TSTP Solution File: NUM594+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM594+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 : n032.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 3.36s 3.47s
% Output : CNFRefutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 89
% Syntax : Number of formulae : 99 ( 5 unt; 86 typ; 0 def)
% Number of atoms : 50 ( 19 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 56 ( 19 ~; 19 |; 15 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 139 ( 72 >; 67 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 73 ( 73 usr; 14 con; 0-4 aty)
% Number of variables : 10 ( 0 sgn; 6 !; 3 ?; 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,
epred1_1: $i > $o ).
tff(decl_59,type,
epred2_1: $i > $o ).
tff(decl_60,type,
epred3_1: $i > $o ).
tff(decl_61,type,
epred4_1: $i > $o ).
tff(decl_62,type,
esk1_1: $i > $i ).
tff(decl_63,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
esk5_1: $i > $i ).
tff(decl_67,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk10_1: $i > $i ).
tff(decl_72,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_76,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_80,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_81,type,
esk20_1: $i > $i ).
tff(decl_82,type,
esk21_1: $i > $i ).
tff(decl_83,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_84,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk31_1: $i > $i ).
tff(decl_93,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_94,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_95,type,
esk34_1: $i > $i ).
tff(decl_96,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_97,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_98,type,
esk37_1: $i > $i ).
tff(decl_99,type,
esk38_0: $i ).
tff(decl_100,type,
esk39_2: ( $i * $i ) > $i ).
tff(decl_101,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_102,type,
esk41_2: ( $i * $i ) > $i ).
tff(decl_103,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_104,type,
esk43_3: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
esk44_1: $i > $i ).
tff(decl_106,type,
esk45_1: $i > $i ).
tff(decl_107,type,
esk46_2: ( $i * $i ) > $i ).
fof(m__,conjecture,
? [X1] :
( aElementOf0(X1,szNzAzT0)
& sdtlpdtrp0(xd,X1) = xx ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__4781,hypothesis,
( ? [X1] :
( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = xx )
& aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4781) ).
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/sandbox/benchmark/theBenchmark.p',m__4730) ).
fof(c_0_3,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,szNzAzT0)
& sdtlpdtrp0(xd,X1) = xx ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_4,hypothesis,
( aElementOf0(esk38_0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,esk38_0) = xx
& aElementOf0(xx,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__4781])]) ).
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,negated_conjecture,
! [X236] :
( ~ aElementOf0(X236,szNzAzT0)
| sdtlpdtrp0(xd,X236) != xx ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).
cnf(c_0_7,hypothesis,
aElementOf0(esk38_0,szDzozmdt0(xd)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,hypothesis,
szDzozmdt0(xd) = szNzAzT0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
( ~ aElementOf0(X1,szNzAzT0)
| sdtlpdtrp0(xd,X1) != xx ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,hypothesis,
sdtlpdtrp0(xd,esk38_0) = xx,
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,hypothesis,
aElementOf0(esk38_0,szNzAzT0),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM594+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.30 % Computer : n032.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8042.1875MB
% 0.12/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Fri Aug 25 16:19:27 EDT 2023
% 0.12/0.30 % CPUTime :
% 0.15/0.48 start to proof: theBenchmark
% 3.36/3.47 % Version : CSE_E---1.5
% 3.36/3.47 % Problem : theBenchmark.p
% 3.36/3.47 % Proof found
% 3.36/3.47 % SZS status Theorem for theBenchmark.p
% 3.36/3.47 % SZS output start Proof
% See solution above
% 3.36/3.48 % Total time : 2.974000 s
% 3.36/3.48 % SZS output end Proof
% 3.36/3.48 % Total time : 2.983000 s
%------------------------------------------------------------------------------