TSTP Solution File: RNG062+2 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : RNG062+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 20:26:45 EDT 2022
% Result : Theorem 0.25s 5.42s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 23
% Syntax : Number of formulae : 155 ( 69 unt; 0 def)
% Number of atoms : 347 ( 141 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 344 ( 152 ~; 135 |; 44 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 123 ( 4 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mMNeg,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
& sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMNeg) ).
fof(mScZero,axiom,
! [X1] :
( aScalar0(X1)
=> ( sdtpldt0(X1,sz0z00) = X1
& sdtpldt0(sz0z00,X1) = X1
& sdtasdt0(X1,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X1) = sz0z00
& sdtpldt0(X1,smndt0(X1)) = sz0z00
& sdtpldt0(smndt0(X1),X1) = sz0z00
& smndt0(smndt0(X1)) = X1
& smndt0(sz0z00) = sz0z00 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mScZero) ).
fof(m__2144,hypothesis,
( sdtasdt0(xR,smndt0(xS)) = smndt0(xN)
& sdtasdt0(smndt0(xS),xR) = smndt0(xN)
& sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__2144) ).
fof(m__1930,hypothesis,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1930) ).
fof(m__1892,hypothesis,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1892) ).
fof(mArith,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
& sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
& sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
& sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mArith) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMulSc) ).
fof(mNegSc,axiom,
! [X1] :
( aScalar0(X1)
=> aScalar0(smndt0(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mNegSc) ).
fof(m__1949,hypothesis,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1949) ).
fof(mSZeroSc,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSZeroSc) ).
fof(mMDNeg,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mMDNeg) ).
fof(m__1800,hypothesis,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1800) ).
fof(m__1837,hypothesis,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1837) ).
fof(mDistr,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
& sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDistr) ).
fof(m__1854,hypothesis,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1854) ).
fof(m__1783,hypothesis,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__1783) ).
fof(m__,conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mDistr2,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3)
& aScalar0(X4) )
=> sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X1,X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDistr2) ).
fof(mSumSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSumSc) ).
fof(c_0_19,plain,
! [X3,X4] :
( ( sdtasdt0(X3,smndt0(X4)) = smndt0(sdtasdt0(X3,X4))
| ~ aScalar0(X3)
| ~ aScalar0(X4) )
& ( sdtasdt0(smndt0(X3),X4) = smndt0(sdtasdt0(X3,X4))
| ~ aScalar0(X3)
| ~ aScalar0(X4) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])]) ).
fof(c_0_20,plain,
! [X2] :
( ( sdtpldt0(X2,sz0z00) = X2
| ~ aScalar0(X2) )
& ( sdtpldt0(sz0z00,X2) = X2
| ~ aScalar0(X2) )
& ( sdtasdt0(X2,sz0z00) = sz0z00
| ~ aScalar0(X2) )
& ( sdtasdt0(sz0z00,X2) = sz0z00
| ~ aScalar0(X2) )
& ( sdtpldt0(X2,smndt0(X2)) = sz0z00
| ~ aScalar0(X2) )
& ( sdtpldt0(smndt0(X2),X2) = sz0z00
| ~ aScalar0(X2) )
& ( smndt0(smndt0(X2)) = X2
| ~ aScalar0(X2) )
& ( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mScZero])])]) ).
cnf(c_0_21,hypothesis,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(split_conjunct,[status(thm)],[m__2144]) ).
cnf(c_0_22,plain,
( sdtasdt0(smndt0(X2),X1) = smndt0(sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,hypothesis,
aScalar0(xS),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_24,hypothesis,
aScalar0(xR),
inference(split_conjunct,[status(thm)],[m__1892]) ).
fof(c_0_25,plain,
! [X4,X5,X6] :
( ( sdtpldt0(sdtpldt0(X4,X5),X6) = sdtpldt0(X4,sdtpldt0(X5,X6))
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) )
& ( sdtpldt0(X4,X5) = sdtpldt0(X5,X4)
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) )
& ( sdtasdt0(sdtasdt0(X4,X5),X6) = sdtasdt0(X4,sdtasdt0(X5,X6))
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) )
& ( sdtasdt0(X4,X5) = sdtasdt0(X5,X4)
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])]) ).
fof(c_0_26,plain,
( ~ epred4_0
<=> ! [X1] : ~ aScalar0(X1) ),
introduced(definition) ).
cnf(c_0_27,plain,
( smndt0(smndt0(X1)) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,hypothesis,
smndt0(sdtasdt0(xS,xR)) = smndt0(xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]) ).
fof(c_0_29,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| aScalar0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])]) ).
cnf(c_0_30,hypothesis,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(split_conjunct,[status(thm)],[m__2144]) ).
fof(c_0_31,plain,
! [X2] :
( ~ aScalar0(X2)
| aScalar0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])]) ).
cnf(c_0_32,plain,
( sdtasdt0(sdtasdt0(X3,X2),X1) = sdtasdt0(X3,sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,hypothesis,
xN = sdtasdt0(xR,xS),
inference(split_conjunct,[status(thm)],[m__1949]) ).
fof(c_0_34,plain,
( ~ epred3_0
<=> ! [X2,X3] :
( sdtasdt0(X2,X3) = sdtasdt0(X3,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ) ),
introduced(definition) ).
cnf(c_0_35,plain,
( sdtasdt0(X3,X2) = sdtasdt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_36,plain,
( epred4_0
| ~ aScalar0(X1) ),
inference(split_equiv,[status(thm)],[c_0_26]) ).
cnf(c_0_37,hypothesis,
aScalar0(xN),
inference(split_conjunct,[status(thm)],[m__1949]) ).
cnf(c_0_38,hypothesis,
( sdtasdt0(xS,xR) = smndt0(smndt0(xN))
| ~ aScalar0(sdtasdt0(xS,xR)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_39,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_40,hypothesis,
( smndt0(sdtasdt0(xS,smndt0(xS))) = sdtasdt0(xS,xS)
| ~ aScalar0(smndt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_22]),c_0_23])]) ).
cnf(c_0_41,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_43,hypothesis,
( sdtasdt0(xN,X1) = sdtasdt0(xR,sdtasdt0(xS,X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_24]),c_0_23])]) ).
cnf(c_0_44,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[mSZeroSc]) ).
cnf(c_0_45,plain,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_35,c_0_34]),c_0_26]) ).
cnf(c_0_46,hypothesis,
epred4_0,
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_47,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| sdtasdt0(smndt0(X3),smndt0(X4)) = sdtasdt0(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMDNeg])]) ).
cnf(c_0_48,hypothesis,
sdtasdt0(xS,xR) = smndt0(smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_24]),c_0_23])]) ).
cnf(c_0_49,plain,
( sdtasdt0(X2,smndt0(X1)) = smndt0(sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_50,hypothesis,
( sdtasdt0(xS,smndt0(xS)) = smndt0(sdtasdt0(xS,xS))
| ~ aScalar0(sdtasdt0(xS,smndt0(xS)))
| ~ aScalar0(smndt0(xS)) ),
inference(spm,[status(thm)],[c_0_27,c_0_40]) ).
cnf(c_0_51,plain,
( aScalar0(smndt0(sdtasdt0(X1,X2)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_22]),c_0_41]) ).
cnf(c_0_52,hypothesis,
xS = sdtasdt0(xF,xD),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_53,hypothesis,
aScalar0(xD),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_54,hypothesis,
aScalar0(xF),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_55,hypothesis,
sdtasdt0(xR,sdtasdt0(xS,sz0z00)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_37]),c_0_44])]) ).
cnf(c_0_56,plain,
~ epred3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]) ).
cnf(c_0_57,plain,
( sdtasdt0(smndt0(X1),smndt0(X2)) = sdtasdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_58,plain,
( sdtpldt0(X1,smndt0(X1)) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_59,hypothesis,
smndt0(smndt0(smndt0(xN))) = smndt0(xN),
inference(rw,[status(thm)],[c_0_28,c_0_48]) ).
cnf(c_0_60,hypothesis,
aScalar0(smndt0(smndt0(xN))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_48]),c_0_24]),c_0_23])]) ).
cnf(c_0_61,hypothesis,
( smndt0(sdtasdt0(smndt0(xS),xS)) = sdtasdt0(xS,xS)
| ~ aScalar0(smndt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_49]),c_0_23])]) ).
cnf(c_0_62,hypothesis,
( sdtasdt0(xS,smndt0(xS)) = smndt0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_39]),c_0_23])]) ).
cnf(c_0_63,hypothesis,
aScalar0(smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_64,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_65,hypothesis,
sdtasdt0(xR,sz0z00) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_42]),c_0_23])]) ).
cnf(c_0_66,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_34]),c_0_56]) ).
cnf(c_0_67,plain,
( sdtasdt0(smndt0(X1),X2) = sdtasdt0(X1,smndt0(X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_27]),c_0_41]) ).
cnf(c_0_68,plain,
( sdtpldt0(sdtpldt0(X3,X2),X1) = sdtpldt0(X3,sdtpldt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_69,plain,
( sdtpldt0(smndt0(X1),X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_70,hypothesis,
sdtpldt0(smndt0(smndt0(xN)),smndt0(xN)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).
cnf(c_0_71,hypothesis,
( smndt0(smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xS,xS)
| ~ aScalar0(smndt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_22]),c_0_23])]) ).
cnf(c_0_72,hypothesis,
( sdtasdt0(xS,X1) = sdtasdt0(xF,sdtasdt0(xD,X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_52]),c_0_54]),c_0_53])]) ).
cnf(c_0_73,hypothesis,
sdtasdt0(xS,smndt0(xS)) = smndt0(sdtasdt0(xS,xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]) ).
fof(c_0_74,plain,
! [X4,X5,X6] :
( ( sdtasdt0(X4,sdtpldt0(X5,X6)) = sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) )
& ( sdtasdt0(sdtpldt0(X4,X5),X6) = sdtpldt0(sdtasdt0(X4,X6),sdtasdt0(X5,X6))
| ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistr])])]) ).
cnf(c_0_75,hypothesis,
xR = sdtasdt0(xC,xG),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_76,hypothesis,
aScalar0(xG),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_77,hypothesis,
aScalar0(xC),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_78,plain,
( sdtasdt0(sz0z00,sdtasdt0(X1,X2)) = sdtasdt0(sz0z00,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_64]),c_0_44])]) ).
cnf(c_0_79,hypothesis,
sdtasdt0(sz0z00,xR) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_44]),c_0_24])]) ).
cnf(c_0_80,hypothesis,
sdtasdt0(xS,smndt0(xR)) = smndt0(xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_67]),c_0_23]),c_0_24])]) ).
cnf(c_0_81,plain,
( sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz0z00,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_41]) ).
cnf(c_0_82,hypothesis,
sdtpldt0(xN,smndt0(xN)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_27]),c_0_37])]) ).
cnf(c_0_83,hypothesis,
aScalar0(smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_59]),c_0_60])]) ).
cnf(c_0_84,hypothesis,
smndt0(smndt0(sdtasdt0(xS,xS))) = sdtasdt0(xS,xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_63])]) ).
cnf(c_0_85,hypothesis,
smndt0(sdtasdt0(xS,xS)) = sdtasdt0(xF,sdtasdt0(xD,smndt0(xS))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_63])]) ).
fof(c_0_86,plain,
( ~ epred2_0
<=> ! [X1] : ~ aScalar0(X1) ),
introduced(definition) ).
cnf(c_0_87,plain,
( sdtasdt0(sdtpldt0(X3,X2),X1) = sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_88,hypothesis,
aScalar0(smndt0(xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_75]),c_0_76]),c_0_77])]) ).
cnf(c_0_89,hypothesis,
sdtasdt0(sz0z00,smndt0(xN)) = sz0z00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_21]),c_0_79]),c_0_63]),c_0_24])]) ).
cnf(c_0_90,hypothesis,
( sdtasdt0(xF,sdtasdt0(xD,smndt0(xR))) = smndt0(xN)
| ~ aScalar0(smndt0(xR)) ),
inference(spm,[status(thm)],[c_0_72,c_0_80]) ).
cnf(c_0_91,plain,
( sdtpldt0(X1,sz0z00) = X1
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_92,hypothesis,
sdtpldt0(smndt0(xN),sz0z00) = sdtpldt0(sz0z00,smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_37]),c_0_83])]) ).
cnf(c_0_93,plain,
( sdtasdt0(X3,sdtpldt0(X2,X1)) = sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_94,hypothesis,
sdtasdt0(xS,xS) = smndt0(sdtasdt0(xF,sdtasdt0(xD,smndt0(xS)))),
inference(rw,[status(thm)],[c_0_84,c_0_85]) ).
fof(c_0_95,plain,
( ~ epred1_0
<=> ! [X2,X3] :
( sdtpldt0(X2,X3) = sdtpldt0(X3,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ) ),
introduced(definition) ).
cnf(c_0_96,plain,
( sdtpldt0(X3,X2) = sdtpldt0(X2,X3)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_97,plain,
( epred2_0
| ~ aScalar0(X1) ),
inference(split_equiv,[status(thm)],[c_0_86]) ).
cnf(c_0_98,hypothesis,
( sdtpldt0(sdtasdt0(xF,sdtasdt0(xD,X1)),sdtasdt0(X2,X1)) = sdtasdt0(sdtpldt0(xS,X2),X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_72]),c_0_23])]) ).
cnf(c_0_99,hypothesis,
sdtasdt0(sz0z00,smndt0(xR)) = sz0z00,
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_80]),c_0_23]),c_0_88])]),c_0_89]) ).
cnf(c_0_100,hypothesis,
sdtasdt0(xF,sdtasdt0(xD,smndt0(xR))) = smndt0(xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_88])]) ).
cnf(c_0_101,hypothesis,
sdtpldt0(sz0z00,smndt0(xN)) = smndt0(xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_83])]) ).
fof(c_0_102,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_103,hypothesis,
( sdtpldt0(smndt0(xN),sdtasdt0(smndt0(xS),X1)) = sdtasdt0(smndt0(xS),sdtpldt0(xR,X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_21]),c_0_24])]),c_0_63])]) ).
cnf(c_0_104,hypothesis,
sdtasdt0(smndt0(xS),smndt0(xS)) = smndt0(sdtasdt0(xF,sdtasdt0(xD,smndt0(xS)))),
inference(rw,[status(thm)],[c_0_30,c_0_94]) ).
cnf(c_0_105,plain,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_96,c_0_95]),c_0_86]) ).
cnf(c_0_106,hypothesis,
epred2_0,
inference(spm,[status(thm)],[c_0_97,c_0_37]) ).
fof(c_0_107,plain,
! [X5,X6,X7,X8] :
( ~ aScalar0(X5)
| ~ aScalar0(X6)
| ~ aScalar0(X7)
| ~ aScalar0(X8)
| sdtasdt0(sdtpldt0(X5,X6),sdtpldt0(X7,X8)) = sdtpldt0(sdtpldt0(sdtasdt0(X5,X7),sdtasdt0(X5,X8)),sdtpldt0(sdtasdt0(X6,X7),sdtasdt0(X6,X8))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistr2])]) ).
cnf(c_0_108,hypothesis,
sdtasdt0(sdtpldt0(xS,sz0z00),smndt0(xR)) = smndt0(xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_92]),c_0_101]),c_0_44]),c_0_88])]) ).
fof(c_0_109,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),
inference(fof_simplification,[status(thm)],[c_0_102]) ).
cnf(c_0_110,hypothesis,
( sdtpldt0(smndt0(xN),sdtasdt0(xS,X1)) = sdtasdt0(xS,sdtpldt0(smndt0(xR),X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_80]),c_0_23])]),c_0_88])]) ).
cnf(c_0_111,hypothesis,
sdtpldt0(smndt0(xN),smndt0(sdtasdt0(xF,sdtasdt0(xD,smndt0(xS))))) = sdtasdt0(smndt0(xS),sdtpldt0(xR,smndt0(xS))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_63])]) ).
cnf(c_0_112,plain,
~ epred1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106])]) ).
cnf(c_0_113,hypothesis,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(split_conjunct,[status(thm)],[m__2144]) ).
cnf(c_0_114,plain,
( sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X1,X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4)))
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_115,hypothesis,
( sdtasdt0(smndt0(xR),sdtpldt0(xS,sz0z00)) = smndt0(xN)
| ~ aScalar0(sdtpldt0(xS,sz0z00)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_108]),c_0_88])]) ).
cnf(c_0_116,plain,
( smndt0(sdtasdt0(X1,smndt0(X2))) = sdtasdt0(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_27]),c_0_41]) ).
cnf(c_0_117,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xS,xS)),smndt0(xN)),smndt0(xN)),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_118,hypothesis,
( sdtasdt0(xR,X1) = sdtasdt0(xC,sdtasdt0(xG,X1))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_75]),c_0_77]),c_0_76])]) ).
cnf(c_0_119,hypothesis,
sdtasdt0(xS,sdtpldt0(smndt0(xR),xS)) = sdtasdt0(smndt0(xS),sdtpldt0(xR,smndt0(xS))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_94]),c_0_111]),c_0_23])]) ).
cnf(c_0_120,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_95]),c_0_112]) ).
cnf(c_0_121,hypothesis,
( sdtpldt0(sdtasdt0(xR,X1),smndt0(xN)) = sdtasdt0(xR,sdtpldt0(X1,smndt0(xS)))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_113]),c_0_24])]),c_0_63])]) ).
cnf(c_0_122,hypothesis,
( sdtpldt0(sdtasdt0(X1,xR),smndt0(xN)) = sdtasdt0(sdtpldt0(X1,smndt0(xS)),xR)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_21]),c_0_24])]),c_0_63])]) ).
cnf(c_0_123,hypothesis,
( sdtpldt0(sdtpldt0(smndt0(xN),sdtasdt0(xS,X1)),sdtpldt0(sdtasdt0(X2,smndt0(xR)),sdtasdt0(X2,X1))) = sdtasdt0(sdtpldt0(xS,X2),sdtpldt0(smndt0(xR),X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_80]),c_0_23])]),c_0_88])]) ).
cnf(c_0_124,hypothesis,
sdtasdt0(smndt0(xR),xS) = smndt0(xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_91]),c_0_23])]) ).
cnf(c_0_125,plain,
( smndt0(smndt0(sdtasdt0(X1,X2))) = sdtasdt0(X1,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(spm,[status(thm)],[c_0_116,c_0_49]) ).
cnf(c_0_126,hypothesis,
( sdtpldt0(sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,smndt0(xS))),sdtpldt0(sdtasdt0(xR,X2),smndt0(xN))) = sdtasdt0(sdtpldt0(X1,xR),sdtpldt0(X2,smndt0(xS)))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_113]),c_0_24])]),c_0_63])]) ).
fof(c_0_127,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| aScalar0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSumSc])]) ).
cnf(c_0_128,hypothesis,
( sdtpldt0(sdtasdt0(smndt0(xS),X1),smndt0(xN)) = sdtasdt0(smndt0(xS),sdtpldt0(X1,xR))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_21]),c_0_24])]),c_0_63])]) ).
cnf(c_0_129,hypothesis,
( aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS)) ),
inference(spm,[status(thm)],[c_0_39,c_0_30]) ).
cnf(c_0_130,negated_conjecture,
sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(sdtasdt0(xF,sdtasdt0(xD,smndt0(xS))))),smndt0(xN)),smndt0(xN)) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
inference(rw,[status(thm)],[c_0_117,c_0_94]) ).
cnf(c_0_131,hypothesis,
( sdtasdt0(xR,X1) = smndt0(sdtasdt0(xC,sdtasdt0(xG,smndt0(X1))))
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_118]),c_0_24])]),c_0_41]) ).
cnf(c_0_132,hypothesis,
( sdtpldt0(sdtasdt0(xS,X1),smndt0(xN)) = sdtasdt0(xS,sdtpldt0(X1,smndt0(xR)))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_80]),c_0_23])]),c_0_88])]) ).
cnf(c_0_133,hypothesis,
sdtasdt0(xS,sdtpldt0(xS,smndt0(xR))) = sdtasdt0(smndt0(xS),sdtpldt0(xR,smndt0(xS))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_88]),c_0_23])]) ).
cnf(c_0_134,hypothesis,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),xR) = sdtasdt0(xR,sdtpldt0(xR,smndt0(xS))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_24])]) ).
cnf(c_0_135,hypothesis,
sdtpldt0(sdtasdt0(smndt0(xS),sdtpldt0(xR,smndt0(xS))),sdtpldt0(sdtasdt0(smndt0(xR),smndt0(xR)),smndt0(xN))) = sdtasdt0(sdtpldt0(xS,smndt0(xR)),sdtpldt0(smndt0(xR),xS)),
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_123,c_0_124]),c_0_94]),c_0_111]),c_0_23]),c_0_88])]) ).
cnf(c_0_136,hypothesis,
smndt0(smndt0(xR)) = xR,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_75]),c_0_77]),c_0_76])]) ).
cnf(c_0_137,hypothesis,
sdtpldt0(sdtasdt0(smndt0(xS),sdtpldt0(xR,smndt0(xS))),sdtpldt0(sdtasdt0(xR,xR),smndt0(xN))) = sdtasdt0(sdtpldt0(smndt0(xS),xR),sdtpldt0(xR,smndt0(xS))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_21]),c_0_30]),c_0_94]),c_0_111]),c_0_24]),c_0_63])]) ).
cnf(c_0_138,plain,
( aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_139,hypothesis,
sdtpldt0(smndt0(sdtasdt0(xF,sdtasdt0(xD,smndt0(xS)))),smndt0(xN)) = sdtasdt0(smndt0(xS),sdtpldt0(smndt0(xS),xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_104]),c_0_63])]) ).
cnf(c_0_140,hypothesis,
aScalar0(smndt0(sdtasdt0(xF,sdtasdt0(xD,smndt0(xS))))),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_63])]),c_0_94]) ).
cnf(c_0_141,negated_conjecture,
sdtpldt0(sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xC,sdtasdt0(xG,smndt0(xR)))),smndt0(sdtasdt0(xF,sdtasdt0(xD,smndt0(xS))))),smndt0(xN)),smndt0(xN)) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_24])]) ).
cnf(c_0_142,hypothesis,
sdtpldt0(smndt0(sdtasdt0(xF,sdtasdt0(xD,smndt0(xS)))),smndt0(xN)) = sdtasdt0(smndt0(xS),sdtpldt0(xR,smndt0(xS))),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_94]),c_0_23])]),c_0_133]) ).
cnf(c_0_143,hypothesis,
sdtpldt0(sdtasdt0(xC,sdtasdt0(xG,xR)),smndt0(xN)) = sdtasdt0(xR,sdtpldt0(xR,smndt0(xS))),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_118]),c_0_24])]),c_0_134]) ).
cnf(c_0_144,hypothesis,
sdtasdt0(sdtpldt0(smndt0(xS),xR),sdtpldt0(xR,smndt0(xS))) = sdtasdt0(sdtpldt0(xS,smndt0(xR)),sdtpldt0(smndt0(xR),xS)),
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_135,c_0_67]),c_0_136]),c_0_137]),c_0_24]),c_0_88])]) ).
cnf(c_0_145,hypothesis,
aScalar0(sdtasdt0(smndt0(xS),sdtpldt0(smndt0(xS),xR))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_83]),c_0_140])]) ).
cnf(c_0_146,negated_conjecture,
( sdtpldt0(sdtpldt0(smndt0(sdtasdt0(xC,sdtasdt0(xG,smndt0(xR)))),sdtasdt0(smndt0(xS),sdtpldt0(xR,smndt0(xS)))),smndt0(xN)) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS)))
| ~ aScalar0(smndt0(sdtasdt0(xC,sdtasdt0(xG,smndt0(xR))))) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_68]),c_0_140]),c_0_83])]),c_0_142]) ).
cnf(c_0_147,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X2,sdtpldt0(X1,X3))
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X3) ),
inference(spm,[status(thm)],[c_0_68,c_0_120]) ).
cnf(c_0_148,hypothesis,
sdtpldt0(smndt0(sdtasdt0(xC,sdtasdt0(xG,smndt0(xR)))),smndt0(xN)) = sdtasdt0(xR,sdtpldt0(xR,smndt0(xS))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_131]),c_0_134]),c_0_24])]) ).
cnf(c_0_149,hypothesis,
sdtpldt0(sdtasdt0(smndt0(xS),sdtpldt0(xR,smndt0(xS))),sdtasdt0(xR,sdtpldt0(xR,smndt0(xS)))) = sdtasdt0(sdtpldt0(smndt0(xS),xR),sdtpldt0(xR,smndt0(xS))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_118]),c_0_143]),c_0_24])]) ).
cnf(c_0_150,hypothesis,
sdtasdt0(sdtpldt0(xS,smndt0(xR)),sdtpldt0(smndt0(xR),xS)) = sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_120]),c_0_63]),c_0_24])]) ).
cnf(c_0_151,hypothesis,
aScalar0(sdtasdt0(smndt0(xS),sdtpldt0(xR,smndt0(xS)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_120]),c_0_63]),c_0_24])]) ).
cnf(c_0_152,negated_conjecture,
~ aScalar0(smndt0(sdtasdt0(xC,sdtasdt0(xG,smndt0(xR))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148]),c_0_149]),c_0_144]),c_0_150]),c_0_151]),c_0_83])]) ).
cnf(c_0_153,hypothesis,
( aScalar0(smndt0(sdtasdt0(xC,sdtasdt0(xG,X1))))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_118]),c_0_24])]) ).
cnf(c_0_154,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_88])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : RNG062+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 08:56:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.25/5.42 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.25/5.42 # Preprocessing time : 0.017 s
% 0.25/5.42
% 0.25/5.42 # Proof found!
% 0.25/5.42 # SZS status Theorem
% 0.25/5.42 # SZS output start CNFRefutation
% See solution above
% 0.25/5.42 # Proof object total steps : 155
% 0.25/5.42 # Proof object clause steps : 121
% 0.25/5.42 # Proof object formula steps : 34
% 0.25/5.42 # Proof object conjectures : 8
% 0.25/5.42 # Proof object clause conjectures : 5
% 0.25/5.42 # Proof object formula conjectures : 3
% 0.25/5.42 # Proof object initial clauses used : 36
% 0.25/5.42 # Proof object initial formulas used : 19
% 0.25/5.42 # Proof object generating inferences : 71
% 0.25/5.42 # Proof object simplifying inferences : 209
% 0.25/5.42 # Training examples: 0 positive, 0 negative
% 0.25/5.42 # Parsed axioms : 61
% 0.25/5.42 # Removed by relevancy pruning/SinE : 0
% 0.25/5.42 # Initial clauses : 101
% 0.25/5.42 # Removed in clause preprocessing : 5
% 0.25/5.42 # Initial clauses in saturation : 96
% 0.25/5.42 # Processed clauses : 4974
% 0.25/5.42 # ...of these trivial : 676
% 0.25/5.42 # ...subsumed : 1534
% 0.25/5.42 # ...remaining for further processing : 2764
% 0.25/5.42 # Other redundant clauses eliminated : 1
% 0.25/5.42 # Clauses deleted for lack of memory : 200437
% 0.25/5.42 # Backward-subsumed : 15
% 0.25/5.42 # Backward-rewritten : 690
% 0.25/5.42 # Generated clauses : 369722
% 0.25/5.42 # ...of the previous two non-trivial : 359603
% 0.25/5.42 # Contextual simplify-reflections : 289
% 0.25/5.42 # Paramodulations : 369698
% 0.25/5.42 # Factorizations : 1
% 0.25/5.42 # Equation resolutions : 17
% 0.25/5.42 # Current number of processed clauses : 2057
% 0.25/5.42 # Positive orientable unit clauses : 691
% 0.25/5.42 # Positive unorientable unit clauses: 0
% 0.25/5.42 # Negative unit clauses : 28
% 0.25/5.42 # Non-unit-clauses : 1338
% 0.25/5.42 # Current number of unprocessed clauses: 105086
% 0.25/5.42 # ...number of literals in the above : 369682
% 0.25/5.42 # Current number of archived formulas : 0
% 0.25/5.42 # Current number of archived clauses : 705
% 0.25/5.42 # Clause-clause subsumption calls (NU) : 472848
% 0.25/5.42 # Rec. Clause-clause subsumption calls : 351575
% 0.25/5.42 # Non-unit clause-clause subsumptions : 1756
% 0.25/5.42 # Unit Clause-clause subsumption calls : 21322
% 0.25/5.42 # Rewrite failures with RHS unbound : 0
% 0.25/5.42 # BW rewrite match attempts : 2107
% 0.25/5.42 # BW rewrite match successes : 178
% 0.25/5.42 # Condensation attempts : 0
% 0.25/5.42 # Condensation successes : 0
% 0.25/5.42 # Termbank termtop insertions : 12419092
% 0.25/5.42
% 0.25/5.42 # -------------------------------------------------
% 0.25/5.42 # User time : 4.883 s
% 0.25/5.42 # System time : 0.123 s
% 0.25/5.42 # Total time : 5.006 s
% 0.25/5.42 # Maximum resident set size: 143412 pages
% 0.25/23.39 eprover: CPU time limit exceeded, terminating
% 0.25/23.40 eprover: CPU time limit exceeded, terminating
% 0.25/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.41 eprover: No such file or directory
% 0.25/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.42 eprover: No such file or directory
% 0.25/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.42 eprover: No such file or directory
% 0.25/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.42 eprover: No such file or directory
% 0.25/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.42 eprover: No such file or directory
% 0.25/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.42 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
%------------------------------------------------------------------------------