TSTP Solution File: NUM595+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM595+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 : n010.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 10:39:06 EDT 2023
% Result : Theorem 18.56s 18.63s
% Output : CNFRefutation 18.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 95
% Syntax : Number of formulae : 114 ( 11 unt; 90 typ; 0 def)
% Number of atoms : 128 ( 37 equ)
% Maximal formula atoms : 23 ( 5 avg)
% Number of connectives : 159 ( 55 ~; 59 |; 35 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 140 ( 73 >; 67 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 77 ( 77 usr; 17 con; 0-4 aty)
% Number of variables : 26 ( 0 sgn; 16 !; 2 ?; 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,
xx: $i ).
tff(decl_58,type,
xi: $i ).
tff(decl_59,type,
xX: $i ).
tff(decl_60,type,
epred1_1: $i > $o ).
tff(decl_61,type,
epred2_1: $i > $o ).
tff(decl_62,type,
epred3_1: $i > $o ).
tff(decl_63,type,
epred4_1: $i > $o ).
tff(decl_64,type,
esk1_1: $i > $i ).
tff(decl_65,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk5_1: $i > $i ).
tff(decl_69,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_73,type,
esk10_1: $i > $i ).
tff(decl_74,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_78,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_82,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_83,type,
esk20_1: $i > $i ).
tff(decl_84,type,
esk21_1: $i > $i ).
tff(decl_85,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_86,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk31_1: $i > $i ).
tff(decl_95,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_96,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_97,type,
esk34_1: $i > $i ).
tff(decl_98,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_99,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_100,type,
esk37_1: $i > $i ).
tff(decl_101,type,
esk38_0: $i ).
tff(decl_102,type,
esk39_1: $i > $i ).
tff(decl_103,type,
esk40_0: $i ).
tff(decl_104,type,
esk41_2: ( $i * $i ) > $i ).
tff(decl_105,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_106,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_107,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_108,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_109,type,
esk46_1: $i > $i ).
tff(decl_110,type,
esk47_1: $i > $i ).
tff(decl_111,type,
esk48_2: ( $i * $i ) > $i ).
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__4826,hypothesis,
( aSet0(xX)
& ! [X1] :
( ( aElementOf0(X1,xX)
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
& sbrdtbr0(X1) = xk ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(xi))) ) )
| aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(xi))) )
& sbrdtbr0(X1) = xk )
=> aElementOf0(X1,xX) ) )
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& ~ ~ ? [X1] : aElementOf0(X1,xX) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4826) ).
fof(m__4618,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ? [X2] :
( aElementOf0(X2,xT)
& ! [X3] :
( ( aSet0(X3)
& ( ( ( ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
| aSubsetOf0(X3,sdtlpdtrp0(xN,szszuzczcdt0(X1))) )
& sbrdtbr0(X3) = xk )
| aElementOf0(X3,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) ) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4618) ).
fof(m__4806,hypothesis,
( aElementOf0(xi,szNzAzT0)
& sdtlpdtrp0(xd,xi) = xx ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4806) ).
fof(m__,conjecture,
aElementOf0(xx,xT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(c_0_5,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_6,hypothesis,
! [X236,X237,X238] :
( aSet0(xX)
& ( aSet0(X236)
| ~ aElementOf0(X236,xX) )
& ( ~ aElementOf0(X237,X236)
| aElementOf0(X237,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X236,xX) )
& ( aSubsetOf0(X236,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aElementOf0(X236,xX) )
& ( sbrdtbr0(X236) = xk
| ~ aElementOf0(X236,xX) )
& ( aElementOf0(esk39_1(X238),X238)
| ~ aSet0(X238)
| sbrdtbr0(X238) != xk
| aElementOf0(X238,xX) )
& ( ~ aElementOf0(esk39_1(X238),sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| ~ aSet0(X238)
| sbrdtbr0(X238) != xk
| aElementOf0(X238,xX) )
& ( ~ aSubsetOf0(X238,sdtlpdtrp0(xN,szszuzczcdt0(xi)))
| sbrdtbr0(X238) != xk
| aElementOf0(X238,xX) )
& xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk)
& aElementOf0(esk40_0,xX) ),
inference(distribute,[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)],[m__4826])])])])])]) ).
fof(c_0_7,hypothesis,
! [X222,X224] :
( ( aElementOf0(esk34_1(X222),xT)
| ~ aElementOf0(X222,szNzAzT0) )
& ( aElementOf0(esk35_2(X222,X224),X224)
| sbrdtbr0(X224) != xk
| ~ aSet0(X224)
| sdtlpdtrp0(sdtlpdtrp0(xC,X222),X224) = esk34_1(X222)
| ~ aElementOf0(X222,szNzAzT0) )
& ( ~ aElementOf0(esk35_2(X222,X224),sdtlpdtrp0(xN,szszuzczcdt0(X222)))
| sbrdtbr0(X224) != xk
| ~ aSet0(X224)
| sdtlpdtrp0(sdtlpdtrp0(xC,X222),X224) = esk34_1(X222)
| ~ aElementOf0(X222,szNzAzT0) )
& ( ~ aSubsetOf0(X224,sdtlpdtrp0(xN,szszuzczcdt0(X222)))
| sbrdtbr0(X224) != xk
| ~ aSet0(X224)
| sdtlpdtrp0(sdtlpdtrp0(xC,X222),X224) = esk34_1(X222)
| ~ aElementOf0(X222,szNzAzT0) )
& ( ~ aElementOf0(X224,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X222)),xk))
| ~ aSet0(X224)
| sdtlpdtrp0(sdtlpdtrp0(xC,X222),X224) = esk34_1(X222)
| ~ aElementOf0(X222,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__4618])])])])]) ).
cnf(c_0_8,hypothesis,
( sdtlpdtrp0(xd,X2) = sdtlpdtrp0(sdtlpdtrp0(xC,X2),X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X2)),xk))
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__4806]) ).
cnf(c_0_10,hypothesis,
sdtlpdtrp0(xd,xi) = xx,
inference(split_conjunct,[status(thm)],[m__4806]) ).
cnf(c_0_11,hypothesis,
xX = slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xi)),xk),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,hypothesis,
( aSet0(X1)
| ~ aElementOf0(X1,xX) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,X2),X1) = esk34_1(X2)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X2)),xk))
| ~ aSet0(X1)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = xx
| ~ aElementOf0(X1,xX) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11]),c_0_12]) ).
cnf(c_0_15,hypothesis,
aElementOf0(esk40_0,xX),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_16,hypothesis,
( aElementOf0(esk34_1(X1),xT)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,hypothesis,
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) = esk34_1(xi)
| ~ aElementOf0(X1,xX) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_9]),c_0_11]),c_0_12]) ).
cnf(c_0_18,hypothesis,
sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk40_0) = xx,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_19,negated_conjecture,
~ aElementOf0(xx,xT),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_20,hypothesis,
aElementOf0(esk34_1(xi),xT),
inference(spm,[status(thm)],[c_0_16,c_0_9]) ).
cnf(c_0_21,hypothesis,
esk34_1(xi) = xx,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_18]) ).
cnf(c_0_22,negated_conjecture,
~ aElementOf0(xx,xT),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM595+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
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 15:15:35 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 18.56/18.63 % Version : CSE_E---1.5
% 18.56/18.63 % Problem : theBenchmark.p
% 18.56/18.63 % Proof found
% 18.56/18.63 % SZS status Theorem for theBenchmark.p
% 18.56/18.63 % SZS output start Proof
% See solution above
% 18.56/18.64 % Total time : 18.037000 s
% 18.56/18.64 % SZS output end Proof
% 18.56/18.64 % Total time : 18.047000 s
%------------------------------------------------------------------------------