TSTP Solution File: GRP774+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP774+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n005.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 09:03:37 EDT 2022
% Result : Theorem 0.24s 1.43s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 43 ( 34 unt; 0 def)
% Number of atoms : 62 ( 42 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 33 ( 14 ~; 9 |; 7 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 68 ( 2 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos01,axiom,
! [X1,X2,X3] : product(product(X3,X2),X1) = product(X3,product(X2,X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos01) ).
fof(sos02,axiom,
! [X3] : product(X3,X3) = X3,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos02) ).
fof(goals,conjecture,
! [X6,X7,X8,X9] :
( ( d(X6,X7)
& d(X8,X9) )
=> d(product(X6,X8),product(X7,X9)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(sos03,axiom,
! [X4,X5] :
( d(X4,X5)
<=> ( product(X4,product(X5,X4)) = X4
& product(X5,product(X4,X5)) = X5 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos03) ).
fof(c_0_4,plain,
! [X4,X5,X6] : product(product(X6,X5),X4) = product(X6,product(X5,X4)),
inference(variable_rename,[status(thm)],[sos01]) ).
fof(c_0_5,plain,
! [X4] : product(X4,X4) = X4,
inference(variable_rename,[status(thm)],[sos02]) ).
fof(c_0_6,negated_conjecture,
~ ! [X6,X7,X8,X9] :
( ( d(X6,X7)
& d(X8,X9) )
=> d(product(X6,X8),product(X7,X9)) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_7,plain,
product(product(X1,X2),X3) = product(X1,product(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
product(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_9,plain,
! [X6,X7,X6,X7] :
( ( product(X6,product(X7,X6)) = X6
| ~ d(X6,X7) )
& ( product(X7,product(X6,X7)) = X7
| ~ d(X6,X7) )
& ( product(X6,product(X7,X6)) != X6
| product(X7,product(X6,X7)) != X7
| d(X6,X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos03])])])])]) ).
fof(c_0_10,negated_conjecture,
( d(esk1_0,esk2_0)
& d(esk3_0,esk4_0)
& ~ d(product(esk1_0,esk3_0),product(esk2_0,esk4_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
cnf(c_0_11,plain,
product(X1,product(X1,X2)) = product(X1,X2),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
( product(X1,product(X2,X1)) = X1
| ~ d(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
d(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
d(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
product(X1,product(X2,product(X1,product(X2,X3)))) = product(X1,product(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_11]),c_0_7]),c_0_7]) ).
cnf(c_0_16,negated_conjecture,
product(esk1_0,product(esk2_0,esk1_0)) = esk1_0,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
product(X1,product(X2,product(X1,X2))) = product(X1,X2),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_18,plain,
( product(X2,product(X1,X2)) = X2
| ~ d(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,negated_conjecture,
product(esk3_0,product(esk4_0,esk3_0)) = esk3_0,
inference(spm,[status(thm)],[c_0_12,c_0_14]) ).
cnf(c_0_20,plain,
product(X1,product(X2,product(X3,product(X1,product(X2,product(X3,X4)))))) = product(X1,product(X2,product(X3,X4))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_15]),c_0_7]),c_0_7]) ).
cnf(c_0_21,negated_conjecture,
product(esk1_0,product(esk2_0,product(esk1_0,X1))) = product(esk1_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_16]),c_0_7]) ).
cnf(c_0_22,plain,
product(X1,product(X2,product(X3,product(X1,product(X2,X3))))) = product(X1,product(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_17]),c_0_7]),c_0_7]) ).
cnf(c_0_23,negated_conjecture,
product(esk2_0,product(esk1_0,esk2_0)) = esk2_0,
inference(spm,[status(thm)],[c_0_18,c_0_13]) ).
cnf(c_0_24,negated_conjecture,
product(esk3_0,product(esk4_0,product(esk3_0,X1))) = product(esk3_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_19]),c_0_7]) ).
cnf(c_0_25,negated_conjecture,
product(X1,product(esk1_0,product(esk2_0,product(X1,product(esk1_0,X2))))) = product(X1,product(esk1_0,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
product(X1,product(X2,product(X3,product(X4,product(X1,product(X2,product(X3,X4))))))) = product(X1,product(X2,product(X3,X4))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_22]),c_0_7]),c_0_7]) ).
cnf(c_0_27,negated_conjecture,
product(esk4_0,product(esk3_0,esk4_0)) = esk4_0,
inference(spm,[status(thm)],[c_0_18,c_0_14]) ).
cnf(c_0_28,negated_conjecture,
product(esk2_0,product(esk1_0,product(esk2_0,X1))) = product(esk2_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_23]),c_0_7]) ).
cnf(c_0_29,negated_conjecture,
~ d(product(esk1_0,esk3_0),product(esk2_0,esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_30,plain,
( d(X1,X2)
| product(X2,product(X1,X2)) != X2
| product(X1,product(X2,X1)) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_31,negated_conjecture,
product(X1,product(esk3_0,product(esk4_0,product(X1,product(esk3_0,X2))))) = product(X1,product(esk3_0,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_24]) ).
cnf(c_0_32,negated_conjecture,
product(X1,product(esk1_0,product(X2,product(esk2_0,product(X1,product(esk1_0,X2)))))) = product(X1,product(esk1_0,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_25]) ).
cnf(c_0_33,negated_conjecture,
product(X1,product(esk3_0,product(esk4_0,product(X1,esk3_0)))) = product(X1,esk3_0),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_34,negated_conjecture,
product(esk4_0,product(esk3_0,product(esk4_0,X1))) = product(esk4_0,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_27]),c_0_7]) ).
cnf(c_0_35,negated_conjecture,
product(X1,product(esk2_0,product(esk1_0,product(X1,product(esk2_0,X2))))) = product(X1,product(esk2_0,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_28]) ).
cnf(c_0_36,negated_conjecture,
( product(esk2_0,product(esk4_0,product(esk1_0,product(esk3_0,product(esk2_0,esk4_0))))) != product(esk2_0,esk4_0)
| product(esk1_0,product(esk3_0,product(esk2_0,product(esk4_0,product(esk1_0,esk3_0))))) != product(esk1_0,esk3_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_7]),c_0_7]),c_0_7]),c_0_7]) ).
cnf(c_0_37,negated_conjecture,
product(esk1_0,product(esk3_0,product(esk2_0,product(esk4_0,product(esk1_0,esk3_0))))) = product(esk1_0,esk3_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_38,negated_conjecture,
product(X1,product(esk4_0,product(esk3_0,product(X1,product(esk4_0,X2))))) = product(X1,product(esk4_0,X2)),
inference(spm,[status(thm)],[c_0_20,c_0_34]) ).
cnf(c_0_39,negated_conjecture,
product(X1,product(esk2_0,product(X2,product(esk1_0,product(X1,product(esk2_0,X2)))))) = product(X1,product(esk2_0,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_26]),c_0_35]) ).
cnf(c_0_40,negated_conjecture,
product(X1,product(esk4_0,product(esk3_0,product(X1,esk4_0)))) = product(X1,esk4_0),
inference(spm,[status(thm)],[c_0_20,c_0_27]) ).
cnf(c_0_41,negated_conjecture,
product(esk2_0,product(esk4_0,product(esk1_0,product(esk3_0,product(esk2_0,esk4_0))))) != product(esk2_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP774+1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n005.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 : Mon Jun 13 04:23:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.24/1.43 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.43 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.43 # Preprocessing time : 0.014 s
% 0.24/1.43
% 0.24/1.43 # Proof found!
% 0.24/1.43 # SZS status Theorem
% 0.24/1.43 # SZS output start CNFRefutation
% See solution above
% 0.24/1.43 # Proof object total steps : 43
% 0.24/1.43 # Proof object clause steps : 34
% 0.24/1.43 # Proof object formula steps : 9
% 0.24/1.43 # Proof object conjectures : 26
% 0.24/1.43 # Proof object clause conjectures : 23
% 0.24/1.43 # Proof object formula conjectures : 3
% 0.24/1.43 # Proof object initial clauses used : 8
% 0.24/1.43 # Proof object initial formulas used : 4
% 0.24/1.43 # Proof object generating inferences : 25
% 0.24/1.43 # Proof object simplifying inferences : 23
% 0.24/1.43 # Training examples: 0 positive, 0 negative
% 0.24/1.43 # Parsed axioms : 4
% 0.24/1.43 # Removed by relevancy pruning/SinE : 0
% 0.24/1.43 # Initial clauses : 8
% 0.24/1.43 # Removed in clause preprocessing : 0
% 0.24/1.43 # Initial clauses in saturation : 8
% 0.24/1.43 # Processed clauses : 275
% 0.24/1.43 # ...of these trivial : 83
% 0.24/1.43 # ...subsumed : 0
% 0.24/1.43 # ...remaining for further processing : 192
% 0.24/1.43 # Other redundant clauses eliminated : 0
% 0.24/1.43 # Clauses deleted for lack of memory : 0
% 0.24/1.43 # Backward-subsumed : 0
% 0.24/1.43 # Backward-rewritten : 61
% 0.24/1.43 # Generated clauses : 12679
% 0.24/1.43 # ...of the previous two non-trivial : 2727
% 0.24/1.43 # Contextual simplify-reflections : 0
% 0.24/1.43 # Paramodulations : 12679
% 0.24/1.43 # Factorizations : 0
% 0.24/1.43 # Equation resolutions : 0
% 0.24/1.43 # Current number of processed clauses : 131
% 0.24/1.43 # Positive orientable unit clauses : 126
% 0.24/1.43 # Positive unorientable unit clauses: 0
% 0.24/1.43 # Negative unit clauses : 2
% 0.24/1.43 # Non-unit-clauses : 3
% 0.24/1.43 # Current number of unprocessed clauses: 1899
% 0.24/1.43 # ...number of literals in the above : 1899
% 0.24/1.43 # Current number of archived formulas : 0
% 0.24/1.43 # Current number of archived clauses : 61
% 0.24/1.43 # Clause-clause subsumption calls (NU) : 2
% 0.24/1.43 # Rec. Clause-clause subsumption calls : 2
% 0.24/1.43 # Non-unit clause-clause subsumptions : 0
% 0.24/1.43 # Unit Clause-clause subsumption calls : 0
% 0.24/1.43 # Rewrite failures with RHS unbound : 0
% 0.24/1.43 # BW rewrite match attempts : 3388
% 0.24/1.43 # BW rewrite match successes : 60
% 0.24/1.43 # Condensation attempts : 0
% 0.24/1.43 # Condensation successes : 0
% 0.24/1.43 # Termbank termtop insertions : 280609
% 0.24/1.43
% 0.24/1.43 # -------------------------------------------------
% 0.24/1.43 # User time : 0.165 s
% 0.24/1.43 # System time : 0.003 s
% 0.24/1.43 # Total time : 0.168 s
% 0.24/1.43 # Maximum resident set size: 11212 pages
% 0.24/23.42 eprover: CPU time limit exceeded, terminating
% 0.24/23.44 eprover: CPU time limit exceeded, terminating
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------