TSTP Solution File: NUM618+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM618+1 : 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 10:39:19 EDT 2023
% Result : Theorem 0.20s 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 69
% Syntax : Number of formulae : 79 ( 4 unt; 66 typ; 0 def)
% Number of atoms : 28 ( 8 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 25 ( 10 ~; 7 |; 7 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 89 ( 48 >; 41 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 57 ( 57 usr; 18 con; 0-4 aty)
% Number of variables : 9 ( 0 sgn; 3 !; 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,
xO: $i ).
tff(decl_58,type,
xQ: $i ).
tff(decl_59,type,
xp: $i ).
tff(decl_60,type,
xP: $i ).
tff(decl_61,type,
xn: $i ).
tff(decl_62,type,
xx: $i ).
tff(decl_63,type,
esk1_1: $i > $i ).
tff(decl_64,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
esk5_1: $i > $i ).
tff(decl_68,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk10_1: $i > $i ).
tff(decl_73,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_77,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_81,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_82,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk22_1: $i > $i ).
tff(decl_85,type,
esk23_1: $i > $i ).
tff(decl_86,type,
esk24_1: $i > $i ).
tff(decl_87,type,
esk25_1: $i > $i ).
fof(m__,conjecture,
? [X1] :
( aElementOf0(X1,szNzAzT0)
& xx = sdtlpdtrp0(xe,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__4982,hypothesis,
! [X1] :
( aElementOf0(X1,xO)
=> ? [X2] :
( aElementOf0(X2,szNzAzT0)
& aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& sdtlpdtrp0(xe,X2) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4982) ).
fof(m__5365,hypothesis,
( aElementOf0(xx,szNzAzT0)
& aElementOf0(xx,xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5365) ).
fof(c_0_3,negated_conjecture,
~ ? [X1] :
( aElementOf0(X1,szNzAzT0)
& xx = sdtlpdtrp0(xe,X1) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_4,hypothesis,
! [X198] :
( ( aElementOf0(esk25_1(X198),szNzAzT0)
| ~ aElementOf0(X198,xO) )
& ( aElementOf0(esk25_1(X198),sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X198,xO) )
& ( sdtlpdtrp0(xe,esk25_1(X198)) = X198
| ~ aElementOf0(X198,xO) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__4982])])])]) ).
fof(c_0_5,negated_conjecture,
! [X200] :
( ~ aElementOf0(X200,szNzAzT0)
| xx != sdtlpdtrp0(xe,X200) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).
cnf(c_0_6,hypothesis,
( sdtlpdtrp0(xe,esk25_1(X1)) = X1
| ~ aElementOf0(X1,xO) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
aElementOf0(xx,xO),
inference(split_conjunct,[status(thm)],[m__5365]) ).
cnf(c_0_8,hypothesis,
( aElementOf0(esk25_1(X1),szNzAzT0)
| ~ aElementOf0(X1,xO) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
( ~ aElementOf0(X1,szNzAzT0)
| xx != sdtlpdtrp0(xe,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,hypothesis,
sdtlpdtrp0(xe,esk25_1(xx)) = xx,
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,hypothesis,
aElementOf0(esk25_1(xx),szNzAzT0),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_12,negated_conjecture,
$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
% 0.00/0.12 % Problem : NUM618+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 12:46:15 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.62 % Version : CSE_E---1.5
% 0.20/0.62 % Problem : theBenchmark.p
% 0.20/0.62 % Proof found
% 0.20/0.62 % SZS status Theorem for theBenchmark.p
% 0.20/0.62 % SZS output start Proof
% See solution above
% 0.20/0.63 % Total time : 0.047000 s
% 0.20/0.63 % SZS output end Proof
% 0.20/0.63 % Total time : 0.052000 s
%------------------------------------------------------------------------------