%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM851+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n008.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 09:37:09 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('ass(cond(281, 0), 0)',axiom,
! [X4,X5,X6] : vmul(X4,vplus(X5,X6)) = vplus(vmul(X4,X5),vmul(X4,X6)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(281, 0), 0)') ).
fof('ass(cond(270, 0), 0)',axiom,
! [X7,X8] : vmul(X7,X8) = vmul(X8,X7),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(270, 0), 0)') ).
fof('holds(conseq_conjunct2(conseq(302)), 475, 1)',conjecture,
vmul(vplus(vd471,vd473),vd469) = vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(conseq_conjunct2(conseq(302)), 475, 1)') ).
fof('ass(cond(61, 0), 0)',axiom,
! [X30,X31] : vplus(X31,X30) = vplus(X30,X31),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','ass(cond(61, 0), 0)') ).
fof('holds(conseq_conjunct1(conseq(302)), 474, 0)',axiom,
vd470 = vplus(vd471,vd473),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(conseq_conjunct1(conseq(302)), 474, 0)') ).
fof('holds(conseq_conjunct2(conseq(302)), 475, 0)',axiom,
vmul(vd470,vd469) = vmul(vplus(vd471,vd473),vd469),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in','holds(conseq_conjunct2(conseq(302)), 475, 0)') ).
fof(c_0_6,plain,
! [X7,X8,X9] : vmul(X7,vplus(X8,X9)) = vplus(vmul(X7,X8),vmul(X7,X9)),
inference(variable_rename,[status(thm)],['ass(cond(281, 0), 0)']) ).
fof(c_0_7,plain,
! [X9,X10] : vmul(X9,X10) = vmul(X10,X9),
inference(variable_rename,[status(thm)],['ass(cond(270, 0), 0)']) ).
cnf(c_0_8,plain,
vmul(X1,vplus(X2,X3)) = vplus(vmul(X1,X2),vmul(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
vmul(X1,X2) = vmul(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,negated_conjecture,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
inference(assume_negation,[status(cth)],['holds(conseq_conjunct2(conseq(302)), 475, 1)']) ).
cnf(c_0_11,plain,
vmul(vplus(X1,X2),X3) = vplus(vmul(X3,X1),vmul(X3,X2)),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
fof(c_0_12,plain,
! [X32,X33] : vplus(X33,X32) = vplus(X32,X33),
inference(variable_rename,[status(thm)],['ass(cond(61, 0), 0)']) ).
fof(c_0_13,negated_conjecture,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
vmul(vplus(X1,X2),X3) = vplus(vmul(X3,X1),vmul(X2,X3)),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_15,plain,
vd470 = vplus(vd471,vd473),
inference(split_conjunct,[status(thm)],['holds(conseq_conjunct1(conseq(302)), 474, 0)']) ).
cnf(c_0_16,plain,
vplus(X1,X2) = vplus(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
vmul(vd470,vd469) = vmul(vplus(vd471,vd473),vd469),
inference(split_conjunct,[status(thm)],['holds(conseq_conjunct2(conseq(302)), 475, 0)']) ).
cnf(c_0_19,plain,
vmul(vplus(X1,X2),X3) = vplus(vmul(X1,X3),vmul(X2,X3)),
inference(spm,[status(thm)],[c_0_14,c_0_9]) ).
cnf(c_0_20,plain,
vplus(vd473,vd471) = vd470,
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
vplus(vmul(vd473,vd469),vmul(vd471,vd469)) != vmul(vd470,vd469),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_16]) ).
cnf(c_0_22,plain,
vplus(vmul(vd473,X1),vmul(vd471,X1)) = vmul(vd470,X1),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM851+2 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 5 14:12:23 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42 # Preprocessing time : 0.015 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 24
% 0.24/1.42 # Proof object clause steps : 13
% 0.24/1.42 # Proof object formula steps : 11
% 0.24/1.42 # Proof object conjectures : 6
% 0.24/1.42 # Proof object clause conjectures : 3
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 6
% 0.24/1.42 # Proof object initial formulas used : 6
% 0.24/1.42 # Proof object generating inferences : 4
% 0.24/1.42 # Proof object simplifying inferences : 5
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 27
% 0.24/1.42 # Removed by relevancy pruning/SinE : 3
% 0.24/1.42 # Initial clauses : 27
% 0.24/1.42 # Removed in clause preprocessing : 1
% 0.24/1.42 # Initial clauses in saturation : 26
% 0.24/1.42 # Processed clauses : 627
% 0.24/1.42 # ...of these trivial : 154
% 0.24/1.42 # ...subsumed : 260
% 0.24/1.42 # ...remaining for further processing : 213
% 0.24/1.42 # Other redundant clauses eliminated : 59
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 3
% 0.24/1.42 # Backward-rewritten : 76
% 0.24/1.42 # Generated clauses : 9354
% 0.24/1.42 # ...of the previous two non-trivial : 8810
% 0.24/1.42 # Contextual simplify-reflections : 4
% 0.24/1.42 # Paramodulations : 9273
% 0.24/1.42 # Factorizations : 2
% 0.24/1.42 # Equation resolutions : 79
% 0.24/1.42 # Current number of processed clauses : 132
% 0.24/1.42 # Positive orientable unit clauses : 60
% 0.24/1.42 # Positive unorientable unit clauses: 6
% 0.24/1.42 # Negative unit clauses : 25
% 0.24/1.42 # Non-unit-clauses : 41
% 0.24/1.42 # Current number of unprocessed clauses: 2438
% 0.24/1.42 # ...number of literals in the above : 4654
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 80
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 422
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 399
% 0.24/1.42 # Non-unit clause-clause subsumptions : 52
% 0.24/1.42 # Unit Clause-clause subsumption calls : 408
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 381
% 0.24/1.42 # BW rewrite match successes : 246
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 112388
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.175 s
% 0.24/1.42 # System time : 0.006 s
% 0.24/1.42 # Total time : 0.181 s
% 0.24/1.42 # Maximum resident set size: 10212 pages
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------