TSTP Solution File: GRP748+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP748+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 09:03:32 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 45 ( 36 unt; 0 def)
% Number of atoms : 60 ( 59 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 10 ~; 12 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f04,axiom,
! [X1,X2] : rd(mult(X2,X1),X1) = X2,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f04) ).
fof(f10,axiom,
! [X2] : mult(i(X2),X2) = unit,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f10) ).
fof(f09,axiom,
! [X2] : mult(X2,i(X2)) = unit,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f09) ).
fof(goals,conjecture,
( ! [X4,X5,X6] : mult(X6,mult(X4,mult(X6,X5))) = mult(mult(mult(X6,X4),X6),X5)
| ! [X7,X8,X9] : mult(X7,mult(X9,mult(X8,X9))) = mult(mult(mult(X7,X9),X8),X9)
| ! [X10,X11,X12] : mult(mult(X12,X10),mult(X11,X12)) = mult(mult(X12,mult(X10,X11)),X12)
| ! [X13,X14,X15] : mult(mult(X15,X13),mult(X14,X15)) = mult(X15,mult(mult(X13,X14),X15)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(f08,axiom,
! [X1,X2] : mult(mult(X2,X1),i(X1)) = X2,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f08) ).
fof(f11,axiom,
! [X1,X2] :
( mult(X2,X1) = mult(X1,X2)
| mult(i(X2),mult(X2,X1)) = X1 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f11) ).
fof(f07,axiom,
! [X3,X1,X2] : mult(mult(mult(X2,X1),X3),X1) = mult(X2,mult(mult(X1,X3),X1)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f07) ).
fof(f06,axiom,
! [X2] : mult(unit,X2) = X2,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f06) ).
fof(f05,axiom,
! [X2] : mult(X2,unit) = X2,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f05) ).
fof(c_0_9,plain,
! [X3,X4] : rd(mult(X4,X3),X3) = X4,
inference(variable_rename,[status(thm)],[f04]) ).
fof(c_0_10,plain,
! [X3] : mult(i(X3),X3) = unit,
inference(variable_rename,[status(thm)],[f10]) ).
fof(c_0_11,plain,
! [X3] : mult(X3,i(X3)) = unit,
inference(variable_rename,[status(thm)],[f09]) ).
cnf(c_0_12,plain,
rd(mult(X1,X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
mult(i(X1),X1) = unit,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,negated_conjecture,
~ ( ! [X4,X5,X6] : mult(X6,mult(X4,mult(X6,X5))) = mult(mult(mult(X6,X4),X6),X5)
| ! [X7,X8,X9] : mult(X7,mult(X9,mult(X8,X9))) = mult(mult(mult(X7,X9),X8),X9)
| ! [X10,X11,X12] : mult(mult(X12,X10),mult(X11,X12)) = mult(mult(X12,mult(X10,X11)),X12)
| ! [X13,X14,X15] : mult(mult(X15,X13),mult(X14,X15)) = mult(X15,mult(mult(X13,X14),X15)) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_15,plain,
! [X3,X4] : mult(mult(X4,X3),i(X3)) = X4,
inference(variable_rename,[status(thm)],[f08]) ).
fof(c_0_16,plain,
! [X3,X4] :
( mult(X4,X3) = mult(X3,X4)
| mult(i(X4),mult(X4,X3)) = X3 ),
inference(variable_rename,[status(thm)],[f11]) ).
cnf(c_0_17,plain,
mult(X1,i(X1)) = unit,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
rd(unit,X1) = i(X1),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_19,plain,
! [X4,X5,X6] : mult(mult(mult(X6,X5),X4),X5) = mult(X6,mult(mult(X5,X4),X5)),
inference(variable_rename,[status(thm)],[f07]) ).
fof(c_0_20,plain,
! [X3] : mult(unit,X3) = X3,
inference(variable_rename,[status(thm)],[f06]) ).
fof(c_0_21,negated_conjecture,
( mult(esk3_0,mult(esk1_0,mult(esk3_0,esk2_0))) != mult(mult(mult(esk3_0,esk1_0),esk3_0),esk2_0)
& mult(esk4_0,mult(esk6_0,mult(esk5_0,esk6_0))) != mult(mult(mult(esk4_0,esk6_0),esk5_0),esk6_0)
& mult(mult(esk9_0,esk7_0),mult(esk8_0,esk9_0)) != mult(mult(esk9_0,mult(esk7_0,esk8_0)),esk9_0)
& mult(mult(esk12_0,esk10_0),mult(esk11_0,esk12_0)) != mult(esk12_0,mult(mult(esk10_0,esk11_0),esk12_0)) ),
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_14])])])])]) ).
cnf(c_0_22,plain,
mult(mult(X1,X2),i(X2)) = X1,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( mult(i(X1),mult(X1,X2)) = X2
| mult(X1,X2) = mult(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
i(i(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_17]),c_0_18]) ).
cnf(c_0_25,plain,
mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(mult(X2,X3),X2)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
mult(unit,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
mult(esk4_0,mult(esk6_0,mult(esk5_0,esk6_0))) != mult(mult(mult(esk4_0,esk6_0),esk5_0),esk6_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,plain,
( mult(X1,mult(i(X1),mult(X2,X1))) = mult(X2,X1)
| mult(i(X1),mult(X2,X1)) = X2 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_29,plain,
mult(i(X1),mult(mult(X1,X2),X1)) = mult(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_13]),c_0_26]) ).
fof(c_0_30,plain,
! [X3] : mult(X3,unit) = X3,
inference(variable_rename,[status(thm)],[f05]) ).
cnf(c_0_31,negated_conjecture,
mult(esk4_0,mult(mult(esk6_0,esk5_0),esk6_0)) != mult(esk4_0,mult(esk6_0,mult(esk5_0,esk6_0))),
inference(rw,[status(thm)],[c_0_27,c_0_25]) ).
cnf(c_0_32,plain,
( mult(mult(X1,X2),X1) = mult(X1,mult(X2,X1))
| mult(X2,X1) = mult(X1,X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
mult(X1,unit) = X1,
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,negated_conjecture,
( mult(i(esk6_0),mult(esk6_0,mult(esk6_0,esk5_0))) = mult(esk6_0,esk5_0)
| mult(esk4_0,mult(esk6_0,mult(esk5_0,esk6_0))) != mult(esk4_0,mult(esk6_0,mult(esk6_0,esk5_0))) ),
inference(spm,[status(thm)],[c_0_31,c_0_23]) ).
cnf(c_0_35,negated_conjecture,
mult(esk5_0,esk6_0) = mult(esk6_0,esk5_0),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_33]),c_0_33]) ).
cnf(c_0_37,negated_conjecture,
mult(i(esk6_0),mult(esk6_0,mult(esk6_0,esk5_0))) = mult(esk6_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]) ).
cnf(c_0_38,negated_conjecture,
mult(mult(esk6_0,esk5_0),i(esk6_0)) = esk5_0,
inference(spm,[status(thm)],[c_0_22,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
mult(esk4_0,mult(mult(esk6_0,esk5_0),esk6_0)) != mult(esk4_0,mult(esk6_0,mult(esk6_0,esk5_0))),
inference(rw,[status(thm)],[c_0_31,c_0_35]) ).
cnf(c_0_40,negated_conjecture,
mult(mult(esk6_0,esk5_0),esk6_0) = mult(esk5_0,mult(esk6_0,esk6_0)),
inference(spm,[status(thm)],[c_0_36,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
mult(mult(esk6_0,mult(esk6_0,esk5_0)),i(esk6_0)) = mult(esk6_0,esk5_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_37]),c_0_24]),c_0_38]) ).
cnf(c_0_42,negated_conjecture,
mult(esk4_0,mult(esk5_0,mult(esk6_0,esk6_0))) != mult(esk4_0,mult(esk6_0,mult(esk6_0,esk5_0))),
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,negated_conjecture,
mult(esk5_0,mult(esk6_0,esk6_0)) = mult(esk6_0,mult(esk6_0,esk5_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_41]),c_0_24]),c_0_40]) ).
cnf(c_0_44,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP748+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n026.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 : Mon Jun 13 21:51:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.41 # Preprocessing time : 0.014 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 45
% 0.23/1.41 # Proof object clause steps : 26
% 0.23/1.41 # Proof object formula steps : 19
% 0.23/1.41 # Proof object conjectures : 15
% 0.23/1.41 # Proof object clause conjectures : 12
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 9
% 0.23/1.41 # Proof object initial formulas used : 9
% 0.23/1.41 # Proof object generating inferences : 12
% 0.23/1.41 # Proof object simplifying inferences : 15
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 12
% 0.23/1.41 # Removed by relevancy pruning/SinE : 0
% 0.23/1.41 # Initial clauses : 15
% 0.23/1.41 # Removed in clause preprocessing : 0
% 0.23/1.41 # Initial clauses in saturation : 15
% 0.23/1.41 # Processed clauses : 180
% 0.23/1.41 # ...of these trivial : 22
% 0.23/1.41 # ...subsumed : 30
% 0.23/1.41 # ...remaining for further processing : 128
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 0
% 0.23/1.41 # Backward-rewritten : 48
% 0.23/1.41 # Generated clauses : 4514
% 0.23/1.41 # ...of the previous two non-trivial : 3894
% 0.23/1.41 # Contextual simplify-reflections : 0
% 0.23/1.41 # Paramodulations : 4514
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 80
% 0.23/1.41 # Positive orientable unit clauses : 46
% 0.23/1.41 # Positive unorientable unit clauses: 2
% 0.23/1.41 # Negative unit clauses : 3
% 0.23/1.41 # Non-unit-clauses : 29
% 0.23/1.41 # Current number of unprocessed clauses: 3008
% 0.23/1.41 # ...number of literals in the above : 5819
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 48
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 844
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 758
% 0.23/1.41 # Non-unit clause-clause subsumptions : 28
% 0.23/1.41 # Unit Clause-clause subsumption calls : 784
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 134
% 0.23/1.41 # BW rewrite match successes : 34
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 92274
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.088 s
% 0.23/1.41 # System time : 0.006 s
% 0.23/1.41 # Total time : 0.094 s
% 0.23/1.41 # Maximum resident set size: 6288 pages
% 0.23/23.40 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------