TSTP Solution File: NUM537+1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUM537+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 : Sat May 4 08:55:13 EDT 2024
% Result : Theorem 18.18s 2.85s
% Output : CNFRefutation 18.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 8
% Syntax : Number of formulae : 86 ( 13 unt; 0 def)
% Number of atoms : 395 ( 54 equ)
% Maximal formula atoms : 54 ( 4 avg)
% Number of connectives : 534 ( 225 ~; 256 |; 37 &)
% ( 7 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 140 ( 0 sgn 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.p0XHM5UbuE/E---3.1_1821.p',mDefSub) ).
fof(mDefCons,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtpldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X4 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.p0XHM5UbuE/E---3.1_1821.p',mDefCons) ).
fof(m__679,hypothesis,
( aElement0(xx)
& aSet0(xS) ),
file('/export/starexec/sandbox/tmp/tmp.p0XHM5UbuE/E---3.1_1821.p',m__679) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.p0XHM5UbuE/E---3.1_1821.p',mEOfElem) ).
fof(mSubTrans,axiom,
! [X1,X2,X3] :
( ( aSet0(X1)
& aSet0(X2)
& aSet0(X3) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X3) )
=> aSubsetOf0(X1,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.p0XHM5UbuE/E---3.1_1821.p',mSubTrans) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.p0XHM5UbuE/E---3.1_1821.p',mDefDiff) ).
fof(m__679_02,hypothesis,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox/tmp/tmp.p0XHM5UbuE/E---3.1_1821.p',m__679_02) ).
fof(m__,conjecture,
( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
& aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
file('/export/starexec/sandbox/tmp/tmp.p0XHM5UbuE/E---3.1_1821.p',m__) ).
fof(c_0_8,plain,
! [X17,X18,X19,X20] :
( ( aSet0(X18)
| ~ aSubsetOf0(X18,X17)
| ~ aSet0(X17) )
& ( ~ aElementOf0(X19,X18)
| aElementOf0(X19,X17)
| ~ aSubsetOf0(X18,X17)
| ~ aSet0(X17) )
& ( aElementOf0(esk2_2(X17,X20),X20)
| ~ aSet0(X20)
| aSubsetOf0(X20,X17)
| ~ aSet0(X17) )
& ( ~ aElementOf0(esk2_2(X17,X20),X17)
| ~ aSet0(X20)
| aSubsetOf0(X20,X17)
| ~ aSet0(X17) ) ),
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)],[mDefSub])])])])])])]) ).
fof(c_0_9,plain,
! [X30,X31,X32,X33,X34,X35] :
( ( aSet0(X32)
| X32 != sdtpldt0(X30,X31)
| ~ aSet0(X30)
| ~ aElement0(X31) )
& ( aElement0(X33)
| ~ aElementOf0(X33,X32)
| X32 != sdtpldt0(X30,X31)
| ~ aSet0(X30)
| ~ aElement0(X31) )
& ( aElementOf0(X33,X30)
| X33 = X31
| ~ aElementOf0(X33,X32)
| X32 != sdtpldt0(X30,X31)
| ~ aSet0(X30)
| ~ aElement0(X31) )
& ( ~ aElementOf0(X34,X30)
| ~ aElement0(X34)
| aElementOf0(X34,X32)
| X32 != sdtpldt0(X30,X31)
| ~ aSet0(X30)
| ~ aElement0(X31) )
& ( X34 != X31
| ~ aElement0(X34)
| aElementOf0(X34,X32)
| X32 != sdtpldt0(X30,X31)
| ~ aSet0(X30)
| ~ aElement0(X31) )
& ( ~ aElementOf0(esk3_3(X30,X31,X35),X30)
| ~ aElement0(esk3_3(X30,X31,X35))
| ~ aElementOf0(esk3_3(X30,X31,X35),X35)
| ~ aSet0(X35)
| X35 = sdtpldt0(X30,X31)
| ~ aSet0(X30)
| ~ aElement0(X31) )
& ( esk3_3(X30,X31,X35) != X31
| ~ aElement0(esk3_3(X30,X31,X35))
| ~ aElementOf0(esk3_3(X30,X31,X35),X35)
| ~ aSet0(X35)
| X35 = sdtpldt0(X30,X31)
| ~ aSet0(X30)
| ~ aElement0(X31) )
& ( aElement0(esk3_3(X30,X31,X35))
| aElementOf0(esk3_3(X30,X31,X35),X35)
| ~ aSet0(X35)
| X35 = sdtpldt0(X30,X31)
| ~ aSet0(X30)
| ~ aElement0(X31) )
& ( aElementOf0(esk3_3(X30,X31,X35),X30)
| esk3_3(X30,X31,X35) = X31
| aElementOf0(esk3_3(X30,X31,X35),X35)
| ~ aSet0(X35)
| X35 = sdtpldt0(X30,X31)
| ~ aSet0(X30)
| ~ aElement0(X31) ) ),
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)],[mDefCons])])])])])])]) ).
cnf(c_0_10,plain,
( aElementOf0(esk2_2(X1,X2),X2)
| aSubsetOf0(X2,X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[m__679]) ).
cnf(c_0_12,plain,
( aSet0(X1)
| X1 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X7,X8] :
( ~ aSet0(X7)
| ~ aElementOf0(X8,X7)
| aElement0(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_14,hypothesis,
( aSubsetOf0(xS,X1)
| aElementOf0(esk2_2(X1,xS),xS)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_12]) ).
cnf(c_0_16,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aElement0(X1)
| X3 != sdtpldt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,hypothesis,
( aSubsetOf0(xS,sdtpldt0(X1,X2))
| aElementOf0(esk2_2(sdtpldt0(X1,X2),xS),xS)
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,hypothesis,
aElement0(xx),
inference(split_conjunct,[status(thm)],[m__679]) ).
fof(c_0_20,plain,
! [X27,X28,X29] :
( ~ aSet0(X27)
| ~ aSet0(X28)
| ~ aSet0(X29)
| ~ aSubsetOf0(X27,X28)
| ~ aSubsetOf0(X28,X29)
| aSubsetOf0(X27,X29) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubTrans])])]) ).
cnf(c_0_21,plain,
( aSubsetOf0(X2,X1)
| ~ aElementOf0(esk2_2(X1,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,plain,
( aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_16,c_0_17])]) ).
cnf(c_0_23,hypothesis,
( aSubsetOf0(xS,sdtpldt0(X1,xx))
| aElementOf0(esk2_2(sdtpldt0(X1,xx),xS),xS)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
( aSubsetOf0(X1,X3)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
( aSet0(X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_26,plain,
( aSubsetOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(esk2_2(sdtpldt0(X2,X3),X1),X2)
| ~ aElement0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_15]) ).
cnf(c_0_27,hypothesis,
( aSubsetOf0(xS,sdtpldt0(xS,xx))
| aElementOf0(esk2_2(sdtpldt0(xS,xx),xS),xS) ),
inference(spm,[status(thm)],[c_0_23,c_0_11]) ).
cnf(c_0_28,plain,
( aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X3,X2)
| ~ aSubsetOf0(X1,X3)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_24,c_0_25]),c_0_25]) ).
cnf(c_0_29,hypothesis,
aSubsetOf0(xS,sdtpldt0(xS,xx)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_19]),c_0_11])]) ).
cnf(c_0_30,hypothesis,
( aSubsetOf0(X1,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X1,xS)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_31,plain,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[mDefDiff]) ).
cnf(c_0_32,hypothesis,
( aSubsetOf0(X1,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X2,xS)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(spm,[status(thm)],[c_0_28,c_0_30]) ).
cnf(c_0_33,hypothesis,
( aSubsetOf0(xS,xS)
| aElementOf0(esk2_2(xS,xS),xS) ),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
fof(c_0_34,plain,
! [X37,X38,X39,X40,X41,X42] :
( ( aSet0(X39)
| X39 != sdtmndt0(X37,X38)
| ~ aSet0(X37)
| ~ aElement0(X38) )
& ( aElement0(X40)
| ~ aElementOf0(X40,X39)
| X39 != sdtmndt0(X37,X38)
| ~ aSet0(X37)
| ~ aElement0(X38) )
& ( aElementOf0(X40,X37)
| ~ aElementOf0(X40,X39)
| X39 != sdtmndt0(X37,X38)
| ~ aSet0(X37)
| ~ aElement0(X38) )
& ( X40 != X38
| ~ aElementOf0(X40,X39)
| X39 != sdtmndt0(X37,X38)
| ~ aSet0(X37)
| ~ aElement0(X38) )
& ( ~ aElement0(X41)
| ~ aElementOf0(X41,X37)
| X41 = X38
| aElementOf0(X41,X39)
| X39 != sdtmndt0(X37,X38)
| ~ aSet0(X37)
| ~ aElement0(X38) )
& ( ~ aElementOf0(esk4_3(X37,X38,X42),X42)
| ~ aElement0(esk4_3(X37,X38,X42))
| ~ aElementOf0(esk4_3(X37,X38,X42),X37)
| esk4_3(X37,X38,X42) = X38
| ~ aSet0(X42)
| X42 = sdtmndt0(X37,X38)
| ~ aSet0(X37)
| ~ aElement0(X38) )
& ( aElement0(esk4_3(X37,X38,X42))
| aElementOf0(esk4_3(X37,X38,X42),X42)
| ~ aSet0(X42)
| X42 = sdtmndt0(X37,X38)
| ~ aSet0(X37)
| ~ aElement0(X38) )
& ( aElementOf0(esk4_3(X37,X38,X42),X37)
| aElementOf0(esk4_3(X37,X38,X42),X42)
| ~ aSet0(X42)
| X42 = sdtmndt0(X37,X38)
| ~ aSet0(X37)
| ~ aElement0(X38) )
& ( esk4_3(X37,X38,X42) != X38
| aElementOf0(esk4_3(X37,X38,X42),X42)
| ~ aSet0(X42)
| X42 = sdtmndt0(X37,X38)
| ~ aSet0(X37)
| ~ aElement0(X38) ) ),
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_31])])])])])])]) ).
cnf(c_0_35,hypothesis,
( aSubsetOf0(X1,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X2,xS)
| ~ aSubsetOf0(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_15]),c_0_19]),c_0_11])]) ).
cnf(c_0_36,hypothesis,
aSubsetOf0(xS,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_33]),c_0_11])]) ).
cnf(c_0_37,plain,
( aSet0(X1)
| X1 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,plain,
( aElementOf0(X1,X3)
| ~ aElementOf0(X1,X2)
| ~ aSubsetOf0(X2,X3)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_39,hypothesis,
( aSubsetOf0(X1,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X1,xS) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_37]) ).
cnf(c_0_41,hypothesis,
( aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X2,xS)
| ~ aElementOf0(X1,X2)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,hypothesis,
( aSubsetOf0(xS,sdtmndt0(X1,X2))
| aElementOf0(esk2_2(sdtmndt0(X1,X2),xS),xS)
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_40]) ).
cnf(c_0_43,plain,
( X1 = X3
| aElementOf0(X1,X4)
| ~ aElement0(X1)
| ~ aElementOf0(X1,X2)
| X4 != sdtmndt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_44,hypothesis,
( aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aSubsetOf0(X2,xS)
| ~ aElementOf0(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_15]),c_0_19]),c_0_11])]) ).
cnf(c_0_45,hypothesis,
( aSubsetOf0(xS,sdtmndt0(X1,xx))
| aElementOf0(esk2_2(sdtmndt0(X1,xx),xS),xS)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_19]) ).
cnf(c_0_46,plain,
( X1 = X2
| aElementOf0(X1,sdtmndt0(X3,X2))
| ~ aElementOf0(X1,X3)
| ~ aElement0(X2)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_43,c_0_17])]) ).
cnf(c_0_47,hypothesis,
( aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElementOf0(X1,xS) ),
inference(spm,[status(thm)],[c_0_44,c_0_36]) ).
cnf(c_0_48,hypothesis,
( aSubsetOf0(xS,sdtmndt0(sdtpldt0(X1,X2),xx))
| aElementOf0(esk2_2(sdtmndt0(sdtpldt0(X1,X2),xx),xS),xS)
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_15]) ).
cnf(c_0_49,hypothesis,
( X1 = X2
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),X2))
| ~ aElementOf0(X1,xS)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_50,hypothesis,
( aSubsetOf0(xS,sdtmndt0(sdtpldt0(X1,xx),xx))
| aElementOf0(esk2_2(sdtmndt0(sdtpldt0(X1,xx),xx),xS),xS)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_19]) ).
cnf(c_0_51,hypothesis,
( X1 = X2
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),X2))
| ~ aElementOf0(X1,xS)
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_15]),c_0_19]),c_0_11])]) ).
cnf(c_0_52,hypothesis,
( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk2_2(sdtmndt0(sdtpldt0(xS,xx),xx),xS),xS) ),
inference(spm,[status(thm)],[c_0_50,c_0_11]) ).
cnf(c_0_53,hypothesis,
( esk2_2(sdtmndt0(sdtpldt0(xS,xx),xx),xS) = X1
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk2_2(sdtmndt0(sdtpldt0(xS,xx),xx),xS),sdtmndt0(sdtpldt0(xS,xx),X1))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_54,hypothesis,
( esk2_2(sdtmndt0(sdtpldt0(xS,xx),xx),xS) = xx
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk2_2(sdtmndt0(sdtpldt0(xS,xx),xx),xS),sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[c_0_53,c_0_19]) ).
cnf(c_0_55,plain,
( aSubsetOf0(sdtmndt0(X1,X2),X3)
| aElementOf0(esk2_2(X3,sdtmndt0(X1,X2)),sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X3)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_40]) ).
cnf(c_0_56,hypothesis,
( esk2_2(sdtmndt0(sdtpldt0(xS,xx),xx),xS) = xx
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_54]),c_0_11])]) ).
fof(c_0_57,hypothesis,
~ aElementOf0(xx,xS),
inference(fof_simplification,[status(thm)],[m__679_02]) ).
cnf(c_0_58,hypothesis,
( aSubsetOf0(sdtmndt0(X1,xx),X2)
| aElementOf0(esk2_2(X2,sdtmndt0(X1,xx)),sdtmndt0(X1,xx))
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_19]) ).
fof(c_0_59,negated_conjecture,
~ ( aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
& aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_60,hypothesis,
( esk2_2(sdtmndt0(sdtpldt0(xS,xx),xx),xS) = xx
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_40]),c_0_19])]) ).
fof(c_0_61,hypothesis,
~ aElementOf0(xx,xS),
inference(fof_nnf,[status(thm)],[c_0_57]) ).
cnf(c_0_62,hypothesis,
( aSubsetOf0(sdtmndt0(X1,xx),xS)
| aElementOf0(esk2_2(xS,sdtmndt0(X1,xx)),sdtmndt0(X1,xx))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_11]) ).
fof(c_0_63,negated_conjecture,
( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])]) ).
cnf(c_0_64,hypothesis,
( esk2_2(sdtmndt0(sdtpldt0(xS,xx),xx),xS) = xx
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_15]),c_0_19]),c_0_11])]) ).
cnf(c_0_65,hypothesis,
~ aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_66,hypothesis,
( aSubsetOf0(sdtmndt0(sdtpldt0(X1,X2),xx),xS)
| aElementOf0(esk2_2(xS,sdtmndt0(sdtpldt0(X1,X2),xx)),sdtmndt0(sdtpldt0(X1,X2),xx))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_15]) ).
cnf(c_0_67,negated_conjecture,
( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_68,hypothesis,
aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_64]),c_0_65]) ).
cnf(c_0_69,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X2,X4)
| ~ aSet0(X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_70,hypothesis,
( aSubsetOf0(sdtmndt0(sdtpldt0(X1,xx),xx),xS)
| aElementOf0(esk2_2(xS,sdtmndt0(sdtpldt0(X1,xx),xx)),sdtmndt0(sdtpldt0(X1,xx),xx))
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_19]) ).
cnf(c_0_71,negated_conjecture,
~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68])]) ).
cnf(c_0_72,plain,
( aElementOf0(X1,X2)
| X1 = X3
| ~ aElementOf0(X1,X4)
| X4 != sdtpldt0(X2,X3)
| ~ aSet0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_73,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_69]) ).
cnf(c_0_74,hypothesis,
aElementOf0(esk2_2(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_11]),c_0_71]) ).
cnf(c_0_75,plain,
( X1 = X2
| aElementOf0(X1,X3)
| ~ aElementOf0(X1,sdtpldt0(X3,X2))
| ~ aElement0(X2)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_72]) ).
cnf(c_0_76,hypothesis,
( aElementOf0(esk2_2(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),sdtpldt0(xS,xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_19])]) ).
cnf(c_0_77,hypothesis,
( esk2_2(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| aElementOf0(esk2_2(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),xS)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_19]),c_0_11])]) ).
cnf(c_0_78,hypothesis,
( esk2_2(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| aElementOf0(esk2_2(xS,sdtmndt0(sdtpldt0(xS,xx),xx)),xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_15]),c_0_19]),c_0_11])]) ).
cnf(c_0_79,plain,
( X1 != X2
| ~ aElementOf0(X1,X3)
| X3 != sdtmndt0(X4,X2)
| ~ aSet0(X4)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_80,hypothesis,
( esk2_2(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) = xx
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_78]),c_0_11])]),c_0_71]) ).
cnf(c_0_81,plain,
( ~ aElementOf0(X1,sdtmndt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_79])]) ).
cnf(c_0_82,hypothesis,
( aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[c_0_74,c_0_80]) ).
cnf(c_0_83,hypothesis,
( ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_19])]) ).
cnf(c_0_84,hypothesis,
~ aSet0(sdtpldt0(xS,xx)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_40]),c_0_19])]) ).
cnf(c_0_85,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_15]),c_0_19]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM537+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 09:19:44 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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.p0XHM5UbuE/E---3.1_1821.p
% 18.18/2.85 # Version: 3.1.0
% 18.18/2.85 # Preprocessing class: FSMSSMSSSSSNFFN.
% 18.18/2.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.18/2.85 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 18.18/2.85 # Starting new_bool_3 with 300s (1) cores
% 18.18/2.85 # Starting new_bool_1 with 300s (1) cores
% 18.18/2.85 # Starting sh5l with 300s (1) cores
% 18.18/2.85 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1942 completed with status 0
% 18.18/2.85 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 18.18/2.85 # Preprocessing class: FSMSSMSSSSSNFFN.
% 18.18/2.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.18/2.85 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 18.18/2.85 # No SInE strategy applied
% 18.18/2.85 # Search class: FGHSF-FFMS32-SFFFFFNN
% 18.18/2.85 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 18.18/2.85 # Starting G-E--_301_C18_F1_URBAN_S0Y with 811s (1) cores
% 18.18/2.85 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 18.18/2.85 # Starting new_bool_3 with 136s (1) cores
% 18.18/2.85 # Starting new_bool_1 with 136s (1) cores
% 18.18/2.85 # Starting sh5l with 136s (1) cores
% 18.18/2.85 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1953 completed with status 0
% 18.18/2.85 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 18.18/2.85 # Preprocessing class: FSMSSMSSSSSNFFN.
% 18.18/2.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.18/2.85 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 18.18/2.85 # No SInE strategy applied
% 18.18/2.85 # Search class: FGHSF-FFMS32-SFFFFFNN
% 18.18/2.85 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 18.18/2.85 # Starting G-E--_301_C18_F1_URBAN_S0Y with 811s (1) cores
% 18.18/2.85 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 18.18/2.85 # Preprocessing time : 0.002 s
% 18.18/2.85 # Presaturation interreduction done
% 18.18/2.85
% 18.18/2.85 # Proof found!
% 18.18/2.85 # SZS status Theorem
% 18.18/2.85 # SZS output start CNFRefutation
% See solution above
% 18.18/2.85 # Parsed axioms : 20
% 18.18/2.85 # Removed by relevancy pruning/SinE : 0
% 18.18/2.85 # Initial clauses : 42
% 18.18/2.85 # Removed in clause preprocessing : 4
% 18.18/2.85 # Initial clauses in saturation : 38
% 18.18/2.85 # Processed clauses : 4821
% 18.18/2.85 # ...of these trivial : 33
% 18.18/2.85 # ...subsumed : 1988
% 18.18/2.85 # ...remaining for further processing : 2800
% 18.18/2.85 # Other redundant clauses eliminated : 15
% 18.18/2.85 # Clauses deleted for lack of memory : 0
% 18.18/2.85 # Backward-subsumed : 440
% 18.18/2.85 # Backward-rewritten : 107
% 18.18/2.85 # Generated clauses : 121674
% 18.18/2.85 # ...of the previous two non-redundant : 120143
% 18.18/2.85 # ...aggressively subsumed : 0
% 18.18/2.85 # Contextual simplify-reflections : 187
% 18.18/2.85 # Paramodulations : 121661
% 18.18/2.85 # Factorizations : 0
% 18.18/2.85 # NegExts : 0
% 18.18/2.85 # Equation resolutions : 15
% 18.18/2.85 # Disequality decompositions : 0
% 18.18/2.85 # Total rewrite steps : 8370
% 18.18/2.85 # ...of those cached : 8355
% 18.18/2.85 # Propositional unsat checks : 0
% 18.18/2.85 # Propositional check models : 0
% 18.18/2.85 # Propositional check unsatisfiable : 0
% 18.18/2.85 # Propositional clauses : 0
% 18.18/2.85 # Propositional clauses after purity: 0
% 18.18/2.85 # Propositional unsat core size : 0
% 18.18/2.85 # Propositional preprocessing time : 0.000
% 18.18/2.85 # Propositional encoding time : 0.000
% 18.18/2.85 # Propositional solver time : 0.000
% 18.18/2.85 # Success case prop preproc time : 0.000
% 18.18/2.85 # Success case prop encoding time : 0.000
% 18.18/2.85 # Success case prop solver time : 0.000
% 18.18/2.85 # Current number of processed clauses : 2202
% 18.18/2.85 # Positive orientable unit clauses : 15
% 18.18/2.85 # Positive unorientable unit clauses: 0
% 18.18/2.85 # Negative unit clauses : 5
% 18.18/2.85 # Non-unit-clauses : 2182
% 18.18/2.85 # Current number of unprocessed clauses: 114988
% 18.18/2.85 # ...number of literals in the above : 584880
% 18.18/2.85 # Current number of archived formulas : 0
% 18.18/2.85 # Current number of archived clauses : 585
% 18.18/2.85 # Clause-clause subsumption calls (NU) : 1681274
% 18.18/2.85 # Rec. Clause-clause subsumption calls : 175287
% 18.18/2.85 # Non-unit clause-clause subsumptions : 2408
% 18.18/2.85 # Unit Clause-clause subsumption calls : 4777
% 18.18/2.85 # Rewrite failures with RHS unbound : 0
% 18.18/2.85 # BW rewrite match attempts : 38
% 18.18/2.85 # BW rewrite match successes : 9
% 18.18/2.85 # Condensation attempts : 0
% 18.18/2.85 # Condensation successes : 0
% 18.18/2.85 # Termbank termtop insertions : 4058153
% 18.18/2.85 # Search garbage collected termcells : 873
% 18.18/2.85
% 18.18/2.85 # -------------------------------------------------
% 18.18/2.85 # User time : 2.217 s
% 18.18/2.85 # System time : 0.102 s
% 18.18/2.85 # Total time : 2.320 s
% 18.18/2.85 # Maximum resident set size: 1848 pages
% 18.18/2.85
% 18.18/2.85 # -------------------------------------------------
% 18.18/2.85 # User time : 11.317 s
% 18.18/2.85 # System time : 0.153 s
% 18.18/2.85 # Total time : 11.470 s
% 18.18/2.85 # Maximum resident set size: 1708 pages
% 18.18/2.85 % E---3.1 exiting
% 18.18/2.85 % E exiting
%------------------------------------------------------------------------------