TSTP Solution File: GRP001+6 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP001+6 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n019.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 : Sat Jul 16 09:00:13 EDT 2022
% Result : Theorem 0.29s 1.47s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 31 ( 15 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 98 ( 31 ~; 28 |; 29 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 123 ( 0 sgn 65 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(commutativity,conjecture,
! [X1] :
( ( ! [X2,X3] :
? [X4] : product(X2,X3,X4)
& ! [X2,X3,X4,X5,X6,X7] :
( ( product(X2,X3,X5)
& product(X3,X4,X6)
& product(X5,X4,X7) )
=> product(X2,X6,X7) )
& ! [X2,X3,X4,X5,X6,X7] :
( ( product(X2,X3,X5)
& product(X3,X4,X6)
& product(X2,X6,X7) )
=> product(X5,X4,X7) )
& ! [X2] : product(X2,X1,X2)
& ! [X2] : product(X1,X2,X2)
& ! [X2] : product(X2,inverse(X2),X1)
& ! [X2] : product(inverse(X2),X2,X1) )
=> ( ! [X2] : product(X2,X2,X1)
=> ! [X5,X6,X7] :
( product(X5,X6,X7)
=> product(X6,X5,X7) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',commutativity) ).
fof(c_0_1,negated_conjecture,
~ ! [X1] :
( ( ! [X2,X3] :
? [X4] : product(X2,X3,X4)
& ! [X2,X3,X4,X5,X6,X7] :
( ( product(X2,X3,X5)
& product(X3,X4,X6)
& product(X5,X4,X7) )
=> product(X2,X6,X7) )
& ! [X2,X3,X4,X5,X6,X7] :
( ( product(X2,X3,X5)
& product(X3,X4,X6)
& product(X2,X6,X7) )
=> product(X5,X4,X7) )
& ! [X2] : product(X2,X1,X2)
& ! [X2] : product(X1,X2,X2)
& ! [X2] : product(X2,inverse(X2),X1)
& ! [X2] : product(inverse(X2),X2,X1) )
=> ( ! [X2] : product(X2,X2,X1)
=> ! [X5,X6,X7] :
( product(X5,X6,X7)
=> product(X6,X5,X7) ) ) ),
inference(assume_negation,[status(cth)],[commutativity]) ).
fof(c_0_2,negated_conjecture,
! [X9,X10,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28] :
( product(X9,X10,esk2_2(X9,X10))
& ( ~ product(X12,X13,X15)
| ~ product(X13,X14,X16)
| ~ product(X15,X14,X17)
| product(X12,X16,X17) )
& ( ~ product(X18,X19,X21)
| ~ product(X19,X20,X22)
| ~ product(X18,X22,X23)
| product(X21,X20,X23) )
& product(X24,esk1_0,X24)
& product(esk1_0,X25,X25)
& product(X26,inverse(X26),esk1_0)
& product(inverse(X27),X27,esk1_0)
& product(X28,X28,esk1_0)
& product(esk3_0,esk4_0,esk5_0)
& ~ product(esk4_0,esk3_0,esk5_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).
cnf(c_0_3,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X2,X5)
| ~ product(X4,X6,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
product(X1,X1,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
product(X1,X2,esk2_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X4,esk1_0,X3)
| ~ product(X4,X2,X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
product(X1,esk1_0,X1),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X4,esk2_2(X5,X2),X3)
| ~ product(X4,X5,X1) ),
inference(spm,[status(thm)],[c_0_3,c_0_5]) ).
cnf(c_0_9,negated_conjecture,
product(esk1_0,X1,X1),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
product(inverse(X1),X1,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X5,X2)
| ~ product(X1,X6,X4) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
product(esk3_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,negated_conjecture,
( product(X1,X2,esk2_2(X3,X2))
| ~ product(esk1_0,X3,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_15,negated_conjecture,
product(esk1_0,X1,inverse(X1)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( product(X1,esk5_0,X2)
| ~ product(X3,esk4_0,X2)
| ~ product(X1,esk3_0,X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
product(inverse(X1),X2,esk2_2(X1,X2)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( product(X1,esk1_0,X2)
| ~ product(X3,X4,X2)
| ~ product(X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_4]) ).
cnf(c_0_19,negated_conjecture,
( product(X1,esk5_0,esk1_0)
| ~ product(X1,esk3_0,inverse(esk4_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_11]) ).
cnf(c_0_20,negated_conjecture,
product(esk2_2(X1,X2),X2,inverse(X1)),
inference(spm,[status(thm)],[c_0_10,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( product(X1,X2,X3)
| ~ product(X4,inverse(X2),X1)
| ~ product(X4,esk1_0,X3) ),
inference(spm,[status(thm)],[c_0_3,c_0_11]) ).
cnf(c_0_22,negated_conjecture,
product(X1,inverse(X1),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_23,negated_conjecture,
( product(X1,esk1_0,X2)
| ~ product(X1,X2,esk1_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_9]) ).
cnf(c_0_24,negated_conjecture,
product(esk2_2(esk4_0,esk3_0),esk5_0,esk1_0),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( product(esk1_0,X1,X2)
| ~ product(X1,esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
product(esk2_2(esk4_0,esk3_0),esk1_0,esk5_0),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
product(esk1_0,esk2_2(esk4_0,esk3_0),esk5_0),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
( product(X1,esk3_0,esk5_0)
| ~ product(esk1_0,esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_27]) ).
cnf(c_0_29,negated_conjecture,
~ product(esk4_0,esk3_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_9]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP001+6 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.15 % Command : run_ET %s %d
% 0.16/0.37 % Computer : n019.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 600
% 0.16/0.37 % DateTime : Mon Jun 13 14:45:54 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.29/1.47 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.29/1.47 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.29/1.47 # Preprocessing time : 0.014 s
% 0.29/1.47
% 0.29/1.47 # Proof found!
% 0.29/1.47 # SZS status Theorem
% 0.29/1.47 # SZS output start CNFRefutation
% See solution above
% 0.29/1.47 # Proof object total steps : 31
% 0.29/1.47 # Proof object clause steps : 28
% 0.29/1.47 # Proof object formula steps : 3
% 0.29/1.47 # Proof object conjectures : 31
% 0.29/1.47 # Proof object clause conjectures : 28
% 0.29/1.47 # Proof object formula conjectures : 3
% 0.29/1.47 # Proof object initial clauses used : 10
% 0.29/1.47 # Proof object initial formulas used : 1
% 0.29/1.47 # Proof object generating inferences : 18
% 0.29/1.47 # Proof object simplifying inferences : 1
% 0.29/1.47 # Training examples: 0 positive, 0 negative
% 0.29/1.47 # Parsed axioms : 1
% 0.29/1.47 # Removed by relevancy pruning/SinE : 0
% 0.29/1.47 # Initial clauses : 10
% 0.29/1.47 # Removed in clause preprocessing : 0
% 0.29/1.47 # Initial clauses in saturation : 10
% 0.29/1.47 # Processed clauses : 473
% 0.29/1.47 # ...of these trivial : 16
% 0.29/1.47 # ...subsumed : 140
% 0.29/1.47 # ...remaining for further processing : 317
% 0.29/1.47 # Other redundant clauses eliminated : 0
% 0.29/1.47 # Clauses deleted for lack of memory : 0
% 0.29/1.47 # Backward-subsumed : 7
% 0.29/1.47 # Backward-rewritten : 13
% 0.29/1.47 # Generated clauses : 6536
% 0.29/1.47 # ...of the previous two non-trivial : 5828
% 0.29/1.47 # Contextual simplify-reflections : 0
% 0.29/1.47 # Paramodulations : 6536
% 0.29/1.47 # Factorizations : 0
% 0.29/1.47 # Equation resolutions : 0
% 0.29/1.47 # Current number of processed clauses : 297
% 0.29/1.47 # Positive orientable unit clauses : 83
% 0.29/1.47 # Positive unorientable unit clauses: 0
% 0.29/1.47 # Negative unit clauses : 1
% 0.29/1.47 # Non-unit-clauses : 213
% 0.29/1.47 # Current number of unprocessed clauses: 5072
% 0.29/1.47 # ...number of literals in the above : 11143
% 0.29/1.47 # Current number of archived formulas : 0
% 0.29/1.47 # Current number of archived clauses : 20
% 0.29/1.47 # Clause-clause subsumption calls (NU) : 9076
% 0.29/1.47 # Rec. Clause-clause subsumption calls : 8599
% 0.29/1.47 # Non-unit clause-clause subsumptions : 147
% 0.29/1.47 # Unit Clause-clause subsumption calls : 109
% 0.29/1.47 # Rewrite failures with RHS unbound : 0
% 0.29/1.47 # BW rewrite match attempts : 1628
% 0.29/1.47 # BW rewrite match successes : 13
% 0.29/1.47 # Condensation attempts : 0
% 0.29/1.47 # Condensation successes : 0
% 0.29/1.47 # Termbank termtop insertions : 65043
% 0.29/1.47
% 0.29/1.47 # -------------------------------------------------
% 0.29/1.47 # User time : 0.153 s
% 0.29/1.47 # System time : 0.004 s
% 0.29/1.47 # Total time : 0.157 s
% 0.29/1.47 # Maximum resident set size: 6728 pages
% 0.29/23.46 eprover: CPU time limit exceeded, terminating
% 0.29/23.46 eprover: CPU time limit exceeded, terminating
% 0.29/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.48 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.49 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.50 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.51 eprover: No such file or directory
% 0.29/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.52 eprover: No such file or directory
% 0.29/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.52 eprover: No such file or directory
% 0.29/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.52 eprover: No such file or directory
% 0.29/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.53 eprover: No such file or directory
% 0.29/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.53 eprover: No such file or directory
% 0.29/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.53 eprover: No such file or directory
%------------------------------------------------------------------------------