TSTP Solution File: NUM841+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM841+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 19:08:38 EDT 2023
% Result : Theorem 0.21s 0.51s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 21 unt; 0 def)
% Number of atoms : 58 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 19 ~; 19 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn; 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('holds(214, 352, 0)',conjecture,
greater(vplus(vd344,vd347),vplus(vd345,vd348)),
file('/export/starexec/sandbox2/tmp/tmp.ISf4K5i08z/E---3.1_11802.p','holds(214, 352, 0)') ).
fof('ass(cond(61, 0), 0)',axiom,
! [X47,X48] : vplus(X48,X47) = vplus(X47,X48),
file('/export/starexec/sandbox2/tmp/tmp.ISf4K5i08z/E---3.1_11802.p','ass(cond(61, 0), 0)') ).
fof('ass(cond(goal(130), 0), 2)',axiom,
! [X30,X31] :
( ~ greater(X30,X31)
| ~ less(X30,X31) ),
file('/export/starexec/sandbox2/tmp/tmp.ISf4K5i08z/E---3.1_11802.p','ass(cond(goal(130), 0), 2)') ).
fof('ass(cond(goal(130), 0), 0)',axiom,
! [X30,X31] :
( X30 = X31
| greater(X30,X31)
| less(X30,X31) ),
file('/export/starexec/sandbox2/tmp/tmp.ISf4K5i08z/E---3.1_11802.p','ass(cond(goal(130), 0), 0)') ).
fof('holds(212, 350, 0)',axiom,
greater(vplus(vd344,vd347),vplus(vd345,vd347)),
file('/export/starexec/sandbox2/tmp/tmp.ISf4K5i08z/E---3.1_11802.p','holds(212, 350, 0)') ).
fof('ass(cond(168, 0), 0)',axiom,
! [X15,X16,X17] :
( ( less(X16,X17)
& less(X15,X16) )
=> less(X15,X17) ),
file('/export/starexec/sandbox2/tmp/tmp.ISf4K5i08z/E---3.1_11802.p','ass(cond(168, 0), 0)') ).
fof('ass(cond(140, 0), 0)',axiom,
! [X28,X29] :
( greater(X28,X29)
=> less(X29,X28) ),
file('/export/starexec/sandbox2/tmp/tmp.ISf4K5i08z/E---3.1_11802.p','ass(cond(140, 0), 0)') ).
fof('holds(213, 351, 1)',axiom,
greater(vplus(vd347,vd345),vplus(vd348,vd345)),
file('/export/starexec/sandbox2/tmp/tmp.ISf4K5i08z/E---3.1_11802.p','holds(213, 351, 1)') ).
fof('holds(213, 351, 0)',axiom,
vplus(vd345,vd347) = vplus(vd347,vd345),
file('/export/starexec/sandbox2/tmp/tmp.ISf4K5i08z/E---3.1_11802.p','holds(213, 351, 0)') ).
fof('holds(213, 351, 2)',axiom,
vplus(vd348,vd345) = vplus(vd345,vd348),
file('/export/starexec/sandbox2/tmp/tmp.ISf4K5i08z/E---3.1_11802.p','holds(213, 351, 2)') ).
fof(c_0_10,negated_conjecture,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(214, 352, 0)'])]) ).
fof(c_0_11,plain,
! [X144,X145] : vplus(X145,X144) = vplus(X144,X145),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
fof(c_0_12,plain,
! [X30,X31] :
( ~ greater(X30,X31)
| ~ less(X30,X31) ),
inference(fof_simplification,[status(thm)],['ass(cond(goal(130), 0), 2)']) ).
cnf(c_0_13,negated_conjecture,
~ greater(vplus(vd344,vd347),vplus(vd345,vd348)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,plain,
! [X105,X106] :
( X105 = X106
| greater(X105,X106)
| less(X105,X106) ),
inference(variable_rename,[status(thm)],['ass(cond(goal(130), 0), 0)']) ).
fof(c_0_16,plain,
! [X109,X110] :
( ~ greater(X109,X110)
| ~ less(X109,X110) ),
inference(variable_rename,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
greater(vplus(vd344,vd347),vplus(vd345,vd347)),
inference(split_conjunct,[status(thm)],['holds(212, 350, 0)']) ).
fof(c_0_18,plain,
! [X90,X91,X92] :
( ~ less(X91,X92)
| ~ less(X90,X91)
| less(X90,X92) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(168, 0), 0)'])]) ).
cnf(c_0_19,negated_conjecture,
~ greater(vplus(vd347,vd344),vplus(vd345,vd348)),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
( X1 = X2
| greater(X1,X2)
| less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_21,plain,
! [X103,X104] :
( ~ greater(X103,X104)
| less(X104,X103) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(140, 0), 0)'])]) ).
cnf(c_0_22,plain,
greater(vplus(vd347,vd345),vplus(vd348,vd345)),
inference(split_conjunct,[status(thm)],['holds(213, 351, 1)']) ).
cnf(c_0_23,plain,
vplus(vd345,vd347) = vplus(vd347,vd345),
inference(split_conjunct,[status(thm)],['holds(213, 351, 0)']) ).
cnf(c_0_24,plain,
vplus(vd348,vd345) = vplus(vd345,vd348),
inference(split_conjunct,[status(thm)],['holds(213, 351, 2)']) ).
cnf(c_0_25,plain,
( ~ greater(X1,X2)
| ~ less(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,plain,
greater(vplus(vd347,vd344),vplus(vd345,vd347)),
inference(rw,[status(thm)],[c_0_17,c_0_14]) ).
cnf(c_0_27,plain,
( less(X3,X2)
| ~ less(X1,X2)
| ~ less(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,negated_conjecture,
( vplus(vd347,vd344) = vplus(vd345,vd348)
| less(vplus(vd347,vd344),vplus(vd345,vd348)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_29,plain,
( less(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
greater(vplus(vd345,vd347),vplus(vd345,vd348)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_31,plain,
~ less(vplus(vd347,vd344),vplus(vd345,vd347)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( vplus(vd347,vd344) = vplus(vd345,vd348)
| less(vplus(vd347,vd344),X1)
| ~ less(vplus(vd345,vd348),X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
less(vplus(vd345,vd348),vplus(vd345,vd347)),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
vplus(vd347,vd344) = vplus(vd345,vd348),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_35,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_34]),c_0_33])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM841+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.13/0.36 % Computer : n012.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 2400
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Oct 2 14:51:50 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.48 Running first-order model finding
% 0.21/0.48 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.ISf4K5i08z/E---3.1_11802.p
% 0.21/0.51 # Version: 3.1pre001
% 0.21/0.51 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.51 # Starting sh5l with 300s (1) cores
% 0.21/0.51 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 11883 completed with status 0
% 0.21/0.51 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.51 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.51 # No SInE strategy applied
% 0.21/0.51 # Search class: FGHSM-FFMM21-SFFFFFNN
% 0.21/0.51 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.51 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 811s (1) cores
% 0.21/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.51 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.21/0.51 # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 136s (1) cores
% 0.21/0.51 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 136s (1) cores
% 0.21/0.51 # G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with pid 11891 completed with status 0
% 0.21/0.51 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y
% 0.21/0.51 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.51 # No SInE strategy applied
% 0.21/0.51 # Search class: FGHSM-FFMM21-SFFFFFNN
% 0.21/0.51 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.51 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S0S with 811s (1) cores
% 0.21/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.51 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.21/0.51 # Preprocessing time : 0.002 s
% 0.21/0.51
% 0.21/0.51 # Proof found!
% 0.21/0.51 # SZS status Theorem
% 0.21/0.51 # SZS output start CNFRefutation
% See solution above
% 0.21/0.51 # Parsed axioms : 45
% 0.21/0.51 # Removed by relevancy pruning/SinE : 0
% 0.21/0.51 # Initial clauses : 53
% 0.21/0.51 # Removed in clause preprocessing : 2
% 0.21/0.51 # Initial clauses in saturation : 51
% 0.21/0.51 # Processed clauses : 118
% 0.21/0.51 # ...of these trivial : 6
% 0.21/0.51 # ...subsumed : 28
% 0.21/0.51 # ...remaining for further processing : 84
% 0.21/0.51 # Other redundant clauses eliminated : 39
% 0.21/0.51 # Clauses deleted for lack of memory : 0
% 0.21/0.51 # Backward-subsumed : 4
% 0.21/0.51 # Backward-rewritten : 12
% 0.21/0.51 # Generated clauses : 450
% 0.21/0.51 # ...of the previous two non-redundant : 349
% 0.21/0.51 # ...aggressively subsumed : 0
% 0.21/0.51 # Contextual simplify-reflections : 0
% 0.21/0.51 # Paramodulations : 399
% 0.21/0.51 # Factorizations : 2
% 0.21/0.51 # NegExts : 0
% 0.21/0.51 # Equation resolutions : 49
% 0.21/0.51 # Total rewrite steps : 46
% 0.21/0.51 # Propositional unsat checks : 0
% 0.21/0.51 # Propositional check models : 0
% 0.21/0.51 # Propositional check unsatisfiable : 0
% 0.21/0.51 # Propositional clauses : 0
% 0.21/0.51 # Propositional clauses after purity: 0
% 0.21/0.51 # Propositional unsat core size : 0
% 0.21/0.51 # Propositional preprocessing time : 0.000
% 0.21/0.51 # Propositional encoding time : 0.000
% 0.21/0.51 # Propositional solver time : 0.000
% 0.21/0.51 # Success case prop preproc time : 0.000
% 0.21/0.51 # Success case prop encoding time : 0.000
% 0.21/0.51 # Success case prop solver time : 0.000
% 0.21/0.51 # Current number of processed clauses : 62
% 0.21/0.51 # Positive orientable unit clauses : 14
% 0.21/0.51 # Positive unorientable unit clauses: 1
% 0.21/0.51 # Negative unit clauses : 9
% 0.21/0.51 # Non-unit-clauses : 38
% 0.21/0.51 # Current number of unprocessed clauses: 242
% 0.21/0.51 # ...number of literals in the above : 610
% 0.21/0.51 # Current number of archived formulas : 0
% 0.21/0.51 # Current number of archived clauses : 17
% 0.21/0.51 # Clause-clause subsumption calls (NU) : 111
% 0.21/0.51 # Rec. Clause-clause subsumption calls : 109
% 0.21/0.51 # Non-unit clause-clause subsumptions : 12
% 0.21/0.51 # Unit Clause-clause subsumption calls : 94
% 0.21/0.51 # Rewrite failures with RHS unbound : 0
% 0.21/0.51 # BW rewrite match attempts : 52
% 0.21/0.51 # BW rewrite match successes : 27
% 0.21/0.51 # Condensation attempts : 0
% 0.21/0.51 # Condensation successes : 0
% 0.21/0.51 # Termbank termtop insertions : 4617
% 0.21/0.51
% 0.21/0.51 # -------------------------------------------------
% 0.21/0.51 # User time : 0.014 s
% 0.21/0.51 # System time : 0.002 s
% 0.21/0.51 # Total time : 0.016 s
% 0.21/0.51 # Maximum resident set size: 1916 pages
% 0.21/0.51
% 0.21/0.51 # -------------------------------------------------
% 0.21/0.51 # User time : 0.059 s
% 0.21/0.51 # System time : 0.012 s
% 0.21/0.51 # Total time : 0.072 s
% 0.21/0.51 # Maximum resident set size: 1752 pages
% 0.21/0.51 % E---3.1 exiting
%------------------------------------------------------------------------------