TSTP Solution File: SWW474+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW474+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n032.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 00:10:57 EDT 2022
% Result : Theorem 0.18s 1.38s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 17 unt; 0 def)
% Number of atoms : 53 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 20 ~; 17 |; 0 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 26 ( 5 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_288_WT__bodiesD,axiom,
! [X29,X30] :
( hBOOL(wT_bodies)
=> ( hAPP_p799580910on_com(body,X29) = some_com(X30)
=> hBOOL(wt(X30)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_288_WT__bodiesD) ).
fof(conj_1,hypothesis,
hBOOL(wT_bodies),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_1) ).
fof(fact_103_MGF,axiom,
! [X15] :
( hBOOL(hoare_165779456gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(wt(X15))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X15),bot_bo620288102e_bool))) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_103_MGF) ).
fof(conj_5,hypothesis,
hAPP_p799580910on_com(body,pn) = some_com(y),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_5) ).
fof(conj_0,hypothesis,
hBOOL(hoare_165779456gleton),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(conj_7,conjecture,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_7) ).
fof(fact_4_cut,axiom,
! [X3,X6,X4] :
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X6),X4))
=> ( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X6))
=> hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X4)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_4_cut) ).
fof(fact_0_empty,axiom,
! [X3] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),bot_bo620288102e_bool)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_0_empty) ).
fof(c_0_8,plain,
! [X31,X32] :
( ~ hBOOL(wT_bodies)
| hAPP_p799580910on_com(body,X31) != some_com(X32)
| hBOOL(wt(X32)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_288_WT__bodiesD])])])]) ).
cnf(c_0_9,plain,
( hBOOL(wt(X1))
| hAPP_p799580910on_com(body,X2) != some_com(X1)
| ~ hBOOL(wT_bodies) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_10,hypothesis,
hBOOL(wT_bodies),
inference(split_conjunct,[status(thm)],[conj_1]) ).
fof(c_0_11,plain,
! [X16] :
( ~ hBOOL(hoare_165779456gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(wt(X16))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X16),bot_bo620288102e_bool))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_103_MGF])])])]) ).
cnf(c_0_12,plain,
( hBOOL(wt(X1))
| hAPP_p799580910on_com(body,X2) != some_com(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
cnf(c_0_13,hypothesis,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(split_conjunct,[status(thm)],[conj_5]) ).
cnf(c_0_14,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1),bot_bo620288102e_bool)))
| ~ hBOOL(wt(X1))
| ~ hBOOL(wT_bodies)
| ~ hBOOL(hoare_165779456gleton) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,hypothesis,
hBOOL(hoare_165779456gleton),
inference(split_conjunct,[status(thm)],[conj_0]) ).
cnf(c_0_16,hypothesis,
( hBOOL(wt(y))
| hAPP_p799580910on_com(body,X1) != hAPP_p799580910on_com(body,pn) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_17,negated_conjecture,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(assume_negation,[status(cth)],[conj_7]) ).
fof(c_0_18,plain,
! [X7,X8,X9] :
( ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X8),X9))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X7),X8))
| hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X7),X9)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_cut])]) ).
cnf(c_0_19,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,X1),bot_bo620288102e_bool)))
| ~ hBOOL(wt(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_10]),c_0_15])]) ).
cnf(c_0_20,hypothesis,
hBOOL(wt(y)),
inference(er,[status(thm)],[c_0_16]) ).
fof(c_0_21,plain,
! [X4] : hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X4),bot_bo620288102e_bool)),
inference(variable_rename,[status(thm)],[fact_0_empty]) ).
fof(c_0_22,negated_conjecture,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X2))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),X3))
| ~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,hypothesis,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(bot_bo620288102e_bool),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),bot_bo620288102e_bool)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
~ hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(image_2003357581_state(cOMBB_699532858_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,hypothesis,
hBOOL(hAPP_f971112728l_bool(hoare_1598289066_state(X1),insert1415133716_state(hAPP_c1126217667_state(hoare_Mirabelle_MGT,y),bot_bo620288102e_bool))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWW474+1 : TPTP v8.1.0. Released v5.3.0.
% 0.02/0.10 % Command : run_ET %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Mon Jun 6 02:56:49 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.18/1.38 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.18/1.38 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.18/1.38 # Preprocessing time : 0.020 s
% 0.18/1.38
% 0.18/1.38 # Proof found!
% 0.18/1.38 # SZS status Theorem
% 0.18/1.38 # SZS output start CNFRefutation
% See solution above
% 0.18/1.38 # Proof object total steps : 29
% 0.18/1.38 # Proof object clause steps : 15
% 0.18/1.38 # Proof object formula steps : 14
% 0.18/1.38 # Proof object conjectures : 5
% 0.18/1.38 # Proof object clause conjectures : 2
% 0.18/1.38 # Proof object formula conjectures : 3
% 0.18/1.38 # Proof object initial clauses used : 8
% 0.18/1.38 # Proof object initial formulas used : 8
% 0.18/1.38 # Proof object generating inferences : 4
% 0.18/1.38 # Proof object simplifying inferences : 9
% 0.18/1.38 # Training examples: 0 positive, 0 negative
% 0.18/1.38 # Parsed axioms : 428
% 0.18/1.38 # Removed by relevancy pruning/SinE : 327
% 0.18/1.38 # Initial clauses : 154
% 0.18/1.38 # Removed in clause preprocessing : 4
% 0.18/1.38 # Initial clauses in saturation : 150
% 0.18/1.38 # Processed clauses : 169
% 0.18/1.38 # ...of these trivial : 0
% 0.18/1.38 # ...subsumed : 25
% 0.18/1.38 # ...remaining for further processing : 144
% 0.18/1.38 # Other redundant clauses eliminated : 13
% 0.18/1.38 # Clauses deleted for lack of memory : 0
% 0.18/1.38 # Backward-subsumed : 0
% 0.18/1.38 # Backward-rewritten : 4
% 0.18/1.38 # Generated clauses : 295
% 0.18/1.38 # ...of the previous two non-trivial : 219
% 0.18/1.38 # Contextual simplify-reflections : 1
% 0.18/1.38 # Paramodulations : 276
% 0.18/1.38 # Factorizations : 0
% 0.18/1.38 # Equation resolutions : 20
% 0.18/1.38 # Current number of processed clauses : 128
% 0.18/1.38 # Positive orientable unit clauses : 28
% 0.18/1.38 # Positive unorientable unit clauses: 1
% 0.18/1.38 # Negative unit clauses : 3
% 0.18/1.38 # Non-unit-clauses : 96
% 0.18/1.38 # Current number of unprocessed clauses: 199
% 0.18/1.38 # ...number of literals in the above : 636
% 0.18/1.38 # Current number of archived formulas : 0
% 0.18/1.38 # Current number of archived clauses : 4
% 0.18/1.38 # Clause-clause subsumption calls (NU) : 2019
% 0.18/1.38 # Rec. Clause-clause subsumption calls : 1051
% 0.18/1.38 # Non-unit clause-clause subsumptions : 22
% 0.18/1.38 # Unit Clause-clause subsumption calls : 133
% 0.18/1.38 # Rewrite failures with RHS unbound : 0
% 0.18/1.38 # BW rewrite match attempts : 47
% 0.18/1.38 # BW rewrite match successes : 6
% 0.18/1.38 # Condensation attempts : 0
% 0.18/1.38 # Condensation successes : 0
% 0.18/1.38 # Termbank termtop insertions : 20930
% 0.18/1.38
% 0.18/1.38 # -------------------------------------------------
% 0.18/1.38 # User time : 0.029 s
% 0.18/1.38 # System time : 0.001 s
% 0.18/1.38 # Total time : 0.030 s
% 0.18/1.38 # Maximum resident set size: 4832 pages
% 0.18/23.38 eprover: CPU time limit exceeded, terminating
% 0.18/23.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.39 eprover: No such file or directory
% 0.18/23.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.39 eprover: No such file or directory
% 0.18/23.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.40 eprover: No such file or directory
% 0.18/23.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.40 eprover: No such file or directory
% 0.18/23.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.40 eprover: No such file or directory
% 0.18/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.41 eprover: No such file or directory
% 0.18/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.41 eprover: No such file or directory
% 0.18/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.41 eprover: No such file or directory
% 0.18/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.42 eprover: No such file or directory
% 0.18/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.42 eprover: No such file or directory
% 0.18/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.42 eprover: No such file or directory
%------------------------------------------------------------------------------