TSTP Solution File: RNG092+2 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : RNG092+2 : 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 : n026.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 13:49:05 EDT 2023
% Result : Theorem 0.64s 0.76s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 39
% Syntax : Number of formulae : 58 ( 6 unt; 37 typ; 0 def)
% Number of atoms : 594 ( 114 equ)
% Maximal formula atoms : 477 ( 28 avg)
% Number of connectives : 984 ( 411 ~; 415 |; 142 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 100 ( 10 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 67 ( 30 >; 37 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 7 con; 0-4 aty)
% Number of variables : 69 ( 2 sgn; 29 !; 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,
xI: $i ).
tff(decl_34,type,
xJ: $i ).
tff(decl_35,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_36,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_37,type,
esk3_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
esk4_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_39,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
esk9_1: $i > $i ).
tff(decl_44,type,
esk10_1: $i > $i ).
tff(decl_45,type,
esk11_1: $i > $i ).
tff(decl_46,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_47,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk20_1: $i > $i ).
tff(decl_55,type,
esk21_1: $i > $i ).
tff(decl_56,type,
esk22_0: $i ).
tff(decl_57,type,
esk23_0: $i ).
tff(decl_58,type,
esk24_0: $i ).
fof(m__,conjecture,
( ! [X1,X2,X3] :
( ( ( ? [X4,X5] :
( aElementOf0(X4,xI)
& aElementOf0(X5,xJ)
& sdtpldt0(X4,X5) = X1 )
| aElementOf0(X1,sdtpldt1(xI,xJ)) )
& ( ? [X4,X5] :
( aElementOf0(X4,xI)
& aElementOf0(X5,xJ)
& sdtpldt0(X4,X5) = X2 )
| aElementOf0(X2,sdtpldt1(xI,xJ)) )
& aElement0(X3) )
=> ? [X4,X5] :
( aElementOf0(X4,xI)
& aElementOf0(X5,xJ)
& X1 = sdtpldt0(X4,X5)
& ? [X6,X7] :
( aElementOf0(X6,xI)
& aElementOf0(X7,xJ)
& X2 = sdtpldt0(X6,X7)
& aElementOf0(sdtpldt0(X4,X6),xI)
& aElementOf0(sdtpldt0(X5,X7),xJ)
& aElementOf0(sdtasdt0(X3,X4),xI)
& aElementOf0(sdtasdt0(X3,X5),xJ)
& sdtpldt0(X1,X2) = sdtpldt0(sdtpldt0(X4,X6),sdtpldt0(X5,X7))
& ? [X8,X9] :
( aElementOf0(X8,xI)
& aElementOf0(X9,xJ)
& sdtpldt0(X8,X9) = sdtpldt0(X1,X2) )
& aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
& ? [X8,X9] :
( aElementOf0(X8,xI)
& aElementOf0(X9,xJ)
& sdtpldt0(X8,X9) = sdtasdt0(X3,X1) )
& aElementOf0(sdtasdt0(X3,X1),sdtpldt1(xI,xJ)) ) ) )
=> ( ( aSet0(sdtpldt1(xI,xJ))
& ! [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
<=> ? [X2,X3] :
( aElementOf0(X2,xI)
& aElementOf0(X3,xJ)
& sdtpldt0(X2,X3) = X1 ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
=> ( ! [X2] :
( aElementOf0(X2,sdtpldt1(xI,xJ))
=> aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ)) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),sdtpldt1(xI,xJ)) ) ) )
| aIdeal0(sdtpldt1(xI,xJ)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(c_0_2,negated_conjecture,
~ ( ! [X1,X2,X3] :
( ( ( ? [X4,X5] :
( aElementOf0(X4,xI)
& aElementOf0(X5,xJ)
& sdtpldt0(X4,X5) = X1 )
| aElementOf0(X1,sdtpldt1(xI,xJ)) )
& ( ? [X4,X5] :
( aElementOf0(X4,xI)
& aElementOf0(X5,xJ)
& sdtpldt0(X4,X5) = X2 )
| aElementOf0(X2,sdtpldt1(xI,xJ)) )
& aElement0(X3) )
=> ? [X4,X5] :
( aElementOf0(X4,xI)
& aElementOf0(X5,xJ)
& X1 = sdtpldt0(X4,X5)
& ? [X6,X7] :
( aElementOf0(X6,xI)
& aElementOf0(X7,xJ)
& X2 = sdtpldt0(X6,X7)
& aElementOf0(sdtpldt0(X4,X6),xI)
& aElementOf0(sdtpldt0(X5,X7),xJ)
& aElementOf0(sdtasdt0(X3,X4),xI)
& aElementOf0(sdtasdt0(X3,X5),xJ)
& sdtpldt0(X1,X2) = sdtpldt0(sdtpldt0(X4,X6),sdtpldt0(X5,X7))
& ? [X8,X9] :
( aElementOf0(X8,xI)
& aElementOf0(X9,xJ)
& sdtpldt0(X8,X9) = sdtpldt0(X1,X2) )
& aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
& ? [X8,X9] :
( aElementOf0(X8,xI)
& aElementOf0(X9,xJ)
& sdtpldt0(X8,X9) = sdtasdt0(X3,X1) )
& aElementOf0(sdtasdt0(X3,X1),sdtpldt1(xI,xJ)) ) ) )
=> ( ( aSet0(sdtpldt1(xI,xJ))
& ! [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
<=> ? [X2,X3] :
( aElementOf0(X2,xI)
& aElementOf0(X3,xJ)
& sdtpldt0(X2,X3) = X1 ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
=> ( ! [X2] :
( aElementOf0(X2,sdtpldt1(xI,xJ))
=> aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ)) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),sdtpldt1(xI,xJ)) ) ) )
| aIdeal0(sdtpldt1(xI,xJ)) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_3,plain,
! [X35,X36] :
( ~ aSet0(X35)
| ~ aElementOf0(X36,X35)
| aElement0(X36) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
fof(c_0_4,negated_conjecture,
! [X77,X78,X79,X80,X81,X82,X83,X92,X95,X96,X97] :
( ( aElementOf0(esk12_3(X77,X78,X79),xI)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(esk13_3(X77,X78,X79),xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( X77 = sdtpldt0(esk12_3(X77,X78,X79),esk13_3(X77,X78,X79))
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(esk14_3(X77,X78,X79),xI)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(esk15_3(X77,X78,X79),xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( X78 = sdtpldt0(esk14_3(X77,X78,X79),esk15_3(X77,X78,X79))
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(sdtpldt0(esk12_3(X77,X78,X79),esk14_3(X77,X78,X79)),xI)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(sdtpldt0(esk13_3(X77,X78,X79),esk15_3(X77,X78,X79)),xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(sdtasdt0(X79,esk12_3(X77,X78,X79)),xI)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(sdtasdt0(X79,esk13_3(X77,X78,X79)),xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( sdtpldt0(X77,X78) = sdtpldt0(sdtpldt0(esk12_3(X77,X78,X79),esk14_3(X77,X78,X79)),sdtpldt0(esk13_3(X77,X78,X79),esk15_3(X77,X78,X79)))
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(esk16_3(X77,X78,X79),xI)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(esk17_3(X77,X78,X79),xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( sdtpldt0(esk16_3(X77,X78,X79),esk17_3(X77,X78,X79)) = sdtpldt0(X77,X78)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(sdtpldt0(X77,X78),sdtpldt1(xI,xJ))
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(esk18_3(X77,X78,X79),xI)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(esk19_3(X77,X78,X79),xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( sdtpldt0(esk18_3(X77,X78,X79),esk19_3(X77,X78,X79)) = sdtasdt0(X79,X77)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(sdtasdt0(X79,X77),sdtpldt1(xI,xJ))
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(esk12_3(X77,X78,X79),xI)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(esk13_3(X77,X78,X79),xJ)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( X77 = sdtpldt0(esk12_3(X77,X78,X79),esk13_3(X77,X78,X79))
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(esk14_3(X77,X78,X79),xI)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(esk15_3(X77,X78,X79),xJ)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( X78 = sdtpldt0(esk14_3(X77,X78,X79),esk15_3(X77,X78,X79))
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(sdtpldt0(esk12_3(X77,X78,X79),esk14_3(X77,X78,X79)),xI)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(sdtpldt0(esk13_3(X77,X78,X79),esk15_3(X77,X78,X79)),xJ)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(sdtasdt0(X79,esk12_3(X77,X78,X79)),xI)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(sdtasdt0(X79,esk13_3(X77,X78,X79)),xJ)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( sdtpldt0(X77,X78) = sdtpldt0(sdtpldt0(esk12_3(X77,X78,X79),esk14_3(X77,X78,X79)),sdtpldt0(esk13_3(X77,X78,X79),esk15_3(X77,X78,X79)))
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(esk16_3(X77,X78,X79),xI)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(esk17_3(X77,X78,X79),xJ)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( sdtpldt0(esk16_3(X77,X78,X79),esk17_3(X77,X78,X79)) = sdtpldt0(X77,X78)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(sdtpldt0(X77,X78),sdtpldt1(xI,xJ))
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(esk18_3(X77,X78,X79),xI)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(esk19_3(X77,X78,X79),xJ)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( sdtpldt0(esk18_3(X77,X78,X79),esk19_3(X77,X78,X79)) = sdtasdt0(X79,X77)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(sdtasdt0(X79,X77),sdtpldt1(xI,xJ))
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,xI)
| ~ aElementOf0(X81,xJ)
| sdtpldt0(X80,X81) != X77
| ~ aElement0(X79) )
& ( aElementOf0(esk12_3(X77,X78,X79),xI)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(esk13_3(X77,X78,X79),xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( X77 = sdtpldt0(esk12_3(X77,X78,X79),esk13_3(X77,X78,X79))
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(esk14_3(X77,X78,X79),xI)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(esk15_3(X77,X78,X79),xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( X78 = sdtpldt0(esk14_3(X77,X78,X79),esk15_3(X77,X78,X79))
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(sdtpldt0(esk12_3(X77,X78,X79),esk14_3(X77,X78,X79)),xI)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(sdtpldt0(esk13_3(X77,X78,X79),esk15_3(X77,X78,X79)),xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(sdtasdt0(X79,esk12_3(X77,X78,X79)),xI)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(sdtasdt0(X79,esk13_3(X77,X78,X79)),xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( sdtpldt0(X77,X78) = sdtpldt0(sdtpldt0(esk12_3(X77,X78,X79),esk14_3(X77,X78,X79)),sdtpldt0(esk13_3(X77,X78,X79),esk15_3(X77,X78,X79)))
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(esk16_3(X77,X78,X79),xI)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(esk17_3(X77,X78,X79),xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( sdtpldt0(esk16_3(X77,X78,X79),esk17_3(X77,X78,X79)) = sdtpldt0(X77,X78)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(sdtpldt0(X77,X78),sdtpldt1(xI,xJ))
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(esk18_3(X77,X78,X79),xI)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(esk19_3(X77,X78,X79),xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( sdtpldt0(esk18_3(X77,X78,X79),esk19_3(X77,X78,X79)) = sdtasdt0(X79,X77)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(sdtasdt0(X79,X77),sdtpldt1(xI,xJ))
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X83,xJ)
| sdtpldt0(X82,X83) != X78
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(esk12_3(X77,X78,X79),xI)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(esk13_3(X77,X78,X79),xJ)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( X77 = sdtpldt0(esk12_3(X77,X78,X79),esk13_3(X77,X78,X79))
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(esk14_3(X77,X78,X79),xI)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(esk15_3(X77,X78,X79),xJ)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( X78 = sdtpldt0(esk14_3(X77,X78,X79),esk15_3(X77,X78,X79))
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(sdtpldt0(esk12_3(X77,X78,X79),esk14_3(X77,X78,X79)),xI)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(sdtpldt0(esk13_3(X77,X78,X79),esk15_3(X77,X78,X79)),xJ)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(sdtasdt0(X79,esk12_3(X77,X78,X79)),xI)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(sdtasdt0(X79,esk13_3(X77,X78,X79)),xJ)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( sdtpldt0(X77,X78) = sdtpldt0(sdtpldt0(esk12_3(X77,X78,X79),esk14_3(X77,X78,X79)),sdtpldt0(esk13_3(X77,X78,X79),esk15_3(X77,X78,X79)))
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(esk16_3(X77,X78,X79),xI)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(esk17_3(X77,X78,X79),xJ)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( sdtpldt0(esk16_3(X77,X78,X79),esk17_3(X77,X78,X79)) = sdtpldt0(X77,X78)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(sdtpldt0(X77,X78),sdtpldt1(xI,xJ))
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(esk18_3(X77,X78,X79),xI)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(esk19_3(X77,X78,X79),xJ)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( sdtpldt0(esk18_3(X77,X78,X79),esk19_3(X77,X78,X79)) = sdtasdt0(X79,X77)
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& ( aElementOf0(sdtasdt0(X79,X77),sdtpldt1(xI,xJ))
| ~ aElementOf0(X78,sdtpldt1(xI,xJ))
| ~ aElementOf0(X77,sdtpldt1(xI,xJ))
| ~ aElement0(X79) )
& aSet0(sdtpldt1(xI,xJ))
& ( aElementOf0(esk20_1(X92),xI)
| ~ aElementOf0(X92,sdtpldt1(xI,xJ)) )
& ( aElementOf0(esk21_1(X92),xJ)
| ~ aElementOf0(X92,sdtpldt1(xI,xJ)) )
& ( sdtpldt0(esk20_1(X92),esk21_1(X92)) = X92
| ~ aElementOf0(X92,sdtpldt1(xI,xJ)) )
& ( ~ aElementOf0(X96,xI)
| ~ aElementOf0(X97,xJ)
| sdtpldt0(X96,X97) != X95
| aElementOf0(X95,sdtpldt1(xI,xJ)) )
& aElementOf0(esk22_0,sdtpldt1(xI,xJ))
& ( aElement0(esk24_0)
| aElementOf0(esk23_0,sdtpldt1(xI,xJ)) )
& ( ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ))
| aElementOf0(esk23_0,sdtpldt1(xI,xJ)) )
& ( aElement0(esk24_0)
| ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ)) )
& ( ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ)) )
& ~ aIdeal0(sdtpldt1(xI,xJ)) ),
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])])])])])]) ).
cnf(c_0_5,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( aElement0(esk24_0)
| aElementOf0(esk23_0,sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
aSet0(sdtpldt1(xI,xJ)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
( aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
( aElement0(esk24_0)
| aElement0(esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]) ).
cnf(c_0_10,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElementOf0(X3,sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,negated_conjecture,
aElementOf0(esk22_0,sdtpldt1(xI,xJ)),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( aElement0(esk24_0)
| ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
( aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_8]) ).
cnf(c_0_14,negated_conjecture,
( ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,negated_conjecture,
aElement0(esk24_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_11])]),c_0_6]) ).
cnf(c_0_17,negated_conjecture,
( aElementOf0(esk23_0,sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,negated_conjecture,
~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_11]),c_0_16])]) ).
cnf(c_0_19,negated_conjecture,
aElementOf0(esk23_0,sdtpldt1(xI,xJ)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_11]),c_0_16])]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_13]),c_0_19]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG092+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n026.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sun Aug 27 03:15:34 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.17/0.55 start to proof: theBenchmark
% 0.64/0.76 % Version : CSE_E---1.5
% 0.64/0.76 % Problem : theBenchmark.p
% 0.64/0.76 % Proof found
% 0.64/0.76 % SZS status Theorem for theBenchmark.p
% 0.64/0.76 % SZS output start Proof
% See solution above
% 0.64/0.77 % Total time : 0.201000 s
% 0.64/0.77 % SZS output end Proof
% 0.64/0.77 % Total time : 0.205000 s
%------------------------------------------------------------------------------