TSTP Solution File: NUM631+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM631+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n001.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 : Thu Aug 31 10:39:31 EDT 2023
% Result : Theorem 42.83s 42.88s
% Output : CNFRefutation 42.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 105
% Syntax : Number of formulae : 134 ( 19 unt; 94 typ; 0 def)
% Number of atoms : 161 ( 51 equ)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 170 ( 49 ~; 51 |; 56 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 141 ( 74 >; 67 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 81 ( 81 usr; 20 con; 0-4 aty)
% Number of variables : 33 ( 0 sgn; 27 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aSet0: $i > $o ).
tff(decl_23,type,
aElement0: $i > $o ).
tff(decl_24,type,
aElementOf0: ( $i * $i ) > $o ).
tff(decl_25,type,
isFinite0: $i > $o ).
tff(decl_26,type,
slcrc0: $i ).
tff(decl_27,type,
isCountable0: $i > $o ).
tff(decl_28,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff(decl_29,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(decl_30,type,
sdtmndt0: ( $i * $i ) > $i ).
tff(decl_31,type,
szNzAzT0: $i ).
tff(decl_32,type,
sz00: $i ).
tff(decl_33,type,
szszuzczcdt0: $i > $i ).
tff(decl_34,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(decl_35,type,
iLess0: ( $i * $i ) > $o ).
tff(decl_36,type,
sbrdtbr0: $i > $i ).
tff(decl_37,type,
szmzizndt0: $i > $i ).
tff(decl_38,type,
szmzazxdt0: $i > $i ).
tff(decl_39,type,
slbdtrb0: $i > $i ).
tff(decl_40,type,
slbdtsldtrb0: ( $i * $i ) > $i ).
tff(decl_41,type,
aFunction0: $i > $o ).
tff(decl_42,type,
szDzozmdt0: $i > $i ).
tff(decl_43,type,
sdtlpdtrp0: ( $i * $i ) > $i ).
tff(decl_44,type,
sdtlbdtrb0: ( $i * $i ) > $i ).
tff(decl_45,type,
sdtlcdtrc0: ( $i * $i ) > $i ).
tff(decl_46,type,
sdtexdt0: ( $i * $i ) > $i ).
tff(decl_47,type,
szDzizrdt0: $i > $i ).
tff(decl_48,type,
xT: $i ).
tff(decl_49,type,
xK: $i ).
tff(decl_50,type,
xS: $i ).
tff(decl_51,type,
xc: $i ).
tff(decl_52,type,
xk: $i ).
tff(decl_53,type,
xN: $i ).
tff(decl_54,type,
xC: $i ).
tff(decl_55,type,
xe: $i ).
tff(decl_56,type,
xd: $i ).
tff(decl_57,type,
xO: $i ).
tff(decl_58,type,
xQ: $i ).
tff(decl_59,type,
xp: $i ).
tff(decl_60,type,
xP: $i ).
tff(decl_61,type,
xn: $i ).
tff(decl_62,type,
xD: $i ).
tff(decl_63,type,
epred1_1: $i > $o ).
tff(decl_64,type,
epred2_1: $i > $o ).
tff(decl_65,type,
epred3_1: $i > $o ).
tff(decl_66,type,
epred4_1: $i > $o ).
tff(decl_67,type,
esk1_1: $i > $i ).
tff(decl_68,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk5_1: $i > $i ).
tff(decl_72,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_73,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_74,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_75,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_76,type,
esk10_1: $i > $i ).
tff(decl_77,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_85,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_86,type,
esk20_1: $i > $i ).
tff(decl_87,type,
esk21_1: $i > $i ).
tff(decl_88,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_89,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_94,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_96,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
esk31_1: $i > $i ).
tff(decl_98,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_99,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_100,type,
esk34_1: $i > $i ).
tff(decl_101,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_102,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_103,type,
esk37_1: $i > $i ).
tff(decl_104,type,
esk38_1: $i > $i ).
tff(decl_105,type,
esk39_1: $i > $i ).
tff(decl_106,type,
esk40_0: $i ).
tff(decl_107,type,
esk41_0: $i ).
tff(decl_108,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_109,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_110,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_111,type,
esk45_2: ( $i * $i ) > $i ).
tff(decl_112,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_113,type,
esk47_1: $i > $i ).
tff(decl_114,type,
esk48_1: $i > $i ).
tff(decl_115,type,
esk49_2: ( $i * $i ) > $i ).
fof(m__5164,hypothesis,
( aSet0(xP)
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X1) )
& ! [X1] :
( aElementOf0(X1,xP)
<=> ( aElement0(X1)
& aElementOf0(X1,xQ)
& X1 != szmzizndt0(xQ) ) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5164) ).
fof(m__5147,hypothesis,
( aElementOf0(xp,xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(xp,X1) )
& xp = szmzizndt0(xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).
fof(m__4660,hypothesis,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(sdtlpdtrp0(xe,X1),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(sdtlpdtrp0(xe,X1),X2) )
& sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).
fof(mConsDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mConsDiff) ).
fof(m__5078,hypothesis,
( aSet0(xQ)
& ! [X1] :
( aElementOf0(X1,xQ)
=> aElementOf0(X1,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5078) ).
fof(m__4730,hypothesis,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
| aSubsetOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
& sbrdtbr0(X2) = xk )
| aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ) )
=> sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
fof(m__5632,hypothesis,
( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X1) )
& aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xP)
| X1 = szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) )
& sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5632) ).
fof(m__5309,hypothesis,
( aElementOf0(xn,szDzozmdt0(xd))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5309) ).
fof(m__5217,hypothesis,
sbrdtbr0(xP) = xk,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5217) ).
fof(m__5334,hypothesis,
( ! [X1] :
( aElementOf0(X1,xP)
=> aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5334) ).
fof(m__,conjecture,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(c_0_11,hypothesis,
! [X253,X254] :
( aSet0(xP)
& ( ~ aElementOf0(X253,xQ)
| sdtlseqdt0(szmzizndt0(xQ),X253) )
& ( aElement0(X254)
| ~ aElementOf0(X254,xP) )
& ( aElementOf0(X254,xQ)
| ~ aElementOf0(X254,xP) )
& ( X254 != szmzizndt0(xQ)
| ~ aElementOf0(X254,xP) )
& ( ~ aElement0(X254)
| ~ aElementOf0(X254,xQ)
| X254 = szmzizndt0(xQ)
| aElementOf0(X254,xP) )
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5164])])])]) ).
fof(c_0_12,hypothesis,
! [X252] :
( aElementOf0(xp,xQ)
& ( ~ aElementOf0(X252,xQ)
| sdtlseqdt0(xp,X252) )
& xp = szmzizndt0(xQ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5147])])]) ).
fof(c_0_13,hypothesis,
! [X226,X227] :
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ( aElementOf0(sdtlpdtrp0(xe,X226),sdtlpdtrp0(xN,X226))
| ~ aElementOf0(X226,szNzAzT0) )
& ( ~ aElementOf0(X227,sdtlpdtrp0(xN,X226))
| sdtlseqdt0(sdtlpdtrp0(xe,X226),X227)
| ~ aElementOf0(X226,szNzAzT0) )
& ( sdtlpdtrp0(xe,X226) = szmzizndt0(sdtlpdtrp0(xN,X226))
| ~ aElementOf0(X226,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4660])])])]) ).
fof(c_0_14,plain,
! [X43,X44] :
( ~ aSet0(X43)
| ~ aElementOf0(X44,X43)
| sdtpldt0(sdtmndt0(X43,X44),X44) = X43 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mConsDiff])])]) ).
cnf(c_0_15,hypothesis,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,hypothesis,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_17,hypothesis,
! [X246] :
( aSet0(xQ)
& ( ~ aElementOf0(X246,xQ)
| aElementOf0(X246,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5078])])]) ).
fof(c_0_18,hypothesis,
! [X228,X229] :
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ( aElementOf0(esk36_2(X228,X229),X229)
| sbrdtbr0(X229) != xk
| ~ aSet0(X229)
| sdtlpdtrp0(xd,X228) = sdtlpdtrp0(sdtlpdtrp0(xC,X228),X229)
| ~ aElementOf0(X228,szNzAzT0) )
& ( ~ aElementOf0(esk36_2(X228,X229),sdtlpdtrp0(xN,szszuzczcdt0(X228)))
| sbrdtbr0(X229) != xk
| ~ aSet0(X229)
| sdtlpdtrp0(xd,X228) = sdtlpdtrp0(sdtlpdtrp0(xC,X228),X229)
| ~ aElementOf0(X228,szNzAzT0) )
& ( ~ aSubsetOf0(X229,sdtlpdtrp0(xN,szszuzczcdt0(X228)))
| sbrdtbr0(X229) != xk
| ~ aSet0(X229)
| sdtlpdtrp0(xd,X228) = sdtlpdtrp0(sdtlpdtrp0(xC,X228),X229)
| ~ aElementOf0(X228,szNzAzT0) )
& ( ~ aElementOf0(X229,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X228)),xk))
| ~ aSet0(X229)
| sdtlpdtrp0(xd,X228) = sdtlpdtrp0(sdtlpdtrp0(xC,X228),X229)
| ~ aElementOf0(X228,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4730])])])])]) ).
fof(c_0_19,hypothesis,
! [X262,X263] :
( ( ~ aElementOf0(X262,sdtlpdtrp0(xN,xn))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),X262) )
& aSet0(sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn))))
& ( aElement0(X263)
| ~ aElementOf0(X263,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( aElementOf0(X263,xP)
| X263 = szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(X263,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( ~ aElementOf0(X263,xP)
| ~ aElement0(X263)
| aElementOf0(X263,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& ( X263 != szmzizndt0(sdtlpdtrp0(xN,xn))
| ~ aElement0(X263)
| aElementOf0(X263,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) )
& sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5632])])])]) ).
cnf(c_0_20,hypothesis,
( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_22,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_23,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,hypothesis,
sdtmndt0(xQ,xp) = xP,
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_25,hypothesis,
aElementOf0(xp,xQ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_26,hypothesis,
aSet0(xQ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,hypothesis,
( sdtlpdtrp0(xd,X2) = sdtlpdtrp0(sdtlpdtrp0(xC,X2),X1)
| ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X2)))
| sbrdtbr0(X1) != xk
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,hypothesis,
sbrdtbr0(xP) = xk,
inference(split_conjunct,[status(thm)],[m__5217]) ).
cnf(c_0_29,hypothesis,
aSet0(xP),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_30,hypothesis,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_31,hypothesis,
szmzizndt0(sdtlpdtrp0(xN,xn)) = xp,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_32,hypothesis,
sdtpldt0(xP,xp) = xQ,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]) ).
fof(c_0_33,hypothesis,
! [X258] :
( ( ~ aElementOf0(X258,xP)
| aElementOf0(X258,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__5334])])]) ).
fof(c_0_34,negated_conjecture,
sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_35,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),xP) = sdtlpdtrp0(xd,X1)
| ~ aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_36,hypothesis,
sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) = sdtlpdtrp0(xc,xQ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_37,hypothesis,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,negated_conjecture,
sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_21]),c_0_36]),c_0_37])]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM631+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n001.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
% 0.12/0.34 % DateTime : Fri Aug 25 16:55:44 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 42.83/42.88 % Version : CSE_E---1.5
% 42.83/42.88 % Problem : theBenchmark.p
% 42.83/42.88 % Proof found
% 42.83/42.88 % SZS status Theorem for theBenchmark.p
% 42.83/42.88 % SZS output start Proof
% See solution above
% 42.83/42.89 % Total time : 42.317000 s
% 42.83/42.89 % SZS output end Proof
% 42.83/42.89 % Total time : 42.329000 s
%------------------------------------------------------------------------------