TSTP Solution File: SWW294+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW294+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n027.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 00:10:29 EDT 2022
% Result : Theorem 1.28s 48.46s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 23 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 22 ( 10 ~; 3 |; 3 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-4 aty)
% Number of variables : 22 ( 1 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
! [X231,X232] :
( v_P(X231,X232)
=> ! [X233] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X232,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X233)
=> v_Q(X231,X233) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',conj_0) ).
fof(fact_evaln__elim__cases_I6_J,axiom,
! [X51,X33,X9,X79] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X79),X9,X33,X51)
=> ~ ! [X70] :
( X33 = hAPP(c_Nat_OSuc,X70)
=> ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X79)),X9,X70,X51) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_evaln__elim__cases_I6_J) ).
fof(fact_Zero__neq__Suc,axiom,
! [X90] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X90),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',fact_Zero__neq__Suc) ).
fof(c_0_3,negated_conjecture,
~ ! [X231,X232] :
( v_P(X231,X232)
=> ! [X233] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X232,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X233)
=> v_Q(X231,X233) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_4,plain,
! [X80,X81,X82,X83] :
( ( X81 = hAPP(c_Nat_OSuc,esk21_4(X80,X81,X82,X83))
| ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X83),X82,X81,X80) )
& ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X83)),X82,esk21_4(X80,X81,X82,X83),X80)
| ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X83),X82,X81,X80) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_evaln__elim__cases_I6_J])])])])])])]) ).
fof(c_0_5,negated_conjecture,
( v_P(esk493_0,esk494_0)
& c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),esk494_0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),esk495_0)
& ~ v_Q(esk493_0,esk495_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
fof(c_0_6,plain,
! [X91] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X91),
inference(variable_rename,[status(thm)],[fact_Zero__neq__Suc]) ).
cnf(c_0_7,plain,
( X3 = hAPP(c_Nat_OSuc,esk21_4(X4,X3,X2,X1))
| ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),esk494_0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),esk495_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW294+1 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.14 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 5 10:56:23 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.10/24.12 eprover: CPU time limit exceeded, terminating
% 1.10/24.13 eprover: CPU time limit exceeded, terminating
% 1.10/24.14 eprover: CPU time limit exceeded, terminating
% 1.10/24.15 eprover: CPU time limit exceeded, terminating
% 1.27/47.14 eprover: CPU time limit exceeded, terminating
% 1.27/47.15 eprover: CPU time limit exceeded, terminating
% 1.27/47.15 eprover: CPU time limit exceeded, terminating
% 1.27/47.17 eprover: CPU time limit exceeded, terminating
% 1.28/48.46 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 1.28/48.46
% 1.28/48.46 # Failure: Resource limit exceeded (time)
% 1.28/48.46 # OLD status Res
% 1.28/48.46 # Preprocessing time : 0.934 s
% 1.28/48.46 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 1.28/48.46
% 1.28/48.46 # Failure: Resource limit exceeded (time)
% 1.28/48.46 # OLD status Res
% 1.28/48.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.28/48.46 # Preprocessing time : 0.165 s
% 1.28/48.46 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 1.28/48.46 # Preprocessing time : 0.772 s
% 1.28/48.46
% 1.28/48.46 # Proof found!
% 1.28/48.46 # SZS status Theorem
% 1.28/48.46 # SZS output start CNFRefutation
% See solution above
% 1.28/48.46 # Proof object total steps : 11
% 1.28/48.46 # Proof object clause steps : 4
% 1.28/48.46 # Proof object formula steps : 7
% 1.28/48.46 # Proof object conjectures : 5
% 1.28/48.46 # Proof object clause conjectures : 2
% 1.28/48.46 # Proof object formula conjectures : 3
% 1.28/48.46 # Proof object initial clauses used : 3
% 1.28/48.46 # Proof object initial formulas used : 3
% 1.28/48.46 # Proof object generating inferences : 1
% 1.28/48.46 # Proof object simplifying inferences : 1
% 1.28/48.46 # Training examples: 0 positive, 0 negative
% 1.28/48.46 # Parsed axioms : 5207
% 1.28/48.46 # Removed by relevancy pruning/SinE : 0
% 1.28/48.46 # Initial clauses : 7488
% 1.28/48.46 # Removed in clause preprocessing : 254
% 1.28/48.46 # Initial clauses in saturation : 7234
% 1.28/48.46 # Processed clauses : 1396
% 1.28/48.46 # ...of these trivial : 72
% 1.28/48.46 # ...subsumed : 136
% 1.28/48.46 # ...remaining for further processing : 1188
% 1.28/48.46 # Other redundant clauses eliminated : 103
% 1.28/48.46 # Clauses deleted for lack of memory : 0
% 1.28/48.46 # Backward-subsumed : 5
% 1.28/48.46 # Backward-rewritten : 95
% 1.28/48.46 # Generated clauses : 8963
% 1.28/48.46 # ...of the previous two non-trivial : 8289
% 1.28/48.46 # Contextual simplify-reflections : 3
% 1.28/48.46 # Paramodulations : 8742
% 1.28/48.46 # Factorizations : 0
% 1.28/48.46 # Equation resolutions : 221
% 1.28/48.46 # Current number of processed clauses : 1081
% 1.28/48.46 # Positive orientable unit clauses : 623
% 1.28/48.46 # Positive unorientable unit clauses: 18
% 1.28/48.46 # Negative unit clauses : 45
% 1.28/48.46 # Non-unit-clauses : 395
% 1.28/48.46 # Current number of unprocessed clauses: 13568
% 1.28/48.46 # ...number of literals in the above : 31053
% 1.28/48.46 # Current number of archived formulas : 0
% 1.28/48.46 # Current number of archived clauses : 133
% 1.28/48.46 # Clause-clause subsumption calls (NU) : 23508
% 1.28/48.46 # Rec. Clause-clause subsumption calls : 12894
% 1.28/48.46 # Non-unit clause-clause subsumptions : 98
% 1.28/48.46 # Unit Clause-clause subsumption calls : 4536
% 1.28/48.46 # Rewrite failures with RHS unbound : 20
% 1.28/48.46 # BW rewrite match attempts : 924
% 1.28/48.46 # BW rewrite match successes : 261
% 1.28/48.46 # Condensation attempts : 0
% 1.28/48.46 # Condensation successes : 0
% 1.28/48.46 # Termbank termtop insertions : 1065338
% 1.28/48.46
% 1.28/48.46 # -------------------------------------------------
% 1.28/48.46 # User time : 0.884 s
% 1.28/48.46 # System time : 0.021 s
% 1.28/48.46 # Total time : 0.905 s
% 1.28/48.46 # Maximum resident set size: 49360 pages
% 1.28/70.17 eprover: CPU time limit exceeded, terminating
% 1.28/70.18 eprover: CPU time limit exceeded, terminating
% 1.28/70.18 eprover: CPU time limit exceeded, terminating
% 1.28/70.19 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.28/70.19 eprover: No such file or directory
% 1.28/70.20 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/70.20 eprover: No such file or directory
% 1.28/70.20 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.28/70.20 eprover: No such file or directory
% 1.28/70.20 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/70.20 eprover: No such file or directory
% 1.28/70.20 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/70.20 eprover: No such file or directory
% 1.28/70.20 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.28/70.20 eprover: No such file or directory
% 1.28/70.21 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.28/70.21 eprover: No such file or directory
% 1.28/70.21 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/70.21 eprover: No such file or directory
% 1.28/70.21 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/70.21 eprover: No such file or directory
% 1.28/70.21 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.28/70.21 eprover: No such file or directory
% 1.28/70.21 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/70.21 eprover: No such file or directory
% 1.28/70.21 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/70.21 eprover: No such file or directory
% 1.28/70.21 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.28/70.21 eprover: No such file or directory
% 1.28/70.22 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.28/70.22 eprover: No such file or directory
% 1.28/70.22 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/70.22 eprover: No such file or directory
% 1.28/70.22 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/70.22 eprover: No such file or directory
% 1.28/70.22 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/70.22 eprover: No such file or directory
% 1.28/70.22 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.28/70.22 eprover: No such file or directory
% 1.28/70.22 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/70.22 eprover: No such file or directory
% 1.28/70.23 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/70.23 eprover: No such file or directory
% 1.28/70.23 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 1.28/70.23 eprover: No such file or directory
% 1.28/70.23 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/70.23 eprover: No such file or directory
% 1.28/70.23 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/70.23 eprover: No such file or directory
% 1.28/70.23 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/70.23 eprover: No such file or directory
% 1.28/70.23 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/70.23 eprover: No such file or directory
% 1.28/70.24 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/70.24 eprover: No such file or directory
% 1.28/70.24 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.28/70.24 eprover: No such file or directory
%------------------------------------------------------------------------------