TSTP Solution File: KLE069+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : KLE069+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 01:49:58 EDT 2022
% Result : Theorem 7.57s 2.42s
% Output : CNFRefutation 7.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 31 ( 31 unt; 0 nHn; 4 RR)
% Number of literals : 31 ( 30 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 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 : 46 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_12,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8udnt8t/input.p',i_0_12) ).
cnf(i_0_14,plain,
multiplication(one,X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8udnt8t/input.p',i_0_14) ).
cnf(i_0_2,plain,
addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8udnt8t/input.p',i_0_2) ).
cnf(i_0_7,plain,
addition(domain(X1),one) = one,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8udnt8t/input.p',i_0_7) ).
cnf(i_0_5,plain,
addition(X1,multiplication(domain(X1),X1)) = multiplication(domain(X1),X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8udnt8t/input.p',i_0_5) ).
cnf(i_0_6,plain,
domain(multiplication(X1,domain(X2))) = domain(multiplication(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8udnt8t/input.p',i_0_6) ).
cnf(i_0_19,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8udnt8t/input.p',i_0_19) ).
cnf(i_0_15,plain,
multiplication(X1,one) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8udnt8t/input.p',i_0_15) ).
cnf(i_0_9,plain,
domain(addition(X1,X2)) = addition(domain(X1),domain(X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8udnt8t/input.p',i_0_9) ).
cnf(i_0_10,negated_conjecture,
multiplication(domain(esk1_0),addition(domain(esk1_0),domain(esk2_0))) != domain(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-x8udnt8t/input.p',i_0_10) ).
cnf(c_0_30,plain,
addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
i_0_12 ).
cnf(c_0_31,plain,
multiplication(one,X1) = X1,
i_0_14 ).
cnf(c_0_32,plain,
addition(X1,X2) = addition(X2,X1),
i_0_2 ).
cnf(c_0_33,plain,
addition(domain(X1),one) = one,
i_0_7 ).
cnf(c_0_34,plain,
addition(X1,multiplication(domain(X1),X1)) = multiplication(domain(X1),X1),
i_0_5 ).
cnf(c_0_35,plain,
addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_36,plain,
addition(one,domain(X1)) = one,
inference(rw,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_37,plain,
domain(multiplication(X1,domain(X2))) = domain(multiplication(X1,X2)),
i_0_6 ).
cnf(c_0_38,plain,
multiplication(domain(X1),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35]),c_0_32]),c_0_36]),c_0_31]) ).
cnf(c_0_39,plain,
domain(domain(X1)) = domain(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_31]),c_0_31]) ).
cnf(c_0_40,plain,
addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
i_0_19 ).
cnf(c_0_41,plain,
multiplication(X1,one) = X1,
i_0_15 ).
cnf(c_0_42,plain,
multiplication(domain(X1),domain(X1)) = domain(X1),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_32]) ).
cnf(c_0_44,plain,
multiplication(domain(X1),addition(X2,domain(X1))) = multiplication(domain(X1),addition(X2,one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_42]),c_0_32]),c_0_43]) ).
cnf(c_0_45,plain,
domain(addition(X1,X2)) = addition(domain(X1),domain(X2)),
i_0_9 ).
cnf(c_0_46,negated_conjecture,
multiplication(domain(esk1_0),addition(domain(esk1_0),domain(esk2_0))) != domain(esk1_0),
i_0_10 ).
cnf(c_0_47,plain,
multiplication(domain(X1),domain(addition(X2,X1))) = domain(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_32]),c_0_36]),c_0_41]) ).
cnf(c_0_48,negated_conjecture,
multiplication(domain(esk1_0),domain(addition(esk1_0,esk2_0))) != domain(esk1_0),
inference(rw,[status(thm)],[c_0_46,c_0_45]) ).
cnf(c_0_49,plain,
multiplication(domain(X1),domain(addition(X1,X2))) = domain(X1),
inference(spm,[status(thm)],[c_0_47,c_0_32]) ).
cnf(c_0_50,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE069+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n020.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 10:46:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox2/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
% 7.57/2.42 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.57/2.42 # Version: 2.1pre011
% 7.57/2.42 # Preprocessing time : 0.011 s
% 7.57/2.42
% 7.57/2.42 # Proof found!
% 7.57/2.42 # SZS status Theorem
% 7.57/2.42 # SZS output start CNFRefutation
% See solution above
% 7.57/2.42 # Proof object total steps : 31
% 7.57/2.42 # Proof object clause steps : 21
% 7.57/2.42 # Proof object formula steps : 10
% 7.57/2.42 # Proof object conjectures : 4
% 7.57/2.42 # Proof object clause conjectures : 3
% 7.57/2.42 # Proof object formula conjectures : 1
% 7.57/2.42 # Proof object initial clauses used : 10
% 7.57/2.42 # Proof object initial formulas used : 10
% 7.57/2.42 # Proof object generating inferences : 7
% 7.57/2.42 # Proof object simplifying inferences : 16
% 7.57/2.42 # Training examples: 0 positive, 0 negative
% 7.57/2.42 # Parsed axioms : 19
% 7.57/2.42 # Removed by relevancy pruning/SinE : 0
% 7.57/2.42 # Initial clauses : 19
% 7.57/2.42 # Removed in clause preprocessing : 0
% 7.57/2.42 # Initial clauses in saturation : 19
% 7.57/2.42 # Processed clauses : 309
% 7.57/2.42 # ...of these trivial : 97
% 7.57/2.42 # ...subsumed : 105
% 7.57/2.42 # ...remaining for further processing : 107
% 7.57/2.42 # Other redundant clauses eliminated : 0
% 7.57/2.42 # Clauses deleted for lack of memory : 0
% 7.57/2.42 # Backward-subsumed : 0
% 7.57/2.42 # Backward-rewritten : 7
% 7.57/2.42 # Generated clauses : 5612
% 7.57/2.42 # ...of the previous two non-trivial : 2983
% 7.57/2.42 # Contextual simplify-reflections : 0
% 7.57/2.42 # Paramodulations : 5612
% 7.57/2.42 # Factorizations : 0
% 7.57/2.42 # Equation resolutions : 0
% 7.57/2.42 # Propositional unsat checks : 0
% 7.57/2.42 # Propositional unsat check successes : 0
% 7.57/2.42 # Current number of processed clauses : 100
% 7.57/2.42 # Positive orientable unit clauses : 93
% 7.57/2.42 # Positive unorientable unit clauses: 5
% 7.57/2.42 # Negative unit clauses : 0
% 7.57/2.42 # Non-unit-clauses : 2
% 7.57/2.42 # Current number of unprocessed clauses: 2534
% 7.57/2.42 # ...number of literals in the above : 2534
% 7.57/2.42 # Current number of archived formulas : 0
% 7.57/2.42 # Current number of archived clauses : 7
% 7.57/2.42 # Clause-clause subsumption calls (NU) : 0
% 7.57/2.42 # Rec. Clause-clause subsumption calls : 0
% 7.57/2.42 # Non-unit clause-clause subsumptions : 0
% 7.57/2.42 # Unit Clause-clause subsumption calls : 14
% 7.57/2.42 # Rewrite failures with RHS unbound : 0
% 7.57/2.42 # BW rewrite match attempts : 139
% 7.57/2.42 # BW rewrite match successes : 38
% 7.57/2.42 # Condensation attempts : 0
% 7.57/2.42 # Condensation successes : 0
% 7.57/2.42 # Termbank termtop insertions : 60600
% 7.57/2.42
% 7.57/2.42 # -------------------------------------------------
% 7.57/2.42 # User time : 0.053 s
% 7.57/2.42 # System time : 0.004 s
% 7.57/2.42 # Total time : 0.057 s
% 7.57/2.42 # ...preprocessing : 0.011 s
% 7.57/2.42 # ...main loop : 0.046 s
% 7.57/2.42 # Maximum resident set size: 7132 pages
% 7.57/2.42
%------------------------------------------------------------------------------