TSTP Solution File: RNG097+1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : RNG097+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.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 09:14:33 EDT 2024
% Result : Theorem 38.12s 5.29s
% Output : CNFRefutation 38.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of formulae : 88 ( 33 unt; 0 def)
% Number of atoms : 209 ( 44 equ)
% Maximal formula atoms : 29 ( 2 avg)
% Number of connectives : 201 ( 80 ~; 82 |; 24 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 82 ( 0 sgn 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefIdeal,axiom,
! [X1] :
( aIdeal0(X1)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(sdtpldt0(X2,X3),X1) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X2),X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.l7ivFAdEuB/E---3.1_22556.p',mDefIdeal) ).
fof(mIdeSum,axiom,
! [X1,X2] :
( ( aIdeal0(X1)
& aIdeal0(X2) )
=> aIdeal0(sdtpldt1(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.l7ivFAdEuB/E---3.1_22556.p',mIdeSum) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.l7ivFAdEuB/E---3.1_22556.p',mEOfElem) ).
fof(m__1205,hypothesis,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox/tmp/tmp.l7ivFAdEuB/E---3.1_22556.p',m__1205) ).
fof(m__1205_03,hypothesis,
! [X1] :
( aElement0(X1)
=> aElementOf0(X1,sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox/tmp/tmp.l7ivFAdEuB/E---3.1_22556.p',m__1205_03) ).
fof(mSortsU,axiom,
! [X1] :
( aElement0(X1)
=> aElement0(smndt0(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.l7ivFAdEuB/E---3.1_22556.p',mSortsU) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.l7ivFAdEuB/E---3.1_22556.p',mAddComm) ).
fof(m__1294,hypothesis,
( aElementOf0(xa,xI)
& aElementOf0(xb,xJ)
& sdtpldt0(xa,xb) = sz10 ),
file('/export/starexec/sandbox/tmp/tmp.l7ivFAdEuB/E---3.1_22556.p',m__1294) ).
fof(mMulMnOne,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('/export/starexec/sandbox/tmp/tmp.l7ivFAdEuB/E---3.1_22556.p',mMulMnOne) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.l7ivFAdEuB/E---3.1_22556.p',mAddAsso) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.l7ivFAdEuB/E---3.1_22556.p',mSortsB_02) ).
fof(mSortsC_01,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/tmp/tmp.l7ivFAdEuB/E---3.1_22556.p',mSortsC_01) ).
fof(mAddInvr,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.l7ivFAdEuB/E---3.1_22556.p',mAddInvr) ).
fof(mAddZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.l7ivFAdEuB/E---3.1_22556.p',mAddZero) ).
fof(m__,conjecture,
aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
file('/export/starexec/sandbox/tmp/tmp.l7ivFAdEuB/E---3.1_22556.p',m__) ).
fof(m__1217,hypothesis,
( aElement0(xx)
& aElement0(xy) ),
file('/export/starexec/sandbox/tmp/tmp.l7ivFAdEuB/E---3.1_22556.p',m__1217) ).
fof(c_0_16,plain,
! [X62,X63,X64,X65,X66] :
( ( aSet0(X62)
| ~ aIdeal0(X62) )
& ( ~ aElementOf0(X64,X62)
| aElementOf0(sdtpldt0(X63,X64),X62)
| ~ aElementOf0(X63,X62)
| ~ aIdeal0(X62) )
& ( ~ aElement0(X65)
| aElementOf0(sdtasdt0(X65,X63),X62)
| ~ aElementOf0(X63,X62)
| ~ aIdeal0(X62) )
& ( aElementOf0(esk9_1(X66),X66)
| ~ aSet0(X66)
| aIdeal0(X66) )
& ( aElement0(esk11_1(X66))
| aElementOf0(esk10_1(X66),X66)
| ~ aSet0(X66)
| aIdeal0(X66) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X66),esk9_1(X66)),X66)
| aElementOf0(esk10_1(X66),X66)
| ~ aSet0(X66)
| aIdeal0(X66) )
& ( aElement0(esk11_1(X66))
| ~ aElementOf0(sdtpldt0(esk9_1(X66),esk10_1(X66)),X66)
| ~ aSet0(X66)
| aIdeal0(X66) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X66),esk9_1(X66)),X66)
| ~ aElementOf0(sdtpldt0(esk9_1(X66),esk10_1(X66)),X66)
| ~ aSet0(X66)
| aIdeal0(X66) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[mDefIdeal])])])])])])]) ).
fof(c_0_17,plain,
! [X70,X71] :
( ~ aIdeal0(X70)
| ~ aIdeal0(X71)
| aIdeal0(sdtpldt1(X70,X71)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIdeSum])])]) ).
fof(c_0_18,plain,
! [X34,X35] :
( ~ aSet0(X34)
| ~ aElementOf0(X35,X34)
| aElement0(X35) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])]) ).
cnf(c_0_19,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,hypothesis,
aIdeal0(xJ),
inference(split_conjunct,[status(thm)],[m__1205]) ).
cnf(c_0_21,hypothesis,
aIdeal0(xI),
inference(split_conjunct,[status(thm)],[m__1205]) ).
fof(c_0_22,hypothesis,
! [X77] :
( ~ aElement0(X77)
| aElementOf0(X77,sdtpldt1(xI,xJ)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1205_03])])]) ).
fof(c_0_23,plain,
! [X8] :
( ~ aElement0(X8)
| aElement0(smndt0(X8)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsU])])]) ).
cnf(c_0_24,plain,
( aIdeal0(sdtpldt1(X1,X2))
| ~ aIdeal0(X1)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_25,plain,
! [X13,X14] :
( ~ aElement0(X13)
| ~ aElement0(X14)
| sdtpldt0(X13,X14) = sdtpldt0(X14,X13) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])])]) ).
cnf(c_0_26,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,hypothesis,
aElementOf0(xb,xJ),
inference(split_conjunct,[status(thm)],[m__1294]) ).
cnf(c_0_28,hypothesis,
aSet0(xJ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_29,plain,
! [X29] :
( ( sdtasdt0(smndt0(sz10),X29) = smndt0(X29)
| ~ aElement0(X29) )
& ( smndt0(X29) = sdtasdt0(X29,smndt0(sz10))
| ~ aElement0(X29) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMnOne])])])]) ).
cnf(c_0_30,hypothesis,
aElementOf0(xa,xI),
inference(split_conjunct,[status(thm)],[m__1294]) ).
cnf(c_0_31,hypothesis,
aSet0(xI),
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
cnf(c_0_32,hypothesis,
( aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,plain,
( aSet0(sdtpldt1(X1,X2))
| ~ aIdeal0(X2)
| ~ aIdeal0(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_24]) ).
fof(c_0_35,plain,
! [X15,X16,X17] :
( ~ aElement0(X15)
| ~ aElement0(X16)
| ~ aElement0(X17)
| sdtpldt0(sdtpldt0(X15,X16),X17) = sdtpldt0(X15,sdtpldt0(X16,X17)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])])]) ).
cnf(c_0_36,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,hypothesis,
aElement0(xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
fof(c_0_38,plain,
! [X11,X12] :
( ~ aElement0(X11)
| ~ aElement0(X12)
| aElement0(sdtasdt0(X11,X12)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])])]) ).
cnf(c_0_39,plain,
( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,hypothesis,
aElement0(xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_30]),c_0_31])]) ).
cnf(c_0_41,plain,
( aElementOf0(sdtasdt0(X1,X2),X3)
| ~ aElement0(X1)
| ~ aElementOf0(X2,X3)
| ~ aIdeal0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_42,hypothesis,
( aElementOf0(smndt0(X1),sdtpldt1(xI,xJ))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_43,plain,
aElement0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_44,hypothesis,
( aSet0(sdtpldt1(xI,X1))
| ~ aIdeal0(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_21]) ).
fof(c_0_45,plain,
! [X19] :
( ( sdtpldt0(X19,smndt0(X19)) = sz00
| ~ aElement0(X19) )
& ( sz00 = sdtpldt0(smndt0(X19),X19)
| ~ aElement0(X19) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddInvr])])])]) ).
cnf(c_0_46,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_47,hypothesis,
( sdtpldt0(xb,X1) = sdtpldt0(X1,xb)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_48,hypothesis,
sdtpldt0(xa,xb) = sz10,
inference(split_conjunct,[status(thm)],[m__1294]) ).
cnf(c_0_49,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_50,hypothesis,
sdtasdt0(xa,smndt0(sz10)) = smndt0(xa),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_51,plain,
! [X18] :
( ( sdtpldt0(X18,sz00) = X18
| ~ aElement0(X18) )
& ( X18 = sdtpldt0(sz00,X18)
| ~ aElement0(X18) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])])]) ).
cnf(c_0_52,hypothesis,
( aElementOf0(sdtasdt0(X1,xa),xI)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_30]),c_0_21])]) ).
cnf(c_0_53,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_54,hypothesis,
aElementOf0(smndt0(sz10),sdtpldt1(xI,xJ)),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_55,hypothesis,
aSet0(sdtpldt1(xI,xJ)),
inference(spm,[status(thm)],[c_0_44,c_0_20]) ).
cnf(c_0_56,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_57,hypothesis,
( sdtpldt0(sdtpldt0(xb,X1),X2) = sdtpldt0(xb,sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_37]) ).
cnf(c_0_58,hypothesis,
sdtpldt0(xb,xa) = sz10,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_40]),c_0_48]) ).
cnf(c_0_59,hypothesis,
( aElement0(smndt0(xa))
| ~ aElement0(smndt0(sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_40])]) ).
cnf(c_0_60,plain,
( sdtpldt0(X1,smndt0(X1)) = sz00
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_61,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_62,plain,
( sdtpldt0(smndt0(X1),X2) = sdtpldt0(X2,smndt0(X1))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_33]) ).
cnf(c_0_63,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_64,hypothesis,
( aElementOf0(sdtasdt0(smndt0(X1),xa),xI)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_33]) ).
cnf(c_0_65,hypothesis,
sdtasdt0(smndt0(sz10),xa) = smndt0(xa),
inference(spm,[status(thm)],[c_0_53,c_0_40]) ).
fof(c_0_66,negated_conjecture,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_67,plain,
( sdtpldt0(sdtpldt0(X1,sz10),X2) = sdtpldt0(X1,sdtpldt0(sz10,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_43]) ).
cnf(c_0_68,hypothesis,
aElement0(smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_54]),c_0_55])]) ).
cnf(c_0_69,plain,
sdtpldt0(smndt0(sz10),sz10) = sz00,
inference(spm,[status(thm)],[c_0_56,c_0_43]) ).
cnf(c_0_70,hypothesis,
( sdtpldt0(xb,sdtpldt0(xa,X1)) = sdtpldt0(sz10,X1)
| ~ aElement0(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_40]),c_0_58]) ).
cnf(c_0_71,hypothesis,
aElement0(smndt0(xa)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_33]),c_0_43])]) ).
cnf(c_0_72,hypothesis,
sdtpldt0(xa,smndt0(xa)) = sz00,
inference(spm,[status(thm)],[c_0_60,c_0_40]) ).
cnf(c_0_73,hypothesis,
sdtpldt0(xb,sz00) = xb,
inference(spm,[status(thm)],[c_0_61,c_0_37]) ).
cnf(c_0_74,hypothesis,
( sdtpldt0(smndt0(X1),xb) = sdtpldt0(xb,smndt0(X1))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_37]) ).
cnf(c_0_75,plain,
( sdtpldt0(sz00,smndt0(X1)) = smndt0(X1)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_33]) ).
cnf(c_0_76,hypothesis,
aElementOf0(smndt0(xa),xI),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_43]),c_0_65]) ).
fof(c_0_77,negated_conjecture,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(fof_nnf,[status(thm)],[c_0_66]) ).
cnf(c_0_78,hypothesis,
( sdtpldt0(smndt0(sz10),sdtpldt0(sz10,X1)) = sdtpldt0(sz00,X1)
| ~ aElement0(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_79,hypothesis,
sdtpldt0(sz10,smndt0(xa)) = xb,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]),c_0_73]) ).
cnf(c_0_80,hypothesis,
sdtpldt0(smndt0(sz10),xb) = sdtpldt0(xb,smndt0(sz10)),
inference(spm,[status(thm)],[c_0_74,c_0_43]) ).
cnf(c_0_81,hypothesis,
sdtpldt0(sz00,smndt0(xa)) = smndt0(xa),
inference(spm,[status(thm)],[c_0_75,c_0_40]) ).
cnf(c_0_82,hypothesis,
( aElementOf0(sdtasdt0(X1,smndt0(xa)),xI)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_76]),c_0_21])]) ).
cnf(c_0_83,hypothesis,
aElement0(xx),
inference(split_conjunct,[status(thm)],[m__1217]) ).
cnf(c_0_84,negated_conjecture,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_85,hypothesis,
sdtpldt0(xb,smndt0(sz10)) = smndt0(xa),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_71]),c_0_79]),c_0_80]),c_0_81]) ).
cnf(c_0_86,hypothesis,
aElementOf0(sdtasdt0(xx,smndt0(xa)),xI),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_87,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : RNG097+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n024.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 11:26:50 EDT 2024
% 0.15/0.35 % 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.l7ivFAdEuB/E---3.1_22556.p
% 38.12/5.29 # Version: 3.1.0
% 38.12/5.29 # Preprocessing class: FSMSSMSMSSSNFFN.
% 38.12/5.29 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.12/5.29 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 38.12/5.29 # Starting new_bool_3 with 300s (1) cores
% 38.12/5.29 # Starting new_bool_1 with 300s (1) cores
% 38.12/5.29 # Starting sh5l with 300s (1) cores
% 38.12/5.29 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 22634 completed with status 0
% 38.12/5.29 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 38.12/5.29 # Preprocessing class: FSMSSMSMSSSNFFN.
% 38.12/5.29 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.12/5.29 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 38.12/5.29 # No SInE strategy applied
% 38.12/5.29 # Search class: FGUSF-FFMM32-MFFFFFNN
% 38.12/5.29 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 38.12/5.29 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 38.12/5.29 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 38.12/5.29 # Starting new_bool_3 with 136s (1) cores
% 38.12/5.29 # Starting new_bool_1 with 136s (1) cores
% 38.12/5.29 # Starting sh5l with 136s (1) cores
% 38.12/5.29 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 22641 completed with status 0
% 38.12/5.29 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 38.12/5.29 # Preprocessing class: FSMSSMSMSSSNFFN.
% 38.12/5.29 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.12/5.29 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 38.12/5.29 # No SInE strategy applied
% 38.12/5.29 # Search class: FGUSF-FFMM32-MFFFFFNN
% 38.12/5.29 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 38.12/5.29 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 38.12/5.29 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 38.12/5.29 # Preprocessing time : 0.002 s
% 38.12/5.29 # Presaturation interreduction done
% 38.12/5.29
% 38.12/5.29 # Proof found!
% 38.12/5.29 # SZS status Theorem
% 38.12/5.29 # SZS output start CNFRefutation
% See solution above
% 38.12/5.29 # Parsed axioms : 34
% 38.12/5.29 # Removed by relevancy pruning/SinE : 0
% 38.12/5.29 # Initial clauses : 69
% 38.12/5.29 # Removed in clause preprocessing : 2
% 38.12/5.29 # Initial clauses in saturation : 67
% 38.12/5.29 # Processed clauses : 7536
% 38.12/5.29 # ...of these trivial : 1874
% 38.12/5.29 # ...subsumed : 383
% 38.12/5.29 # ...remaining for further processing : 5279
% 38.12/5.29 # Other redundant clauses eliminated : 10
% 38.12/5.29 # Clauses deleted for lack of memory : 0
% 38.12/5.29 # Backward-subsumed : 2
% 38.12/5.29 # Backward-rewritten : 739
% 38.12/5.29 # Generated clauses : 730021
% 38.12/5.29 # ...of the previous two non-redundant : 713675
% 38.12/5.29 # ...aggressively subsumed : 0
% 38.12/5.29 # Contextual simplify-reflections : 0
% 38.12/5.29 # Paramodulations : 730012
% 38.12/5.29 # Factorizations : 0
% 38.12/5.29 # NegExts : 0
% 38.12/5.29 # Equation resolutions : 10
% 38.12/5.29 # Disequality decompositions : 0
% 38.12/5.29 # Total rewrite steps : 122364
% 38.12/5.29 # ...of those cached : 119820
% 38.12/5.29 # Propositional unsat checks : 0
% 38.12/5.29 # Propositional check models : 0
% 38.12/5.29 # Propositional check unsatisfiable : 0
% 38.12/5.29 # Propositional clauses : 0
% 38.12/5.29 # Propositional clauses after purity: 0
% 38.12/5.29 # Propositional unsat core size : 0
% 38.12/5.29 # Propositional preprocessing time : 0.000
% 38.12/5.29 # Propositional encoding time : 0.000
% 38.12/5.29 # Propositional solver time : 0.000
% 38.12/5.29 # Success case prop preproc time : 0.000
% 38.12/5.29 # Success case prop encoding time : 0.000
% 38.12/5.29 # Success case prop solver time : 0.000
% 38.12/5.29 # Current number of processed clauses : 4462
% 38.12/5.29 # Positive orientable unit clauses : 2422
% 38.12/5.29 # Positive unorientable unit clauses: 0
% 38.12/5.29 # Negative unit clauses : 2
% 38.12/5.29 # Non-unit-clauses : 2038
% 38.12/5.29 # Current number of unprocessed clauses: 706029
% 38.12/5.29 # ...number of literals in the above : 1155646
% 38.12/5.29 # Current number of archived formulas : 0
% 38.12/5.29 # Current number of archived clauses : 808
% 38.12/5.29 # Clause-clause subsumption calls (NU) : 210928
% 38.12/5.29 # Rec. Clause-clause subsumption calls : 190634
% 38.12/5.29 # Non-unit clause-clause subsumptions : 385
% 38.12/5.29 # Unit Clause-clause subsumption calls : 33046
% 38.12/5.29 # Rewrite failures with RHS unbound : 0
% 38.12/5.29 # BW rewrite match attempts : 12033
% 38.12/5.29 # BW rewrite match successes : 224
% 38.12/5.29 # Condensation attempts : 0
% 38.12/5.29 # Condensation successes : 0
% 38.12/5.29 # Termbank termtop insertions : 13595356
% 38.12/5.29 # Search garbage collected termcells : 1102
% 38.12/5.29
% 38.12/5.29 # -------------------------------------------------
% 38.12/5.29 # User time : 4.385 s
% 38.12/5.29 # System time : 0.333 s
% 38.12/5.29 # Total time : 4.718 s
% 38.12/5.29 # Maximum resident set size: 1896 pages
% 38.12/5.29
% 38.12/5.29 # -------------------------------------------------
% 38.12/5.29 # User time : 23.001 s
% 38.12/5.29 # System time : 0.523 s
% 38.12/5.29 # Total time : 23.524 s
% 38.12/5.29 # Maximum resident set size: 1748 pages
% 38.12/5.29 % E---3.1 exiting
% 38.12/5.29 % E exiting
%------------------------------------------------------------------------------