%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT387+4 : 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 : n009.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 01:05:14 PM UTC 2026
% Result : Theorem 0.13s 0.50s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 11
% Syntax : Number of formulae : 97 ( 26 unt; 0 def)
% Number of atoms : 508 ( 53 equ)
% Maximal formula atoms : 95 ( 5 avg)
% Number of connectives : 606 ( 195 ~; 221 |; 142 &)
% ( 1 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-3 aty)
% Number of variables : 100 ( 0 sgn 65 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__1123,hypothesis,
( isOn0(xf,xU)
& szRzazndt0(xf) = xU
& szDzozmdt0(xf) = szRzazndt0(xf)
& isMonotone0(xf)
& ! [X1,X2] :
( ( aElementOf0(X2,szDzozmdt0(xf))
& aElementOf0(X1,szDzozmdt0(xf)) )
=> ( sdtlseqdt0(X1,X2)
=> sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2)) ) )
& aFunction0(xf)
& aCompleteLattice0(xU)
& ! [X1] :
( ( aSubsetOf0(X1,xU)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xU) )
& aSet0(X1) ) )
=> ? [X2] :
( ? [X3] :
( aSupremumOfIn0(X3,X1,xU)
& ! [X4] :
( ( aUpperBoundOfIn0(X4,X1,xU)
| ( ! [X5] :
( aElementOf0(X5,X1)
=> sdtlseqdt0(X5,X4) )
& aElementOf0(X4,xU) ) )
=> sdtlseqdt0(X3,X4) )
& aUpperBoundOfIn0(X3,X1,xU)
& ! [X4] :
( aElementOf0(X4,X1)
=> sdtlseqdt0(X4,X3) )
& aElementOf0(X3,xU)
& aElementOf0(X3,xU) )
& aInfimumOfIn0(X2,X1,xU)
& ! [X3] :
( ( aLowerBoundOfIn0(X3,X1,xU)
| ( ! [X4] :
( aElementOf0(X4,X1)
=> sdtlseqdt0(X3,X4) )
& aElementOf0(X3,xU) ) )
=> sdtlseqdt0(X3,X2) )
& aLowerBoundOfIn0(X2,X1,xU)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) )
& aElementOf0(X2,xU)
& aElementOf0(X2,xU) ) )
& aSet0(xU) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1123) ).
fof(m__1261,hypothesis,
( aInfimumOfIn0(xp,xP,xU)
& ! [X1] :
( ( aLowerBoundOfIn0(X1,xP,xU)
| ( ! [X2] :
( aElementOf0(X2,xP)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,xU) ) )
=> sdtlseqdt0(X1,xp) )
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(xp,X1) )
& aElementOf0(xp,xU)
& aElementOf0(xp,xU) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1261) ).
fof(m__1299,hypothesis,
( aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,sdtlpdtrp0(xf,xp)) )
& aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
& ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(sdtlpdtrp0(xf,xp),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1299) ).
fof(mImgSort,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElementOf0(sdtlpdtrp0(X1,X2),szRzazndt0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgSort) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(m__1244,hypothesis,
( xP = cS1241(xU,xf,xT)
& ! [X1] :
( ( ( ( aUpperBoundOfIn0(X1,xT,xU)
| ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X1) ) )
& sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)
& aElementOf0(X1,xU) )
=> aElementOf0(X1,xP) )
& ( aElementOf0(X1,xP)
=> ( aUpperBoundOfIn0(X1,xT,xU)
& ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X1) )
& sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)
& aElementOf0(X1,xU) ) ) )
& aSet0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1244) ).
fof(mASymm,axiom,
! [X1,X2] :
( ( aElement0(X2)
& aElement0(X1) )
=> ( ( sdtlseqdt0(X2,X1)
& sdtlseqdt0(X1,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mASymm) ).
fof(m__,conjecture,
( ( aSupremumOfIn0(xp,xT,xS)
| ( ! [X1] :
( ( aUpperBoundOfIn0(X1,xT,xS)
& ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,xS) )
=> sdtlseqdt0(xp,X1) )
& ( aUpperBoundOfIn0(xp,xT,xS)
| ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,xp) ) ) ) )
& ( aFixedPointOf0(xp,xf)
| ( sdtlpdtrp0(xf,xp) = xp
& aElementOf0(xp,szDzozmdt0(xf)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__1144,hypothesis,
( xS = cS1142(xf)
& ! [X1] :
( ( ( aFixedPointOf0(X1,xf)
| ( sdtlpdtrp0(xf,X1) = X1
& aElementOf0(X1,szDzozmdt0(xf)) ) )
=> aElementOf0(X1,xS) )
& ( aElementOf0(X1,xS)
=> ( aFixedPointOf0(X1,xf)
& sdtlpdtrp0(xf,X1) = X1
& aElementOf0(X1,szDzozmdt0(xf)) ) ) )
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1144) ).
fof(mARefl,axiom,
! [X1] :
( aElement0(X1)
=> sdtlseqdt0(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mARefl) ).
fof(c_0_10,plain,
! [X1] :
( epred1_1(X1)
<=> ? [X2] :
( ? [X3] :
( aSupremumOfIn0(X3,X1,xU)
& ! [X4] :
( ( aUpperBoundOfIn0(X4,X1,xU)
| ( ! [X5] :
( aElementOf0(X5,X1)
=> sdtlseqdt0(X5,X4) )
& aElementOf0(X4,xU) ) )
=> sdtlseqdt0(X3,X4) )
& aUpperBoundOfIn0(X3,X1,xU)
& ! [X4] :
( aElementOf0(X4,X1)
=> sdtlseqdt0(X4,X3) )
& aElementOf0(X3,xU) )
& aInfimumOfIn0(X2,X1,xU)
& ! [X3] :
( ( aLowerBoundOfIn0(X3,X1,xU)
| ( ! [X4] :
( aElementOf0(X4,X1)
=> sdtlseqdt0(X3,X4) )
& aElementOf0(X3,xU) ) )
=> sdtlseqdt0(X3,X2) )
& aLowerBoundOfIn0(X2,X1,xU)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) )
& aElementOf0(X2,xU) ) ),
introduced(definition) ).
fof(c_0_11,hypothesis,
( isOn0(xf,xU)
& szRzazndt0(xf) = xU
& szDzozmdt0(xf) = szRzazndt0(xf)
& isMonotone0(xf)
& ! [X1,X2] :
( ( aElementOf0(X2,szDzozmdt0(xf))
& aElementOf0(X1,szDzozmdt0(xf)) )
=> ( sdtlseqdt0(X1,X2)
=> sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2)) ) )
& aFunction0(xf)
& aCompleteLattice0(xU)
& ! [X1] :
( ( aSubsetOf0(X1,xU)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xU) )
& aSet0(X1) ) )
=> epred1_1(X1) )
& aSet0(xU) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[m__1123]),c_0_10]) ).
fof(c_0_12,hypothesis,
! [X80,X82,X83] :
( isOn0(xf,xU)
& szRzazndt0(xf) = xU
& szDzozmdt0(xf) = szRzazndt0(xf)
& isMonotone0(xf)
& ( sdtlseqdt0(sdtlpdtrp0(xf,X82),sdtlpdtrp0(xf,X83))
| ~ sdtlseqdt0(X82,X83)
| ~ aElementOf0(X83,szDzozmdt0(xf))
| ~ aElementOf0(X82,szDzozmdt0(xf)) )
& aFunction0(xf)
& aCompleteLattice0(xU)
& ( epred1_1(X80)
| ~ aSubsetOf0(X80,xU) )
& ( epred1_1(X80)
| ~ aSet0(X80)
| ~ aElementOf0(esk12_1(X80),xU) )
& ( epred1_1(X80)
| ~ aSet0(X80)
| aElementOf0(esk12_1(X80),X80) )
& aSet0(xU) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])])]) ).
fof(c_0_13,hypothesis,
( aInfimumOfIn0(xp,xP,xU)
& ! [X1] :
( ( aLowerBoundOfIn0(X1,xP,xU)
| ( ! [X2] :
( aElementOf0(X2,xP)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,xU) ) )
=> sdtlseqdt0(X1,xp) )
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(xp,X1) )
& aElementOf0(xp,xU) ),
inference(fof_simplification,[status(thm)],[m__1261]) ).
cnf(c_0_14,hypothesis,
szDzozmdt0(xf) = szRzazndt0(xf),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,hypothesis,
szRzazndt0(xf) = xU,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,hypothesis,
! [X90,X91] :
( aInfimumOfIn0(xp,xP,xU)
& ( sdtlseqdt0(X91,xp)
| ~ aLowerBoundOfIn0(X91,xP,xU) )
& ( sdtlseqdt0(X91,xp)
| ~ aElementOf0(X91,xU)
| ~ sdtlseqdt0(X91,esk14_1(X91)) )
& ( sdtlseqdt0(X91,xp)
| ~ aElementOf0(X91,xU)
| aElementOf0(esk14_1(X91),xP) )
& aLowerBoundOfIn0(xp,xP,xU)
& ( sdtlseqdt0(xp,X90)
| ~ aElementOf0(X90,xP) )
& aElementOf0(xp,xU) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])])]) ).
fof(c_0_17,hypothesis,
! [X93,X94] :
( aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)
& ( sdtlseqdt0(X94,sdtlpdtrp0(xf,xp))
| ~ aElementOf0(X94,xT) )
& aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
& ( sdtlseqdt0(sdtlpdtrp0(xf,xp),X93)
| ~ aElementOf0(X93,xP) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1299])])])]) ).
fof(c_0_18,plain,
! [X71,X72] :
( aElementOf0(sdtlpdtrp0(X71,X72),szRzazndt0(X71))
| ~ aElementOf0(X72,szDzozmdt0(X71))
| ~ aFunction0(X71) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgSort])])])]) ).
cnf(c_0_19,hypothesis,
( ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,szDzozmdt0(xf))
| ~ aElementOf0(X1,szDzozmdt0(xf))
| sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,hypothesis,
szDzozmdt0(xf) = xU,
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,hypothesis,
( ~ aLowerBoundOfIn0(X1,xP,xU)
| sdtlseqdt0(X1,xp) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,hypothesis,
aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_23,plain,
! [X8,X9] :
( aElement0(X9)
| ~ aElementOf0(X9,X8)
| ~ aSet0(X8) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])]) ).
cnf(c_0_24,plain,
( ~ aElementOf0(X2,szDzozmdt0(X1))
| ~ aFunction0(X1)
| aElementOf0(sdtlpdtrp0(X1,X2),szRzazndt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,hypothesis,
aFunction0(xf),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_26,hypothesis,
! [X86,X87,X88] :
( xP = cS1241(xU,xf,xT)
& ( aElementOf0(X88,xP)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X88),X88)
| ~ aElementOf0(X88,xU)
| ~ aUpperBoundOfIn0(X88,xT,xU) )
& ( aElementOf0(X88,xP)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X88),X88)
| ~ aElementOf0(X88,xU)
| ~ sdtlseqdt0(esk13_1(X88),X88) )
& ( aElementOf0(X88,xP)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X88),X88)
| ~ aElementOf0(X88,xU)
| aElementOf0(esk13_1(X88),xT) )
& ( ~ aElementOf0(X86,xP)
| aUpperBoundOfIn0(X86,xT,xU) )
& ( ~ aElementOf0(X86,xP)
| sdtlseqdt0(X87,X86)
| ~ aElementOf0(X87,xT) )
& ( ~ aElementOf0(X86,xP)
| sdtlseqdt0(sdtlpdtrp0(xf,X86),X86) )
& ( ~ aElementOf0(X86,xP)
| aElementOf0(X86,xU) )
& aSet0(xP) ),
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)],[m__1244])])])])])])]) ).
cnf(c_0_27,hypothesis,
( ~ aElementOf0(X1,xU)
| ~ aElementOf0(X2,xU)
| ~ sdtlseqdt0(X1,X2)
| sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_20]) ).
cnf(c_0_28,hypothesis,
sdtlseqdt0(sdtlpdtrp0(xf,xp),xp),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,hypothesis,
aElementOf0(xp,xU),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_30,plain,
! [X21,X22] :
( X21 = X22
| ~ sdtlseqdt0(X22,X21)
| ~ sdtlseqdt0(X21,X22)
| ~ aElement0(X22)
| ~ aElement0(X21) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mASymm])])]) ).
cnf(c_0_31,plain,
( ~ aElementOf0(X2,X1)
| ~ aSet0(X1)
| aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,hypothesis,
aSet0(xU),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_33,hypothesis,
( ~ aElementOf0(X1,xU)
| aElementOf0(sdtlpdtrp0(xf,X1),xU) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_20]),c_0_15]),c_0_25])]) ).
cnf(c_0_34,hypothesis,
( ~ sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)
| ~ aElementOf0(X1,xU)
| ~ aUpperBoundOfIn0(X1,xT,xU)
| aElementOf0(X1,xP) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,hypothesis,
aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_36,hypothesis,
( ~ aElementOf0(sdtlpdtrp0(xf,xp),xU)
| sdtlseqdt0(sdtlpdtrp0(xf,sdtlpdtrp0(xf,xp)),sdtlpdtrp0(xf,xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_37,plain,
( ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X1)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,hypothesis,
aElement0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_29]),c_0_32])]) ).
cnf(c_0_39,hypothesis,
aElementOf0(sdtlpdtrp0(xf,xp),xU),
inference(spm,[status(thm)],[c_0_33,c_0_29]) ).
cnf(c_0_40,hypothesis,
( ~ aElementOf0(sdtlpdtrp0(xf,xp),xU)
| aElementOf0(sdtlpdtrp0(xf,xp),xP) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
fof(c_0_41,negated_conjecture,
~ ( ( aSupremumOfIn0(xp,xT,xS)
| ( ! [X1] :
( ( aUpperBoundOfIn0(X1,xT,xS)
& ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,xS) )
=> sdtlseqdt0(xp,X1) )
& ( aUpperBoundOfIn0(xp,xT,xS)
| ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,xp) ) ) ) )
& ( aFixedPointOf0(xp,xf)
| ( sdtlpdtrp0(xf,xp) = xp
& aElementOf0(xp,szDzozmdt0(xf)) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_42,hypothesis,
( ~ aElement0(sdtlpdtrp0(xf,xp))
| ~ sdtlseqdt0(xp,sdtlpdtrp0(xf,xp))
| sdtlpdtrp0(xf,xp) = xp ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_28]),c_0_38])]) ).
cnf(c_0_43,hypothesis,
aElement0(sdtlpdtrp0(xf,xp)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_39]),c_0_32])]) ).
cnf(c_0_44,hypothesis,
( ~ aElementOf0(X1,xP)
| sdtlseqdt0(xp,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_45,hypothesis,
aElementOf0(sdtlpdtrp0(xf,xp),xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_39])]) ).
fof(c_0_46,negated_conjecture,
! [X97] :
( ( ~ aFixedPointOf0(xp,xf)
| ~ aSupremumOfIn0(xp,xT,xS) )
& ( ~ aFixedPointOf0(xp,xf)
| ~ aUpperBoundOfIn0(xp,xT,xS)
| ~ sdtlseqdt0(xp,esk16_0) )
& ( ~ aFixedPointOf0(xp,xf)
| ~ aUpperBoundOfIn0(xp,xT,xS)
| aUpperBoundOfIn0(esk16_0,xT,xS) )
& ( ~ aFixedPointOf0(xp,xf)
| ~ aUpperBoundOfIn0(xp,xT,xS)
| sdtlseqdt0(X97,esk16_0)
| ~ aElementOf0(X97,xT) )
& ( ~ aFixedPointOf0(xp,xf)
| ~ aUpperBoundOfIn0(xp,xT,xS)
| aElementOf0(esk16_0,xS) )
& ( ~ aFixedPointOf0(xp,xf)
| ~ sdtlseqdt0(esk15_0,xp)
| ~ sdtlseqdt0(xp,esk16_0) )
& ( ~ aFixedPointOf0(xp,xf)
| ~ sdtlseqdt0(esk15_0,xp)
| aUpperBoundOfIn0(esk16_0,xT,xS) )
& ( ~ aFixedPointOf0(xp,xf)
| ~ sdtlseqdt0(esk15_0,xp)
| sdtlseqdt0(X97,esk16_0)
| ~ aElementOf0(X97,xT) )
& ( ~ aFixedPointOf0(xp,xf)
| ~ sdtlseqdt0(esk15_0,xp)
| aElementOf0(esk16_0,xS) )
& ( ~ aFixedPointOf0(xp,xf)
| aElementOf0(esk15_0,xT)
| ~ sdtlseqdt0(xp,esk16_0) )
& ( ~ aFixedPointOf0(xp,xf)
| aElementOf0(esk15_0,xT)
| aUpperBoundOfIn0(esk16_0,xT,xS) )
& ( ~ aFixedPointOf0(xp,xf)
| aElementOf0(esk15_0,xT)
| sdtlseqdt0(X97,esk16_0)
| ~ aElementOf0(X97,xT) )
& ( ~ aFixedPointOf0(xp,xf)
| aElementOf0(esk15_0,xT)
| aElementOf0(esk16_0,xS) )
& ( sdtlpdtrp0(xf,xp) != xp
| ~ aElementOf0(xp,szDzozmdt0(xf))
| ~ aSupremumOfIn0(xp,xT,xS) )
& ( sdtlpdtrp0(xf,xp) != xp
| ~ aElementOf0(xp,szDzozmdt0(xf))
| ~ aUpperBoundOfIn0(xp,xT,xS)
| ~ sdtlseqdt0(xp,esk16_0) )
& ( sdtlpdtrp0(xf,xp) != xp
| ~ aElementOf0(xp,szDzozmdt0(xf))
| ~ aUpperBoundOfIn0(xp,xT,xS)
| aUpperBoundOfIn0(esk16_0,xT,xS) )
& ( sdtlpdtrp0(xf,xp) != xp
| ~ aElementOf0(xp,szDzozmdt0(xf))
| ~ aUpperBoundOfIn0(xp,xT,xS)
| sdtlseqdt0(X97,esk16_0)
| ~ aElementOf0(X97,xT) )
& ( sdtlpdtrp0(xf,xp) != xp
| ~ aElementOf0(xp,szDzozmdt0(xf))
| ~ aUpperBoundOfIn0(xp,xT,xS)
| aElementOf0(esk16_0,xS) )
& ( sdtlpdtrp0(xf,xp) != xp
| ~ aElementOf0(xp,szDzozmdt0(xf))
| ~ sdtlseqdt0(esk15_0,xp)
| ~ sdtlseqdt0(xp,esk16_0) )
& ( sdtlpdtrp0(xf,xp) != xp
| ~ aElementOf0(xp,szDzozmdt0(xf))
| ~ sdtlseqdt0(esk15_0,xp)
| aUpperBoundOfIn0(esk16_0,xT,xS) )
& ( sdtlpdtrp0(xf,xp) != xp
| ~ aElementOf0(xp,szDzozmdt0(xf))
| ~ sdtlseqdt0(esk15_0,xp)
| sdtlseqdt0(X97,esk16_0)
| ~ aElementOf0(X97,xT) )
& ( sdtlpdtrp0(xf,xp) != xp
| ~ aElementOf0(xp,szDzozmdt0(xf))
| ~ sdtlseqdt0(esk15_0,xp)
| aElementOf0(esk16_0,xS) )
& ( sdtlpdtrp0(xf,xp) != xp
| ~ aElementOf0(xp,szDzozmdt0(xf))
| aElementOf0(esk15_0,xT)
| ~ sdtlseqdt0(xp,esk16_0) )
& ( sdtlpdtrp0(xf,xp) != xp
| ~ aElementOf0(xp,szDzozmdt0(xf))
| aElementOf0(esk15_0,xT)
| aUpperBoundOfIn0(esk16_0,xT,xS) )
& ( sdtlpdtrp0(xf,xp) != xp
| ~ aElementOf0(xp,szDzozmdt0(xf))
| aElementOf0(esk15_0,xT)
| sdtlseqdt0(X97,esk16_0)
| ~ aElementOf0(X97,xT) )
& ( sdtlpdtrp0(xf,xp) != xp
| ~ aElementOf0(xp,szDzozmdt0(xf))
| aElementOf0(esk15_0,xT)
| aElementOf0(esk16_0,xS) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])])])]) ).
cnf(c_0_47,hypothesis,
( ~ sdtlseqdt0(xp,sdtlpdtrp0(xf,xp))
| sdtlpdtrp0(xf,xp) = xp ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43])]) ).
cnf(c_0_48,hypothesis,
sdtlseqdt0(xp,sdtlpdtrp0(xf,xp)),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,negated_conjecture,
( sdtlpdtrp0(xf,xp) != xp
| ~ aElementOf0(xp,szDzozmdt0(xf))
| aElementOf0(esk15_0,xT)
| aElementOf0(esk16_0,xS) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_50,negated_conjecture,
( sdtlpdtrp0(xf,xp) != xp
| ~ aElementOf0(xp,szDzozmdt0(xf))
| ~ sdtlseqdt0(esk15_0,xp)
| aElementOf0(esk16_0,xS) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_51,hypothesis,
( ~ aElementOf0(X1,xT)
| sdtlseqdt0(X1,sdtlpdtrp0(xf,xp)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_52,hypothesis,
sdtlpdtrp0(xf,xp) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).
cnf(c_0_53,negated_conjecture,
( sdtlpdtrp0(xf,xp) != xp
| aElementOf0(esk15_0,xT)
| aElementOf0(esk16_0,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_20]),c_0_29])]) ).
cnf(c_0_54,negated_conjecture,
( ~ sdtlseqdt0(esk15_0,xp)
| sdtlpdtrp0(xf,xp) != xp
| aElementOf0(esk16_0,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_20]),c_0_29])]) ).
cnf(c_0_55,hypothesis,
( ~ aElementOf0(X1,xT)
| sdtlseqdt0(X1,xp) ),
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,negated_conjecture,
( aElementOf0(esk15_0,xT)
| aElementOf0(esk16_0,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_52])]) ).
cnf(c_0_57,negated_conjecture,
( ~ sdtlseqdt0(esk15_0,xp)
| aElementOf0(esk16_0,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_52])]) ).
fof(c_0_58,hypothesis,
! [X84] :
( xS = cS1142(xf)
& ( aElementOf0(X84,xS)
| ~ aFixedPointOf0(X84,xf) )
& ( aElementOf0(X84,xS)
| sdtlpdtrp0(xf,X84) != X84
| ~ aElementOf0(X84,szDzozmdt0(xf)) )
& ( ~ aElementOf0(X84,xS)
| aFixedPointOf0(X84,xf) )
& ( ~ aElementOf0(X84,xS)
| sdtlpdtrp0(xf,X84) = X84 )
& ( ~ aElementOf0(X84,xS)
| aElementOf0(X84,szDzozmdt0(xf)) )
& aSet0(xS) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1144])])])])]) ).
fof(c_0_59,plain,
! [X20] :
( sdtlseqdt0(X20,X20)
| ~ aElement0(X20) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mARefl])])]) ).
cnf(c_0_60,negated_conjecture,
aElementOf0(esk16_0,xS),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_61,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_62,hypothesis,
( ~ aElementOf0(X1,xS)
| aElementOf0(X1,szDzozmdt0(xf)) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_63,negated_conjecture,
( sdtlpdtrp0(xf,xp) != xp
| ~ aElementOf0(xp,szDzozmdt0(xf))
| ~ aElementOf0(X1,xT)
| aElementOf0(esk15_0,xT)
| sdtlseqdt0(X1,esk16_0) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_64,hypothesis,
( ~ aElementOf0(X1,xS)
| sdtlpdtrp0(xf,X1) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_65,plain,
( ~ aElement0(X1)
| sdtlseqdt0(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_66,negated_conjecture,
aElement0(esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_60]),c_0_61])]) ).
cnf(c_0_67,hypothesis,
( ~ aElementOf0(X1,xS)
| aElementOf0(X1,xU) ),
inference(rw,[status(thm)],[c_0_62,c_0_20]) ).
cnf(c_0_68,negated_conjecture,
( ~ aElementOf0(X1,xT)
| sdtlpdtrp0(xf,xp) != xp
| aElementOf0(esk15_0,xT)
| sdtlseqdt0(X1,esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_20]),c_0_29])]) ).
cnf(c_0_69,hypothesis,
( ~ sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)
| ~ aElementOf0(X1,xU)
| aElementOf0(X1,xP)
| aElementOf0(esk13_1(X1),xT) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_70,hypothesis,
sdtlpdtrp0(xf,esk16_0) = esk16_0,
inference(spm,[status(thm)],[c_0_64,c_0_60]) ).
cnf(c_0_71,negated_conjecture,
sdtlseqdt0(esk16_0,esk16_0),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,hypothesis,
aElementOf0(esk16_0,xU),
inference(spm,[status(thm)],[c_0_67,c_0_60]) ).
cnf(c_0_73,negated_conjecture,
( ~ aElementOf0(X1,xT)
| aElementOf0(esk15_0,xT)
| sdtlseqdt0(X1,esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_52])]) ).
cnf(c_0_74,hypothesis,
( aElementOf0(esk16_0,xP)
| aElementOf0(esk13_1(esk16_0),xT) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]),c_0_72])]) ).
cnf(c_0_75,negated_conjecture,
( sdtlpdtrp0(xf,xp) != xp
| ~ aElementOf0(xp,szDzozmdt0(xf))
| ~ sdtlseqdt0(esk15_0,xp)
| ~ aElementOf0(X1,xT)
| sdtlseqdt0(X1,esk16_0) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_76,hypothesis,
( ~ sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)
| ~ aElementOf0(X1,xU)
| ~ sdtlseqdt0(esk13_1(X1),X1)
| aElementOf0(X1,xP) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_77,negated_conjecture,
( aElementOf0(esk15_0,xT)
| aElementOf0(esk16_0,xP)
| sdtlseqdt0(esk13_1(esk16_0),esk16_0) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_78,negated_conjecture,
( ~ aElementOf0(X1,xT)
| ~ sdtlseqdt0(esk15_0,xp)
| sdtlpdtrp0(xf,xp) != xp
| sdtlseqdt0(X1,esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_20]),c_0_29])]) ).
cnf(c_0_79,hypothesis,
( aElementOf0(esk16_0,xP)
| aElementOf0(esk15_0,xT) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_70]),c_0_71]),c_0_72])]) ).
cnf(c_0_80,negated_conjecture,
( ~ aElementOf0(X1,xT)
| ~ sdtlseqdt0(esk15_0,xp)
| sdtlseqdt0(X1,esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_52])]) ).
cnf(c_0_81,hypothesis,
( aElementOf0(esk16_0,xP)
| sdtlseqdt0(esk15_0,xp) ),
inference(spm,[status(thm)],[c_0_55,c_0_79]) ).
cnf(c_0_82,hypothesis,
( ~ aElementOf0(X2,xP)
| ~ aElementOf0(X1,xT)
| sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_83,negated_conjecture,
( ~ aElementOf0(X1,xT)
| sdtlseqdt0(X1,esk16_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).
cnf(c_0_84,negated_conjecture,
( sdtlpdtrp0(xf,xp) != xp
| ~ aElementOf0(xp,szDzozmdt0(xf))
| ~ sdtlseqdt0(esk15_0,xp)
| ~ sdtlseqdt0(xp,esk16_0) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_85,negated_conjecture,
( sdtlpdtrp0(xf,xp) != xp
| ~ aElementOf0(xp,szDzozmdt0(xf))
| ~ sdtlseqdt0(xp,esk16_0)
| aElementOf0(esk15_0,xT) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_86,hypothesis,
( aElementOf0(esk16_0,xP)
| sdtlseqdt0(esk13_1(esk16_0),esk16_0) ),
inference(spm,[status(thm)],[c_0_83,c_0_74]) ).
cnf(c_0_87,negated_conjecture,
( ~ aElementOf0(xp,xU)
| ~ sdtlseqdt0(esk15_0,xp)
| ~ sdtlseqdt0(xp,esk16_0)
| sdtlpdtrp0(xf,xp) != xp ),
inference(rw,[status(thm)],[c_0_84,c_0_20]) ).
cnf(c_0_88,negated_conjecture,
( ~ sdtlseqdt0(xp,esk16_0)
| sdtlpdtrp0(xf,xp) != xp
| aElementOf0(esk15_0,xT) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_20]),c_0_29])]) ).
cnf(c_0_89,hypothesis,
aElementOf0(esk16_0,xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_86]),c_0_70]),c_0_71]),c_0_72])]) ).
cnf(c_0_90,negated_conjecture,
( ~ sdtlseqdt0(esk15_0,xp)
| ~ sdtlseqdt0(xp,esk16_0)
| sdtlpdtrp0(xf,xp) != xp ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_29])]) ).
cnf(c_0_91,negated_conjecture,
( ~ sdtlseqdt0(xp,esk16_0)
| aElementOf0(esk15_0,xT) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_52])]) ).
cnf(c_0_92,hypothesis,
sdtlseqdt0(xp,esk16_0),
inference(spm,[status(thm)],[c_0_44,c_0_89]) ).
cnf(c_0_93,negated_conjecture,
( ~ sdtlseqdt0(esk15_0,xp)
| ~ sdtlseqdt0(xp,esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_52])]) ).
cnf(c_0_94,negated_conjecture,
aElementOf0(esk15_0,xT),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]) ).
cnf(c_0_95,negated_conjecture,
~ sdtlseqdt0(esk15_0,xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_92])]) ).
cnf(c_0_96,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_94]),c_0_95]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT387+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 23:58:12 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.50 % Version: 3.5.1
% 0.13/0.50 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.50 % Starting sh5l with 300s (1) cores
% 0.13/0.50 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 402935 completed with status 0
% 0.13/0.50 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.13/0.50 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.50 % No SInE strategy applied
% 0.13/0.50 % Search class: FGHSF-FSMM31-SFFFFFNN
% 0.13/0.50 % partial match(1): FGHSF-FFMM31-SFFFFFNN
% 0.13/0.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.50 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.13/0.50 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.13/0.50 % Starting new_bool_3 with 136s (1) cores
% 0.13/0.50 % Starting new_bool_1 with 136s (1) cores
% 0.13/0.50 % new_bool_1 with pid 402946 completed with status 0
% 0.13/0.50 % Result found by new_bool_1
% 0.13/0.50 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.50 % No SInE strategy applied
% 0.13/0.50 % Search class: FGHSF-FSMM31-SFFFFFNN
% 0.13/0.50 % partial match(1): FGHSF-FFMM31-SFFFFFNN
% 0.13/0.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.50 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.50 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.13/0.50 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.13/0.50 % Starting new_bool_3 with 136s (1) cores
% 0.13/0.50 % Starting new_bool_1 with 136s (1) cores
% 0.13/0.50 % Preprocessing time : 0.003 s
% 0.13/0.50 % Presaturation interreduction done
% 0.13/0.50
% 0.13/0.50 % Proof found!
% 0.13/0.50 % SZS status Theorem
% 0.13/0.50 % SZS output start CNFRefutation
% See solution above
% 0.13/0.50 % Parsed axioms : 30
% 0.13/0.50 % Removed by relevancy pruning/SinE : 0
% 0.13/0.50 % Initial clauses : 134
% 0.13/0.50 % Removed in clause preprocessing : 4
% 0.13/0.50 % Initial clauses in saturation : 130
% 0.13/0.50 % Processed clauses : 765
% 0.13/0.50 % ...of these trivial : 16
% 0.13/0.50 % ...subsumed : 127
% 0.13/0.50 % ...remaining for further processing : 622
% 0.13/0.50 % Other redundant clauses eliminated : 1
% 0.13/0.50 % Clauses deleted for lack of memory : 0
% 0.13/0.50 % Backward-subsumed : 33
% 0.13/0.50 % Backward-rewritten : 152
% 0.13/0.50 % Generated clauses : 1243
% 0.13/0.50 % ...of the previous two non-redundant : 1164
% 0.13/0.50 % ...aggressively subsumed : 0
% 0.13/0.50 % Contextual simplify-reflections : 40
% 0.13/0.50 % Paramodulations : 1237
% 0.13/0.50 % Factorizations : 0
% 0.13/0.50 % NegExts : 0
% 0.13/0.50 % Equation resolutions : 1
% 0.13/0.50 % Disequality decompositions : 0
% 0.13/0.50 % Total rewrite steps : 1035
% 0.13/0.50 % ...of those cached : 952
% 0.13/0.50 % Propositional unsat checks : 0
% 0.13/0.50 % Propositional check models : 0
% 0.13/0.50 % Propositional check unsatisfiable : 0
% 0.13/0.50 % Propositional clauses : 0
% 0.13/0.50 % Propositional clauses after purity: 0
% 0.13/0.50 % Propositional unsat core size : 0
% 0.13/0.50 % Propositional preprocessing time : 0.000
% 0.13/0.50 % Propositional encoding time : 0.000
% 0.13/0.50 % Propositional solver time : 0.000
% 0.13/0.50 % Success case prop preproc time : 0.000
% 0.13/0.50 % Success case prop encoding time : 0.000
% 0.13/0.50 % Success case prop solver time : 0.000
% 0.13/0.50 % Current number of processed clauses : 301
% 0.13/0.50 % Positive orientable unit clauses : 93
% 0.13/0.50 % Positive unorientable unit clauses: 0
% 0.13/0.50 % Negative unit clauses : 6
% 0.13/0.50 % Non-unit-clauses : 202
% 0.13/0.50 % Current number of unprocessed clauses: 620
% 0.13/0.50 % ...number of literals in the above : 2382
% 0.13/0.50 % Current number of archived formulas : 0
% 0.13/0.50 % Current number of archived clauses : 320
% 0.13/0.50 % Clause-clause subsumption calls (NU) : 15771
% 0.13/0.50 % Rec. Clause-clause subsumption calls : 9337
% 0.13/0.50 % Non-unit clause-clause subsumptions : 158
% 0.13/0.50 % Unit Clause-clause subsumption calls : 2576
% 0.13/0.50 % Rewrite failures with RHS unbound : 0
% 0.13/0.50 % BW rewrite match attempts : 36
% 0.13/0.50 % BW rewrite match successes : 29
% 0.13/0.50 % Condensation attempts : 0
% 0.13/0.50 % Condensation successes : 0
% 0.13/0.50 % Termbank termtop insertions : 30731
% 0.13/0.50 % Search garbage collected termcells : 2166
% 0.13/0.50
% 0.13/0.50 % -------------------------------------------------
% 0.13/0.50 % User time : 0.076 s
% 0.13/0.50 % System time : 0.006 s
% 0.13/0.50 % Total time : 0.082 s
% 0.13/0.50 % Maximum resident set size: 3896 pages
% 0.13/0.50
% 0.13/0.50 % -------------------------------------------------
% 0.13/0.50 % User time : 0.351 s
% 0.13/0.50 % System time : 0.031 s
% 0.13/0.50 % Total time : 0.382 s
% 0.13/0.50 % Maximum resident set size: 4608 pages
% 0.13/0.50 % E exiting
%------------------------------------------------------------------------------