages
% 47.97/7.42
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