TSTP Solution File: SWW293+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW293+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 2.08s 163.23s
% Output : CNFRefutation 2.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 40 ( 4 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 36 ( 15 ~; 12 |; 4 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-4 aty)
% Number of variables : 55 ( 10 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_evaln__elim__cases_I6_J,axiom,
! [X59,X42,X45,X87] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X87),X45,X42,X59)
=> ~ ! [X83] :
( X42 = hAPP(c_Nat_OSuc,X83)
=> ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X87)),X45,X83,X59) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_evaln__elim__cases_I6_J) ).
fof(fact_triple__valid__def2,axiom,
! [X17,X18,X19,X20,X10] :
( c_Hoare__Mirabelle_Otriple__valid(X10,X20,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X10),X19),X18),X17))
<=> ! [X21,X22] :
( hBOOL(hAPP(hAPP(X19,X21),X22))
=> ! [X23] :
( c_Natural_Oevaln(X18,X22,X20,X23)
=> hBOOL(hAPP(hAPP(X17,X21),X23)) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_triple__valid__def2) ).
fof(conj_0,conjecture,
c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(fact_zero__less__Suc,axiom,
! [X42] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,X42))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_zero__less__Suc) ).
fof(fact_less__zeroE,axiom,
! [X42] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X42),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_less__zeroE) ).
fof(c_0_5,plain,
! [X88,X89,X90,X91] :
( ( X89 = hAPP(c_Nat_OSuc,esk13_4(X88,X89,X90,X91))
| ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X91),X90,X89,X88) )
& ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X91)),X90,esk13_4(X88,X89,X90,X91),X88)
| ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X91),X90,X89,X88) ) ),
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_6,plain,
! [X24,X25,X26,X27,X28,X29,X30,X31,X24,X25,X26,X27,X28] :
( ( ~ c_Hoare__Mirabelle_Otriple__valid(X28,X27,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X28),X26),X25),X24))
| ~ hBOOL(hAPP(hAPP(X26,X29),X30))
| ~ c_Natural_Oevaln(X25,X30,X27,X31)
| hBOOL(hAPP(hAPP(X24,X29),X31)) )
& ( hBOOL(hAPP(hAPP(X26,esk1_4(X24,X25,X26,X27)),esk2_4(X24,X25,X26,X27)))
| c_Hoare__Mirabelle_Otriple__valid(X28,X27,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X28),X26),X25),X24)) )
& ( c_Natural_Oevaln(X25,esk2_4(X24,X25,X26,X27),X27,esk3_4(X24,X25,X26,X27))
| c_Hoare__Mirabelle_Otriple__valid(X28,X27,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X28),X26),X25),X24)) )
& ( ~ hBOOL(hAPP(hAPP(X24,esk1_4(X24,X25,X26,X27)),esk3_4(X24,X25,X26,X27)))
| c_Hoare__Mirabelle_Otriple__valid(X28,X27,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X28),X26),X25),X24)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[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)],[fact_triple__valid__def2])])])])])])]) ).
fof(c_0_7,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_8,plain,
! [X43] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,X43))),
inference(variable_rename,[status(thm)],[fact_zero__less__Suc]) ).
cnf(c_0_9,plain,
( X3 = hAPP(c_Nat_OSuc,esk13_4(X4,X3,X2,X1))
| ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X1),X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,plain,
( c_Hoare__Mirabelle_Otriple__valid(X1,X2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X3),X4),X5))
| c_Natural_Oevaln(X4,esk2_4(X5,X4,X3,X2),X2,esk3_4(X5,X4,X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_11,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,X1))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( hAPP(c_Nat_OSuc,esk13_4(esk3_4(X1,hAPP(c_Com_Ocom_OBODY,X2),X3,X4),X4,esk2_4(X1,hAPP(c_Com_Ocom_OBODY,X2),X3,X4),X2)) = X4
| c_Hoare__Mirabelle_Otriple__valid(X5,X4,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X5),X3),hAPP(c_Com_Ocom_OBODY,X2)),X1)) ),
inference(pm,[status(thm)],[c_0_9,c_0_10]) ).
fof(c_0_14,plain,
! [X43] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X43),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_less__zeroE])]) ).
cnf(c_0_15,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1))
| c_Hoare__Mirabelle_Otriple__valid(X2,X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X2),X3),hAPP(c_Com_Ocom_OBODY,X4)),X5)) ),
inference(pm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(pm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW293+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 4 09:19:59 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.09/24.11 eprover: CPU time limit exceeded, terminating
% 1.09/24.11 eprover: CPU time limit exceeded, terminating
% 1.09/24.11 eprover: CPU time limit exceeded, terminating
% 1.09/24.12 eprover: CPU time limit exceeded, terminating
% 1.25/47.12 eprover: CPU time limit exceeded, terminating
% 1.25/47.13 eprover: CPU time limit exceeded, terminating
% 1.25/47.13 eprover: CPU time limit exceeded, terminating
% 1.25/47.13 eprover: CPU time limit exceeded, terminating
% 1.41/70.14 eprover: CPU time limit exceeded, terminating
% 1.41/70.14 eprover: CPU time limit exceeded, terminating
% 1.41/70.16 eprover: CPU time limit exceeded, terminating
% 1.41/70.17 eprover: CPU time limit exceeded, terminating
% 1.57/93.15 eprover: CPU time limit exceeded, terminating
% 1.57/93.17 eprover: CPU time limit exceeded, terminating
% 1.57/93.17 eprover: CPU time limit exceeded, terminating
% 1.57/93.18 eprover: CPU time limit exceeded, terminating
% 1.74/116.18 eprover: CPU time limit exceeded, terminating
% 1.74/116.18 eprover: CPU time limit exceeded, terminating
% 1.74/116.20 eprover: CPU time limit exceeded, terminating
% 1.74/116.20 eprover: CPU time limit exceeded, terminating
% 1.90/139.20 eprover: CPU time limit exceeded, terminating
% 1.90/139.21 eprover: CPU time limit exceeded, terminating
% 1.90/139.21 eprover: CPU time limit exceeded, terminating
% 1.90/139.22 eprover: CPU time limit exceeded, terminating
% 2.05/162.23 eprover: CPU time limit exceeded, terminating
% 2.05/162.23 eprover: CPU time limit exceeded, terminating
% 2.05/162.23 eprover: CPU time limit exceeded, terminating
% 2.05/162.23 eprover: CPU time limit exceeded, terminating
% 2.08/163.23 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 2.08/163.23
% 2.08/163.23 # Failure: Resource limit exceeded (time)
% 2.08/163.23 # OLD status Res
% 2.08/163.23 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 2.08/163.23 # Preprocessing time : 0.240 s
% 2.08/163.23 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 2.08/163.23
% 2.08/163.23 # Failure: Resource limit exceeded (time)
% 2.08/163.23 # OLD status Res
% 2.08/163.23 # Preprocessing time : 0.675 s
% 2.08/163.23 # Running protocol protocol_eprover_eb48853eb71ccd2a6fdade56c25b63f5692e1a0c for 23 seconds:
% 2.08/163.23
% 2.08/163.23 # Failure: Resource limit exceeded (time)
% 2.08/163.23 # OLD status Res
% 2.08/163.23 # Preprocessing time : 0.810 s
% 2.08/163.23 # Running protocol protocol_eprover_761a0d093d9701c0eed884aebb46468e8d439c31 for 23 seconds:
% 2.08/163.23
% 2.08/163.23 # Failure: Resource limit exceeded (time)
% 2.08/163.23 # OLD status Res
% 2.08/163.23 # SinE strategy is GSinE(CountFormulas,hypos,1.2,,,100,1.0)
% 2.08/163.23 # Preprocessing time : 0.155 s
% 2.08/163.23 # Running protocol protocol_eprover_bb5e3cecdbc7660bd3a6f864cadb7769d8aea26a for 23 seconds:
% 2.08/163.23
% 2.08/163.23 # Failure: Resource limit exceeded (time)
% 2.08/163.23 # OLD status Res
% 2.08/163.23 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,,500,1.0)
% 2.08/163.23 # Preprocessing time : 0.164 s
% 2.08/163.23 # Running protocol protocol_eprover_e252f7803940d118fa0ef69fc2319cb55aee23b9 for 23 seconds:
% 2.08/163.23
% 2.08/163.23 # Failure: Resource limit exceeded (time)
% 2.08/163.23 # OLD status Res
% 2.08/163.23 # SinE strategy is GSinE(CountFormulas,,1.4,,03,100,1.0)
% 2.08/163.23 # Preprocessing time : 0.151 s
% 2.08/163.23 # Running protocol protocol_eprover_b1d72019af42f5b571a6c0b233a5b6d1de064075 for 23 seconds:
% 2.08/163.23
% 2.08/163.23 # Failure: Resource limit exceeded (time)
% 2.08/163.23 # OLD status Res
% 2.08/163.23 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,500,1.0)
% 2.08/163.23 # Preprocessing time : 0.168 s
% 2.08/163.23 # Running protocol protocol_eprover_e96ef4641ae500918cdd95fcfce21e29f2ac5eec for 23 seconds:
% 2.08/163.23 # SinE strategy is GSinE(CountFormulas,,6.0,,03,100,1.0)
% 2.08/163.23 # Preprocessing time : 0.235 s
% 2.08/163.23
% 2.08/163.23 # Proof found!
% 2.08/163.23 # SZS status Theorem
% 2.08/163.23 # SZS output start CNFRefutation
% See solution above
% 2.08/163.23 # Proof object total steps : 19
% 2.08/163.23 # Proof object clause steps : 8
% 2.08/163.23 # Proof object formula steps : 11
% 2.08/163.23 # Proof object conjectures : 5
% 2.08/163.23 # Proof object clause conjectures : 2
% 2.08/163.23 # Proof object formula conjectures : 3
% 2.08/163.23 # Proof object initial clauses used : 5
% 2.08/163.23 # Proof object initial formulas used : 5
% 2.08/163.23 # Proof object generating inferences : 3
% 2.08/163.23 # Proof object simplifying inferences : 1
% 2.08/163.23 # Training examples: 0 positive, 0 negative
% 2.08/163.23 # Parsed axioms : 5205
% 2.08/163.23 # Removed by relevancy pruning/SinE : 5104
% 2.08/163.23 # Initial clauses : 147
% 2.08/163.23 # Removed in clause preprocessing : 11
% 2.08/163.23 # Initial clauses in saturation : 136
% 2.08/163.23 # Processed clauses : 432
% 2.08/163.23 # ...of these trivial : 5
% 2.08/163.23 # ...subsumed : 102
% 2.08/163.23 # ...remaining for further processing : 325
% 2.08/163.23 # Other redundant clauses eliminated : 10
% 2.08/163.23 # Clauses deleted for lack of memory : 0
% 2.08/163.23 # Backward-subsumed : 6
% 2.08/163.23 # Backward-rewritten : 4
% 2.08/163.23 # Generated clauses : 1195
% 2.08/163.23 # ...of the previous two non-trivial : 1080
% 2.08/163.23 # Contextual simplify-reflections : 3
% 2.08/163.23 # Paramodulations : 1167
% 2.08/163.23 # Factorizations : 2
% 2.08/163.23 # Equation resolutions : 26
% 2.08/163.23 # Current number of processed clauses : 308
% 2.08/163.23 # Positive orientable unit clauses : 35
% 2.08/163.23 # Positive unorientable unit clauses: 1
% 2.08/163.23 # Negative unit clauses : 14
% 2.08/163.23 # Non-unit-clauses : 258
% 2.08/163.23 # Current number of unprocessed clauses: 734
% 2.08/163.23 # ...number of literals in the above : 2426
% 2.08/163.23 # Current number of archived formulas : 0
% 2.08/163.23 # Current number of archived clauses : 10
% 2.08/163.23 # Clause-clause subsumption calls (NU) : 7989
% 2.08/163.23 # Rec. Clause-clause subsumption calls : 4360
% 2.08/163.23 # Non-unit clause-clause subsumptions : 79
% 2.08/163.23 # Unit Clause-clause subsumption calls : 194
% 2.08/163.23 # Rewrite failures with RHS unbound : 20
% 2.08/163.23 # BW rewrite match attempts : 164
% 2.08/163.23 # BW rewrite match successes : 10
% 2.08/163.23 # Condensation attempts : 0
% 2.08/163.23 # Condensation successes : 0
% 2.08/163.23 # Termbank termtop insertions : 166906
% 2.08/163.23
% 2.08/163.23 # -------------------------------------------------
% 2.08/163.23 # User time : 0.266 s
% 2.08/163.23 # System time : 0.009 s
% 2.08/163.23 # Total time : 0.275 s
% 2.08/163.23 # Maximum resident set size: 14912 pages
% 2.08/185.24 eprover: CPU time limit exceeded, terminating
% 2.08/185.26 eprover: CPU time limit exceeded, terminating
% 2.08/185.26 eprover: CPU time limit exceeded, terminating
% 2.08/185.26 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.08/185.26 eprover: No such file or directory
% 2.08/185.27 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.08/185.27 eprover: No such file or directory
% 2.08/185.27 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.08/185.27 eprover: No such file or directory
% 2.08/185.28 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.08/185.28 eprover: No such file or directory
% 2.08/185.28 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 2.08/185.28 eprover: No such file or directory
% 2.08/185.28 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.08/185.28 eprover: No such file or directory
% 2.08/185.28 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.08/185.28 eprover: No such file or directory
% 2.08/185.28 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.08/185.28 eprover: No such file or directory
% 2.08/185.29 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.08/185.29 eprover: No such file or directory
% 2.08/185.29 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.08/185.29 eprover: No such file or directory
% 2.08/185.29 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.08/185.29 eprover: No such file or directory
% 2.08/185.29 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 2.08/185.29 eprover: No such file or directory
%------------------------------------------------------------------------------