TSTP Solution File: NUM342+1 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM342+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:58:48 EDT 2023
% Result : Theorem 1.20s 0.62s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 39 ( 18 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 75 ( 34 ~; 31 |; 7 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 66 ( 0 sgn; 30 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/tmp/tmp.CADJqHndxd/E---3.1_4621.p',add_digit_digit_digit) ).
fof(rdn_digit_add_n4_n0_n4_n0,axiom,
rdn_digit_add(rdnn(n4),rdnn(n0),rdnn(n4),rdnn(n0)),
file('/export/starexec/sandbox2/tmp/tmp.CADJqHndxd/E---3.1_4621.p',rdn_digit_add_n4_n0_n4_n0) ).
fof(sum_entry_point_pos_pos,axiom,
! [X1,X2,X3,X10,X11,X12] :
( ( rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X2,rdn_pos(X11))
& rdn_add_with_carry(rdnn(n0),X10,X11,X12)
& rdn_translate(X3,rdn_pos(X12)) )
=> sum(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.CADJqHndxd/E---3.1_4621.p',sum_entry_point_pos_pos) ).
fof(rdn_digit_add_n8_n0_n8_n0,axiom,
rdn_digit_add(rdnn(n8),rdnn(n0),rdnn(n8),rdnn(n0)),
file('/export/starexec/sandbox2/tmp/tmp.CADJqHndxd/E---3.1_4621.p',rdn_digit_add_n8_n0_n8_n0) ).
fof(rdn_digit_add_n4_n4_n8_n0,axiom,
rdn_digit_add(rdnn(n4),rdnn(n4),rdnn(n8),rdnn(n0)),
file('/export/starexec/sandbox2/tmp/tmp.CADJqHndxd/E---3.1_4621.p',rdn_digit_add_n4_n4_n8_n0) ).
fof(rdn4,axiom,
rdn_translate(n4,rdn_pos(rdnn(n4))),
file('/export/starexec/sandbox2/tmp/tmp.CADJqHndxd/E---3.1_4621.p',rdn4) ).
fof(rdn0,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox2/tmp/tmp.CADJqHndxd/E---3.1_4621.p',rdn0) ).
fof(rdn8,axiom,
rdn_translate(n8,rdn_pos(rdnn(n8))),
file('/export/starexec/sandbox2/tmp/tmp.CADJqHndxd/E---3.1_4621.p',rdn8) ).
fof(sum_and_difference,conjecture,
? [X1,X2] :
( sum(X1,X2,n8)
& difference(X1,X2,n0) ),
file('/export/starexec/sandbox2/tmp/tmp.CADJqHndxd/E---3.1_4621.p',sum_and_difference) ).
fof(minus_entry_point,axiom,
! [X1,X2,X3] :
( sum(X2,X3,X1)
<=> difference(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.CADJqHndxd/E---3.1_4621.p',minus_entry_point) ).
fof(c_0_10,plain,
! [X82,X83,X84,X85,X86] :
( ~ rdn_digit_add(rdnn(X83),rdnn(X84),rdnn(X86),rdnn(n0))
| ~ rdn_digit_add(rdnn(X86),rdnn(X82),rdnn(X85),rdnn(n0))
| rdn_add_with_carry(rdnn(X82),rdnn(X83),rdnn(X84),rdnn(X85)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[add_digit_digit_digit])]) ).
cnf(c_0_11,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_10]) ).
cnf(c_0_12,plain,
rdn_digit_add(rdnn(n4),rdnn(n0),rdnn(n4),rdnn(n0)),
inference(split_conjunct,[status(thm)],[rdn_digit_add_n4_n0_n4_n0]) ).
fof(c_0_13,plain,
! [X38,X39,X40,X41,X42,X43] :
( ~ rdn_translate(X38,rdn_pos(X41))
| ~ rdn_translate(X39,rdn_pos(X42))
| ~ rdn_add_with_carry(rdnn(n0),X41,X42,X43)
| ~ rdn_translate(X40,rdn_pos(X43))
| sum(X38,X39,X40) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_entry_point_pos_pos])]) ).
cnf(c_0_14,plain,
( rdn_add_with_carry(rdnn(n0),rdnn(X1),rdnn(X2),rdnn(n4))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(n4),rdnn(n0)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
rdn_digit_add(rdnn(n8),rdnn(n0),rdnn(n8),rdnn(n0)),
inference(split_conjunct,[status(thm)],[rdn_digit_add_n8_n0_n8_n0]) ).
cnf(c_0_16,plain,
( sum(X1,X3,X6)
| ~ rdn_translate(X1,rdn_pos(X2))
| ~ rdn_translate(X3,rdn_pos(X4))
| ~ rdn_add_with_carry(rdnn(n0),X2,X4,X5)
| ~ rdn_translate(X6,rdn_pos(X5)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n4),rdnn(n0),rdnn(n4)),
inference(spm,[status(thm)],[c_0_14,c_0_12]) ).
cnf(c_0_18,plain,
( rdn_add_with_carry(rdnn(n0),rdnn(X1),rdnn(X2),rdnn(n8))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(n8),rdnn(n0)) ),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_19,plain,
rdn_digit_add(rdnn(n4),rdnn(n4),rdnn(n8),rdnn(n0)),
inference(split_conjunct,[status(thm)],[rdn_digit_add_n4_n4_n8_n0]) ).
cnf(c_0_20,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(rdnn(n4)))
| ~ rdn_translate(X2,rdn_pos(rdnn(n0)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n4))) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
rdn_translate(n4,rdn_pos(rdnn(n4))),
inference(split_conjunct,[status(thm)],[rdn4]) ).
cnf(c_0_22,plain,
rdn_add_with_carry(rdnn(n0),rdnn(n4),rdnn(n4),rdnn(n8)),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( sum(X1,X2,n4)
| ~ rdn_translate(X2,rdn_pos(rdnn(n0)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n4))) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(split_conjunct,[status(thm)],[rdn0]) ).
cnf(c_0_25,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(rdnn(n8)))
| ~ rdn_translate(X2,rdn_pos(rdnn(n4)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n4))) ),
inference(spm,[status(thm)],[c_0_16,c_0_22]) ).
cnf(c_0_26,plain,
rdn_translate(n8,rdn_pos(rdnn(n8))),
inference(split_conjunct,[status(thm)],[rdn8]) ).
fof(c_0_27,negated_conjecture,
~ ? [X1,X2] :
( sum(X1,X2,n8)
& difference(X1,X2,n0) ),
inference(assume_negation,[status(cth)],[sum_and_difference]) ).
fof(c_0_28,plain,
! [X35,X36,X37] :
( ( ~ sum(X36,X37,X35)
| difference(X35,X36,X37) )
& ( ~ difference(X35,X36,X37)
| sum(X36,X37,X35) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[minus_entry_point])]) ).
cnf(c_0_29,plain,
( sum(X1,n0,n4)
| ~ rdn_translate(X1,rdn_pos(rdnn(n4))) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
( sum(X1,X2,n8)
| ~ rdn_translate(X2,rdn_pos(rdnn(n4)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n4))) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_31,negated_conjecture,
! [X33,X34] :
( ~ sum(X33,X34,n8)
| ~ difference(X33,X34,n0) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])]) ).
cnf(c_0_32,plain,
( difference(X3,X1,X2)
| ~ sum(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
sum(n4,n0,n4),
inference(spm,[status(thm)],[c_0_29,c_0_21]) ).
cnf(c_0_34,plain,
( sum(X1,n4,n8)
| ~ rdn_translate(X1,rdn_pos(rdnn(n4))) ),
inference(spm,[status(thm)],[c_0_30,c_0_21]) ).
cnf(c_0_35,negated_conjecture,
( ~ sum(X1,X2,n8)
| ~ difference(X1,X2,n0) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,plain,
difference(n4,n4,n0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
sum(n4,n4,n8),
inference(spm,[status(thm)],[c_0_34,c_0_21]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM342+1 : TPTP v8.1.2. Released v3.1.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n010.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 14:25:20 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 Running first-order model finding
% 0.20/0.49 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.CADJqHndxd/E---3.1_4621.p
% 1.20/0.62 # Version: 3.1pre001
% 1.20/0.62 # Preprocessing class: FSLMSMSLSSSNFFN.
% 1.20/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.20/0.62 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 1.20/0.62 # Starting new_bool_3 with 600s (2) cores
% 1.20/0.62 # Starting new_bool_1 with 600s (2) cores
% 1.20/0.62 # Starting sh5l with 300s (1) cores
% 1.20/0.62 # new_bool_3 with pid 4785 completed with status 0
% 1.20/0.62 # Result found by new_bool_3
% 1.20/0.62 # Preprocessing class: FSLMSMSLSSSNFFN.
% 1.20/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.20/0.62 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 1.20/0.62 # Starting new_bool_3 with 600s (2) cores
% 1.20/0.62 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.20/0.62 # Search class: FHHSF-FFMM21-SFFFFFNN
% 1.20/0.62 # partial match(1): FGHSF-FFMM21-SFFFFFNN
% 1.20/0.62 # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 1.20/0.62 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 325s (1) cores
% 1.20/0.62 # Starting new_bool_3 with 61s (1) cores
% 1.20/0.62 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with pid 4789 completed with status 0
% 1.20/0.62 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v
% 1.20/0.62 # Preprocessing class: FSLMSMSLSSSNFFN.
% 1.20/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.20/0.62 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 1.20/0.62 # Starting new_bool_3 with 600s (2) cores
% 1.20/0.62 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.20/0.62 # Search class: FHHSF-FFMM21-SFFFFFNN
% 1.20/0.62 # partial match(1): FGHSF-FFMM21-SFFFFFNN
% 1.20/0.62 # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 1.20/0.62 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2v with 325s (1) cores
% 1.20/0.62 # Preprocessing time : 0.003 s
% 1.20/0.62 # Presaturation interreduction done
% 1.20/0.62
% 1.20/0.62 # Proof found!
% 1.20/0.62 # SZS status Theorem
% 1.20/0.62 # SZS output start CNFRefutation
% See solution above
% 1.20/0.62 # Parsed axioms : 402
% 1.20/0.62 # Removed by relevancy pruning/SinE : 261
% 1.20/0.62 # Initial clauses : 142
% 1.20/0.62 # Removed in clause preprocessing : 0
% 1.20/0.62 # Initial clauses in saturation : 142
% 1.20/0.62 # Processed clauses : 1123
% 1.20/0.62 # ...of these trivial : 0
% 1.20/0.62 # ...subsumed : 0
% 1.20/0.62 # ...remaining for further processing : 1123
% 1.20/0.62 # Other redundant clauses eliminated : 0
% 1.20/0.62 # Clauses deleted for lack of memory : 0
% 1.20/0.62 # Backward-subsumed : 17
% 1.20/0.62 # Backward-rewritten : 17
% 1.20/0.62 # Generated clauses : 1508
% 1.20/0.62 # ...of the previous two non-redundant : 1365
% 1.20/0.62 # ...aggressively subsumed : 0
% 1.20/0.62 # Contextual simplify-reflections : 0
% 1.20/0.62 # Paramodulations : 1508
% 1.20/0.62 # Factorizations : 0
% 1.20/0.62 # NegExts : 0
% 1.20/0.62 # Equation resolutions : 0
% 1.20/0.62 # Total rewrite steps : 247
% 1.20/0.62 # Propositional unsat checks : 0
% 1.20/0.62 # Propositional check models : 0
% 1.20/0.62 # Propositional check unsatisfiable : 0
% 1.20/0.62 # Propositional clauses : 0
% 1.20/0.62 # Propositional clauses after purity: 0
% 1.20/0.62 # Propositional unsat core size : 0
% 1.20/0.62 # Propositional preprocessing time : 0.000
% 1.20/0.62 # Propositional encoding time : 0.000
% 1.20/0.62 # Propositional solver time : 0.000
% 1.20/0.62 # Success case prop preproc time : 0.000
% 1.20/0.62 # Success case prop encoding time : 0.000
% 1.20/0.62 # Success case prop solver time : 0.000
% 1.20/0.62 # Current number of processed clauses : 947
% 1.20/0.62 # Positive orientable unit clauses : 424
% 1.20/0.62 # Positive unorientable unit clauses: 0
% 1.20/0.62 # Negative unit clauses : 6
% 1.20/0.62 # Non-unit-clauses : 517
% 1.20/0.62 # Current number of unprocessed clauses: 526
% 1.20/0.62 # ...number of literals in the above : 2082
% 1.20/0.62 # Current number of archived formulas : 0
% 1.20/0.62 # Current number of archived clauses : 176
% 1.20/0.62 # Clause-clause subsumption calls (NU) : 63600
% 1.20/0.62 # Rec. Clause-clause subsumption calls : 41733
% 1.20/0.62 # Non-unit clause-clause subsumptions : 17
% 1.20/0.62 # Unit Clause-clause subsumption calls : 1781
% 1.20/0.62 # Rewrite failures with RHS unbound : 0
% 1.20/0.62 # BW rewrite match attempts : 1252
% 1.20/0.62 # BW rewrite match successes : 17
% 1.20/0.62 # Condensation attempts : 0
% 1.20/0.62 # Condensation successes : 0
% 1.20/0.62 # Termbank termtop insertions : 47725
% 1.20/0.62
% 1.20/0.62 # -------------------------------------------------
% 1.20/0.62 # User time : 0.096 s
% 1.20/0.62 # System time : 0.013 s
% 1.20/0.62 # Total time : 0.109 s
% 1.20/0.62 # Maximum resident set size: 2988 pages
% 1.20/0.62
% 1.20/0.62 # -------------------------------------------------
% 1.20/0.62 # User time : 0.205 s
% 1.20/0.62 # System time : 0.016 s
% 1.20/0.62 # Total time : 0.221 s
% 1.20/0.62 # Maximum resident set size: 2036 pages
% 1.20/0.62 % E---3.1 exiting
%------------------------------------------------------------------------------