TSTP Solution File: NUM852+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM852+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n016.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 09:37:10 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 16 unt; 0 def)
% Number of atoms : 28 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 1 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('ass(cond(302, 0), 2)',axiom,
! [X3,X4] :
( greater(X3,X4)
=> vmul(X3,vd469) = vmul(vplus(X4,vskolem9(X3,X4)),vd469) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(302, 0), 2)') ).
fof('ass(cond(270, 0), 0)',axiom,
! [X11,X12] : vmul(X11,X12) = vmul(X12,X11),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(270, 0), 0)') ).
fof('ass(cond(281, 0), 0)',axiom,
! [X8,X9,X10] : vmul(X8,vplus(X9,X10)) = vplus(vmul(X8,X9),vmul(X8,X10)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(281, 0), 0)') ).
fof('ass(cond(189, 0), 0)',axiom,
! [X41,X42] : greater(vplus(X41,X42),X41),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(189, 0), 0)') ).
fof('holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)',conjecture,
greater(vmul(vd481,vd469),vmul(vd480,vd469)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)') ).
fof('holds(conseq_conjunct1(conseq(304)), 483, 0)',axiom,
greater(vd481,vd480),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(conseq_conjunct1(conseq(304)), 483, 0)') ).
fof(c_0_6,plain,
! [X5,X6] :
( ~ greater(X5,X6)
| vmul(X5,vd469) = vmul(vplus(X6,vskolem9(X5,X6)),vd469) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(302, 0), 2)'])]) ).
fof(c_0_7,plain,
! [X13,X14] : vmul(X13,X14) = vmul(X14,X13),
inference(variable_rename,[status(thm)],['ass(cond(270, 0), 0)']) ).
fof(c_0_8,plain,
! [X11,X12,X13] : vmul(X11,vplus(X12,X13)) = vplus(vmul(X11,X12),vmul(X11,X13)),
inference(variable_rename,[status(thm)],['ass(cond(281, 0), 0)']) ).
fof(c_0_9,plain,
! [X43,X44] : greater(vplus(X43,X44),X43),
inference(variable_rename,[status(thm)],['ass(cond(189, 0), 0)']) ).
cnf(c_0_10,plain,
( vmul(X1,vd469) = vmul(vplus(X2,vskolem9(X1,X2)),vd469)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
vmul(X1,X2) = vmul(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
vmul(X1,vplus(X2,X3)) = vplus(vmul(X1,X2),vmul(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,negated_conjecture,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(assume_negation,[status(cth)],['holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)']) ).
cnf(c_0_14,plain,
greater(vplus(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( vplus(vmul(vd469,X1),vmul(vd469,vskolem9(X2,X1))) = vmul(X2,vd469)
| ~ greater(X2,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
fof(c_0_16,negated_conjecture,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
( greater(vmul(X1,vd469),vmul(vd469,X2))
| ~ greater(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,plain,
( greater(vmul(X1,vd469),vmul(X2,vd469))
| ~ greater(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_20,plain,
greater(vd481,vd480),
inference(split_conjunct,[status(thm)],['holds(conseq_conjunct1(conseq(304)), 483, 0)']) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM852+1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jul 7 22:09:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42 # Preprocessing time : 0.018 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 22
% 0.23/1.42 # Proof object clause steps : 10
% 0.23/1.42 # Proof object formula steps : 12
% 0.23/1.42 # Proof object conjectures : 5
% 0.23/1.42 # Proof object clause conjectures : 2
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 6
% 0.23/1.42 # Proof object initial formulas used : 6
% 0.23/1.42 # Proof object generating inferences : 3
% 0.23/1.42 # Proof object simplifying inferences : 4
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 58
% 0.23/1.42 # Removed by relevancy pruning/SinE : 1
% 0.23/1.42 # Initial clauses : 67
% 0.23/1.42 # Removed in clause preprocessing : 3
% 0.23/1.42 # Initial clauses in saturation : 64
% 0.23/1.42 # Processed clauses : 119
% 0.23/1.42 # ...of these trivial : 7
% 0.23/1.42 # ...subsumed : 24
% 0.23/1.42 # ...remaining for further processing : 88
% 0.23/1.42 # Other redundant clauses eliminated : 25
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 2
% 0.23/1.42 # Backward-rewritten : 2
% 0.23/1.42 # Generated clauses : 557
% 0.23/1.42 # ...of the previous two non-trivial : 466
% 0.23/1.42 # Contextual simplify-reflections : 0
% 0.23/1.42 # Paramodulations : 525
% 0.23/1.42 # Factorizations : 0
% 0.23/1.42 # Equation resolutions : 32
% 0.23/1.42 # Current number of processed clauses : 78
% 0.23/1.42 # Positive orientable unit clauses : 16
% 0.23/1.42 # Positive unorientable unit clauses: 4
% 0.23/1.42 # Negative unit clauses : 9
% 0.23/1.42 # Non-unit-clauses : 49
% 0.23/1.42 # Current number of unprocessed clauses: 385
% 0.23/1.42 # ...number of literals in the above : 832
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 5
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 183
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 176
% 0.23/1.42 # Non-unit clause-clause subsumptions : 8
% 0.23/1.42 # Unit Clause-clause subsumption calls : 118
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 61
% 0.23/1.42 # BW rewrite match successes : 39
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 7455
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.026 s
% 0.23/1.42 # System time : 0.002 s
% 0.23/1.42 # Total time : 0.028 s
% 0.23/1.42 # Maximum resident set size: 3432 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------