TSTP Solution File: RNG060+1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : RNG060+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n018.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 : 300s
% DateTime : Tue May 21 02:36:53 EDT 2024
% Result : Theorem 10.74s 1.86s
% Output : CNFRefutation 10.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 70 ( 32 unt; 0 def)
% Number of atoms : 165 ( 60 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 161 ( 66 ~; 61 |; 28 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 58 ( 1 sgn 30 !; 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/benchmark/theBenchmark.p',mMNeg) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(m__1930,hypothesis,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(m__1800,hypothesis,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(m__1837,hypothesis,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(mNegSc,axiom,
! [X1] :
( aScalar0(X1)
=> aScalar0(smndt0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).
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/benchmark/theBenchmark.p',mDistr) ).
fof(m__1892,hypothesis,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(m__1854,hypothesis,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
fof(m__1783,hypothesis,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
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/benchmark/theBenchmark.p',m__2144) ).
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/benchmark/theBenchmark.p',mArith) ).
fof(m__1949,hypothesis,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
fof(m__,conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',mDistr2) ).
fof(c_0_15,plain,
! [X31,X32] :
( ( sdtasdt0(X31,smndt0(X32)) = smndt0(sdtasdt0(X31,X32))
| ~ aScalar0(X31)
| ~ aScalar0(X32) )
& ( sdtasdt0(smndt0(X31),X32) = smndt0(sdtasdt0(X31,X32))
| ~ aScalar0(X31)
| ~ aScalar0(X32) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMNeg])])])]) ).
fof(c_0_16,plain,
! [X17,X18] :
( ~ aScalar0(X17)
| ~ aScalar0(X18)
| aScalar0(sdtasdt0(X17,X18)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])])]) ).
cnf(c_0_17,plain,
( sdtasdt0(X1,smndt0(X2)) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,hypothesis,
xS = sdtasdt0(xF,xD),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_19,hypothesis,
aScalar0(xD),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_20,hypothesis,
aScalar0(xF),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_21,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,hypothesis,
sdtasdt0(xF,smndt0(xD)) = smndt0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).
fof(c_0_23,plain,
! [X19] :
( ~ aScalar0(X19)
| aScalar0(smndt0(X19)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNegSc])])]) ).
fof(c_0_24,plain,
! [X24,X25,X26] :
( ( sdtasdt0(X24,sdtpldt0(X25,X26)) = sdtpldt0(sdtasdt0(X24,X25),sdtasdt0(X24,X26))
| ~ aScalar0(X24)
| ~ aScalar0(X25)
| ~ aScalar0(X26) )
& ( sdtasdt0(sdtpldt0(X24,X25),X26) = sdtpldt0(sdtasdt0(X24,X26),sdtasdt0(X25,X26))
| ~ aScalar0(X24)
| ~ aScalar0(X25)
| ~ aScalar0(X26) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistr])])])]) ).
cnf(c_0_25,hypothesis,
( aScalar0(smndt0(xS))
| ~ aScalar0(smndt0(xD)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_20])]) ).
cnf(c_0_26,plain,
( aScalar0(smndt0(X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,hypothesis,
xR = sdtasdt0(xC,xG),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_28,hypothesis,
aScalar0(xG),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_29,hypothesis,
aScalar0(xC),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_30,plain,
( sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,hypothesis,
sdtasdt0(smndt0(xS),xR) = smndt0(xN),
inference(split_conjunct,[status(thm)],[m__2144]) ).
cnf(c_0_32,hypothesis,
aScalar0(xR),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_33,hypothesis,
aScalar0(smndt0(xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_19])]) ).
fof(c_0_34,plain,
! [X21,X22,X23] :
( ( sdtpldt0(sdtpldt0(X21,X22),X23) = sdtpldt0(X21,sdtpldt0(X22,X23))
| ~ aScalar0(X21)
| ~ aScalar0(X22)
| ~ aScalar0(X23) )
& ( sdtpldt0(X21,X22) = sdtpldt0(X22,X21)
| ~ aScalar0(X21)
| ~ aScalar0(X22)
| ~ aScalar0(X23) )
& ( sdtasdt0(sdtasdt0(X21,X22),X23) = sdtasdt0(X21,sdtasdt0(X22,X23))
| ~ aScalar0(X21)
| ~ aScalar0(X22)
| ~ aScalar0(X23) )
& ( sdtasdt0(X21,X22) = sdtasdt0(X22,X21)
| ~ aScalar0(X21)
| ~ aScalar0(X22)
| ~ aScalar0(X23) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])])]) ).
cnf(c_0_35,hypothesis,
sdtasdt0(smndt0(xS),smndt0(xS)) = sdtasdt0(xS,xS),
inference(split_conjunct,[status(thm)],[m__2144]) ).
cnf(c_0_36,hypothesis,
sdtasdt0(xC,smndt0(xG)) = smndt0(xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_27]),c_0_28]),c_0_29])]) ).
cnf(c_0_37,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_30,c_0_31]),c_0_32])]),c_0_33])]) ).
cnf(c_0_38,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,hypothesis,
aScalar0(xN),
inference(split_conjunct,[status(thm)],[m__1949]) ).
cnf(c_0_40,hypothesis,
( sdtpldt0(sdtasdt0(smndt0(xS),X1),sdtasdt0(xS,xS)) = sdtasdt0(smndt0(xS),sdtpldt0(X1,smndt0(xS)))
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_35]),c_0_33])]) ).
cnf(c_0_41,plain,
( sdtasdt0(smndt0(X1),X2) = smndt0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_42,hypothesis,
xN = sdtasdt0(xR,xS),
inference(split_conjunct,[status(thm)],[m__1949]) ).
cnf(c_0_43,hypothesis,
aScalar0(xS),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_44,hypothesis,
( aScalar0(smndt0(xR))
| ~ aScalar0(smndt0(xG)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_36]),c_0_29])]) ).
fof(c_0_45,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_46,hypothesis,
sdtasdt0(xR,smndt0(xS)) = smndt0(xN),
inference(split_conjunct,[status(thm)],[m__2144]) ).
cnf(c_0_47,hypothesis,
sdtasdt0(smndt0(xS),sdtpldt0(smndt0(xS),xR)) = sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_35]),c_0_33])]) ).
cnf(c_0_48,hypothesis,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_49,hypothesis,
sdtasdt0(smndt0(xS),sdtpldt0(xR,smndt0(xS))) = sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_31]),c_0_32])]) ).
cnf(c_0_50,plain,
( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_51,hypothesis,
sdtasdt0(smndt0(xR),xS) = smndt0(xN),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_32])]) ).
cnf(c_0_52,hypothesis,
aScalar0(smndt0(xR)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_26]),c_0_28])]) ).
fof(c_0_53,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(fof_nnf,[status(thm)],[c_0_45]) ).
cnf(c_0_54,hypothesis,
( aScalar0(smndt0(xN))
| ~ aScalar0(smndt0(xS)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_46]),c_0_32])]) ).
cnf(c_0_55,hypothesis,
( aScalar0(sdtasdt0(xS,xS))
| ~ aScalar0(smndt0(xS)) ),
inference(spm,[status(thm)],[c_0_21,c_0_35]) ).
fof(c_0_56,plain,
! [X27,X28,X29,X30] :
( ~ aScalar0(X27)
| ~ aScalar0(X28)
| ~ aScalar0(X29)
| ~ aScalar0(X30)
| sdtasdt0(sdtpldt0(X27,X28),sdtpldt0(X29,X30)) = sdtpldt0(sdtpldt0(sdtasdt0(X27,X29),sdtasdt0(X27,X30)),sdtpldt0(sdtasdt0(X28,X29),sdtasdt0(X28,X30))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistr2])])]) ).
cnf(c_0_57,hypothesis,
sdtpldt0(smndt0(xN),sdtasdt0(xS,xS)) = sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_32]),c_0_33])]),c_0_49]) ).
cnf(c_0_58,hypothesis,
( sdtpldt0(smndt0(xN),sdtasdt0(X1,xS)) = sdtasdt0(sdtpldt0(smndt0(xR),X1),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_50,c_0_51]),c_0_43])]),c_0_52])]) ).
cnf(c_0_59,negated_conjecture,
sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))) != sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(smndt0(xN),sdtasdt0(xS,xS))),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_60,hypothesis,
aScalar0(smndt0(xN)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_33])]) ).
cnf(c_0_61,hypothesis,
aScalar0(sdtasdt0(xS,xS)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_33])]) ).
cnf(c_0_62,plain,
( sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = sdtpldt0(sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X1,X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4)))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_63,hypothesis,
( sdtpldt0(sdtasdt0(X1,xS),smndt0(xN)) = sdtasdt0(sdtpldt0(X1,smndt0(xR)),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_50,c_0_51]),c_0_43])]),c_0_52])]) ).
cnf(c_0_64,hypothesis,
sdtpldt0(sdtasdt0(xS,xS),smndt0(xN)) = sdtasdt0(sdtpldt0(smndt0(xR),xS),xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_43])]) ).
cnf(c_0_65,negated_conjecture,
sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtpldt0(sdtasdt0(xS,xS),smndt0(xN))) != 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_59,c_0_48]),c_0_60]),c_0_61])]) ).
cnf(c_0_66,hypothesis,
( sdtpldt0(sdtpldt0(sdtasdt0(X1,xR),sdtasdt0(X1,X2)),sdtpldt0(smndt0(xN),sdtasdt0(smndt0(xS),X2))) = sdtasdt0(sdtpldt0(X1,smndt0(xS)),sdtpldt0(xR,X2))
| ~ 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_62,c_0_31]),c_0_32])]),c_0_33])]) ).
cnf(c_0_67,hypothesis,
sdtasdt0(sdtpldt0(smndt0(xR),xS),xS) = sdtasdt0(sdtpldt0(xS,smndt0(xR)),xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_43])]) ).
cnf(c_0_68,negated_conjecture,
sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),smndt0(xN)),sdtasdt0(sdtpldt0(xS,smndt0(xR)),xS)) != sdtasdt0(sdtpldt0(xR,smndt0(xS)),sdtpldt0(xR,smndt0(xS))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_63]),c_0_43])]) ).
cnf(c_0_69,hypothesis,
$false,
inference(sr,[status(thm)],[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_66,c_0_46]),c_0_35]),c_0_57]),c_0_64]),c_0_67]),c_0_33]),c_0_32])]),c_0_68]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG060+1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat May 18 12:04:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order model finding
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.74/1.86 # Version: 3.1.0
% 10.74/1.86 # Preprocessing class: FSLSSMSMSSSNFFN.
% 10.74/1.86 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.74/1.86 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 10.74/1.86 # Starting new_bool_3 with 300s (1) cores
% 10.74/1.86 # Starting new_bool_1 with 300s (1) cores
% 10.74/1.86 # Starting sh5l with 300s (1) cores
% 10.74/1.86 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 13925 completed with status 0
% 10.74/1.86 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 10.74/1.86 # Preprocessing class: FSLSSMSMSSSNFFN.
% 10.74/1.86 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.74/1.86 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 10.74/1.86 # No SInE strategy applied
% 10.74/1.86 # Search class: FGHSF-FFMM21-MFFFFFNN
% 10.74/1.86 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 10.74/1.86 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 10.74/1.86 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 10.74/1.86 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 10.74/1.86 # Starting new_bool_3 with 136s (1) cores
% 10.74/1.86 # Starting new_bool_1 with 136s (1) cores
% 10.74/1.86 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 13931 completed with status 0
% 10.74/1.86 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 10.74/1.86 # Preprocessing class: FSLSSMSMSSSNFFN.
% 10.74/1.86 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.74/1.86 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 10.74/1.86 # No SInE strategy applied
% 10.74/1.86 # Search class: FGHSF-FFMM21-MFFFFFNN
% 10.74/1.86 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 10.74/1.86 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 10.74/1.86 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 10.74/1.86 # Preprocessing time : 0.002 s
% 10.74/1.86 # Presaturation interreduction done
% 10.74/1.86
% 10.74/1.86 # Proof found!
% 10.74/1.86 # SZS status Theorem
% 10.74/1.86 # SZS output start CNFRefutation
% See solution above
% 10.74/1.86 # Parsed axioms : 59
% 10.74/1.86 # Removed by relevancy pruning/SinE : 0
% 10.74/1.86 # Initial clauses : 95
% 10.74/1.86 # Removed in clause preprocessing : 5
% 10.74/1.86 # Initial clauses in saturation : 90
% 10.74/1.86 # Processed clauses : 4351
% 10.74/1.86 # ...of these trivial : 1050
% 10.74/1.86 # ...subsumed : 1403
% 10.74/1.86 # ...remaining for further processing : 1898
% 10.74/1.86 # Other redundant clauses eliminated : 5
% 10.74/1.86 # Clauses deleted for lack of memory : 0
% 10.74/1.86 # Backward-subsumed : 9
% 10.74/1.86 # Backward-rewritten : 344
% 10.74/1.86 # Generated clauses : 104021
% 10.74/1.86 # ...of the previous two non-redundant : 97203
% 10.74/1.86 # ...aggressively subsumed : 0
% 10.74/1.86 # Contextual simplify-reflections : 96
% 10.74/1.86 # Paramodulations : 104006
% 10.74/1.86 # Factorizations : 0
% 10.74/1.86 # NegExts : 0
% 10.74/1.86 # Equation resolutions : 15
% 10.74/1.86 # Disequality decompositions : 0
% 10.74/1.86 # Total rewrite steps : 196109
% 10.74/1.86 # ...of those cached : 195224
% 10.74/1.86 # Propositional unsat checks : 0
% 10.74/1.86 # Propositional check models : 0
% 10.74/1.86 # Propositional check unsatisfiable : 0
% 10.74/1.86 # Propositional clauses : 0
% 10.74/1.86 # Propositional clauses after purity: 0
% 10.74/1.86 # Propositional unsat core size : 0
% 10.74/1.86 # Propositional preprocessing time : 0.000
% 10.74/1.86 # Propositional encoding time : 0.000
% 10.74/1.86 # Propositional solver time : 0.000
% 10.74/1.86 # Success case prop preproc time : 0.000
% 10.74/1.86 # Success case prop encoding time : 0.000
% 10.74/1.86 # Success case prop solver time : 0.000
% 10.74/1.86 # Current number of processed clauses : 1452
% 10.74/1.86 # Positive orientable unit clauses : 860
% 10.74/1.86 # Positive unorientable unit clauses: 0
% 10.74/1.86 # Negative unit clauses : 5
% 10.74/1.86 # Non-unit-clauses : 587
% 10.74/1.86 # Current number of unprocessed clauses: 92211
% 10.74/1.86 # ...number of literals in the above : 354115
% 10.74/1.86 # Current number of archived formulas : 0
% 10.74/1.86 # Current number of archived clauses : 443
% 10.74/1.86 # Clause-clause subsumption calls (NU) : 108815
% 10.74/1.86 # Rec. Clause-clause subsumption calls : 52107
% 10.74/1.86 # Non-unit clause-clause subsumptions : 1474
% 10.74/1.86 # Unit Clause-clause subsumption calls : 9522
% 10.74/1.86 # Rewrite failures with RHS unbound : 0
% 10.74/1.86 # BW rewrite match attempts : 1424
% 10.74/1.86 # BW rewrite match successes : 121
% 10.74/1.86 # Condensation attempts : 0
% 10.74/1.86 # Condensation successes : 0
% 10.74/1.86 # Termbank termtop insertions : 3320632
% 10.74/1.86 # Search garbage collected termcells : 885
% 10.74/1.86
% 10.74/1.86 # -------------------------------------------------
% 10.74/1.86 # User time : 1.225 s
% 10.74/1.86 # System time : 0.051 s
% 10.74/1.86 # Total time : 1.276 s
% 10.74/1.86 # Maximum resident set size: 1936 pages
% 10.74/1.86
% 10.74/1.86 # -------------------------------------------------
% 10.74/1.86 # User time : 6.437 s
% 10.74/1.86 # System time : 0.183 s
% 10.74/1.86 # Total time : 6.620 s
% 10.74/1.86 # Maximum resident set size: 1756 pages
% 10.74/1.86 % E---3.1 exiting
%------------------------------------------------------------------------------