TSTP Solution File: SWW318+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW318+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n018.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 00:10:33 EDT 2022
% Result : Theorem 0.93s 2.12s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 11 ~; 7 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 31 ( 1 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),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_1) ).
fof(fact_cut,axiom,
! [X4,X13,X14,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X5,X14,X13)
=> ( c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X14)
=> c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X13) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_cut) ).
fof(conj_0,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),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_0) ).
fof(fact_asm,axiom,
! [X4,X13,X5] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)),X13),X4))
=> c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,X13) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_asm) ).
fof(fact_subset__insertI,axiom,
! [X6,X113,X5] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),X113),hAPP(hAPP(c_Set_Oinsert(X5),X6),X113))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_subset__insertI) ).
fof(c_0_5,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_6,plain,
! [X15,X16,X17,X18] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X18,X17,X16)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X18,X15,X17)
| c_Hoare__Mirabelle_Ohoare__derivs(X18,X15,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_cut])]) ).
fof(c_0_7,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),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_5]) ).
cnf(c_0_8,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X4)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),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_10,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),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_7]) ).
cnf(c_0_11,hypothesis,
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,X1,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X1,v_G) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
fof(c_0_12,plain,
! [X14,X15,X16] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X16),tc_HOL_Obool)),X15),X14))
| c_Hoare__Mirabelle_Ohoare__derivs(X16,X14,X15) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_asm])]) ).
fof(c_0_13,plain,
! [X114,X115,X116] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X116,tc_HOL_Obool)),X115),hAPP(hAPP(c_Set_Oinsert(X116),X114),X115))),
inference(variable_rename,[status(thm)],[fact_subset__insertI]) ).
cnf(c_0_14,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),v_G),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,X3)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)),X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X1,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),X2))),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
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
% 0.08/0.12 % Problem : SWW318+1 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.13 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n018.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
% 0.13/0.34 % DateTime : Sun Jun 5 18:45:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.93/2.12 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.93/2.12 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.93/2.12 # Preprocessing time : 0.251 s
% 0.93/2.12
% 0.93/2.12 # Proof found!
% 0.93/2.12 # SZS status Theorem
% 0.93/2.12 # SZS output start CNFRefutation
% See solution above
% 0.93/2.12 # Proof object total steps : 18
% 0.93/2.12 # Proof object clause steps : 8
% 0.93/2.12 # Proof object formula steps : 10
% 0.93/2.12 # Proof object conjectures : 6
% 0.93/2.12 # Proof object clause conjectures : 3
% 0.93/2.12 # Proof object formula conjectures : 3
% 0.93/2.12 # Proof object initial clauses used : 5
% 0.93/2.12 # Proof object initial formulas used : 5
% 0.93/2.12 # Proof object generating inferences : 3
% 0.93/2.12 # Proof object simplifying inferences : 2
% 0.93/2.12 # Training examples: 0 positive, 0 negative
% 0.93/2.12 # Parsed axioms : 5226
% 0.93/2.12 # Removed by relevancy pruning/SinE : 5125
% 0.93/2.12 # Initial clauses : 160
% 0.93/2.12 # Removed in clause preprocessing : 7
% 0.93/2.12 # Initial clauses in saturation : 153
% 0.93/2.12 # Processed clauses : 161
% 0.93/2.12 # ...of these trivial : 3
% 0.93/2.12 # ...subsumed : 32
% 0.93/2.12 # ...remaining for further processing : 126
% 0.93/2.12 # Other redundant clauses eliminated : 6
% 0.93/2.12 # Clauses deleted for lack of memory : 0
% 0.93/2.12 # Backward-subsumed : 0
% 0.93/2.12 # Backward-rewritten : 1
% 0.93/2.12 # Generated clauses : 693
% 0.93/2.12 # ...of the previous two non-trivial : 602
% 0.93/2.12 # Contextual simplify-reflections : 3
% 0.93/2.12 # Paramodulations : 680
% 0.93/2.12 # Factorizations : 0
% 0.93/2.12 # Equation resolutions : 14
% 0.93/2.12 # Current number of processed clauses : 120
% 0.93/2.12 # Positive orientable unit clauses : 26
% 0.93/2.12 # Positive unorientable unit clauses: 3
% 0.93/2.12 # Negative unit clauses : 9
% 0.93/2.12 # Non-unit-clauses : 82
% 0.93/2.12 # Current number of unprocessed clauses: 592
% 0.93/2.12 # ...number of literals in the above : 1775
% 0.93/2.12 # Current number of archived formulas : 0
% 0.93/2.12 # Current number of archived clauses : 1
% 0.93/2.12 # Clause-clause subsumption calls (NU) : 1714
% 0.93/2.12 # Rec. Clause-clause subsumption calls : 1177
% 0.93/2.12 # Non-unit clause-clause subsumptions : 27
% 0.93/2.12 # Unit Clause-clause subsumption calls : 18
% 0.93/2.12 # Rewrite failures with RHS unbound : 0
% 0.93/2.12 # BW rewrite match attempts : 31
% 0.93/2.12 # BW rewrite match successes : 10
% 0.93/2.12 # Condensation attempts : 0
% 0.93/2.12 # Condensation successes : 0
% 0.93/2.12 # Termbank termtop insertions : 171963
% 0.93/2.12
% 0.93/2.12 # -------------------------------------------------
% 0.93/2.12 # User time : 0.269 s
% 0.93/2.12 # System time : 0.012 s
% 0.93/2.12 # Total time : 0.281 s
% 0.93/2.12 # Maximum resident set size: 14016 pages
% 0.93/24.11 eprover: CPU time limit exceeded, terminating
% 0.93/24.12 eprover: CPU time limit exceeded, terminating
% 0.93/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.13 eprover: No such file or directory
% 0.93/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.13 eprover: No such file or directory
% 0.93/24.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.13 eprover: No such file or directory
% 0.93/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.14 eprover: No such file or directory
% 0.93/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.14 eprover: No such file or directory
% 0.93/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.14 eprover: No such file or directory
% 0.93/24.14 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.14 eprover: No such file or directory
% 0.93/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.15 eprover: No such file or directory
% 0.93/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.15 eprover: No such file or directory
% 0.93/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.15 eprover: No such file or directory
% 0.93/24.15 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.15 eprover: No such file or directory
% 0.93/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.16 eprover: No such file or directory
% 0.93/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.16 eprover: No such file or directory
% 0.93/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.16 eprover: No such file or directory
% 0.93/24.16 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.16 eprover: No such file or directory
% 0.93/24.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.17 eprover: No such file or directory
% 0.93/24.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.17 eprover: No such file or directory
% 0.93/24.17 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.17 eprover: No such file or directory
% 0.93/24.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.18 eprover: No such file or directory
% 0.93/24.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.93/24.18 eprover: No such file or directory
% 0.93/24.18 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.18 eprover: No such file or directory
% 0.93/24.19 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.93/24.19 eprover: No such file or directory
%------------------------------------------------------------------------------