TSTP Solution File: SWW196+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW196+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.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 : Thu Jul 21 00:01:43 EDT 2022
% Result : Theorem 8.55s 2.77s
% Output : CNFRefutation 8.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 12 unt; 0 nHn; 12 RR)
% Number of literals : 16 ( 11 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 5 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_953,plain,
c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6gwcg0uc/input.p',i_0_953) ).
cnf(i_0_267,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Int_OPls) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6gwcg0uc/input.p',i_0_267) ).
cnf(i_0_181,plain,
c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),esk1_0) = v_na____,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6gwcg0uc/input.p',i_0_181) ).
cnf(i_0_179,hypothesis,
( v_thesis____
| c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),X1) != v_na____ ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6gwcg0uc/input.p',i_0_179) ).
cnf(i_0_180,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6gwcg0uc/input.p',i_0_180) ).
cnf(c_0_959,plain,
c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
i_0_953 ).
cnf(c_0_960,plain,
c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Int_OPls) = X1,
i_0_267 ).
cnf(c_0_961,plain,
c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),esk1_0) = v_na____,
i_0_181 ).
cnf(c_0_962,plain,
c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_959,c_0_960]),c_0_960]),c_0_960]),c_0_960]) ).
cnf(c_0_963,hypothesis,
( v_thesis____
| c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),c_Int_OPls),c_Int_OPls))),X1) != v_na____ ),
i_0_179 ).
cnf(c_0_964,negated_conjecture,
~ v_thesis____,
i_0_180 ).
cnf(c_0_965,plain,
c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),esk1_0) = v_na____,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_961,c_0_960]),c_0_960]),c_0_960]),c_0_960]),c_0_962]) ).
cnf(c_0_966,hypothesis,
c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1) != v_na____,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_963,c_0_960]),c_0_960]),c_0_960]),c_0_960]),c_0_962]),c_0_964]) ).
cnf(c_0_967,plain,
$false,
inference(sr,[status(thm)],[c_0_965,c_0_966]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW196+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 6 01:58:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected SinE mode:
% 0.19/0.52 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.52 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.52 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.55/2.77 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 8.55/2.77 # Version: 2.1pre011
% 8.55/2.77 # Preprocessing time : 0.053 s
% 8.55/2.77
% 8.55/2.77 # Proof found!
% 8.55/2.77 # SZS status Theorem
% 8.55/2.77 # SZS output start CNFRefutation
% See solution above
% 8.55/2.77 # Proof object total steps : 14
% 8.55/2.77 # Proof object clause steps : 9
% 8.55/2.77 # Proof object formula steps : 5
% 8.55/2.77 # Proof object conjectures : 2
% 8.55/2.77 # Proof object clause conjectures : 1
% 8.55/2.77 # Proof object formula conjectures : 1
% 8.55/2.77 # Proof object initial clauses used : 5
% 8.55/2.77 # Proof object initial formulas used : 5
% 8.55/2.77 # Proof object generating inferences : 0
% 8.55/2.77 # Proof object simplifying inferences : 16
% 8.55/2.77 # Training examples: 0 positive, 0 negative
% 8.55/2.77 # Parsed axioms : 1616
% 8.55/2.77 # Removed by relevancy pruning/SinE : 0
% 8.55/2.77 # Initial clauses : 1616
% 8.55/2.77 # Removed in clause preprocessing : 0
% 8.55/2.77 # Initial clauses in saturation : 1616
% 8.55/2.77 # Processed clauses : 332
% 8.55/2.77 # ...of these trivial : 12
% 8.55/2.77 # ...subsumed : 24
% 8.55/2.77 # ...remaining for further processing : 296
% 8.55/2.77 # Other redundant clauses eliminated : 16
% 8.55/2.77 # Clauses deleted for lack of memory : 0
% 8.55/2.77 # Backward-subsumed : 0
% 8.55/2.77 # Backward-rewritten : 6
% 8.55/2.77 # Generated clauses : 132
% 8.55/2.77 # ...of the previous two non-trivial : 109
% 8.55/2.77 # Contextual simplify-reflections : 0
% 8.55/2.77 # Paramodulations : 113
% 8.55/2.77 # Factorizations : 0
% 8.55/2.77 # Equation resolutions : 18
% 8.55/2.77 # Propositional unsat checks : 0
% 8.55/2.77 # Propositional unsat check successes : 0
% 8.55/2.77 # Current number of processed clauses : 274
% 8.55/2.77 # Positive orientable unit clauses : 213
% 8.55/2.77 # Positive unorientable unit clauses: 0
% 8.55/2.77 # Negative unit clauses : 22
% 8.55/2.77 # Non-unit-clauses : 39
% 8.55/2.77 # Current number of unprocessed clauses: 1387
% 8.55/2.77 # ...number of literals in the above : 3700
% 8.55/2.77 # Current number of archived formulas : 0
% 8.55/2.77 # Current number of archived clauses : 7
% 8.55/2.77 # Clause-clause subsumption calls (NU) : 147
% 8.55/2.77 # Rec. Clause-clause subsumption calls : 129
% 8.55/2.77 # Non-unit clause-clause subsumptions : 9
% 8.55/2.77 # Unit Clause-clause subsumption calls : 166
% 8.55/2.77 # Rewrite failures with RHS unbound : 0
% 8.55/2.77 # BW rewrite match attempts : 42
% 8.55/2.77 # BW rewrite match successes : 7
% 8.55/2.77 # Condensation attempts : 0
% 8.55/2.77 # Condensation successes : 0
% 8.55/2.77 # Termbank termtop insertions : 43767
% 8.55/2.77
% 8.55/2.77 # -------------------------------------------------
% 8.55/2.77 # User time : 0.049 s
% 8.55/2.77 # System time : 0.010 s
% 8.55/2.77 # Total time : 0.059 s
% 8.55/2.77 # ...preprocessing : 0.053 s
% 8.55/2.77 # ...main loop : 0.006 s
% 8.55/2.77 # Maximum resident set size: 8144 pages
% 8.55/2.77
%------------------------------------------------------------------------------