TSTP Solution File: NUM848+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM848+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% 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 : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 09:37:07 EDT 2022
% Result : Theorem 0.23s 1.43s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 16 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 0 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 32 ( 2 sgn 20 !; 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/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(286, 441, 4)') ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
! [X13,X14] :
( vplus(X13,vsucc(X14)) = vsucc(vplus(X13,X14))
& vplus(X13,v1) = vsucc(X13) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof('ass(cond(61, 0), 0)',axiom,
! [X5,X6] : vplus(X6,X5) = vplus(X5,X6),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(61, 0), 0)') ).
fof('ass(cond(33, 0), 0)',axiom,
! [X10,X11,X12] : vplus(vplus(X10,X11),X12) = vplus(X10,vplus(X11,X12)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(33, 0), 0)') ).
fof(c_0_5,negated_conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(assume_negation,[status(cth)],['holds(286, 441, 4)']) ).
fof(c_0_6,plain,
! [X3,X4,X3] :
( vmul(X3,vsucc(X4)) = vplus(vmul(X3,X4),X3)
& vmul(X3,v1) = X3 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],['qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))'])])]) ).
fof(c_0_7,plain,
! [X15,X16,X15] :
( vplus(X15,vsucc(X16)) = vsucc(vplus(X15,X16))
& vplus(X15,v1) = vsucc(X15) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],['qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))'])])]) ).
fof(c_0_8,negated_conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vsucc(vd439))),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
vmul(X1,vsucc(X2)) = vplus(vmul(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
vplus(X1,v1) = vsucc(X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,plain,
! [X7,X8] : vplus(X8,X7) = vplus(X7,X8),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
cnf(c_0_12,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_8]) ).
cnf(c_0_13,plain,
vmul(X1,vplus(X2,v1)) = vplus(vmul(X1,X2),X1),
inference(rw,[status(thm)],[c_0_9,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,
! [X13,X14,X15] : vplus(vplus(X13,X14),X15) = vplus(X13,vplus(X14,X15)),
inference(variable_rename,[status(thm)],['ass(cond(33, 0), 0)']) ).
cnf(c_0_16,negated_conjecture,
vplus(vmul(vd436,vd437),vplus(vmul(vd436,vd439),vd436)) != vplus(vmul(vd436,vd437),vmul(vd436,vplus(vd439,v1))),
inference(rw,[status(thm)],[c_0_12,c_0_10]) ).
cnf(c_0_17,plain,
vmul(X1,vplus(X2,v1)) = vplus(X1,vmul(X1,X2)),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,plain,
vplus(vplus(X1,X2),X3) = vplus(X1,vplus(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_14]),c_0_14]),c_0_17]),c_0_14]),c_0_18]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM848+2 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jul 6 14:51:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.23/1.43 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.43 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.43 # Preprocessing time : 0.014 s
% 0.23/1.43
% 0.23/1.43 # Proof found!
% 0.23/1.43 # SZS status Theorem
% 0.23/1.43 # SZS output start CNFRefutation
% See solution above
% 0.23/1.43 # Proof object total steps : 20
% 0.23/1.43 # Proof object clause steps : 9
% 0.23/1.43 # Proof object formula steps : 11
% 0.23/1.43 # Proof object conjectures : 6
% 0.23/1.43 # Proof object clause conjectures : 3
% 0.23/1.43 # Proof object formula conjectures : 3
% 0.23/1.43 # Proof object initial clauses used : 5
% 0.23/1.43 # Proof object initial formulas used : 5
% 0.23/1.43 # Proof object generating inferences : 0
% 0.23/1.43 # Proof object simplifying inferences : 10
% 0.23/1.43 # Training examples: 0 positive, 0 negative
% 0.23/1.43 # Parsed axioms : 16
% 0.23/1.43 # Removed by relevancy pruning/SinE : 2
% 0.23/1.43 # Initial clauses : 16
% 0.23/1.43 # Removed in clause preprocessing : 1
% 0.23/1.43 # Initial clauses in saturation : 15
% 0.23/1.43 # Processed clauses : 16
% 0.23/1.43 # ...of these trivial : 5
% 0.23/1.43 # ...subsumed : 0
% 0.23/1.43 # ...remaining for further processing : 10
% 0.23/1.43 # Other redundant clauses eliminated : 0
% 0.23/1.43 # Clauses deleted for lack of memory : 0
% 0.23/1.43 # Backward-subsumed : 1
% 0.23/1.43 # Backward-rewritten : 2
% 0.23/1.43 # Generated clauses : 8
% 0.23/1.43 # ...of the previous two non-trivial : 9
% 0.23/1.43 # Contextual simplify-reflections : 0
% 0.23/1.43 # Paramodulations : 8
% 0.23/1.43 # Factorizations : 0
% 0.23/1.43 # Equation resolutions : 0
% 0.23/1.43 # Current number of processed clauses : 7
% 0.23/1.43 # Positive orientable unit clauses : 6
% 0.23/1.43 # Positive unorientable unit clauses: 1
% 0.23/1.43 # Negative unit clauses : 0
% 0.23/1.43 # Non-unit-clauses : 0
% 0.23/1.43 # Current number of unprocessed clauses: 8
% 0.23/1.43 # ...number of literals in the above : 8
% 0.23/1.43 # Current number of archived formulas : 0
% 0.23/1.43 # Current number of archived clauses : 4
% 0.23/1.43 # Clause-clause subsumption calls (NU) : 0
% 0.23/1.43 # Rec. Clause-clause subsumption calls : 0
% 0.23/1.43 # Non-unit clause-clause subsumptions : 0
% 0.23/1.43 # Unit Clause-clause subsumption calls : 1
% 0.23/1.43 # Rewrite failures with RHS unbound : 0
% 0.23/1.43 # BW rewrite match attempts : 21
% 0.23/1.43 # BW rewrite match successes : 21
% 0.23/1.43 # Condensation attempts : 0
% 0.23/1.43 # Condensation successes : 0
% 0.23/1.43 # Termbank termtop insertions : 971
% 0.23/1.43
% 0.23/1.43 # -------------------------------------------------
% 0.23/1.43 # User time : 0.014 s
% 0.23/1.43 # System time : 0.001 s
% 0.23/1.43 # Total time : 0.015 s
% 0.23/1.43 # Maximum resident set size: 2788 pages
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------