TSTP Solution File: RNG106+2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : RNG106+2 : 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 : n027.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 13:49:12 EDT 2023
% Result : Theorem 0.19s 0.65s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 51
% Syntax : Number of formulae : 72 ( 7 unt; 49 typ; 0 def)
% Number of atoms : 363 ( 93 equ)
% Maximal formula atoms : 258 ( 15 avg)
% Number of connectives : 568 ( 228 ~; 231 |; 93 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 93 ( 43 >; 50 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 38 ( 38 usr; 6 con; 0-4 aty)
% Number of variables : 59 ( 4 sgn; 26 !; 14 ?; 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,
xc: $i ).
tff(decl_43,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_44,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_45,type,
esk3_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_46,type,
esk4_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk9_1: $i > $i ).
tff(decl_52,type,
esk10_1: $i > $i ).
tff(decl_53,type,
esk11_1: $i > $i ).
tff(decl_54,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk13_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_56,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_57,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_64,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
esk25_1: $i > $i ).
tff(decl_68,type,
esk26_0: $i ).
tff(decl_69,type,
esk27_0: $i ).
tff(decl_70,type,
esk28_0: $i ).
fof(m__,conjecture,
( ! [X1,X2,X3] :
( ( ( ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1 )
| aElementOf0(X1,slsdtgt0(xc)) )
& ( ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X2 )
| aElementOf0(X2,slsdtgt0(xc)) )
& aElement0(X3) )
=> ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1
& ? [X5] :
( aElement0(X5)
& sdtasdt0(xc,X5) = X2
& sdtpldt0(X1,X2) = sdtasdt0(xc,sdtpldt0(X4,X5))
& sdtasdt0(X3,X1) = sdtasdt0(xc,sdtasdt0(X4,X3))
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = sdtpldt0(X1,X2) )
& aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = sdtasdt0(X3,X1) )
& aElementOf0(sdtasdt0(X3,X1),slsdtgt0(xc)) ) ) )
=> ( ( aSet0(slsdtgt0(xc))
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xc,X2) = X1 ) ) )
=> ( ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
=> ( ! [X2] :
( aElementOf0(X2,slsdtgt0(xc))
=> aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc)) ) ) )
| aIdeal0(slsdtgt0(xc)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(c_0_2,negated_conjecture,
~ ( ! [X1,X2,X3] :
( ( ( ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1 )
| aElementOf0(X1,slsdtgt0(xc)) )
& ( ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X2 )
| aElementOf0(X2,slsdtgt0(xc)) )
& aElement0(X3) )
=> ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1
& ? [X5] :
( aElement0(X5)
& sdtasdt0(xc,X5) = X2
& sdtpldt0(X1,X2) = sdtasdt0(xc,sdtpldt0(X4,X5))
& sdtasdt0(X3,X1) = sdtasdt0(xc,sdtasdt0(X4,X3))
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = sdtpldt0(X1,X2) )
& aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = sdtasdt0(X3,X1) )
& aElementOf0(sdtasdt0(X3,X1),slsdtgt0(xc)) ) ) )
=> ( ( aSet0(slsdtgt0(xc))
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xc,X2) = X1 ) ) )
=> ( ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
=> ( ! [X2] :
( aElementOf0(X2,slsdtgt0(xc))
=> aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc)) ) ) )
| aIdeal0(slsdtgt0(xc)) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_3,negated_conjecture,
! [X110,X111,X112,X113,X114,X119,X121,X122] :
( ( aElement0(esk21_3(X110,X111,X112))
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( sdtasdt0(xc,esk21_3(X110,X111,X112)) = X110
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( aElement0(esk22_3(X110,X111,X112))
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( sdtasdt0(xc,esk22_3(X110,X111,X112)) = X111
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( sdtpldt0(X110,X111) = sdtasdt0(xc,sdtpldt0(esk21_3(X110,X111,X112),esk22_3(X110,X111,X112)))
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( sdtasdt0(X112,X110) = sdtasdt0(xc,sdtasdt0(esk21_3(X110,X111,X112),X112))
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( aElement0(esk23_3(X110,X111,X112))
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( sdtasdt0(xc,esk23_3(X110,X111,X112)) = sdtpldt0(X110,X111)
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( aElementOf0(sdtpldt0(X110,X111),slsdtgt0(xc))
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( aElement0(esk24_3(X110,X111,X112))
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( sdtasdt0(xc,esk24_3(X110,X111,X112)) = sdtasdt0(X112,X110)
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( aElementOf0(sdtasdt0(X112,X110),slsdtgt0(xc))
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( aElement0(esk21_3(X110,X111,X112))
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( sdtasdt0(xc,esk21_3(X110,X111,X112)) = X110
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( aElement0(esk22_3(X110,X111,X112))
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( sdtasdt0(xc,esk22_3(X110,X111,X112)) = X111
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( sdtpldt0(X110,X111) = sdtasdt0(xc,sdtpldt0(esk21_3(X110,X111,X112),esk22_3(X110,X111,X112)))
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( sdtasdt0(X112,X110) = sdtasdt0(xc,sdtasdt0(esk21_3(X110,X111,X112),X112))
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( aElement0(esk23_3(X110,X111,X112))
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( sdtasdt0(xc,esk23_3(X110,X111,X112)) = sdtpldt0(X110,X111)
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( aElementOf0(sdtpldt0(X110,X111),slsdtgt0(xc))
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( aElement0(esk24_3(X110,X111,X112))
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( sdtasdt0(xc,esk24_3(X110,X111,X112)) = sdtasdt0(X112,X110)
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( aElementOf0(sdtasdt0(X112,X110),slsdtgt0(xc))
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElement0(X113)
| sdtasdt0(xc,X113) != X110
| ~ aElement0(X112) )
& ( aElement0(esk21_3(X110,X111,X112))
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( sdtasdt0(xc,esk21_3(X110,X111,X112)) = X110
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( aElement0(esk22_3(X110,X111,X112))
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( sdtasdt0(xc,esk22_3(X110,X111,X112)) = X111
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( sdtpldt0(X110,X111) = sdtasdt0(xc,sdtpldt0(esk21_3(X110,X111,X112),esk22_3(X110,X111,X112)))
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( sdtasdt0(X112,X110) = sdtasdt0(xc,sdtasdt0(esk21_3(X110,X111,X112),X112))
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( aElement0(esk23_3(X110,X111,X112))
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( sdtasdt0(xc,esk23_3(X110,X111,X112)) = sdtpldt0(X110,X111)
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( aElementOf0(sdtpldt0(X110,X111),slsdtgt0(xc))
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( aElement0(esk24_3(X110,X111,X112))
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( sdtasdt0(xc,esk24_3(X110,X111,X112)) = sdtasdt0(X112,X110)
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( aElementOf0(sdtasdt0(X112,X110),slsdtgt0(xc))
| ~ aElement0(X114)
| sdtasdt0(xc,X114) != X111
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( aElement0(esk21_3(X110,X111,X112))
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( sdtasdt0(xc,esk21_3(X110,X111,X112)) = X110
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( aElement0(esk22_3(X110,X111,X112))
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( sdtasdt0(xc,esk22_3(X110,X111,X112)) = X111
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( sdtpldt0(X110,X111) = sdtasdt0(xc,sdtpldt0(esk21_3(X110,X111,X112),esk22_3(X110,X111,X112)))
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( sdtasdt0(X112,X110) = sdtasdt0(xc,sdtasdt0(esk21_3(X110,X111,X112),X112))
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( aElement0(esk23_3(X110,X111,X112))
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( sdtasdt0(xc,esk23_3(X110,X111,X112)) = sdtpldt0(X110,X111)
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( aElementOf0(sdtpldt0(X110,X111),slsdtgt0(xc))
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( aElement0(esk24_3(X110,X111,X112))
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( sdtasdt0(xc,esk24_3(X110,X111,X112)) = sdtasdt0(X112,X110)
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& ( aElementOf0(sdtasdt0(X112,X110),slsdtgt0(xc))
| ~ aElementOf0(X111,slsdtgt0(xc))
| ~ aElementOf0(X110,slsdtgt0(xc))
| ~ aElement0(X112) )
& aSet0(slsdtgt0(xc))
& ( aElement0(esk25_1(X119))
| ~ aElementOf0(X119,slsdtgt0(xc)) )
& ( sdtasdt0(xc,esk25_1(X119)) = X119
| ~ aElementOf0(X119,slsdtgt0(xc)) )
& ( ~ aElement0(X122)
| sdtasdt0(xc,X122) != X121
| aElementOf0(X121,slsdtgt0(xc)) )
& aElementOf0(esk26_0,slsdtgt0(xc))
& ( aElement0(esk28_0)
| aElementOf0(esk27_0,slsdtgt0(xc)) )
& ( ~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc))
| aElementOf0(esk27_0,slsdtgt0(xc)) )
& ( aElement0(esk28_0)
| ~ aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc)) )
& ( ~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc)) )
& ~ aIdeal0(slsdtgt0(xc)) ),
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_2])])])])])]) ).
fof(c_0_4,plain,
! [X32,X33] :
( ~ aSet0(X32)
| ~ aElementOf0(X33,X32)
| aElement0(X33) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
cnf(c_0_5,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))
| ~ aElement0(X3)
| sdtasdt0(xc,X3) != X4
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
aElementOf0(esk26_0,slsdtgt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_8,negated_conjecture,
aSet0(slsdtgt0(xc)),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_9,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X3,slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,negated_conjecture,
( aElement0(esk28_0)
| aElementOf0(esk27_0,slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_11,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElement0(X3)
| ~ aElement0(X1) ),
inference(er,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
( aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_13,negated_conjecture,
aElement0(esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).
cnf(c_0_14,negated_conjecture,
( aElementOf0(esk27_0,slsdtgt0(xc))
| ~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_15,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_16,negated_conjecture,
( ~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_17,negated_conjecture,
( aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc)) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
aElementOf0(esk27_0,slsdtgt0(xc)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_7])]),c_0_10]) ).
cnf(c_0_19,negated_conjecture,
( aElement0(esk28_0)
| ~ aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_20,negated_conjecture,
~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc)),
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_7])]) ).
cnf(c_0_21,negated_conjecture,
aElement0(esk28_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_17]),c_0_18]),c_0_7])]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_15]),c_0_7]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG106+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 02:06:35 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.54 start to proof: theBenchmark
% 0.19/0.65 % Version : CSE_E---1.5
% 0.19/0.65 % Problem : theBenchmark.p
% 0.19/0.65 % Proof found
% 0.19/0.65 % SZS status Theorem for theBenchmark.p
% 0.19/0.65 % SZS output start Proof
% See solution above
% 0.19/0.65 % Total time : 0.096000 s
% 0.19/0.65 % SZS output end Proof
% 0.19/0.65 % Total time : 0.100000 s
%------------------------------------------------------------------------------