TSTP Solution File: RNG111+4 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : RNG111+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 : n031.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 169.59s 169.75s
% Output : CNFRefutation 169.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 70
% Syntax : Number of formulae : 108 ( 20 unt; 69 typ; 0 def)
% Number of atoms : 283 ( 111 equ)
% Maximal formula atoms : 135 ( 7 avg)
% Number of connectives : 385 ( 141 ~; 156 |; 76 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 93 ( 51 >; 42 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 58 ( 58 usr; 18 con; 0-4 aty)
% Number of variables : 67 ( 0 sgn; 17 !; 28 ?; 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 ).
tff(decl_88,type,
esk43_1: $i > $i ).
tff(decl_89,type,
esk44_1: $i > $i ).
tff(decl_90,type,
esk45_1: $i > $i ).
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))
=> ? [X3] :
( ? [X4,X5] :
( aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X5,slsdtgt0(xb))
& sdtpldt0(X4,X5) = X3 )
& aElementOf0(X3,xI)
& X3 != sz00
& ! [X4] :
( ( ( ? [X5,X6] :
( aElementOf0(X5,slsdtgt0(xa))
& aElementOf0(X6,slsdtgt0(xb))
& sdtpldt0(X5,X6) = X4 )
| aElementOf0(X4,xI) )
& X4 != sz00 )
=> ~ iLess0(sbrdtbr0(X4),sbrdtbr0(X3)) ) ) ) )
=> ? [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/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c_0_1,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))
=> ? [X3] :
( ? [X4,X5] :
( aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X5,slsdtgt0(xb))
& sdtpldt0(X4,X5) = X3 )
& aElementOf0(X3,xI)
& X3 != sz00
& ! [X4] :
( ( ( ? [X5,X6] :
( aElementOf0(X5,slsdtgt0(xa))
& aElementOf0(X6,slsdtgt0(xb))
& sdtpldt0(X5,X6) = X4 )
| aElementOf0(X4,xI) )
& X4 != sz00 )
=> ~ iLess0(sbrdtbr0(X4),sbrdtbr0(X3)) ) ) ) )
=> ? [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)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(c_0_2,negated_conjecture,
! [X150,X151,X152,X156,X157,X158,X159,X160,X161] :
( aElementOf0(esk38_0,slsdtgt0(xa))
& aElementOf0(esk39_0,slsdtgt0(xb))
& sdtpldt0(esk38_0,esk39_0) = esk37_0
& aElementOf0(esk37_0,xI)
& esk37_0 != sz00
& ( aElementOf0(esk41_1(X150),slsdtgt0(xa))
| ~ iLess0(sbrdtbr0(X150),sbrdtbr0(esk37_0))
| ~ aElementOf0(X151,slsdtgt0(xa))
| ~ aElementOf0(X152,slsdtgt0(xb))
| sdtpldt0(X151,X152) != X150
| X150 = sz00 )
& ( aElementOf0(esk42_1(X150),slsdtgt0(xb))
| ~ iLess0(sbrdtbr0(X150),sbrdtbr0(esk37_0))
| ~ aElementOf0(X151,slsdtgt0(xa))
| ~ aElementOf0(X152,slsdtgt0(xb))
| sdtpldt0(X151,X152) != X150
| X150 = sz00 )
& ( sdtpldt0(esk41_1(X150),esk42_1(X150)) = esk40_1(X150)
| ~ iLess0(sbrdtbr0(X150),sbrdtbr0(esk37_0))
| ~ aElementOf0(X151,slsdtgt0(xa))
| ~ aElementOf0(X152,slsdtgt0(xb))
| sdtpldt0(X151,X152) != X150
| X150 = sz00 )
& ( aElementOf0(esk40_1(X150),xI)
| ~ iLess0(sbrdtbr0(X150),sbrdtbr0(esk37_0))
| ~ aElementOf0(X151,slsdtgt0(xa))
| ~ aElementOf0(X152,slsdtgt0(xb))
| sdtpldt0(X151,X152) != X150
| X150 = sz00 )
& ( esk40_1(X150) != sz00
| ~ iLess0(sbrdtbr0(X150),sbrdtbr0(esk37_0))
| ~ aElementOf0(X151,slsdtgt0(xa))
| ~ aElementOf0(X152,slsdtgt0(xb))
| sdtpldt0(X151,X152) != X150
| X150 = sz00 )
& ( ~ aElementOf0(X157,slsdtgt0(xa))
| ~ aElementOf0(X158,slsdtgt0(xb))
| sdtpldt0(X157,X158) != X156
| X156 = sz00
| ~ iLess0(sbrdtbr0(X156),sbrdtbr0(esk40_1(X150)))
| ~ iLess0(sbrdtbr0(X150),sbrdtbr0(esk37_0))
| ~ aElementOf0(X151,slsdtgt0(xa))
| ~ aElementOf0(X152,slsdtgt0(xb))
| sdtpldt0(X151,X152) != X150
| X150 = sz00 )
& ( ~ aElementOf0(X156,xI)
| X156 = sz00
| ~ iLess0(sbrdtbr0(X156),sbrdtbr0(esk40_1(X150)))
| ~ iLess0(sbrdtbr0(X150),sbrdtbr0(esk37_0))
| ~ aElementOf0(X151,slsdtgt0(xa))
| ~ aElementOf0(X152,slsdtgt0(xb))
| sdtpldt0(X151,X152) != X150
| X150 = sz00 )
& ( aElementOf0(esk41_1(X150),slsdtgt0(xa))
| ~ iLess0(sbrdtbr0(X150),sbrdtbr0(esk37_0))
| ~ aElementOf0(X150,xI)
| X150 = sz00 )
& ( aElementOf0(esk42_1(X150),slsdtgt0(xb))
| ~ iLess0(sbrdtbr0(X150),sbrdtbr0(esk37_0))
| ~ aElementOf0(X150,xI)
| X150 = sz00 )
& ( sdtpldt0(esk41_1(X150),esk42_1(X150)) = esk40_1(X150)
| ~ iLess0(sbrdtbr0(X150),sbrdtbr0(esk37_0))
| ~ aElementOf0(X150,xI)
| X150 = sz00 )
& ( aElementOf0(esk40_1(X150),xI)
| ~ iLess0(sbrdtbr0(X150),sbrdtbr0(esk37_0))
| ~ aElementOf0(X150,xI)
| X150 = sz00 )
& ( esk40_1(X150) != sz00
| ~ iLess0(sbrdtbr0(X150),sbrdtbr0(esk37_0))
| ~ aElementOf0(X150,xI)
| X150 = sz00 )
& ( ~ aElementOf0(X157,slsdtgt0(xa))
| ~ aElementOf0(X158,slsdtgt0(xb))
| sdtpldt0(X157,X158) != X156
| X156 = sz00
| ~ iLess0(sbrdtbr0(X156),sbrdtbr0(esk40_1(X150)))
| ~ iLess0(sbrdtbr0(X150),sbrdtbr0(esk37_0))
| ~ aElementOf0(X150,xI)
| X150 = sz00 )
& ( ~ aElementOf0(X156,xI)
| X156 = sz00
| ~ iLess0(sbrdtbr0(X156),sbrdtbr0(esk40_1(X150)))
| ~ iLess0(sbrdtbr0(X150),sbrdtbr0(esk37_0))
| ~ aElementOf0(X150,xI)
| X150 = sz00 )
& ( aElementOf0(esk44_1(X159),slsdtgt0(xa))
| ~ aElementOf0(X160,slsdtgt0(xa))
| ~ aElementOf0(X161,slsdtgt0(xb))
| sdtpldt0(X160,X161) != X159
| X159 = sz00 )
& ( aElementOf0(esk45_1(X159),slsdtgt0(xb))
| ~ aElementOf0(X160,slsdtgt0(xa))
| ~ aElementOf0(X161,slsdtgt0(xb))
| sdtpldt0(X160,X161) != X159
| X159 = sz00 )
& ( sdtpldt0(esk44_1(X159),esk45_1(X159)) = esk43_1(X159)
| ~ aElementOf0(X160,slsdtgt0(xa))
| ~ aElementOf0(X161,slsdtgt0(xb))
| sdtpldt0(X160,X161) != X159
| X159 = sz00 )
& ( aElementOf0(esk43_1(X159),xI)
| ~ aElementOf0(X160,slsdtgt0(xa))
| ~ aElementOf0(X161,slsdtgt0(xb))
| sdtpldt0(X160,X161) != X159
| X159 = sz00 )
& ( esk43_1(X159) != sz00
| ~ aElementOf0(X160,slsdtgt0(xa))
| ~ aElementOf0(X161,slsdtgt0(xb))
| sdtpldt0(X160,X161) != X159
| X159 = sz00 )
& ( iLess0(sbrdtbr0(esk43_1(X159)),sbrdtbr0(X159))
| ~ aElementOf0(X160,slsdtgt0(xa))
| ~ aElementOf0(X161,slsdtgt0(xb))
| sdtpldt0(X160,X161) != X159
| X159 = sz00 )
& ( aElementOf0(esk44_1(X159),slsdtgt0(xa))
| ~ aElementOf0(X159,xI)
| X159 = sz00 )
& ( aElementOf0(esk45_1(X159),slsdtgt0(xb))
| ~ aElementOf0(X159,xI)
| X159 = sz00 )
& ( sdtpldt0(esk44_1(X159),esk45_1(X159)) = esk43_1(X159)
| ~ aElementOf0(X159,xI)
| X159 = sz00 )
& ( aElementOf0(esk43_1(X159),xI)
| ~ aElementOf0(X159,xI)
| X159 = sz00 )
& ( esk43_1(X159) != sz00
| ~ aElementOf0(X159,xI)
| X159 = sz00 )
& ( iLess0(sbrdtbr0(esk43_1(X159)),sbrdtbr0(X159))
| ~ aElementOf0(X159,xI)
| X159 = 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_1])])])])]) ).
cnf(c_0_3,negated_conjecture,
( X1 = sz00
| esk43_1(X1) != sz00
| ~ aElementOf0(X2,slsdtgt0(xa))
| ~ aElementOf0(X3,slsdtgt0(xb))
| sdtpldt0(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
( X1 = sz00
| esk40_1(X1) != sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| ~ aElementOf0(X2,slsdtgt0(xa))
| ~ aElementOf0(X3,slsdtgt0(xb))
| sdtpldt0(X2,X3) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( sdtpldt0(esk44_1(X1),esk45_1(X1)) = esk43_1(X1)
| X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
aElementOf0(esk37_0,xI),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
esk37_0 != sz00,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( aElementOf0(esk45_1(X1),slsdtgt0(xb))
| X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
( aElementOf0(esk44_1(X1),slsdtgt0(xa))
| X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
( sdtpldt0(X1,X2) = sz00
| esk43_1(sdtpldt0(X1,X2)) != sz00
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(er,[status(thm)],[c_0_3]) ).
cnf(c_0_11,negated_conjecture,
sdtpldt0(esk38_0,esk39_0) = esk37_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
aElementOf0(esk39_0,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
aElementOf0(esk38_0,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_14,negated_conjecture,
( aElementOf0(esk43_1(X1),xI)
| X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_15,negated_conjecture,
( iLess0(sbrdtbr0(esk43_1(X1)),sbrdtbr0(X1))
| X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,negated_conjecture,
( sdtpldt0(X1,X2) = sz00
| esk40_1(sdtpldt0(X1,X2)) != sz00
| ~ iLess0(sbrdtbr0(sdtpldt0(X1,X2)),sbrdtbr0(esk37_0))
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(er,[status(thm)],[c_0_4]) ).
cnf(c_0_17,negated_conjecture,
sdtpldt0(esk44_1(esk37_0),esk45_1(esk37_0)) = esk43_1(esk37_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).
cnf(c_0_18,negated_conjecture,
aElementOf0(esk45_1(esk37_0),slsdtgt0(xb)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_6]),c_0_7]) ).
cnf(c_0_19,negated_conjecture,
aElementOf0(esk44_1(esk37_0),slsdtgt0(xa)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_6]),c_0_7]) ).
cnf(c_0_20,negated_conjecture,
esk43_1(esk37_0) != sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13])]),c_0_7]) ).
cnf(c_0_21,negated_conjecture,
( aElementOf0(esk40_1(X1),xI)
| X1 = sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_22,negated_conjecture,
aElementOf0(esk43_1(esk37_0),xI),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_6]),c_0_7]) ).
cnf(c_0_23,negated_conjecture,
iLess0(sbrdtbr0(esk43_1(esk37_0)),sbrdtbr0(esk37_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_6]),c_0_7]) ).
cnf(c_0_24,negated_conjecture,
( esk40_1(esk43_1(esk37_0)) != sz00
| ~ iLess0(sbrdtbr0(esk43_1(esk37_0)),sbrdtbr0(esk37_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( sdtpldt0(esk41_1(X1),esk42_1(X1)) = esk40_1(X1)
| X1 = sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_26,negated_conjecture,
( aElementOf0(esk42_1(X1),slsdtgt0(xb))
| X1 = sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_27,negated_conjecture,
( aElementOf0(esk41_1(X1),slsdtgt0(xa))
| X1 = sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_28,negated_conjecture,
( X1 = sz00
| X2 = sz00
| ~ aElementOf0(X1,xI)
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk40_1(X2)))
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(esk37_0))
| ~ aElementOf0(X2,xI) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_29,negated_conjecture,
aElementOf0(esk40_1(esk43_1(esk37_0)),xI),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_20]),c_0_23])]) ).
cnf(c_0_30,negated_conjecture,
esk40_1(esk43_1(esk37_0)) != sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_23])]) ).
cnf(c_0_31,negated_conjecture,
sdtpldt0(esk41_1(esk43_1(esk37_0)),esk42_1(esk43_1(esk37_0))) = esk40_1(esk43_1(esk37_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_22]),c_0_20]),c_0_23])]) ).
cnf(c_0_32,negated_conjecture,
aElementOf0(esk42_1(esk43_1(esk37_0)),slsdtgt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_22]),c_0_20]),c_0_23])]) ).
cnf(c_0_33,negated_conjecture,
aElementOf0(esk41_1(esk43_1(esk37_0)),slsdtgt0(xa)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_22]),c_0_20]),c_0_23])]) ).
cnf(c_0_34,negated_conjecture,
( X1 = sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk40_1(esk43_1(esk37_0))))
| ~ aElementOf0(X1,xI) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_22]),c_0_20]),c_0_23])]) ).
cnf(c_0_35,negated_conjecture,
aElementOf0(esk43_1(esk40_1(esk43_1(esk37_0))),xI),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_29]),c_0_30]) ).
cnf(c_0_36,negated_conjecture,
iLess0(sbrdtbr0(esk43_1(esk40_1(esk43_1(esk37_0)))),sbrdtbr0(esk40_1(esk43_1(esk37_0)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_29]),c_0_30]) ).
cnf(c_0_37,negated_conjecture,
esk43_1(esk40_1(esk43_1(esk37_0))) != sz00,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_31]),c_0_32]),c_0_33])]),c_0_30]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : RNG111+4 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n031.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 02:24:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 169.59/169.75 % Version : CSE_E---1.5
% 169.59/169.75 % Problem : theBenchmark.p
% 169.59/169.75 % Proof found
% 169.59/169.75 % SZS status Theorem for theBenchmark.p
% 169.59/169.75 % SZS output start Proof
% See solution above
% 169.59/169.76 % Total time : 168.969000 s
% 169.59/169.76 % SZS output end Proof
% 169.59/169.76 % Total time : 168.982000 s
%------------------------------------------------------------------------------