%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : RNG092+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:05:49 PM UTC 2026
% Result : Theorem 0.13s 0.72s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 8 unt; 0 def)
% Number of atoms : 641 ( 114 equ)
% Maximal formula atoms : 477 ( 22 avg)
% Number of connectives : 1044 ( 431 ~; 442 |; 151 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 100 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 5 con; 0-3 aty)
% Number of variables : 81 ( 4 sgn 38 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ! [X1,X2,X3] :
( ( aElement0(X3)
& ( aElementOf0(X2,sdtpldt1(xI,xJ))
| ? [X4,X5] :
( sdtpldt0(X4,X5) = X2
& aElementOf0(X5,xJ)
& aElementOf0(X4,xI) ) )
& ( aElementOf0(X1,sdtpldt1(xI,xJ))
| ? [X4,X5] :
( sdtpldt0(X4,X5) = X1
& aElementOf0(X5,xJ)
& aElementOf0(X4,xI) ) ) )
=> ? [X4,X5] :
( ? [X6,X7] :
( aElementOf0(sdtasdt0(X3,X1),sdtpldt1(xI,xJ))
& ? [X8,X9] :
( sdtpldt0(X8,X9) = sdtasdt0(X3,X1)
& aElementOf0(X9,xJ)
& aElementOf0(X8,xI) )
& aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
& ? [X8,X9] :
( sdtpldt0(X8,X9) = sdtpldt0(X1,X2)
& aElementOf0(X9,xJ)
& aElementOf0(X8,xI) )
& sdtpldt0(X1,X2) = sdtpldt0(sdtpldt0(X4,X6),sdtpldt0(X5,X7))
& aElementOf0(sdtasdt0(X3,X5),xJ)
& aElementOf0(sdtasdt0(X3,X4),xI)
& aElementOf0(sdtpldt0(X5,X7),xJ)
& aElementOf0(sdtpldt0(X4,X6),xI)
& X2 = sdtpldt0(X6,X7)
& aElementOf0(X7,xJ)
& aElementOf0(X6,xI) )
& X1 = sdtpldt0(X4,X5)
& aElementOf0(X5,xJ)
& aElementOf0(X4,xI) ) )
=> ( ( ! [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
<=> ? [X2,X3] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X3,xJ)
& aElementOf0(X2,xI) ) )
& aSet0(sdtpldt1(xI,xJ)) )
=> ( aIdeal0(sdtpldt1(xI,xJ))
| ! [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),sdtpldt1(xI,xJ)) )
& ! [X2] :
( aElementOf0(X2,sdtpldt1(xI,xJ))
=> aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(mDefIdeal,axiom,
! [X1] :
( aIdeal0(X1)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> ( ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X2),X1) )
& ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(sdtpldt0(X2,X3),X1) ) ) )
& aSet0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(c_0_3,negated_conjecture,
~ ( ! [X1,X2,X3] :
( ( aElement0(X3)
& ( aElementOf0(X2,sdtpldt1(xI,xJ))
| ? [X4,X5] :
( sdtpldt0(X4,X5) = X2
& aElementOf0(X5,xJ)
& aElementOf0(X4,xI) ) )
& ( aElementOf0(X1,sdtpldt1(xI,xJ))
| ? [X4,X5] :
( sdtpldt0(X4,X5) = X1
& aElementOf0(X5,xJ)
& aElementOf0(X4,xI) ) ) )
=> ? [X4,X5] :
( ? [X6,X7] :
( aElementOf0(sdtasdt0(X3,X1),sdtpldt1(xI,xJ))
& ? [X8,X9] :
( sdtpldt0(X8,X9) = sdtasdt0(X3,X1)
& aElementOf0(X9,xJ)
& aElementOf0(X8,xI) )
& aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
& ? [X8,X9] :
( sdtpldt0(X8,X9) = sdtpldt0(X1,X2)
& aElementOf0(X9,xJ)
& aElementOf0(X8,xI) )
& sdtpldt0(X1,X2) = sdtpldt0(sdtpldt0(X4,X6),sdtpldt0(X5,X7))
& aElementOf0(sdtasdt0(X3,X5),xJ)
& aElementOf0(sdtasdt0(X3,X4),xI)
& aElementOf0(sdtpldt0(X5,X7),xJ)
& aElementOf0(sdtpldt0(X4,X6),xI)
& X2 = sdtpldt0(X6,X7)
& aElementOf0(X7,xJ)
& aElementOf0(X6,xI) )
& X1 = sdtpldt0(X4,X5)
& aElementOf0(X5,xJ)
& aElementOf0(X4,xI) ) )
=> ( ( ! [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
<=> ? [X2,X3] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X3,xJ)
& aElementOf0(X2,xI) ) )
& aSet0(sdtpldt1(xI,xJ)) )
=> ( aIdeal0(sdtpldt1(xI,xJ))
| ! [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),sdtpldt1(xI,xJ)) )
& ! [X2] :
( aElementOf0(X2,sdtpldt1(xI,xJ))
=> aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ)) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_4,plain,
! [X65,X66,X67,X68,X69] :
( ( aIdeal0(X69)
| ~ aSet0(X69)
| ~ aElementOf0(sdtpldt0(esk9_1(X69),esk10_1(X69)),X69)
| ~ aElementOf0(sdtasdt0(esk11_1(X69),esk9_1(X69)),X69) )
& ( aIdeal0(X69)
| ~ aSet0(X69)
| ~ aElementOf0(sdtpldt0(esk9_1(X69),esk10_1(X69)),X69)
| aElement0(esk11_1(X69)) )
& ( aIdeal0(X69)
| ~ aSet0(X69)
| aElementOf0(esk10_1(X69),X69)
| ~ aElementOf0(sdtasdt0(esk11_1(X69),esk9_1(X69)),X69) )
& ( aIdeal0(X69)
| ~ aSet0(X69)
| aElementOf0(esk10_1(X69),X69)
| aElement0(esk11_1(X69)) )
& ( aIdeal0(X69)
| ~ aSet0(X69)
| aElementOf0(esk9_1(X69),X69) )
& ( ~ aIdeal0(X65)
| ~ aElementOf0(X66,X65)
| aElementOf0(sdtasdt0(X68,X66),X65)
| ~ aElement0(X68) )
& ( ~ aIdeal0(X65)
| ~ aElementOf0(X66,X65)
| aElementOf0(sdtpldt0(X66,X67),X65)
| ~ aElementOf0(X67,X65) )
& ( ~ aIdeal0(X65)
| aSet0(X65) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[mDefIdeal])])])])])])]) ).
fof(c_0_5,negated_conjecture,
! [X79,X80,X81,X82,X83,X84,X85,X94,X97,X98,X99] :
( ~ aIdeal0(sdtpldt1(xI,xJ))
& ( ~ 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))
| 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(esk22_0,sdtpldt1(xI,xJ))
& ( aElementOf0(X97,sdtpldt1(xI,xJ))
| sdtpldt0(X98,X99) != X97
| ~ aElementOf0(X99,xJ)
| ~ aElementOf0(X98,xI) )
& ( ~ aElementOf0(X94,sdtpldt1(xI,xJ))
| sdtpldt0(esk20_1(X94),esk21_1(X94)) = X94 )
& ( ~ aElementOf0(X94,sdtpldt1(xI,xJ))
| aElementOf0(esk21_1(X94),xJ) )
& ( ~ aElementOf0(X94,sdtpldt1(xI,xJ))
| aElementOf0(esk20_1(X94),xI) )
& aSet0(sdtpldt1(xI,xJ))
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(sdtasdt0(X81,X79),sdtpldt1(xI,xJ)) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| sdtpldt0(esk18_3(X79,X80,X81),esk19_3(X79,X80,X81)) = sdtasdt0(X81,X79) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(esk19_3(X79,X80,X81),xJ) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(esk18_3(X79,X80,X81),xI) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(sdtpldt0(X79,X80),sdtpldt1(xI,xJ)) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| sdtpldt0(esk16_3(X79,X80,X81),esk17_3(X79,X80,X81)) = sdtpldt0(X79,X80) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(esk17_3(X79,X80,X81),xJ) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(esk16_3(X79,X80,X81),xI) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| sdtpldt0(X79,X80) = sdtpldt0(sdtpldt0(esk12_3(X79,X80,X81),esk14_3(X79,X80,X81)),sdtpldt0(esk13_3(X79,X80,X81),esk15_3(X79,X80,X81))) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(sdtasdt0(X81,esk13_3(X79,X80,X81)),xJ) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(sdtasdt0(X81,esk12_3(X79,X80,X81)),xI) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(sdtpldt0(esk13_3(X79,X80,X81),esk15_3(X79,X80,X81)),xJ) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(sdtpldt0(esk12_3(X79,X80,X81),esk14_3(X79,X80,X81)),xI) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| X80 = sdtpldt0(esk14_3(X79,X80,X81),esk15_3(X79,X80,X81)) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(esk15_3(X79,X80,X81),xJ) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(esk14_3(X79,X80,X81),xI) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| X79 = sdtpldt0(esk12_3(X79,X80,X81),esk13_3(X79,X80,X81)) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(esk13_3(X79,X80,X81),xJ) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(esk12_3(X79,X80,X81),xI) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(sdtasdt0(X81,X79),sdtpldt1(xI,xJ)) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| sdtpldt0(esk18_3(X79,X80,X81),esk19_3(X79,X80,X81)) = sdtasdt0(X81,X79) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(esk19_3(X79,X80,X81),xJ) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(esk18_3(X79,X80,X81),xI) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(sdtpldt0(X79,X80),sdtpldt1(xI,xJ)) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| sdtpldt0(esk16_3(X79,X80,X81),esk17_3(X79,X80,X81)) = sdtpldt0(X79,X80) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(esk17_3(X79,X80,X81),xJ) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(esk16_3(X79,X80,X81),xI) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| sdtpldt0(X79,X80) = sdtpldt0(sdtpldt0(esk12_3(X79,X80,X81),esk14_3(X79,X80,X81)),sdtpldt0(esk13_3(X79,X80,X81),esk15_3(X79,X80,X81))) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(sdtasdt0(X81,esk13_3(X79,X80,X81)),xJ) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(sdtasdt0(X81,esk12_3(X79,X80,X81)),xI) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(sdtpldt0(esk13_3(X79,X80,X81),esk15_3(X79,X80,X81)),xJ) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(sdtpldt0(esk12_3(X79,X80,X81),esk14_3(X79,X80,X81)),xI) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| X80 = sdtpldt0(esk14_3(X79,X80,X81),esk15_3(X79,X80,X81)) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(esk15_3(X79,X80,X81),xJ) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(esk14_3(X79,X80,X81),xI) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| X79 = sdtpldt0(esk12_3(X79,X80,X81),esk13_3(X79,X80,X81)) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(esk13_3(X79,X80,X81),xJ) )
& ( ~ aElement0(X81)
| ~ aElementOf0(X79,sdtpldt1(xI,xJ))
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(esk12_3(X79,X80,X81),xI) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(sdtasdt0(X81,X79),sdtpldt1(xI,xJ)) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| sdtpldt0(esk18_3(X79,X80,X81),esk19_3(X79,X80,X81)) = sdtasdt0(X81,X79) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(esk19_3(X79,X80,X81),xJ) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(esk18_3(X79,X80,X81),xI) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(sdtpldt0(X79,X80),sdtpldt1(xI,xJ)) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| sdtpldt0(esk16_3(X79,X80,X81),esk17_3(X79,X80,X81)) = sdtpldt0(X79,X80) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(esk17_3(X79,X80,X81),xJ) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(esk16_3(X79,X80,X81),xI) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| sdtpldt0(X79,X80) = sdtpldt0(sdtpldt0(esk12_3(X79,X80,X81),esk14_3(X79,X80,X81)),sdtpldt0(esk13_3(X79,X80,X81),esk15_3(X79,X80,X81))) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(sdtasdt0(X81,esk13_3(X79,X80,X81)),xJ) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(sdtasdt0(X81,esk12_3(X79,X80,X81)),xI) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(sdtpldt0(esk13_3(X79,X80,X81),esk15_3(X79,X80,X81)),xJ) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(sdtpldt0(esk12_3(X79,X80,X81),esk14_3(X79,X80,X81)),xI) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| X80 = sdtpldt0(esk14_3(X79,X80,X81),esk15_3(X79,X80,X81)) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(esk15_3(X79,X80,X81),xJ) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(esk14_3(X79,X80,X81),xI) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| X79 = sdtpldt0(esk12_3(X79,X80,X81),esk13_3(X79,X80,X81)) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(esk13_3(X79,X80,X81),xJ) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| ~ aElementOf0(X80,sdtpldt1(xI,xJ))
| aElementOf0(esk12_3(X79,X80,X81),xI) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(sdtasdt0(X81,X79),sdtpldt1(xI,xJ)) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| sdtpldt0(esk18_3(X79,X80,X81),esk19_3(X79,X80,X81)) = sdtasdt0(X81,X79) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(esk19_3(X79,X80,X81),xJ) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(esk18_3(X79,X80,X81),xI) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(sdtpldt0(X79,X80),sdtpldt1(xI,xJ)) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| sdtpldt0(esk16_3(X79,X80,X81),esk17_3(X79,X80,X81)) = sdtpldt0(X79,X80) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(esk17_3(X79,X80,X81),xJ) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(esk16_3(X79,X80,X81),xI) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| sdtpldt0(X79,X80) = sdtpldt0(sdtpldt0(esk12_3(X79,X80,X81),esk14_3(X79,X80,X81)),sdtpldt0(esk13_3(X79,X80,X81),esk15_3(X79,X80,X81))) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(sdtasdt0(X81,esk13_3(X79,X80,X81)),xJ) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(sdtasdt0(X81,esk12_3(X79,X80,X81)),xI) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(sdtpldt0(esk13_3(X79,X80,X81),esk15_3(X79,X80,X81)),xJ) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(sdtpldt0(esk12_3(X79,X80,X81),esk14_3(X79,X80,X81)),xI) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| X80 = sdtpldt0(esk14_3(X79,X80,X81),esk15_3(X79,X80,X81)) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(esk15_3(X79,X80,X81),xJ) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(esk14_3(X79,X80,X81),xI) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| X79 = sdtpldt0(esk12_3(X79,X80,X81),esk13_3(X79,X80,X81)) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(esk13_3(X79,X80,X81),xJ) )
& ( ~ aElement0(X81)
| sdtpldt0(X82,X83) != X79
| ~ aElementOf0(X83,xJ)
| ~ aElementOf0(X82,xI)
| sdtpldt0(X84,X85) != X80
| ~ aElementOf0(X85,xJ)
| ~ aElementOf0(X84,xI)
| aElementOf0(esk12_3(X79,X80,X81),xI) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_3])])])])])])]) ).
cnf(c_0_6,plain,
( ~ aSet0(X1)
| aIdeal0(X1)
| aElementOf0(esk9_1(X1),X1) ),
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_5]) ).
cnf(c_0_8,negated_conjecture,
~ aIdeal0(sdtpldt1(xI,xJ)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
( ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X3,sdtpldt1(xI,xJ))
| aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
aElementOf0(esk9_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ))
| aElementOf0(esk23_0,sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
( ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
aElementOf0(esk22_0,sdtpldt1(xI,xJ)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
( aElementOf0(esk23_0,sdtpldt1(xI,xJ))
| aElement0(esk24_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_15,plain,
! [X37,X38] :
( aElement0(X38)
| ~ aElementOf0(X38,X37)
| ~ aSet0(X37) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])]) ).
cnf(c_0_16,plain,
( ~ aSet0(X1)
| aIdeal0(X1)
| aElementOf0(esk10_1(X1),X1)
| aElement0(esk11_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,negated_conjecture,
( ~ aElement0(X3)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_18,negated_conjecture,
aElementOf0(esk23_0,sdtpldt1(xI,xJ)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtasdt0(esk24_0,esk22_0),sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,negated_conjecture,
( ~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ))
| aElement0(esk24_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,plain,
( ~ aElementOf0(X2,X1)
| ~ aSet0(X1)
| aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
( aElement0(esk11_1(sdtpldt1(xI,xJ)))
| aElementOf0(esk10_1(sdtpldt1(xI,xJ)),sdtpldt1(xI,xJ)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_7]),c_0_8]) ).
cnf(c_0_23,negated_conjecture,
( ~ aElement0(X2)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| aElementOf0(sdtpldt0(X1,esk23_0),sdtpldt1(xI,xJ)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
~ aElementOf0(sdtpldt0(esk22_0,esk23_0),sdtpldt1(xI,xJ)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_12]),c_0_13])]),c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( aElement0(esk10_1(sdtpldt1(xI,xJ)))
| aElement0(esk11_1(sdtpldt1(xI,xJ))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_7])]) ).
cnf(c_0_26,negated_conjecture,
~ aElement0(X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_13]),c_0_24]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_25,c_0_26]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG092+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.57 % Computer : n008.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 04:19:42 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.57 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.61 Running first-order theorem proving
% 0.10/0.61 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.72 % Version: 3.5.1
% 0.13/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.72 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.72 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.72 % Starting sh5l with 300s (1) cores
% 0.13/0.72 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 124768 completed with status 0
% 0.13/0.72 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.13/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.72 % No SInE strategy applied
% 0.13/0.72 % Search class: FGHSF-FSLM32-MFFFFFNN
% 0.13/0.72 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.72 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.13/0.72 % Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 0.13/0.72 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 0.13/0.72 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 0.13/0.72 % G-E--_208_C18_F1_SE_CS_SP_PS_S0U with pid 124779 completed with status 0
% 0.13/0.72 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S0U
% 0.13/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.72 % No SInE strategy applied
% 0.13/0.72 % Search class: FGHSF-FSLM32-MFFFFFNN
% 0.13/0.72 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.72 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.13/0.72 % Starting G-E--_300_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 0.13/0.72 % Starting G-E--_302_C18_F1_URBAN_S0Y with 136s (1) cores
% 0.13/0.72 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0U with 136s (1) cores
% 0.13/0.72 % Preprocessing time : 0.004 s
% 0.13/0.72 % Presaturation interreduction done
% 0.13/0.72
% 0.13/0.72 % Proof found!
% 0.13/0.72 % SZS status Theorem
% 0.13/0.72 % SZS output start CNFRefutation
% See solution above
% 0.13/0.72 % Parsed axioms : 26
% 0.13/0.72 % Removed by relevancy pruning/SinE : 0
% 0.13/0.72 % Initial clauses : 149
% 0.13/0.72 % Removed in clause preprocessing : 2
% 0.13/0.72 % Initial clauses in saturation : 147
% 0.13/0.72 % Processed clauses : 636
% 0.13/0.72 % ...of these trivial : 6
% 0.13/0.72 % ...subsumed : 121
% 0.13/0.72 % ...remaining for further processing : 509
% 0.13/0.72 % Other redundant clauses eliminated : 87
% 0.13/0.72 % Clauses deleted for lack of memory : 0
% 0.13/0.72 % Backward-subsumed : 97
% 0.13/0.72 % Backward-rewritten : 25
% 0.13/0.72 % Generated clauses : 2105
% 0.13/0.72 % ...of the previous two non-redundant : 1819
% 0.13/0.72 % ...aggressively subsumed : 0
% 0.13/0.72 % Contextual simplify-reflections : 9
% 0.13/0.72 % Paramodulations : 2017
% 0.13/0.72 % Factorizations : 0
% 0.13/0.72 % NegExts : 0
% 0.13/0.72 % Equation resolutions : 87
% 0.13/0.72 % Disequality decompositions : 0
% 0.13/0.72 % Total rewrite steps : 961
% 0.13/0.72 % ...of those cached : 904
% 0.13/0.72 % Propositional unsat checks : 0
% 0.13/0.72 % Propositional check models : 0
% 0.13/0.72 % Propositional check unsatisfiable : 0
% 0.13/0.72 % Propositional clauses : 0
% 0.13/0.72 % Propositional clauses after purity: 0
% 0.13/0.72 % Propositional unsat core size : 0
% 0.13/0.72 % Propositional preprocessing time : 0.000
% 0.13/0.72 % Propositional encoding time : 0.000
% 0.13/0.72 % Propositional solver time : 0.000
% 0.13/0.72 % Success case prop preproc time : 0.000
% 0.13/0.72 % Success case prop encoding time : 0.000
% 0.13/0.72 % Success case prop solver time : 0.000
% 0.13/0.72 % Current number of processed clauses : 152
% 0.13/0.72 % Positive orientable unit clauses : 54
% 0.13/0.72 % Positive unorientable unit clauses: 0
% 0.13/0.72 % Negative unit clauses : 4
% 0.13/0.72 % Non-unit-clauses : 94
% 0.13/0.72 % Current number of unprocessed clauses: 1438
% 0.13/0.72 % ...number of literals in the above : 6098
% 0.13/0.72 % Current number of archived formulas : 0
% 0.13/0.72 % Current number of archived clauses : 290
% 0.13/0.72 % Clause-clause subsumption calls (NU) : 10076
% 0.13/0.72 % Rec. Clause-clause subsumption calls : 3850
% 0.13/0.72 % Non-unit clause-clause subsumptions : 143
% 0.13/0.72 % Unit Clause-clause subsumption calls : 250
% 0.13/0.72 % Rewrite failures with RHS unbound : 0
% 0.13/0.72 % BW rewrite match attempts : 111
% 0.13/0.72 % BW rewrite match successes : 13
% 0.13/0.72 % Condensation attempts : 0
% 0.13/0.72 % Condensation successes : 0
% 0.13/0.72 % Termbank termtop insertions : 52107
% 0.13/0.72 % Search garbage collected termcells : 1899
% 0.13/0.72
% 0.13/0.72 % -------------------------------------------------
% 0.13/0.72 % User time : 0.083 s
% 0.13/0.72 % System time : 0.005 s
% 0.13/0.72 % Total time : 0.088 s
% 0.13/0.72 % Maximum resident set size: 3936 pages
% 0.13/0.72
% 0.13/0.72 % -------------------------------------------------
% 0.13/0.72 % User time : 0.390 s
% 0.13/0.72 % System time : 0.028 s
% 0.13/0.72 % Total time : 0.417 s
% 0.13/0.72 % Maximum resident set size: 4608 pages
% 0.13/0.72 % E exiting
%------------------------------------------------------------------------------