TSTP Solution File: NUM850+1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM850+1 : TPTP v8.1.2. Released v4.1.0.
% 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 18:57:46 EDT 2023
% Result : Theorem 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 22 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 5 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 1 sgn; 12 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof('qe(conseq_conjunct1(conseq(302)))',conjecture,
? [X1] : vd470 = vplus(vd471,X1),
file('/export/starexec/sandbox/tmp/tmp.91PRHQaXPw/E---3.1_16290.p','qe(conseq_conjunct1(conseq(302)))') ).
fof('def(cond(conseq(axiom(3)), 12), 1)',axiom,
! [X63,X64] :
( less(X64,X63)
<=> ? [X65] : X63 = vplus(X64,X65) ),
file('/export/starexec/sandbox/tmp/tmp.91PRHQaXPw/E---3.1_16290.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof('ass(cond(140, 0), 0)',axiom,
! [X59,X60] :
( greater(X59,X60)
=> less(X60,X59) ),
file('/export/starexec/sandbox/tmp/tmp.91PRHQaXPw/E---3.1_16290.p','ass(cond(140, 0), 0)') ).
fof('holds(antec(302), 472, 0)',axiom,
greater(vd470,vd471),
file('/export/starexec/sandbox/tmp/tmp.91PRHQaXPw/E---3.1_16290.p','holds(antec(302), 472, 0)') ).
fof(c_0_4,negated_conjecture,
~ ? [X1] : vd470 = vplus(vd471,X1),
inference(assume_negation,[status(cth)],['qe(conseq_conjunct1(conseq(302)))']) ).
fof(c_0_5,negated_conjecture,
! [X95] : vd470 != vplus(vd471,X95),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).
fof(c_0_6,plain,
! [X165,X166,X168,X169,X170] :
( ( ~ less(X166,X165)
| X165 = vplus(X166,esk4_2(X165,X166)) )
& ( X168 != vplus(X169,X170)
| less(X169,X168) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['def(cond(conseq(axiom(3)), 12), 1)'])])])])]) ).
cnf(c_0_7,negated_conjecture,
vd470 != vplus(vd471,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( X2 = vplus(X1,esk4_2(X2,X1))
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X140,X141] :
( ~ greater(X140,X141)
| less(X141,X140) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(140, 0), 0)'])]) ).
cnf(c_0_10,negated_conjecture,
~ less(vd471,vd470),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8])]) ).
cnf(c_0_11,plain,
( less(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
greater(vd470,vd471),
inference(split_conjunct,[status(thm)],['holds(antec(302), 472, 0)']) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM850+1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n015.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % 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 13:48:46 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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.91PRHQaXPw/E---3.1_16290.p
% 0.17/0.46 # Version: 3.1pre001
% 0.17/0.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46 # Starting sh5l with 300s (1) cores
% 0.17/0.46 # new_bool_1 with pid 16370 completed with status 0
% 0.17/0.46 # Result found by new_bool_1
% 0.17/0.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.46 # Search class: FGHSS-FFMF22-SFFFFFNN
% 0.17/0.46 # partial match(1): FGHSS-FFMF32-SFFFFFNN
% 0.17/0.46 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 114s (1) cores
% 0.17/0.46 # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 16373 completed with status 0
% 0.17/0.46 # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.46 # Search class: FGHSS-FFMF22-SFFFFFNN
% 0.17/0.46 # partial match(1): FGHSS-FFMF32-SFFFFFNN
% 0.17/0.46 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 114s (1) cores
% 0.17/0.46 # Preprocessing time : 0.001 s
% 0.17/0.46 # Presaturation interreduction done
% 0.17/0.46
% 0.17/0.46 # Proof found!
% 0.17/0.46 # SZS status Theorem
% 0.17/0.46 # SZS output start CNFRefutation
% See solution above
% 0.17/0.46 # Parsed axioms : 52
% 0.17/0.46 # Removed by relevancy pruning/SinE : 25
% 0.17/0.46 # Initial clauses : 29
% 0.17/0.46 # Removed in clause preprocessing : 1
% 0.17/0.46 # Initial clauses in saturation : 28
% 0.17/0.46 # Processed clauses : 130
% 0.17/0.46 # ...of these trivial : 2
% 0.17/0.46 # ...subsumed : 53
% 0.17/0.46 # ...remaining for further processing : 75
% 0.17/0.46 # Other redundant clauses eliminated : 13
% 0.17/0.46 # Clauses deleted for lack of memory : 0
% 0.17/0.46 # Backward-subsumed : 0
% 0.17/0.46 # Backward-rewritten : 1
% 0.17/0.46 # Generated clauses : 225
% 0.17/0.46 # ...of the previous two non-redundant : 202
% 0.17/0.46 # ...aggressively subsumed : 0
% 0.17/0.46 # Contextual simplify-reflections : 0
% 0.17/0.46 # Paramodulations : 209
% 0.17/0.46 # Factorizations : 0
% 0.17/0.46 # NegExts : 0
% 0.17/0.46 # Equation resolutions : 16
% 0.17/0.46 # Total rewrite steps : 79
% 0.17/0.46 # Propositional unsat checks : 0
% 0.17/0.46 # Propositional check models : 0
% 0.17/0.46 # Propositional check unsatisfiable : 0
% 0.17/0.46 # Propositional clauses : 0
% 0.17/0.46 # Propositional clauses after purity: 0
% 0.17/0.46 # Propositional unsat core size : 0
% 0.17/0.46 # Propositional preprocessing time : 0.000
% 0.17/0.46 # Propositional encoding time : 0.000
% 0.17/0.46 # Propositional solver time : 0.000
% 0.17/0.46 # Success case prop preproc time : 0.000
% 0.17/0.46 # Success case prop encoding time : 0.000
% 0.17/0.46 # Success case prop solver time : 0.000
% 0.17/0.46 # Current number of processed clauses : 42
% 0.17/0.46 # Positive orientable unit clauses : 7
% 0.17/0.46 # Positive unorientable unit clauses: 1
% 0.17/0.46 # Negative unit clauses : 23
% 0.17/0.46 # Non-unit-clauses : 11
% 0.17/0.46 # Current number of unprocessed clauses: 125
% 0.17/0.46 # ...number of literals in the above : 198
% 0.17/0.46 # Current number of archived formulas : 0
% 0.17/0.46 # Current number of archived clauses : 26
% 0.17/0.46 # Clause-clause subsumption calls (NU) : 35
% 0.17/0.46 # Rec. Clause-clause subsumption calls : 35
% 0.17/0.46 # Non-unit clause-clause subsumptions : 1
% 0.17/0.46 # Unit Clause-clause subsumption calls : 31
% 0.17/0.46 # Rewrite failures with RHS unbound : 0
% 0.17/0.46 # BW rewrite match attempts : 11
% 0.17/0.46 # BW rewrite match successes : 9
% 0.17/0.46 # Condensation attempts : 0
% 0.17/0.46 # Condensation successes : 0
% 0.17/0.46 # Termbank termtop insertions : 2901
% 0.17/0.46
% 0.17/0.46 # -------------------------------------------------
% 0.17/0.46 # User time : 0.006 s
% 0.17/0.46 # System time : 0.002 s
% 0.17/0.46 # Total time : 0.008 s
% 0.17/0.46 # Maximum resident set size: 1916 pages
% 0.17/0.46
% 0.17/0.46 # -------------------------------------------------
% 0.17/0.46 # User time : 0.007 s
% 0.17/0.46 # System time : 0.005 s
% 0.17/0.46 # Total time : 0.012 s
% 0.17/0.46 # Maximum resident set size: 1776 pages
% 0.17/0.46 % E---3.1 exiting
% 0.17/0.46 % E---3.1 exiting
%------------------------------------------------------------------------------