TSTP Solution File: NUM565+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM565+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 : n019.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 10:38:48 EDT 2023
% Result : Theorem 3.53s 3.65s
% Output : CNFRefutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 64
% Syntax : Number of formulae : 76 ( 8 unt; 61 typ; 0 def)
% Number of atoms : 50 ( 22 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 50 ( 15 ~; 9 |; 18 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 109 ( 53 >; 56 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 52 ( 52 usr; 8 con; 0-4 aty)
% Number of variables : 12 ( 0 sgn; 8 !; 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,
esk1_1: $i > $i ).
tff(decl_53,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
esk5_1: $i > $i ).
tff(decl_57,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk10_1: $i > $i ).
tff(decl_62,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_63,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_66,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk20_1: $i > $i ).
tff(decl_72,type,
esk21_1: $i > $i ).
tff(decl_73,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_74,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_78,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
esk31_0: $i ).
fof(m__,conjecture,
! [X1] :
( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& sbrdtbr0(X1) = sz00
& aElementOf0(X1,slbdtsldtrb0(xS,sz00)) )
=> ( ( aSet0(slcrc0)
& ~ ? [X2] : aElementOf0(X2,slcrc0) )
=> sdtlpdtrp0(xc,X1) = sdtlpdtrp0(xc,slcrc0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mCardEmpty,axiom,
! [X1] :
( aSet0(X1)
=> ( sbrdtbr0(X1) = sz00
<=> X1 = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
fof(m__3462,hypothesis,
xK = sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
fof(c_0_3,negated_conjecture,
~ ! [X1] :
( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& sbrdtbr0(X1) = sz00
& aElementOf0(X1,slbdtsldtrb0(xS,sz00)) )
=> ( ( aSet0(slcrc0)
& ~ ? [X2] : aElementOf0(X2,slcrc0) )
=> sdtlpdtrp0(xc,X1) = sdtlpdtrp0(xc,slcrc0) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_4,plain,
! [X77] :
( ( sbrdtbr0(X77) != sz00
| X77 = slcrc0
| ~ aSet0(X77) )
& ( X77 != slcrc0
| sbrdtbr0(X77) = sz00
| ~ aSet0(X77) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])]) ).
fof(c_0_5,negated_conjecture,
! [X200,X201] :
( aSet0(esk31_0)
& ( ~ aElementOf0(X200,esk31_0)
| aElementOf0(X200,xS) )
& aSubsetOf0(esk31_0,xS)
& sbrdtbr0(esk31_0) = sz00
& aElementOf0(esk31_0,slbdtsldtrb0(xS,sz00))
& aSet0(slcrc0)
& ~ aElementOf0(X201,slcrc0)
& sdtlpdtrp0(xc,esk31_0) != sdtlpdtrp0(xc,slcrc0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
cnf(c_0_6,plain,
( X1 = slcrc0
| sbrdtbr0(X1) != sz00
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
xK = sz00,
inference(split_conjunct,[status(thm)],[m__3462]) ).
cnf(c_0_8,negated_conjecture,
sbrdtbr0(esk31_0) = sz00,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( X1 = slcrc0
| sbrdtbr0(X1) != xK
| ~ aSet0(X1) ),
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
sbrdtbr0(esk31_0) = xK,
inference(rw,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
aSet0(esk31_0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
sdtlpdtrp0(xc,esk31_0) != sdtlpdtrp0(xc,slcrc0),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_13,negated_conjecture,
esk31_0 = slcrc0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM565+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.19/0.36 % Computer : n019.cluster.edu
% 0.19/0.36 % Model : x86_64 x86_64
% 0.19/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36 % Memory : 8042.1875MB
% 0.19/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Fri Aug 25 18:02:58 EDT 2023
% 0.19/0.36 % CPUTime :
% 0.21/0.63 start to proof: theBenchmark
% 3.53/3.65 % Version : CSE_E---1.5
% 3.53/3.65 % Problem : theBenchmark.p
% 3.53/3.65 % Proof found
% 3.53/3.65 % SZS status Theorem for theBenchmark.p
% 3.53/3.65 % SZS output start Proof
% See solution above
% 3.53/3.65 % Total time : 3.009000 s
% 3.53/3.65 % SZS output end Proof
% 3.53/3.65 % Total time : 3.016000 s
%------------------------------------------------------------------------------