TSTP Solution File: KLE060+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KLE060+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 01:55:40 EDT 2022
% Result : Theorem 0.23s 2.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 62 ( 62 unt; 0 def)
% Number of atoms : 62 ( 61 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 121 ( 13 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(domain2,axiom,
! [X4,X5] : domain(multiplication(X4,X5)) = domain(multiplication(X4,domain(X5))),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain2) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(domain3,axiom,
! [X4] : addition(domain(X4),one) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain3) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(domain5,axiom,
! [X4,X5] : domain(addition(X4,X5)) = addition(domain(X4),domain(X5)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain5) ).
fof(right_distributivity,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(left_distributivity,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(multiplicative_associativity,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
fof(domain1,axiom,
! [X4] : addition(X4,multiplication(domain(X4),X4)) = multiplication(domain(X4),X4),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain1) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(goals,conjecture,
! [X4,X5] : domain(multiplication(domain(X4),X5)) = multiplication(domain(X4),domain(X5)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(c_0_12,plain,
! [X6,X7] : domain(multiplication(X6,X7)) = domain(multiplication(X6,domain(X7))),
inference(variable_rename,[status(thm)],[domain2]) ).
fof(c_0_13,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
fof(c_0_14,plain,
! [X5] : addition(domain(X5),one) = one,
inference(variable_rename,[status(thm)],[domain3]) ).
fof(c_0_15,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_16,plain,
! [X6,X7] : domain(addition(X6,X7)) = addition(domain(X6),domain(X7)),
inference(variable_rename,[status(thm)],[domain5]) ).
cnf(c_0_17,plain,
domain(multiplication(X1,X2)) = domain(multiplication(X1,domain(X2))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_19,plain,
! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
inference(variable_rename,[status(thm)],[right_distributivity]) ).
cnf(c_0_20,plain,
addition(domain(X1),one) = one,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_22,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_23,plain,
! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
cnf(c_0_24,plain,
domain(addition(X1,X2)) = addition(domain(X1),domain(X2)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
domain(domain(X1)) = domain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_18]) ).
cnf(c_0_26,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
addition(one,domain(X1)) = one,
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
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,
! [X5] : addition(X5,multiplication(domain(X5),X5)) = multiplication(domain(X5),X5),
inference(variable_rename,[status(thm)],[domain1]) ).
cnf(c_0_31,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,plain,
domain(addition(domain(X1),X2)) = domain(addition(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_24]) ).
cnf(c_0_33,plain,
addition(X1,multiplication(X1,domain(X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_28]) ).
cnf(c_0_34,plain,
domain(addition(X1,multiplication(X2,domain(X3)))) = domain(addition(X1,multiplication(X2,X3))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_17]),c_0_24]) ).
fof(c_0_35,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
cnf(c_0_36,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
addition(X1,multiplication(domain(X1),X1)) = multiplication(domain(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
addition(X1,multiplication(domain(X2),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_27]),c_0_18]),c_0_18]) ).
cnf(c_0_39,plain,
multiplication(domain(addition(X1,X2)),X3) = addition(multiplication(domain(X1),X3),multiplication(domain(X2),X3)),
inference(spm,[status(thm)],[c_0_31,c_0_24]) ).
cnf(c_0_40,plain,
domain(addition(X1,multiplication(domain(X1),X2))) = domain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_25]),c_0_34]) ).
cnf(c_0_41,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
addition(multiplication(X1,X2),multiplication(X1,multiplication(domain(X3),X2))) = multiplication(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_33]),c_0_36]) ).
cnf(c_0_43,plain,
multiplication(domain(X1),X1) = X1,
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,plain,
addition(multiplication(domain(X1),X2),multiplication(domain(multiplication(domain(X1),X3)),X2)) = multiplication(domain(X1),X2),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,plain,
addition(one,addition(domain(X1),X2)) = addition(one,X2),
inference(spm,[status(thm)],[c_0_41,c_0_27]) ).
cnf(c_0_46,plain,
multiplication(domain(multiplication(domain(X1),X2)),X2) = multiplication(domain(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_21]),c_0_44]) ).
cnf(c_0_47,plain,
addition(multiplication(X1,domain(X2)),multiplication(domain(multiplication(X1,X2)),multiplication(X1,domain(X2)))) = multiplication(domain(multiplication(X1,X2)),multiplication(X1,domain(X2))),
inference(spm,[status(thm)],[c_0_37,c_0_17]) ).
cnf(c_0_48,plain,
addition(one,multiplication(domain(X1),domain(X2))) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_38]),c_0_27]) ).
fof(c_0_49,negated_conjecture,
~ ! [X4,X5] : domain(multiplication(domain(X4),X5)) = multiplication(domain(X4),domain(X5)),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_50,plain,
multiplication(X1,domain(addition(X2,X3))) = addition(multiplication(X1,domain(X2)),multiplication(X1,domain(X3))),
inference(spm,[status(thm)],[c_0_26,c_0_24]) ).
cnf(c_0_51,plain,
multiplication(domain(multiplication(domain(X1),X2)),domain(X2)) = multiplication(domain(X1),domain(X2)),
inference(spm,[status(thm)],[c_0_46,c_0_17]) ).
cnf(c_0_52,plain,
multiplication(domain(X1),multiplication(X1,X2)) = multiplication(X1,X2),
inference(spm,[status(thm)],[c_0_36,c_0_43]) ).
cnf(c_0_53,plain,
multiplication(domain(X1),domain(X1)) = domain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_18]),c_0_18]),c_0_33]),c_0_18]) ).
cnf(c_0_54,plain,
addition(X1,multiplication(X1,multiplication(domain(X2),domain(X3)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_48]),c_0_28]),c_0_28]) ).
fof(c_0_55,negated_conjecture,
domain(multiplication(domain(esk1_0),esk2_0)) != multiplication(domain(esk1_0),domain(esk2_0)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])]) ).
cnf(c_0_56,plain,
addition(multiplication(X1,domain(X2)),multiplication(X1,domain(multiplication(domain(X3),X2)))) = multiplication(X1,domain(X2)),
inference(spm,[status(thm)],[c_0_50,c_0_38]) ).
cnf(c_0_57,plain,
multiplication(domain(X1),domain(multiplication(X1,X2))) = domain(multiplication(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).
cnf(c_0_58,plain,
addition(domain(multiplication(domain(X1),X2)),multiplication(domain(X1),domain(X2))) = domain(multiplication(domain(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_43]),c_0_17]),c_0_17]) ).
cnf(c_0_59,negated_conjecture,
domain(multiplication(domain(esk1_0),esk2_0)) != multiplication(domain(esk1_0),domain(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_60,plain,
multiplication(domain(X1),domain(X2)) = domain(multiplication(domain(X1),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_25]),c_0_25]),c_0_21]),c_0_58]) ).
cnf(c_0_61,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_60])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE060+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 16 07:45:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.23/2.42 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/2.42 # Preprocessing time : 0.014 s
% 0.23/2.42
% 0.23/2.42 # Proof found!
% 0.23/2.42 # SZS status Theorem
% 0.23/2.42 # SZS output start CNFRefutation
% See solution above
% 0.23/2.42 # Proof object total steps : 62
% 0.23/2.42 # Proof object clause steps : 37
% 0.23/2.42 # Proof object formula steps : 25
% 0.23/2.42 # Proof object conjectures : 5
% 0.23/2.42 # Proof object clause conjectures : 2
% 0.23/2.42 # Proof object formula conjectures : 3
% 0.23/2.42 # Proof object initial clauses used : 12
% 0.23/2.42 # Proof object initial formulas used : 12
% 0.23/2.42 # Proof object generating inferences : 22
% 0.23/2.42 # Proof object simplifying inferences : 29
% 0.23/2.42 # Training examples: 0 positive, 0 negative
% 0.23/2.42 # Parsed axioms : 18
% 0.23/2.42 # Removed by relevancy pruning/SinE : 0
% 0.23/2.42 # Initial clauses : 19
% 0.23/2.42 # Removed in clause preprocessing : 0
% 0.23/2.42 # Initial clauses in saturation : 19
% 0.23/2.42 # Processed clauses : 2459
% 0.23/2.42 # ...of these trivial : 1256
% 0.23/2.42 # ...subsumed : 918
% 0.23/2.42 # ...remaining for further processing : 285
% 0.23/2.42 # Other redundant clauses eliminated : 0
% 0.23/2.42 # Clauses deleted for lack of memory : 0
% 0.23/2.42 # Backward-subsumed : 0
% 0.23/2.42 # Backward-rewritten : 88
% 0.23/2.42 # Generated clauses : 64615
% 0.23/2.42 # ...of the previous two non-trivial : 36947
% 0.23/2.42 # Contextual simplify-reflections : 0
% 0.23/2.42 # Paramodulations : 64615
% 0.23/2.42 # Factorizations : 0
% 0.23/2.42 # Equation resolutions : 0
% 0.23/2.42 # Current number of processed clauses : 197
% 0.23/2.42 # Positive orientable unit clauses : 182
% 0.23/2.42 # Positive unorientable unit clauses: 13
% 0.23/2.42 # Negative unit clauses : 0
% 0.23/2.42 # Non-unit-clauses : 2
% 0.23/2.42 # Current number of unprocessed clauses: 18459
% 0.23/2.42 # ...number of literals in the above : 18459
% 0.23/2.42 # Current number of archived formulas : 0
% 0.23/2.42 # Current number of archived clauses : 88
% 0.23/2.42 # Clause-clause subsumption calls (NU) : 0
% 0.23/2.42 # Rec. Clause-clause subsumption calls : 0
% 0.23/2.42 # Non-unit clause-clause subsumptions : 0
% 0.23/2.42 # Unit Clause-clause subsumption calls : 102
% 0.23/2.42 # Rewrite failures with RHS unbound : 529
% 0.23/2.42 # BW rewrite match attempts : 2983
% 0.23/2.42 # BW rewrite match successes : 555
% 0.23/2.42 # Condensation attempts : 0
% 0.23/2.42 # Condensation successes : 0
% 0.23/2.42 # Termbank termtop insertions : 1511891
% 0.23/2.42
% 0.23/2.42 # -------------------------------------------------
% 0.23/2.42 # User time : 1.149 s
% 0.23/2.42 # System time : 0.045 s
% 0.23/2.42 # Total time : 1.194 s
% 0.23/2.42 # Maximum resident set size: 86492 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------