TSTP Solution File: NUM848+2 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM848+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.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 0.44s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 10 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 0 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn; 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('holds(286, 441, 4)',conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) = vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
file('/export/starexec/sandbox2/tmp/tmp.SKEtuk0cGV/E---3.1_11636.p','holds(286, 441, 4)') ).
fof('ass(cond(61, 0), 0)',axiom,
! [X5,X6] : vplus(X6,X5) = vplus(X5,X6),
file('/export/starexec/sandbox2/tmp/tmp.SKEtuk0cGV/E---3.1_11636.p','ass(cond(61, 0), 0)') ).
fof('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))',axiom,
! [X1,X2] :
( vmul(X1,vsucc(X2)) = vplus(vmul(X1,X2),X1)
& vmul(X1,v1) = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.SKEtuk0cGV/E---3.1_11636.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof(c_0_3,negated_conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['holds(286, 441, 4)'])]) ).
fof(c_0_4,plain,
! [X16,X17] : vplus(X17,X16) = vplus(X16,X17),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
fof(c_0_5,plain,
! [X21,X22] :
( vmul(X21,vsucc(X22)) = vplus(vmul(X21,X22),X21)
& vmul(X21,v1) = X21 ),
inference(variable_rename,[status(thm)],['qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))']) ).
cnf(c_0_6,negated_conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
vmul(X1,vsucc(X2)) = vplus(vmul(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
vplus(vmul(vd436,vd437),vplus(vd436,vmul(vd436,vd439))) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
vplus(X1,vmul(X1,X2)) = vmul(X1,vsucc(X2)),
inference(rw,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM848+2 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n020.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 14:08:31 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.SKEtuk0cGV/E---3.1_11636.p
% 0.17/0.44 # Version: 3.1pre001
% 0.17/0.44 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.44 # Starting sh5l with 300s (1) cores
% 0.17/0.44 # new_bool_3 with pid 11757 completed with status 0
% 0.17/0.44 # Result found by new_bool_3
% 0.17/0.44 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.44 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.44 # Search class: FUUPM-FFSM21-MFFFFFNN
% 0.17/0.44 # partial match(1): FUUPM-FFSF21-MFFFFFNN
% 0.17/0.44 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.44 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 0.17/0.44 # H----_047_C09_12_F1_AE_ND_CS_SP_S2S with pid 11761 completed with status 0
% 0.17/0.44 # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S2S
% 0.17/0.44 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.44 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.44 # Search class: FUUPM-FFSM21-MFFFFFNN
% 0.17/0.44 # partial match(1): FUUPM-FFSF21-MFFFFFNN
% 0.17/0.44 # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.44 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 0.17/0.44 # Preprocessing time : 0.001 s
% 0.17/0.44 # Presaturation interreduction done
% 0.17/0.44
% 0.17/0.44 # Proof found!
% 0.17/0.44 # SZS status Theorem
% 0.17/0.44 # SZS output start CNFRefutation
% See solution above
% 0.17/0.44 # Parsed axioms : 16
% 0.17/0.44 # Removed by relevancy pruning/SinE : 2
% 0.17/0.44 # Initial clauses : 16
% 0.17/0.44 # Removed in clause preprocessing : 0
% 0.17/0.44 # Initial clauses in saturation : 16
% 0.17/0.44 # Processed clauses : 10
% 0.17/0.44 # ...of these trivial : 0
% 0.17/0.44 # ...subsumed : 0
% 0.17/0.44 # ...remaining for further processing : 10
% 0.17/0.44 # Other redundant clauses eliminated : 0
% 0.17/0.44 # Clauses deleted for lack of memory : 0
% 0.17/0.44 # Backward-subsumed : 0
% 0.17/0.44 # Backward-rewritten : 3
% 0.17/0.44 # Generated clauses : 0
% 0.17/0.44 # ...of the previous two non-redundant : 1
% 0.17/0.44 # ...aggressively subsumed : 0
% 0.17/0.44 # Contextual simplify-reflections : 0
% 0.17/0.44 # Paramodulations : 0
% 0.17/0.44 # Factorizations : 0
% 0.17/0.44 # NegExts : 0
% 0.17/0.44 # Equation resolutions : 0
% 0.17/0.44 # Total rewrite steps : 6
% 0.17/0.44 # Propositional unsat checks : 0
% 0.17/0.44 # Propositional check models : 0
% 0.17/0.44 # Propositional check unsatisfiable : 0
% 0.17/0.44 # Propositional clauses : 0
% 0.17/0.44 # Propositional clauses after purity: 0
% 0.17/0.44 # Propositional unsat core size : 0
% 0.17/0.44 # Propositional preprocessing time : 0.000
% 0.17/0.44 # Propositional encoding time : 0.000
% 0.17/0.44 # Propositional solver time : 0.000
% 0.17/0.44 # Success case prop preproc time : 0.000
% 0.17/0.44 # Success case prop encoding time : 0.000
% 0.17/0.44 # Success case prop solver time : 0.000
% 0.17/0.44 # Current number of processed clauses : 7
% 0.17/0.44 # Positive orientable unit clauses : 6
% 0.17/0.44 # Positive unorientable unit clauses: 1
% 0.17/0.44 # Negative unit clauses : 0
% 0.17/0.44 # Non-unit-clauses : 0
% 0.17/0.44 # Current number of unprocessed clauses: 7
% 0.17/0.44 # ...number of literals in the above : 7
% 0.17/0.44 # Current number of archived formulas : 0
% 0.17/0.44 # Current number of archived clauses : 3
% 0.17/0.44 # Clause-clause subsumption calls (NU) : 0
% 0.17/0.44 # Rec. Clause-clause subsumption calls : 0
% 0.17/0.44 # Non-unit clause-clause subsumptions : 0
% 0.17/0.44 # Unit Clause-clause subsumption calls : 0
% 0.17/0.44 # Rewrite failures with RHS unbound : 0
% 0.17/0.44 # BW rewrite match attempts : 13
% 0.17/0.44 # BW rewrite match successes : 12
% 0.17/0.44 # Condensation attempts : 0
% 0.17/0.44 # Condensation successes : 0
% 0.17/0.44 # Termbank termtop insertions : 745
% 0.17/0.44
% 0.17/0.44 # -------------------------------------------------
% 0.17/0.44 # User time : 0.002 s
% 0.17/0.44 # System time : 0.002 s
% 0.17/0.44 # Total time : 0.004 s
% 0.17/0.44 # Maximum resident set size: 1772 pages
% 0.17/0.44
% 0.17/0.44 # -------------------------------------------------
% 0.17/0.44 # User time : 0.002 s
% 0.17/0.44 # System time : 0.005 s
% 0.17/0.44 # Total time : 0.006 s
% 0.17/0.44 # Maximum resident set size: 1700 pages
% 0.17/0.44 % E---3.1 exiting
% 0.17/0.44 % E---3.1 exiting
%------------------------------------------------------------------------------