TSTP Solution File: LAT386+4 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT386+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:09:04 EDT 2023
% Result : Theorem 10.71s 1.79s
% Output : CNFRefutation 10.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 92 ( 17 unt; 0 def)
% Number of atoms : 464 ( 18 equ)
% Maximal formula atoms : 40 ( 5 avg)
% Number of connectives : 530 ( 158 ~; 181 |; 140 &)
% ( 1 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-3 aty)
% Number of variables : 126 ( 0 sgn; 72 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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/tmp/tmp.A5p9hpRrEh/E---3.1_25291.p',m__1123) ).
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/tmp/tmp.A5p9hpRrEh/E---3.1_25291.p',m__1144) ).
fof(m__1173,hypothesis,
( aSet0(xT)
& ! [X1] :
( aElementOf0(X1,xT)
=> aElementOf0(X1,xS) )
& aSubsetOf0(xT,xS) ),
file('/export/starexec/sandbox/tmp/tmp.A5p9hpRrEh/E---3.1_25291.p',m__1173) ).
fof(m__,conjecture,
( ( ! [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/tmp/tmp.A5p9hpRrEh/E---3.1_25291.p',m__) ).
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/tmp/tmp.A5p9hpRrEh/E---3.1_25291.p',m__1261) ).
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/tmp/tmp.A5p9hpRrEh/E---3.1_25291.p',m__1244) ).
fof(mImgSort,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElementOf0(sdtlpdtrp0(X1,X2),szRzazndt0(X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.A5p9hpRrEh/E---3.1_25291.p',mImgSort) ).
fof(mTrans,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.A5p9hpRrEh/E---3.1_25291.p',mTrans) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.A5p9hpRrEh/E---3.1_25291.p',mEOfElem) ).
fof(c_0_9,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_10,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_9]) ).
fof(c_0_11,hypothesis,
! [X20,X22,X23] :
( aSet0(xU)
& ( aElementOf0(esk5_1(X20),X20)
| ~ aSet0(X20)
| epred1_1(X20) )
& ( ~ aElementOf0(esk5_1(X20),xU)
| ~ aSet0(X20)
| epred1_1(X20) )
& ( ~ aSubsetOf0(X20,xU)
| epred1_1(X20) )
& aCompleteLattice0(xU)
& aFunction0(xf)
& ( ~ aElementOf0(X22,szDzozmdt0(xf))
| ~ aElementOf0(X23,szDzozmdt0(xf))
| ~ sdtlseqdt0(X22,X23)
| sdtlseqdt0(sdtlpdtrp0(xf,X22),sdtlpdtrp0(xf,X23)) )
& 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_10])])])])]) ).
fof(c_0_12,hypothesis,
! [X41] :
( aSet0(xS)
& ( aElementOf0(X41,szDzozmdt0(xf))
| ~ aElementOf0(X41,xS) )
& ( sdtlpdtrp0(xf,X41) = X41
| ~ aElementOf0(X41,xS) )
& ( aFixedPointOf0(X41,xf)
| ~ aElementOf0(X41,xS) )
& ( ~ aElementOf0(X41,szDzozmdt0(xf))
| sdtlpdtrp0(xf,X41) != X41
| aElementOf0(X41,xS) )
& ( ~ aFixedPointOf0(X41,xf)
| aElementOf0(X41,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_13,hypothesis,
szDzozmdt0(xf) = szRzazndt0(xf),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,hypothesis,
szRzazndt0(xf) = xU,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,hypothesis,
( aElementOf0(X1,szDzozmdt0(xf))
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,hypothesis,
szDzozmdt0(xf) = xU,
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_17,hypothesis,
! [X31] :
( aSet0(xT)
& ( ~ aElementOf0(X31,xT)
| aElementOf0(X31,xS) )
& aSubsetOf0(xT,xS) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1173])])]) ).
fof(c_0_18,negated_conjecture,
~ ( ( ! [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) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_19,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]) ).
cnf(c_0_20,hypothesis,
( aElementOf0(X1,xU)
| ~ aElementOf0(X1,xS) ),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,xT) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_22,negated_conjecture,
( ( aElementOf0(esk2_0,xT)
| aElementOf0(esk1_0,xP) )
& ( ~ sdtlseqdt0(esk2_0,sdtlpdtrp0(xf,xp))
| aElementOf0(esk1_0,xP) )
& ( ~ aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)
| aElementOf0(esk1_0,xP) )
& ( aElementOf0(esk2_0,xT)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),esk1_0) )
& ( ~ sdtlseqdt0(esk2_0,sdtlpdtrp0(xf,xp))
| ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),esk1_0) )
& ( ~ aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),esk1_0) )
& ( aElementOf0(esk2_0,xT)
| ~ aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU) )
& ( ~ sdtlseqdt0(esk2_0,sdtlpdtrp0(xf,xp))
| ~ aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU) )
& ( ~ aUpperBoundOfIn0(sdtlpdtrp0(xf,xp),xT,xU)
| ~ aLowerBoundOfIn0(sdtlpdtrp0(xf,xp),xP,xU) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_23,hypothesis,
! [X28,X29] :
( aElementOf0(xp,xU)
& ( ~ aElementOf0(X28,xP)
| sdtlseqdt0(xp,X28) )
& aLowerBoundOfIn0(xp,xP,xU)
& ( aElementOf0(esk7_1(X29),xP)
| ~ aElementOf0(X29,xU)
| sdtlseqdt0(X29,xp) )
& ( ~ sdtlseqdt0(X29,esk7_1(X29))
| ~ aElementOf0(X29,xU)
| sdtlseqdt0(X29,xp) )
& ( ~ aLowerBoundOfIn0(X29,xP,xU)
| sdtlseqdt0(X29,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_19])])])])]) ).
fof(c_0_24,hypothesis,
! [X24,X25,X26] :
( aSet0(xP)
& ( aElementOf0(X24,xU)
| ~ aElementOf0(X24,xP) )
& ( sdtlseqdt0(sdtlpdtrp0(xf,X24),X24)
| ~ aElementOf0(X24,xP) )
& ( ~ aElementOf0(X25,xT)
| sdtlseqdt0(X25,X24)
| ~ aElementOf0(X24,xP) )
& ( aUpperBoundOfIn0(X24,xT,xU)
| ~ aElementOf0(X24,xP) )
& ( aElementOf0(esk6_1(X26),xT)
| ~ aElementOf0(X26,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X26),X26)
| aElementOf0(X26,xP) )
& ( ~ sdtlseqdt0(esk6_1(X26),X26)
| ~ aElementOf0(X26,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X26),X26)
| aElementOf0(X26,xP) )
& ( ~ aUpperBoundOfIn0(X26,xT,xU)
| ~ aElementOf0(X26,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,X26),X26)
| aElementOf0(X26,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])])])])])]) ).
cnf(c_0_25,hypothesis,
( aElementOf0(X1,xU)
| ~ aElementOf0(X1,xT) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( aElementOf0(esk2_0,xT)
| aElementOf0(esk1_0,xP) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,hypothesis,
( sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2))
| ~ aElementOf0(X1,szDzozmdt0(xf))
| ~ aElementOf0(X2,szDzozmdt0(xf))
| ~ sdtlseqdt0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_28,hypothesis,
( sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,esk7_1(X1))
| ~ aElementOf0(X1,xU) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,hypothesis,
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X1,xT)
| ~ aElementOf0(X2,xP) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,hypothesis,
( aElementOf0(esk7_1(X1),xP)
| sdtlseqdt0(X1,xp)
| ~ aElementOf0(X1,xU) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,negated_conjecture,
( aElementOf0(esk1_0,xP)
| aElementOf0(esk2_0,xU) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_32,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) ) ) ),
inference(split_equiv,[status(thm)],[c_0_9]) ).
cnf(c_0_33,hypothesis,
( aElementOf0(esk5_1(X1),X1)
| epred1_1(X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_34,hypothesis,
aSet0(xT),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_35,plain,
! [X32,X33] :
( ~ aFunction0(X32)
| ~ aElementOf0(X33,szDzozmdt0(X32))
| aElementOf0(sdtlpdtrp0(X32,X33),szRzazndt0(X32)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mImgSort])])]) ).
cnf(c_0_36,hypothesis,
( sdtlseqdt0(sdtlpdtrp0(xf,X1),sdtlpdtrp0(xf,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,xU)
| ~ aElementOf0(X1,xU) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_16]),c_0_16]) ).
cnf(c_0_37,hypothesis,
( sdtlpdtrp0(xf,X1) = X1
| ~ aElementOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_38,hypothesis,
( sdtlseqdt0(X1,xp)
| ~ aElementOf0(esk7_1(X1),xP)
| ~ aElementOf0(X1,xT) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_25]) ).
cnf(c_0_39,negated_conjecture,
( sdtlseqdt0(esk2_0,xp)
| aElementOf0(esk7_1(esk2_0),xP)
| aElementOf0(esk1_0,xP) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_40,plain,
! [X87,X89,X90,X93,X94] :
( ( aElementOf0(esk16_1(X87),xU)
| ~ epred1_1(X87) )
& ( ~ aElementOf0(X89,X87)
| sdtlseqdt0(esk16_1(X87),X89)
| ~ epred1_1(X87) )
& ( aLowerBoundOfIn0(esk16_1(X87),X87,xU)
| ~ epred1_1(X87) )
& ( aElementOf0(esk17_2(X87,X90),X87)
| ~ aElementOf0(X90,xU)
| sdtlseqdt0(X90,esk16_1(X87))
| ~ epred1_1(X87) )
& ( ~ sdtlseqdt0(X90,esk17_2(X87,X90))
| ~ aElementOf0(X90,xU)
| sdtlseqdt0(X90,esk16_1(X87))
| ~ epred1_1(X87) )
& ( ~ aLowerBoundOfIn0(X90,X87,xU)
| sdtlseqdt0(X90,esk16_1(X87))
| ~ epred1_1(X87) )
& ( aInfimumOfIn0(esk16_1(X87),X87,xU)
| ~ epred1_1(X87) )
& ( aElementOf0(esk18_1(X87),xU)
| ~ epred1_1(X87) )
& ( ~ aElementOf0(X93,X87)
| sdtlseqdt0(X93,esk18_1(X87))
| ~ epred1_1(X87) )
& ( aUpperBoundOfIn0(esk18_1(X87),X87,xU)
| ~ epred1_1(X87) )
& ( aElementOf0(esk19_2(X87,X94),X87)
| ~ aElementOf0(X94,xU)
| sdtlseqdt0(esk18_1(X87),X94)
| ~ epred1_1(X87) )
& ( ~ sdtlseqdt0(esk19_2(X87,X94),X94)
| ~ aElementOf0(X94,xU)
| sdtlseqdt0(esk18_1(X87),X94)
| ~ epred1_1(X87) )
& ( ~ aUpperBoundOfIn0(X94,X87,xU)
| sdtlseqdt0(esk18_1(X87),X94)
| ~ epred1_1(X87) )
& ( aSupremumOfIn0(esk18_1(X87),X87,xU)
| ~ epred1_1(X87) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])])])]) ).
cnf(c_0_41,hypothesis,
( epred1_1(xT)
| aElementOf0(esk5_1(xT),xT) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_42,plain,
! [X45,X46,X47] :
( ~ aElement0(X45)
| ~ aElement0(X46)
| ~ aElement0(X47)
| ~ sdtlseqdt0(X45,X46)
| ~ sdtlseqdt0(X46,X47)
| sdtlseqdt0(X45,X47) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTrans])]) ).
fof(c_0_43,plain,
! [X60,X61] :
( ~ aSet0(X60)
| ~ aElementOf0(X61,X60)
| aElement0(X61) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
cnf(c_0_44,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),szRzazndt0(X1))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,hypothesis,
aFunction0(xf),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_46,negated_conjecture,
( aElementOf0(esk1_0,xP)
| ~ sdtlseqdt0(esk2_0,sdtlpdtrp0(xf,xp)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_47,hypothesis,
( sdtlseqdt0(X1,sdtlpdtrp0(xf,X2))
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,xU)
| ~ aElementOf0(X1,xS) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_20]) ).
cnf(c_0_48,hypothesis,
aElementOf0(xp,xU),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_49,negated_conjecture,
( sdtlseqdt0(esk2_0,xp)
| aElementOf0(esk1_0,xP) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_26]) ).
cnf(c_0_50,plain,
( aElementOf0(esk18_1(X1),xU)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_51,hypothesis,
( epred1_1(X1)
| ~ aElementOf0(esk5_1(X1),xU)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_52,hypothesis,
( epred1_1(xT)
| aElementOf0(esk5_1(xT),xU) ),
inference(spm,[status(thm)],[c_0_25,c_0_41]) ).
cnf(c_0_53,plain,
( sdtlseqdt0(X1,X3)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_54,hypothesis,
( sdtlseqdt0(sdtlpdtrp0(xf,X1),X1)
| ~ aElementOf0(X1,xP) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_55,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_56,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_44,c_0_14]),c_0_45]),c_0_16])]) ).
cnf(c_0_57,hypothesis,
aSet0(xU),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_58,negated_conjecture,
( aElementOf0(esk1_0,xP)
| ~ aElementOf0(esk2_0,xS) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]),c_0_49]) ).
cnf(c_0_59,plain,
( sdtlseqdt0(esk18_1(X2),X1)
| ~ aUpperBoundOfIn0(X1,X2,xU)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_60,plain,
( sdtlseqdt0(esk18_1(X1),xp)
| aElementOf0(esk7_1(esk18_1(X1)),xP)
| ~ epred1_1(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_50]) ).
cnf(c_0_61,hypothesis,
epred1_1(xT),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_34])]) ).
cnf(c_0_62,hypothesis,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X1,sdtlpdtrp0(xf,X2))
| ~ aElementOf0(X2,xP)
| ~ aElement0(sdtlpdtrp0(xf,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_63,hypothesis,
( aElement0(sdtlpdtrp0(xf,X1))
| ~ aElementOf0(X1,xU) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).
cnf(c_0_64,hypothesis,
( aElementOf0(X1,xU)
| ~ aElementOf0(X1,xP) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_65,hypothesis,
aElementOf0(esk1_0,xP),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_21]),c_0_26]) ).
cnf(c_0_66,hypothesis,
aSet0(xP),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_67,hypothesis,
( sdtlseqdt0(esk18_1(X1),xp)
| ~ epred1_1(X1)
| ~ aUpperBoundOfIn0(esk7_1(esk18_1(X1)),X1,xU) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_59]),c_0_50]) ).
cnf(c_0_68,hypothesis,
( aUpperBoundOfIn0(X1,xT,xU)
| ~ aElementOf0(X1,xP) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_69,hypothesis,
( sdtlseqdt0(esk18_1(xT),xp)
| aElementOf0(esk7_1(esk18_1(xT)),xP) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_70,hypothesis,
( sdtlseqdt0(sdtlpdtrp0(xf,X1),X2)
| ~ sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,xP)
| ~ aElementOf0(X1,xU)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_36]),c_0_63]),c_0_63]),c_0_64]) ).
cnf(c_0_71,hypothesis,
aElement0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_65]),c_0_66])]) ).
cnf(c_0_72,hypothesis,
sdtlseqdt0(esk18_1(xT),xp),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_61])]),c_0_69]) ).
cnf(c_0_73,hypothesis,
aElement0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_48]),c_0_57])]) ).
cnf(c_0_74,negated_conjecture,
( ~ sdtlseqdt0(esk2_0,sdtlpdtrp0(xf,xp))
| ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_75,hypothesis,
( sdtlseqdt0(sdtlpdtrp0(xf,X1),esk1_0)
| ~ sdtlseqdt0(X1,esk1_0)
| ~ aElementOf0(X1,xU) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_65]),c_0_71])]) ).
cnf(c_0_76,hypothesis,
( sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,esk18_1(xT))
| ~ aElement0(esk18_1(xT))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_72]),c_0_73])]) ).
cnf(c_0_77,plain,
( aElement0(esk18_1(X1))
| ~ epred1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_50]),c_0_57])]) ).
cnf(c_0_78,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_79,negated_conjecture,
( aElementOf0(esk2_0,xT)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,xp),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_80,negated_conjecture,
( ~ sdtlseqdt0(esk2_0,sdtlpdtrp0(xf,xp))
| ~ sdtlseqdt0(xp,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_48])]) ).
cnf(c_0_81,plain,
( sdtlseqdt0(X1,xp)
| ~ sdtlseqdt0(X1,esk18_1(xT))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_61])]) ).
cnf(c_0_82,plain,
( sdtlseqdt0(X1,esk18_1(X2))
| ~ aElementOf0(X1,X2)
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_83,hypothesis,
( aElement0(X1)
| ~ aElementOf0(X1,xT) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_21]),c_0_78])]) ).
cnf(c_0_84,negated_conjecture,
( aElementOf0(esk2_0,xT)
| ~ sdtlseqdt0(xp,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_75]),c_0_48])]) ).
cnf(c_0_85,hypothesis,
( sdtlseqdt0(xp,X1)
| ~ aElementOf0(X1,xP) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_86,hypothesis,
( ~ sdtlseqdt0(xp,esk1_0)
| ~ sdtlseqdt0(esk2_0,xp)
| ~ aElementOf0(esk2_0,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_47]),c_0_48])]) ).
cnf(c_0_87,plain,
( sdtlseqdt0(X1,xp)
| ~ aElementOf0(X1,xT) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_61])]),c_0_83]) ).
cnf(c_0_88,hypothesis,
aElementOf0(esk2_0,xT),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_65])]) ).
cnf(c_0_89,plain,
( ~ sdtlseqdt0(xp,esk1_0)
| ~ aElementOf0(esk2_0,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]) ).
cnf(c_0_90,hypothesis,
~ aElementOf0(esk2_0,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_85]),c_0_65])]) ).
cnf(c_0_91,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_21]),c_0_88])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : LAT386+4 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.12 % Command : run_E %s %d THM
% 0.09/0.32 % Computer : n013.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 2400
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Mon Oct 2 10:24:59 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.44 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/tmp/tmp.A5p9hpRrEh/E---3.1_25291.p
% 10.71/1.79 # Version: 3.1pre001
% 10.71/1.79 # Preprocessing class: FSLSSMSSSSSNFFN.
% 10.71/1.79 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.71/1.79 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.71/1.79 # Starting new_bool_3 with 300s (1) cores
% 10.71/1.79 # Starting new_bool_1 with 300s (1) cores
% 10.71/1.79 # Starting sh5l with 300s (1) cores
% 10.71/1.79 # sh5l with pid 25372 completed with status 0
% 10.71/1.79 # Result found by sh5l
% 10.71/1.79 # Preprocessing class: FSLSSMSSSSSNFFN.
% 10.71/1.79 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.71/1.79 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.71/1.79 # Starting new_bool_3 with 300s (1) cores
% 10.71/1.79 # Starting new_bool_1 with 300s (1) cores
% 10.71/1.79 # Starting sh5l with 300s (1) cores
% 10.71/1.79 # SinE strategy is gf500_gu_R04_F100_L20000
% 10.71/1.79 # Search class: FGHSF-FFMM31-SFFFFFNN
% 10.71/1.79 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 10.71/1.79 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 163s (1) cores
% 10.71/1.79 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with pid 25380 completed with status 0
% 10.71/1.79 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 10.71/1.79 # Preprocessing class: FSLSSMSSSSSNFFN.
% 10.71/1.79 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.71/1.79 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 10.71/1.79 # Starting new_bool_3 with 300s (1) cores
% 10.71/1.79 # Starting new_bool_1 with 300s (1) cores
% 10.71/1.79 # Starting sh5l with 300s (1) cores
% 10.71/1.79 # SinE strategy is gf500_gu_R04_F100_L20000
% 10.71/1.79 # Search class: FGHSF-FFMM31-SFFFFFNN
% 10.71/1.79 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 10.71/1.79 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 163s (1) cores
% 10.71/1.79 # Preprocessing time : 0.006 s
% 10.71/1.79 # Presaturation interreduction done
% 10.71/1.79
% 10.71/1.79 # Proof found!
% 10.71/1.79 # SZS status Theorem
% 10.71/1.79 # SZS output start CNFRefutation
% See solution above
% 10.71/1.79 # Parsed axioms : 29
% 10.71/1.79 # Removed by relevancy pruning/SinE : 1
% 10.71/1.79 # Initial clauses : 111
% 10.71/1.79 # Removed in clause preprocessing : 4
% 10.71/1.79 # Initial clauses in saturation : 107
% 10.71/1.79 # Processed clauses : 8853
% 10.71/1.79 # ...of these trivial : 18
% 10.71/1.79 # ...subsumed : 6142
% 10.71/1.79 # ...remaining for further processing : 2693
% 10.71/1.79 # Other redundant clauses eliminated : 1
% 10.71/1.79 # Clauses deleted for lack of memory : 0
% 10.71/1.79 # Backward-subsumed : 283
% 10.71/1.79 # Backward-rewritten : 122
% 10.71/1.79 # Generated clauses : 25916
% 10.71/1.79 # ...of the previous two non-redundant : 23134
% 10.71/1.79 # ...aggressively subsumed : 0
% 10.71/1.79 # Contextual simplify-reflections : 481
% 10.71/1.79 # Paramodulations : 25915
% 10.71/1.79 # Factorizations : 0
% 10.71/1.79 # NegExts : 0
% 10.71/1.79 # Equation resolutions : 1
% 10.71/1.79 # Total rewrite steps : 18516
% 10.71/1.79 # Propositional unsat checks : 0
% 10.71/1.79 # Propositional check models : 0
% 10.71/1.79 # Propositional check unsatisfiable : 0
% 10.71/1.79 # Propositional clauses : 0
% 10.71/1.79 # Propositional clauses after purity: 0
% 10.71/1.79 # Propositional unsat core size : 0
% 10.71/1.79 # Propositional preprocessing time : 0.000
% 10.71/1.79 # Propositional encoding time : 0.000
% 10.71/1.79 # Propositional solver time : 0.000
% 10.71/1.79 # Success case prop preproc time : 0.000
% 10.71/1.79 # Success case prop encoding time : 0.000
% 10.71/1.79 # Success case prop solver time : 0.000
% 10.71/1.79 # Current number of processed clauses : 2180
% 10.71/1.79 # Positive orientable unit clauses : 54
% 10.71/1.79 # Positive unorientable unit clauses: 0
% 10.71/1.79 # Negative unit clauses : 5
% 10.71/1.79 # Non-unit-clauses : 2121
% 10.71/1.79 # Current number of unprocessed clauses: 13797
% 10.71/1.79 # ...number of literals in the above : 73934
% 10.71/1.79 # Current number of archived formulas : 0
% 10.71/1.79 # Current number of archived clauses : 512
% 10.71/1.79 # Clause-clause subsumption calls (NU) : 915993
% 10.71/1.79 # Rec. Clause-clause subsumption calls : 268688
% 10.71/1.79 # Non-unit clause-clause subsumptions : 5620
% 10.71/1.79 # Unit Clause-clause subsumption calls : 13021
% 10.71/1.79 # Rewrite failures with RHS unbound : 0
% 10.71/1.79 # BW rewrite match attempts : 27
% 10.71/1.79 # BW rewrite match successes : 27
% 10.71/1.79 # Condensation attempts : 0
% 10.71/1.79 # Condensation successes : 0
% 10.71/1.79 # Termbank termtop insertions : 512374
% 10.71/1.79
% 10.71/1.79 # -------------------------------------------------
% 10.71/1.79 # User time : 1.297 s
% 10.71/1.79 # System time : 0.020 s
% 10.71/1.79 # Total time : 1.318 s
% 10.71/1.79 # Maximum resident set size: 2076 pages
% 10.71/1.79
% 10.71/1.79 # -------------------------------------------------
% 10.71/1.79 # User time : 1.299 s
% 10.71/1.79 # System time : 0.023 s
% 10.71/1.79 # Total time : 1.321 s
% 10.71/1.79 # Maximum resident set size: 1728 pages
% 10.71/1.79 % E---3.1 exiting
% 10.71/1.79 % E---3.1 exiting
%------------------------------------------------------------------------------