TSTP Solution File: KLE160+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KLE160+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n024.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 : Sun Jul 17 01:56:20 EDT 2022
% Result : Theorem 0.22s 2.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 51 ( 40 unt; 0 def)
% Number of atoms : 64 ( 43 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 11 ~; 7 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 97 ( 2 sgn 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X4,X5,X6] :
( leq(multiplication(X4,X5),multiplication(X5,X6))
=> leq(multiplication(star(X4),X5),multiplication(X5,star(X6))) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',additive_associativity) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',additive_commutativity) ).
fof(distributivity1,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',distributivity1) ).
fof(star_unfold1,axiom,
! [X1] : addition(one,multiplication(X1,star(X1))) = star(X1),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',star_unfold1) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_right_identity) ).
fof(order,axiom,
! [X1,X2] :
( leq(X1,X2)
<=> addition(X1,X2) = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',order) ).
fof(star_induction1,axiom,
! [X1,X2,X3] :
( leq(addition(multiplication(X1,X3),X2),X3)
=> leq(multiplication(star(X1),X2),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',star_induction1) ).
fof(distributivity2,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',distributivity2) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',multiplicative_associativity) ).
fof(idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',idempotence) ).
fof(star_unfold2,axiom,
! [X1] : addition(one,multiplication(star(X1),X1)) = star(X1),
file('/export/starexec/sandbox/benchmark/Axioms/KLE004+0.ax',star_unfold2) ).
fof(c_0_12,negated_conjecture,
~ ! [X4,X5,X6] :
( leq(multiplication(X4,X5),multiplication(X5,X6))
=> leq(multiplication(star(X4),X5),multiplication(X5,star(X6))) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_13,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_14,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_15,plain,
! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
inference(variable_rename,[status(thm)],[distributivity1]) ).
fof(c_0_16,plain,
! [X2] : addition(one,multiplication(X2,star(X2))) = star(X2),
inference(variable_rename,[status(thm)],[star_unfold1]) ).
fof(c_0_17,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_18,plain,
! [X3,X4,X3,X4] :
( ( ~ leq(X3,X4)
| addition(X3,X4) = X4 )
& ( addition(X3,X4) != X4
| leq(X3,X4) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[order])])])]) ).
fof(c_0_19,negated_conjecture,
( leq(multiplication(esk1_0,esk2_0),multiplication(esk2_0,esk3_0))
& ~ leq(multiplication(star(esk1_0),esk2_0),multiplication(esk2_0,star(esk3_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_20,plain,
! [X4,X5,X6] :
( ~ leq(addition(multiplication(X4,X6),X5),X6)
| leq(multiplication(star(X4),X5),X6) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[star_induction1])]) ).
cnf(c_0_21,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
addition(one,multiplication(X1,star(X1))) = star(X1),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_26,plain,
! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
inference(variable_rename,[status(thm)],[distributivity2]) ).
cnf(c_0_27,plain,
( addition(X1,X2) = X2
| ~ leq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,negated_conjecture,
leq(multiplication(esk1_0,esk2_0),multiplication(esk2_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_29,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[multiplicative_associativity]) ).
fof(c_0_30,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[idempotence]) ).
fof(c_0_31,plain,
! [X2] : addition(one,multiplication(star(X2),X2)) = star(X2),
inference(variable_rename,[status(thm)],[star_unfold2]) ).
cnf(c_0_32,plain,
( leq(multiplication(star(X1),X2),X3)
| ~ leq(addition(multiplication(X1,X3),X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_33,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_34,plain,
addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_21]) ).
cnf(c_0_35,plain,
addition(X1,multiplication(X1,multiplication(X2,star(X2)))) = multiplication(X1,star(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_36,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37,negated_conjecture,
addition(multiplication(esk1_0,esk2_0),multiplication(esk2_0,esk3_0)) = multiplication(esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_38,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,plain,
addition(one,multiplication(star(X1),X1)) = star(X1),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,negated_conjecture,
~ leq(multiplication(star(esk1_0),esk2_0),multiplication(esk2_0,star(esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_42,plain,
( leq(multiplication(star(X1),X2),X3)
| addition(multiplication(X1,X3),addition(X2,X3)) != X3 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_21]) ).
cnf(c_0_43,plain,
addition(X1,addition(X2,multiplication(X1,multiplication(X3,star(X3))))) = addition(X2,multiplication(X1,star(X3))),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_44,negated_conjecture,
addition(multiplication(esk1_0,multiplication(esk2_0,X1)),multiplication(esk2_0,multiplication(esk3_0,X1))) = multiplication(esk2_0,multiplication(esk3_0,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_38]),c_0_38]) ).
cnf(c_0_45,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_21,c_0_39]) ).
cnf(c_0_46,plain,
addition(X1,multiplication(X1,multiplication(star(X2),X2))) = multiplication(X1,star(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_40]),c_0_25]) ).
cnf(c_0_47,negated_conjecture,
addition(esk2_0,addition(multiplication(esk2_0,star(esk3_0)),multiplication(esk1_0,multiplication(esk2_0,star(esk3_0))))) != multiplication(esk2_0,star(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_22]),c_0_21]) ).
cnf(c_0_48,negated_conjecture,
addition(multiplication(esk2_0,star(esk3_0)),multiplication(esk1_0,multiplication(esk2_0,star(esk3_0)))) = multiplication(esk2_0,star(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_35]),c_0_22]) ).
cnf(c_0_49,plain,
addition(X1,multiplication(X1,star(X2))) = multiplication(X1,star(X2)),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48]),c_0_49])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KLE160+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 07:27:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/2.40 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.22/2.40 # Preprocessing time : 0.014 s
% 0.22/2.40
% 0.22/2.40 # Proof found!
% 0.22/2.40 # SZS status Theorem
% 0.22/2.40 # SZS output start CNFRefutation
% See solution above
% 0.22/2.40 # Proof object total steps : 51
% 0.22/2.40 # Proof object clause steps : 26
% 0.22/2.40 # Proof object formula steps : 25
% 0.22/2.40 # Proof object conjectures : 10
% 0.22/2.40 # Proof object clause conjectures : 7
% 0.22/2.40 # Proof object formula conjectures : 3
% 0.22/2.40 # Proof object initial clauses used : 14
% 0.22/2.40 # Proof object initial formulas used : 12
% 0.22/2.40 # Proof object generating inferences : 11
% 0.22/2.40 # Proof object simplifying inferences : 14
% 0.22/2.40 # Training examples: 0 positive, 0 negative
% 0.22/2.40 # Parsed axioms : 19
% 0.22/2.40 # Removed by relevancy pruning/SinE : 0
% 0.22/2.40 # Initial clauses : 21
% 0.22/2.40 # Removed in clause preprocessing : 0
% 0.22/2.40 # Initial clauses in saturation : 21
% 0.22/2.40 # Processed clauses : 3213
% 0.22/2.40 # ...of these trivial : 233
% 0.22/2.40 # ...subsumed : 1343
% 0.22/2.40 # ...remaining for further processing : 1637
% 0.22/2.40 # Other redundant clauses eliminated : 0
% 0.22/2.40 # Clauses deleted for lack of memory : 0
% 0.22/2.40 # Backward-subsumed : 139
% 0.22/2.40 # Backward-rewritten : 243
% 0.22/2.40 # Generated clauses : 113450
% 0.22/2.40 # ...of the previous two non-trivial : 105293
% 0.22/2.40 # Contextual simplify-reflections : 434
% 0.22/2.40 # Paramodulations : 113416
% 0.22/2.40 # Factorizations : 0
% 0.22/2.40 # Equation resolutions : 6
% 0.22/2.40 # Current number of processed clauses : 1243
% 0.22/2.40 # Positive orientable unit clauses : 174
% 0.22/2.40 # Positive unorientable unit clauses: 9
% 0.22/2.40 # Negative unit clauses : 14
% 0.22/2.40 # Non-unit-clauses : 1046
% 0.22/2.40 # Current number of unprocessed clauses: 83215
% 0.22/2.40 # ...number of literals in the above : 212608
% 0.22/2.40 # Current number of archived formulas : 0
% 0.22/2.40 # Current number of archived clauses : 382
% 0.22/2.40 # Clause-clause subsumption calls (NU) : 112133
% 0.22/2.40 # Rec. Clause-clause subsumption calls : 102947
% 0.22/2.40 # Non-unit clause-clause subsumptions : 1538
% 0.22/2.40 # Unit Clause-clause subsumption calls : 8054
% 0.22/2.40 # Rewrite failures with RHS unbound : 0
% 0.22/2.40 # BW rewrite match attempts : 3163
% 0.22/2.40 # BW rewrite match successes : 734
% 0.22/2.40 # Condensation attempts : 0
% 0.22/2.40 # Condensation successes : 0
% 0.22/2.40 # Termbank termtop insertions : 2591073
% 0.22/2.40
% 0.22/2.40 # -------------------------------------------------
% 0.22/2.40 # User time : 1.375 s
% 0.22/2.40 # System time : 0.037 s
% 0.22/2.40 # Total time : 1.412 s
% 0.22/2.40 # Maximum resident set size: 98916 pages
% 0.24/23.39 eprover: CPU time limit exceeded, terminating
% 0.24/23.40 eprover: CPU time limit exceeded, terminating
% 0.24/23.40 eprover: CPU time limit exceeded, terminating
% 0.24/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.41 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: eprover: No such file or directory
% 0.24/23.44 Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
%------------------------------------------------------------------------------