TSTP Solution File: NUM540+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM540+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 : n023.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 10:38:33 EDT 2023
% Result : Theorem 0.44s 0.60s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 29
% Syntax : Number of formulae : 34 ( 3 unt; 28 typ; 0 def)
% Number of atoms : 15 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 17 ( 8 ~; 2 |; 5 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 39 ( 24 >; 15 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 4 con; 0-3 aty)
% Number of variables : 6 ( 1 sgn; 3 !; 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,
esk1_1: $i > $i ).
tff(decl_41,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_42,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
esk5_1: $i > $i ).
tff(decl_45,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_46,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_47,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_48,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_49,type,
esk10_0: $i ).
fof(m__,conjecture,
( ( aSet0(slbdtrb0(sz00))
& ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00)) )
=> ( ~ ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
| slbdtrb0(sz00) = slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(c_0_1,negated_conjecture,
~ ( ( aSet0(slbdtrb0(sz00))
& ! [X1] : ~ aElementOf0(X1,slbdtrb0(sz00)) )
=> ( ~ ? [X1] : aElementOf0(X1,slbdtrb0(sz00))
| slbdtrb0(sz00) = slcrc0 ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(c_0_2,negated_conjecture,
! [X103] :
( aSet0(slbdtrb0(sz00))
& ~ aElementOf0(X103,slbdtrb0(sz00))
& aElementOf0(esk10_0,slbdtrb0(sz00))
& slbdtrb0(sz00) != slcrc0 ),
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(esk10_0,slbdtrb0(sz00)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
~ aElementOf0(X1,slbdtrb0(sz00)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_3,c_0_4]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM540+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 16:45:27 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.44/0.58 start to proof: theBenchmark
% 0.44/0.60 % Version : CSE_E---1.5
% 0.44/0.60 % Problem : theBenchmark.p
% 0.44/0.60 % Proof found
% 0.44/0.60 % SZS status Theorem for theBenchmark.p
% 0.44/0.60 % SZS output start Proof
% See solution above
% 0.44/0.60 % Total time : 0.012000 s
% 0.44/0.60 % SZS output end Proof
% 0.44/0.60 % Total time : 0.016000 s
%------------------------------------------------------------------------------