TSTP Solution File: NUM294+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM294+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n010.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 08:24:06 EDT 2022
% Result : Theorem 13.35s 2.98s
% Output : CNFRefutation 13.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 13 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 40 ( 19 ~; 15 |; 2 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 47 ( 9 sgn 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(less_entry_point_pos_pos,axiom,
! [X1,X2,X10,X11] :
( ( rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X2,rdn_pos(X11))
& rdn_positive_less(X10,X11) )
=> less(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).
fof(n12_less_something,conjecture,
? [X1] : less(n12,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n12_less_something) ).
fof(rdn104,axiom,
rdn_translate(n104,rdn_pos(rdn(rdnn(n4),rdn(rdnn(n0),rdnn(n1))))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn104) ).
fof(rdn_positive_less_multi_digit_high,axiom,
! [X4,X5,X6,X7] :
( rdn_positive_less(X5,X7)
=> rdn_positive_less(rdn(rdnn(X4),X5),rdn(rdnn(X6),X7)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_multi_digit_high) ).
fof(rdn_extra_digits_positive_less,axiom,
! [X9,X6,X7] :
( rdn_non_zero(X7)
=> rdn_positive_less(rdnn(X9),rdn(rdnn(X6),X7)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_extra_digits_positive_less) ).
fof(rdn_non_zero_by_digit,axiom,
! [X1] :
( rdn_non_zero_digit(rdnn(X1))
=> rdn_non_zero(rdnn(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_non_zero_by_digit) ).
fof(rdn12,axiom,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn12) ).
fof(rdn_digit1,axiom,
rdn_non_zero_digit(rdnn(n1)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_digit1) ).
fof(c_0_8,plain,
! [X49,X50,X51,X52] :
( ~ rdn_translate(X49,rdn_pos(X51))
| ~ rdn_translate(X50,rdn_pos(X52))
| ~ rdn_positive_less(X51,X52)
| less(X49,X50) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_pos_pos])]) ).
fof(c_0_9,negated_conjecture,
~ ? [X1] : less(n12,X1),
inference(assume_negation,[status(cth)],[n12_less_something]) ).
cnf(c_0_10,plain,
( less(X1,X3)
| ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_translate(X3,rdn_pos(X4))
| ~ rdn_positive_less(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
rdn_translate(n104,rdn_pos(rdn(rdnn(n4),rdn(rdnn(n0),rdnn(n1))))),
inference(split_conjunct,[status(thm)],[rdn104]) ).
fof(c_0_12,negated_conjecture,
! [X154] : ~ less(n12,X154),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).
fof(c_0_13,plain,
! [X36,X37,X38,X39] :
( ~ rdn_positive_less(X37,X39)
| rdn_positive_less(rdn(rdnn(X36),X37),rdn(rdnn(X38),X39)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_multi_digit_high])]) ).
fof(c_0_14,plain,
! [X43,X44,X45] :
( ~ rdn_non_zero(X45)
| rdn_positive_less(rdnn(X43),rdn(rdnn(X44),X45)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_extra_digits_positive_less])]) ).
fof(c_0_15,plain,
! [X46] :
( ~ rdn_non_zero_digit(rdnn(X46))
| rdn_non_zero(rdnn(X46)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_non_zero_by_digit])]) ).
cnf(c_0_16,plain,
( less(X1,n104)
| ~ rdn_positive_less(X2,rdn(rdnn(n4),rdn(rdnn(n0),rdnn(n1))))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,plain,
rdn_translate(n12,rdn_pos(rdn(rdnn(n2),rdnn(n1)))),
inference(split_conjunct,[status(thm)],[rdn12]) ).
cnf(c_0_18,negated_conjecture,
~ less(n12,X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( rdn_positive_less(rdn(rdnn(X3),X1),rdn(rdnn(X4),X2))
| ~ rdn_positive_less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( rdn_positive_less(rdnn(X2),rdn(rdnn(X3),X1))
| ~ rdn_non_zero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( rdn_non_zero(rdnn(X1))
| ~ rdn_non_zero_digit(rdnn(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(split_conjunct,[status(thm)],[rdn_digit1]) ).
cnf(c_0_23,plain,
~ rdn_positive_less(rdn(rdnn(n2),rdnn(n1)),rdn(rdnn(n4),rdn(rdnn(n0),rdnn(n1)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_24,plain,
( rdn_positive_less(rdn(rdnn(X1),rdnn(X2)),rdn(rdnn(X3),rdn(rdnn(X4),X5)))
| ~ rdn_non_zero(X5) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
rdn_non_zero(rdnn(n1)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : NUM294+1 : TPTP v8.1.0. Released v3.1.0.
% 0.05/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n010.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 Jul 7 23:57:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 13.35/2.98 # ENIGMATIC: Solved by autoschedule:
% 13.35/2.98 # No SInE strategy applied
% 13.35/2.98 # Trying AutoSched0 for 150 seconds
% 13.35/2.98 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 13.35/2.98 # and selection function SelectNewComplexAHP.
% 13.35/2.98 #
% 13.35/2.98 # Preprocessing time : 0.034 s
% 13.35/2.98 # Presaturation interreduction done
% 13.35/2.98
% 13.35/2.98 # Proof found!
% 13.35/2.98 # SZS status Theorem
% 13.35/2.98 # SZS output start CNFRefutation
% See solution above
% 13.35/2.98 # Training examples: 0 positive, 0 negative
% 13.35/2.98
% 13.35/2.98 # -------------------------------------------------
% 13.35/2.98 # User time : 0.676 s
% 13.35/2.98 # System time : 0.037 s
% 13.35/2.98 # Total time : 0.713 s
% 13.35/2.98 # Maximum resident set size: 7124 pages
% 13.35/2.98
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