%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT387+4 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n004.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 : Tue May 5 04:38:26 PM UTC 2026
% Result : Theorem 1.50s 1.79s
% Output : CNFRefutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 95 ( 20 unt; 0 def)
% Number of atoms : 524 ( 42 equ)
% Maximal formula atoms : 95 ( 5 avg)
% Number of connectives : 640 ( 211 ~; 230 |; 147 &)
% ( 2 <=>; 50 =>; 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 : 18 ( 18 usr; 8 con; 0-3 aty)
% Number of variables : 107 ( 0 sgn 71 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__1261,hypothesis,
( aElementOf0(xp,xU)
& aElementOf0(xp,xU)
& ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(xp,X1) )
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X1] :
( ( ( aElementOf0(X1,xU)
& ! [X2] :
( aElementOf0(X2,xP)
=> sdtlseqdt0(X1,X2) ) )
| aLowerBoundOfIn0(X1,xP,xU) )
=> sdtlseqdt0(X1,xp) )
& aInfimumOfIn0(xp,xP,xU) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1261) ).
fof(m__1123,hypothesis,
( aSet0(xU)
& ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xU) ) )
| aSubsetOf0(X1,xU) )
=> ? [X2] :
( aElementOf0(X2,xU)
& aElementOf0(X2,xU)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) )
& aLowerBoundOfIn0(X2,X1,xU)
& ! [X3] :
( ( ( aElementOf0(X3,xU)
& ! [X4] :
( aElementOf0(X4,X1)
=> sdtlseqdt0(X3,X4) ) )
| aLowerBoundOfIn0(X3,X1,xU) )
=> sdtlseqdt0(X3,X2) )
& aInfimumOfIn0(X2,X1,xU)
& ? [X3] :
( aElementOf0(X3,xU)
& aElementOf0(X3,xU)
& ! [X4] :
( aElementOf0(X4,X1)
=> sdtlseqdt0(X4,X3) )
& aUpperBoundOfIn0(X3,X1,xU)
& ! [X4] :
( ( ( aElementOf0(X4,xU)
& ! [X5] :
( aElementOf0(X5,X1)
=> sdtlseqdt0(X5,X4) ) )
| aUpperBoundOfIn0(X4,X1,xU) )
=> sdtlseqdt0(X3,X4) )
& aSupremumOfIn0(X3,X1,xU) ) ) )
& aCompleteLattice0(xU)
& aFunction0(xf)
& ! [X1,X2] :
( ( aElementOf0(X1,szDzozmdt0(xf))
& aElementOf0(X2,szDzozmdt0(xf)) )
=> ( sdtlseqdt0(X1,X2)
=> sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2)) ) )
& isMonotone0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& szRzazndt0(xf) = xU
& isOn0(xf,xU) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1123) ).
fof(m__1244,hypothesis,
( aSet0(xP)
& ! [X1] :
( ( aElementOf0(X1,xP)
=> ( aElementOf0(X1,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)
& ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X1) )
& aUpperBoundOfIn0(X1,xT,xU) ) )
& ( ( aElementOf0(X1,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)
& ( ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X1) )
| aUpperBoundOfIn0(X1,xT,xU) ) )
=> aElementOf0(X1,xP) ) )
& xP = cS1241(xU,xf,xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1244) ).
fof(m__1299,hypothesis,
( ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(sdtlpdtrp0(xf,xp),X1) )
& aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
& ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,sdtlpdtrp0(xf,xp)) )
& aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1299) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(mDefMonot,axiom,
! [X1] :
( aFunction0(X1)
=> ( isMonotone0(X1)
<=> ! [X2,X3] :
( ( aElementOf0(X2,szDzozmdt0(X1))
& aElementOf0(X3,szDzozmdt0(X1)) )
=> ( sdtlseqdt0(X2,X3)
=> sdtlseqdt0(sdtlpdtrp0(X1,X2),sdtlpdtrp0(X1,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMonot) ).
fof(mASymm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mASymm) ).
fof(m__,conjecture,
( ( ( aElementOf0(xp,szDzozmdt0(xf))
& sdtlpdtrp0(xf,xp) = xp )
| aFixedPointOf0(xp,xf) )
& ( ( ( ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,xp) )
| aUpperBoundOfIn0(xp,xT,xS) )
& ! [X1] :
( ( aElementOf0(X1,xS)
& ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X1) )
& aUpperBoundOfIn0(X1,xT,xS) )
=> sdtlseqdt0(xp,X1) ) )
| aSupremumOfIn0(xp,xT,xS) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
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(m__1144,hypothesis,
( aSet0(xS)
& ! [X1] :
( ( aElementOf0(X1,xS)
=> ( aElementOf0(X1,szDzozmdt0(xf))
& sdtlpdtrp0(xf,X1) = X1
& aFixedPointOf0(X1,xf) ) )
& ( ( ( aElementOf0(X1,szDzozmdt0(xf))
& sdtlpdtrp0(xf,X1) = X1 )
| aFixedPointOf0(X1,xf) )
=> aElementOf0(X1,xS) ) )
& xS = cS1142(xf) ),
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_11,plain,
! [X1] :
( epred1_1(X1)
<=> ? [X2] :
( aElementOf0(X2,xU)
& ! [X3] :
( aElementOf0(X3,X1)
=> sdtlseqdt0(X2,X3) )
& aLowerBoundOfIn0(X2,X1,xU)
& ! [X3] :
( ( ( aElementOf0(X3,xU)
& ! [X4] :
( aElementOf0(X4,X1)
=> sdtlseqdt0(X3,X4) ) )
| aLowerBoundOfIn0(X3,X1,xU) )
=> sdtlseqdt0(X3,X2) )
& aInfimumOfIn0(X2,X1,xU)
& ? [X3] :
( aElementOf0(X3,xU)
& ! [X4] :
( aElementOf0(X4,X1)
=> sdtlseqdt0(X4,X3) )
& aUpperBoundOfIn0(X3,X1,xU)
& ! [X4] :
( ( ( aElementOf0(X4,xU)
& ! [X5] :
( aElementOf0(X5,X1)
=> sdtlseqdt0(X5,X4) ) )
| aUpperBoundOfIn0(X4,X1,xU) )
=> sdtlseqdt0(X3,X4) )
& aSupremumOfIn0(X3,X1,xU) ) ) ),
introduced(definition) ).
fof(c_0_12,hypothesis,
( aElementOf0(xp,xU)
& ! [X1] :
( aElementOf0(X1,xP)
=> sdtlseqdt0(xp,X1) )
& aLowerBoundOfIn0(xp,xP,xU)
& ! [X1] :
( ( ( aElementOf0(X1,xU)
& ! [X2] :
( aElementOf0(X2,xP)
=> sdtlseqdt0(X1,X2) ) )
| aLowerBoundOfIn0(X1,xP,xU) )
=> sdtlseqdt0(X1,xp) )
& aInfimumOfIn0(xp,xP,xU) ),
inference(fof_simplification,[status(thm)],[m__1261]) ).
fof(c_0_13,hypothesis,
( aSet0(xU)
& ! [X1] :
( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xU) ) )
| aSubsetOf0(X1,xU) )
=> epred1_1(X1) )
& aCompleteLattice0(xU)
& aFunction0(xf)
& ! [X1,X2] :
( ( aElementOf0(X1,szDzozmdt0(xf))
& aElementOf0(X2,szDzozmdt0(xf)) )
=> ( sdtlseqdt0(X1,X2)
=> sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2)) ) )
& isMonotone0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& szRzazndt0(xf) = xU
& isOn0(xf,xU) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[m__1123]),c_0_11]) ).
fof(c_0_14,hypothesis,
! [X163,X164,X165] :
( aSet0(xP)
& ( aElementOf0(X163,xU)
| ~ aElementOf0(X163,xP) )
& ( sdtlseqdt0(sdtlpdtrp0(xf,X163),X163)
| ~ aElementOf0(X163,xP) )
& ( ~ aElementOf0(X164,xT)
| sdtlseqdt0(X164,X163)
| ~ aElementOf0(X163,xP) )
& ( aUpperBoundOfIn0(X163,xT,xU)
| ~ aElementOf0(X163,xP) )
& ( aElementOf0(esk13_1(X165),xT)
| ~ aElementOf0(X165,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X165),X165)
| aElementOf0(X165,xP) )
& ( ~ sdtlseqdt0(esk13_1(X165),X165)
| ~ aElementOf0(X165,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X165),X165)
| aElementOf0(X165,xP) )
& ( ~ aUpperBoundOfIn0(X165,xT,xU)
| ~ aElementOf0(X165,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X165),X165)
| aElementOf0(X165,xP) )
& xP = cS1241(xU,xf,xT) ),
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)],[m__1244])])])])])]) ).
fof(c_0_15,hypothesis,
! [X170,X171] :
( ( ~ aElementOf0(X170,xP)
| sdtlseqdt0(sdtlpdtrp0(xf,xp),X170) )
& aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU)
& ( ~ aElementOf0(X171,xT)
| sdtlseqdt0(X171,sdtlpdtrp0(xf,xp)) )
& aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1299])])]) ).
fof(c_0_16,hypothesis,
! [X167,X168] :
( aElementOf0(xp,xU)
& ( ~ aElementOf0(X167,xP)
| sdtlseqdt0(xp,X167) )
& aLowerBoundOfIn0(xp,xP,xU)
& ( aElementOf0(esk14_1(X168),xP)
| ~ aElementOf0(X168,xU)
| sdtlseqdt0(X168,xp) )
& ( ~ sdtlseqdt0(X168,esk14_1(X168))
| ~ aElementOf0(X168,xU)
| sdtlseqdt0(X168,xp) )
& ( ~ aLowerBoundOfIn0(X168,xP,xU)
| sdtlseqdt0(X168,xp) )
& aInfimumOfIn0(xp,xP,xU) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).
fof(c_0_17,hypothesis,
! [X157,X159,X160] :
( aSet0(xU)
& ( aElementOf0(esk12_1(X157),X157)
| ~ aSet0(X157)
| epred1_1(X157) )
& ( ~ aElementOf0(esk12_1(X157),xU)
| ~ aSet0(X157)
| epred1_1(X157) )
& ( ~ aSubsetOf0(X157,xU)
| epred1_1(X157) )
& aCompleteLattice0(xU)
& aFunction0(xf)
& ( ~ aElementOf0(X159,szDzozmdt0(xf))
| ~ aElementOf0(X160,szDzozmdt0(xf))
| ~ sdtlseqdt0(X159,X160)
| sdtlseqdt0(sdtlpdtrp0(xf,X159),sdtlpdtrp0(xf,X160)) )
& isMonotone0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& szRzazndt0(xf) = xU
& isOn0(xf,xU) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])]) ).
fof(c_0_18,plain,
! [X88,X89] :
( ~ aSet0(X88)
| ~ aElementOf0(X89,X88)
| aElement0(X89) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
cnf(c_0_19,hypothesis,
( aElementOf0(X1,xP)
| ~ sdtlseqdt0(esk13_1(X1),X1)
| ~ aElementOf0(X1,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,hypothesis,
( sdtlseqdt0(X1,sdtlpdtrp0(xf,xp))
| ~ aElementOf0(X1,xT) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,hypothesis,
( aElementOf0(esk13_1(X1),xT)
| aElementOf0(X1,xP)
| ~ aElementOf0(X1,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_22,plain,
! [X152,X153,X154] :
( ( ~ isMonotone0(X152)
| ~ aElementOf0(X153,szDzozmdt0(X152))
| ~ aElementOf0(X154,szDzozmdt0(X152))
| ~ sdtlseqdt0(X153,X154)
| sdtlseqdt0(sdtlpdtrp0(X152,X153),sdtlpdtrp0(X152,X154))
| ~ aFunction0(X152) )
& ( aElementOf0(esk10_1(X152),szDzozmdt0(X152))
| isMonotone0(X152)
| ~ aFunction0(X152) )
& ( aElementOf0(esk11_1(X152),szDzozmdt0(X152))
| isMonotone0(X152)
| ~ aFunction0(X152) )
& ( sdtlseqdt0(esk10_1(X152),esk11_1(X152))
| isMonotone0(X152)
| ~ aFunction0(X152) )
& ( ~ sdtlseqdt0(sdtlpdtrp0(X152,esk10_1(X152)),sdtlpdtrp0(X152,esk11_1(X152)))
| isMonotone0(X152)
| ~ aFunction0(X152) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefMonot])])])])]) ).
cnf(c_0_23,hypothesis,
( sdtlseqdt0(X1,xp)
| ~ aLowerBoundOfIn0(X1,xP,xU) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,hypothesis,
aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,hypothesis,
szDzozmdt0(xf) = szRzazndt0(xf),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,hypothesis,
szRzazndt0(xf) = xU,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_27,plain,
! [X99,X100] :
( ~ aElement0(X99)
| ~ aElement0(X100)
| ~ sdtlseqdt0(X99,X100)
| ~ sdtlseqdt0(X100,X99)
| X99 = X100 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mASymm])]) ).
cnf(c_0_28,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,hypothesis,
aElementOf0(xp,xU),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_30,hypothesis,
aSet0(xU),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,hypothesis,
( aElementOf0(sdtlpdtrp0(xf,xp),xP)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,sdtlpdtrp0(xf,xp)),sdtlpdtrp0(xf,xp))
| ~ aElementOf0(sdtlpdtrp0(xf,xp),xU) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_32,plain,
( sdtlseqdt0(sdtlpdtrp0(X1,X2),sdtlpdtrp0(X1,X3))
| ~ isMonotone0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1))
| ~ aElementOf0(X3,szDzozmdt0(X1))
| ~ sdtlseqdt0(X2,X3)
| ~ aFunction0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,hypothesis,
isMonotone0(xf),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_34,hypothesis,
aFunction0(xf),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_35,hypothesis,
sdtlseqdt0(sdtlpdtrp0(xf,xp),xp),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_36,hypothesis,
szDzozmdt0(xf) = xU,
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_37,negated_conjecture,
~ ( ( ( aElementOf0(xp,szDzozmdt0(xf))
& sdtlpdtrp0(xf,xp) = xp )
| aFixedPointOf0(xp,xf) )
& ( ( ( ! [X1] :
( aElementOf0(X1,xT)
=> sdtlseqdt0(X1,xp) )
| aUpperBoundOfIn0(xp,xT,xS) )
& ! [X1] :
( ( aElementOf0(X1,xS)
& ! [X2] :
( aElementOf0(X2,xT)
=> sdtlseqdt0(X2,X1) )
& aUpperBoundOfIn0(X1,xT,xS) )
=> sdtlseqdt0(xp,X1) ) )
| aSupremumOfIn0(xp,xT,xS) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_38,plain,
! [X148,X149] :
( ~ aFunction0(X148)
| ~ aElementOf0(X149,szDzozmdt0(X148))
| aElementOf0(sdtlpdtrp0(X148,X149),szRzazndt0(X148)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgSort])])]) ).
cnf(c_0_39,plain,
( X1 = X2
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,hypothesis,
aElement0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_41,hypothesis,
( aElementOf0(sdtlpdtrp0(xf,xp),xP)
| ~ aElementOf0(sdtlpdtrp0(xf,xp),xU) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_29]),c_0_36])]) ).
cnf(c_0_42,hypothesis,
aSet0(xP),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_43,negated_conjecture,
! [X174] :
( ( aElementOf0(esk16_0,xS)
| aElementOf0(esk15_0,xT)
| ~ aElementOf0(xp,szDzozmdt0(xf))
| sdtlpdtrp0(xf,xp) != xp )
& ( ~ aElementOf0(X174,xT)
| sdtlseqdt0(X174,esk16_0)
| aElementOf0(esk15_0,xT)
| ~ aElementOf0(xp,szDzozmdt0(xf))
| sdtlpdtrp0(xf,xp) != xp )
& ( aUpperBoundOfIn0(esk16_0,xT,xS)
| aElementOf0(esk15_0,xT)
| ~ aElementOf0(xp,szDzozmdt0(xf))
| sdtlpdtrp0(xf,xp) != xp )
& ( ~ sdtlseqdt0(xp,esk16_0)
| aElementOf0(esk15_0,xT)
| ~ aElementOf0(xp,szDzozmdt0(xf))
| sdtlpdtrp0(xf,xp) != xp )
& ( aElementOf0(esk16_0,xS)
| ~ sdtlseqdt0(esk15_0,xp)
| ~ aElementOf0(xp,szDzozmdt0(xf))
| sdtlpdtrp0(xf,xp) != xp )
& ( ~ aElementOf0(X174,xT)
| sdtlseqdt0(X174,esk16_0)
| ~ sdtlseqdt0(esk15_0,xp)
| ~ aElementOf0(xp,szDzozmdt0(xf))
| sdtlpdtrp0(xf,xp) != xp )
& ( aUpperBoundOfIn0(esk16_0,xT,xS)
| ~ sdtlseqdt0(esk15_0,xp)
| ~ aElementOf0(xp,szDzozmdt0(xf))
| sdtlpdtrp0(xf,xp) != xp )
& ( ~ sdtlseqdt0(xp,esk16_0)
| ~ sdtlseqdt0(esk15_0,xp)
| ~ aElementOf0(xp,szDzozmdt0(xf))
| sdtlpdtrp0(xf,xp) != xp )
& ( aElementOf0(esk16_0,xS)
| ~ aUpperBoundOfIn0(xp,xT,xS)
| ~ aElementOf0(xp,szDzozmdt0(xf))
| sdtlpdtrp0(xf,xp) != xp )
& ( ~ aElementOf0(X174,xT)
| sdtlseqdt0(X174,esk16_0)
| ~ aUpperBoundOfIn0(xp,xT,xS)
| ~ aElementOf0(xp,szDzozmdt0(xf))
| sdtlpdtrp0(xf,xp) != xp )
& ( aUpperBoundOfIn0(esk16_0,xT,xS)
| ~ aUpperBoundOfIn0(xp,xT,xS)
| ~ aElementOf0(xp,szDzozmdt0(xf))
| sdtlpdtrp0(xf,xp) != xp )
& ( ~ sdtlseqdt0(xp,esk16_0)
| ~ aUpperBoundOfIn0(xp,xT,xS)
| ~ aElementOf0(xp,szDzozmdt0(xf))
| sdtlpdtrp0(xf,xp) != xp )
& ( ~ aSupremumOfIn0(xp,xT,xS)
| ~ aElementOf0(xp,szDzozmdt0(xf))
| sdtlpdtrp0(xf,xp) != xp )
& ( aElementOf0(esk16_0,xS)
| aElementOf0(esk15_0,xT)
| ~ aFixedPointOf0(xp,xf) )
& ( ~ aElementOf0(X174,xT)
| sdtlseqdt0(X174,esk16_0)
| aElementOf0(esk15_0,xT)
| ~ aFixedPointOf0(xp,xf) )
& ( aUpperBoundOfIn0(esk16_0,xT,xS)
| aElementOf0(esk15_0,xT)
| ~ aFixedPointOf0(xp,xf) )
& ( ~ sdtlseqdt0(xp,esk16_0)
| aElementOf0(esk15_0,xT)
| ~ aFixedPointOf0(xp,xf) )
& ( aElementOf0(esk16_0,xS)
| ~ sdtlseqdt0(esk15_0,xp)
| ~ aFixedPointOf0(xp,xf) )
& ( ~ aElementOf0(X174,xT)
| sdtlseqdt0(X174,esk16_0)
| ~ sdtlseqdt0(esk15_0,xp)
| ~ aFixedPointOf0(xp,xf) )
& ( aUpperBoundOfIn0(esk16_0,xT,xS)
| ~ sdtlseqdt0(esk15_0,xp)
| ~ aFixedPointOf0(xp,xf) )
& ( ~ sdtlseqdt0(xp,esk16_0)
| ~ sdtlseqdt0(esk15_0,xp)
| ~ aFixedPointOf0(xp,xf) )
& ( aElementOf0(esk16_0,xS)
| ~ aUpperBoundOfIn0(xp,xT,xS)
| ~ aFixedPointOf0(xp,xf) )
& ( ~ aElementOf0(X174,xT)
| sdtlseqdt0(X174,esk16_0)
| ~ aUpperBoundOfIn0(xp,xT,xS)
| ~ aFixedPointOf0(xp,xf) )
& ( aUpperBoundOfIn0(esk16_0,xT,xS)
| ~ aUpperBoundOfIn0(xp,xT,xS)
| ~ aFixedPointOf0(xp,xf) )
& ( ~ sdtlseqdt0(xp,esk16_0)
| ~ aUpperBoundOfIn0(xp,xT,xS)
| ~ aFixedPointOf0(xp,xf) )
& ( ~ aSupremumOfIn0(xp,xT,xS)
| ~ aFixedPointOf0(xp,xf) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])])]) ).
fof(c_0_44,hypothesis,
! [X161] :
( aSet0(xS)
& ( aElementOf0(X161,szDzozmdt0(xf))
| ~ aElementOf0(X161,xS) )
& ( sdtlpdtrp0(xf,X161) = X161
| ~ aElementOf0(X161,xS) )
& ( aFixedPointOf0(X161,xf)
| ~ aElementOf0(X161,xS) )
& ( ~ aElementOf0(X161,szDzozmdt0(xf))
| sdtlpdtrp0(xf,X161) != X161
| aElementOf0(X161,xS) )
& ( ~ aFixedPointOf0(X161,xf)
| aElementOf0(X161,xS) )
& xS = cS1142(xf) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1144])])])]) ).
cnf(c_0_45,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),szRzazndt0(X1))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,hypothesis,
( sdtlpdtrp0(xf,xp) = xp
| ~ sdtlseqdt0(xp,sdtlpdtrp0(xf,xp))
| ~ aElement0(sdtlpdtrp0(xf,xp)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_35]),c_0_40])]) ).
cnf(c_0_47,hypothesis,
( aElement0(sdtlpdtrp0(xf,xp))
| ~ aElementOf0(sdtlpdtrp0(xf,xp),xU) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_41]),c_0_42])]) ).
cnf(c_0_48,negated_conjecture,
( aElementOf0(esk16_0,xS)
| ~ sdtlseqdt0(esk15_0,xp)
| ~ aFixedPointOf0(xp,xf) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_49,hypothesis,
( aFixedPointOf0(X1,xf)
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_50,hypothesis,
( sdtlpdtrp0(xf,X1) = X1
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,negated_conjecture,
( aElementOf0(esk16_0,xS)
| aElementOf0(esk15_0,xT)
| ~ aFixedPointOf0(xp,xf) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,negated_conjecture,
( ~ sdtlseqdt0(xp,esk16_0)
| ~ sdtlseqdt0(esk15_0,xp)
| ~ aFixedPointOf0(xp,xf) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,negated_conjecture,
( aElementOf0(esk15_0,xT)
| ~ sdtlseqdt0(xp,esk16_0)
| ~ aFixedPointOf0(xp,xf) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_54,hypothesis,
( aElementOf0(sdtlpdtrp0(xf,X1),xU)
| ~ aElementOf0(X1,xU) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_26]),c_0_34]),c_0_36])]) ).
cnf(c_0_55,hypothesis,
( aElementOf0(X1,szDzozmdt0(xf))
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_56,hypothesis,
( sdtlpdtrp0(xf,xp) = xp
| ~ sdtlseqdt0(xp,sdtlpdtrp0(xf,xp))
| ~ aElementOf0(sdtlpdtrp0(xf,xp),xU) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_57,hypothesis,
( sdtlseqdt0(xp,X1)
| ~ aElementOf0(X1,xP) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_58,negated_conjecture,
( sdtlseqdt0(X1,esk16_0)
| ~ aElementOf0(X1,xT)
| ~ sdtlseqdt0(esk15_0,xp)
| ~ aFixedPointOf0(xp,xf) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_59,negated_conjecture,
( sdtlseqdt0(X1,esk16_0)
| aElementOf0(esk15_0,xT)
| ~ aElementOf0(X1,xT)
| ~ aFixedPointOf0(xp,xf) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_60,negated_conjecture,
( aElementOf0(esk16_0,xS)
| ~ sdtlseqdt0(esk15_0,xp)
| ~ aElementOf0(xp,xS) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_61,hypothesis,
( sdtlseqdt0(X1,xp)
| ~ aElementOf0(xp,xS)
| ~ aElementOf0(X1,xT) ),
inference(spm,[status(thm)],[c_0_20,c_0_50]) ).
cnf(c_0_62,negated_conjecture,
( aElementOf0(esk16_0,xS)
| aElementOf0(esk15_0,xT)
| ~ aElementOf0(xp,xS) ),
inference(spm,[status(thm)],[c_0_51,c_0_49]) ).
cnf(c_0_63,negated_conjecture,
( ~ sdtlseqdt0(xp,esk16_0)
| ~ sdtlseqdt0(esk15_0,xp)
| ~ aElementOf0(xp,xS) ),
inference(spm,[status(thm)],[c_0_52,c_0_49]) ).
cnf(c_0_64,negated_conjecture,
( aElementOf0(esk15_0,xT)
| ~ sdtlseqdt0(xp,esk16_0)
| ~ aElementOf0(xp,xS) ),
inference(spm,[status(thm)],[c_0_53,c_0_49]) ).
fof(c_0_65,plain,
! [X98] :
( ~ aElement0(X98)
| sdtlseqdt0(X98,X98) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mARefl])]) ).
cnf(c_0_66,hypothesis,
( aElement0(sdtlpdtrp0(xf,X1))
| ~ aElementOf0(X1,xU) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_54]),c_0_30])]) ).
cnf(c_0_67,hypothesis,
( aElementOf0(X1,xU)
| ~ aElementOf0(X1,xS) ),
inference(rw,[status(thm)],[c_0_55,c_0_36]) ).
cnf(c_0_68,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,szDzozmdt0(xf))
| sdtlpdtrp0(xf,X1) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_69,hypothesis,
( sdtlpdtrp0(xf,xp) = xp
| ~ aElementOf0(sdtlpdtrp0(xf,xp),xU) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_41]) ).
cnf(c_0_70,hypothesis,
( sdtlseqdt0(X1,esk16_0)
| ~ sdtlseqdt0(esk15_0,xp)
| ~ aElementOf0(xp,xS)
| ~ aElementOf0(X1,xT) ),
inference(spm,[status(thm)],[c_0_58,c_0_49]) ).
cnf(c_0_71,hypothesis,
( sdtlseqdt0(X1,esk16_0)
| aElementOf0(esk15_0,xT)
| ~ aElementOf0(xp,xS)
| ~ aElementOf0(X1,xT) ),
inference(spm,[status(thm)],[c_0_59,c_0_49]) ).
cnf(c_0_72,negated_conjecture,
( aElementOf0(esk16_0,xS)
| ~ aElementOf0(xp,xS) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_73,negated_conjecture,
( ~ sdtlseqdt0(xp,esk16_0)
| ~ aElementOf0(xp,xS) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_61]),c_0_64]) ).
cnf(c_0_74,plain,
( sdtlseqdt0(X1,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_75,hypothesis,
( aElement0(X1)
| ~ aElementOf0(X1,xS) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_50]),c_0_67]) ).
cnf(c_0_76,hypothesis,
( aElementOf0(X1,xS)
| sdtlpdtrp0(xf,X1) != X1
| ~ aElementOf0(X1,xU) ),
inference(rw,[status(thm)],[c_0_68,c_0_36]) ).
cnf(c_0_77,hypothesis,
sdtlpdtrp0(xf,xp) = xp,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_54]),c_0_29])]) ).
cnf(c_0_78,hypothesis,
( sdtlseqdt0(X1,esk16_0)
| ~ aElementOf0(xp,xS)
| ~ aElementOf0(X1,xT) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_61]),c_0_71]) ).
cnf(c_0_79,hypothesis,
( aElementOf0(esk16_0,xU)
| ~ aElementOf0(xp,xS) ),
inference(spm,[status(thm)],[c_0_67,c_0_72]) ).
cnf(c_0_80,hypothesis,
( ~ aElementOf0(xp,xS)
| ~ aElementOf0(esk16_0,xP) ),
inference(spm,[status(thm)],[c_0_73,c_0_57]) ).
cnf(c_0_81,hypothesis,
( sdtlseqdt0(X1,X1)
| ~ aElementOf0(X1,xS) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_82,hypothesis,
aElementOf0(xp,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_29])]) ).
cnf(c_0_83,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_84,hypothesis,
( ~ sdtlseqdt0(sdtlpdtrp0(xf,esk16_0),esk16_0)
| ~ aElementOf0(esk13_1(esk16_0),xT)
| ~ aElementOf0(xp,xS) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_78]),c_0_79]),c_0_80]) ).
cnf(c_0_85,hypothesis,
( aElementOf0(esk13_1(X1),xT)
| aElementOf0(X1,xP)
| ~ aElementOf0(X1,xS) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_50]),c_0_67]),c_0_81]) ).
cnf(c_0_86,negated_conjecture,
aElementOf0(esk16_0,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_82])]) ).
cnf(c_0_87,hypothesis,
~ aElementOf0(esk16_0,xP),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_82])]) ).
cnf(c_0_88,negated_conjecture,
( aElement0(esk16_0)
| ~ aElementOf0(xp,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_72]),c_0_83])]) ).
cnf(c_0_89,hypothesis,
( ~ sdtlseqdt0(sdtlpdtrp0(xf,esk16_0),esk16_0)
| ~ aElementOf0(esk13_1(esk16_0),xT) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_82])]) ).
cnf(c_0_90,negated_conjecture,
aElementOf0(esk13_1(esk16_0),xT),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).
cnf(c_0_91,negated_conjecture,
( sdtlseqdt0(esk16_0,esk16_0)
| ~ aElementOf0(xp,xS) ),
inference(spm,[status(thm)],[c_0_74,c_0_88]) ).
cnf(c_0_92,hypothesis,
~ sdtlseqdt0(sdtlpdtrp0(xf,esk16_0),esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90])]) ).
cnf(c_0_93,negated_conjecture,
sdtlseqdt0(esk16_0,esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_82])]) ).
cnf(c_0_94,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_50]),c_0_93]),c_0_86])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT387+4 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n004.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 21:49:32 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.50/1.79 % Version : CSE_E---1.7
% 1.50/1.79 % Problem : theBenchmark.p
% 1.50/1.79 % SZS status Theorem for theBenchmark.p
% 1.50/1.79 % SZS output start CNFRefutation
% See solution above
% 1.50/1.79 % Total time : 1.373s
%------------------------------------------------------------------------------