%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : RNG094+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 : n001.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 02:05:49 PM UTC 2026
% Result : Theorem 249.88s 34.30s
% Output : CNFRefutation 249.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 22
% Syntax : Number of formulae : 138 ( 25 unt; 0 def)
% Number of atoms : 416 ( 98 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 495 ( 217 ~; 203 |; 51 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 180 ( 0 sgn 69 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mAddZero,axiom,
! [X1] :
( aElement0(X1)
=> ( X1 = sdtpldt0(sz00,X1)
& sdtpldt0(X1,sz00) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
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(mAMDistr,axiom,
! [X1,X2,X3] :
( ( aElement0(X3)
& aElement0(X2)
& aElement0(X1) )
=> ( sdtasdt0(sdtpldt0(X2,X3),X1) = sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))
& sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(mMulUnit,axiom,
! [X1] :
( aElement0(X1)
=> ( X1 = sdtasdt0(sz10,X1)
& sdtasdt0(X1,sz10) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulUnit) ).
fof(mUnNeZr,axiom,
sz10 != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnNeZr) ).
fof(mSortsC,axiom,
aElement0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(mSortsU,axiom,
! [X1] :
( aElement0(X1)
=> aElement0(smndt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
fof(mCancel,axiom,
! [X1,X2] :
( ( aElement0(X2)
& aElement0(X1) )
=> ( sdtasdt0(X1,X2) = sz00
=> ( X2 = sz00
| X1 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCancel) ).
fof(mSortsC_01,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aElement0(X2)
& aElement0(X1) )
=> aElement0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(mSortsB_02,axiom,
! [X1,X2] :
( ( aElement0(X2)
& aElement0(X1) )
=> aElement0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(mMulZero,axiom,
! [X1] :
( aElement0(X1)
=> ( sz00 = sdtasdt0(sz00,X1)
& sdtasdt0(X1,sz00) = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aElement0(X3)
& aElement0(X2)
& aElement0(X1) )
=> sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
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(mMulComm,axiom,
! [X1,X2] :
( ( aElement0(X2)
& aElement0(X1) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(m__,conjecture,
? [X1] :
( ( sdteqdtlpzmzozddtrp0(X1,xy,xJ)
| aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ) )
& ( sdteqdtlpzmzozddtrp0(X1,xx,xI)
| aElementOf0(sdtpldt0(X1,smndt0(xx)),xI) )
& aElement0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
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(m__1217,hypothesis,
( aElement0(xy)
& aElement0(xx) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1217) ).
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(m__1205_03,hypothesis,
! [X1] :
( aElement0(X1)
=> ( aElementOf0(X1,sdtpldt1(xI,xJ))
& ? [X2,X3] :
( sdtpldt0(X2,X3) = X1
& aElementOf0(X3,xJ)
& aElementOf0(X2,xI) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205_03) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aElement0(X2)
& aElement0(X1) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(c_0_22,plain,
! [X73] :
( ( ~ aElement0(X73)
| X73 = sdtpldt0(sz00,X73) )
& ( ~ aElement0(X73)
| sdtpldt0(X73,sz00) = X73 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])])]) ).
fof(c_0_23,plain,
! [X71] :
( ( ~ aElement0(X71)
| sz00 = sdtpldt0(smndt0(X71),X71) )
& ( ~ aElement0(X71)
| sdtpldt0(X71,smndt0(X71)) = sz00 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddInvr])])])]) ).
fof(c_0_24,plain,
! [X38,X39,X40] :
( ( ~ aElement0(X40)
| ~ aElement0(X39)
| ~ aElement0(X38)
| sdtasdt0(sdtpldt0(X39,X40),X38) = sdtpldt0(sdtasdt0(X39,X38),sdtasdt0(X40,X38)) )
& ( ~ aElement0(X40)
| ~ aElement0(X39)
| ~ aElement0(X38)
| sdtasdt0(X38,sdtpldt0(X39,X40)) = sdtpldt0(sdtasdt0(X38,X39),sdtasdt0(X38,X40)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])])]) ).
fof(c_0_25,plain,
! [X77] :
( ( ~ aElement0(X77)
| X77 = sdtasdt0(sz10,X77) )
& ( ~ aElement0(X77)
| sdtasdt0(X77,sz10) = X77 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulUnit])])])]) ).
fof(c_0_26,plain,
sz10 != sz00,
inference(fof_simplification,[status(thm)],[mUnNeZr]) ).
cnf(c_0_27,plain,
( ~ aElement0(X1)
| sdtpldt0(X1,sz00) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
( ~ aElement0(X1)
| sz00 = sdtpldt0(smndt0(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
aElement0(sz00),
inference(split_conjunct,[status(thm)],[mSortsC]) ).
fof(c_0_30,plain,
! [X70] :
( aElement0(smndt0(X70))
| ~ aElement0(X70) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsU])])]) ).
fof(c_0_31,plain,
! [X75,X76] :
( X76 = sz00
| X75 = sz00
| sdtasdt0(X75,X76) != sz00
| ~ aElement0(X76)
| ~ aElement0(X75) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCancel])])]) ).
cnf(c_0_32,plain,
( ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,plain,
( ~ aElement0(X1)
| X1 = sdtasdt0(sz10,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
aElement0(sz10),
inference(split_conjunct,[status(thm)],[mSortsC_01]) ).
fof(c_0_35,plain,
sz10 != sz00,
inference(fof_nnf,[status(thm)],[c_0_26]) ).
fof(c_0_36,plain,
! [X42,X43] :
( aElement0(sdtpldt0(X42,X43))
| ~ aElement0(X43)
| ~ aElement0(X42) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])])]) ).
fof(c_0_37,plain,
! [X31,X32] :
( aElement0(sdtasdt0(X31,X32))
| ~ aElement0(X32)
| ~ aElement0(X31) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB_02])])]) ).
cnf(c_0_38,plain,
( ~ aElement0(smndt0(sz00))
| smndt0(sz00) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_39,plain,
( ~ aElement0(X1)
| aElement0(smndt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,plain,
( sdtasdt0(X1,X2) != sz00
| ~ aElement0(X2)
| ~ aElement0(X1)
| X2 = sz00
| X1 = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,plain,
( ~ aElement0(X1)
| ~ aElement0(X2)
| sdtasdt0(sz10,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(sz10,X1),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_42,plain,
sz10 != sz00,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,plain,
( ~ aElement0(X2)
| ~ aElement0(X1)
| aElement0(sdtpldt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_44,plain,
! [X74] :
( ( ~ aElement0(X74)
| sz00 = sdtasdt0(sz00,X74) )
& ( ~ aElement0(X74)
| sdtasdt0(X74,sz00) = sz00 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulZero])])])]) ).
fof(c_0_45,plain,
! [X35,X36,X37] :
( sdtasdt0(sdtasdt0(X35,X36),X37) = sdtasdt0(X35,sdtasdt0(X36,X37))
| ~ aElement0(X37)
| ~ aElement0(X36)
| ~ aElement0(X35) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])])]) ).
cnf(c_0_46,plain,
( ~ aElement0(X2)
| ~ aElement0(X1)
| aElement0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_29])]) ).
fof(c_0_48,plain,
! [X46,X47,X48] :
( sdtpldt0(sdtpldt0(X46,X47),X48) = sdtpldt0(X46,sdtpldt0(X47,X48))
| ~ aElement0(X48)
| ~ aElement0(X47)
| ~ aElement0(X46) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])])]) ).
cnf(c_0_49,plain,
( ~ aElement0(X1)
| ~ aElement0(X2)
| sdtpldt0(sdtasdt0(sz10,X1),X2) != sz00
| sdtpldt0(X1,X2) = sz00 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_34])]),c_0_42]),c_0_43]) ).
cnf(c_0_50,plain,
( ~ aElement0(X1)
| sdtasdt0(X1,sz00) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,plain,
( ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,plain,
( ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| aElement0(sdtasdt0(X1,sdtpldt0(X2,X3))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_32]),c_0_46]),c_0_46]) ).
cnf(c_0_53,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_47]),c_0_29])]) ).
cnf(c_0_54,plain,
( ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,plain,
( ~ aElement0(X1)
| ~ aElement0(sdtasdt0(sz10,X1))
| sdtasdt0(sz10,X1) != sz00
| sdtpldt0(X1,sz00) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_27]),c_0_29])]) ).
cnf(c_0_56,plain,
( ~ aElement0(X1)
| ~ aElement0(X2)
| sdtasdt0(X1,sdtasdt0(X2,sz00)) = sz00 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_29])]),c_0_46]) ).
cnf(c_0_57,plain,
( ~ aElement0(X1)
| aElement0(sdtasdt0(X1,sz00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_29])]) ).
cnf(c_0_58,plain,
( ~ aElement0(X1)
| ~ aElement0(X2)
| sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_28]),c_0_39]) ).
cnf(c_0_59,plain,
( ~ aElement0(X1)
| sdtpldt0(sdtasdt0(X1,sz00),sz00) = sz00 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_29]),c_0_34])]),c_0_57]) ).
cnf(c_0_60,plain,
( ~ aElement0(X1)
| sdtpldt0(smndt0(sdtasdt0(X1,sz00)),sz00) = sz00 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_53]),c_0_29])]),c_0_57]) ).
cnf(c_0_61,plain,
( ~ aElement0(X1)
| ~ aElement0(smndt0(sdtasdt0(X1,sz00)))
| smndt0(sdtasdt0(X1,sz00)) = sz00 ),
inference(spm,[status(thm)],[c_0_27,c_0_60]) ).
fof(c_0_62,plain,
! [X33,X34] :
( sdtasdt0(X33,X34) = sdtasdt0(X34,X33)
| ~ aElement0(X34)
| ~ aElement0(X33) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])])]) ).
cnf(c_0_63,plain,
( ~ aElement0(X1)
| smndt0(sdtasdt0(X1,sz00)) = sz00 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_39]),c_0_57]) ).
cnf(c_0_64,plain,
( ~ aElement0(X2)
| ~ aElement0(X1)
| sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_65,plain,
( ~ aElement0(X1)
| sdtasdt0(X1,sz10) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_66,plain,
( ~ aElement0(X1)
| smndt0(sdtasdt0(sz00,X1)) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_29])]) ).
cnf(c_0_67,plain,
( ~ aElement0(X1)
| ~ aElement0(X2)
| sdtpldt0(X1,sdtasdt0(X1,X2)) = sdtasdt0(X1,sdtpldt0(sz10,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_65]),c_0_34])]) ).
cnf(c_0_68,plain,
( ~ aElement0(X1)
| ~ aElement0(sdtpldt0(sz10,X1))
| smndt0(sdtpldt0(sz00,sdtasdt0(sz00,X1))) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_29])]) ).
cnf(c_0_69,plain,
smndt0(sdtpldt0(sz00,sdtasdt0(sz00,sz00))) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_27]),c_0_34]),c_0_29])]) ).
cnf(c_0_70,plain,
( ~ aElement0(X1)
| X1 = sdtpldt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_71,plain,
( ~ aElement0(sdtasdt0(sz00,sz00))
| smndt0(sdtasdt0(sz00,sz00)) = sz00 ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_72,plain,
( ~ aElement0(X1)
| sdtpldt0(X1,smndt0(X1)) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_73,plain,
smndt0(sdtasdt0(sz00,sz00)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_46]),c_0_29])]) ).
cnf(c_0_74,plain,
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X3)
| sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_75,plain,
( ~ aElement0(sdtasdt0(sz00,sz00))
| sdtpldt0(sdtasdt0(sz00,sz00),sz00) = sz00 ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_76,plain,
( ~ aElement0(X1)
| ~ aElement0(X2)
| sdtasdt0(sdtpldt0(X1,X2),sz00) = sdtpldt0(sdtasdt0(X1,sz00),sz00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_50]),c_0_29])]) ).
cnf(c_0_77,plain,
sdtpldt0(sdtasdt0(sz00,sz00),sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_46]),c_0_29])]) ).
cnf(c_0_78,plain,
( ~ aElement0(X1)
| ~ aElement0(X2)
| sdtasdt0(sz10,sdtasdt0(X1,X2)) = sdtasdt0(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_33]),c_0_34])]) ).
cnf(c_0_79,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_53]),c_0_77]),c_0_29])]) ).
fof(c_0_80,negated_conjecture,
~ ? [X1] :
( ( sdteqdtlpzmzozddtrp0(X1,xy,xJ)
| aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ) )
& ( sdteqdtlpzmzozddtrp0(X1,xx,xI)
| aElementOf0(sdtpldt0(X1,smndt0(xx)),xI) )
& aElement0(X1) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_81,plain,
sdtasdt0(sz10,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_29])]) ).
fof(c_0_82,negated_conjecture,
! [X16] :
( ( ~ aElement0(X16)
| ~ sdteqdtlpzmzozddtrp0(X16,xx,xI)
| ~ sdteqdtlpzmzozddtrp0(X16,xy,xJ) )
& ( ~ aElement0(X16)
| ~ sdteqdtlpzmzozddtrp0(X16,xx,xI)
| ~ aElementOf0(sdtpldt0(X16,smndt0(xy)),xJ) )
& ( ~ aElement0(X16)
| ~ aElementOf0(sdtpldt0(X16,smndt0(xx)),xI)
| ~ sdteqdtlpzmzozddtrp0(X16,xy,xJ) )
& ( ~ aElement0(X16)
| ~ aElementOf0(sdtpldt0(X16,smndt0(xx)),xI)
| ~ aElementOf0(sdtpldt0(X16,smndt0(xy)),xJ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])])])]) ).
cnf(c_0_83,plain,
( ~ aElement0(X1)
| ~ aElement0(X2)
| sdtasdt0(sdtpldt0(X1,X2),sz10) = sdtpldt0(X1,sdtasdt0(X2,sz10)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_65]),c_0_34])]) ).
cnf(c_0_84,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_81]),c_0_29]),c_0_34])]) ).
cnf(c_0_85,negated_conjecture,
( ~ aElement0(X1)
| ~ aElementOf0(sdtpldt0(X1,smndt0(xx)),xI)
| ~ aElementOf0(sdtpldt0(X1,smndt0(xy)),xJ) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_86,plain,
( ~ aElement0(X1)
| sdtasdt0(X1,sz10) = sdtpldt0(X1,sz00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_27]),c_0_84]),c_0_29])]) ).
fof(c_0_87,plain,
! [X72] :
( ( ~ aElement0(X72)
| smndt0(X72) = sdtasdt0(X72,smndt0(sz10)) )
& ( ~ aElement0(X72)
| sdtasdt0(smndt0(sz10),X72) = smndt0(X72) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMnOne])])])]) ).
cnf(c_0_88,negated_conjecture,
( ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(smndt0(xx))
| ~ aElementOf0(sdtpldt0(sdtpldt0(X1,X2),smndt0(xy)),xJ)
| ~ aElementOf0(sdtpldt0(X1,sdtpldt0(X2,smndt0(xx))),xI) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_54]),c_0_43]) ).
cnf(c_0_89,hypothesis,
aElement0(xx),
inference(split_conjunct,[status(thm)],[m__1217]) ).
fof(c_0_90,hypothesis,
! [X7,X8,X9,X10,X11,X12] :
( aIdeal0(xJ)
& ( ~ aElementOf0(X10,xJ)
| aElementOf0(sdtasdt0(X12,X10),xJ)
| ~ aElement0(X12) )
& ( ~ aElementOf0(X10,xJ)
| aElementOf0(sdtpldt0(X10,X11),xJ)
| ~ aElementOf0(X11,xJ) )
& aSet0(xJ)
& aIdeal0(xI)
& ( ~ aElementOf0(X7,xI)
| aElementOf0(sdtasdt0(X9,X7),xI)
| ~ aElement0(X9) )
& ( ~ aElementOf0(X7,xI)
| aElementOf0(sdtpldt0(X7,X8),xI)
| ~ aElementOf0(X8,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_91,hypothesis,
! [X13] :
( ( ~ aElement0(X13)
| aElementOf0(X13,sdtpldt1(xI,xJ)) )
& ( ~ aElement0(X13)
| sdtpldt0(esk1_1(X13),esk2_1(X13)) = X13 )
& ( ~ aElement0(X13)
| aElementOf0(esk2_1(X13),xJ) )
& ( ~ aElement0(X13)
| aElementOf0(esk1_1(X13),xI) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__1205_03])])])])]) ).
cnf(c_0_92,plain,
( ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| aElement0(sdtasdt0(sdtpldt0(X1,X2),X3)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_74]),c_0_46]),c_0_46]) ).
cnf(c_0_93,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_86]),c_0_34])]) ).
cnf(c_0_94,plain,
( ~ aElement0(X1)
| smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
fof(c_0_95,plain,
! [X25,X26] :
( aElement0(X26)
| ~ aElementOf0(X26,X25)
| ~ aSet0(X25) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])]) ).
cnf(c_0_96,negated_conjecture,
( ~ aElement0(X1)
| ~ aElement0(smndt0(xx))
| ~ aElementOf0(sdtpldt0(X1,sz00),xI)
| ~ aElementOf0(sdtpldt0(sdtpldt0(X1,xx),smndt0(xy)),xJ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_72]),c_0_89])]) ).
cnf(c_0_97,hypothesis,
( ~ aElementOf0(X2,xI)
| ~ aElement0(X1)
| aElementOf0(sdtasdt0(X1,X2),xI) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_98,hypothesis,
( ~ aElement0(X1)
| aElementOf0(esk1_1(X1),xI) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_99,plain,
( ~ aElement0(X1)
| aElement0(sdtasdt0(sz10,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_29]),c_0_34])]) ).
cnf(c_0_100,plain,
( ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X3,sdtasdt0(X1,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_51]),c_0_46]) ).
cnf(c_0_101,plain,
( ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(smndt0(sz10))
| sdtasdt0(X1,sdtasdt0(X2,smndt0(sz10))) = smndt0(sdtasdt0(X1,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_51]),c_0_46]) ).
cnf(c_0_102,plain,
( ~ aElementOf0(X2,X1)
| ~ aSet0(X1)
| aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_103,hypothesis,
aSet0(xI),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_104,negated_conjecture,
( ~ aElement0(X1)
| ~ aElement0(smndt0(xx))
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(sdtpldt0(sdtpldt0(X1,xx),smndt0(xy)),xJ) ),
inference(spm,[status(thm)],[c_0_96,c_0_27]) ).
cnf(c_0_105,hypothesis,
( ~ aElement0(X2)
| ~ aElement0(X1)
| aElementOf0(sdtasdt0(X1,esk1_1(X2)),xI) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_106,plain,
( ~ aElement0(X2)
| ~ aElement0(X1)
| aElement0(sdtasdt0(X1,sdtasdt0(sz10,X2))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_34])]),c_0_46]) ).
cnf(c_0_107,plain,
( ~ aElement0(X1)
| ~ aElement0(X2)
| sdtasdt0(X1,sdtasdt0(X2,smndt0(sz10))) = smndt0(sdtasdt0(X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_39]),c_0_34])]) ).
cnf(c_0_108,plain,
( ~ aElement0(X1)
| sdtasdt0(smndt0(sz10),X1) = smndt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_109,hypothesis,
( ~ aElement0(X1)
| aElement0(esk1_1(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_98]),c_0_103])]) ).
cnf(c_0_110,negated_conjecture,
( ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(smndt0(xx))
| ~ aElement0(sdtasdt0(X1,esk1_1(X2)))
| ~ aElementOf0(sdtpldt0(sdtpldt0(sdtasdt0(X1,esk1_1(X2)),xx),smndt0(xy)),xJ) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_111,plain,
( ~ aElement0(X1)
| ~ aElement0(smndt0(sz10))
| aElement0(smndt0(sdtasdt0(X1,sz10))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_34])]) ).
cnf(c_0_112,hypothesis,
( ~ aElement0(X1)
| ~ aElement0(smndt0(sz10))
| aElementOf0(smndt0(esk1_1(X1)),xI) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_108]),c_0_109]) ).
cnf(c_0_113,hypothesis,
( ~ aElementOf0(X2,xJ)
| ~ aElement0(X1)
| aElementOf0(sdtasdt0(X1,X2),xJ) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_114,hypothesis,
( ~ aElement0(X1)
| aElementOf0(esk2_1(X1),xJ) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_115,hypothesis,
aSet0(xJ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_116,negated_conjecture,
( ~ aElement0(X1)
| ~ aElement0(smndt0(sz10))
| ~ aElement0(smndt0(xx))
| ~ aElement0(smndt0(esk1_1(X1)))
| ~ aElementOf0(sdtpldt0(sdtpldt0(smndt0(esk1_1(X1)),xx),smndt0(xy)),xJ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_108]),c_0_109]) ).
cnf(c_0_117,plain,
( ~ aElement0(X1)
| aElement0(smndt0(sdtasdt0(X1,sz10))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_39]),c_0_34])]) ).
cnf(c_0_118,hypothesis,
( ~ aElement0(X1)
| aElementOf0(smndt0(esk1_1(X1)),xI) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_39]),c_0_34])]) ).
cnf(c_0_119,hypothesis,
( ~ aElement0(X2)
| ~ aElement0(X1)
| aElementOf0(sdtasdt0(X1,esk2_1(X2)),xJ) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_120,plain,
( ~ aElement0(X1)
| sdtasdt0(sz10,X1) = sdtpldt0(X1,sz00) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_86]),c_0_34])]) ).
cnf(c_0_121,hypothesis,
( ~ aElement0(X1)
| aElement0(esk2_1(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_114]),c_0_115])]) ).
fof(c_0_122,plain,
! [X44,X45] :
( sdtpldt0(X44,X45) = sdtpldt0(X45,X44)
| ~ aElement0(X45)
| ~ aElement0(X44) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])])]) ).
cnf(c_0_123,negated_conjecture,
( ~ aElement0(X1)
| ~ aElement0(smndt0(xy))
| ~ aElement0(smndt0(sz10))
| ~ aElement0(smndt0(xx))
| ~ aElement0(smndt0(esk1_1(X1)))
| ~ aElementOf0(sdtpldt0(smndt0(esk1_1(X1)),sdtpldt0(xx,smndt0(xy))),xJ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_54]),c_0_89])]) ).
cnf(c_0_124,plain,
aElement0(smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_33]),c_0_34])]) ).
cnf(c_0_125,hypothesis,
( ~ aElement0(X1)
| aElement0(smndt0(esk1_1(X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_118]),c_0_103])]) ).
cnf(c_0_126,hypothesis,
( ~ aElement0(X1)
| sdtpldt0(esk1_1(X1),esk2_1(X1)) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_127,hypothesis,
( ~ aElement0(X1)
| aElementOf0(sdtpldt0(esk2_1(X1),sz00),xJ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_34])]),c_0_121]) ).
cnf(c_0_128,plain,
( ~ aElement0(X2)
| ~ aElement0(X1)
| sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_129,negated_conjecture,
( ~ aElement0(X1)
| ~ aElement0(smndt0(xy))
| ~ aElement0(smndt0(xx))
| ~ aElementOf0(sdtpldt0(smndt0(esk1_1(X1)),sdtpldt0(xx,smndt0(xy))),xJ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124])]),c_0_125]) ).
cnf(c_0_130,hypothesis,
( ~ aElement0(X1)
| sdtpldt0(smndt0(esk1_1(X1)),X1) = sdtpldt0(sz00,esk2_1(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_126]),c_0_109]),c_0_121]) ).
cnf(c_0_131,hypothesis,
( ~ aElement0(X1)
| aElementOf0(sdtpldt0(sz00,esk2_1(X1)),xJ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_29])]),c_0_121]) ).
cnf(c_0_132,hypothesis,
( ~ aElement0(smndt0(xy))
| ~ aElement0(smndt0(xx))
| ~ aElement0(sdtpldt0(xx,smndt0(xy))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]) ).
cnf(c_0_133,hypothesis,
( ~ aElement0(smndt0(xy))
| ~ aElement0(sdtpldt0(xx,smndt0(xy))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_39]),c_0_89])]) ).
cnf(c_0_134,hypothesis,
aElement0(xy),
inference(split_conjunct,[status(thm)],[m__1217]) ).
cnf(c_0_135,hypothesis,
~ aElement0(sdtpldt0(xx,smndt0(xy))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_39]),c_0_134])]) ).
cnf(c_0_136,hypothesis,
~ aElement0(smndt0(xy)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_43]),c_0_89])]) ).
cnf(c_0_137,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_39]),c_0_134])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : RNG094+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n001.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 04:24:43 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.53 Running first-order theorem proving
% 0.24/0.53 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
% 249.88/34.30 % Version: 3.5.1
% 249.88/34.30 % Preprocessing class: FSMSSMSSSSSNFFN.
% 249.88/34.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 249.88/34.30 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 249.88/34.30 % Starting new_bool_3 with 300s (1) cores
% 249.88/34.30 % Starting new_bool_1 with 300s (1) cores
% 249.88/34.30 % Starting sh5l with 300s (1) cores
% 249.88/34.30 % new_bool_3 with pid 2177911 completed with status 0
% 249.88/34.30 % Result found by new_bool_3
% 249.88/34.30 % Preprocessing class: FSMSSMSSSSSNFFN.
% 249.88/34.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 249.88/34.30 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 249.88/34.30 % Starting new_bool_3 with 300s (1) cores
% 249.88/34.30 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 249.88/34.30 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 249.88/34.30 % Search class: FGHSF-FFMM32-SFFFFFNN
% 249.88/34.30 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 249.88/34.30 % Starting SubtermCWHack with 28s (1) cores
% 249.88/34.30 % SubtermCWHack with pid 2177919 completed with status 8
% 249.88/34.30 % Starting new_bool_3 with 31s (1) cores
% 249.88/34.30 % new_bool_3 with pid 2178076 completed with status 0
% 249.88/34.30 % Result found by new_bool_3
% 249.88/34.30 % Preprocessing class: FSMSSMSSSSSNFFN.
% 249.88/34.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 249.88/34.30 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 249.88/34.30 % Starting new_bool_3 with 300s (1) cores
% 249.88/34.30 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 249.88/34.30 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 249.88/34.30 % Search class: FGHSF-FFMM32-SFFFFFNN
% 249.88/34.30 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 249.88/34.30 % Starting SubtermCWHack with 28s (1) cores
% 249.88/34.30 % SubtermCWHack with pid 2177919 completed with status 8
% 249.88/34.30 % Starting new_bool_3 with 31s (1) cores
% 249.88/34.30 % Preprocessing time : 0.001 s
% 249.88/34.30 % Presaturation interreduction done
% 249.88/34.30
% 249.88/34.30 % Proof found!
% 249.88/34.30 % SZS status Theorem
% 249.88/34.30 % SZS output start CNFRefutation
% See solution above
% 249.88/34.30 % Parsed axioms : 31
% 249.88/34.30 % Removed by relevancy pruning/SinE : 2
% 249.88/34.30 % Initial clauses : 68
% 249.88/34.30 % Removed in clause preprocessing : 2
% 249.88/34.30 % Initial clauses in saturation : 66
% 249.88/34.30 % Processed clauses : 15639
% 249.88/34.30 % ...of these trivial : 335
% 249.88/34.30 % ...subsumed : 12759
% 249.88/34.30 % ...remaining for further processing : 2545
% 249.88/34.30 % Other redundant clauses eliminated : 58
% 249.88/34.30 % Clauses deleted for lack of memory : 0
% 249.88/34.30 % Backward-subsumed : 573
% 249.88/34.30 % Backward-rewritten : 207
% 249.88/34.30 % Generated clauses : 360302
% 249.88/34.30 % ...of the previous two non-redundant : 345526
% 249.88/34.30 % ...aggressively subsumed : 0
% 249.88/34.30 % Contextual simplify-reflections : 982
% 249.88/34.30 % Paramodulations : 360244
% 249.88/34.30 % Factorizations : 0
% 249.88/34.30 % NegExts : 0
% 249.88/34.30 % Equation resolutions : 59
% 249.88/34.30 % Disequality decompositions : 0
% 249.88/34.30 % Total rewrite steps : 245515
% 249.88/34.30 % ...of those cached : 245226
% 249.88/34.30 % Propositional unsat checks : 0
% 249.88/34.30 % Propositional check models : 0
% 249.88/34.30 % Propositional check unsatisfiable : 0
% 249.88/34.30 % Propositional clauses : 0
% 249.88/34.30 % Propositional clauses after purity: 0
% 249.88/34.30 % Propositional unsat core size : 0
% 249.88/34.30 % Propositional preprocessing time : 0.000
% 249.88/34.30 % Propositional encoding time : 0.000
% 249.88/34.30 % Propositional solver time : 0.000
% 249.88/34.30 % Success case prop preproc time : 0.000
% 249.88/34.30 % Success case prop encoding time : 0.000
% 249.88/34.30 % Success case prop solver time : 0.000
% 249.88/34.30 % Current number of processed clauses : 1694
% 249.88/34.30 % Positive orientable unit clauses : 248
% 249.88/34.30 % Positive unorientable unit clauses: 0
% 249.88/34.30 % Negative unit clauses : 6
% 249.88/34.30 % Non-unit-clauses : 1440
% 249.88/34.30 % Current number of unprocessed clauses: 329650
% 249.88/34.30 % ...number of literals in the above : 2105872
% 249.88/34.30 % Current number of archived formulas : 0
% 249.88/34.30 % Current number of archived clauses : 846
% 249.88/34.30 % Clause-clause subsumption calls (NU) : 1015289
% 249.88/34.30 % Rec. Clause-clause subsumption calls : 189260
% 249.88/34.30 % Non-unit clause-clause subsumptions : 13847
% 249.88/34.30 % Unit Clause-clause subsumption calls : 6791
% 249.88/34.30 % Rewrite failures with RHS unbound : 0
% 249.88/34.30 % BW rewrite match attempts : 611
% 249.88/34.30 % BW rewrite match successes : 96
% 249.88/34.30 % Condensation attempts : 0
% 249.88/34.30 % Condensation successes : 0
% 249.88/34.30 % Termbank termtop insertions : 8627980
% 249.88/34.30 % Search garbage collected termcells : 1068
% 249.88/34.30
% 249.88/34.30 % -------------------------------------------------
% 249.88/34.30 % User time : 31.700 s
% 249.88/34.30 % System time : 1.273 s
% 249.88/34.30 % Total time : 32.972 s
% 249.88/34.30 % Maximum resident set size: 3676 pages
% 249.88/34.30
% 249.88/34.30 % -------------------------------------------------
% 249.88/34.30 % User time : 31.704 s
% 249.88/34.30 % System time : 1.281 s
% 249.88/34.30 % Total time : 32.985 s
% 249.88/34.30 % Maximum resident set size: 4864 pages
% 249.88/34.30 % E exiting
%------------------------------------------------------------------------------