TSTP Solution File: NUM632+3 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM632+3 : 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 10:39:31 EDT 2023
% Result : Theorem 0.80s 1.00s
% Output : CNFRefutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 96
% Syntax : Number of formulae : 102 ( 8 unt; 93 typ; 0 def)
% Number of atoms : 13 ( 9 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 7 ( 3 ~; 0 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 141 ( 74 >; 67 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 80 ( 80 usr; 19 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn; 0 !; 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,
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,
epred1_1: $i > $o ).
tff(decl_63,type,
epred2_1: $i > $o ).
tff(decl_64,type,
epred3_1: $i > $o ).
tff(decl_65,type,
epred4_1: $i > $o ).
tff(decl_66,type,
esk1_1: $i > $i ).
tff(decl_67,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk4_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk5_1: $i > $i ).
tff(decl_71,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_73,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_74,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_75,type,
esk10_1: $i > $i ).
tff(decl_76,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk14_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_84,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_85,type,
esk20_1: $i > $i ).
tff(decl_86,type,
esk21_1: $i > $i ).
tff(decl_87,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_88,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk26_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_94,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
esk30_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk31_1: $i > $i ).
tff(decl_97,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_98,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_99,type,
esk34_1: $i > $i ).
tff(decl_100,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_101,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_102,type,
esk37_1: $i > $i ).
tff(decl_103,type,
esk38_1: $i > $i ).
tff(decl_104,type,
esk39_1: $i > $i ).
tff(decl_105,type,
esk40_0: $i ).
tff(decl_106,type,
esk41_0: $i ).
tff(decl_107,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_108,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_109,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_110,type,
esk45_2: ( $i * $i ) > $i ).
tff(decl_111,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_112,type,
esk47_1: $i > $i ).
tff(decl_113,type,
esk48_1: $i > $i ).
tff(decl_114,type,
esk49_2: ( $i * $i ) > $i ).
fof(m__,conjecture,
sdtlpdtrp0(xc,xQ) = szDzizrdt0(xd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__5309,hypothesis,
( aElementOf0(xn,szDzozmdt0(xd))
& sdtlpdtrp0(xd,xn) = szDzizrdt0(xd)
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).
fof(m__5568,hypothesis,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5568) ).
fof(c_0_3,negated_conjecture,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_4,negated_conjecture,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_5,hypothesis,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_6,hypothesis,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
inference(split_conjunct,[status(thm)],[m__5568]) ).
cnf(c_0_7,negated_conjecture,
sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn),
inference(rw,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,hypothesis,
$false,
inference(sr,[status(thm)],[c_0_6,c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM632+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 10:11:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.62 start to proof: theBenchmark
% 0.80/1.00 % Version : CSE_E---1.5
% 0.80/1.00 % Problem : theBenchmark.p
% 0.80/1.00 % Proof found
% 0.80/1.00 % SZS status Theorem for theBenchmark.p
% 0.80/1.00 % SZS output start Proof
% See solution above
% 0.80/1.01 % Total time : 0.369000 s
% 0.80/1.01 % SZS output end Proof
% 0.80/1.01 % Total time : 0.379000 s
%------------------------------------------------------------------------------