TSTP Solution File: RNG112+4 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : RNG112+4 : 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 : n009.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 13:49:14 EDT 2023
% Result : Theorem 3.69s 3.80s
% Output : CNFRefutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 70
% Syntax : Number of formulae : 95 ( 8 unt; 66 typ; 0 def)
% Number of atoms : 290 ( 113 equ)
% Maximal formula atoms : 68 ( 10 avg)
% Number of connectives : 387 ( 126 ~; 142 |; 105 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 90 ( 48 >; 42 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 55 ( 55 usr; 18 con; 0-4 aty)
% Number of variables : 82 ( 0 sgn; 40 !; 33 ?; 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,
esk1_2: ( $i * $i ) > $i ).
tff(decl_47,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_48,type,
esk3_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_49,type,
esk4_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk9_1: $i > $i ).
tff(decl_55,type,
esk10_1: $i > $i ).
tff(decl_56,type,
esk11_1: $i > $i ).
tff(decl_57,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk13_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_59,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_63,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk21_0: $i ).
tff(decl_67,type,
esk22_0: $i ).
tff(decl_68,type,
esk23_1: $i > $i ).
tff(decl_69,type,
esk24_1: $i > $i ).
tff(decl_70,type,
esk25_1: $i > $i ).
tff(decl_71,type,
esk26_1: $i > $i ).
tff(decl_72,type,
esk27_1: $i > $i ).
tff(decl_73,type,
esk28_0: $i ).
tff(decl_74,type,
esk29_0: $i ).
tff(decl_75,type,
esk30_0: $i ).
tff(decl_76,type,
esk31_0: $i ).
tff(decl_77,type,
esk32_0: $i ).
tff(decl_78,type,
esk33_1: $i > $i ).
tff(decl_79,type,
esk34_1: $i > $i ).
tff(decl_80,type,
esk35_0: $i ).
tff(decl_81,type,
esk36_0: $i ).
tff(decl_82,type,
esk37_0: $i ).
tff(decl_83,type,
esk38_0: $i ).
tff(decl_84,type,
esk39_0: $i ).
tff(decl_85,type,
esk40_1: $i > $i ).
tff(decl_86,type,
esk41_1: $i > $i ).
tff(decl_87,type,
esk42_1: $i > $i ).
fof(m__2351,hypothesis,
! [X1] :
( ( ( ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
| aElementOf0(X1,xI) )
& X1 != sz00 )
=> ? [X2] :
( ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xa))
& aElementOf0(X4,slsdtgt0(xb))
& sdtpldt0(X3,X4) = X2 )
& aElementOf0(X2,xI)
& X2 != sz00
& ! [X3] :
( ( ( ? [X4,X5] :
( aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X5,slsdtgt0(xb))
& sdtpldt0(X4,X5) = X3 )
| aElementOf0(X3,xI) )
& X3 != sz00 )
=> ~ iLess0(sbrdtbr0(X3),sbrdtbr0(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2351) ).
fof(m__2228,hypothesis,
? [X1] :
( ! [X2] :
( aElementOf0(X2,slsdtgt0(xa))
<=> ? [X3] :
( aElement0(X3)
& sdtasdt0(xa,X3) = X2 ) )
& ! [X2] :
( aElementOf0(X2,slsdtgt0(xb))
<=> ? [X3] :
( aElement0(X3)
& sdtasdt0(xb,X3) = X2 ) )
& ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
& aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& X1 != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2228) ).
fof(m__2174,hypothesis,
( aSet0(xI)
& ! [X1] :
( aElementOf0(X1,xI)
=> ( ! [X2] :
( aElementOf0(X2,xI)
=> aElementOf0(sdtpldt0(X1,X2),xI) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),xI) ) ) )
& aIdeal0(xI)
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xa))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xa,X2) = X1 ) )
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xb))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xb,X2) = X1 ) )
& ! [X1] :
( aElementOf0(X1,xI)
<=> ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).
fof(m__,conjecture,
? [X1] :
( ( ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
| aElementOf0(X1,xI) )
& X1 != sz00
& ! [X2] :
( ( ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xa))
& aElementOf0(X4,slsdtgt0(xb))
& sdtpldt0(X3,X4) = X2 )
& aElementOf0(X2,xI)
& X2 != sz00 )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(c_0_4,hypothesis,
! [X1] :
( ( ( ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
| aElementOf0(X1,xI) )
& X1 != sz00 )
=> ? [X2] :
( ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xa))
& aElementOf0(X4,slsdtgt0(xb))
& sdtpldt0(X3,X4) = X2 )
& aElementOf0(X2,xI)
& X2 != sz00
& ! [X3] :
( ( ( ? [X4,X5] :
( aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X5,slsdtgt0(xb))
& sdtpldt0(X4,X5) = X3 )
| aElementOf0(X3,xI) )
& X3 != sz00 )
=> ~ iLess0(sbrdtbr0(X3),sbrdtbr0(X2)) ) ) ),
inference(fof_simplification,[status(thm)],[m__2351]) ).
fof(c_0_5,hypothesis,
! [X139,X141,X142,X144] :
( ( aElement0(esk33_1(X139))
| ~ aElementOf0(X139,slsdtgt0(xa)) )
& ( sdtasdt0(xa,esk33_1(X139)) = X139
| ~ aElementOf0(X139,slsdtgt0(xa)) )
& ( ~ aElement0(X141)
| sdtasdt0(xa,X141) != X139
| aElementOf0(X139,slsdtgt0(xa)) )
& ( aElement0(esk34_1(X142))
| ~ aElementOf0(X142,slsdtgt0(xb)) )
& ( sdtasdt0(xb,esk34_1(X142)) = X142
| ~ aElementOf0(X142,slsdtgt0(xb)) )
& ( ~ aElement0(X144)
| sdtasdt0(xb,X144) != X142
| aElementOf0(X142,slsdtgt0(xb)) )
& aElementOf0(esk35_0,slsdtgt0(xa))
& aElementOf0(esk36_0,slsdtgt0(xb))
& sdtpldt0(esk35_0,esk36_0) = esk32_0
& aElementOf0(esk32_0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& esk32_0 != sz00 ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2228])])])])]) ).
fof(c_0_6,hypothesis,
! [X117,X118,X119,X120,X122,X123,X124,X126,X127,X128,X131,X132,X133] :
( aSet0(xI)
& ( ~ aElementOf0(X118,xI)
| aElementOf0(sdtpldt0(X117,X118),xI)
| ~ aElementOf0(X117,xI) )
& ( ~ aElement0(X119)
| aElementOf0(sdtasdt0(X119,X117),xI)
| ~ aElementOf0(X117,xI) )
& aIdeal0(xI)
& ( aElement0(esk24_1(X120))
| ~ aElementOf0(X120,slsdtgt0(xa)) )
& ( sdtasdt0(xa,esk24_1(X120)) = X120
| ~ aElementOf0(X120,slsdtgt0(xa)) )
& ( ~ aElement0(X123)
| sdtasdt0(xa,X123) != X122
| aElementOf0(X122,slsdtgt0(xa)) )
& ( aElement0(esk25_1(X124))
| ~ aElementOf0(X124,slsdtgt0(xb)) )
& ( sdtasdt0(xb,esk25_1(X124)) = X124
| ~ aElementOf0(X124,slsdtgt0(xb)) )
& ( ~ aElement0(X127)
| sdtasdt0(xb,X127) != X126
| aElementOf0(X126,slsdtgt0(xb)) )
& ( aElementOf0(esk26_1(X128),slsdtgt0(xa))
| ~ aElementOf0(X128,xI) )
& ( aElementOf0(esk27_1(X128),slsdtgt0(xb))
| ~ aElementOf0(X128,xI) )
& ( sdtpldt0(esk26_1(X128),esk27_1(X128)) = X128
| ~ aElementOf0(X128,xI) )
& ( ~ aElementOf0(X132,slsdtgt0(xa))
| ~ aElementOf0(X133,slsdtgt0(xb))
| sdtpldt0(X132,X133) != X131
| aElementOf0(X131,xI) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
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)],[m__2174])])])])])]) ).
fof(c_0_7,negated_conjecture,
~ ? [X1] :
( ( ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
| aElementOf0(X1,xI) )
& X1 != sz00
& ! [X2] :
( ( ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xa))
& aElementOf0(X4,slsdtgt0(xb))
& sdtpldt0(X3,X4) = X2 )
& aElementOf0(X2,xI)
& X2 != sz00 )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(c_0_8,hypothesis,
! [X147,X148,X149,X153,X154,X155] :
( ( aElementOf0(esk38_0,slsdtgt0(xa))
| ~ aElementOf0(X148,slsdtgt0(xa))
| ~ aElementOf0(X149,slsdtgt0(xb))
| sdtpldt0(X148,X149) != X147
| X147 = sz00 )
& ( aElementOf0(esk39_0,slsdtgt0(xb))
| ~ aElementOf0(X148,slsdtgt0(xa))
| ~ aElementOf0(X149,slsdtgt0(xb))
| sdtpldt0(X148,X149) != X147
| X147 = sz00 )
& ( sdtpldt0(esk38_0,esk39_0) = esk37_0
| ~ aElementOf0(X148,slsdtgt0(xa))
| ~ aElementOf0(X149,slsdtgt0(xb))
| sdtpldt0(X148,X149) != X147
| X147 = sz00 )
& ( aElementOf0(esk37_0,xI)
| ~ aElementOf0(X148,slsdtgt0(xa))
| ~ aElementOf0(X149,slsdtgt0(xb))
| sdtpldt0(X148,X149) != X147
| X147 = sz00 )
& ( esk37_0 != sz00
| ~ aElementOf0(X148,slsdtgt0(xa))
| ~ aElementOf0(X149,slsdtgt0(xb))
| sdtpldt0(X148,X149) != X147
| X147 = sz00 )
& ( ~ aElementOf0(X154,slsdtgt0(xa))
| ~ aElementOf0(X155,slsdtgt0(xb))
| sdtpldt0(X154,X155) != X153
| X153 = sz00
| ~ iLess0(sbrdtbr0(X153),sbrdtbr0(esk37_0))
| ~ aElementOf0(X148,slsdtgt0(xa))
| ~ aElementOf0(X149,slsdtgt0(xb))
| sdtpldt0(X148,X149) != X147
| X147 = sz00 )
& ( ~ aElementOf0(X153,xI)
| X153 = sz00
| ~ iLess0(sbrdtbr0(X153),sbrdtbr0(esk37_0))
| ~ aElementOf0(X148,slsdtgt0(xa))
| ~ aElementOf0(X149,slsdtgt0(xb))
| sdtpldt0(X148,X149) != X147
| X147 = sz00 )
& ( aElementOf0(esk38_0,slsdtgt0(xa))
| ~ aElementOf0(X147,xI)
| X147 = sz00 )
& ( aElementOf0(esk39_0,slsdtgt0(xb))
| ~ aElementOf0(X147,xI)
| X147 = sz00 )
& ( sdtpldt0(esk38_0,esk39_0) = esk37_0
| ~ aElementOf0(X147,xI)
| X147 = sz00 )
& ( aElementOf0(esk37_0,xI)
| ~ aElementOf0(X147,xI)
| X147 = sz00 )
& ( esk37_0 != sz00
| ~ aElementOf0(X147,xI)
| X147 = sz00 )
& ( ~ aElementOf0(X154,slsdtgt0(xa))
| ~ aElementOf0(X155,slsdtgt0(xb))
| sdtpldt0(X154,X155) != X153
| X153 = sz00
| ~ iLess0(sbrdtbr0(X153),sbrdtbr0(esk37_0))
| ~ aElementOf0(X147,xI)
| X147 = sz00 )
& ( ~ aElementOf0(X153,xI)
| X153 = sz00
| ~ iLess0(sbrdtbr0(X153),sbrdtbr0(esk37_0))
| ~ aElementOf0(X147,xI)
| X147 = sz00 ) ),
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)],[c_0_4])])])])])]) ).
cnf(c_0_9,hypothesis,
aElementOf0(esk32_0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,hypothesis,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_11,negated_conjecture,
! [X156,X157,X158] :
( ( aElementOf0(esk41_1(X156),slsdtgt0(xa))
| ~ aElementOf0(X157,slsdtgt0(xa))
| ~ aElementOf0(X158,slsdtgt0(xb))
| sdtpldt0(X157,X158) != X156
| X156 = sz00 )
& ( aElementOf0(esk42_1(X156),slsdtgt0(xb))
| ~ aElementOf0(X157,slsdtgt0(xa))
| ~ aElementOf0(X158,slsdtgt0(xb))
| sdtpldt0(X157,X158) != X156
| X156 = sz00 )
& ( sdtpldt0(esk41_1(X156),esk42_1(X156)) = esk40_1(X156)
| ~ aElementOf0(X157,slsdtgt0(xa))
| ~ aElementOf0(X158,slsdtgt0(xb))
| sdtpldt0(X157,X158) != X156
| X156 = sz00 )
& ( aElementOf0(esk40_1(X156),xI)
| ~ aElementOf0(X157,slsdtgt0(xa))
| ~ aElementOf0(X158,slsdtgt0(xb))
| sdtpldt0(X157,X158) != X156
| X156 = sz00 )
& ( esk40_1(X156) != sz00
| ~ aElementOf0(X157,slsdtgt0(xa))
| ~ aElementOf0(X158,slsdtgt0(xb))
| sdtpldt0(X157,X158) != X156
| X156 = sz00 )
& ( iLess0(sbrdtbr0(esk40_1(X156)),sbrdtbr0(X156))
| ~ aElementOf0(X157,slsdtgt0(xa))
| ~ aElementOf0(X158,slsdtgt0(xb))
| sdtpldt0(X157,X158) != X156
| X156 = sz00 )
& ( aElementOf0(esk41_1(X156),slsdtgt0(xa))
| ~ aElementOf0(X156,xI)
| X156 = sz00 )
& ( aElementOf0(esk42_1(X156),slsdtgt0(xb))
| ~ aElementOf0(X156,xI)
| X156 = sz00 )
& ( sdtpldt0(esk41_1(X156),esk42_1(X156)) = esk40_1(X156)
| ~ aElementOf0(X156,xI)
| X156 = sz00 )
& ( aElementOf0(esk40_1(X156),xI)
| ~ aElementOf0(X156,xI)
| X156 = sz00 )
& ( esk40_1(X156) != sz00
| ~ aElementOf0(X156,xI)
| X156 = sz00 )
& ( iLess0(sbrdtbr0(esk40_1(X156)),sbrdtbr0(X156))
| ~ aElementOf0(X156,xI)
| X156 = sz00 ) ),
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_7])])])])]) ).
cnf(c_0_12,hypothesis,
( aElementOf0(esk37_0,xI)
| X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,hypothesis,
aElementOf0(esk32_0,xI),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,hypothesis,
esk32_0 != sz00,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_15,hypothesis,
( X1 = sz00
| X2 = sz00
| ~ aElementOf0(X1,xI)
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| ~ aElementOf0(X2,xI) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
( aElementOf0(esk40_1(X1),xI)
| X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,hypothesis,
aElementOf0(esk37_0,xI),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( iLess0(sbrdtbr0(esk40_1(X1)),sbrdtbr0(X1))
| X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,hypothesis,
( X1 = sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| ~ aElementOf0(X1,xI) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_13]),c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( sz00 = esk37_0
| aElementOf0(esk40_1(esk37_0),xI) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( sz00 = esk37_0
| iLess0(sbrdtbr0(esk40_1(esk37_0)),sbrdtbr0(esk37_0)) ),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( X1 = sz00
| esk40_1(X1) != sz00
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_23,negated_conjecture,
( esk40_1(esk37_0) = sz00
| sz00 = esk37_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_24,hypothesis,
( X1 = sz00
| esk37_0 != sz00
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_25,negated_conjecture,
sz00 = esk37_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_17])]) ).
cnf(c_0_26,hypothesis,
( X1 = esk37_0
| ~ aElementOf0(X1,xI) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_25])]) ).
cnf(c_0_27,hypothesis,
esk32_0 != esk37_0,
inference(rw,[status(thm)],[c_0_14,c_0_25]) ).
cnf(c_0_28,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_13]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG112+4 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.32 % Computer : n009.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Sun Aug 27 01:26:50 EDT 2023
% 0.13/0.32 % CPUTime :
% 0.18/0.55 start to proof: theBenchmark
% 3.69/3.80 % Version : CSE_E---1.5
% 3.69/3.80 % Problem : theBenchmark.p
% 3.69/3.80 % Proof found
% 3.69/3.80 % SZS status Theorem for theBenchmark.p
% 3.69/3.80 % SZS output start Proof
% See solution above
% 3.69/3.81 % Total time : 3.246000 s
% 3.69/3.81 % SZS output end Proof
% 3.69/3.81 % Total time : 3.250000 s
%------------------------------------------------------------------------------