TSTP Solution File: KLE088+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KLE088+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.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 01:55:48 EDT 2022
% Result : Theorem 0.15s 1.35s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 57 ( 54 unt; 0 def)
% Number of atoms : 60 ( 59 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 0 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 72 ( 1 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X4,X5] :
( multiplication(domain(X4),X5) = zero
=> addition(domain(X4),antidomain(X5)) = antidomain(X5) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
fof(domain3,axiom,
! [X4] : addition(antidomain(antidomain(X4)),antidomain(X4)) = one,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain3) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(multiplicative_right_identity,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(domain1,axiom,
! [X4] : multiplication(antidomain(X4),X4) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain1) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(domain4,axiom,
! [X4] : domain(X4) = antidomain(antidomain(X4)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain4) ).
fof(additive_associativity,axiom,
! [X3,X2,X1] : addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(additive_idempotence,axiom,
! [X1] : addition(X1,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(domain2,axiom,
! [X4,X5] : addition(antidomain(multiplication(X4,X5)),antidomain(multiplication(X4,antidomain(antidomain(X5))))) = antidomain(multiplication(X4,antidomain(antidomain(X5)))),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain2) ).
fof(multiplicative_left_identity,axiom,
! [X1] : multiplication(one,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(right_distributivity,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(left_distributivity,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(c_0_13,negated_conjecture,
~ ! [X4,X5] :
( multiplication(domain(X4),X5) = zero
=> addition(domain(X4),antidomain(X5)) = antidomain(X5) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_14,plain,
! [X5] : addition(antidomain(antidomain(X5)),antidomain(X5)) = 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,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[multiplicative_right_identity]) ).
fof(c_0_17,plain,
! [X5] : multiplication(antidomain(X5),X5) = zero,
inference(variable_rename,[status(thm)],[domain1]) ).
fof(c_0_18,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[additive_identity]) ).
fof(c_0_19,negated_conjecture,
( multiplication(domain(esk1_0),esk2_0) = zero
& addition(domain(esk1_0),antidomain(esk2_0)) != antidomain(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_20,plain,
! [X5] : domain(X5) = antidomain(antidomain(X5)),
inference(variable_rename,[status(thm)],[domain4]) ).
cnf(c_0_21,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
multiplication(antidomain(X1),X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_26,plain,
! [X4,X5,X6] : addition(X6,addition(X5,X4)) = addition(addition(X6,X5),X4),
inference(variable_rename,[status(thm)],[additive_associativity]) ).
fof(c_0_27,plain,
! [X2] : addition(X2,X2) = X2,
inference(variable_rename,[status(thm)],[additive_idempotence]) ).
fof(c_0_28,plain,
! [X6,X7] : addition(antidomain(multiplication(X6,X7)),antidomain(multiplication(X6,antidomain(antidomain(X7))))) = antidomain(multiplication(X6,antidomain(antidomain(X7)))),
inference(variable_rename,[status(thm)],[domain2]) ).
cnf(c_0_29,negated_conjecture,
multiplication(domain(esk1_0),esk2_0) = zero,
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,plain,
domain(X1) = antidomain(antidomain(X1)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_32,plain,
antidomain(one) = zero,
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_33,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_25,c_0_22]) ).
cnf(c_0_34,plain,
addition(X1,addition(X2,X3)) = addition(addition(X1,X2),X3),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
addition(X1,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_36,plain,
addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2))))) = antidomain(multiplication(X1,antidomain(antidomain(X2)))),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,negated_conjecture,
multiplication(antidomain(antidomain(esk1_0)),esk2_0) = zero,
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_38,plain,
antidomain(zero) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_39,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,negated_conjecture,
addition(one,antidomain(multiplication(antidomain(antidomain(esk1_0)),antidomain(antidomain(esk2_0))))) = antidomain(multiplication(antidomain(antidomain(esk1_0)),antidomain(antidomain(esk2_0)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_41,plain,
addition(one,antidomain(X1)) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_31]),c_0_22]) ).
fof(c_0_42,plain,
! [X2] : multiplication(one,X2) = X2,
inference(variable_rename,[status(thm)],[multiplicative_left_identity]) ).
fof(c_0_43,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_44,negated_conjecture,
antidomain(multiplication(antidomain(antidomain(esk1_0)),antidomain(antidomain(esk2_0)))) = one,
inference(rw,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,plain,
multiplication(one,X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_46,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_47,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_48,negated_conjecture,
multiplication(antidomain(antidomain(esk1_0)),antidomain(antidomain(esk2_0))) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_44]),c_0_45]) ).
cnf(c_0_49,negated_conjecture,
addition(domain(esk1_0),antidomain(esk2_0)) != antidomain(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_50,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_51,negated_conjecture,
multiplication(antidomain(antidomain(esk1_0)),addition(X1,antidomain(antidomain(esk2_0)))) = multiplication(antidomain(antidomain(esk1_0)),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_25]) ).
cnf(c_0_52,negated_conjecture,
addition(antidomain(antidomain(esk1_0)),antidomain(esk2_0)) != antidomain(esk2_0),
inference(rw,[status(thm)],[c_0_49,c_0_30]) ).
cnf(c_0_53,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(one,X2),X1),
inference(spm,[status(thm)],[c_0_50,c_0_45]) ).
cnf(c_0_54,negated_conjecture,
multiplication(antidomain(antidomain(esk1_0)),antidomain(esk2_0)) = antidomain(antidomain(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_31]),c_0_23]) ).
cnf(c_0_55,negated_conjecture,
addition(antidomain(esk2_0),antidomain(antidomain(esk1_0))) != antidomain(esk2_0),
inference(rw,[status(thm)],[c_0_52,c_0_22]) ).
cnf(c_0_56,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_41]),c_0_45]),c_0_55]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : KLE088+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.09 % Command : run_ET %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Thu Jun 16 08:27:59 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.15/1.35 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.15/1.35 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.15/1.35 # Preprocessing time : 0.010 s
% 0.15/1.35
% 0.15/1.35 # Proof found!
% 0.15/1.35 # SZS status Theorem
% 0.15/1.35 # SZS output start CNFRefutation
% See solution above
% 0.15/1.35 # Proof object total steps : 57
% 0.15/1.35 # Proof object clause steps : 30
% 0.15/1.35 # Proof object formula steps : 27
% 0.15/1.35 # Proof object conjectures : 14
% 0.15/1.35 # Proof object clause conjectures : 11
% 0.15/1.35 # Proof object formula conjectures : 3
% 0.15/1.35 # Proof object initial clauses used : 14
% 0.15/1.35 # Proof object initial formulas used : 13
% 0.15/1.35 # Proof object generating inferences : 11
% 0.15/1.35 # Proof object simplifying inferences : 14
% 0.15/1.35 # Training examples: 0 positive, 0 negative
% 0.15/1.35 # Parsed axioms : 21
% 0.15/1.35 # Removed by relevancy pruning/SinE : 2
% 0.15/1.35 # Initial clauses : 20
% 0.15/1.35 # Removed in clause preprocessing : 1
% 0.15/1.35 # Initial clauses in saturation : 19
% 0.15/1.35 # Processed clauses : 640
% 0.15/1.35 # ...of these trivial : 215
% 0.15/1.35 # ...subsumed : 54
% 0.15/1.35 # ...remaining for further processing : 371
% 0.15/1.35 # Other redundant clauses eliminated : 0
% 0.15/1.35 # Clauses deleted for lack of memory : 0
% 0.15/1.35 # Backward-subsumed : 0
% 0.15/1.35 # Backward-rewritten : 96
% 0.15/1.35 # Generated clauses : 18027
% 0.15/1.35 # ...of the previous two non-trivial : 11968
% 0.15/1.35 # Contextual simplify-reflections : 0
% 0.15/1.35 # Paramodulations : 18027
% 0.15/1.35 # Factorizations : 0
% 0.15/1.35 # Equation resolutions : 0
% 0.15/1.35 # Current number of processed clauses : 275
% 0.15/1.35 # Positive orientable unit clauses : 260
% 0.15/1.35 # Positive unorientable unit clauses: 14
% 0.15/1.35 # Negative unit clauses : 1
% 0.15/1.35 # Non-unit-clauses : 0
% 0.15/1.35 # Current number of unprocessed clauses: 9461
% 0.15/1.35 # ...number of literals in the above : 9461
% 0.15/1.35 # Current number of archived formulas : 0
% 0.15/1.35 # Current number of archived clauses : 97
% 0.15/1.35 # Clause-clause subsumption calls (NU) : 0
% 0.15/1.35 # Rec. Clause-clause subsumption calls : 0
% 0.15/1.35 # Non-unit clause-clause subsumptions : 0
% 0.15/1.35 # Unit Clause-clause subsumption calls : 153
% 0.15/1.35 # Rewrite failures with RHS unbound : 0
% 0.15/1.35 # BW rewrite match attempts : 951
% 0.15/1.35 # BW rewrite match successes : 212
% 0.15/1.35 # Condensation attempts : 0
% 0.15/1.35 # Condensation successes : 0
% 0.15/1.35 # Termbank termtop insertions : 315494
% 0.15/1.35
% 0.15/1.35 # -------------------------------------------------
% 0.15/1.35 # User time : 0.205 s
% 0.15/1.35 # System time : 0.008 s
% 0.15/1.35 # Total time : 0.213 s
% 0.15/1.35 # Maximum resident set size: 15488 pages
% 0.15/23.38 eprover: CPU time limit exceeded, terminating
% 0.15/23.40 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.15/23.40 eprover: No such file or directory
% 0.15/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.15/23.41 eprover: No such file or directory
% 0.15/23.41 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.15/23.41 eprover: No such file or directory
% 0.15/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.15/23.42 eprover: No such file or directory
% 0.15/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.15/23.42 eprover: No such file or directory
% 0.15/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.15/23.43 eprover: No such file or directory
% 0.15/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.15/23.43 eprover: No such file or directory
% 0.15/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.15/23.44 eprover: No such file or directory
% 0.15/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.15/23.44 eprover: No such file or directory
% 0.15/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.15/23.45 eprover: No such file or directory
% 0.15/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.15/23.45 eprover: No such file or directory
%------------------------------------------------------------------------------