TSTP Solution File: GRP711+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP711+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n017.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 0.26s 1.44s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 23 unt; 0 def)
% Number of atoms : 53 ( 52 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 31 ( 11 ~; 11 |; 5 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f01,axiom,
! [X1] : mult(X1,unit) = X1,
file('/export/starexec/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f03) ).
fof(goals,conjecture,
! [X4,X5,X6] :
( ( mult(X4,X5) = mult(X4,X6)
=> X5 = X6 )
& ( mult(X5,X4) = mult(X6,X4)
=> X5 = X6 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(f04,axiom,
! [X1] : mult(X1,i(X1)) = unit,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f04) ).
fof(f02,axiom,
! [X1] : mult(unit,X1) = X1,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f02) ).
fof(f05,axiom,
! [X1] : mult(i(X1),X1) = unit,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f05) ).
fof(c_0_6,plain,
! [X2] : mult(X2,unit) = X2,
inference(variable_rename,[status(thm)],[f01]) ).
fof(c_0_7,plain,
! [X4,X5,X6] : mult(X6,mult(X5,mult(X5,X4))) = mult(mult(mult(X6,X5),X5),X4),
inference(variable_rename,[status(thm)],[f03]) ).
fof(c_0_8,negated_conjecture,
~ ! [X4,X5,X6] :
( ( mult(X4,X5) = mult(X4,X6)
=> X5 = X6 )
& ( mult(X5,X4) = mult(X6,X4)
=> X5 = X6 ) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_9,plain,
mult(X1,unit) = X1,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
mult(X1,mult(X2,mult(X2,X3))) = mult(mult(mult(X1,X2),X2),X3),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_11,negated_conjecture,
( ( mult(esk5_0,esk4_0) = mult(esk6_0,esk4_0)
| mult(esk1_0,esk2_0) = mult(esk1_0,esk3_0) )
& ( esk5_0 != esk6_0
| mult(esk1_0,esk2_0) = mult(esk1_0,esk3_0) )
& ( mult(esk5_0,esk4_0) = mult(esk6_0,esk4_0)
| esk2_0 != esk3_0 )
& ( esk5_0 != esk6_0
| esk2_0 != esk3_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])]) ).
cnf(c_0_12,plain,
mult(mult(X1,X2),X2) = mult(X1,mult(X2,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( mult(esk1_0,esk2_0) = mult(esk1_0,esk3_0)
| mult(esk5_0,esk4_0) = mult(esk6_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X2] : mult(X2,i(X2)) = unit,
inference(variable_rename,[status(thm)],[f04]) ).
fof(c_0_15,plain,
! [X2] : mult(unit,X2) = X2,
inference(variable_rename,[status(thm)],[f02]) ).
fof(c_0_16,plain,
! [X2] : mult(i(X2),X2) = unit,
inference(variable_rename,[status(thm)],[f05]) ).
cnf(c_0_17,plain,
mult(mult(X1,mult(X2,X2)),X3) = mult(X1,mult(X2,mult(X2,X3))),
inference(rw,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_18,negated_conjecture,
( mult(esk5_0,mult(esk4_0,esk4_0)) = mult(esk6_0,mult(esk4_0,esk4_0))
| mult(esk1_0,esk2_0) = mult(esk1_0,esk3_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_12]) ).
cnf(c_0_19,plain,
mult(X1,i(X1)) = unit,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
mult(unit,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( mult(esk5_0,esk4_0) = mult(esk6_0,esk4_0)
| esk2_0 != esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22,plain,
mult(i(X1),X1) = unit,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
( mult(esk5_0,mult(esk4_0,mult(esk4_0,X1))) = mult(esk6_0,mult(esk4_0,mult(esk4_0,X1)))
| mult(esk1_0,esk2_0) = mult(esk1_0,esk3_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_17]) ).
cnf(c_0_24,plain,
mult(X1,mult(i(X1),i(X1))) = i(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_19]),c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( mult(esk1_0,esk2_0) = mult(esk1_0,esk3_0)
| esk5_0 != esk6_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_26,negated_conjecture,
( mult(esk5_0,mult(esk4_0,mult(esk4_0,X1))) = mult(esk6_0,mult(esk4_0,mult(esk4_0,X1)))
| esk2_0 != esk3_0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_21]),c_0_10]) ).
cnf(c_0_27,plain,
mult(X1,mult(X2,mult(X2,i(mult(mult(X1,X2),X2))))) = unit,
inference(spm,[status(thm)],[c_0_19,c_0_10]) ).
cnf(c_0_28,negated_conjecture,
( esk2_0 != esk3_0
| esk5_0 != esk6_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_29,plain,
mult(i(mult(X1,X1)),mult(X1,mult(X1,X2))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_22]),c_0_20]) ).
cnf(c_0_30,negated_conjecture,
mult(esk1_0,esk2_0) = mult(esk1_0,esk3_0),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_19]),c_0_9]),c_0_19]),c_0_9]),c_0_25]) ).
cnf(c_0_31,negated_conjecture,
esk2_0 != esk3_0,
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_9]),c_0_9]),c_0_28]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_29]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP711+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : run_ET %s %d
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jun 13 08:35:52 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.26/1.44 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.26/1.44 # Preprocessing time : 0.013 s
% 0.26/1.44
% 0.26/1.44 # Proof found!
% 0.26/1.44 # SZS status Theorem
% 0.26/1.44 # SZS output start CNFRefutation
% See solution above
% 0.26/1.44 # Proof object total steps : 33
% 0.26/1.44 # Proof object clause steps : 20
% 0.26/1.44 # Proof object formula steps : 13
% 0.26/1.44 # Proof object conjectures : 13
% 0.26/1.44 # Proof object clause conjectures : 10
% 0.26/1.44 # Proof object formula conjectures : 3
% 0.26/1.44 # Proof object initial clauses used : 9
% 0.26/1.44 # Proof object initial formulas used : 6
% 0.26/1.44 # Proof object generating inferences : 10
% 0.26/1.44 # Proof object simplifying inferences : 17
% 0.26/1.44 # Training examples: 0 positive, 0 negative
% 0.26/1.44 # Parsed axioms : 6
% 0.26/1.44 # Removed by relevancy pruning/SinE : 0
% 0.26/1.44 # Initial clauses : 9
% 0.26/1.44 # Removed in clause preprocessing : 0
% 0.26/1.44 # Initial clauses in saturation : 9
% 0.26/1.44 # Processed clauses : 53
% 0.26/1.44 # ...of these trivial : 3
% 0.26/1.44 # ...subsumed : 14
% 0.26/1.44 # ...remaining for further processing : 36
% 0.26/1.44 # Other redundant clauses eliminated : 0
% 0.26/1.44 # Clauses deleted for lack of memory : 0
% 0.26/1.44 # Backward-subsumed : 6
% 0.26/1.44 # Backward-rewritten : 5
% 0.26/1.44 # Generated clauses : 271
% 0.26/1.44 # ...of the previous two non-trivial : 187
% 0.26/1.44 # Contextual simplify-reflections : 6
% 0.26/1.44 # Paramodulations : 271
% 0.26/1.44 # Factorizations : 0
% 0.26/1.44 # Equation resolutions : 0
% 0.26/1.44 # Current number of processed clauses : 25
% 0.26/1.44 # Positive orientable unit clauses : 19
% 0.26/1.44 # Positive unorientable unit clauses: 0
% 0.26/1.44 # Negative unit clauses : 1
% 0.26/1.44 # Non-unit-clauses : 5
% 0.26/1.44 # Current number of unprocessed clauses: 103
% 0.26/1.44 # ...number of literals in the above : 115
% 0.26/1.44 # Current number of archived formulas : 0
% 0.26/1.44 # Current number of archived clauses : 11
% 0.26/1.44 # Clause-clause subsumption calls (NU) : 65
% 0.26/1.44 # Rec. Clause-clause subsumption calls : 65
% 0.26/1.44 # Non-unit clause-clause subsumptions : 10
% 0.26/1.44 # Unit Clause-clause subsumption calls : 34
% 0.26/1.44 # Rewrite failures with RHS unbound : 0
% 0.26/1.44 # BW rewrite match attempts : 33
% 0.26/1.44 # BW rewrite match successes : 5
% 0.26/1.44 # Condensation attempts : 0
% 0.26/1.44 # Condensation successes : 0
% 0.26/1.44 # Termbank termtop insertions : 5340
% 0.26/1.44
% 0.26/1.44 # -------------------------------------------------
% 0.26/1.44 # User time : 0.018 s
% 0.26/1.44 # System time : 0.001 s
% 0.26/1.44 # Total time : 0.019 s
% 0.26/1.44 # Maximum resident set size: 3028 pages
% 0.26/23.44 eprover: CPU time limit exceeded, terminating
% 0.26/23.44 eprover: CPU time limit exceeded, terminating
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50 eprover: No such file or directory
% 0.26/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.51 eprover: No such file or directory
% 0.26/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.51 eprover: No such file or directory
% 0.26/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.52 eprover: No such file or directory
%------------------------------------------------------------------------------