TSTP Solution File: NUM576+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM576+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 : n005.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 10:38:53 EDT 2023
% Result : Theorem 5.70s 5.86s
% Output : CNFRefutation 5.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 71
% Syntax : Number of formulae : 95 ( 10 unt; 65 typ; 0 def)
% Number of atoms : 85 ( 10 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 97 ( 42 ~; 37 |; 10 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 110 ( 54 >; 56 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 56 ( 56 usr; 11 con; 0-4 aty)
% Number of variables : 24 ( 0 sgn; 14 !; 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,
xi: $i ).
tff(decl_55,type,
xj: $i ).
tff(decl_56,type,
esk1_1: $i > $i ).
tff(decl_57,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
esk5_1: $i > $i ).
tff(decl_61,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk10_1: $i > $i ).
tff(decl_66,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_70,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_74,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_75,type,
esk20_1: $i > $i ).
tff(decl_76,type,
esk21_1: $i > $i ).
tff(decl_77,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_78,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk31_1: $i > $i ).
fof(mSuccLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
fof(mLessTotal,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(mSuccNum,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
& szszuzczcdt0(X1) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(m__,conjecture,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__3856,hypothesis,
( aElementOf0(xi,szNzAzT0)
& aElementOf0(xj,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3856) ).
fof(mLessASymm,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
fof(c_0_6,plain,
! [X63,X64] :
( ( ~ sdtlseqdt0(X63,X64)
| sdtlseqdt0(szszuzczcdt0(X63),szszuzczcdt0(X64))
| ~ aElementOf0(X63,szNzAzT0)
| ~ aElementOf0(X64,szNzAzT0) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X63),szszuzczcdt0(X64))
| sdtlseqdt0(X63,X64)
| ~ aElementOf0(X63,szNzAzT0)
| ~ aElementOf0(X64,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccLess])])]) ).
fof(c_0_7,plain,
! [X72,X73] :
( ~ aElementOf0(X72,szNzAzT0)
| ~ aElementOf0(X73,szNzAzT0)
| sdtlseqdt0(X72,X73)
| sdtlseqdt0(szszuzczcdt0(X73),X72) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessTotal])]) ).
fof(c_0_8,plain,
! [X55] :
( ( aElementOf0(szszuzczcdt0(X55),szNzAzT0)
| ~ aElementOf0(X55,szNzAzT0) )
& ( szszuzczcdt0(X55) != sz00
| ~ aElementOf0(X55,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSuccNum])])]) ).
fof(c_0_9,negated_conjecture,
~ ( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_10,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3856]) ).
cnf(c_0_12,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(szszuzczcdt0(X2),X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,hypothesis,
aElementOf0(xj,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3856]) ).
cnf(c_0_14,plain,
( aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_15,negated_conjecture,
( xi != xj
& ~ sdtlseqdt0(szszuzczcdt0(xj),xi)
& ~ sdtlseqdt0(szszuzczcdt0(xi),xj) ),
inference(fof_nnf,[status(thm)],[c_0_9]) ).
fof(c_0_16,plain,
! [X67,X68] :
( ~ aElementOf0(X67,szNzAzT0)
| ~ aElementOf0(X68,szNzAzT0)
| ~ sdtlseqdt0(X67,X68)
| ~ sdtlseqdt0(X68,X67)
| X67 = X68 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mLessASymm])]) ).
cnf(c_0_17,hypothesis,
( sdtlseqdt0(X1,xi)
| ~ sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(xi))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_18,hypothesis,
( sdtlseqdt0(szszuzczcdt0(xj),X1)
| sdtlseqdt0(X1,xj)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_19,hypothesis,
aElementOf0(szszuzczcdt0(xi),szNzAzT0),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_20,negated_conjecture,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( X1 = X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,hypothesis,
( sdtlseqdt0(xj,xi)
| ~ sdtlseqdt0(szszuzczcdt0(xj),szszuzczcdt0(xi)) ),
inference(spm,[status(thm)],[c_0_17,c_0_13]) ).
cnf(c_0_23,hypothesis,
sdtlseqdt0(szszuzczcdt0(xj),szszuzczcdt0(xi)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_24,negated_conjecture,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,hypothesis,
( X1 = xj
| ~ sdtlseqdt0(xj,X1)
| ~ sdtlseqdt0(X1,xj)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(spm,[status(thm)],[c_0_21,c_0_13]) ).
cnf(c_0_26,hypothesis,
sdtlseqdt0(xj,xi),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23])]) ).
cnf(c_0_27,hypothesis,
sdtlseqdt0(xi,xj),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_11]),c_0_24]) ).
cnf(c_0_28,negated_conjecture,
xi != xj,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_29,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_11]),c_0_26]),c_0_27])]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM576+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n005.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 08:49:38 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.56 start to proof: theBenchmark
% 5.70/5.86 % Version : CSE_E---1.5
% 5.70/5.86 % Problem : theBenchmark.p
% 5.70/5.86 % Proof found
% 5.70/5.86 % SZS status Theorem for theBenchmark.p
% 5.70/5.86 % SZS output start Proof
% See solution above
% 5.70/5.86 % Total time : 5.283000 s
% 5.70/5.86 % SZS output end Proof
% 5.70/5.86 % Total time : 5.291000 s
%------------------------------------------------------------------------------