TSTP Solution File: KLE026+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE026+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n012.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 01:49:41 EDT 2022
% Result : Theorem 5.05s 2.28s
% Output : CNFRefutation 5.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 32 ( 24 unt; 0 nHn; 18 RR)
% Number of literals : 40 ( 25 equ; 11 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tkrbiz8j/input.p',i_0_1) ).
cnf(i_0_3,plain,
addition(X1,X1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tkrbiz8j/input.p',i_0_3) ).
cnf(i_0_21,plain,
( addition(X1,X2) = one
| ~ complement(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tkrbiz8j/input.p',i_0_21) ).
cnf(i_0_19,plain,
( complement(esk4_1(X1),X1)
| ~ test(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tkrbiz8j/input.p',i_0_19) ).
cnf(i_0_10,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tkrbiz8j/input.p',i_0_10) ).
cnf(i_0_12,plain,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tkrbiz8j/input.p',i_0_12) ).
cnf(i_0_2,plain,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tkrbiz8j/input.p',i_0_2) ).
cnf(i_0_6,negated_conjecture,
multiplication(multiplication(esk2_0,esk1_0),esk3_0) = multiplication(esk2_0,esk1_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tkrbiz8j/input.p',i_0_6) ).
cnf(i_0_11,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tkrbiz8j/input.p',i_0_11) ).
cnf(i_0_8,negated_conjecture,
test(esk2_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tkrbiz8j/input.p',i_0_8) ).
cnf(i_0_5,negated_conjecture,
~ leq(multiplication(esk2_0,esk1_0),multiplication(esk1_0,esk3_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tkrbiz8j/input.p',i_0_5) ).
cnf(i_0_14,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tkrbiz8j/input.p',i_0_14) ).
cnf(c_0_34,plain,
addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
i_0_1 ).
cnf(c_0_35,plain,
addition(X1,X1) = X1,
i_0_3 ).
cnf(c_0_36,plain,
( addition(X1,X2) = one
| ~ complement(X2,X1) ),
i_0_21 ).
cnf(c_0_37,plain,
( complement(esk4_1(X1),X1)
| ~ test(X1) ),
i_0_19 ).
cnf(c_0_38,plain,
addition(X1,addition(X1,X2)) = addition(X1,X2),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,plain,
( addition(X1,esk4_1(X1)) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
i_0_10 ).
cnf(c_0_41,plain,
multiplication(one,X1) = X1,
i_0_12 ).
cnf(c_0_42,plain,
addition(X1,X2) = addition(X2,X1),
i_0_2 ).
cnf(c_0_43,negated_conjecture,
multiplication(multiplication(esk2_0,esk1_0),esk3_0) = multiplication(esk2_0,esk1_0),
i_0_6 ).
cnf(c_0_44,plain,
multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
i_0_11 ).
cnf(c_0_45,plain,
( addition(X1,one) = one
| ~ test(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_46,negated_conjecture,
test(esk2_0),
i_0_8 ).
cnf(c_0_47,negated_conjecture,
~ leq(multiplication(esk2_0,esk1_0),multiplication(esk1_0,esk3_0)),
i_0_5 ).
cnf(c_0_48,plain,
( leq(X1,X2)
| addition(X1,X2) != X2 ),
i_0_14 ).
cnf(c_0_49,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_50,negated_conjecture,
multiplication(esk2_0,multiplication(esk1_0,esk3_0)) = multiplication(esk2_0,esk1_0),
inference(rw,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,negated_conjecture,
addition(one,esk2_0) = one,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_42]) ).
cnf(c_0_52,negated_conjecture,
addition(multiplication(esk2_0,esk1_0),multiplication(esk1_0,esk3_0)) != multiplication(esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_42]),c_0_51]),c_0_41]),c_0_42]),c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE026+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n012.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 14:23:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 5.05/2.28 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 5.05/2.28 # Version: 2.1pre011
% 5.05/2.28 # Preprocessing time : 0.009 s
% 5.05/2.28
% 5.05/2.28 # Proof found!
% 5.05/2.28 # SZS status Theorem
% 5.05/2.28 # SZS output start CNFRefutation
% See solution above
% 5.05/2.28 # Proof object total steps : 32
% 5.05/2.28 # Proof object clause steps : 20
% 5.05/2.28 # Proof object formula steps : 12
% 5.05/2.28 # Proof object conjectures : 10
% 5.05/2.28 # Proof object clause conjectures : 7
% 5.05/2.28 # Proof object formula conjectures : 3
% 5.05/2.28 # Proof object initial clauses used : 12
% 5.05/2.28 # Proof object initial formulas used : 12
% 5.05/2.28 # Proof object generating inferences : 7
% 5.05/2.28 # Proof object simplifying inferences : 8
% 5.05/2.28 # Training examples: 0 positive, 0 negative
% 5.05/2.28 # Parsed axioms : 28
% 5.05/2.28 # Removed by relevancy pruning/SinE : 0
% 5.05/2.28 # Initial clauses : 28
% 5.05/2.28 # Removed in clause preprocessing : 0
% 5.05/2.28 # Initial clauses in saturation : 28
% 5.05/2.28 # Processed clauses : 159
% 5.05/2.28 # ...of these trivial : 9
% 5.05/2.28 # ...subsumed : 27
% 5.05/2.28 # ...remaining for further processing : 122
% 5.05/2.28 # Other redundant clauses eliminated : 4
% 5.05/2.28 # Clauses deleted for lack of memory : 0
% 5.05/2.28 # Backward-subsumed : 8
% 5.05/2.28 # Backward-rewritten : 14
% 5.05/2.28 # Generated clauses : 1577
% 5.05/2.28 # ...of the previous two non-trivial : 1151
% 5.05/2.28 # Contextual simplify-reflections : 9
% 5.05/2.28 # Paramodulations : 1567
% 5.05/2.28 # Factorizations : 0
% 5.05/2.28 # Equation resolutions : 10
% 5.05/2.28 # Propositional unsat checks : 0
% 5.05/2.28 # Propositional unsat check successes : 0
% 5.05/2.28 # Current number of processed clauses : 100
% 5.05/2.28 # Positive orientable unit clauses : 37
% 5.05/2.28 # Positive unorientable unit clauses: 3
% 5.05/2.28 # Negative unit clauses : 2
% 5.05/2.28 # Non-unit-clauses : 58
% 5.05/2.28 # Current number of unprocessed clauses: 955
% 5.05/2.28 # ...number of literals in the above : 2334
% 5.05/2.28 # Current number of archived formulas : 0
% 5.05/2.28 # Current number of archived clauses : 22
% 5.05/2.28 # Clause-clause subsumption calls (NU) : 631
% 5.05/2.28 # Rec. Clause-clause subsumption calls : 550
% 5.05/2.28 # Non-unit clause-clause subsumptions : 36
% 5.05/2.28 # Unit Clause-clause subsumption calls : 20
% 5.05/2.28 # Rewrite failures with RHS unbound : 0
% 5.05/2.28 # BW rewrite match attempts : 54
% 5.05/2.28 # BW rewrite match successes : 36
% 5.05/2.28 # Condensation attempts : 0
% 5.05/2.28 # Condensation successes : 0
% 5.05/2.28 # Termbank termtop insertions : 18193
% 5.05/2.28
% 5.05/2.28 # -------------------------------------------------
% 5.05/2.28 # User time : 0.019 s
% 5.05/2.28 # System time : 0.006 s
% 5.05/2.28 # Total time : 0.024 s
% 5.05/2.28 # ...preprocessing : 0.009 s
% 5.05/2.28 # ...main loop : 0.015 s
% 5.05/2.28 # Maximum resident set size: 7136 pages
% 5.05/2.28
%------------------------------------------------------------------------------