TSTP Solution File: GRP710+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP710+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n010.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 09:03:25 EDT 2022
% Result : Theorem 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 27 unt; 0 def)
% Number of atoms : 47 ( 37 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 16 ~; 6 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 63 ( 6 sgn 24 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f01,axiom,
! [X1] : mult(X1,unit) = X1,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f01) ).
fof(f03,axiom,
! [X2,X3,X1] : mult(X1,mult(X3,mult(X3,X2))) = mult(mult(mult(X1,X3),X3),X2),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f03) ).
fof(f05,axiom,
! [X1] : mult(i(X1),X1) = unit,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f05) ).
fof(f02,axiom,
! [X1] : mult(unit,X1) = X1,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f02) ).
fof(goals,conjecture,
( ! [X4,X5] :
? [X6] : mult(X4,X6) = X5
& ! [X7,X8] :
? [X9] : mult(X9,X8) = X7 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(c_0_5,plain,
! [X2] : mult(X2,unit) = X2,
inference(variable_rename,[status(thm)],[f01]) ).
fof(c_0_6,plain,
! [X4,X5,X6] : mult(X6,mult(X5,mult(X5,X4))) = mult(mult(mult(X6,X5),X5),X4),
inference(variable_rename,[status(thm)],[f03]) ).
cnf(c_0_7,plain,
mult(X1,unit) = X1,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
mult(X1,mult(X2,mult(X2,X3))) = mult(mult(mult(X1,X2),X2),X3),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_7]) ).
fof(c_0_10,plain,
! [X2] : mult(i(X2),X2) = unit,
inference(variable_rename,[status(thm)],[f05]) ).
fof(c_0_11,plain,
! [X2] : mult(unit,X2) = X2,
inference(variable_rename,[status(thm)],[f02]) ).
cnf(c_0_12,plain,
mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
mult(i(X1),X1) = unit,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
mult(unit,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,negated_conjecture,
~ ( ! [X4,X5] :
? [X6] : mult(X4,X6) = X5
& ! [X7,X8] :
? [X9] : mult(X9,X8) = X7 ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_16,plain,
( ~ epred1_0
<=> ! [X1] : mult(X1,esk4_0) != esk3_0 ),
introduced(definition) ).
cnf(c_0_17,plain,
mult(mult(X1,mult(X2,mult(X2,X3))),X3) = mult(X1,mult(X2,mult(X2,mult(X3,X3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_12]),c_0_12]) ).
cnf(c_0_18,plain,
mult(i(X1),mult(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_13]),c_0_14]) ).
cnf(c_0_19,plain,
mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_14]),c_0_14]) ).
fof(c_0_20,negated_conjecture,
! [X12,X15] :
( mult(esk1_0,X12) != esk2_0
| mult(X15,esk4_0) != esk3_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_15])])])])])]) ).
cnf(c_0_21,negated_conjecture,
( epred1_0
| mult(X1,esk4_0) != esk3_0 ),
inference(split_equiv,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
mult(mult(X1,i(X2)),X2) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_7]),c_0_18]),c_0_13]),c_0_7]) ).
cnf(c_0_23,plain,
mult(mult(X1,mult(X1,mult(X2,X2))),X3) = mult(X1,mult(X1,mult(X2,mult(X2,X3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_19]),c_0_19]) ).
cnf(c_0_24,plain,
mult(i(X1),mult(X1,mult(X1,X2))) = mult(X1,X2),
inference(spm,[status(thm)],[c_0_12,c_0_18]) ).
fof(c_0_25,plain,
( ~ epred2_0
<=> ! [X2] : mult(esk1_0,X2) != esk2_0 ),
introduced(definition) ).
cnf(c_0_26,negated_conjecture,
( mult(X1,esk4_0) != esk3_0
| mult(esk1_0,X2) != esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
( epred1_0
| X1 != esk3_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,plain,
mult(i(X1),mult(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_18]),c_0_13]),c_0_14]),c_0_24]) ).
cnf(c_0_29,plain,
i(i(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_18]),c_0_13]),c_0_7]) ).
cnf(c_0_30,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_26,c_0_16]),c_0_25]) ).
cnf(c_0_31,negated_conjecture,
epred1_0,
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_32,negated_conjecture,
( epred2_0
| mult(esk1_0,X1) != esk2_0 ),
inference(split_equiv,[status(thm)],[c_0_25]) ).
cnf(c_0_33,plain,
mult(X1,mult(i(X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
~ epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).
cnf(c_0_35,negated_conjecture,
X1 != esk2_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_36,negated_conjecture,
$false,
inference(er,[status(thm)],[c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP710+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 20:05:39 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.24/1.41 # Preprocessing time : 0.013 s
% 0.24/1.41
% 0.24/1.41 # Proof found!
% 0.24/1.41 # SZS status Theorem
% 0.24/1.41 # SZS output start CNFRefutation
% See solution above
% 0.24/1.41 # Proof object total steps : 37
% 0.24/1.41 # Proof object clause steps : 24
% 0.24/1.41 # Proof object formula steps : 13
% 0.24/1.41 # Proof object conjectures : 12
% 0.24/1.41 # Proof object clause conjectures : 9
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 7
% 0.24/1.41 # Proof object initial formulas used : 5
% 0.24/1.41 # Proof object generating inferences : 14
% 0.24/1.41 # Proof object simplifying inferences : 20
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 6
% 0.24/1.41 # Removed by relevancy pruning/SinE : 0
% 0.24/1.41 # Initial clauses : 6
% 0.24/1.41 # Removed in clause preprocessing : 0
% 0.24/1.41 # Initial clauses in saturation : 6
% 0.24/1.41 # Processed clauses : 199
% 0.24/1.41 # ...of these trivial : 28
% 0.24/1.41 # ...subsumed : 82
% 0.24/1.41 # ...remaining for further processing : 89
% 0.24/1.41 # Other redundant clauses eliminated : 0
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 25
% 0.24/1.41 # Backward-rewritten : 16
% 0.24/1.41 # Generated clauses : 2647
% 0.24/1.41 # ...of the previous two non-trivial : 2126
% 0.24/1.41 # Contextual simplify-reflections : 0
% 0.24/1.41 # Paramodulations : 2642
% 0.24/1.41 # Factorizations : 0
% 0.24/1.41 # Equation resolutions : 2
% 0.24/1.41 # Current number of processed clauses : 47
% 0.24/1.41 # Positive orientable unit clauses : 38
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 4
% 0.24/1.41 # Non-unit-clauses : 5
% 0.24/1.41 # Current number of unprocessed clauses: 1297
% 0.24/1.41 # ...number of literals in the above : 1297
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 41
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 906
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 889
% 0.24/1.41 # Non-unit clause-clause subsumptions : 105
% 0.24/1.41 # Unit Clause-clause subsumption calls : 19
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 251
% 0.24/1.41 # BW rewrite match successes : 12
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 60928
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.058 s
% 0.24/1.41 # System time : 0.004 s
% 0.24/1.41 # Total time : 0.062 s
% 0.24/1.41 # Maximum resident set size: 5400 pages
% 0.24/23.40 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 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
% 0.24/23.43 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: CPU time limit exceeded, terminating
% 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
% 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
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 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
% 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
% 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
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.49 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50 eprover: No such file or directory
% 0.24/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.24/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------