TSTP Solution File: NUM561+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM561+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 : n011.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 10:38:44 EDT 2023
% Result : Theorem 0.19s 0.60s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 48
% Syntax : Number of formulae : 62 ( 10 unt; 42 typ; 0 def)
% Number of atoms : 78 ( 15 equ)
% Maximal formula atoms : 39 ( 3 avg)
% Number of connectives : 102 ( 44 ~; 44 |; 8 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 69 ( 37 >; 32 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 5 con; 0-4 aty)
% Number of variables : 27 ( 0 sgn; 16 !; 1 ?; 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,
xF: $i ).
tff(decl_47,type,
xx: $i ).
tff(decl_48,type,
esk1_1: $i > $i ).
tff(decl_49,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk5_1: $i > $i ).
tff(decl_53,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_56,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_57,type,
esk10_1: $i > $i ).
tff(decl_58,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_62,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_63,type,
esk16_3: ( $i * $i * $i ) > $i ).
fof(mDefSImg,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aSubsetOf0(X2,szDzozmdt0(X1))
=> ! [X3] :
( X3 = sdtlcdtrc0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ? [X5] :
( aElementOf0(X5,X2)
& sdtlpdtrp0(X1,X5) = X4 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSImg) ).
fof(m__,conjecture,
aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__2911,hypothesis,
aFunction0(xF),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2911) ).
fof(m__2911_02,hypothesis,
aElementOf0(xx,szDzozmdt0(xF)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2911_02) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(mDomSet,axiom,
! [X1] :
( aFunction0(X1)
=> aSet0(szDzozmdt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDomSet) ).
fof(c_0_6,plain,
! [X143,X144,X145,X146,X148,X149,X150,X152] :
( ( aSet0(X145)
| X145 != sdtlcdtrc0(X143,X144)
| ~ aSubsetOf0(X144,szDzozmdt0(X143))
| ~ aFunction0(X143) )
& ( aElementOf0(esk14_4(X143,X144,X145,X146),X144)
| ~ aElementOf0(X146,X145)
| X145 != sdtlcdtrc0(X143,X144)
| ~ aSubsetOf0(X144,szDzozmdt0(X143))
| ~ aFunction0(X143) )
& ( sdtlpdtrp0(X143,esk14_4(X143,X144,X145,X146)) = X146
| ~ aElementOf0(X146,X145)
| X145 != sdtlcdtrc0(X143,X144)
| ~ aSubsetOf0(X144,szDzozmdt0(X143))
| ~ aFunction0(X143) )
& ( ~ aElementOf0(X149,X144)
| sdtlpdtrp0(X143,X149) != X148
| aElementOf0(X148,X145)
| X145 != sdtlcdtrc0(X143,X144)
| ~ aSubsetOf0(X144,szDzozmdt0(X143))
| ~ aFunction0(X143) )
& ( ~ aElementOf0(esk15_3(X143,X144,X150),X150)
| ~ aElementOf0(X152,X144)
| sdtlpdtrp0(X143,X152) != esk15_3(X143,X144,X150)
| ~ aSet0(X150)
| X150 = sdtlcdtrc0(X143,X144)
| ~ aSubsetOf0(X144,szDzozmdt0(X143))
| ~ aFunction0(X143) )
& ( aElementOf0(esk16_3(X143,X144,X150),X144)
| aElementOf0(esk15_3(X143,X144,X150),X150)
| ~ aSet0(X150)
| X150 = sdtlcdtrc0(X143,X144)
| ~ aSubsetOf0(X144,szDzozmdt0(X143))
| ~ aFunction0(X143) )
& ( sdtlpdtrp0(X143,esk16_3(X143,X144,X150)) = esk15_3(X143,X144,X150)
| aElementOf0(esk15_3(X143,X144,X150),X150)
| ~ aSet0(X150)
| X150 = sdtlcdtrc0(X143,X144)
| ~ aSubsetOf0(X144,szDzozmdt0(X143))
| ~ aFunction0(X143) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefSImg])])])])])]) ).
fof(c_0_7,negated_conjecture,
~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_8,plain,
( aElementOf0(X4,X5)
| ~ aElementOf0(X1,X2)
| sdtlpdtrp0(X3,X1) != X4
| X5 != sdtlcdtrc0(X3,X2)
| ~ aSubsetOf0(X2,szDzozmdt0(X3))
| ~ aFunction0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,X3))
| ~ aFunction0(X1)
| ~ aSubsetOf0(X3,szDzozmdt0(X1))
| ~ aElementOf0(X2,X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_8])]) ).
cnf(c_0_11,hypothesis,
aFunction0(xF),
inference(split_conjunct,[status(thm)],[m__2911]) ).
cnf(c_0_12,hypothesis,
aElementOf0(xx,szDzozmdt0(xF)),
inference(split_conjunct,[status(thm)],[m__2911_02]) ).
fof(c_0_13,plain,
! [X21] :
( ~ aSet0(X21)
| aSubsetOf0(X21,X21) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
cnf(c_0_14,negated_conjecture,
~ aSubsetOf0(szDzozmdt0(xF),szDzozmdt0(xF)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]) ).
cnf(c_0_15,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_16,plain,
! [X131] :
( ~ aFunction0(X131)
| aSet0(szDzozmdt0(X131)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDomSet])]) ).
cnf(c_0_17,negated_conjecture,
~ aSet0(szDzozmdt0(xF)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
( aSet0(szDzozmdt0(X1))
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM561+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n011.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 10:06:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.19/0.60 % Version : CSE_E---1.5
% 0.19/0.60 % Problem : theBenchmark.p
% 0.19/0.60 % Proof found
% 0.19/0.60 % SZS status Theorem for theBenchmark.p
% 0.19/0.60 % SZS output start Proof
% See solution above
% 0.19/0.60 % Total time : 0.033000 s
% 0.19/0.60 % SZS output end Proof
% 0.19/0.60 % Total time : 0.038000 s
%------------------------------------------------------------------------------