TSTP Solution File: NUM560+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM560+2 : 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 : n014.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 0.20s 0.61s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 40
% Syntax : Number of formulae : 46 ( 3 unt; 39 typ; 0 def)
% Number of atoms : 30 ( 4 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 32 ( 9 ~; 7 |; 10 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 57 ( 33 >; 24 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 6 con; 0-3 aty)
% Number of variables : 6 ( 0 sgn; 5 !; 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,
xF: $i ).
tff(decl_46,type,
xy: $i ).
tff(decl_47,type,
esk1_1: $i > $i ).
tff(decl_48,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_49,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk5_1: $i > $i ).
tff(decl_52,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_56,type,
esk10_1: $i > $i ).
tff(decl_57,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_58,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
esk14_0: $i ).
fof(m__,conjecture,
( ( aSet0(sdtlbdtrb0(xF,xy))
& ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
<=> ( aElementOf0(X1,szDzozmdt0(xF))
& sdtlpdtrp0(xF,X1) = xy ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
=> aElementOf0(X1,szDzozmdt0(xF)) )
| aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(c_0_1,negated_conjecture,
~ ( ( aSet0(sdtlbdtrb0(xF,xy))
& ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
<=> ( aElementOf0(X1,szDzozmdt0(xF))
& sdtlpdtrp0(xF,X1) = xy ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtlbdtrb0(xF,xy))
=> aElementOf0(X1,szDzozmdt0(xF)) )
| aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_2,negated_conjecture,
! [X140] :
( aSet0(sdtlbdtrb0(xF,xy))
& ( aElementOf0(X140,szDzozmdt0(xF))
| ~ aElementOf0(X140,sdtlbdtrb0(xF,xy)) )
& ( sdtlpdtrp0(xF,X140) = xy
| ~ aElementOf0(X140,sdtlbdtrb0(xF,xy)) )
& ( ~ aElementOf0(X140,szDzozmdt0(xF))
| sdtlpdtrp0(xF,X140) != xy
| aElementOf0(X140,sdtlbdtrb0(xF,xy)) )
& aElementOf0(esk14_0,sdtlbdtrb0(xF,xy))
& ~ aElementOf0(esk14_0,szDzozmdt0(xF))
& ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
cnf(c_0_3,negated_conjecture,
( aElementOf0(X1,szDzozmdt0(xF))
| ~ aElementOf0(X1,sdtlbdtrb0(xF,xy)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
aElementOf0(esk14_0,sdtlbdtrb0(xF,xy)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
~ aElementOf0(esk14_0,szDzozmdt0(xF)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM560+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n014.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 09:02:18 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.61 % Version : CSE_E---1.5
% 0.20/0.61 % Problem : theBenchmark.p
% 0.20/0.61 % Proof found
% 0.20/0.61 % SZS status Theorem for theBenchmark.p
% 0.20/0.61 % SZS output start Proof
% See solution above
% 0.20/0.61 % Total time : 0.026000 s
% 0.20/0.61 % SZS output end Proof
% 0.20/0.61 % Total time : 0.030000 s
%------------------------------------------------------------------------------