TSTP Solution File: RNG078+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : RNG078+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:15:39 EDT 2023
% Result : Theorem 27.60s 4.04s
% Output : CNFRefutation 27.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 84 ( 45 unt; 0 def)
% Number of atoms : 178 ( 57 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 164 ( 70 ~; 64 |; 26 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 16 con; 0-2 aty)
% Number of variables : 58 ( 2 sgn; 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/tmp/tmp.hATGNVHSRy/E---3.1_21544.p',mArith) ).
fof(m__1837,hypothesis,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox2/tmp/tmp.hATGNVHSRy/E---3.1_21544.p',m__1837) ).
fof(m__1746,hypothesis,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/export/starexec/sandbox2/tmp/tmp.hATGNVHSRy/E---3.1_21544.p',m__1746) ).
fof(m__1949,hypothesis,
( aScalar0(xN)
& xN = sdtasdt0(xR,xS) ),
file('/export/starexec/sandbox2/tmp/tmp.hATGNVHSRy/E---3.1_21544.p',m__1949) ).
fof(m__1873,hypothesis,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox2/tmp/tmp.hATGNVHSRy/E---3.1_21544.p',m__1873) ).
fof(m__1766,hypothesis,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/export/starexec/sandbox2/tmp/tmp.hATGNVHSRy/E---3.1_21544.p',m__1766) ).
fof(m__1854,hypothesis,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox2/tmp/tmp.hATGNVHSRy/E---3.1_21544.p',m__1854) ).
fof(mMulSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.hATGNVHSRy/E---3.1_21544.p',mMulSc) ).
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/tmp/tmp.hATGNVHSRy/E---3.1_21544.p',mDistr) ).
fof(m__1930,hypothesis,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/tmp/tmp.hATGNVHSRy/E---3.1_21544.p',m__1930) ).
fof(m__1800,hypothesis,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox2/tmp/tmp.hATGNVHSRy/E---3.1_21544.p',m__1800) ).
fof(m__,conjecture,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
file('/export/starexec/sandbox2/tmp/tmp.hATGNVHSRy/E---3.1_21544.p',m__) ).
fof(mSumSc,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> aScalar0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.hATGNVHSRy/E---3.1_21544.p',mSumSc) ).
fof(m__2835,hypothesis,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
file('/export/starexec/sandbox2/tmp/tmp.hATGNVHSRy/E---3.1_21544.p',m__2835) ).
fof(m__1911,hypothesis,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox2/tmp/tmp.hATGNVHSRy/E---3.1_21544.p',m__1911) ).
fof(m__1892,hypothesis,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/tmp/tmp.hATGNVHSRy/E---3.1_21544.p',m__1892) ).
fof(m__1820,hypothesis,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox2/tmp/tmp.hATGNVHSRy/E---3.1_21544.p',m__1820) ).
fof(m__2796,hypothesis,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
file('/export/starexec/sandbox2/tmp/tmp.hATGNVHSRy/E---3.1_21544.p',m__2796) ).
fof(m__1783,hypothesis,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox2/tmp/tmp.hATGNVHSRy/E---3.1_21544.p',m__1783) ).
fof(c_0_19,plain,
! [X41,X42,X43] :
( ( sdtpldt0(sdtpldt0(X41,X42),X43) = sdtpldt0(X41,sdtpldt0(X42,X43))
| ~ aScalar0(X41)
| ~ aScalar0(X42)
| ~ aScalar0(X43) )
& ( sdtpldt0(X41,X42) = sdtpldt0(X42,X41)
| ~ aScalar0(X41)
| ~ aScalar0(X42)
| ~ aScalar0(X43) )
& ( sdtasdt0(sdtasdt0(X41,X42),X43) = sdtasdt0(X41,sdtasdt0(X42,X43))
| ~ aScalar0(X41)
| ~ aScalar0(X42)
| ~ aScalar0(X43) )
& ( sdtasdt0(X41,X42) = sdtasdt0(X42,X41)
| ~ aScalar0(X41)
| ~ aScalar0(X42)
| ~ aScalar0(X43) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mArith])])]) ).
cnf(c_0_20,plain,
( sdtasdt0(sdtasdt0(X1,X2),X3) = sdtasdt0(X1,sdtasdt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_21,hypothesis,
xF = sdtasdt0(xA,xA),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_22,hypothesis,
aScalar0(xA),
inference(split_conjunct,[status(thm)],[m__1746]) ).
cnf(c_0_23,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,hypothesis,
aScalar0(xN),
inference(split_conjunct,[status(thm)],[m__1949]) ).
cnf(c_0_25,hypothesis,
( sdtasdt0(xA,sdtasdt0(xA,X1)) = sdtasdt0(xF,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_26,hypothesis,
xH = sdtasdt0(xA,xB),
inference(split_conjunct,[status(thm)],[m__1873]) ).
cnf(c_0_27,hypothesis,
aScalar0(xB),
inference(split_conjunct,[status(thm)],[m__1766]) ).
cnf(c_0_28,hypothesis,
xG = sdtasdt0(xB,xB),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_29,hypothesis,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,hypothesis,
sdtasdt0(xF,xB) = sdtasdt0(xA,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_31,hypothesis,
aScalar0(xF),
inference(split_conjunct,[status(thm)],[m__1837]) ).
cnf(c_0_32,hypothesis,
( sdtasdt0(xB,sdtasdt0(xB,X1)) = sdtasdt0(xG,X1)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_28]),c_0_27])]) ).
cnf(c_0_33,hypothesis,
sdtasdt0(xB,xF) = sdtasdt0(xA,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_27]),c_0_31])]) ).
fof(c_0_34,plain,
! [X20,X21] :
( ~ aScalar0(X20)
| ~ aScalar0(X21)
| aScalar0(sdtasdt0(X20,X21)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulSc])]) ).
cnf(c_0_35,hypothesis,
sdtasdt0(xB,sdtasdt0(xA,xH)) = sdtasdt0(xG,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_31])]) ).
cnf(c_0_36,hypothesis,
aScalar0(xH),
inference(split_conjunct,[status(thm)],[m__1873]) ).
cnf(c_0_37,plain,
( aScalar0(sdtasdt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_38,plain,
! [X44,X45,X46] :
( ( sdtasdt0(X44,sdtpldt0(X45,X46)) = sdtpldt0(sdtasdt0(X44,X45),sdtasdt0(X44,X46))
| ~ aScalar0(X44)
| ~ aScalar0(X45)
| ~ aScalar0(X46) )
& ( sdtasdt0(sdtpldt0(X44,X45),X46) = sdtpldt0(sdtasdt0(X44,X46),sdtasdt0(X45,X46))
| ~ aScalar0(X44)
| ~ aScalar0(X45)
| ~ aScalar0(X46) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistr])])]) ).
cnf(c_0_39,hypothesis,
sdtasdt0(xB,sdtasdt0(xH,xA)) = sdtasdt0(xG,xF),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_29]),c_0_36]),c_0_22])]) ).
cnf(c_0_40,hypothesis,
( sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(X2,sdtasdt0(X3,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_29]),c_0_37]) ).
cnf(c_0_41,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_38]) ).
cnf(c_0_42,hypothesis,
xS = sdtasdt0(xF,xD),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_43,hypothesis,
aScalar0(xD),
inference(split_conjunct,[status(thm)],[m__1800]) ).
cnf(c_0_44,hypothesis,
sdtasdt0(xG,xF) = sdtasdt0(xH,xH),
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_39,c_0_40]),c_0_26]),c_0_27]),c_0_22]),c_0_36])]) ).
cnf(c_0_45,hypothesis,
aScalar0(xG),
inference(split_conjunct,[status(thm)],[m__1854]) ).
cnf(c_0_46,hypothesis,
aScalar0(sdtasdt0(xA,xH)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_30]),c_0_27]),c_0_31])]) ).
fof(c_0_47,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
fof(c_0_48,plain,
! [X39,X40] :
( ~ aScalar0(X39)
| ~ aScalar0(X40)
| aScalar0(sdtpldt0(X39,X40)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSumSc])]) ).
cnf(c_0_49,hypothesis,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(sdtasdt0(xE,xH),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),
inference(split_conjunct,[status(thm)],[m__2835]) ).
cnf(c_0_50,hypothesis,
xP = sdtasdt0(xE,xH),
inference(split_conjunct,[status(thm)],[m__1911]) ).
cnf(c_0_51,hypothesis,
( sdtpldt0(sdtasdt0(xF,X1),xS) = sdtasdt0(xF,sdtpldt0(X1,xD))
| ~ aScalar0(X1) ),
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_31])]) ).
cnf(c_0_52,hypothesis,
sdtasdt0(xF,xG) = sdtasdt0(xH,xH),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_44]),c_0_31]),c_0_45])]) ).
cnf(c_0_53,hypothesis,
aScalar0(sdtasdt0(xG,xF)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_35]),c_0_46]),c_0_27])]) ).
cnf(c_0_54,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_55,hypothesis,
xR = sdtasdt0(xC,xG),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_56,hypothesis,
aScalar0(xE),
inference(split_conjunct,[status(thm)],[m__1820]) ).
cnf(c_0_57,plain,
( sdtpldt0(sdtpldt0(X1,X2),X3) = sdtpldt0(X1,sdtpldt0(X2,X3))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_58,plain,
( aScalar0(sdtpldt0(X1,X2))
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,hypothesis,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(sdtpldt0(xR,xS),sdtasdt0(xH,xH)))),
inference(split_conjunct,[status(thm)],[m__2796]) ).
cnf(c_0_60,hypothesis,
aScalar0(xS),
inference(split_conjunct,[status(thm)],[m__1930]) ).
cnf(c_0_61,hypothesis,
aScalar0(xR),
inference(split_conjunct,[status(thm)],[m__1892]) ).
cnf(c_0_62,hypothesis,
sdtpldt0(xP,sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))) = sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)),
inference(rw,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_63,hypothesis,
( sdtpldt0(xS,sdtasdt0(xF,X1)) = sdtasdt0(xF,sdtpldt0(xD,X1))
| ~ aScalar0(X1) ),
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_31])]) ).
cnf(c_0_64,hypothesis,
sdtpldt0(sdtasdt0(xH,xH),xS) = sdtasdt0(xF,sdtpldt0(xG,xD)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_45])]) ).
cnf(c_0_65,hypothesis,
aScalar0(sdtasdt0(xH,xH)),
inference(rw,[status(thm)],[c_0_53,c_0_44]) ).
cnf(c_0_66,plain,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_67,negated_conjecture,
~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_50]),c_0_55]),c_0_42]) ).
cnf(c_0_68,hypothesis,
sdtasdt0(xH,xE) = xP,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_29]),c_0_56]),c_0_36])]) ).
cnf(c_0_69,plain,
( sdtpldt0(sdtpldt0(X1,sdtpldt0(X2,X3)),X4) = sdtpldt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_57]),c_0_58]) ).
cnf(c_0_70,hypothesis,
( sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(xR,sdtpldt0(xS,sdtasdt0(xH,xH)))))
| ~ aScalar0(sdtasdt0(xH,xH)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_57]),c_0_60]),c_0_61])]) ).
cnf(c_0_71,hypothesis,
sdtpldt0(sdtpldt0(xP,xP),sdtasdt0(xH,xH)) = sdtpldt0(xP,sdtasdt0(xH,sdtpldt0(xE,xH))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_41]),c_0_36]),c_0_56])]) ).
cnf(c_0_72,hypothesis,
sdtpldt0(xS,sdtasdt0(xH,xH)) = sdtasdt0(xF,sdtpldt0(xD,xG)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_52]),c_0_45])]) ).
cnf(c_0_73,hypothesis,
aScalar0(sdtasdt0(xF,sdtpldt0(xG,xD))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_64]),c_0_60]),c_0_65])]) ).
cnf(c_0_74,hypothesis,
( sdtpldt0(X1,X2) = sdtpldt0(X2,X1)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_24]) ).
cnf(c_0_75,negated_conjecture,
( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xH,xH))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(xR,sdtpldt0(xS,sdtasdt0(xF,xG)))))
| ~ aScalar0(sdtpldt0(xS,sdtasdt0(xF,xG)))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_57]),c_0_61])]),c_0_68]) ).
cnf(c_0_76,plain,
( sdtpldt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4)) = sdtpldt0(X1,sdtpldt0(sdtpldt0(X2,X3),X4))
| ~ aScalar0(X4)
| ~ aScalar0(X1)
| ~ aScalar0(X3)
| ~ aScalar0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_69]),c_0_58]) ).
cnf(c_0_77,hypothesis,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),sdtpldt0(xP,sdtasdt0(xH,sdtpldt0(xE,xH)))),sdtpldt0(sdtasdt0(xC,xD),sdtpldt0(xR,sdtasdt0(xF,sdtpldt0(xD,xG))))),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71]),c_0_65])]),c_0_72]) ).
cnf(c_0_78,hypothesis,
aScalar0(sdtasdt0(xF,sdtpldt0(xD,xG))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_43]),c_0_45])]) ).
cnf(c_0_79,hypothesis,
aScalar0(xP),
inference(split_conjunct,[status(thm)],[m__1911]) ).
cnf(c_0_80,negated_conjecture,
( ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE)) ),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_71]),c_0_52]),c_0_72]),c_0_77]),c_0_52]),c_0_72]),c_0_78]),c_0_65]),c_0_79])]) ).
cnf(c_0_81,hypothesis,
aScalar0(xC),
inference(split_conjunct,[status(thm)],[m__1783]) ).
cnf(c_0_82,negated_conjecture,
~ aScalar0(sdtasdt0(xE,xE)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_37]),c_0_43]),c_0_81])]) ).
cnf(c_0_83,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_37]),c_0_56])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG078+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 2400
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Oct 2 19:34:00 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 Running first-order model finding
% 0.22/0.50 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/tmp/tmp.hATGNVHSRy/E---3.1_21544.p
% 27.60/4.04 # Version: 3.1pre001
% 27.60/4.04 # Preprocessing class: FSLSSMSMSSSNFFN.
% 27.60/4.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 27.60/4.04 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 27.60/4.04 # Starting new_bool_3 with 300s (1) cores
% 27.60/4.04 # Starting new_bool_1 with 300s (1) cores
% 27.60/4.04 # Starting sh5l with 300s (1) cores
% 27.60/4.04 # new_bool_3 with pid 21726 completed with status 0
% 27.60/4.04 # Result found by new_bool_3
% 27.60/4.04 # Preprocessing class: FSLSSMSMSSSNFFN.
% 27.60/4.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 27.60/4.04 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 27.60/4.04 # Starting new_bool_3 with 300s (1) cores
% 27.60/4.04 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 27.60/4.04 # Search class: FGHSF-FFMM21-MFFFFFNN
% 27.60/4.04 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 27.60/4.04 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 27.60/4.04 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 21733 completed with status 0
% 27.60/4.04 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 27.60/4.04 # Preprocessing class: FSLSSMSMSSSNFFN.
% 27.60/4.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 27.60/4.04 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 27.60/4.04 # Starting new_bool_3 with 300s (1) cores
% 27.60/4.04 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 27.60/4.04 # Search class: FGHSF-FFMM21-MFFFFFNN
% 27.60/4.04 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 27.60/4.04 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 27.60/4.04 # Preprocessing time : 0.002 s
% 27.60/4.04 # Presaturation interreduction done
% 27.60/4.04
% 27.60/4.04 # Proof found!
% 27.60/4.04 # SZS status Theorem
% 27.60/4.04 # SZS output start CNFRefutation
% See solution above
% 27.60/4.04 # Parsed axioms : 60
% 27.60/4.04 # Removed by relevancy pruning/SinE : 4
% 27.60/4.04 # Initial clauses : 82
% 27.60/4.04 # Removed in clause preprocessing : 5
% 27.60/4.04 # Initial clauses in saturation : 77
% 27.60/4.04 # Processed clauses : 11713
% 27.60/4.04 # ...of these trivial : 456
% 27.60/4.04 # ...subsumed : 5951
% 27.60/4.04 # ...remaining for further processing : 5306
% 27.60/4.04 # Other redundant clauses eliminated : 3
% 27.60/4.04 # Clauses deleted for lack of memory : 0
% 27.60/4.04 # Backward-subsumed : 75
% 27.60/4.04 # Backward-rewritten : 384
% 27.60/4.04 # Generated clauses : 193802
% 27.60/4.04 # ...of the previous two non-redundant : 191156
% 27.60/4.04 # ...aggressively subsumed : 0
% 27.60/4.04 # Contextual simplify-reflections : 170
% 27.60/4.04 # Paramodulations : 193766
% 27.60/4.04 # Factorizations : 0
% 27.60/4.04 # NegExts : 0
% 27.60/4.04 # Equation resolutions : 36
% 27.60/4.04 # Total rewrite steps : 148144
% 27.60/4.04 # Propositional unsat checks : 1
% 27.60/4.04 # Propositional check models : 0
% 27.60/4.04 # Propositional check unsatisfiable : 0
% 27.60/4.04 # Propositional clauses : 0
% 27.60/4.04 # Propositional clauses after purity: 0
% 27.60/4.04 # Propositional unsat core size : 0
% 27.60/4.04 # Propositional preprocessing time : 0.000
% 27.60/4.04 # Propositional encoding time : 0.263
% 27.60/4.04 # Propositional solver time : 0.304
% 27.60/4.04 # Success case prop preproc time : 0.000
% 27.60/4.04 # Success case prop encoding time : 0.000
% 27.60/4.04 # Success case prop solver time : 0.000
% 27.60/4.04 # Current number of processed clauses : 4767
% 27.60/4.04 # Positive orientable unit clauses : 857
% 27.60/4.04 # Positive unorientable unit clauses: 0
% 27.60/4.04 # Negative unit clauses : 7
% 27.60/4.04 # Non-unit-clauses : 3903
% 27.60/4.04 # Current number of unprocessed clauses: 179134
% 27.60/4.04 # ...number of literals in the above : 781478
% 27.60/4.04 # Current number of archived formulas : 0
% 27.60/4.04 # Current number of archived clauses : 536
% 27.60/4.04 # Clause-clause subsumption calls (NU) : 1728162
% 27.60/4.04 # Rec. Clause-clause subsumption calls : 774712
% 27.60/4.04 # Non-unit clause-clause subsumptions : 6179
% 27.60/4.04 # Unit Clause-clause subsumption calls : 141543
% 27.60/4.04 # Rewrite failures with RHS unbound : 0
% 27.60/4.04 # BW rewrite match attempts : 11862
% 27.60/4.04 # BW rewrite match successes : 69
% 27.60/4.04 # Condensation attempts : 0
% 27.60/4.04 # Condensation successes : 0
% 27.60/4.04 # Termbank termtop insertions : 6119346
% 27.60/4.04
% 27.60/4.04 # -------------------------------------------------
% 27.60/4.04 # User time : 3.240 s
% 27.60/4.04 # System time : 0.164 s
% 27.60/4.04 # Total time : 3.404 s
% 27.60/4.04 # Maximum resident set size: 2012 pages
% 27.60/4.04
% 27.60/4.04 # -------------------------------------------------
% 27.60/4.04 # User time : 3.241 s
% 27.60/4.04 # System time : 0.167 s
% 27.60/4.04 # Total time : 3.408 s
% 27.60/4.04 # Maximum resident set size: 1744 pages
% 27.60/4.04 % E---3.1 exiting
%------------------------------------------------------------------------------