TSTP Solution File: NUM839+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM839+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n014.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 : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 09:37:01 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 15 unt; 0 def)
% Number of atoms : 61 ( 11 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 22 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('ass(cond(goal(130), 0), 2)',axiom,
! [X27,X28] :
( ~ greater(X27,X28)
| ~ less(X27,X28) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(goal(130), 0), 2)') ).
fof('ass(cond(140, 0), 0)',axiom,
! [X25,X26] :
( greater(X25,X26)
=> less(X26,X25) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(140, 0), 0)') ).
fof('ass(cond(61, 0), 0)',axiom,
! [X44,X45] : vplus(X45,X44) = vplus(X44,X45),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(61, 0), 0)') ).
fof('holds(antec(204), 331, 0)',axiom,
greater(vplus(vd328,vd330),vplus(vd329,vd330)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(antec(204), 331, 0)') ).
fof('ass(cond(goal(193), 0), 2)',axiom,
! [X1,X2,X3] :
( greater(X1,X2)
=> greater(vplus(X1,X3),vplus(X2,X3)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(goal(193), 0), 2)') ).
fof('ass(cond(147, 0), 0)',axiom,
! [X23,X24] :
( less(X23,X24)
=> greater(X24,X23) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(147, 0), 0)') ).
fof('ass(cond(goal(130), 0), 0)',axiom,
! [X27,X28] :
( X27 = X28
| greater(X27,X28)
| less(X27,X28) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(goal(130), 0), 0)') ).
fof('holds(conseq(204), 332, 0)',conjecture,
greater(vd328,vd329),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(conseq(204), 332, 0)') ).
fof('ass(cond(goal(130), 0), 3)',axiom,
! [X27,X28] :
( X27 != X28
| ~ greater(X27,X28) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(goal(130), 0), 3)') ).
fof(c_0_9,plain,
! [X29,X30] :
( ~ greater(X29,X30)
| ~ less(X29,X30) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 2)'])]) ).
fof(c_0_10,plain,
! [X27,X28] :
( ~ greater(X27,X28)
| less(X28,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(140, 0), 0)'])]) ).
fof(c_0_11,plain,
! [X46,X47] : vplus(X47,X46) = vplus(X46,X47),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
cnf(c_0_12,plain,
( ~ less(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( less(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
greater(vplus(vd328,vd330),vplus(vd329,vd330)),
inference(split_conjunct,[status(thm)],['holds(antec(204), 331, 0)']) ).
cnf(c_0_15,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X4,X5,X6] :
( ~ greater(X4,X5)
| greater(vplus(X4,X6),vplus(X5,X6)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(goal(193), 0), 2)'])])])]) ).
cnf(c_0_17,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
greater(vplus(vd328,vd330),vplus(vd330,vd329)),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
( greater(vplus(X1,X2),vplus(X3,X2))
| ~ greater(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_20,plain,
! [X25,X26] :
( ~ less(X25,X26)
| greater(X26,X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(147, 0), 0)'])]) ).
fof(c_0_21,plain,
! [X29,X30] :
( X29 = X30
| greater(X29,X30)
| less(X29,X30) ),
inference(variable_rename,[status(thm)],['ass(cond(goal(130), 0), 0)']) ).
fof(c_0_22,negated_conjecture,
~ greater(vd328,vd329),
inference(assume_negation,[status(cth)],['holds(conseq(204), 332, 0)']) ).
cnf(c_0_23,plain,
~ greater(vplus(vd330,vd329),vplus(vd328,vd330)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( greater(vplus(X1,X2),vplus(X3,X1))
| ~ greater(X2,X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
cnf(c_0_25,plain,
( greater(X1,X2)
| ~ less(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
( less(X1,X2)
| greater(X1,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_27,negated_conjecture,
~ greater(vd328,vd329),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_28,plain,
! [X29,X30] :
( X29 != X30
| ~ greater(X29,X30) ),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 3)'])]) ).
cnf(c_0_29,plain,
~ greater(vd329,vd328),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
( X1 = X2
| greater(X1,X2)
| greater(X2,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
~ greater(vd328,vd329),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,plain,
( ~ greater(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
vd329 = vd328,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_34,plain,
~ greater(X1,X1),
inference(er,[status(thm)],[c_0_32]) ).
cnf(c_0_35,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_33]),c_0_15]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM839+2 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jul 7 10:02:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.22/1.40 # Preprocessing time : 0.016 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 36
% 0.22/1.40 # Proof object clause steps : 18
% 0.22/1.40 # Proof object formula steps : 18
% 0.22/1.40 # Proof object conjectures : 4
% 0.22/1.40 # Proof object clause conjectures : 1
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 9
% 0.22/1.40 # Proof object initial formulas used : 9
% 0.22/1.40 # Proof object generating inferences : 6
% 0.22/1.40 # Proof object simplifying inferences : 6
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 35
% 0.22/1.40 # Removed by relevancy pruning/SinE : 0
% 0.22/1.40 # Initial clauses : 43
% 0.22/1.40 # Removed in clause preprocessing : 2
% 0.22/1.40 # Initial clauses in saturation : 41
% 0.22/1.40 # Processed clauses : 243
% 0.22/1.40 # ...of these trivial : 14
% 0.22/1.40 # ...subsumed : 106
% 0.22/1.40 # ...remaining for further processing : 123
% 0.22/1.40 # Other redundant clauses eliminated : 88
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 1
% 0.22/1.40 # Backward-rewritten : 14
% 0.22/1.40 # Generated clauses : 1576
% 0.22/1.40 # ...of the previous two non-trivial : 1412
% 0.22/1.40 # Contextual simplify-reflections : 9
% 0.22/1.40 # Paramodulations : 1467
% 0.22/1.40 # Factorizations : 2
% 0.22/1.40 # Equation resolutions : 107
% 0.22/1.40 # Current number of processed clauses : 102
% 0.22/1.40 # Positive orientable unit clauses : 18
% 0.22/1.40 # Positive unorientable unit clauses: 3
% 0.22/1.40 # Negative unit clauses : 9
% 0.22/1.40 # Non-unit-clauses : 72
% 0.22/1.40 # Current number of unprocessed clauses: 1133
% 0.22/1.40 # ...number of literals in the above : 2607
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 16
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 880
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 714
% 0.22/1.40 # Non-unit clause-clause subsumptions : 70
% 0.22/1.40 # Unit Clause-clause subsumption calls : 160
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 38
% 0.22/1.40 # BW rewrite match successes : 19
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 12049
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.033 s
% 0.22/1.40 # System time : 0.005 s
% 0.22/1.40 # Total time : 0.038 s
% 0.22/1.40 # Maximum resident set size: 3888 pages
% 0.22/23.39 eprover: CPU time limit exceeded, terminating
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.41 eprover: No such file or directory
% 0.22/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.41 eprover: No such file or directory
% 0.22/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.41 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------