%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV660+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:35:23 PM UTC 2026
% Result : Theorem 0.52s 0.88s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 69 ( 23 unt; 0 def)
% Number of atoms : 191 ( 24 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 195 ( 73 ~; 82 |; 19 &)
% ( 7 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-5 aty)
% Number of variables : 143 ( 1 sgn 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('_HAMMER_GOAL',conjecture,
( cm = cn
=> ( cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,cmonads_2emon___24a2(cM,cB),cf,cg)
=> cmonads_2ebind___24a5(cM,cA,cB,cm,cf) = cmonads_2ebind___24a5(cM,cA,cB,cn,cg) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof('$adef_monads.mon_$a2',axiom,
! [X2207,X2208] : happ(happ(cmonads_2emon,X2207),X2208) = cmonads_2emon___24a2(X2207,X2208),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$adef_monads.mon_$a2') ).
fof('$_type_1',axiom,
! [X1791] :
( c_24__type__1___24t(X1791)
<=> ! [X1] :
( cA___24t(X1)
=> cmonads_2emon___24t(cM,cB,happ(X1791,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_type_1') ).
fof('$tdef_A',axiom,
! [X2229] :
( cA___24t(X2229)
<=> t(X2229,cA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$tdef_A') ).
fof('$_def_QuicksortComplexity.util.ext_eq',axiom,
! [X60,X68,X114,X152] :
( cQuicksortComplexity_2eutil_2eext__eq___24a4(X60,X68,X114,X152)
<=> ! [X142] :
( t(X142,X60)
=> happ(X114,X142) = happ(X152,X142) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_def_QuicksortComplexity.util.ext_eq') ).
fof('$tdef_monads.mon',axiom,
! [X2207,X2208,X2229] :
( cmonads_2emon___24t(X2207,X2208,X2229)
<=> t(X2229,cmonads_2emon___24a2(X2207,X2208)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$tdef_monads.mon') ).
fof('$_type_58',axiom,
! [X1,X2,X2105] :
( c_24__type__58___24t(X1,X2,X2105)
<=> ! [X3] :
( t(X3,X1)
=> t(happ(X2105,X3),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_type_58') ).
fof('$_typeof_g',axiom,
c_24__type__1___24t(cg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_g') ).
fof('$_def_monads.extMonad',axiom,
! [X405] :
( cmonads_2eextMonad___24a1(X405)
<=> ! [X294] :
( cType___24t(X294)
=> ! [X406] :
( cType___24t(X406)
=> ! [X141] :
( c_24__type__172___24t(X405,X294,X406,X141)
=> ! [X407] :
( c_24__type__172___24t(X405,X294,X406,X407)
=> ( cQuicksortComplexity_2eutil_2eext__eq___24a4(X294,cmonads_2emon___24a2(X405,X406),X141,X407)
=> ! [X408] :
( cmonads_2emon___24t(X405,X294,X408)
=> cmonads_2ebind___24a5(X405,X294,X406,X408,X141) = cmonads_2ebind___24a5(X405,X294,X406,X408,X407) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_def_monads.extMonad') ).
fof('$_type_172',axiom,
! [X1,X2,X3,X1860] :
( c_24__type__172___24t(X1,X2,X3,X1860)
<=> ! [X4] :
( t(X4,X2)
=> cmonads_2emon___24t(X1,X3,happ(X1860,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_type_172') ).
fof(e,axiom,
cmonads_2eextMonad___24a1(cM),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e) ).
fof('$_typeof_B',axiom,
cType___24t(cB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_B') ).
fof('$_typeof_A',axiom,
cType___24t(cA),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_A') ).
fof('$_typeof_m',axiom,
cmonads_2emon___24t(cM,cA,cm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$_typeof_m') ).
fof(c_0_14,negated_conjecture,
~ ( cm = cn
=> ( cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,cmonads_2emon___24a2(cM,cB),cf,cg)
=> cmonads_2ebind___24a5(cM,cA,cB,cm,cf) = cmonads_2ebind___24a5(cM,cA,cB,cn,cg) ) ),
inference(assume_negation,[status(cth)],['_HAMMER_GOAL']) ).
fof(c_0_15,negated_conjecture,
( cmonads_2ebind___24a5(cM,cA,cB,cm,cf) != cmonads_2ebind___24a5(cM,cA,cB,cn,cg)
& cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,cmonads_2emon___24a2(cM,cB),cf,cg)
& cm = cn ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
fof(c_0_16,plain,
! [X2261,X2262] : happ(happ(cmonads_2emon,X2261),X2262) = cmonads_2emon___24a2(X2261,X2262),
inference(variable_rename,[status(thm)],['$adef_monads.mon_$a2']) ).
fof(c_0_17,plain,
! [X2230,X2231,X2232] :
( ( c_24__type__1___24t(X2232)
| ~ cmonads_2emon___24t(cM,cB,happ(X2232,esk1_1(X2232))) )
& ( c_24__type__1___24t(X2232)
| cA___24t(esk1_1(X2232)) )
& ( cmonads_2emon___24t(cM,cB,happ(X2230,X2231))
| ~ cA___24t(X2231)
| ~ c_24__type__1___24t(X2230) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['$_type_1'])])])])])])]) ).
fof(c_0_18,plain,
! [X2266] :
( ( cA___24t(X2266)
| ~ t(X2266,cA) )
& ( t(X2266,cA)
| ~ cA___24t(X2266) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['$tdef_A'])])]) ).
fof(c_0_19,plain,
! [X2234,X2235,X2236,X2237,X2238,X2239,X2240,X2241,X2242] :
( ( cQuicksortComplexity_2eutil_2eext__eq___24a4(X2239,X2240,X2241,X2242)
| happ(X2241,esk2_4(X2239,X2240,X2241,X2242)) != happ(X2242,esk2_4(X2239,X2240,X2241,X2242)) )
& ( cQuicksortComplexity_2eutil_2eext__eq___24a4(X2239,X2240,X2241,X2242)
| t(esk2_4(X2239,X2240,X2241,X2242),X2239) )
& ( happ(X2236,X2238) = happ(X2237,X2238)
| ~ t(X2238,X2234)
| ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(X2234,X2235,X2236,X2237) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['$_def_QuicksortComplexity.util.ext_eq'])])])])])])]) ).
cnf(c_0_20,negated_conjecture,
cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,cmonads_2emon___24a2(cM,cB),cf,cg),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
happ(happ(cmonads_2emon,X1),X2) = cmonads_2emon___24a2(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_22,plain,
! [X2263,X2264,X2265] :
( ( cmonads_2emon___24t(X2263,X2264,X2265)
| ~ t(X2265,cmonads_2emon___24a2(X2263,X2264)) )
& ( t(X2265,cmonads_2emon___24a2(X2263,X2264))
| ~ cmonads_2emon___24t(X2263,X2264,X2265) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['$tdef_monads.mon'])])]) ).
cnf(c_0_23,plain,
( ~ cA___24t(X2)
| ~ c_24__type__1___24t(X1)
| cmonads_2emon___24t(cM,cB,happ(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( ~ t(X1,cA)
| cA___24t(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_25,plain,
! [X2274,X2275,X2276,X2277,X2278,X2279,X2280] :
( ( c_24__type__58___24t(X2278,X2279,X2280)
| ~ t(happ(X2280,esk8_3(X2278,X2279,X2280)),X2279) )
& ( c_24__type__58___24t(X2278,X2279,X2280)
| t(esk8_3(X2278,X2279,X2280),X2278) )
& ( t(happ(X2276,X2277),X2275)
| ~ t(X2277,X2274)
| ~ c_24__type__58___24t(X2274,X2275,X2276) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['$_type_58'])])])])])])]) ).
cnf(c_0_26,plain,
( ~ t(X5,X1)
| ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(X1,X2,X3,X4)
| happ(X3,X5) = happ(X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,negated_conjecture,
cQuicksortComplexity_2eutil_2eext__eq___24a4(cA,happ(happ(cmonads_2emon,cM),cB),cf,cg),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,plain,
( ~ cmonads_2emon___24t(X1,X2,X3)
| t(X3,cmonads_2emon___24a2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
( ~ t(X2,cA)
| ~ c_24__type__1___24t(X1)
| cmonads_2emon___24t(cM,cB,happ(X1,X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
( c_24__type__58___24t(X1,X2,X3)
| t(esk8_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,negated_conjecture,
( ~ t(X1,cA)
| happ(cg,X1) = happ(cf,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
( ~ t(happ(X1,esk8_3(X2,X3,X1)),X3)
| c_24__type__58___24t(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,plain,
( ~ cmonads_2emon___24t(X2,X3,X1)
| t(X1,happ(happ(cmonads_2emon,X2),X3)) ),
inference(rw,[status(thm)],[c_0_28,c_0_21]) ).
cnf(c_0_34,plain,
( ~ c_24__type__1___24t(X3)
| cmonads_2emon___24t(cM,cB,happ(X3,esk8_3(cA,X1,X2)))
| c_24__type__58___24t(cA,X1,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
( c_24__type__58___24t(cA,X1,X2)
| happ(cg,esk8_3(cA,X1,X2)) = happ(cf,esk8_3(cA,X1,X2)) ),
inference(spm,[status(thm)],[c_0_31,c_0_30]) ).
cnf(c_0_36,plain,
c_24__type__1___24t(cg),
inference(split_conjunct,[status(thm)],['$_typeof_g']) ).
cnf(c_0_37,plain,
( ~ cmonads_2emon___24t(X2,X3,happ(X4,esk8_3(X1,happ(happ(cmonads_2emon,X2),X3),X4)))
| c_24__type__58___24t(X1,happ(happ(cmonads_2emon,X2),X3),X4) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,negated_conjecture,
( cmonads_2emon___24t(cM,cB,happ(cf,esk8_3(cA,X1,X2)))
| c_24__type__58___24t(cA,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_39,plain,
( ~ t(X4,X1)
| ~ c_24__type__58___24t(X1,X2,X3)
| t(happ(X3,X4),X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_40,negated_conjecture,
c_24__type__58___24t(cA,happ(happ(cmonads_2emon,cM),cB),cf),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_41,plain,
! [X2249,X2250,X2251,X2252,X2253,X2254,X2255] :
( ( cmonads_2eextMonad___24a1(X2255)
| cmonads_2ebind___24a5(X2255,esk3_1(X2255),esk4_1(X2255),esk7_1(X2255),esk5_1(X2255)) != cmonads_2ebind___24a5(X2255,esk3_1(X2255),esk4_1(X2255),esk7_1(X2255),esk6_1(X2255)) )
& ( cmonads_2eextMonad___24a1(X2255)
| cmonads_2emon___24t(X2255,esk3_1(X2255),esk7_1(X2255)) )
& ( cmonads_2eextMonad___24a1(X2255)
| cQuicksortComplexity_2eutil_2eext__eq___24a4(esk3_1(X2255),cmonads_2emon___24a2(X2255,esk4_1(X2255)),esk5_1(X2255),esk6_1(X2255)) )
& ( cmonads_2eextMonad___24a1(X2255)
| c_24__type__172___24t(X2255,esk3_1(X2255),esk4_1(X2255),esk6_1(X2255)) )
& ( cmonads_2eextMonad___24a1(X2255)
| c_24__type__172___24t(X2255,esk3_1(X2255),esk4_1(X2255),esk5_1(X2255)) )
& ( cmonads_2eextMonad___24a1(X2255)
| cType___24t(esk4_1(X2255)) )
& ( cmonads_2eextMonad___24a1(X2255)
| cType___24t(esk3_1(X2255)) )
& ( cmonads_2ebind___24a5(X2249,X2250,X2251,X2254,X2252) = cmonads_2ebind___24a5(X2249,X2250,X2251,X2254,X2253)
| ~ cmonads_2emon___24t(X2249,X2250,X2254)
| ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(X2250,cmonads_2emon___24a2(X2249,X2251),X2252,X2253)
| ~ c_24__type__172___24t(X2249,X2250,X2251,X2253)
| ~ c_24__type__172___24t(X2249,X2250,X2251,X2252)
| ~ cType___24t(X2251)
| ~ cType___24t(X2250)
| ~ cmonads_2eextMonad___24a1(X2249) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['$_def_monads.extMonad'])])])])])])]) ).
cnf(c_0_42,plain,
( ~ t(X1,cmonads_2emon___24a2(X2,X3))
| cmonads_2emon___24t(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_43,negated_conjecture,
( ~ t(happ(cf,esk8_3(cA,X1,cg)),X1)
| c_24__type__58___24t(cA,X1,cg) ),
inference(spm,[status(thm)],[c_0_32,c_0_35]) ).
cnf(c_0_44,negated_conjecture,
( ~ t(X1,cA)
| t(happ(cf,X1),happ(happ(cmonads_2emon,cM),cB)) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,plain,
( ~ cmonads_2emon___24t(X1,X2,X6)
| ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(X2,cmonads_2emon___24a2(X1,X3),X4,X5)
| ~ c_24__type__172___24t(X1,X2,X3,X5)
| ~ c_24__type__172___24t(X1,X2,X3,X4)
| ~ cType___24t(X3)
| ~ cType___24t(X2)
| ~ cmonads_2eextMonad___24a1(X1)
| cmonads_2ebind___24a5(X1,X2,X3,X6,X4) = cmonads_2ebind___24a5(X1,X2,X3,X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_46,plain,
! [X2292,X2293,X2294,X2295,X2296,X2297,X2298,X2299,X2300] :
( ( c_24__type__172___24t(X2297,X2298,X2299,X2300)
| ~ cmonads_2emon___24t(X2297,X2299,happ(X2300,esk10_4(X2297,X2298,X2299,X2300))) )
& ( c_24__type__172___24t(X2297,X2298,X2299,X2300)
| t(esk10_4(X2297,X2298,X2299,X2300),X2298) )
& ( cmonads_2emon___24t(X2292,X2294,happ(X2295,X2296))
| ~ t(X2296,X2293)
| ~ c_24__type__172___24t(X2292,X2293,X2294,X2295) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],['$_type_172'])])])])])])]) ).
cnf(c_0_47,plain,
( ~ t(X3,happ(happ(cmonads_2emon,X1),X2))
| cmonads_2emon___24t(X1,X2,X3) ),
inference(rw,[status(thm)],[c_0_42,c_0_21]) ).
cnf(c_0_48,negated_conjecture,
c_24__type__58___24t(cA,happ(happ(cmonads_2emon,cM),cB),cg),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_30]) ).
cnf(c_0_49,negated_conjecture,
cmonads_2ebind___24a5(cM,cA,cB,cm,cf) != cmonads_2ebind___24a5(cM,cA,cB,cn,cg),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_50,negated_conjecture,
cm = cn,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_51,plain,
( ~ cType___24t(X2)
| ~ cType___24t(X3)
| ~ cQuicksortComplexity_2eutil_2eext__eq___24a4(X2,happ(happ(cmonads_2emon,X1),X3),X5,X6)
| ~ cmonads_2eextMonad___24a1(X1)
| ~ c_24__type__172___24t(X1,X2,X3,X5)
| ~ c_24__type__172___24t(X1,X2,X3,X6)
| ~ cmonads_2emon___24t(X1,X2,X4)
| cmonads_2ebind___24a5(X1,X2,X3,X4,X5) = cmonads_2ebind___24a5(X1,X2,X3,X4,X6) ),
inference(rw,[status(thm)],[c_0_45,c_0_21]) ).
cnf(c_0_52,plain,
cmonads_2eextMonad___24a1(cM),
inference(split_conjunct,[status(thm)],[e]) ).
cnf(c_0_53,plain,
cType___24t(cB),
inference(split_conjunct,[status(thm)],['$_typeof_B']) ).
cnf(c_0_54,plain,
cType___24t(cA),
inference(split_conjunct,[status(thm)],['$_typeof_A']) ).
cnf(c_0_55,plain,
( ~ cmonads_2emon___24t(X1,X2,happ(X3,esk10_4(X1,X4,X2,X3)))
| c_24__type__172___24t(X1,X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_56,negated_conjecture,
( ~ t(X1,cA)
| cmonads_2emon___24t(cM,cB,happ(cf,X1)) ),
inference(spm,[status(thm)],[c_0_47,c_0_44]) ).
cnf(c_0_57,negated_conjecture,
( ~ t(X1,cA)
| t(happ(cg,X1),happ(happ(cmonads_2emon,cM),cB)) ),
inference(spm,[status(thm)],[c_0_39,c_0_48]) ).
cnf(c_0_58,negated_conjecture,
cmonads_2ebind___24a5(cM,cA,cB,cm,cg) != cmonads_2ebind___24a5(cM,cA,cB,cm,cf),
inference(rw,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_59,negated_conjecture,
( ~ c_24__type__172___24t(cM,cA,cB,cf)
| ~ c_24__type__172___24t(cM,cA,cB,cg)
| ~ cmonads_2emon___24t(cM,cA,X1)
| cmonads_2ebind___24a5(cM,cA,cB,X1,cg) = cmonads_2ebind___24a5(cM,cA,cB,X1,cf) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_27]),c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_60,plain,
cmonads_2emon___24t(cM,cA,cm),
inference(split_conjunct,[status(thm)],['$_typeof_m']) ).
cnf(c_0_61,negated_conjecture,
( ~ t(esk10_4(cM,X1,cB,cf),cA)
| c_24__type__172___24t(cM,X1,cB,cf) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_62,plain,
( c_24__type__172___24t(X1,X2,X3,X4)
| t(esk10_4(X1,X2,X3,X4),X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_63,negated_conjecture,
( ~ t(X1,cA)
| cmonads_2emon___24t(cM,cB,happ(cg,X1)) ),
inference(spm,[status(thm)],[c_0_47,c_0_57]) ).
cnf(c_0_64,negated_conjecture,
( ~ c_24__type__172___24t(cM,cA,cB,cf)
| ~ c_24__type__172___24t(cM,cA,cB,cg) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).
cnf(c_0_65,negated_conjecture,
c_24__type__172___24t(cM,cA,cB,cf),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_66,negated_conjecture,
( ~ t(esk10_4(cM,X1,cB,cg),cA)
| c_24__type__172___24t(cM,X1,cB,cg) ),
inference(spm,[status(thm)],[c_0_55,c_0_63]) ).
cnf(c_0_67,negated_conjecture,
~ c_24__type__172___24t(cM,cA,cB,cg),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_65])]) ).
cnf(c_0_68,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_62]),c_0_67]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEV660+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n016.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 07:39:07 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.52 Running first-order theorem proving
% 0.22/0.52 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.52/0.88 % Version: 3.5.1
% 0.52/0.88 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.52/0.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.88 % Starting new_bool_3 with 900s (3) cores
% 0.52/0.88 % Starting new_bool_1 with 900s (3) cores
% 0.52/0.88 % Starting sh5l with 300s (1) cores
% 0.52/0.88 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 0.52/0.88 % new_bool_1 with pid 1915675 completed with status 0
% 0.52/0.88 % Result found by new_bool_1
% 0.52/0.88 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.52/0.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.88 % Starting new_bool_3 with 900s (3) cores
% 0.52/0.88 % Starting new_bool_1 with 900s (3) cores
% 0.52/0.88 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.52/0.88 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.52/0.88 % Search class: FGUSS-FFMM32-DFFFFFNN
% 0.52/0.88 % partial match(1): FGHSS-FFMM32-DFFFFFNN
% 0.52/0.88 % Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 0.52/0.88 % Starting SubtermCWHack with 91s (1) cores
% 0.52/0.88 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 450s (1) cores
% 0.52/0.88 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S032N with 113s (1) cores
% 0.52/0.88 % G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 1915682 completed with status 0
% 0.52/0.88 % Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 0.52/0.88 % Preprocessing class: FMLLSMLLSSSNFFN.
% 0.52/0.88 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.52/0.88 % Starting new_bool_3 with 900s (3) cores
% 0.52/0.88 % Starting new_bool_1 with 900s (3) cores
% 0.52/0.88 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.52/0.88 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.52/0.88 % Search class: FGUSS-FFMM32-DFFFFFNN
% 0.52/0.88 % partial match(1): FGHSS-FFMM32-DFFFFFNN
% 0.52/0.88 % Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 0.52/0.88 % Starting SubtermCWHack with 91s (1) cores
% 0.52/0.88 % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 450s (1) cores
% 0.52/0.88 % Preprocessing time : 0.004 s
% 0.52/0.88 % Presaturation interreduction done
% 0.52/0.88
% 0.52/0.88 % Proof found!
% 0.52/0.88 % SZS status Theorem
% 0.52/0.88 % SZS output start CNFRefutation
% See solution above
% 0.52/0.88 % Parsed axioms : 2690
% 0.52/0.88 % Removed by relevancy pruning/SinE : 2662
% 0.52/0.88 % Initial clauses : 60
% 0.52/0.88 % Removed in clause preprocessing : 3
% 0.52/0.88 % Initial clauses in saturation : 57
% 0.52/0.88 % Processed clauses : 159
% 0.52/0.88 % ...of these trivial : 1
% 0.52/0.88 % ...subsumed : 3
% 0.52/0.88 % ...remaining for further processing : 155
% 0.52/0.88 % Other redundant clauses eliminated : 0
% 0.52/0.88 % Clauses deleted for lack of memory : 0
% 0.52/0.88 % Backward-subsumed : 1
% 0.52/0.88 % Backward-rewritten : 2
% 0.52/0.88 % Generated clauses : 129
% 0.52/0.88 % ...of the previous two non-redundant : 119
% 0.52/0.88 % ...aggressively subsumed : 0
% 0.52/0.88 % Contextual simplify-reflections : 2
% 0.52/0.88 % Paramodulations : 127
% 0.52/0.88 % Factorizations : 0
% 0.52/0.88 % NegExts : 0
% 0.52/0.88 % Equation resolutions : 2
% 0.52/0.88 % Disequality decompositions : 0
% 0.52/0.88 % Total rewrite steps : 29
% 0.52/0.88 % ...of those cached : 13
% 0.52/0.88 % Propositional unsat checks : 0
% 0.52/0.88 % Propositional check models : 0
% 0.52/0.88 % Propositional check unsatisfiable : 0
% 0.52/0.88 % Propositional clauses : 0
% 0.52/0.88 % Propositional clauses after purity: 0
% 0.52/0.88 % Propositional unsat core size : 0
% 0.52/0.88 % Propositional preprocessing time : 0.000
% 0.52/0.88 % Propositional encoding time : 0.000
% 0.52/0.88 % Propositional solver time : 0.000
% 0.52/0.88 % Success case prop preproc time : 0.000
% 0.52/0.88 % Success case prop encoding time : 0.000
% 0.52/0.88 % Success case prop solver time : 0.000
% 0.52/0.88 % Current number of processed clauses : 97
% 0.52/0.88 % Positive orientable unit clauses : 23
% 0.52/0.88 % Positive unorientable unit clauses: 0
% 0.52/0.88 % Negative unit clauses : 2
% 0.52/0.88 % Non-unit-clauses : 72
% 0.52/0.88 % Current number of unprocessed clauses: 72
% 0.52/0.88 % ...number of literals in the above : 425
% 0.52/0.88 % Current number of archived formulas : 0
% 0.52/0.88 % Current number of archived clauses : 58
% 0.52/0.88 % Clause-clause subsumption calls (NU) : 1740
% 0.52/0.88 % Rec. Clause-clause subsumption calls : 842
% 0.52/0.88 % Non-unit clause-clause subsumptions : 6
% 0.52/0.88 % Unit Clause-clause subsumption calls : 131
% 0.52/0.88 % Rewrite failures with RHS unbound : 0
% 0.52/0.88 % BW rewrite match attempts : 11
% 0.52/0.88 % BW rewrite match successes : 2
% 0.52/0.88 % Condensation attempts : 0
% 0.52/0.88 % Condensation successes : 0
% 0.52/0.88 % Termbank termtop insertions : 45696
% 0.52/0.88 % Search garbage collected termcells : 31036
% 0.52/0.88
% 0.52/0.88 % -------------------------------------------------
% 0.52/0.88 % User time : 0.035 s
% 0.52/0.88 % System time : 0.037 s
% 0.52/0.88 % Total time : 0.072 s
% 0.52/0.88 % Maximum resident set size: 13708 pages
% 0.52/0.88
% 0.52/0.88 % -------------------------------------------------
% 0.52/0.88 % User time : 0.307 s
% 0.52/0.88 % System time : 0.092 s
% 0.52/0.88 % Total time : 0.399 s
% 0.52/0.88 % Maximum resident set size: 10496 pages
% 0.52/0.88 % E exiting
%------------------------------------------------------------------------------