%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : RNG097+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:05:50 PM UTC 2026
% Result : Theorem 0.70s 0.53s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of formulae : 85 ( 43 unt; 0 def)
% Number of atoms : 181 ( 55 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 154 ( 58 ~; 53 |; 28 &)
% ( 0 <=>; 15 =>; 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 : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__1205,hypothesis,
( aIdeal0(xJ)
& ! [X1] :
( aElementOf0(X1,xJ)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),xJ) )
& ! [X2] :
( aElementOf0(X2,xJ)
=> aElementOf0(sdtpldt0(X1,X2),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X1] :
( aElementOf0(X1,xI)
=> ( ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),xI) )
& ! [X2] :
( aElementOf0(X2,xI)
=> aElementOf0(sdtpldt0(X1,X2),xI) ) ) )
& aSet0(xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(m__1294,hypothesis,
( sdtpldt0(xa,xb) = sz10
& aElementOf0(xb,xJ)
& aElementOf0(xa,xI) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1294) ).
fof(mMulMnOne,axiom,
! [X1] :
( aElement0(X1)
=> ( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
& sdtasdt0(smndt0(sz10),X1) = smndt0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMnOne) ).
fof(mSortsU,axiom,
! [X1] :
( aElement0(X1)
=> aElement0(smndt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aElement0(X3)
& aElement0(X2)
& aElement0(X1) )
=> sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(mAddInvr,axiom,
! [X1] :
( aElement0(X1)
=> ( sz00 = sdtpldt0(smndt0(X1),X1)
& sdtpldt0(X1,smndt0(X1)) = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddInvr) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aElement0(X2)
& aElement0(X1) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(mSortsC_01,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(mMulZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sz00 = sdtasdt0(sz00,X1)
& sdtasdt0(X1,sz00) = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(mAddZero,axiom,
! [X1] :
( aElement0(X1)
=> ( X1 = sdtpldt0(sz00,X1)
& sdtpldt0(X1,sz00) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(mSortsC,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(m__,conjecture,
aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__1217,hypothesis,
( aElement0(xy)
& aElement0(xx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1217) ).
fof(c_0_14,hypothesis,
! [X77,X78,X79,X80,X81,X82] :
( aIdeal0(xJ)
& ( ~ aElementOf0(X80,xJ)
| aElementOf0(sdtasdt0(X82,X80),xJ)
| ~ aElement0(X82) )
& ( ~ aElementOf0(X80,xJ)
| aElementOf0(sdtpldt0(X80,X81),xJ)
| ~ aElementOf0(X81,xJ) )
& aSet0(xJ)
& aIdeal0(xI)
& ( ~ aElementOf0(X77,xI)
| aElementOf0(sdtasdt0(X79,X77),xI)
| ~ aElement0(X79) )
& ( ~ aElementOf0(X77,xI)
| aElementOf0(sdtpldt0(X77,X78),xI)
| ~ aElementOf0(X78,xI) )
& aSet0(xI) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1205])])])])]) ).
fof(c_0_15,plain,
! [X34,X35] :
( aElement0(X35)
| ~ aElementOf0(X35,X34)
| ~ aSet0(X34) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])]) ).
cnf(c_0_16,hypothesis,
( ~ aElementOf0(X2,xJ)
| ~ aElement0(X1)
| aElementOf0(sdtasdt0(X1,X2),xJ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,hypothesis,
aElementOf0(xb,xJ),
inference(split_conjunct,[status(thm)],[m__1294]) ).
fof(c_0_18,plain,
! [X29] :
( ( ~ aElement0(X29)
| smndt0(X29) = sdtasdt0(X29,smndt0(sz10)) )
& ( ~ aElement0(X29)
| sdtasdt0(smndt0(sz10),X29) = smndt0(X29) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMnOne])])])]) ).
cnf(c_0_19,plain,
( ~ aElementOf0(X2,X1)
| ~ aSet0(X1)
| aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,hypothesis,
aSet0(xJ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,hypothesis,
( ~ aElement0(X1)
| aElementOf0(sdtasdt0(X1,xb),xJ) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,plain,
( ~ aElement0(X1)
| sdtasdt0(smndt0(sz10),X1) = smndt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,hypothesis,
aElement0(xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_17]),c_0_20])]) ).
fof(c_0_24,plain,
! [X8] :
( aElement0(smndt0(X8))
| ~ aElement0(X8) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsU])])]) ).
fof(c_0_25,plain,
! [X15,X16,X17] :
( sdtpldt0(sdtpldt0(X15,X16),X17) = sdtpldt0(X15,sdtpldt0(X16,X17))
| ~ aElement0(X17)
| ~ aElement0(X16)
| ~ aElement0(X15) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])])]) ).
fof(c_0_26,plain,
! [X19] :
( ( ~ aElement0(X19)
| sz00 = sdtpldt0(smndt0(X19),X19) )
& ( ~ aElement0(X19)
| sdtpldt0(X19,smndt0(X19)) = sz00 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddInvr])])])]) ).
fof(c_0_27,plain,
! [X13,X14] :
( sdtpldt0(X13,X14) = sdtpldt0(X14,X13)
| ~ aElement0(X14)
| ~ aElement0(X13) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])])]) ).
cnf(c_0_28,hypothesis,
aElementOf0(xa,xI),
inference(split_conjunct,[status(thm)],[m__1294]) ).
cnf(c_0_29,hypothesis,
aSet0(xI),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_30,hypothesis,
( ~ aElement0(smndt0(sz10))
| aElementOf0(smndt0(xb),xJ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_31,plain,
( ~ aElement0(X1)
| aElement0(smndt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,plain,
aElement0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
cnf(c_0_33,hypothesis,
( ~ aElementOf0(X2,xI)
| ~ aElement0(X1)
| aElementOf0(sdtasdt0(X1,X2),xI) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_34,plain,
( ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
( ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,hypothesis,
sdtpldt0(xa,xb) = sz10,
inference(split_conjunct,[status(thm)],[m__1294]) ).
cnf(c_0_37,plain,
( ~ aElement0(X2)
| ~ aElement0(X1)
| sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,hypothesis,
aElement0(xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_28]),c_0_29])]) ).
cnf(c_0_39,hypothesis,
aElementOf0(smndt0(xb),xJ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_40,hypothesis,
( ~ aElement0(X1)
| aElementOf0(sdtasdt0(X1,xa),xI) ),
inference(spm,[status(thm)],[c_0_33,c_0_28]) ).
cnf(c_0_41,plain,
( ~ aElement0(X1)
| ~ aElement0(X2)
| sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_31]) ).
cnf(c_0_42,hypothesis,
sdtpldt0(xb,xa) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_23])]) ).
cnf(c_0_43,hypothesis,
( ~ aElement0(X1)
| sdtpldt0(xa,sdtpldt0(xb,X1)) = sdtpldt0(sz10,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_36]),c_0_23]),c_0_38])]) ).
cnf(c_0_44,plain,
( ~ aElement0(X1)
| sdtpldt0(X1,smndt0(X1)) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_45,hypothesis,
aElement0(smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_39]),c_0_20])]) ).
fof(c_0_46,plain,
! [X30] :
( ( ~ aElement0(X30)
| sz00 = sdtasdt0(sz00,X30) )
& ( ~ aElement0(X30)
| sdtasdt0(X30,sz00) = sz00 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])])]) ).
cnf(c_0_47,hypothesis,
( ~ aElement0(smndt0(sz10))
| aElementOf0(smndt0(xa),xI) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_22]),c_0_38])]) ).
fof(c_0_48,plain,
! [X18] :
( ( ~ aElement0(X18)
| X18 = sdtpldt0(sz00,X18) )
& ( ~ aElement0(X18)
| sdtpldt0(X18,sz00) = X18 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])])]) ).
cnf(c_0_49,hypothesis,
sdtpldt0(smndt0(xb),sz10) = sdtpldt0(sz00,xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_38]),c_0_23])]) ).
cnf(c_0_50,hypothesis,
sdtpldt0(sz10,smndt0(xb)) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_23])]) ).
cnf(c_0_51,plain,
( ~ aElement0(X1)
| smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_52,plain,
( ~ aElement0(X1)
| sz00 = sdtasdt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_53,plain,
aElement0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
cnf(c_0_54,hypothesis,
aElementOf0(smndt0(xa),xI),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_31]),c_0_32])]) ).
cnf(c_0_55,plain,
( ~ aElement0(X1)
| sdtpldt0(X1,sz00) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_56,hypothesis,
sdtpldt0(xa,sz00) = sdtpldt0(sz00,xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_49]),c_0_50]),c_0_32]),c_0_45])]) ).
cnf(c_0_57,plain,
( ~ aElement0(smndt0(sz10))
| smndt0(sz00) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_58,hypothesis,
( ~ aElement0(X1)
| sdtpldt0(xb,sdtpldt0(xa,X1)) = sdtpldt0(sz10,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_42]),c_0_38]),c_0_23])]) ).
cnf(c_0_59,hypothesis,
aElement0(smndt0(xa)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_54]),c_0_29])]) ).
cnf(c_0_60,hypothesis,
sdtpldt0(sz00,xa) = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_38])]) ).
cnf(c_0_61,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_31]),c_0_32])]) ).
cnf(c_0_62,hypothesis,
sdtpldt0(smndt0(xa),sz10) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_36]),c_0_23]),c_0_38])]) ).
cnf(c_0_63,hypothesis,
sdtpldt0(sz10,smndt0(xa)) = sdtpldt0(xb,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_44]),c_0_59]),c_0_38])]) ).
cnf(c_0_64,hypothesis,
sdtpldt0(xa,sz00) = xa,
inference(rw,[status(thm)],[c_0_56,c_0_60]) ).
cnf(c_0_65,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_61]),c_0_53])]) ).
cnf(c_0_66,hypothesis,
sdtpldt0(xb,sz00) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_62]),c_0_63]),c_0_32]),c_0_59])]) ).
cnf(c_0_67,hypothesis,
sdtpldt0(smndt0(xa),xa) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_64]),c_0_65]),c_0_53]),c_0_38])]) ).
cnf(c_0_68,hypothesis,
sdtpldt0(sz00,xb) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_66]),c_0_23])]) ).
cnf(c_0_69,hypothesis,
sdtpldt0(xa,smndt0(xa)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_67]),c_0_38]),c_0_59])]) ).
cnf(c_0_70,hypothesis,
sdtpldt0(sz10,smndt0(xa)) = xb,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_66]),c_0_68]) ).
cnf(c_0_71,hypothesis,
sdtpldt0(smndt0(xa),sz00) = sdtpldt0(sz00,smndt0(xa)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_69]),c_0_59]),c_0_38])]) ).
fof(c_0_72,negated_conjecture,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_73,hypothesis,
sdtpldt0(smndt0(sz10),xb) = sdtpldt0(sz00,smndt0(xa)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_70]),c_0_59]),c_0_32])]) ).
cnf(c_0_74,hypothesis,
sdtpldt0(sz00,smndt0(xa)) = smndt0(xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_71]),c_0_59])]) ).
fof(c_0_75,negated_conjecture,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(fof_simplification,[status(thm)],[c_0_72]) ).
cnf(c_0_76,hypothesis,
sdtpldt0(smndt0(sz10),xb) = smndt0(xa),
inference(rw,[status(thm)],[c_0_73,c_0_74]) ).
fof(c_0_77,negated_conjecture,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(fof_nnf,[status(thm)],[c_0_75]) ).
cnf(c_0_78,hypothesis,
( ~ aElement0(smndt0(sz10))
| sdtpldt0(xb,smndt0(sz10)) = smndt0(xa) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_76]),c_0_23])]) ).
cnf(c_0_79,negated_conjecture,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_80,hypothesis,
sdtpldt0(xb,smndt0(sz10)) = smndt0(xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_31]),c_0_32])]) ).
cnf(c_0_81,negated_conjecture,
~ aElementOf0(sdtasdt0(xx,smndt0(xa)),xI),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_82,hypothesis,
( ~ aElement0(X1)
| aElementOf0(sdtasdt0(X1,smndt0(xa)),xI) ),
inference(spm,[status(thm)],[c_0_33,c_0_54]) ).
cnf(c_0_83,hypothesis,
aElement0(xx),
inference(split_conjunct,[status(thm)],[m__1217]) ).
cnf(c_0_84,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG097+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 04:14:43 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.70/0.53 % Version: 3.5.1
% 0.70/0.53 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.70/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.70/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.70/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.70/0.53 % Starting new_bool_1 with 300s (1) cores
% 0.70/0.53 % Starting sh5l with 300s (1) cores
% 0.70/0.53 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1405475 completed with status 0
% 0.70/0.53 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.70/0.53 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.70/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.70/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.70/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.70/0.53 % No SInE strategy applied
% 0.70/0.53 % Search class: FGUSF-FFMM32-MFFFFFNN
% 0.70/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.70/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.70/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.70/0.53 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.70/0.53 % Starting new_bool_3 with 136s (1) cores
% 0.70/0.53 % Starting new_bool_1 with 136s (1) cores
% 0.70/0.53 % new_bool_3 with pid 1405485 completed with status 0
% 0.70/0.53 % Result found by new_bool_3
% 0.70/0.53 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.70/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.70/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.70/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.70/0.53 % No SInE strategy applied
% 0.70/0.53 % Search class: FGUSF-FFMM32-MFFFFFNN
% 0.70/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.70/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.70/0.53 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.70/0.53 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.70/0.53 % Starting new_bool_3 with 136s (1) cores
% 0.70/0.53 % Preprocessing time : 0.001 s
% 0.70/0.53 % Presaturation interreduction done
% 0.70/0.53
% 0.70/0.53 % Proof found!
% 0.70/0.53 % SZS status Theorem
% 0.70/0.53 % SZS output start CNFRefutation
% See solution above
% 0.70/0.53 % Parsed axioms : 34
% 0.70/0.53 % Removed by relevancy pruning/SinE : 0
% 0.70/0.53 % Initial clauses : 78
% 0.70/0.53 % Removed in clause preprocessing : 2
% 0.70/0.53 % Initial clauses in saturation : 76
% 0.70/0.53 % Processed clauses : 1258
% 0.70/0.53 % ...of these trivial : 118
% 0.70/0.53 % ...subsumed : 281
% 0.70/0.53 % ...remaining for further processing : 859
% 0.70/0.53 % Other redundant clauses eliminated : 13
% 0.70/0.53 % Clauses deleted for lack of memory : 0
% 0.70/0.53 % Backward-subsumed : 6
% 0.70/0.53 % Backward-rewritten : 139
% 0.70/0.53 % Generated clauses : 9231
% 0.70/0.53 % ...of the previous two non-redundant : 7084
% 0.70/0.53 % ...aggressively subsumed : 0
% 0.70/0.53 % Contextual simplify-reflections : 38
% 0.70/0.53 % Paramodulations : 9215
% 0.70/0.53 % Factorizations : 4
% 0.70/0.53 % NegExts : 0
% 0.70/0.53 % Equation resolutions : 13
% 0.70/0.53 % Disequality decompositions : 0
% 0.70/0.53 % Total rewrite steps : 11629
% 0.70/0.53 % ...of those cached : 11226
% 0.70/0.53 % Propositional unsat checks : 0
% 0.70/0.53 % Propositional check models : 0
% 0.70/0.53 % Propositional check unsatisfiable : 0
% 0.70/0.53 % Propositional clauses : 0
% 0.70/0.53 % Propositional clauses after purity: 0
% 0.70/0.53 % Propositional unsat core size : 0
% 0.70/0.53 % Propositional preprocessing time : 0.000
% 0.70/0.53 % Propositional encoding time : 0.000
% 0.70/0.53 % Propositional solver time : 0.000
% 0.70/0.53 % Success case prop preproc time : 0.000
% 0.70/0.53 % Success case prop encoding time : 0.000
% 0.70/0.53 % Success case prop solver time : 0.000
% 0.70/0.53 % Current number of processed clauses : 629
% 0.70/0.53 % Positive orientable unit clauses : 399
% 0.70/0.53 % Positive unorientable unit clauses: 0
% 0.70/0.53 % Negative unit clauses : 3
% 0.70/0.53 % Non-unit-clauses : 227
% 0.70/0.53 % Current number of unprocessed clauses: 5902
% 0.70/0.53 % ...number of literals in the above : 15316
% 0.70/0.53 % Current number of archived formulas : 0
% 0.70/0.53 % Current number of archived clauses : 221
% 0.70/0.53 % Clause-clause subsumption calls (NU) : 7504
% 0.70/0.53 % Rec. Clause-clause subsumption calls : 5256
% 0.70/0.53 % Non-unit clause-clause subsumptions : 324
% 0.70/0.53 % Unit Clause-clause subsumption calls : 2405
% 0.70/0.53 % Rewrite failures with RHS unbound : 0
% 0.70/0.53 % BW rewrite match attempts : 3192
% 0.70/0.53 % BW rewrite match successes : 65
% 0.70/0.53 % Condensation attempts : 0
% 0.70/0.53 % Condensation successes : 0
% 0.70/0.53 % Termbank termtop insertions : 159141
% 0.70/0.53 % Search garbage collected termcells : 1209
% 0.70/0.53
% 0.70/0.53 % -------------------------------------------------
% 0.70/0.53 % User time : 0.098 s
% 0.70/0.53 % System time : 0.008 s
% 0.70/0.53 % Total time : 0.105 s
% 0.70/0.53 % Maximum resident set size: 3424 pages
% 0.70/0.53
% 0.70/0.53 % -------------------------------------------------
% 0.70/0.53 % User time : 0.434 s
% 0.70/0.53 % System time : 0.035 s
% 0.70/0.53 % Total time : 0.469 s
% 0.70/0.53 % Maximum resident set size: 4864 pages
% 0.70/0.53 % E exiting
%------------------------------------------------------------------------------