TSTP Solution File: SWW301+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW301+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 00:10:30 EDT 2022
% Result : Theorem 0.94s 3.12s
% Output : CNFRefutation 0.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 48 ( 19 ~; 21 |; 2 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-7 aty)
% Number of variables : 63 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_conseq12,axiom,
! [X26,X23,X38,X20,X27,X4,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X27,X20,X38)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool))))
=> ( ! [X28,X29] :
( hBOOL(hAPP(hAPP(X23,X28),X29))
=> ! [X39] :
( ! [X40] :
( hBOOL(hAPP(hAPP(X27,X40),X29))
=> hBOOL(hAPP(hAPP(X38,X40),X39)) )
=> hBOOL(hAPP(hAPP(X26,X28),X39)) ) )
=> c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X23,X20,X26)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_conseq12) ).
fof(conj_1,hypothesis,
! [X28,X29] :
( hBOOL(hAPP(hAPP(v_Q_H,X28),X29))
=> hBOOL(hAPP(hAPP(v_Q,X28),X29)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).
fof(conj_2,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_2) ).
fof(conj_0,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(c_0_4,plain,
! [X41,X42,X43,X44,X45,X46,X47,X51] :
( ( hBOOL(hAPP(hAPP(X42,esk3_7(X41,X42,X43,X44,X45,X46,X47)),esk4_7(X41,X42,X43,X44,X45,X46,X47)))
| c_Hoare__Mirabelle_Ohoare__derivs(X47,X46,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X47)),c_Hoare__Mirabelle_Otriple_Otriple(X47,X42,X44,X41)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X47),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X47,X46,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X47)),c_Hoare__Mirabelle_Otriple_Otriple(X47,X45,X44,X43)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X47),tc_HOL_Obool)))) )
& ( ~ hBOOL(hAPP(hAPP(X45,X51),esk4_7(X41,X42,X43,X44,X45,X46,X47)))
| hBOOL(hAPP(hAPP(X43,X51),esk5_7(X41,X42,X43,X44,X45,X46,X47)))
| c_Hoare__Mirabelle_Ohoare__derivs(X47,X46,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X47)),c_Hoare__Mirabelle_Otriple_Otriple(X47,X42,X44,X41)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X47),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X47,X46,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X47)),c_Hoare__Mirabelle_Otriple_Otriple(X47,X45,X44,X43)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X47),tc_HOL_Obool)))) )
& ( ~ hBOOL(hAPP(hAPP(X41,esk3_7(X41,X42,X43,X44,X45,X46,X47)),esk5_7(X41,X42,X43,X44,X45,X46,X47)))
| c_Hoare__Mirabelle_Ohoare__derivs(X47,X46,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X47)),c_Hoare__Mirabelle_Otriple_Otriple(X47,X42,X44,X41)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X47),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X47,X46,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X47)),c_Hoare__Mirabelle_Otriple_Otriple(X47,X45,X44,X43)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X47),tc_HOL_Obool)))) ) ),
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_conseq12])])])])])])]) ).
fof(c_0_5,hypothesis,
! [X30,X31] :
( ~ hBOOL(hAPP(hAPP(v_Q_H,X30),X31))
| hBOOL(hAPP(hAPP(v_Q,X30),X31)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_1])]) ).
fof(c_0_6,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(assume_negation,[status(cth)],[conj_2]) ).
cnf(c_0_7,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X6,X4,X7)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,X4,X5)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(X7,esk3_7(X7,X6,X5,X4,X3,X2,X1)),esk5_7(X7,X6,X5,X4,X3,X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,hypothesis,
( hBOOL(hAPP(hAPP(v_Q,X1),X2))
| ~ hBOOL(hAPP(hAPP(v_Q_H,X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X6,X4,X7)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))))
| hBOOL(hAPP(hAPP(X5,X8),esk5_7(X7,X6,X5,X4,X3,X2,X1)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,X4,X5)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(X3,X8),esk4_7(X7,X6,X5,X4,X3,X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X6,X4,X7)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))))
| hBOOL(hAPP(hAPP(X6,esk3_7(X7,X6,X5,X4,X3,X2,X1)),esk4_7(X7,X6,X5,X4,X3,X2,X1)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,X4,X5)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_11,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
cnf(c_0_12,hypothesis,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,X4,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(v_Q_H,esk3_7(v_Q,X3,X5,X4,X6,X2,X1)),esk5_7(v_Q,X3,X5,X4,X6,X2,X1)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X6,X4,X5)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,plain,
( hBOOL(hAPP(hAPP(X1,esk3_7(X2,X3,X1,X4,X3,X5,X6)),esk5_7(X2,X3,X1,X4,X3,X5,X6)))
| c_Hoare__Mirabelle_Ohoare__derivs(X6,X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X6)),c_Hoare__Mirabelle_Otriple_Otriple(X6,X3,X4,X2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X6,X5,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X6)),c_Hoare__Mirabelle_Otriple_Otriple(X6,X3,X4,X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X6),tc_HOL_Obool)))) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,hypothesis,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,X4,v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,X4,v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,v_c,v_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW301+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 : Sat Jun 4 13:17:14 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.94/3.12 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.94/3.12 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.94/3.12 # Preprocessing time : 0.247 s
% 0.94/3.12
% 0.94/3.12 # Proof found!
% 0.94/3.12 # SZS status Theorem
% 0.94/3.12 # SZS output start CNFRefutation
% See solution above
% 0.94/3.12 # Proof object total steps : 18
% 0.94/3.12 # Proof object clause steps : 10
% 0.94/3.12 # Proof object formula steps : 8
% 0.94/3.12 # Proof object conjectures : 5
% 0.94/3.12 # Proof object clause conjectures : 2
% 0.94/3.12 # Proof object formula conjectures : 3
% 0.94/3.12 # Proof object initial clauses used : 6
% 0.94/3.12 # Proof object initial formulas used : 4
% 0.94/3.12 # Proof object generating inferences : 4
% 0.94/3.12 # Proof object simplifying inferences : 2
% 0.94/3.12 # Training examples: 0 positive, 0 negative
% 0.94/3.12 # Parsed axioms : 5224
% 0.94/3.12 # Removed by relevancy pruning/SinE : 5123
% 0.94/3.12 # Initial clauses : 163
% 0.94/3.12 # Removed in clause preprocessing : 8
% 0.94/3.12 # Initial clauses in saturation : 155
% 0.94/3.12 # Processed clauses : 2503
% 0.94/3.12 # ...of these trivial : 158
% 0.94/3.12 # ...subsumed : 1463
% 0.94/3.12 # ...remaining for further processing : 882
% 0.94/3.12 # Other redundant clauses eliminated : 22
% 0.94/3.12 # Clauses deleted for lack of memory : 0
% 0.94/3.12 # Backward-subsumed : 38
% 0.94/3.12 # Backward-rewritten : 28
% 0.94/3.12 # Generated clauses : 40012
% 0.94/3.12 # ...of the previous two non-trivial : 34829
% 0.94/3.12 # Contextual simplify-reflections : 412
% 0.94/3.12 # Paramodulations : 39965
% 0.94/3.12 # Factorizations : 8
% 0.94/3.12 # Equation resolutions : 40
% 0.94/3.12 # Current number of processed clauses : 811
% 0.94/3.12 # Positive orientable unit clauses : 142
% 0.94/3.12 # Positive unorientable unit clauses: 13
% 0.94/3.12 # Negative unit clauses : 18
% 0.94/3.12 # Non-unit-clauses : 638
% 0.94/3.12 # Current number of unprocessed clauses: 29766
% 0.94/3.12 # ...number of literals in the above : 99586
% 0.94/3.12 # Current number of archived formulas : 0
% 0.94/3.12 # Current number of archived clauses : 66
% 0.94/3.12 # Clause-clause subsumption calls (NU) : 94201
% 0.94/3.12 # Rec. Clause-clause subsumption calls : 68530
% 0.94/3.12 # Non-unit clause-clause subsumptions : 1697
% 0.94/3.12 # Unit Clause-clause subsumption calls : 1267
% 0.94/3.12 # Rewrite failures with RHS unbound : 0
% 0.94/3.12 # BW rewrite match attempts : 4030
% 0.94/3.12 # BW rewrite match successes : 95
% 0.94/3.12 # Condensation attempts : 0
% 0.94/3.12 # Condensation successes : 0
% 0.94/3.12 # Termbank termtop insertions : 2052274
% 0.94/3.12
% 0.94/3.12 # -------------------------------------------------
% 0.94/3.12 # User time : 1.407 s
% 0.94/3.12 # System time : 0.017 s
% 0.94/3.12 # Total time : 1.424 s
% 0.94/3.12 # Maximum resident set size: 42220 pages
%------------------------------------------------------------------------------