TSTP Solution File: RNG085+2 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG085+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% 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 : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 20:26:51 EDT 2022
% Result : Theorem 0.37s 24.55s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 69 ( 9 unt; 0 def)
% Number of atoms : 281 ( 38 equ)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 363 ( 151 ~; 148 |; 41 &)
% ( 2 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 148 ( 1 sgn 52 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( aSet0(sdtpldt1(xI,xJ))
& ! [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
<=> ? [X2,X3] :
( aElementOf0(X2,xI)
& aElementOf0(X3,xJ)
& sdtpldt0(X2,X3) = X1 ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
=> ( ! [X2] :
( aElementOf0(X2,sdtpldt1(xI,xJ))
=> aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ)) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),sdtpldt1(xI,xJ)) ) ) )
| aIdeal0(sdtpldt1(xI,xJ)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mEOfElem) ).
fof(m__870,hypothesis,
( aSet0(xI)
& ! [X1] :
( aElementOf0(X1,xI)
=> ( ! [X2] :
( aElementOf0(X2,xI)
=> aElementOf0(sdtpldt0(X1,X2),xI) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),xI) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [X1] :
( aElementOf0(X1,xJ)
=> ( ! [X2] :
( aElementOf0(X2,xJ)
=> aElementOf0(sdtpldt0(X1,X2),xJ) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),xJ) ) ) )
& aIdeal0(xJ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__870) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddAsso) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulComm) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAMDistr) ).
fof(mSortsB,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSortsB) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mAddComm) ).
fof(c_0_8,negated_conjecture,
~ ( ( aSet0(sdtpldt1(xI,xJ))
& ! [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
<=> ? [X2,X3] :
( aElementOf0(X2,xI)
& aElementOf0(X3,xJ)
& sdtpldt0(X2,X3) = X1 ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
=> ( ! [X2] :
( aElementOf0(X2,sdtpldt1(xI,xJ))
=> aElementOf0(sdtpldt0(X1,X2),sdtpldt1(xI,xJ)) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),sdtpldt1(xI,xJ)) ) ) )
| aIdeal0(sdtpldt1(xI,xJ)) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_9,negated_conjecture,
! [X4,X4,X7,X8] :
( aSet0(sdtpldt1(xI,xJ))
& ( aElementOf0(esk1_1(X4),xI)
| ~ aElementOf0(X4,sdtpldt1(xI,xJ)) )
& ( aElementOf0(esk2_1(X4),xJ)
| ~ aElementOf0(X4,sdtpldt1(xI,xJ)) )
& ( sdtpldt0(esk1_1(X4),esk2_1(X4)) = X4
| ~ aElementOf0(X4,sdtpldt1(xI,xJ)) )
& ( ~ aElementOf0(X7,xI)
| ~ aElementOf0(X8,xJ)
| sdtpldt0(X7,X8) != X4
| aElementOf0(X4,sdtpldt1(xI,xJ)) )
& aElementOf0(esk3_0,sdtpldt1(xI,xJ))
& ( aElement0(esk5_0)
| aElementOf0(esk4_0,sdtpldt1(xI,xJ)) )
& ( ~ aElementOf0(sdtasdt0(esk5_0,esk3_0),sdtpldt1(xI,xJ))
| aElementOf0(esk4_0,sdtpldt1(xI,xJ)) )
& ( aElement0(esk5_0)
| ~ aElementOf0(sdtpldt0(esk3_0,esk4_0),sdtpldt1(xI,xJ)) )
& ( ~ aElementOf0(sdtasdt0(esk5_0,esk3_0),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtpldt0(esk3_0,esk4_0),sdtpldt1(xI,xJ)) )
& ~ aIdeal0(sdtpldt1(xI,xJ)) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])])]) ).
fof(c_0_10,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ aElementOf0(X4,X3)
| aElement0(X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])])]) ).
fof(c_0_11,hypothesis,
! [X3,X4,X5,X6,X7,X8] :
( aSet0(xI)
& ( ~ aElementOf0(X4,xI)
| aElementOf0(sdtpldt0(X3,X4),xI)
| ~ aElementOf0(X3,xI) )
& ( ~ aElement0(X5)
| aElementOf0(sdtasdt0(X5,X3),xI)
| ~ aElementOf0(X3,xI) )
& aIdeal0(xI)
& aSet0(xJ)
& ( ~ aElementOf0(X7,xJ)
| aElementOf0(sdtpldt0(X6,X7),xJ)
| ~ aElementOf0(X6,xJ) )
& ( ~ aElement0(X8)
| aElementOf0(sdtasdt0(X8,X6),xJ)
| ~ aElementOf0(X6,xJ) )
& aIdeal0(xJ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__870])])])])])]) ).
cnf(c_0_12,negated_conjecture,
( aElementOf0(X1,sdtpldt1(xI,xJ))
| sdtpldt0(X2,X3) != X1
| ~ aElementOf0(X3,xJ)
| ~ aElementOf0(X2,xI) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( aElementOf0(esk2_1(X1),xJ)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_14,plain,
! [X4,X5,X6] :
( ~ aElement0(X4)
| ~ aElement0(X5)
| ~ aElement0(X6)
| sdtpldt0(sdtpldt0(X4,X5),X6) = sdtpldt0(X4,sdtpldt0(X5,X6)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])]) ).
cnf(c_0_15,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,hypothesis,
aSet0(xJ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
( aElementOf0(X1,sdtpldt1(xI,xJ))
| sdtpldt0(X2,esk2_1(X3)) != X1
| ~ aElementOf0(X3,sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,xI) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( aElement0(esk2_1(X1))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_13]),c_0_16])]) ).
cnf(c_0_20,negated_conjecture,
( aElementOf0(esk1_1(X1),xI)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_21,hypothesis,
aSet0(xI),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22,negated_conjecture,
( aElementOf0(X1,sdtpldt1(xI,xJ))
| sdtpldt0(X2,sdtpldt0(X3,esk2_1(X4))) != X1
| ~ aElementOf0(X4,sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtpldt0(X2,X3),xI)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( sdtpldt0(esk1_1(X1),esk2_1(X1)) = X1
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,negated_conjecture,
( aElement0(esk1_1(X1))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_20]),c_0_21])]) ).
cnf(c_0_25,negated_conjecture,
( aElementOf0(X1,sdtpldt1(xI,xJ))
| sdtpldt0(X2,X3) != X1
| ~ aElementOf0(sdtpldt0(X2,esk1_1(X3)),xI)
| ~ aElementOf0(X3,sdtpldt1(xI,xJ))
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_26,hypothesis,
( aElementOf0(sdtpldt0(X1,X2),xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X2,xI) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_27,hypothesis,
( aElementOf0(sdtpldt0(X1,X2),xJ)
| ~ aElementOf0(X1,xJ)
| ~ aElementOf0(X2,xJ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_28,hypothesis,
( aElementOf0(X1,sdtpldt1(xI,xJ))
| sdtpldt0(X2,X3) != X1
| ~ aElementOf0(X3,sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,xI)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_20]) ).
cnf(c_0_29,negated_conjecture,
aElementOf0(esk3_0,sdtpldt1(xI,xJ)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_30,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| sdtasdt0(X3,X4) = sdtasdt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])]) ).
fof(c_0_31,plain,
! [X4,X5,X6] :
( ( sdtasdt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| ~ aElement0(X4)
| ~ aElement0(X5)
| ~ aElement0(X6) )
& ( sdtasdt0(sdtpldt0(X5,X6),X4) = sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))
| ~ aElement0(X4)
| ~ aElement0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAMDistr])])]) ).
fof(c_0_32,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| aElement0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSortsB])]) ).
cnf(c_0_33,hypothesis,
( aElementOf0(X1,sdtpldt1(xI,xJ))
| sdtpldt0(X2,sdtpldt0(X3,X4)) != X1
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X4,xJ)
| ~ aElementOf0(X3,xJ) ),
inference(spm,[status(thm)],[c_0_12,c_0_27]) ).
cnf(c_0_34,negated_conjecture,
( sdtpldt0(esk1_1(X1),sdtpldt0(esk2_1(X1),X2)) = sdtpldt0(X1,X2)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_23]),c_0_24]),c_0_19]) ).
cnf(c_0_35,negated_conjecture,
( aElementOf0(X1,sdtpldt1(xI,xJ))
| sdtpldt0(X2,esk3_0) != X1
| ~ aElementOf0(X2,xI)
| ~ aElement0(X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_36,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| sdtpldt0(X3,X4) = sdtpldt0(X4,X3) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])]) ).
cnf(c_0_37,hypothesis,
( aElementOf0(sdtasdt0(X2,X1),xJ)
| ~ aElementOf0(X1,xJ)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_38,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,plain,
( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,hypothesis,
( aElementOf0(X1,sdtpldt1(xI,xJ))
| sdtpldt0(X2,X3) != X1
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElementOf0(X3,xJ)
| ~ aElement0(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_13]),c_0_20]) ).
cnf(c_0_42,negated_conjecture,
( aElementOf0(sdtpldt0(X1,esk3_0),sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,xI)
| ~ aElement0(X1) ),
inference(er,[status(thm)],[c_0_35]) ).
cnf(c_0_43,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,negated_conjecture,
aSet0(sdtpldt1(xI,xJ)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_45,negated_conjecture,
( aElementOf0(X1,sdtpldt1(xI,xJ))
| sdtpldt0(X2,sdtasdt0(X3,X4)) != X1
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X4,xJ)
| ~ aElement0(X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_37]) ).
cnf(c_0_46,plain,
( sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) = sdtasdt0(sdtpldt0(X2,X3),X1)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_47,hypothesis,
( aElementOf0(X1,sdtpldt1(xI,xJ))
| sdtpldt0(sdtpldt0(X2,esk3_0),X3) != X1
| ~ aElementOf0(X3,xJ)
| ~ aElementOf0(X2,xI)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X2,sdtpldt0(X1,X3))
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(pm,[status(thm)],[c_0_18,c_0_43]) ).
cnf(c_0_49,negated_conjecture,
aElement0(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_29]),c_0_44])]) ).
cnf(c_0_50,negated_conjecture,
( aElementOf0(X1,sdtpldt1(xI,xJ))
| sdtasdt0(sdtpldt0(X2,X3),X4) != X1
| ~ aElementOf0(sdtasdt0(X4,X2),xI)
| ~ aElementOf0(X3,xJ)
| ~ aElement0(X4)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(pm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,hypothesis,
( aElementOf0(sdtasdt0(X2,X1),xI)
| ~ aElementOf0(X1,xI)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_52,hypothesis,
( aElementOf0(X1,sdtpldt1(xI,xJ))
| sdtpldt0(esk3_0,sdtpldt0(X2,X3)) != X1
| ~ aElementOf0(X3,xJ)
| ~ aElementOf0(X2,xI)
| ~ aElement0(X3)
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).
cnf(c_0_53,hypothesis,
( aElementOf0(X1,sdtpldt1(xI,xJ))
| sdtasdt0(sdtpldt0(X2,X3),X4) != X1
| ~ aElementOf0(X3,xJ)
| ~ aElementOf0(X2,xI)
| ~ aElement0(X4)
| ~ aElement0(X2)
| ~ aElement0(X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_54,negated_conjecture,
( aElement0(X1)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElement0(esk1_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_23]),c_0_19]) ).
cnf(c_0_55,negated_conjecture,
( aElementOf0(X1,sdtpldt1(xI,xJ))
| sdtpldt0(esk3_0,X2) != X1
| ~ aElementOf0(X2,sdtpldt1(xI,xJ)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_23]),c_0_24]),c_0_19]),c_0_20]),c_0_13]) ).
cnf(c_0_56,negated_conjecture,
( aElementOf0(X1,sdtpldt1(xI,xJ))
| sdtasdt0(X2,X3) != X1
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElement0(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_23]),c_0_19]),c_0_24]),c_0_20]),c_0_13]) ).
cnf(c_0_57,negated_conjecture,
( aElement0(X1)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) ),
inference(spm,[status(thm)],[c_0_54,c_0_24]) ).
cnf(c_0_58,negated_conjecture,
( ~ aElementOf0(sdtpldt0(esk3_0,esk4_0),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtasdt0(esk5_0,esk3_0),sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_59,negated_conjecture,
( aElementOf0(sdtpldt0(esk3_0,X1),sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ)) ),
inference(er,[status(thm)],[c_0_55]) ).
cnf(c_0_60,negated_conjecture,
( aElementOf0(esk4_0,sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtasdt0(esk5_0,esk3_0),sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_61,negated_conjecture,
( aElementOf0(X1,sdtpldt1(xI,xJ))
| sdtasdt0(X2,X3) != X1
| ~ aElementOf0(X3,sdtpldt1(xI,xJ))
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(pm,[status(thm)],[c_0_56,c_0_38]),c_0_57]) ).
cnf(c_0_62,negated_conjecture,
~ aElementOf0(sdtasdt0(esk5_0,esk3_0),sdtpldt1(xI,xJ)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
cnf(c_0_63,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),sdtpldt1(xI,xJ))
| ~ aElementOf0(X2,sdtpldt1(xI,xJ))
| ~ aElement0(X1) ),
inference(er,[status(thm)],[c_0_61]) ).
cnf(c_0_64,negated_conjecture,
( aElement0(esk5_0)
| ~ aElementOf0(sdtpldt0(esk3_0,esk4_0),sdtpldt1(xI,xJ)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_65,negated_conjecture,
~ aElement0(esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_29])]) ).
cnf(c_0_66,negated_conjecture,
( aElementOf0(esk4_0,sdtpldt1(xI,xJ))
| aElement0(esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_67,negated_conjecture,
~ aElementOf0(esk4_0,sdtpldt1(xI,xJ)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_59]),c_0_65]) ).
cnf(c_0_68,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_66,c_0_65]),c_0_67]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : RNG085+2 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon May 30 21:09:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.37/23.41 eprover: CPU time limit exceeded, terminating
% 0.37/23.42 eprover: CPU time limit exceeded, terminating
% 0.37/23.43 eprover: CPU time limit exceeded, terminating
% 0.37/23.44 eprover: CPU time limit exceeded, terminating
% 0.37/24.55 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.37/24.55
% 0.37/24.55 # Failure: Resource limit exceeded (time)
% 0.37/24.55 # OLD status Res
% 0.37/24.55 # Preprocessing time : 0.018 s
% 0.37/24.55 # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.37/24.55 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.37/24.55 # Preprocessing time : 0.010 s
% 0.37/24.55
% 0.37/24.55 # Proof found!
% 0.37/24.55 # SZS status Theorem
% 0.37/24.55 # SZS output start CNFRefutation
% See solution above
% 0.37/24.55 # Proof object total steps : 69
% 0.37/24.55 # Proof object clause steps : 52
% 0.37/24.55 # Proof object formula steps : 17
% 0.37/24.55 # Proof object conjectures : 35
% 0.37/24.55 # Proof object clause conjectures : 32
% 0.37/24.55 # Proof object formula conjectures : 3
% 0.37/24.55 # Proof object initial clauses used : 22
% 0.37/24.55 # Proof object initial formulas used : 8
% 0.37/24.55 # Proof object generating inferences : 29
% 0.37/24.55 # Proof object simplifying inferences : 32
% 0.37/24.55 # Training examples: 0 positive, 0 negative
% 0.37/24.55 # Parsed axioms : 26
% 0.37/24.55 # Removed by relevancy pruning/SinE : 11
% 0.37/24.55 # Initial clauses : 51
% 0.37/24.55 # Removed in clause preprocessing : 2
% 0.37/24.55 # Initial clauses in saturation : 49
% 0.37/24.55 # Processed clauses : 1434
% 0.37/24.55 # ...of these trivial : 0
% 0.37/24.55 # ...subsumed : 838
% 0.37/24.55 # ...remaining for further processing : 595
% 0.37/24.55 # Other redundant clauses eliminated : 6
% 0.37/24.55 # Clauses deleted for lack of memory : 0
% 0.37/24.55 # Backward-subsumed : 34
% 0.37/24.55 # Backward-rewritten : 0
% 0.37/24.55 # Generated clauses : 10009
% 0.37/24.55 # ...of the previous two non-trivial : 9953
% 0.37/24.55 # Contextual simplify-reflections : 1250
% 0.37/24.55 # Paramodulations : 9872
% 0.37/24.55 # Factorizations : 0
% 0.37/24.55 # Equation resolutions : 134
% 0.37/24.55 # Current number of processed clauses : 558
% 0.37/24.55 # Positive orientable unit clauses : 10
% 0.37/24.55 # Positive unorientable unit clauses: 0
% 0.37/24.55 # Negative unit clauses : 8
% 0.37/24.55 # Non-unit-clauses : 540
% 0.37/24.55 # Current number of unprocessed clauses: 8181
% 0.37/24.55 # ...number of literals in the above : 69525
% 0.37/24.55 # Current number of archived formulas : 0
% 0.37/24.55 # Current number of archived clauses : 37
% 0.37/24.55 # Clause-clause subsumption calls (NU) : 90403
% 0.37/24.55 # Rec. Clause-clause subsumption calls : 30806
% 0.37/24.55 # Non-unit clause-clause subsumptions : 2097
% 0.37/24.55 # Unit Clause-clause subsumption calls : 854
% 0.37/24.55 # Rewrite failures with RHS unbound : 0
% 0.37/24.55 # BW rewrite match attempts : 0
% 0.37/24.55 # BW rewrite match successes : 0
% 0.37/24.55 # Condensation attempts : 0
% 0.37/24.55 # Condensation successes : 0
% 0.37/24.55 # Termbank termtop insertions : 224474
% 0.37/24.55
% 0.37/24.55 # -------------------------------------------------
% 0.37/24.55 # User time : 0.495 s
% 0.37/24.55 # System time : 0.004 s
% 0.37/24.55 # Total time : 0.499 s
% 0.37/24.55 # Maximum resident set size: 13128 pages
%------------------------------------------------------------------------------