%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP747+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n008.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 0.16s 1.34s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 31 ( 23 unt; 0 def)
% Number of atoms : 47 ( 46 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 22 ( 6 ~; 11 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f06,axiom,
! [X2] : mult(unit,X2) = X2,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f06) ).
fof(f08,axiom,
! [X4,X5,X6] :
( ( mult(mult(X4,X5),X6) = mult(X4,mult(X6,X5))
& mult(mult(X4,X6),X5) = mult(X4,mult(X5,X6)) )
| ( mult(mult(X4,X5),X6) = mult(mult(X4,X6),X5)
& mult(X4,mult(X5,X6)) = mult(X4,mult(X6,X5)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f08) ).
fof(f07,axiom,
! [X3,X1,X2] : mult(mult(mult(X2,X1),X3),X1) = mult(X2,mult(mult(X1,X3),X1)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f07) ).
fof(f02,axiom,
! [X1,X2] : ld(X2,mult(X2,X1)) = X1,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',f02) ).
fof(goals,conjecture,
mult(mult(a,b),c) = mult(a,mult(b,c)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(c_0_5,plain,
! [X3] : mult(unit,X3) = X3,
inference(variable_rename,[status(thm)],[f06]) ).
fof(c_0_6,plain,
! [X7,X8,X9] :
( ( mult(mult(X7,X8),X9) = mult(mult(X7,X9),X8)
| mult(mult(X7,X8),X9) = mult(X7,mult(X9,X8)) )
& ( mult(X7,mult(X8,X9)) = mult(X7,mult(X9,X8))
| mult(mult(X7,X8),X9) = mult(X7,mult(X9,X8)) )
& ( mult(mult(X7,X8),X9) = mult(mult(X7,X9),X8)
| mult(mult(X7,X9),X8) = mult(X7,mult(X8,X9)) )
& ( mult(X7,mult(X8,X9)) = mult(X7,mult(X9,X8))
| mult(mult(X7,X9),X8) = mult(X7,mult(X8,X9)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[f08])]) ).
fof(c_0_7,plain,
! [X4,X5,X6] : mult(mult(mult(X6,X5),X4),X5) = mult(X6,mult(mult(X5,X4),X5)),
inference(variable_rename,[status(thm)],[f07]) ).
cnf(c_0_8,plain,
mult(unit,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X3,X2))
| mult(X1,mult(X3,X2)) = mult(X1,mult(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(mult(X2,X3),X2)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
mult(X1,X2) = mult(X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_8]),c_0_8]),c_0_8])]) ).
fof(c_0_12,plain,
! [X3,X4] : ld(X4,mult(X4,X3)) = X3,
inference(variable_rename,[status(thm)],[f02]) ).
cnf(c_0_13,plain,
mult(X1,mult(mult(X2,X1),X3)) = mult(X2,mult(X1,mult(X1,X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_11]) ).
cnf(c_0_14,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X3,X2))
| mult(mult(X1,X3),X2) = mult(mult(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_15,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_16,plain,
ld(X1,mult(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
mult(X1,mult(mult(X1,X2),X3)) = mult(X2,mult(X1,mult(X1,X3))),
inference(spm,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_18,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X3,X2))
| mult(mult(X1,X3),X2) != mult(X1,mult(X3,X2)) ),
inference(ef,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( mult(X1,mult(X2,X3)) = mult(X2,mult(X1,X3))
| mult(mult(X2,X1),X3) = mult(X1,mult(X2,X3)) ),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
fof(c_0_20,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
ld(X1,mult(X2,mult(X1,mult(X1,X3)))) = mult(mult(X2,X1),X3),
inference(spm,[status(thm)],[c_0_16,c_0_13]) ).
cnf(c_0_22,plain,
mult(X1,mult(X2,mult(X1,X3))) = mult(X3,mult(X1,mult(X1,X2))),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_23,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X3,X2))
| mult(X2,mult(X1,X3)) != mult(X1,mult(X3,X2)) ),
inference(spm,[status(thm)],[c_0_18,c_0_11]) ).
cnf(c_0_24,plain,
( mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3))
| mult(X1,mult(X2,X3)) = mult(X2,mult(X1,X3)) ),
inference(spm,[status(thm)],[c_0_19,c_0_11]) ).
cnf(c_0_25,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
mult(X1,mult(X2,X3)) = mult(mult(X3,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_16]) ).
cnf(c_0_27,plain,
mult(mult(X1,X2),X3) = mult(X1,mult(X2,X3)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_11]),c_0_24]) ).
cnf(c_0_28,negated_conjecture,
mult(c,mult(a,b)) != mult(a,mult(b,c)),
inference(rw,[status(thm)],[c_0_25,c_0_11]) ).
cnf(c_0_29,plain,
mult(X1,mult(X2,X3)) = mult(X3,mult(X2,X1)),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(ar,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29]),c_0_11,c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : GRP747+1 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.09 % Command : run_ET %s %d
% 0.08/0.28 % Computer : n008.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Tue Jun 14 07:15:22 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.16/1.34 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.16/1.34 # Preprocessing time : 0.012 s
% 0.16/1.34
% 0.16/1.34 # Proof found!
% 0.16/1.34 # SZS status Theorem
% 0.16/1.34 # SZS output start CNFRefutation
% See solution above
% 0.16/1.34 # Proof object total steps : 31
% 0.16/1.34 # Proof object clause steps : 20
% 0.16/1.34 # Proof object formula steps : 11
% 0.16/1.34 # Proof object conjectures : 6
% 0.16/1.34 # Proof object clause conjectures : 3
% 0.16/1.34 # Proof object formula conjectures : 3
% 0.16/1.34 # Proof object initial clauses used : 6
% 0.16/1.34 # Proof object initial formulas used : 5
% 0.16/1.34 # Proof object generating inferences : 10
% 0.16/1.34 # Proof object simplifying inferences : 12
% 0.16/1.34 # Training examples: 0 positive, 0 negative
% 0.16/1.34 # Parsed axioms : 9
% 0.16/1.34 # Removed by relevancy pruning/SinE : 0
% 0.16/1.34 # Initial clauses : 12
% 0.16/1.34 # Removed in clause preprocessing : 0
% 0.16/1.34 # Initial clauses in saturation : 12
% 0.16/1.34 # Processed clauses : 309
% 0.16/1.34 # ...of these trivial : 30
% 0.16/1.34 # ...subsumed : 164
% 0.16/1.34 # ...remaining for further processing : 115
% 0.16/1.34 # Other redundant clauses eliminated : 0
% 0.16/1.34 # Clauses deleted for lack of memory : 0
% 0.16/1.34 # Backward-subsumed : 4
% 0.16/1.34 # Backward-rewritten : 75
% 0.16/1.34 # Generated clauses : 23075
% 0.16/1.34 # ...of the previous two non-trivial : 21725
% 0.16/1.34 # Contextual simplify-reflections : 1
% 0.16/1.34 # Paramodulations : 23050
% 0.16/1.34 # Factorizations : 23
% 0.16/1.34 # Equation resolutions : 2
% 0.16/1.34 # Current number of processed clauses : 36
% 0.16/1.34 # Positive orientable unit clauses : 26
% 0.16/1.34 # Positive unorientable unit clauses: 9
% 0.16/1.34 # Negative unit clauses : 0
% 0.16/1.34 # Non-unit-clauses : 1
% 0.16/1.34 # Current number of unprocessed clauses: 1099
% 0.16/1.34 # ...number of literals in the above : 1228
% 0.16/1.34 # Current number of archived formulas : 0
% 0.16/1.34 # Current number of archived clauses : 79
% 0.16/1.34 # Clause-clause subsumption calls (NU) : 676
% 0.16/1.34 # Rec. Clause-clause subsumption calls : 560
% 0.16/1.34 # Non-unit clause-clause subsumptions : 13
% 0.16/1.34 # Unit Clause-clause subsumption calls : 573
% 0.16/1.34 # Rewrite failures with RHS unbound : 0
% 0.16/1.34 # BW rewrite match attempts : 997
% 0.16/1.34 # BW rewrite match successes : 309
% 0.16/1.34 # Condensation attempts : 0
% 0.16/1.34 # Condensation successes : 0
% 0.16/1.34 # Termbank termtop insertions : 474509
% 0.16/1.34
% 0.16/1.34 # -------------------------------------------------
% 0.16/1.34 # User time : 0.447 s
% 0.16/1.34 # System time : 0.012 s
% 0.16/1.34 # Total time : 0.459 s
% 0.16/1.34 # Maximum resident set size: 21516 pages
% 0.16/23.33 eprover: CPU time limit exceeded, terminating
% 0.16/23.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.35 eprover: No such file or directory
% 0.16/23.35 eprover: CPU time limit exceeded, terminating
% 0.16/23.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.35 eprover: No such file or directory
% 0.16/23.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.36 eprover: No such file or directory
% 0.16/23.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.36 eprover: No such file or directory
% 0.16/23.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.36 eprover: No such file or directory
% 0.16/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.37 eprover: No such file or directory
% 0.16/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.37 eprover: No such file or directory
% 0.16/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.37 eprover: No such file or directory
% 0.16/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.37 eprover: No such file or directory
% 0.16/23.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.37 eprover: No such file or directory
% 0.16/23.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.38 eprover: No such file or directory
% 0.16/23.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.38 eprover: No such file or directory
% 0.16/23.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.38 eprover: No such file or directory
% 0.16/23.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.38 eprover: No such file or directory
% 0.16/23.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.38 eprover: No such file or directory
% 0.16/23.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.39 eprover: No such file or directory
% 0.16/23.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.39 eprover: No such file or directory
% 0.16/23.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.39 eprover: No such file or directory
% 0.16/23.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.16/23.39 eprover: No such file or directory
% 0.16/23.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.40 eprover: No such file or directory
% 0.16/23.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.40 eprover: No such file or directory
% 0.16/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.16/23.41 eprover: No such file or directory
%------------------------------------------------------------------------------