TSTP Solution File: RNG095+1 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : RNG095+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 19:15:43 EDT 2023
% Result : Theorem 4.76s 1.19s
% Output : CNFRefutation 4.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 81 ( 20 unt; 0 def)
% Number of atoms : 295 ( 65 equ)
% Maximal formula atoms : 52 ( 3 avg)
% Number of connectives : 359 ( 145 ~; 153 |; 42 &)
% ( 3 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-4 aty)
% Number of variables : 127 ( 1 sgn; 61 !; 6 ?)
% 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.VIusn3QXJc/E---3.1_7846.p',mDefIdeal) ).
fof(m__1205_03,hypothesis,
! [X1] :
( aElement0(X1)
=> aElementOf0(X1,sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox/tmp/tmp.VIusn3QXJc/E---3.1_7846.p',m__1205_03) ).
fof(mAddZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.VIusn3QXJc/E---3.1_7846.p',mAddZero) ).
fof(mAddInvr,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,smndt0(X1)) = sz00
& sz00 = sdtpldt0(smndt0(X1),X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.VIusn3QXJc/E---3.1_7846.p',mAddInvr) ).
fof(mIdeSum,axiom,
! [X1,X2] :
( ( aIdeal0(X1)
& aIdeal0(X2) )
=> aIdeal0(sdtpldt1(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.VIusn3QXJc/E---3.1_7846.p',mIdeSum) ).
fof(mSortsC,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/tmp/tmp.VIusn3QXJc/E---3.1_7846.p',mSortsC) ).
fof(mSortsU,axiom,
! [X1] :
( aElement0(X1)
=> aElement0(smndt0(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.VIusn3QXJc/E---3.1_7846.p',mSortsU) ).
fof(m__1205,hypothesis,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox/tmp/tmp.VIusn3QXJc/E---3.1_7846.p',m__1205) ).
fof(mMulUnit,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.VIusn3QXJc/E---3.1_7846.p',mMulUnit) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.VIusn3QXJc/E---3.1_7846.p',mMulAsso) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.VIusn3QXJc/E---3.1_7846.p',mSortsB_02) ).
fof(mDefSSum,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ! [X3] :
( X3 = sdtpldt1(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ? [X5,X6] :
( aElementOf0(X5,X1)
& aElementOf0(X6,X2)
& sdtpldt0(X5,X6) = X4 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.VIusn3QXJc/E---3.1_7846.p',mDefSSum) ).
fof(mSortsC_01,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/tmp/tmp.VIusn3QXJc/E---3.1_7846.p',mSortsC_01) ).
fof(mMulZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.VIusn3QXJc/E---3.1_7846.p',mMulZero) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.VIusn3QXJc/E---3.1_7846.p',mEOfElem) ).
fof(mAMDistr,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.VIusn3QXJc/E---3.1_7846.p',mAMDistr) ).
fof(m__,conjecture,
? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = sz10 ),
file('/export/starexec/sandbox/tmp/tmp.VIusn3QXJc/E---3.1_7846.p',m__) ).
fof(c_0_17,plain,
! [X60,X61,X62,X63,X64] :
( ( aSet0(X60)
| ~ aIdeal0(X60) )
& ( ~ aElementOf0(X62,X60)
| aElementOf0(sdtpldt0(X61,X62),X60)
| ~ aElementOf0(X61,X60)
| ~ aIdeal0(X60) )
& ( ~ aElement0(X63)
| aElementOf0(sdtasdt0(X63,X61),X60)
| ~ aElementOf0(X61,X60)
| ~ aIdeal0(X60) )
& ( aElementOf0(esk9_1(X64),X64)
| ~ aSet0(X64)
| aIdeal0(X64) )
& ( aElement0(esk11_1(X64))
| aElementOf0(esk10_1(X64),X64)
| ~ aSet0(X64)
| aIdeal0(X64) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X64),esk9_1(X64)),X64)
| aElementOf0(esk10_1(X64),X64)
| ~ aSet0(X64)
| aIdeal0(X64) )
& ( aElement0(esk11_1(X64))
| ~ aElementOf0(sdtpldt0(esk9_1(X64),esk10_1(X64)),X64)
| ~ aSet0(X64)
| aIdeal0(X64) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X64),esk9_1(X64)),X64)
| ~ aElementOf0(sdtpldt0(esk9_1(X64),esk10_1(X64)),X64)
| ~ aSet0(X64)
| aIdeal0(X64) ) ),
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)],[mDefIdeal])])])])])]) ).
fof(c_0_18,hypothesis,
! [X75] :
( ~ aElement0(X75)
| aElementOf0(X75,sdtpldt1(xI,xJ)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1205_03])]) ).
fof(c_0_19,plain,
! [X17] :
( ( sdtpldt0(X17,sz00) = X17
| ~ aElement0(X17) )
& ( X17 = sdtpldt0(sz00,X17)
| ~ aElement0(X17) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).
fof(c_0_20,plain,
! [X18] :
( ( sdtpldt0(X18,smndt0(X18)) = sz00
| ~ aElement0(X18) )
& ( sz00 = sdtpldt0(smndt0(X18),X18)
| ~ aElement0(X18) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddInvr])])]) ).
cnf(c_0_21,plain,
( aElementOf0(sdtpldt0(X3,X1),X2)
| ~ aElementOf0(X1,X2)
| ~ aElementOf0(X3,X2)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,hypothesis,
( aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_23,plain,
! [X68,X69] :
( ~ aIdeal0(X68)
| ~ aIdeal0(X69)
| aIdeal0(sdtpldt1(X68,X69)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIdeSum])]) ).
cnf(c_0_24,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,plain,
( sz00 = sdtpldt0(smndt0(X1),X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,plain,
aElement0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
fof(c_0_27,plain,
! [X7] :
( ~ aElement0(X7)
| aElement0(smndt0(X7)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsU])]) ).
cnf(c_0_28,hypothesis,
( aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aIdeal0(sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,plain,
( aIdeal0(sdtpldt1(X1,X2))
| ~ aIdeal0(X1)
| ~ aIdeal0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,hypothesis,
aIdeal0(xJ),
inference(split_conjunct,[status(thm)],[m__1205]) ).
cnf(c_0_31,hypothesis,
aIdeal0(xI),
inference(split_conjunct,[status(thm)],[m__1205]) ).
cnf(c_0_32,plain,
( smndt0(sz00) = sz00
| ~ aElement0(smndt0(sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_33,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_34,plain,
! [X24] :
( ( sdtasdt0(X24,sz10) = X24
| ~ aElement0(X24) )
& ( X24 = sdtasdt0(sz10,X24)
| ~ aElement0(X24) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulUnit])])]) ).
fof(c_0_35,plain,
! [X21,X22,X23] :
( ~ aElement0(X21)
| ~ aElement0(X22)
| ~ aElement0(X23)
| sdtasdt0(sdtasdt0(X21,X22),X23) = sdtasdt0(X21,sdtasdt0(X22,X23)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])]) ).
fof(c_0_36,plain,
! [X10,X11] :
( ~ aElement0(X10)
| ~ aElement0(X11)
| aElement0(sdtasdt0(X10,X11)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])]) ).
fof(c_0_37,plain,
! [X38,X39,X40,X41,X44,X45,X46,X47,X49,X50] :
( ( aSet0(X40)
| X40 != sdtpldt1(X38,X39)
| ~ aSet0(X38)
| ~ aSet0(X39) )
& ( aElementOf0(esk3_4(X38,X39,X40,X41),X38)
| ~ aElementOf0(X41,X40)
| X40 != sdtpldt1(X38,X39)
| ~ aSet0(X38)
| ~ aSet0(X39) )
& ( aElementOf0(esk4_4(X38,X39,X40,X41),X39)
| ~ aElementOf0(X41,X40)
| X40 != sdtpldt1(X38,X39)
| ~ aSet0(X38)
| ~ aSet0(X39) )
& ( sdtpldt0(esk3_4(X38,X39,X40,X41),esk4_4(X38,X39,X40,X41)) = X41
| ~ aElementOf0(X41,X40)
| X40 != sdtpldt1(X38,X39)
| ~ aSet0(X38)
| ~ aSet0(X39) )
& ( ~ aElementOf0(X45,X38)
| ~ aElementOf0(X46,X39)
| sdtpldt0(X45,X46) != X44
| aElementOf0(X44,X40)
| X40 != sdtpldt1(X38,X39)
| ~ aSet0(X38)
| ~ aSet0(X39) )
& ( ~ aElementOf0(esk5_3(X38,X39,X47),X47)
| ~ aElementOf0(X49,X38)
| ~ aElementOf0(X50,X39)
| sdtpldt0(X49,X50) != esk5_3(X38,X39,X47)
| ~ aSet0(X47)
| X47 = sdtpldt1(X38,X39)
| ~ aSet0(X38)
| ~ aSet0(X39) )
& ( aElementOf0(esk6_3(X38,X39,X47),X38)
| aElementOf0(esk5_3(X38,X39,X47),X47)
| ~ aSet0(X47)
| X47 = sdtpldt1(X38,X39)
| ~ aSet0(X38)
| ~ aSet0(X39) )
& ( aElementOf0(esk7_3(X38,X39,X47),X39)
| aElementOf0(esk5_3(X38,X39,X47),X47)
| ~ aSet0(X47)
| X47 = sdtpldt1(X38,X39)
| ~ aSet0(X38)
| ~ aSet0(X39) )
& ( sdtpldt0(esk6_3(X38,X39,X47),esk7_3(X38,X39,X47)) = esk5_3(X38,X39,X47)
| aElementOf0(esk5_3(X38,X39,X47),X47)
| ~ aSet0(X47)
| X47 = sdtpldt1(X38,X39)
| ~ aSet0(X38)
| ~ aSet0(X39) ) ),
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)],[mDefSSum])])])])])]) ).
cnf(c_0_38,hypothesis,
( aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31])]) ).
cnf(c_0_39,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_26])]) ).
cnf(c_0_40,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
aElement0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_43,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
( X1 = sdtasdt0(sz10,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,plain,
( aElementOf0(esk4_4(X1,X2,X3,X4),X2)
| ~ aElementOf0(X4,X3)
| X3 != sdtpldt1(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,hypothesis,
( aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_22]) ).
cnf(c_0_47,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_39]),c_0_26])]) ).
cnf(c_0_48,plain,
( aSet0(X1)
| ~ aIdeal0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_49,plain,
( sdtasdt0(X1,sdtasdt0(X2,sz10)) = sdtasdt0(X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_50,plain,
( sdtasdt0(sz10,sdtasdt0(X1,X2)) = sdtasdt0(X1,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_44]),c_0_42])]) ).
fof(c_0_51,plain,
! [X29] :
( ( sdtasdt0(X29,sz00) = sz00
| ~ aElement0(X29) )
& ( sz00 = sdtasdt0(sz00,X29)
| ~ aElement0(X29) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])]) ).
fof(c_0_52,plain,
! [X32,X33] :
( ~ aSet0(X32)
| ~ aElementOf0(X33,X32)
| aElement0(X33) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])]) ).
cnf(c_0_53,plain,
( aElementOf0(esk4_4(X1,X2,sdtpldt1(X1,X2),X3),X2)
| ~ aElementOf0(X3,sdtpldt1(X1,X2))
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_45]) ).
cnf(c_0_54,hypothesis,
aElementOf0(sz00,sdtpldt1(xI,xJ)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_26])]) ).
cnf(c_0_55,hypothesis,
aSet0(xJ),
inference(spm,[status(thm)],[c_0_48,c_0_30]) ).
cnf(c_0_56,hypothesis,
aSet0(xI),
inference(spm,[status(thm)],[c_0_48,c_0_31]) ).
fof(c_0_57,plain,
! [X25,X26,X27] :
( ( sdtasdt0(X25,sdtpldt0(X26,X27)) = sdtpldt0(sdtasdt0(X25,X26),sdtasdt0(X25,X27))
| ~ aElement0(X25)
| ~ aElement0(X26)
| ~ aElement0(X27) )
& ( sdtasdt0(sdtpldt0(X26,X27),X25) = sdtpldt0(sdtasdt0(X26,X25),sdtasdt0(X27,X25))
| ~ aElement0(X25)
| ~ aElement0(X26)
| ~ aElement0(X27) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
cnf(c_0_58,plain,
( sdtasdt0(X1,sz10) = sdtasdt0(sz10,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_42])]) ).
cnf(c_0_59,plain,
( sz00 = sdtasdt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_60,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_61,hypothesis,
aElementOf0(esk4_4(xI,xJ,sdtpldt1(xI,xJ),sz00),xJ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_56])]) ).
cnf(c_0_62,plain,
( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_63,plain,
sdtasdt0(sz10,sz10) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_58]),c_0_42])]) ).
cnf(c_0_64,plain,
( sdtasdt0(sz10,sz00) = sz00
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_59]),c_0_26])]) ).
cnf(c_0_65,hypothesis,
aElement0(esk4_4(xI,xJ,sdtpldt1(xI,xJ),sz00)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_55])]) ).
cnf(c_0_66,plain,
( sdtasdt0(sz10,sdtpldt0(sz10,X1)) = sdtpldt0(sz10,sdtasdt0(sz10,X1))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_42])]) ).
cnf(c_0_67,hypothesis,
sdtasdt0(sz10,sz00) = sz00,
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_68,negated_conjecture,
~ ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = sz10 ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_69,plain,
( sdtpldt0(esk3_4(X1,X2,X3,X4),esk4_4(X1,X2,X3,X4)) = X4
| ~ aElementOf0(X4,X3)
| X3 != sdtpldt1(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_70,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_24]),c_0_63]),c_0_67]),c_0_26]),c_0_42])]) ).
cnf(c_0_71,plain,
( aElementOf0(esk3_4(X1,X2,X3,X4),X1)
| ~ aElementOf0(X4,X3)
| X3 != sdtpldt1(X1,X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_72,negated_conjecture,
! [X76,X77] :
( ~ aElementOf0(X76,xI)
| ~ aElementOf0(X77,xJ)
| sdtpldt0(X76,X77) != sz10 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])]) ).
cnf(c_0_73,plain,
( sdtpldt0(esk3_4(X1,X2,sdtpldt1(X1,X2),X3),esk4_4(X1,X2,sdtpldt1(X1,X2),X3)) = X3
| ~ aElementOf0(X3,sdtpldt1(X1,X2))
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_69]) ).
cnf(c_0_74,hypothesis,
aElementOf0(sz10,sdtpldt1(xI,xJ)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_70]),c_0_42]),c_0_26])]) ).
cnf(c_0_75,plain,
( aElementOf0(esk3_4(X1,X2,sdtpldt1(X1,X2),X3),X1)
| ~ aElementOf0(X3,sdtpldt1(X1,X2))
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_71]) ).
cnf(c_0_76,negated_conjecture,
( ~ aElementOf0(X1,xI)
| ~ aElementOf0(X2,xJ)
| sdtpldt0(X1,X2) != sz10 ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_77,hypothesis,
( sdtpldt0(esk3_4(xI,xJ,sdtpldt1(xI,xJ),X1),esk4_4(xI,xJ,sdtpldt1(xI,xJ),X1)) = X1
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_22]),c_0_55]),c_0_56])]) ).
cnf(c_0_78,hypothesis,
aElementOf0(esk4_4(xI,xJ,sdtpldt1(xI,xJ),sz10),xJ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_74]),c_0_55]),c_0_56])]) ).
cnf(c_0_79,hypothesis,
aElementOf0(esk3_4(xI,xJ,sdtpldt1(xI,xJ),sz10),xI),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_74]),c_0_55]),c_0_56])]) ).
cnf(c_0_80,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77])]),c_0_78]),c_0_79]),c_0_42])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : RNG095+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.16 % Command : run_E %s %d THM
% 0.16/0.38 % Computer : n021.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 2400
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Mon Oct 2 19:45:59 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.24/0.54 Running first-order model finding
% 0.24/0.54 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.VIusn3QXJc/E---3.1_7846.p
% 4.76/1.19 # Version: 3.1pre001
% 4.76/1.19 # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.76/1.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.76/1.19 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.76/1.19 # Starting new_bool_3 with 300s (1) cores
% 4.76/1.19 # Starting new_bool_1 with 300s (1) cores
% 4.76/1.19 # Starting sh5l with 300s (1) cores
% 4.76/1.19 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 7923 completed with status 0
% 4.76/1.19 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 4.76/1.19 # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.76/1.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.76/1.19 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.76/1.19 # No SInE strategy applied
% 4.76/1.19 # Search class: FGHSF-FFMM32-SFFFFFNN
% 4.76/1.19 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 4.76/1.19 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 811s (1) cores
% 4.76/1.19 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.76/1.19 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 4.76/1.19 # Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 4.76/1.19 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 4.76/1.19 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 7933 completed with status 0
% 4.76/1.19 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 4.76/1.19 # Preprocessing class: FSMSSMSSSSSNFFN.
% 4.76/1.19 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.76/1.19 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 4.76/1.19 # No SInE strategy applied
% 4.76/1.19 # Search class: FGHSF-FFMM32-SFFFFFNN
% 4.76/1.19 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 4.76/1.19 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 811s (1) cores
% 4.76/1.19 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 4.76/1.19 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 4.76/1.19 # Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 4.76/1.19 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 4.76/1.19 # Preprocessing time : 0.002 s
% 4.76/1.19 # Presaturation interreduction done
% 4.76/1.19
% 4.76/1.19 # Proof found!
% 4.76/1.19 # SZS status Theorem
% 4.76/1.19 # SZS output start CNFRefutation
% See solution above
% 4.76/1.19 # Parsed axioms : 31
% 4.76/1.19 # Removed by relevancy pruning/SinE : 0
% 4.76/1.19 # Initial clauses : 64
% 4.76/1.19 # Removed in clause preprocessing : 2
% 4.76/1.19 # Initial clauses in saturation : 62
% 4.76/1.19 # Processed clauses : 5110
% 4.76/1.19 # ...of these trivial : 119
% 4.76/1.19 # ...subsumed : 4086
% 4.76/1.19 # ...remaining for further processing : 905
% 4.76/1.19 # Other redundant clauses eliminated : 174
% 4.76/1.19 # Clauses deleted for lack of memory : 0
% 4.76/1.19 # Backward-subsumed : 41
% 4.76/1.19 # Backward-rewritten : 87
% 4.76/1.19 # Generated clauses : 37119
% 4.76/1.19 # ...of the previous two non-redundant : 34730
% 4.76/1.19 # ...aggressively subsumed : 0
% 4.76/1.19 # Contextual simplify-reflections : 234
% 4.76/1.19 # Paramodulations : 36926
% 4.76/1.19 # Factorizations : 20
% 4.76/1.19 # NegExts : 0
% 4.76/1.19 # Equation resolutions : 174
% 4.76/1.19 # Total rewrite steps : 30768
% 4.76/1.19 # Propositional unsat checks : 0
% 4.76/1.19 # Propositional check models : 0
% 4.76/1.19 # Propositional check unsatisfiable : 0
% 4.76/1.19 # Propositional clauses : 0
% 4.76/1.19 # Propositional clauses after purity: 0
% 4.76/1.19 # Propositional unsat core size : 0
% 4.76/1.19 # Propositional preprocessing time : 0.000
% 4.76/1.19 # Propositional encoding time : 0.000
% 4.76/1.19 # Propositional solver time : 0.000
% 4.76/1.19 # Success case prop preproc time : 0.000
% 4.76/1.19 # Success case prop encoding time : 0.000
% 4.76/1.19 # Success case prop solver time : 0.000
% 4.76/1.19 # Current number of processed clauses : 706
% 4.76/1.19 # Positive orientable unit clauses : 86
% 4.76/1.19 # Positive unorientable unit clauses: 0
% 4.76/1.19 # Negative unit clauses : 4
% 4.76/1.19 # Non-unit-clauses : 616
% 4.76/1.19 # Current number of unprocessed clauses: 29618
% 4.76/1.19 # ...number of literals in the above : 193663
% 4.76/1.19 # Current number of archived formulas : 0
% 4.76/1.19 # Current number of archived clauses : 190
% 4.76/1.19 # Clause-clause subsumption calls (NU) : 131960
% 4.76/1.19 # Rec. Clause-clause subsumption calls : 13496
% 4.76/1.19 # Non-unit clause-clause subsumptions : 3115
% 4.76/1.19 # Unit Clause-clause subsumption calls : 1096
% 4.76/1.19 # Rewrite failures with RHS unbound : 0
% 4.76/1.19 # BW rewrite match attempts : 91
% 4.76/1.19 # BW rewrite match successes : 25
% 4.76/1.19 # Condensation attempts : 0
% 4.76/1.19 # Condensation successes : 0
% 4.76/1.19 # Termbank termtop insertions : 860568
% 4.76/1.19
% 4.76/1.19 # -------------------------------------------------
% 4.76/1.19 # User time : 0.516 s
% 4.76/1.19 # System time : 0.018 s
% 4.76/1.19 # Total time : 0.534 s
% 4.76/1.19 # Maximum resident set size: 1892 pages
% 4.76/1.19
% 4.76/1.19 # -------------------------------------------------
% 4.76/1.19 # User time : 2.784 s
% 4.76/1.19 # System time : 0.117 s
% 4.76/1.19 # Total time : 2.901 s
% 4.76/1.19 # Maximum resident set size: 1728 pages
% 4.76/1.19 % E---3.1 exiting
%------------------------------------------------------------------------------