TSTP Solution File: SCT171_1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SCT171_1 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 : 300s
% DateTime : Tue May 21 02:45:09 EDT 2024
% Result : Theorem 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 49
% Syntax : Number of formulae : 56 ( 7 unt; 46 typ; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 3 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 20 ( 19 usr)
% Number of type conns : 26 ( 14 >; 12 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 26 ( 26 usr; 13 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
fun_fu383145951l_bool: $tType ).
tff(decl_sort2,type,
fun_fu193278215t_bool: $tType ).
tff(decl_sort3,type,
fun_fu1760369922t_bool: $tType ).
tff(decl_sort4,type,
fun_bo292969573t_bool: $tType ).
tff(decl_sort5,type,
fun_Ar1871347069i_bool: $tType ).
tff(decl_sort6,type,
fun_Ar2100459655t_bool: $tType ).
tff(decl_sort7,type,
fun_nat_fun_nat_bool: $tType ).
tff(decl_sort8,type,
fun_Ar2035712896di_nat: $tType ).
tff(decl_sort9,type,
fun_Ar156616864t_bool: $tType ).
tff(decl_sort10,type,
fun_Ar2047178847t_bool: $tType ).
tff(decl_sort11,type,
fun_Ar2079322857t_bool: $tType ).
tff(decl_sort12,type,
fun_Ar1757019876t_bool: $tType ).
tff(decl_sort13,type,
arrow_1621810872le_alt: $tType ).
tff(decl_sort14,type,
nat: $tType ).
tff(decl_sort15,type,
fun_Pr1639951081t_bool: $tType ).
tff(decl_sort16,type,
fun_Ar2040671475t_bool: $tType ).
tff(decl_sort17,type,
bool: $tType ).
tff(decl_sort18,type,
produc624534567le_alt: $tType ).
tff(decl_sort19,type,
fun_fu50365883t_bool: $tType ).
tff(decl_25,type,
arrow_2009189698_above: fun_fu193278215t_bool ).
tff(decl_27,type,
arrow_1126550734_mkbot: fun_fu1760369922t_bool ).
tff(decl_28,type,
arrow_1275257820_mktop: fun_fu1760369922t_bool ).
tff(decl_30,type,
cOMBB_124649523e_indi: ( fun_bo292969573t_bool * fun_Ar1871347069i_bool ) > fun_Ar2100459655t_bool ).
tff(decl_31,type,
cOMBB_1514803447e_indi: ( fun_nat_fun_nat_bool * fun_Ar2035712896di_nat ) > fun_Ar156616864t_bool ).
tff(decl_32,type,
cOMBB_715840641e_indi: ( fun_fu193278215t_bool * fun_Ar2047178847t_bool ) > fun_Ar2079322857t_bool ).
tff(decl_33,type,
cOMBB_1932856316e_indi: ( fun_fu1760369922t_bool * fun_Ar2047178847t_bool ) > fun_Ar1757019876t_bool ).
tff(decl_34,type,
cOMBC_1994570734t_bool: ( fun_Ar2079322857t_bool * arrow_1621810872le_alt ) > fun_Ar1757019876t_bool ).
tff(decl_35,type,
cOMBC_377836265t_bool: ( fun_Ar1757019876t_bool * arrow_1621810872le_alt ) > fun_Ar2047178847t_bool ).
tff(decl_36,type,
cOMBC_998415407t_bool: ( fun_Ar156616864t_bool * nat ) > fun_Ar1871347069i_bool ).
tff(decl_61,type,
cOMBS_1833320732t_bool: ( fun_Ar2100459655t_bool * fun_Ar2047178847t_bool ) > fun_Ar2040671475t_bool ).
tff(decl_62,type,
cOMBS_1688227464t_bool: ( fun_Ar2040671475t_bool * fun_Ar2047178847t_bool ) > fun_Ar2047178847t_bool ).
tff(decl_83,type,
if_fun95824985t_bool: fun_bo292969573t_bool ).
tff(decl_85,type,
ord_less_nat: fun_nat_fun_nat_bool ).
tff(decl_98,type,
produc170576535le_alt: ( arrow_1621810872le_alt * arrow_1621810872le_alt ) > produc624534567le_alt ).
tff(decl_106,type,
fequal_nat: fun_nat_fun_nat_bool ).
tff(decl_148,type,
hAPP_f718157575t_bool: ( fun_fu50365883t_bool * fun_Ar2047178847t_bool ) > fun_Pr1639951081t_bool ).
tff(decl_186,type,
hAPP_f1944886577l_bool: ( fun_fu383145951l_bool * fun_Pr1639951081t_bool ) > bool ).
tff(decl_200,type,
hBOOL: bool > $o ).
tff(decl_220,type,
member1484933012le_alt: produc624534567le_alt > fun_fu383145951l_bool ).
tff(decl_221,type,
f: fun_fu50365883t_bool ).
tff(decl_224,type,
p: fun_Ar2047178847t_bool ).
tff(decl_227,type,
c: arrow_1621810872le_alt ).
tff(decl_228,type,
d: arrow_1621810872le_alt ).
tff(decl_229,type,
e: arrow_1621810872le_alt ).
tff(decl_230,type,
h: fun_Ar2035712896di_nat ).
tff(decl_231,type,
n: nat ).
tff(conj_0,conjecture,
hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(fact_14_PW,axiom,
( hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p)))
<=> hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(ord_less_nat,h),n)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1275257820_mktop,p),e)),cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(fequal_nat,h),n)),cOMBC_377836265t_bool(cOMBC_1994570734t_bool(cOMBB_715840641e_indi(arrow_2009189698_above,p),c),e)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1126550734_mkbot,p),e)))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_PW) ).
tff(fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(ord_less_nat,h),n)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1275257820_mktop,p),e)),cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(fequal_nat,h),n)),cOMBC_377836265t_bool(cOMBC_1994570734t_bool(cOMBB_715840641e_indi(arrow_2009189698_above,p),c),e)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1126550734_mkbot,p),e)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
tff(c_0_3,negated_conjecture,
~ hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
tff(c_0_4,plain,
( ( ~ hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p)))
| hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(ord_less_nat,h),n)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1275257820_mktop,p),e)),cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(fequal_nat,h),n)),cOMBC_377836265t_bool(cOMBC_1994570734t_bool(cOMBB_715840641e_indi(arrow_2009189698_above,p),c),e)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1126550734_mkbot,p),e)))))) )
& ( ~ hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(ord_less_nat,h),n)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1275257820_mktop,p),e)),cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(fequal_nat,h),n)),cOMBC_377836265t_bool(cOMBC_1994570734t_bool(cOMBB_715840641e_indi(arrow_2009189698_above,p),c),e)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1126550734_mkbot,p),e))))))
| hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p))) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_14_PW])]) ).
tff(c_0_5,negated_conjecture,
~ hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p))),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
tcf(c_0_6,plain,
( hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p)))
| ~ hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(ord_less_nat,h),n)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1275257820_mktop,p),e)),cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(fequal_nat,h),n)),cOMBC_377836265t_bool(cOMBC_1994570734t_bool(cOMBB_715840641e_indi(arrow_2009189698_above,p),c),e)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1126550734_mkbot,p),e)))))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
tcf(c_0_7,plain,
hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(ord_less_nat,h),n)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1275257820_mktop,p),e)),cOMBS_1688227464t_bool(cOMBS_1833320732t_bool(cOMBB_124649523e_indi(if_fun95824985t_bool,cOMBC_998415407t_bool(cOMBB_1514803447e_indi(fequal_nat,h),n)),cOMBC_377836265t_bool(cOMBC_1994570734t_bool(cOMBB_715840641e_indi(arrow_2009189698_above,p),c),e)),cOMBC_377836265t_bool(cOMBB_1932856316e_indi(arrow_1126550734_mkbot,p),e)))))),
inference(split_conjunct,[status(thm)],[fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto]) ).
tcf(c_0_8,negated_conjecture,
~ hBOOL(hAPP_f1944886577l_bool(member1484933012le_alt(produc170576535le_alt(c,d)),hAPP_f718157575t_bool(f,p))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]),c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SCT171_1 : TPTP v8.2.0. Released v5.3.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon May 20 00:25:53 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.44 Running first-order theorem proving
% 0.18/0.44 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/benchmark/theBenchmark.p
% 0.18/0.48 # Version: 3.1.0
% 0.18/0.48 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.18/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.18/0.48 # Starting new_bool_3 with 600s (2) cores
% 0.18/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.48 # Starting sh5l with 300s (1) cores
% 0.18/0.48 # new_bool_3 with pid 6563 completed with status 0
% 0.18/0.48 # Result found by new_bool_3
% 0.18/0.48 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.18/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.18/0.48 # Starting new_bool_3 with 600s (2) cores
% 0.18/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.48 # Search class: FGHSS-FSLM32-DFFFFFNN
% 0.18/0.48 # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.18/0.48 # Starting SAT001_MinMin_p005000_rr_RG with 361s (1) cores
% 0.18/0.48 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 61s (1) cores
% 0.18/0.48 # SAT001_MinMin_p005000_rr_RG with pid 6566 completed with status 0
% 0.18/0.48 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.18/0.48 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.18/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.18/0.48 # Starting new_bool_3 with 600s (2) cores
% 0.18/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.48 # Search class: FGHSS-FSLM32-DFFFFFNN
% 0.18/0.48 # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.18/0.48 # Starting SAT001_MinMin_p005000_rr_RG with 361s (1) cores
% 0.18/0.48 # Preprocessing time : 0.003 s
% 0.18/0.48 # Presaturation interreduction done
% 0.18/0.48
% 0.18/0.48 # Proof found!
% 0.18/0.48 # SZS status Theorem
% 0.18/0.48 # SZS output start CNFRefutation
% See solution above
% 0.18/0.48 # Parsed axioms : 558
% 0.18/0.48 # Removed by relevancy pruning/SinE : 474
% 0.18/0.48 # Initial clauses : 175
% 0.18/0.48 # Removed in clause preprocessing : 35
% 0.18/0.48 # Initial clauses in saturation : 140
% 0.18/0.48 # Processed clauses : 145
% 0.18/0.48 # ...of these trivial : 1
% 0.18/0.48 # ...subsumed : 49
% 0.18/0.48 # ...remaining for further processing : 94
% 0.18/0.48 # Other redundant clauses eliminated : 21
% 0.18/0.48 # Clauses deleted for lack of memory : 0
% 0.18/0.48 # Backward-subsumed : 0
% 0.18/0.48 # Backward-rewritten : 0
% 0.18/0.48 # Generated clauses : 19
% 0.18/0.48 # ...of the previous two non-redundant : 19
% 0.18/0.48 # ...aggressively subsumed : 0
% 0.18/0.48 # Contextual simplify-reflections : 0
% 0.18/0.48 # Paramodulations : 0
% 0.18/0.48 # Factorizations : 0
% 0.18/0.48 # NegExts : 0
% 0.18/0.48 # Equation resolutions : 21
% 0.18/0.48 # Disequality decompositions : 0
% 0.18/0.48 # Total rewrite steps : 2
% 0.18/0.48 # ...of those cached : 0
% 0.18/0.48 # Propositional unsat checks : 0
% 0.18/0.48 # Propositional check models : 0
% 0.18/0.48 # Propositional check unsatisfiable : 0
% 0.18/0.48 # Propositional clauses : 0
% 0.18/0.48 # Propositional clauses after purity: 0
% 0.18/0.48 # Propositional unsat core size : 0
% 0.18/0.48 # Propositional preprocessing time : 0.000
% 0.18/0.48 # Propositional encoding time : 0.000
% 0.18/0.48 # Propositional solver time : 0.000
% 0.18/0.48 # Success case prop preproc time : 0.000
% 0.18/0.48 # Success case prop encoding time : 0.000
% 0.18/0.48 # Success case prop solver time : 0.000
% 0.18/0.48 # Current number of processed clauses : 75
% 0.18/0.48 # Positive orientable unit clauses : 7
% 0.18/0.48 # Positive unorientable unit clauses: 0
% 0.18/0.48 # Negative unit clauses : 7
% 0.18/0.48 # Non-unit-clauses : 61
% 0.18/0.48 # Current number of unprocessed clauses: 14
% 0.18/0.48 # ...number of literals in the above : 105
% 0.18/0.48 # Current number of archived formulas : 0
% 0.18/0.48 # Current number of archived clauses : 0
% 0.18/0.48 # Clause-clause subsumption calls (NU) : 1991
% 0.18/0.48 # Rec. Clause-clause subsumption calls : 748
% 0.18/0.48 # Non-unit clause-clause subsumptions : 30
% 0.18/0.48 # Unit Clause-clause subsumption calls : 2
% 0.18/0.48 # Rewrite failures with RHS unbound : 0
% 0.18/0.48 # BW rewrite match attempts : 12
% 0.18/0.48 # BW rewrite match successes : 0
% 0.18/0.48 # Condensation attempts : 0
% 0.18/0.48 # Condensation successes : 0
% 0.18/0.48 # Termbank termtop insertions : 21716
% 0.18/0.48 # Search garbage collected termcells : 4526
% 0.18/0.48
% 0.18/0.48 # -------------------------------------------------
% 0.18/0.48 # User time : 0.013 s
% 0.18/0.48 # System time : 0.004 s
% 0.18/0.48 # Total time : 0.017 s
% 0.18/0.48 # Maximum resident set size: 3328 pages
% 0.18/0.48
% 0.18/0.48 # -------------------------------------------------
% 0.18/0.48 # User time : 0.035 s
% 0.18/0.48 # System time : 0.005 s
% 0.18/0.48 # Total time : 0.040 s
% 0.18/0.48 # Maximum resident set size: 2536 pages
% 0.18/0.48 % E---3.1 exiting
% 0.18/0.48 % E exiting
%------------------------------------------------------------------------------