TSTP Solution File: SWW474_1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWW474_1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:09:34 EDT 2023
% Result : Theorem 0.36s 0.59s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 27
% Syntax : Number of formulae : 48 ( 16 unt; 19 typ; 0 def)
% Number of atoms : 54 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 20 ~; 18 |; 0 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 17 ( 11 >; 6 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 13 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn; 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
cOMBB_573322273_pname: ( fun_co1814942666_state * fun_pname_com ) > fun_pn447269700_state ).
tff(decl_68,type,
wt: com > bool ).
tff(decl_69,type,
wT_bodies: bool ).
tff(decl_70,type,
body: fun_pname_option_com ).
tff(decl_71,type,
body_1: fun_pname_com ).
tff(decl_80,type,
hoare_Mirabelle_MGT: fun_co1814942666_state ).
tff(decl_81,type,
hoare_1193527299_state: fun_Ho734851753e_bool > fun_fu1783763359l_bool ).
tff(decl_82,type,
hoare_1310879719gleton: bool ).
tff(decl_83,type,
dom_pname_com: fun_pname_option_com > fun_pname_bool ).
tff(decl_86,type,
some_com: com > option_com ).
tff(decl_89,type,
bot_bo454148287e_bool: fun_Ho734851753e_bool ).
tff(decl_109,type,
image_1256224870_state: ( fun_pn447269700_state * fun_pname_bool ) > fun_Ho734851753e_bool ).
tff(decl_128,type,
insert668001005_state: ( hoare_1848483303_state * fun_Ho734851753e_bool ) > fun_Ho734851753e_bool ).
tff(decl_143,type,
hAPP_c379084956_state: ( fun_co1814942666_state * com ) > hoare_1848483303_state ).
tff(decl_148,type,
hAPP_p799580910on_com: ( fun_pname_option_com * pname ) > option_com ).
tff(decl_171,type,
hAPP_f355887345l_bool: ( fun_fu1783763359l_bool * fun_Ho734851753e_bool ) > bool ).
tff(decl_192,type,
hBOOL: bool > $o ).
tff(decl_198,type,
pn: pname ).
tff(decl_199,type,
y: com ).
tff(fact_288_WT__bodiesD,axiom,
! [X449: pname,X450: com] :
( hBOOL(wT_bodies)
=> ( ( hAPP_p799580910on_com(body,X449) = some_com(X450) )
=> hBOOL(wt(X450)) ) ),
file('/export/starexec/sandbox/tmp/tmp.KpPpOX4SnR/E---3.1_31425.p',fact_288_WT__bodiesD) ).
tff(conj_1,hypothesis,
hBOOL(wT_bodies),
file('/export/starexec/sandbox/tmp/tmp.KpPpOX4SnR/E---3.1_31425.p',conj_1) ).
tff(fact_103_MGF,axiom,
! [X170: com] :
( hBOOL(hoare_1310879719gleton)
=> ( hBOOL(wT_bodies)
=> ( hBOOL(wt(X170))
=> hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,X170),bot_bo454148287e_bool))) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.KpPpOX4SnR/E---3.1_31425.p',fact_103_MGF) ).
tff(conj_5,hypothesis,
hAPP_p799580910on_com(body,pn) = some_com(y),
file('/export/starexec/sandbox/tmp/tmp.KpPpOX4SnR/E---3.1_31425.p',conj_5) ).
tff(fact_4_cut,axiom,
! [X1: fun_Ho734851753e_bool,X4: fun_Ho734851753e_bool,X2: fun_Ho734851753e_bool] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X4),X2))
=> ( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),X4))
=> hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),X2)) ) ),
file('/export/starexec/sandbox/tmp/tmp.KpPpOX4SnR/E---3.1_31425.p',fact_4_cut) ).
tff(fact_0_empty,axiom,
! [X1: fun_Ho734851753e_bool] : hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),bot_bo454148287e_bool)),
file('/export/starexec/sandbox/tmp/tmp.KpPpOX4SnR/E---3.1_31425.p',fact_0_empty) ).
tff(conj_0,hypothesis,
hBOOL(hoare_1310879719gleton),
file('/export/starexec/sandbox/tmp/tmp.KpPpOX4SnR/E---3.1_31425.p',conj_0) ).
tff(conj_7,conjecture,
hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
file('/export/starexec/sandbox/tmp/tmp.KpPpOX4SnR/E---3.1_31425.p',conj_7) ).
tff(c_0_8,plain,
! [X624: pname,X625: com] :
( ~ hBOOL(wT_bodies)
| ( hAPP_p799580910on_com(body,X624) != some_com(X625) )
| hBOOL(wt(X625)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_288_WT__bodiesD])]) ).
tcf(c_0_9,plain,
! [X6: pname,X112: com] :
( hBOOL(wt(X112))
| ~ hBOOL(wT_bodies)
| ( hAPP_p799580910on_com(body,X6) != some_com(X112) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
tcf(c_0_10,hypothesis,
hBOOL(wT_bodies),
inference(split_conjunct,[status(thm)],[conj_1]) ).
tff(c_0_11,plain,
! [X620: com] :
( ~ hBOOL(hoare_1310879719gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(wt(X620))
| hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,X620),bot_bo454148287e_bool))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_103_MGF])]) ).
tcf(c_0_12,plain,
! [X6: pname,X112: com] :
( hBOOL(wt(X112))
| ( hAPP_p799580910on_com(body,X6) != some_com(X112) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).
tcf(c_0_13,hypothesis,
hAPP_p799580910on_com(body,pn) = some_com(y),
inference(split_conjunct,[status(thm)],[conj_5]) ).
tff(c_0_14,plain,
! [X769: fun_Ho734851753e_bool,X770: fun_Ho734851753e_bool,X771: fun_Ho734851753e_bool] :
( ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X770),X771))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X769),X770))
| hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X769),X771)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_4_cut])]) ).
tff(c_0_15,plain,
! [X760: fun_Ho734851753e_bool] : hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X760),bot_bo454148287e_bool)),
inference(variable_rename,[status(thm)],[fact_0_empty]) ).
tcf(c_0_16,plain,
! [X112: com] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,X112),bot_bo454148287e_bool)))
| ~ hBOOL(hoare_1310879719gleton)
| ~ hBOOL(wT_bodies)
| ~ hBOOL(wt(X112)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
tcf(c_0_17,hypothesis,
hBOOL(hoare_1310879719gleton),
inference(split_conjunct,[status(thm)],[conj_0]) ).
tcf(c_0_18,hypothesis,
! [X6: pname] :
( hBOOL(wt(y))
| ( hAPP_p799580910on_com(body,X6) != hAPP_p799580910on_com(body,pn) ) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
tcf(c_0_19,plain,
! [X3: fun_Ho734851753e_bool,X2: fun_Ho734851753e_bool,X1: fun_Ho734851753e_bool] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X3),X2))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),X2))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X3),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
tcf(c_0_20,plain,
! [X1: fun_Ho734851753e_bool] : hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),bot_bo454148287e_bool)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
tcf(c_0_21,plain,
! [X112: com] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,X112),bot_bo454148287e_bool)))
| ~ hBOOL(wt(X112)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_10]),c_0_17])]) ).
tcf(c_0_22,hypothesis,
hBOOL(wt(y)),
inference(er,[status(thm)],[c_0_18]) ).
tff(c_0_23,negated_conjecture,
~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_7])]) ).
tcf(c_0_24,plain,
! [X1: fun_Ho734851753e_bool,X2: fun_Ho734851753e_bool] :
( hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),X2))
| ~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),X2)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
tcf(c_0_25,hypothesis,
hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(bot_bo454148287e_bool),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
tcf(c_0_26,negated_conjecture,
~ hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(image_1256224870_state(cOMBB_573322273_pname(hoare_Mirabelle_MGT,body_1),dom_pname_com(body))),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
tcf(c_0_27,hypothesis,
! [X1: fun_Ho734851753e_bool] : hBOOL(hAPP_f355887345l_bool(hoare_1193527299_state(X1),insert668001005_state(hAPP_c379084956_state(hoare_Mirabelle_MGT,y),bot_bo454148287e_bool))),
inference(spm,[status(thm)],[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
% 0.06/0.16 % Problem : SWW474_1 : TPTP v8.1.2. Released v5.3.0.
% 0.06/0.16 % Command : run_E %s %d THM
% 0.16/0.37 % Computer : n011.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 2400
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon Oct 2 22:35:23 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.36/0.53 Running first-order theorem proving
% 0.36/0.54 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.KpPpOX4SnR/E---3.1_31425.p
% 0.36/0.59 # Version: 3.1pre001
% 0.36/0.59 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.36/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.59 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.36/0.59 # Starting new_bool_3 with 600s (2) cores
% 0.36/0.59 # Starting new_bool_1 with 300s (1) cores
% 0.36/0.59 # Starting sh5l with 300s (1) cores
% 0.36/0.59 # new_bool_3 with pid 31506 completed with status 0
% 0.36/0.59 # Result found by new_bool_3
% 0.36/0.59 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.36/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.59 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.36/0.59 # Starting new_bool_3 with 600s (2) cores
% 0.36/0.59 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.36/0.59 # Search class: FGHSM-FSLM31-MFFFFFNN
% 0.36/0.59 # Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 0.36/0.59 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 270s (1) cores
% 0.36/0.59 # Starting new_bool_3 with 61s (1) cores
% 0.36/0.59 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 31509 completed with status 0
% 0.36/0.59 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.36/0.59 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.36/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.59 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.36/0.59 # Starting new_bool_3 with 600s (2) cores
% 0.36/0.59 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.36/0.59 # Search class: FGHSM-FSLM31-MFFFFFNN
% 0.36/0.59 # Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 0.36/0.59 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 270s (1) cores
% 0.36/0.59 # Preprocessing time : 0.004 s
% 0.36/0.59 # Presaturation interreduction done
% 0.36/0.59
% 0.36/0.59 # Proof found!
% 0.36/0.59 # SZS status Theorem
% 0.36/0.59 # SZS output start CNFRefutation
% See solution above
% 0.36/0.59 # Parsed axioms : 613
% 0.36/0.59 # Removed by relevancy pruning/SinE : 480
% 0.36/0.59 # Initial clauses : 195
% 0.36/0.59 # Removed in clause preprocessing : 5
% 0.36/0.59 # Initial clauses in saturation : 190
% 0.36/0.59 # Processed clauses : 345
% 0.36/0.59 # ...of these trivial : 0
% 0.36/0.59 # ...subsumed : 80
% 0.36/0.59 # ...remaining for further processing : 265
% 0.36/0.59 # Other redundant clauses eliminated : 36
% 0.36/0.59 # Clauses deleted for lack of memory : 0
% 0.36/0.59 # Backward-subsumed : 0
% 0.36/0.59 # Backward-rewritten : 4
% 0.36/0.59 # Generated clauses : 343
% 0.36/0.59 # ...of the previous two non-redundant : 210
% 0.36/0.59 # ...aggressively subsumed : 0
% 0.36/0.59 # Contextual simplify-reflections : 0
% 0.36/0.59 # Paramodulations : 302
% 0.36/0.59 # Factorizations : 0
% 0.36/0.59 # NegExts : 0
% 0.36/0.59 # Equation resolutions : 43
% 0.36/0.59 # Total rewrite steps : 138
% 0.36/0.59 # Propositional unsat checks : 0
% 0.36/0.59 # Propositional check models : 0
% 0.36/0.59 # Propositional check unsatisfiable : 0
% 0.36/0.59 # Propositional clauses : 0
% 0.36/0.59 # Propositional clauses after purity: 0
% 0.36/0.59 # Propositional unsat core size : 0
% 0.36/0.59 # Propositional preprocessing time : 0.000
% 0.36/0.59 # Propositional encoding time : 0.000
% 0.36/0.59 # Propositional solver time : 0.000
% 0.36/0.59 # Success case prop preproc time : 0.000
% 0.36/0.59 # Success case prop encoding time : 0.000
% 0.36/0.59 # Success case prop solver time : 0.000
% 0.36/0.59 # Current number of processed clauses : 102
% 0.36/0.59 # Positive orientable unit clauses : 44
% 0.36/0.59 # Positive unorientable unit clauses: 2
% 0.36/0.59 # Negative unit clauses : 6
% 0.36/0.59 # Non-unit-clauses : 50
% 0.36/0.59 # Current number of unprocessed clauses: 180
% 0.36/0.59 # ...number of literals in the above : 379
% 0.36/0.59 # Current number of archived formulas : 0
% 0.36/0.59 # Current number of archived clauses : 129
% 0.36/0.59 # Clause-clause subsumption calls (NU) : 1204
% 0.36/0.59 # Rec. Clause-clause subsumption calls : 787
% 0.36/0.59 # Non-unit clause-clause subsumptions : 59
% 0.36/0.59 # Unit Clause-clause subsumption calls : 42
% 0.36/0.59 # Rewrite failures with RHS unbound : 0
% 0.36/0.59 # BW rewrite match attempts : 101
% 0.36/0.59 # BW rewrite match successes : 26
% 0.36/0.59 # Condensation attempts : 0
% 0.36/0.59 # Condensation successes : 0
% 0.36/0.59 # Termbank termtop insertions : 22035
% 0.36/0.59
% 0.36/0.59 # -------------------------------------------------
% 0.36/0.59 # User time : 0.025 s
% 0.36/0.59 # System time : 0.008 s
% 0.36/0.59 # Total time : 0.033 s
% 0.36/0.59 # Maximum resident set size: 3440 pages
% 0.36/0.59
% 0.36/0.59 # -------------------------------------------------
% 0.36/0.59 # User time : 0.059 s
% 0.36/0.59 # System time : 0.013 s
% 0.36/0.59 # Total time : 0.073 s
% 0.36/0.59 # Maximum resident set size: 2708 pages
% 0.36/0.59 % E---3.1 exiting
% 0.36/0.59 % E---3.1 exiting
%------------------------------------------------------------------------------