TSTP Solution File: NUM312+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM312+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 18:58:44 EDT 2023
% Result : Theorem 0.16s 0.53s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 71 ( 8 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 70 ( 31 ~; 28 |; 6 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 61 ( 0 sgn; 32 !; 0 ?)
% 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.mkbxSQCjqU/E---3.1_1886.p',add_digit_digit_digit) ).
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.mkbxSQCjqU/E---3.1_1886.p',sum_entry_point_pos_pos) ).
fof(rdn_digit_add_n5_n0_n5_n0,axiom,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox2/tmp/tmp.mkbxSQCjqU/E---3.1_1886.p',rdn_digit_add_n5_n0_n5_n0) ).
fof(rdn_digit_add_n2_n3_n5_n0,axiom,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
file('/export/starexec/sandbox2/tmp/tmp.mkbxSQCjqU/E---3.1_1886.p',rdn_digit_add_n2_n3_n5_n0) ).
fof(sum_only_n2_n3_n5,conjecture,
! [X1] :
( sum(X1,n3,n5)
=> X1 = n2 ),
file('/export/starexec/sandbox2/tmp/tmp.mkbxSQCjqU/E---3.1_1886.p',sum_only_n2_n3_n5) ).
fof(rdn5,axiom,
rdn_translate(n5,rdn_pos(rdnn(n5))),
file('/export/starexec/sandbox2/tmp/tmp.mkbxSQCjqU/E---3.1_1886.p',rdn5) ).
fof(unique_LHS,axiom,
! [X17,X18,X2,X3] :
( ( sum(X17,X2,X3)
& sum(X18,X2,X3) )
=> X17 = X18 ),
file('/export/starexec/sandbox2/tmp/tmp.mkbxSQCjqU/E---3.1_1886.p',unique_LHS) ).
fof(rdn3,axiom,
rdn_translate(n3,rdn_pos(rdnn(n3))),
file('/export/starexec/sandbox2/tmp/tmp.mkbxSQCjqU/E---3.1_1886.p',rdn3) ).
fof(rdn2,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox2/tmp/tmp.mkbxSQCjqU/E---3.1_1886.p',rdn2) ).
fof(c_0_9,plain,
! [X78,X79,X80,X81,X82] :
( ~ rdn_digit_add(rdnn(X79),rdnn(X80),rdnn(X82),rdnn(n0))
| ~ rdn_digit_add(rdnn(X82),rdnn(X78),rdnn(X81),rdnn(n0))
| rdn_add_with_carry(rdnn(X78),rdnn(X79),rdnn(X80),rdnn(X81)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[add_digit_digit_digit])]) ).
fof(c_0_10,plain,
! [X34,X35,X36,X37,X38,X39] :
( ~ rdn_translate(X34,rdn_pos(X37))
| ~ rdn_translate(X35,rdn_pos(X38))
| ~ rdn_add_with_carry(rdnn(n0),X37,X38,X39)
| ~ rdn_translate(X36,rdn_pos(X39))
| sum(X34,X35,X36) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_entry_point_pos_pos])]) ).
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_9]) ).
cnf(c_0_12,plain,
rdn_digit_add(rdnn(n5),rdnn(n0),rdnn(n5),rdnn(n0)),
inference(split_conjunct,[status(thm)],[rdn_digit_add_n5_n0_n5_n0]) ).
cnf(c_0_13,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_10]) ).
cnf(c_0_14,plain,
( rdn_add_with_carry(rdnn(n0),rdnn(X1),rdnn(X2),rdnn(n5))
| ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(n5),rdnn(n0)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( sum(X1,X2,X3)
| ~ rdn_digit_add(rdnn(X4),rdnn(X5),rdnn(n5),rdnn(n0))
| ~ rdn_translate(X3,rdn_pos(rdnn(n5)))
| ~ rdn_translate(X2,rdn_pos(rdnn(X5)))
| ~ rdn_translate(X1,rdn_pos(rdnn(X4))) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,plain,
rdn_digit_add(rdnn(n2),rdnn(n3),rdnn(n5),rdnn(n0)),
inference(split_conjunct,[status(thm)],[rdn_digit_add_n2_n3_n5_n0]) ).
fof(c_0_17,negated_conjecture,
~ ! [X1] :
( sum(X1,n3,n5)
=> X1 = n2 ),
inference(assume_negation,[status(cth)],[sum_only_n2_n3_n5]) ).
cnf(c_0_18,plain,
( sum(X1,X2,X3)
| ~ rdn_translate(X3,rdn_pos(rdnn(n5)))
| ~ rdn_translate(X2,rdn_pos(rdnn(n3)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n2))) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
rdn_translate(n5,rdn_pos(rdnn(n5))),
inference(split_conjunct,[status(thm)],[rdn5]) ).
fof(c_0_20,plain,
! [X70,X71,X72,X73] :
( ~ sum(X70,X72,X73)
| ~ sum(X71,X72,X73)
| X70 = X71 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unique_LHS])]) ).
fof(c_0_21,negated_conjecture,
( sum(esk1_0,n3,n5)
& esk1_0 != n2 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
cnf(c_0_22,plain,
( sum(X1,X2,n5)
| ~ rdn_translate(X2,rdn_pos(rdnn(n3)))
| ~ rdn_translate(X1,rdn_pos(rdnn(n2))) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
rdn_translate(n3,rdn_pos(rdnn(n3))),
inference(split_conjunct,[status(thm)],[rdn3]) ).
cnf(c_0_24,plain,
( X1 = X4
| ~ sum(X1,X2,X3)
| ~ sum(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,negated_conjecture,
sum(esk1_0,n3,n5),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
( sum(X1,n3,n5)
| ~ rdn_translate(X1,rdn_pos(rdnn(n2))) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(split_conjunct,[status(thm)],[rdn2]) ).
cnf(c_0_28,negated_conjecture,
( X1 = esk1_0
| ~ sum(X1,n3,n5) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
sum(n2,n3,n5),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
esk1_0 != n2,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM312+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.12 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n004.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Oct 2 13:18:45 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.45 Running first-order model finding
% 0.16/0.45 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.mkbxSQCjqU/E---3.1_1886.p
% 0.16/0.53 # Version: 3.1pre001
% 0.16/0.53 # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.16/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.53 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.16/0.53 # Starting new_bool_3 with 600s (2) cores
% 0.16/0.53 # Starting new_bool_1 with 600s (2) cores
% 0.16/0.53 # Starting sh5l with 300s (1) cores
% 0.16/0.53 # new_bool_1 with pid 1974 completed with status 0
% 0.16/0.53 # Result found by new_bool_1
% 0.16/0.53 # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.16/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.53 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.16/0.53 # Starting new_bool_3 with 600s (2) cores
% 0.16/0.53 # Starting new_bool_1 with 600s (2) cores
% 0.16/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.53 # Search class: FHUSF-FFMM21-SFFFFFNN
% 0.16/0.53 # partial match(1): FHUNF-FFMM21-SFFFFFNN
% 0.16/0.53 # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.16/0.53 # Starting SAT001_MinMin_p005000_rr_RG with 361s (1) cores
% 0.16/0.53 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 61s (1) cores
% 0.16/0.53 # SAT001_MinMin_p005000_rr_RG with pid 1979 completed with status 0
% 0.16/0.53 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.53 # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.16/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.53 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.16/0.53 # Starting new_bool_3 with 600s (2) cores
% 0.16/0.53 # Starting new_bool_1 with 600s (2) cores
% 0.16/0.53 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.53 # Search class: FHUSF-FFMM21-SFFFFFNN
% 0.16/0.53 # partial match(1): FHUNF-FFMM21-SFFFFFNN
% 0.16/0.53 # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.16/0.53 # Starting SAT001_MinMin_p005000_rr_RG with 361s (1) cores
% 0.16/0.53 # Preprocessing time : 0.002 s
% 0.16/0.53 # Presaturation interreduction done
% 0.16/0.53
% 0.16/0.53 # Proof found!
% 0.16/0.53 # SZS status Theorem
% 0.16/0.53 # SZS output start CNFRefutation
% See solution above
% 0.16/0.53 # Parsed axioms : 402
% 0.16/0.53 # Removed by relevancy pruning/SinE : 262
% 0.16/0.53 # Initial clauses : 141
% 0.16/0.53 # Removed in clause preprocessing : 0
% 0.16/0.53 # Initial clauses in saturation : 141
% 0.16/0.53 # Processed clauses : 854
% 0.16/0.53 # ...of these trivial : 0
% 0.16/0.53 # ...subsumed : 120
% 0.16/0.53 # ...remaining for further processing : 734
% 0.16/0.53 # Other redundant clauses eliminated : 0
% 0.16/0.53 # Clauses deleted for lack of memory : 0
% 0.16/0.53 # Backward-subsumed : 0
% 0.16/0.53 # Backward-rewritten : 0
% 0.16/0.53 # Generated clauses : 821
% 0.16/0.53 # ...of the previous two non-redundant : 820
% 0.16/0.53 # ...aggressively subsumed : 0
% 0.16/0.53 # Contextual simplify-reflections : 0
% 0.16/0.53 # Paramodulations : 821
% 0.16/0.53 # Factorizations : 0
% 0.16/0.53 # NegExts : 0
% 0.16/0.53 # Equation resolutions : 0
% 0.16/0.53 # Total rewrite steps : 0
% 0.16/0.53 # Propositional unsat checks : 0
% 0.16/0.53 # Propositional check models : 0
% 0.16/0.53 # Propositional check unsatisfiable : 0
% 0.16/0.53 # Propositional clauses : 0
% 0.16/0.53 # Propositional clauses after purity: 0
% 0.16/0.53 # Propositional unsat core size : 0
% 0.16/0.53 # Propositional preprocessing time : 0.000
% 0.16/0.53 # Propositional encoding time : 0.000
% 0.16/0.53 # Propositional solver time : 0.000
% 0.16/0.53 # Success case prop preproc time : 0.000
% 0.16/0.53 # Success case prop encoding time : 0.000
% 0.16/0.53 # Success case prop solver time : 0.000
% 0.16/0.53 # Current number of processed clauses : 593
% 0.16/0.53 # Positive orientable unit clauses : 159
% 0.16/0.53 # Positive unorientable unit clauses: 0
% 0.16/0.53 # Negative unit clauses : 1
% 0.16/0.53 # Non-unit-clauses : 433
% 0.16/0.53 # Current number of unprocessed clauses: 245
% 0.16/0.53 # ...number of literals in the above : 1106
% 0.16/0.53 # Current number of archived formulas : 0
% 0.16/0.53 # Current number of archived clauses : 141
% 0.16/0.53 # Clause-clause subsumption calls (NU) : 41488
% 0.16/0.53 # Rec. Clause-clause subsumption calls : 29157
% 0.16/0.53 # Non-unit clause-clause subsumptions : 120
% 0.16/0.53 # Unit Clause-clause subsumption calls : 56
% 0.16/0.53 # Rewrite failures with RHS unbound : 0
% 0.16/0.53 # BW rewrite match attempts : 0
% 0.16/0.53 # BW rewrite match successes : 0
% 0.16/0.53 # Condensation attempts : 0
% 0.16/0.53 # Condensation successes : 0
% 0.16/0.53 # Termbank termtop insertions : 31353
% 0.16/0.53
% 0.16/0.53 # -------------------------------------------------
% 0.16/0.53 # User time : 0.053 s
% 0.16/0.53 # System time : 0.008 s
% 0.16/0.53 # Total time : 0.061 s
% 0.16/0.53 # Maximum resident set size: 2996 pages
% 0.16/0.53
% 0.16/0.53 # -------------------------------------------------
% 0.16/0.53 # User time : 0.110 s
% 0.16/0.53 # System time : 0.012 s
% 0.16/0.53 # Total time : 0.122 s
% 0.16/0.53 # Maximum resident set size: 2036 pages
% 0.16/0.53 % E---3.1 exiting
%------------------------------------------------------------------------------