%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP658+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 09:03:07 EDT 2022
% Result : Theorem 0.25s 1.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 27 unt; 0 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 2 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 0 con; 1-2 aty)
% Number of variables : 71 ( 0 sgn 21 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f01,axiom,
! [X1,X2] : mult(X2,ld(X2,X1)) = X1,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f01) ).
fof(f05,axiom,
! [X3,X1,X2] : mult(mult(X2,mult(X1,X1)),X3) = mult(mult(X2,X1),mult(X1,X3)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f05) ).
fof(f03,axiom,
! [X1,X2] : mult(rd(X2,X1),X1) = X2,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f03) ).
fof(f04,axiom,
! [X1,X2] : rd(mult(X2,X1),X1) = X2,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f04) ).
fof(goals,conjecture,
? [X4] :
! [X5] :
( mult(X5,X4) = X5
& mult(X4,X5) = X5 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(c_0_5,plain,
! [X3,X4] : mult(X4,ld(X4,X3)) = X3,
inference(variable_rename,[status(thm)],[f01]) ).
fof(c_0_6,plain,
! [X4,X5,X6] : mult(mult(X6,mult(X5,X5)),X4) = mult(mult(X6,X5),mult(X5,X4)),
inference(variable_rename,[status(thm)],[f05]) ).
cnf(c_0_7,plain,
mult(X1,ld(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
mult(mult(X1,mult(X2,X2)),X3) = mult(mult(X1,X2),mult(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X3,X4] : mult(rd(X4,X3),X3) = X4,
inference(variable_rename,[status(thm)],[f03]) ).
cnf(c_0_10,plain,
mult(mult(X1,X2),mult(X2,ld(mult(X1,mult(X2,X2)),X3))) = X3,
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
mult(rd(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
mult(mult(rd(X1,mult(X2,X2)),X2),mult(X2,ld(X1,X3))) = X3,
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,plain,
mult(mult(rd(X1,mult(X1,X1)),X1),X2) = X2,
inference(spm,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_14,plain,
mult(mult(mult(X1,X2),mult(X2,mult(X3,X3))),X4) = mult(mult(mult(X1,X2),mult(X2,X3)),mult(X3,X4)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_8]),c_0_8]) ).
cnf(c_0_15,plain,
mult(mult(X1,X1),X2) = mult(X1,mult(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_13]),c_0_13]) ).
cnf(c_0_16,plain,
mult(mult(X1,mult(X2,mult(X3,X3))),X4) = mult(mult(X1,mult(X2,X3)),mult(X3,X4)),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
fof(c_0_17,plain,
! [X3,X4] : rd(mult(X4,X3),X3) = X4,
inference(variable_rename,[status(thm)],[f04]) ).
cnf(c_0_18,plain,
mult(mult(mult(X1,X2),mult(X2,mult(X1,X2))),mult(X2,X3)) = mult(mult(X1,X2),mult(X2,mult(mult(X1,X2),mult(X2,X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_8]),c_0_8]),c_0_8]) ).
cnf(c_0_19,plain,
rd(mult(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_20,plain,
mult(mult(X1,mult(X2,X1)),mult(X2,X3)) = mult(X1,mult(X2,mult(X1,mult(X2,X3)))),
inference(spm,[status(thm)],[c_0_18,c_0_11]) ).
cnf(c_0_21,plain,
mult(X1,mult(X1,ld(mult(X1,X1),X2))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_13]),c_0_13]) ).
cnf(c_0_22,plain,
rd(X1,X1) = mult(rd(X2,mult(X2,X2)),X2),
inference(spm,[status(thm)],[c_0_19,c_0_13]) ).
fof(c_0_23,negated_conjecture,
~ ? [X4] :
! [X5] :
( mult(X5,X4) = X5
& mult(X4,X5) = X5 ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_24,plain,
mult(mult(X1,mult(X2,X1)),X3) = mult(X1,mult(X2,mult(X1,X3))),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
mult(rd(X1,X1),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_22]),c_0_11]),c_0_7]) ).
fof(c_0_26,negated_conjecture,
! [X6] :
( mult(esk1_1(X6),X6) != esk1_1(X6)
| mult(X6,esk2_1(X6)) != esk2_1(X6) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
cnf(c_0_27,plain,
mult(mult(X1,rd(X2,X2)),X3) = mult(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_25]),c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( mult(X1,esk2_1(X1)) != esk2_1(X1)
| mult(esk1_1(X1),X1) != esk1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_29,plain,
mult(X1,rd(X2,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_27]),c_0_19]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP658+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n020.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 : Tue Jun 14 01:30:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.25/1.43 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.25/1.43 # Preprocessing time : 0.013 s
% 0.25/1.43
% 0.25/1.43 # Proof found!
% 0.25/1.43 # SZS status Theorem
% 0.25/1.43 # SZS output start CNFRefutation
% See solution above
% 0.25/1.43 # Proof object total steps : 31
% 0.25/1.43 # Proof object clause steps : 20
% 0.25/1.43 # Proof object formula steps : 11
% 0.25/1.43 # Proof object conjectures : 5
% 0.25/1.43 # Proof object clause conjectures : 2
% 0.25/1.43 # Proof object formula conjectures : 3
% 0.25/1.43 # Proof object initial clauses used : 5
% 0.25/1.43 # Proof object initial formulas used : 5
% 0.25/1.43 # Proof object generating inferences : 15
% 0.25/1.43 # Proof object simplifying inferences : 13
% 0.25/1.43 # Training examples: 0 positive, 0 negative
% 0.25/1.43 # Parsed axioms : 6
% 0.25/1.43 # Removed by relevancy pruning/SinE : 0
% 0.25/1.43 # Initial clauses : 6
% 0.25/1.43 # Removed in clause preprocessing : 0
% 0.25/1.43 # Initial clauses in saturation : 6
% 0.25/1.43 # Processed clauses : 94
% 0.25/1.43 # ...of these trivial : 19
% 0.25/1.43 # ...subsumed : 30
% 0.25/1.43 # ...remaining for further processing : 45
% 0.25/1.43 # Other redundant clauses eliminated : 0
% 0.25/1.43 # Clauses deleted for lack of memory : 0
% 0.25/1.43 # Backward-subsumed : 0
% 0.25/1.43 # Backward-rewritten : 10
% 0.25/1.43 # Generated clauses : 1847
% 0.25/1.43 # ...of the previous two non-trivial : 1475
% 0.25/1.43 # Contextual simplify-reflections : 0
% 0.25/1.43 # Paramodulations : 1847
% 0.25/1.43 # Factorizations : 0
% 0.25/1.43 # Equation resolutions : 0
% 0.25/1.43 # Current number of processed clauses : 35
% 0.25/1.43 # Positive orientable unit clauses : 30
% 0.25/1.43 # Positive unorientable unit clauses: 4
% 0.25/1.43 # Negative unit clauses : 0
% 0.25/1.43 # Non-unit-clauses : 1
% 0.25/1.43 # Current number of unprocessed clauses: 898
% 0.25/1.43 # ...number of literals in the above : 898
% 0.25/1.43 # Current number of archived formulas : 0
% 0.25/1.43 # Current number of archived clauses : 10
% 0.25/1.43 # Clause-clause subsumption calls (NU) : 0
% 0.25/1.43 # Rec. Clause-clause subsumption calls : 0
% 0.25/1.43 # Non-unit clause-clause subsumptions : 0
% 0.25/1.43 # Unit Clause-clause subsumption calls : 2
% 0.25/1.43 # Rewrite failures with RHS unbound : 30
% 0.25/1.43 # BW rewrite match attempts : 108
% 0.25/1.43 # BW rewrite match successes : 19
% 0.25/1.43 # Condensation attempts : 0
% 0.25/1.43 # Condensation successes : 0
% 0.25/1.43 # Termbank termtop insertions : 36525
% 0.25/1.43
% 0.25/1.43 # -------------------------------------------------
% 0.25/1.43 # User time : 0.040 s
% 0.25/1.43 # System time : 0.004 s
% 0.25/1.43 # Total time : 0.044 s
% 0.25/1.43 # Maximum resident set size: 4348 pages
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 0.25/23.43 eprover: CPU time limit exceeded, terminating
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------