TSTP Solution File: NUM588+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM588+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n020.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 10:39:02 EDT 2023
% Result : Theorem 6.23s 6.45s
% Output : CNFRefutation 6.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 76
% Syntax : Number of formulae : 84 ( 4 unt; 75 typ; 0 def)
% Number of atoms : 116 ( 11 equ)
% Maximal formula atoms : 44 ( 12 avg)
% Number of connectives : 134 ( 27 ~; 22 |; 61 &)
% ( 4 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 9 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 122 ( 61 >; 61 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 64 ( 64 usr; 14 con; 0-4 aty)
% Number of variables : 28 ( 0 sgn; 26 !; 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,
epred1_1: $i > $o ).
tff(decl_56,type,
epred2_1: $i > $o ).
tff(decl_57,type,
esk1_1: $i > $i ).
tff(decl_58,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
esk5_1: $i > $i ).
tff(decl_62,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk10_1: $i > $i ).
tff(decl_67,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_71,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_75,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_76,type,
esk20_1: $i > $i ).
tff(decl_77,type,
esk21_1: $i > $i ).
tff(decl_78,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_79,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk31_1: $i > $i ).
tff(decl_88,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_89,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_90,type,
esk34_0: $i ).
tff(decl_91,type,
esk35_0: $i ).
tff(decl_92,type,
esk36_0: $i ).
tff(decl_93,type,
esk37_0: $i ).
tff(decl_94,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_95,type,
esk39_2: ( $i * $i ) > $i ).
tff(decl_96,type,
esk40_2: ( $i * $i ) > $i ).
fof(m__,conjecture,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(X2) )
=> ! [X3] :
( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) )
& aSubsetOf0(X3,X2)
& sbrdtbr0(X3) = xk
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
=> ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X4) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X4)
& aElementOf0(X4,sdtlpdtrp0(xN,X1))
& X4 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c_0_1,negated_conjecture,
~ ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& X3 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) )
& aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(X2) )
=> ! [X3] :
( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,X2) )
& aSubsetOf0(X3,X2)
& sbrdtbr0(X3) = xk
& aElementOf0(X3,slbdtsldtrb0(X2,xk)) )
=> ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X4) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X4] :
( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X4)
& aElementOf0(X4,sdtlpdtrp0(xN,X1))
& X4 != szmzizndt0(sdtlpdtrp0(xN,X1)) ) ) )
=> ( ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_2,negated_conjecture,
! [X222,X223,X224,X226,X227,X228] :
( aElementOf0(esk34_0,szNzAzT0)
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk34_0)),sdtlpdtrp0(xN,esk34_0))
& ( ~ aElementOf0(X222,sdtlpdtrp0(xN,esk34_0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk34_0)),X222) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,esk34_0),szmzizndt0(sdtlpdtrp0(xN,esk34_0))))
& ( aElement0(X223)
| ~ aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,esk34_0),szmzizndt0(sdtlpdtrp0(xN,esk34_0)))) )
& ( aElementOf0(X223,sdtlpdtrp0(xN,esk34_0))
| ~ aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,esk34_0),szmzizndt0(sdtlpdtrp0(xN,esk34_0)))) )
& ( X223 != szmzizndt0(sdtlpdtrp0(xN,esk34_0))
| ~ aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,esk34_0),szmzizndt0(sdtlpdtrp0(xN,esk34_0)))) )
& ( ~ aElement0(X223)
| ~ aElementOf0(X223,sdtlpdtrp0(xN,esk34_0))
| X223 = szmzizndt0(sdtlpdtrp0(xN,esk34_0))
| aElementOf0(X223,sdtmndt0(sdtlpdtrp0(xN,esk34_0),szmzizndt0(sdtlpdtrp0(xN,esk34_0)))) )
& aSet0(esk35_0)
& ( ~ aElementOf0(X224,esk35_0)
| aElementOf0(X224,sdtmndt0(sdtlpdtrp0(xN,esk34_0),szmzizndt0(sdtlpdtrp0(xN,esk34_0)))) )
& aSubsetOf0(esk35_0,sdtmndt0(sdtlpdtrp0(xN,esk34_0),szmzizndt0(sdtlpdtrp0(xN,esk34_0))))
& isCountable0(esk35_0)
& aSet0(esk36_0)
& ( ~ aElementOf0(X226,esk36_0)
| aElementOf0(X226,esk35_0) )
& aSubsetOf0(esk36_0,esk35_0)
& sbrdtbr0(esk36_0) = xk
& aElementOf0(esk36_0,slbdtsldtrb0(esk35_0,xk))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,esk34_0)),sdtlpdtrp0(xN,esk34_0))
& ( ~ aElementOf0(X227,sdtlpdtrp0(xN,esk34_0))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,esk34_0)),X227) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,esk34_0),szmzizndt0(sdtlpdtrp0(xN,esk34_0))))
& ( aElement0(X228)
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,esk34_0),szmzizndt0(sdtlpdtrp0(xN,esk34_0)))) )
& ( aElementOf0(X228,sdtlpdtrp0(xN,esk34_0))
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,esk34_0),szmzizndt0(sdtlpdtrp0(xN,esk34_0)))) )
& ( X228 != szmzizndt0(sdtlpdtrp0(xN,esk34_0))
| ~ aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,esk34_0),szmzizndt0(sdtlpdtrp0(xN,esk34_0)))) )
& ( ~ aElement0(X228)
| ~ aElementOf0(X228,sdtlpdtrp0(xN,esk34_0))
| X228 = szmzizndt0(sdtlpdtrp0(xN,esk34_0))
| aElementOf0(X228,sdtmndt0(sdtlpdtrp0(xN,esk34_0),szmzizndt0(sdtlpdtrp0(xN,esk34_0)))) )
& aElementOf0(esk37_0,esk36_0)
& ~ aElementOf0(esk37_0,sdtmndt0(sdtlpdtrp0(xN,esk34_0),szmzizndt0(sdtlpdtrp0(xN,esk34_0))))
& ~ aSubsetOf0(esk36_0,sdtmndt0(sdtlpdtrp0(xN,esk34_0),szmzizndt0(sdtlpdtrp0(xN,esk34_0))))
& ~ aElementOf0(esk36_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,esk34_0),szmzizndt0(sdtlpdtrp0(xN,esk34_0))),xk)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
cnf(c_0_3,negated_conjecture,
( aElementOf0(X1,esk35_0)
| ~ aElementOf0(X1,esk36_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
aElementOf0(esk37_0,esk36_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,esk34_0),szmzizndt0(sdtlpdtrp0(xN,esk34_0))))
| ~ aElementOf0(X1,esk35_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
aElementOf0(esk37_0,esk35_0),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
~ aElementOf0(esk37_0,sdtmndt0(sdtlpdtrp0(xN,esk34_0),szmzizndt0(sdtlpdtrp0(xN,esk34_0)))),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM588+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Aug 25 13:48:45 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.53 start to proof: theBenchmark
% 6.23/6.45 % Version : CSE_E---1.5
% 6.23/6.45 % Problem : theBenchmark.p
% 6.23/6.45 % Proof found
% 6.23/6.45 % SZS status Theorem for theBenchmark.p
% 6.23/6.45 % SZS output start Proof
% See solution above
% 6.23/6.45 % Total time : 5.811000 s
% 6.23/6.45 % SZS output end Proof
% 6.23/6.45 % Total time : 5.816000 s
%------------------------------------------------------------------------------