TSTP Solution File: NUM323+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM323+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 18:58:45 EDT 2023
% Result : Theorem 60.40s 8.20s
% Output : CNFRefutation 60.40s
% 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/tmp/tmp.8mWtzmxJCU/E---3.1_23865.p',sum_entry_point_neg_neg) ).
fof(sum_what_nn5_nn7,conjecture,
? [X1] : sum(X1,nn5,nn7),
file('/export/starexec/sandbox/tmp/tmp.8mWtzmxJCU/E---3.1_23865.p',sum_what_nn5_nn7) ).
fof(rdnn7,axiom,
rdn_translate(nn7,rdn_neg(rdnn(n7))),
file('/export/starexec/sandbox/tmp/tmp.8mWtzmxJCU/E---3.1_23865.p',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/tmp/tmp.8mWtzmxJCU/E---3.1_23865.p',add_digit_digit_digit) ).
fof(rdnn5,axiom,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
file('/export/starexec/sandbox/tmp/tmp.8mWtzmxJCU/E---3.1_23865.p',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/tmp/tmp.8mWtzmxJCU/E---3.1_23865.p',rdn_digit_add_n7_n0_n7_n0) ).
fof(rdnn2,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox/tmp/tmp.8mWtzmxJCU/E---3.1_23865.p',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/tmp/tmp.8mWtzmxJCU/E---3.1_23865.p',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
% 0.07/0.12 % Problem : NUM323+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n015.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 15:20:16 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.51 Running first-order model finding
% 0.21/0.51 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.8mWtzmxJCU/E---3.1_23865.p
% 60.40/8.20 # Version: 3.1pre001
% 60.40/8.20 # Preprocessing class: FSLMSMSLSSSNFFN.
% 60.40/8.20 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 60.40/8.20 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 60.40/8.20 # Starting new_bool_3 with 600s (2) cores
% 60.40/8.20 # Starting new_bool_1 with 600s (2) cores
% 60.40/8.20 # Starting sh5l with 300s (1) cores
% 60.40/8.20 # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 24014 completed with status 0
% 60.40/8.20 # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 60.40/8.20 # Preprocessing class: FSLMSMSLSSSNFFN.
% 60.40/8.20 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 60.40/8.20 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 60.40/8.20 # No SInE strategy applied
% 60.40/8.20 # Search class: FGHSF-FSLM21-MFFFFFNN
% 60.40/8.20 # Scheduled 11 strats onto 3 cores with 900 seconds (900 total)
% 60.40/8.20 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 82s (1) cores
% 60.40/8.20 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 60.40/8.20 # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 82s (1) cores
% 60.40/8.20 # G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with pid 24025 completed with status 0
% 60.40/8.20 # Result found by G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S
% 60.40/8.20 # Preprocessing class: FSLMSMSLSSSNFFN.
% 60.40/8.20 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 60.40/8.20 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 60.40/8.20 # No SInE strategy applied
% 60.40/8.20 # Search class: FGHSF-FSLM21-MFFFFFNN
% 60.40/8.20 # Scheduled 11 strats onto 3 cores with 900 seconds (900 total)
% 60.40/8.20 # Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 82s (1) cores
% 60.40/8.20 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 60.40/8.20 # Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 82s (1) cores
% 60.40/8.20 # Preprocessing time : 0.007 s
% 60.40/8.20 # Presaturation interreduction done
% 60.40/8.20
% 60.40/8.20 # Proof found!
% 60.40/8.20 # SZS status Theorem
% 60.40/8.20 # SZS output start CNFRefutation
% See solution above
% 60.40/8.21 # Parsed axioms : 402
% 60.40/8.21 # Removed by relevancy pruning/SinE : 0
% 60.40/8.21 # Initial clauses : 407
% 60.40/8.21 # Removed in clause preprocessing : 0
% 60.40/8.21 # Initial clauses in saturation : 407
% 60.40/8.21 # Processed clauses : 11493
% 60.40/8.21 # ...of these trivial : 0
% 60.40/8.21 # ...subsumed : 105
% 60.40/8.21 # ...remaining for further processing : 11388
% 60.40/8.21 # Other redundant clauses eliminated : 2
% 60.40/8.21 # Clauses deleted for lack of memory : 0
% 60.40/8.21 # Backward-subsumed : 0
% 60.40/8.21 # Backward-rewritten : 0
% 60.40/8.21 # Generated clauses : 139740
% 60.40/8.21 # ...of the previous two non-redundant : 138592
% 60.40/8.21 # ...aggressively subsumed : 0
% 60.40/8.21 # Contextual simplify-reflections : 0
% 60.40/8.21 # Paramodulations : 139736
% 60.40/8.21 # Factorizations : 2
% 60.40/8.21 # NegExts : 0
% 60.40/8.21 # Equation resolutions : 2
% 60.40/8.21 # Total rewrite steps : 2741
% 60.40/8.21 # Propositional unsat checks : 0
% 60.40/8.21 # Propositional check models : 0
% 60.40/8.21 # Propositional check unsatisfiable : 0
% 60.40/8.21 # Propositional clauses : 0
% 60.40/8.21 # Propositional clauses after purity: 0
% 60.40/8.21 # Propositional unsat core size : 0
% 60.40/8.21 # Propositional preprocessing time : 0.000
% 60.40/8.21 # Propositional encoding time : 0.000
% 60.40/8.21 # Propositional solver time : 0.000
% 60.40/8.21 # Success case prop preproc time : 0.000
% 60.40/8.21 # Success case prop encoding time : 0.000
% 60.40/8.21 # Success case prop solver time : 0.000
% 60.40/8.21 # Current number of processed clauses : 10979
% 60.40/8.21 # Positive orientable unit clauses : 5416
% 60.40/8.21 # Positive unorientable unit clauses: 0
% 60.40/8.21 # Negative unit clauses : 4333
% 60.40/8.21 # Non-unit-clauses : 1230
% 60.40/8.21 # Current number of unprocessed clauses: 127908
% 60.40/8.21 # ...number of literals in the above : 336722
% 60.40/8.21 # Current number of archived formulas : 0
% 60.40/8.21 # Current number of archived clauses : 407
% 60.40/8.21 # Clause-clause subsumption calls (NU) : 646057
% 60.40/8.21 # Rec. Clause-clause subsumption calls : 253287
% 60.40/8.21 # Non-unit clause-clause subsumptions : 1
% 60.40/8.21 # Unit Clause-clause subsumption calls : 7102192
% 60.40/8.21 # Rewrite failures with RHS unbound : 0
% 60.40/8.21 # BW rewrite match attempts : 39
% 60.40/8.21 # BW rewrite match successes : 0
% 60.40/8.21 # Condensation attempts : 0
% 60.40/8.21 # Condensation successes : 0
% 60.40/8.21 # Termbank termtop insertions : 2779405
% 60.40/8.21
% 60.40/8.21 # -------------------------------------------------
% 60.40/8.21 # User time : 7.411 s
% 60.40/8.21 # System time : 0.134 s
% 60.40/8.21 # Total time : 7.545 s
% 60.40/8.21 # Maximum resident set size: 2600 pages
% 60.40/8.21
% 60.40/8.21 # -------------------------------------------------
% 60.40/8.21 # User time : 22.327 s
% 60.40/8.21 # System time : 0.417 s
% 60.40/8.21 # Total time : 22.744 s
% 60.40/8.21 # Maximum resident set size: 2036 pages
% 60.40/8.21 % E---3.1 exiting
%------------------------------------------------------------------------------