TSTP Solution File: RNG125+4 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : RNG125+4 : 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 13:49:20 EDT 2023
% Result : Theorem 0.20s 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 72
% Syntax : Number of formulae : 79 ( 3 unt; 69 typ; 0 def)
% Number of atoms : 49 ( 12 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 70 ( 31 ~; 20 |; 19 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 87 ( 45 >; 42 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 3 prp; 0-3 aty)
% Number of functors : 56 ( 56 usr; 22 con; 0-4 aty)
% Number of variables : 6 ( 0 sgn; 2 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aElement0: $i > $o ).
tff(decl_23,type,
sz00: $i ).
tff(decl_24,type,
sz10: $i ).
tff(decl_25,type,
smndt0: $i > $i ).
tff(decl_26,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(decl_27,type,
sdtasdt0: ( $i * $i ) > $i ).
tff(decl_28,type,
aSet0: $i > $o ).
tff(decl_29,type,
aElementOf0: ( $i * $i ) > $o ).
tff(decl_30,type,
sdtpldt1: ( $i * $i ) > $i ).
tff(decl_31,type,
sdtasasdt0: ( $i * $i ) > $i ).
tff(decl_32,type,
aIdeal0: $i > $o ).
tff(decl_33,type,
sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
aNaturalNumber0: $i > $o ).
tff(decl_35,type,
sbrdtbr0: $i > $i ).
tff(decl_36,type,
iLess0: ( $i * $i ) > $o ).
tff(decl_37,type,
doDivides0: ( $i * $i ) > $o ).
tff(decl_38,type,
aDivisorOf0: ( $i * $i ) > $o ).
tff(decl_39,type,
aGcdOfAnd0: ( $i * $i * $i ) > $o ).
tff(decl_40,type,
misRelativelyPrime0: ( $i * $i ) > $o ).
tff(decl_41,type,
slsdtgt0: $i > $i ).
tff(decl_42,type,
xa: $i ).
tff(decl_43,type,
xb: $i ).
tff(decl_44,type,
xc: $i ).
tff(decl_45,type,
xI: $i ).
tff(decl_46,type,
xu: $i ).
tff(decl_47,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_48,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_49,type,
esk3_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
esk4_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_51,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
esk9_1: $i > $i ).
tff(decl_56,type,
esk10_1: $i > $i ).
tff(decl_57,type,
esk11_1: $i > $i ).
tff(decl_58,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk13_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_67,type,
esk21_0: $i ).
tff(decl_68,type,
esk22_0: $i ).
tff(decl_69,type,
esk23_1: $i > $i ).
tff(decl_70,type,
esk24_1: $i > $i ).
tff(decl_71,type,
esk25_1: $i > $i ).
tff(decl_72,type,
esk26_1: $i > $i ).
tff(decl_73,type,
esk27_1: $i > $i ).
tff(decl_74,type,
esk28_0: $i ).
tff(decl_75,type,
esk29_0: $i ).
tff(decl_76,type,
esk30_0: $i ).
tff(decl_77,type,
esk31_0: $i ).
tff(decl_78,type,
esk32_0: $i ).
tff(decl_79,type,
esk33_1: $i > $i ).
tff(decl_80,type,
esk34_1: $i > $i ).
tff(decl_81,type,
esk35_0: $i ).
tff(decl_82,type,
esk36_0: $i ).
tff(decl_83,type,
esk37_0: $i ).
tff(decl_84,type,
esk38_0: $i ).
tff(decl_85,type,
esk39_0: $i ).
tff(decl_86,type,
esk40_0: $i ).
tff(decl_87,type,
esk41_0: $i ).
tff(decl_88,type,
esk42_0: $i ).
tff(decl_89,type,
epred1_0: $o ).
tff(decl_90,type,
epred2_0: $o ).
fof(m__2383,hypothesis,
~ ( ( ? [X1] :
( aElement0(X1)
& sdtasdt0(xu,X1) = xa )
| doDivides0(xu,xa)
| aDivisorOf0(xu,xa) )
& ( ? [X1] :
( aElement0(X1)
& sdtasdt0(xu,X1) = xb )
| doDivides0(xu,xb)
| aDivisorOf0(xu,xb) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2383) ).
fof(m__2479,hypothesis,
~ ~ ( ? [X1] :
( aElement0(X1)
& sdtasdt0(xu,X1) = xa )
& doDivides0(xu,xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2479) ).
fof(m__2612,hypothesis,
~ ~ ( ? [X1] :
( aElement0(X1)
& sdtasdt0(xu,X1) = xb )
& doDivides0(xu,xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2612) ).
fof(c_0_3,hypothesis,
! [X152,X153] :
( ( ~ aElement0(X153)
| sdtasdt0(xu,X153) != xb
| ~ aElement0(X152)
| sdtasdt0(xu,X152) != xa )
& ( ~ doDivides0(xu,xb)
| ~ aElement0(X152)
| sdtasdt0(xu,X152) != xa )
& ( ~ aDivisorOf0(xu,xb)
| ~ aElement0(X152)
| sdtasdt0(xu,X152) != xa )
& ( ~ aElement0(X153)
| sdtasdt0(xu,X153) != xb
| ~ doDivides0(xu,xa) )
& ( ~ doDivides0(xu,xb)
| ~ doDivides0(xu,xa) )
& ( ~ aDivisorOf0(xu,xb)
| ~ doDivides0(xu,xa) )
& ( ~ aElement0(X153)
| sdtasdt0(xu,X153) != xb
| ~ aDivisorOf0(xu,xa) )
& ( ~ doDivides0(xu,xb)
| ~ aDivisorOf0(xu,xa) )
& ( ~ aDivisorOf0(xu,xb)
| ~ aDivisorOf0(xu,xa) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2383])])])]) ).
fof(c_0_4,hypothesis,
( aElement0(esk41_0)
& sdtasdt0(xu,esk41_0) = xa
& doDivides0(xu,xa) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2479])])]) ).
fof(c_0_5,hypothesis,
( aElement0(esk42_0)
& sdtasdt0(xu,esk42_0) = xb
& doDivides0(xu,xb) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2612])])]) ).
cnf(c_0_6,hypothesis,
( ~ doDivides0(xu,xb)
| ~ doDivides0(xu,xa) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,hypothesis,
doDivides0(xu,xa),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,hypothesis,
doDivides0(xu,xb),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : RNG125+4 : 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
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 02:27:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.58 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
% 0.20/0.62 % Total time : 0.026000 s
% 0.20/0.62 % SZS output end Proof
% 0.20/0.62 % Total time : 0.030000 s
%------------------------------------------------------------------------------