TSTP Solution File: NUM292+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM292+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:46:16 EDT 2023
% Result : Theorem 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 12 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 15 ~; 12 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 2 sgn; 16 !; 0 ?)
% 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/tmp/tmp.q2g00jmDPs/E---3.1_858.p',less_entry_point_pos_pos) ).
fof(rdn13,axiom,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
file('/export/starexec/sandbox/tmp/tmp.q2g00jmDPs/E---3.1_858.p',rdn13) ).
fof(n2_less_n13,conjecture,
less(n2,n13),
file('/export/starexec/sandbox/tmp/tmp.q2g00jmDPs/E---3.1_858.p',n2_less_n13) ).
fof(rdn_non_zero_by_digit,axiom,
! [X1] :
( rdn_non_zero_digit(rdnn(X1))
=> rdn_non_zero(rdnn(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.q2g00jmDPs/E---3.1_858.p',rdn_non_zero_by_digit) ).
fof(rdn2,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox/tmp/tmp.q2g00jmDPs/E---3.1_858.p',rdn2) ).
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/tmp/tmp.q2g00jmDPs/E---3.1_858.p',rdn_extra_digits_positive_less) ).
fof(rdn_digit1,axiom,
rdn_non_zero_digit(rdnn(n1)),
file('/export/starexec/sandbox/tmp/tmp.q2g00jmDPs/E---3.1_858.p',rdn_digit1) ).
fof(c_0_7,plain,
! [X33,X34,X35,X36] :
( ~ rdn_translate(X33,rdn_pos(X35))
| ~ rdn_translate(X34,rdn_pos(X36))
| ~ rdn_positive_less(X35,X36)
| less(X33,X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_pos_pos])]) ).
cnf(c_0_8,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_7]) ).
cnf(c_0_9,plain,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
inference(split_conjunct,[status(thm)],[rdn13]) ).
fof(c_0_10,negated_conjecture,
~ less(n2,n13),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[n2_less_n13])]) ).
fof(c_0_11,plain,
! [X109] :
( ~ rdn_non_zero_digit(rdnn(X109))
| rdn_non_zero(rdnn(X109)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_non_zero_by_digit])]) ).
cnf(c_0_12,plain,
( less(X1,n13)
| ~ rdn_positive_less(X2,rdn(rdnn(n3),rdnn(n1)))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(split_conjunct,[status(thm)],[rdn2]) ).
cnf(c_0_14,negated_conjecture,
~ less(n2,n13),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_15,plain,
! [X62,X63,X64] :
( ~ rdn_non_zero(X64)
| rdn_positive_less(rdnn(X62),rdn(rdnn(X63),X64)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_extra_digits_positive_less])]) ).
cnf(c_0_16,plain,
( rdn_non_zero(rdnn(X1))
| ~ rdn_non_zero_digit(rdnn(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(split_conjunct,[status(thm)],[rdn_digit1]) ).
cnf(c_0_18,plain,
~ rdn_positive_less(rdnn(n2),rdn(rdnn(n3),rdnn(n1))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_19,plain,
( rdn_positive_less(rdnn(X2),rdn(rdnn(X3),X1))
| ~ rdn_non_zero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
rdn_non_zero(rdnn(n1)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : NUM292+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Oct 2 14:09:45 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.q2g00jmDPs/E---3.1_858.p
% 0.19/0.50 # Version: 3.1pre001
% 0.19/0.50 # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.19/0.50 # Starting new_bool_3 with 600s (2) cores
% 0.19/0.50 # Starting new_bool_1 with 600s (2) cores
% 0.19/0.50 # Starting sh5l with 300s (1) cores
% 0.19/0.50 # sh5l with pid 974 completed with status 0
% 0.19/0.50 # Result found by sh5l
% 0.19/0.50 # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.19/0.50 # Starting new_bool_3 with 600s (2) cores
% 0.19/0.50 # Starting new_bool_1 with 600s (2) cores
% 0.19/0.50 # Starting sh5l with 300s (1) cores
% 0.19/0.50 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.50 # Search class: FGHSF-FFLM21-MFFFFFNN
% 0.19/0.50 # partial match(1): FGHSF-FSLM21-MFFFFFNN
% 0.19/0.50 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 28s (1) cores
% 0.19/0.50 # G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with pid 985 completed with status 0
% 0.19/0.50 # Result found by G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c
% 0.19/0.50 # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.19/0.50 # Starting new_bool_3 with 600s (2) cores
% 0.19/0.50 # Starting new_bool_1 with 600s (2) cores
% 0.19/0.50 # Starting sh5l with 300s (1) cores
% 0.19/0.50 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.50 # Search class: FGHSF-FFLM21-MFFFFFNN
% 0.19/0.50 # partial match(1): FGHSF-FSLM21-MFFFFFNN
% 0.19/0.50 # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 28s (1) cores
% 0.19/0.50 # Preprocessing time : 0.003 s
% 0.19/0.50 # Presaturation interreduction done
% 0.19/0.50
% 0.19/0.50 # Proof found!
% 0.19/0.50 # SZS status Theorem
% 0.19/0.50 # SZS output start CNFRefutation
% See solution above
% 0.19/0.50 # Parsed axioms : 402
% 0.19/0.50 # Removed by relevancy pruning/SinE : 246
% 0.19/0.50 # Initial clauses : 160
% 0.19/0.50 # Removed in clause preprocessing : 0
% 0.19/0.50 # Initial clauses in saturation : 160
% 0.19/0.50 # Processed clauses : 440
% 0.19/0.50 # ...of these trivial : 0
% 0.19/0.50 # ...subsumed : 2
% 0.19/0.50 # ...remaining for further processing : 438
% 0.19/0.50 # Other redundant clauses eliminated : 2
% 0.19/0.50 # Clauses deleted for lack of memory : 0
% 0.19/0.50 # Backward-subsumed : 0
% 0.19/0.50 # Backward-rewritten : 1
% 0.19/0.50 # Generated clauses : 597
% 0.19/0.50 # ...of the previous two non-redundant : 569
% 0.19/0.50 # ...aggressively subsumed : 0
% 0.19/0.50 # Contextual simplify-reflections : 0
% 0.19/0.50 # Paramodulations : 593
% 0.19/0.50 # Factorizations : 2
% 0.19/0.50 # NegExts : 0
% 0.19/0.50 # Equation resolutions : 2
% 0.19/0.50 # Total rewrite steps : 33
% 0.19/0.50 # Propositional unsat checks : 0
% 0.19/0.50 # Propositional check models : 0
% 0.19/0.50 # Propositional check unsatisfiable : 0
% 0.19/0.50 # Propositional clauses : 0
% 0.19/0.50 # Propositional clauses after purity: 0
% 0.19/0.50 # Propositional unsat core size : 0
% 0.19/0.50 # Propositional preprocessing time : 0.000
% 0.19/0.50 # Propositional encoding time : 0.000
% 0.19/0.50 # Propositional solver time : 0.000
% 0.19/0.50 # Success case prop preproc time : 0.000
% 0.19/0.50 # Success case prop encoding time : 0.000
% 0.19/0.50 # Success case prop solver time : 0.000
% 0.19/0.50 # Current number of processed clauses : 275
% 0.19/0.50 # Positive orientable unit clauses : 158
% 0.19/0.50 # Positive unorientable unit clauses: 0
% 0.19/0.50 # Negative unit clauses : 23
% 0.19/0.50 # Non-unit-clauses : 94
% 0.19/0.50 # Current number of unprocessed clauses: 449
% 0.19/0.50 # ...number of literals in the above : 1954
% 0.19/0.50 # Current number of archived formulas : 0
% 0.19/0.50 # Current number of archived clauses : 161
% 0.19/0.50 # Clause-clause subsumption calls (NU) : 1805
% 0.19/0.50 # Rec. Clause-clause subsumption calls : 1129
% 0.19/0.50 # Non-unit clause-clause subsumptions : 2
% 0.19/0.50 # Unit Clause-clause subsumption calls : 875
% 0.19/0.50 # Rewrite failures with RHS unbound : 0
% 0.19/0.50 # BW rewrite match attempts : 1
% 0.19/0.50 # BW rewrite match successes : 1
% 0.19/0.50 # Condensation attempts : 0
% 0.19/0.50 # Condensation successes : 0
% 0.19/0.50 # Termbank termtop insertions : 25486
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.030 s
% 0.19/0.50 # System time : 0.006 s
% 0.19/0.50 # Total time : 0.037 s
% 0.19/0.50 # Maximum resident set size: 2772 pages
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.032 s
% 0.19/0.50 # System time : 0.009 s
% 0.19/0.50 # Total time : 0.041 s
% 0.19/0.50 # Maximum resident set size: 2036 pages
% 0.19/0.50 % E---3.1 exiting
% 0.19/0.50 % E---3.1 exiting
%------------------------------------------------------------------------------