%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NUM424+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:49:01 PM UTC 2026
% Result : Theorem 5.49s 1.26s
% Output : CNFRefutation 5.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 16
% Syntax : Number of formulae : 147 ( 59 unt; 0 def)
% Number of atoms : 342 ( 132 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 334 ( 139 ~; 127 |; 51 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn 51 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb))
& aInteger0(X1) ) )
=> ( sdteqdtlpzmzozddtrp0(xb,xa,xq)
| aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
| ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(xb,smndt0(xa))
& aInteger0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__704,hypothesis,
( xq != sz00
& aInteger0(xq)
& aInteger0(xb)
& aInteger0(xa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__704) ).
fof(mAddAsso,axiom,
! [X1,X2,X3] :
( ( aInteger0(X3)
& aInteger0(X2)
& aInteger0(X1) )
=> sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(mIntNeg,axiom,
! [X1] :
( aInteger0(X1)
=> aInteger0(smndt0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).
fof(mIntPlus,axiom,
! [X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1) )
=> aInteger0(sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntPlus) ).
fof(mAddZero,axiom,
! [X1] :
( aInteger0(X1)
=> ( X1 = sdtpldt0(sz00,X1)
& sdtpldt0(X1,sz00) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(mAddNeg,axiom,
! [X1] :
( aInteger0(X1)
=> ( sz00 = sdtpldt0(smndt0(X1),X1)
& sdtpldt0(X1,smndt0(X1)) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).
fof(mIntZero,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntZero) ).
fof(mAddComm,axiom,
! [X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1) )
=> sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(mDistrib,axiom,
! [X1,X2,X3] :
( ( aInteger0(X3)
& aInteger0(X2)
& aInteger0(X1) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X3) = sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3))
& sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistrib) ).
fof(mIntMult,axiom,
! [X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1) )
=> aInteger0(sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntMult) ).
fof(mMulMinOne,axiom,
! [X1] :
( aInteger0(X1)
=> ( smndt0(X1) = sdtasdt0(X1,smndt0(sz10))
& sdtasdt0(smndt0(sz10),X1) = smndt0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMinOne) ).
fof(mIntOne,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntOne) ).
fof(mMulComm,axiom,
! [X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(mMulAsso,axiom,
! [X1,X2,X3] :
( ( aInteger0(X3)
& aInteger0(X2)
& aInteger0(X1) )
=> sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(mDivisor,axiom,
! [X1] :
( aInteger0(X1)
=> ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( ? [X3] :
( sdtasdt0(X2,X3) = X1
& aInteger0(X3) )
& X2 != sz00
& aInteger0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivisor) ).
fof(c_0_16,negated_conjecture,
~ ( ( sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(xa,smndt0(xb))
& aInteger0(X1) ) )
=> ( sdteqdtlpzmzozddtrp0(xb,xa,xq)
| aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
| ? [X1] :
( sdtasdt0(xq,X1) = sdtpldt0(xb,smndt0(xa))
& aInteger0(X1) ) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_17,hypothesis,
( xq != sz00
& aInteger0(xq)
& aInteger0(xb)
& aInteger0(xa) ),
inference(fof_simplification,[status(thm)],[m__704]) ).
fof(c_0_18,plain,
! [X10,X11,X12] :
( sdtpldt0(X10,sdtpldt0(X11,X12)) = sdtpldt0(sdtpldt0(X10,X11),X12)
| ~ aInteger0(X12)
| ~ aInteger0(X11)
| ~ aInteger0(X10) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddAsso])])]) ).
fof(c_0_19,negated_conjecture,
! [X41] :
( ~ sdteqdtlpzmzozddtrp0(xb,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(xb,smndt0(xa)))
& ( sdtasdt0(xq,X41) != sdtpldt0(xb,smndt0(xa))
| ~ aInteger0(X41) )
& sdteqdtlpzmzozddtrp0(xa,xb,xq)
& aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
& sdtasdt0(xq,esk2_0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(esk2_0) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])]) ).
fof(c_0_20,hypothesis,
( xq != sz00
& aInteger0(xq)
& aInteger0(xb)
& aInteger0(xa) ),
inference(fof_nnf,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
sdtasdt0(xq,esk2_0) = sdtpldt0(xa,smndt0(xb)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,hypothesis,
aInteger0(xa),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_24,plain,
! [X5] :
( aInteger0(smndt0(X5))
| ~ aInteger0(X5) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntNeg])])]) ).
fof(c_0_25,plain,
! [X6,X7] :
( aInteger0(sdtpldt0(X6,X7))
| ~ aInteger0(X7)
| ~ aInteger0(X6) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntPlus])])]) ).
cnf(c_0_26,negated_conjecture,
( ~ aInteger0(X1)
| ~ aInteger0(smndt0(xb))
| sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,esk2_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_27,plain,
( ~ aInteger0(X1)
| aInteger0(smndt0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,hypothesis,
aInteger0(xb),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_29,plain,
! [X15] :
( ( ~ aInteger0(X15)
| X15 = sdtpldt0(sz00,X15) )
& ( ~ aInteger0(X15)
| sdtpldt0(X15,sz00) = X15 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])])]) ).
fof(c_0_30,plain,
! [X16] :
( ( ~ aInteger0(X16)
| sz00 = sdtpldt0(smndt0(X16),X16) )
& ( ~ aInteger0(X16)
| sdtpldt0(X16,smndt0(X16)) = sz00 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddNeg])])])]) ).
cnf(c_0_31,plain,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| aInteger0(sdtpldt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,negated_conjecture,
( ~ aInteger0(X1)
| sdtpldt0(xa,sdtpldt0(smndt0(xb),X1)) = sdtpldt0(sdtasdt0(xq,esk2_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_33,plain,
( ~ aInteger0(X1)
| sdtpldt0(X1,sz00) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,plain,
aInteger0(sz00),
inference(split_conjunct,[status(thm)],[mIntZero]) ).
fof(c_0_35,plain,
! [X13,X14] :
( sdtpldt0(X13,X14) = sdtpldt0(X14,X13)
| ~ aInteger0(X14)
| ~ aInteger0(X13) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddComm])])]) ).
cnf(c_0_36,plain,
( ~ aInteger0(X1)
| sz00 = sdtpldt0(smndt0(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,negated_conjecture,
( ~ aInteger0(smndt0(xb))
| aInteger0(sdtasdt0(xq,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_22]),c_0_23])]) ).
cnf(c_0_38,negated_conjecture,
( ~ aInteger0(smndt0(xb))
| sdtpldt0(sdtasdt0(xq,esk2_0),sz00) = sdtasdt0(xq,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_22]),c_0_34])]) ).
cnf(c_0_39,plain,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtpldt0(X1,X2) = sdtpldt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,negated_conjecture,
sdtpldt0(sdtasdt0(xq,esk2_0),xb) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_36]),c_0_28])]) ).
cnf(c_0_41,negated_conjecture,
aInteger0(sdtasdt0(xq,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_27]),c_0_28])]) ).
cnf(c_0_42,negated_conjecture,
sdtpldt0(sdtasdt0(xq,esk2_0),sz00) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_27]),c_0_28])]) ).
cnf(c_0_43,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(smndt0(X1),sdtpldt0(X1,X2)) = sdtpldt0(sz00,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_36]),c_0_27]) ).
cnf(c_0_44,negated_conjecture,
sdtpldt0(xb,sdtasdt0(xq,esk2_0)) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_28]),c_0_41])]) ).
cnf(c_0_45,negated_conjecture,
sdtpldt0(sz00,sdtasdt0(xq,esk2_0)) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_42]),c_0_34]),c_0_41])]) ).
cnf(c_0_46,plain,
( ~ aInteger0(X1)
| sdtpldt0(X1,smndt0(X1)) = sz00 ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_47,negated_conjecture,
sdtpldt0(smndt0(xb),sdtpldt0(xa,sz00)) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_41]),c_0_28])]) ).
cnf(c_0_48,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(X1,sdtpldt0(smndt0(X1),X2)) = sdtpldt0(sz00,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_46]),c_0_27]) ).
cnf(c_0_49,negated_conjecture,
sdtpldt0(smndt0(xb),xa) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_33]),c_0_23])]) ).
fof(c_0_50,plain,
! [X23,X24,X25] :
( ( ~ aInteger0(X25)
| ~ aInteger0(X24)
| ~ aInteger0(X23)
| sdtasdt0(sdtpldt0(X23,X24),X25) = sdtpldt0(sdtasdt0(X23,X25),sdtasdt0(X24,X25)) )
& ( ~ aInteger0(X25)
| ~ aInteger0(X24)
| ~ aInteger0(X23)
| sdtasdt0(X23,sdtpldt0(X24,X25)) = sdtpldt0(sdtasdt0(X23,X24),sdtasdt0(X23,X25)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mDistrib])])])]) ).
fof(c_0_51,plain,
! [X8,X9] :
( aInteger0(sdtasdt0(X8,X9))
| ~ aInteger0(X9)
| ~ aInteger0(X8) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mIntMult])])]) ).
cnf(c_0_52,negated_conjecture,
sdtpldt0(xa,sz00) = sdtpldt0(sz00,xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_44]),c_0_23]),c_0_28])]) ).
cnf(c_0_53,plain,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_54,plain,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| aInteger0(sdtasdt0(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_55,negated_conjecture,
sdtpldt0(sz00,xa) = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_52]),c_0_23])]) ).
cnf(c_0_56,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| aInteger0(sdtasdt0(X1,sdtpldt0(X2,X3))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_53]),c_0_54]),c_0_54]) ).
cnf(c_0_57,negated_conjecture,
sdtpldt0(xb,sdtasdt0(xq,esk2_0)) = xa,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_52]),c_0_55]) ).
fof(c_0_58,plain,
! [X27] :
( ( ~ aInteger0(X27)
| smndt0(X27) = sdtasdt0(X27,smndt0(sz10)) )
& ( ~ aInteger0(X27)
| sdtasdt0(smndt0(sz10),X27) = smndt0(X27) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulMinOne])])])]) ).
cnf(c_0_59,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(smndt0(sdtpldt0(X1,X2)))
| sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2)))) = sz00 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_21]),c_0_31]) ).
cnf(c_0_60,negated_conjecture,
sdtpldt0(sdtasdt0(xq,esk2_0),xb) = xa,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_52]),c_0_55]) ).
cnf(c_0_61,negated_conjecture,
( ~ aInteger0(X1)
| aInteger0(sdtasdt0(X1,xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_41]),c_0_28])]) ).
cnf(c_0_62,plain,
( ~ aInteger0(X1)
| sdtasdt0(smndt0(sz10),X1) = smndt0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_63,negated_conjecture,
( ~ aInteger0(smndt0(xa))
| sdtpldt0(sdtasdt0(xq,esk2_0),sdtpldt0(xb,smndt0(xa))) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_28]),c_0_41])]) ).
cnf(c_0_64,negated_conjecture,
( ~ aInteger0(smndt0(xb))
| sdtpldt0(smndt0(xa),sdtasdt0(xq,esk2_0)) = sdtpldt0(sz00,smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_22]),c_0_23])]) ).
cnf(c_0_65,negated_conjecture,
( ~ aInteger0(smndt0(sz10))
| aInteger0(smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_23])]) ).
cnf(c_0_66,plain,
aInteger0(sz10),
inference(split_conjunct,[status(thm)],[mIntOne]) ).
cnf(c_0_67,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| ~ aInteger0(X3)
| sdtpldt0(X1,sdtpldt0(X2,X3)) = sdtpldt0(X3,sdtpldt0(X1,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_21]),c_0_31]) ).
cnf(c_0_68,negated_conjecture,
sdtpldt0(sdtasdt0(xq,esk2_0),sdtpldt0(xb,smndt0(xa))) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_27]),c_0_23])]) ).
cnf(c_0_69,negated_conjecture,
sdtpldt0(smndt0(xa),sdtasdt0(xq,esk2_0)) = sdtpldt0(sz00,smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_27]),c_0_28])]) ).
cnf(c_0_70,negated_conjecture,
aInteger0(smndt0(xa)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_27]),c_0_66])]) ).
cnf(c_0_71,negated_conjecture,
sdtpldt0(xb,sdtpldt0(sz00,smndt0(xb))) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_41]),c_0_28])]),c_0_70])]) ).
cnf(c_0_72,plain,
( ~ aInteger0(X1)
| X1 = sdtpldt0(sz00,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_73,negated_conjecture,
( ~ aInteger0(smndt0(xb))
| sdtpldt0(sz00,sdtpldt0(smndt0(xb),xb)) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_71]),c_0_28]),c_0_34])]) ).
cnf(c_0_74,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(sz00,sdtpldt0(X1,X2)) = sdtpldt0(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_72]),c_0_34])]) ).
cnf(c_0_75,negated_conjecture,
sdtpldt0(sz00,sdtpldt0(smndt0(xb),xb)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_27]),c_0_28])]) ).
cnf(c_0_76,negated_conjecture,
( ~ aInteger0(smndt0(xb))
| sdtpldt0(smndt0(xb),xb) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_28])]) ).
cnf(c_0_77,negated_conjecture,
sdtpldt0(smndt0(xb),xb) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_27]),c_0_28])]) ).
cnf(c_0_78,negated_conjecture,
sdtpldt0(xb,sz00) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_77]),c_0_28])]) ).
cnf(c_0_79,plain,
( ~ aInteger0(smndt0(sz00))
| smndt0(sz00) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_36]),c_0_34])]) ).
cnf(c_0_80,plain,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(X1,sdtpldt0(sz00,X2)) = sdtpldt0(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_33]),c_0_34])]) ).
cnf(c_0_81,negated_conjecture,
sdtpldt0(sz00,xb) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_78]),c_0_28])]) ).
cnf(c_0_82,plain,
smndt0(sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_27]),c_0_34])]) ).
cnf(c_0_83,negated_conjecture,
( ~ aInteger0(smndt0(xb))
| sdtpldt0(sdtasdt0(xq,esk2_0),smndt0(smndt0(xb))) = sdtpldt0(xa,sz00) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_46]),c_0_27]) ).
cnf(c_0_84,negated_conjecture,
( ~ aInteger0(smndt0(xb))
| sdtpldt0(xb,smndt0(xb)) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_71]),c_0_28])]) ).
cnf(c_0_85,negated_conjecture,
( ~ aInteger0(X1)
| aInteger0(sdtasdt0(X1,xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_81]),c_0_28]),c_0_34])]) ).
cnf(c_0_86,negated_conjecture,
sdtpldt0(xa,sz00) = xa,
inference(rw,[status(thm)],[c_0_52,c_0_55]) ).
cnf(c_0_87,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_82]),c_0_34])]) ).
cnf(c_0_88,negated_conjecture,
sdtpldt0(sdtasdt0(xq,esk2_0),smndt0(smndt0(xb))) = sdtpldt0(xa,sz00),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_27]),c_0_28])]) ).
cnf(c_0_89,negated_conjecture,
sdtpldt0(xb,smndt0(xb)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_27]),c_0_28])]) ).
cnf(c_0_90,negated_conjecture,
( ~ aInteger0(smndt0(sz10))
| aInteger0(smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_62]),c_0_28])]) ).
cnf(c_0_91,negated_conjecture,
sdtpldt0(smndt0(xa),xa) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_86]),c_0_87]),c_0_34]),c_0_23])]) ).
cnf(c_0_92,negated_conjecture,
sdtpldt0(sdtasdt0(xq,esk2_0),smndt0(smndt0(xb))) = xa,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_52]),c_0_55]) ).
cnf(c_0_93,negated_conjecture,
sdtpldt0(smndt0(sdtasdt0(xq,esk2_0)),xa) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_60]),c_0_28]),c_0_41])]) ).
cnf(c_0_94,negated_conjecture,
( ~ aInteger0(smndt0(xb))
| sdtpldt0(smndt0(xb),sz00) = sdtpldt0(sz00,smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_89]),c_0_28])]) ).
cnf(c_0_95,negated_conjecture,
aInteger0(smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_27]),c_0_66])]) ).
cnf(c_0_96,negated_conjecture,
( ~ aInteger0(smndt0(xa))
| sdtpldt0(xa,smndt0(xa)) = sz00 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_91]),c_0_23])]) ).
cnf(c_0_97,negated_conjecture,
( ~ aInteger0(smndt0(smndt0(xb)))
| sdtpldt0(sz00,smndt0(smndt0(xb))) = sdtpldt0(sz00,xb) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_92]),c_0_41])]),c_0_93]) ).
cnf(c_0_98,negated_conjecture,
( ~ aInteger0(smndt0(xa))
| sdtpldt0(sdtasdt0(xq,esk2_0),smndt0(xa)) = sdtpldt0(sz00,smndt0(xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_69]),c_0_41])]) ).
cnf(c_0_99,negated_conjecture,
sdtpldt0(smndt0(xb),sz00) = sdtpldt0(sz00,smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95])]) ).
cnf(c_0_100,negated_conjecture,
sdtpldt0(xa,smndt0(xa)) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_27]),c_0_23])]) ).
cnf(c_0_101,negated_conjecture,
( ~ aInteger0(smndt0(xb))
| sdtpldt0(sz00,smndt0(smndt0(xb))) = sdtpldt0(sz00,xb) ),
inference(spm,[status(thm)],[c_0_97,c_0_27]) ).
cnf(c_0_102,negated_conjecture,
sdtpldt0(sdtasdt0(xq,esk2_0),smndt0(xa)) = sdtpldt0(sz00,smndt0(xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_27]),c_0_23])]) ).
cnf(c_0_103,negated_conjecture,
sdtpldt0(sz00,smndt0(xb)) = smndt0(xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_99]),c_0_95])]) ).
cnf(c_0_104,negated_conjecture,
sdtpldt0(smndt0(xa),sz00) = sdtpldt0(sz00,smndt0(xa)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_100]),c_0_23])]),c_0_70])]) ).
cnf(c_0_105,negated_conjecture,
( ~ aInteger0(smndt0(xb))
| sdtpldt0(sz00,smndt0(smndt0(xb))) = xb ),
inference(rw,[status(thm)],[c_0_101,c_0_81]) ).
cnf(c_0_106,negated_conjecture,
sdtpldt0(sdtasdt0(xq,esk2_0),smndt0(xa)) = smndt0(xb),
inference(rw,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_107,negated_conjecture,
sdtpldt0(sz00,smndt0(xa)) = smndt0(xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_104]),c_0_70])]) ).
cnf(c_0_108,negated_conjecture,
sdtpldt0(sz00,smndt0(smndt0(xb))) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_27]),c_0_28])]) ).
cnf(c_0_109,negated_conjecture,
( ~ aInteger0(smndt0(sdtasdt0(xq,esk2_0)))
| sdtpldt0(xa,smndt0(sdtasdt0(xq,esk2_0))) = sdtpldt0(sz00,xb) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_93]),c_0_23])]) ).
cnf(c_0_110,negated_conjecture,
sdtpldt0(smndt0(sdtasdt0(xq,esk2_0)),smndt0(xb)) = smndt0(xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_106]),c_0_107]),c_0_70]),c_0_41])]) ).
cnf(c_0_111,negated_conjecture,
( ~ aInteger0(smndt0(smndt0(xb)))
| smndt0(smndt0(xb)) = xb ),
inference(spm,[status(thm)],[c_0_72,c_0_108]) ).
cnf(c_0_112,negated_conjecture,
sdtpldt0(xa,smndt0(sdtasdt0(xq,esk2_0))) = sdtpldt0(sz00,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_27]),c_0_41])]) ).
cnf(c_0_113,negated_conjecture,
( ~ aInteger0(smndt0(sdtasdt0(xq,esk2_0)))
| sdtpldt0(smndt0(xb),smndt0(sdtasdt0(xq,esk2_0))) = smndt0(xa) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_110]),c_0_95])]) ).
cnf(c_0_114,negated_conjecture,
( ~ aInteger0(smndt0(xb))
| smndt0(smndt0(xb)) = xb ),
inference(spm,[status(thm)],[c_0_111,c_0_27]) ).
cnf(c_0_115,negated_conjecture,
sdtpldt0(xa,smndt0(sdtasdt0(xq,esk2_0))) = xb,
inference(rw,[status(thm)],[c_0_112,c_0_81]) ).
fof(c_0_116,plain,
! [X20,X21] :
( sdtasdt0(X20,X21) = sdtasdt0(X21,X20)
| ~ aInteger0(X21)
| ~ aInteger0(X20) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulComm])])]) ).
cnf(c_0_117,negated_conjecture,
sdtpldt0(smndt0(xb),smndt0(sdtasdt0(xq,esk2_0))) = smndt0(xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_27]),c_0_41])]) ).
cnf(c_0_118,negated_conjecture,
smndt0(smndt0(xb)) = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_27]),c_0_28])]) ).
cnf(c_0_119,negated_conjecture,
( ~ aInteger0(smndt0(sdtasdt0(xq,esk2_0)))
| sdtpldt0(sz00,smndt0(sdtasdt0(xq,esk2_0))) = sdtpldt0(smndt0(xa),xb) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_115]),c_0_23])]) ).
cnf(c_0_120,negated_conjecture,
( sdtasdt0(xq,X1) != sdtpldt0(xb,smndt0(xa))
| ~ aInteger0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_121,plain,
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_122,hypothesis,
aInteger0(xq),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_123,plain,
! [X17,X18,X19] :
( sdtasdt0(X17,sdtasdt0(X18,X19)) = sdtasdt0(sdtasdt0(X17,X18),X19)
| ~ aInteger0(X19)
| ~ aInteger0(X18)
| ~ aInteger0(X17) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mMulAsso])])]) ).
fof(c_0_124,plain,
! [X1] :
( aInteger0(X1)
=> ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( ? [X3] :
( sdtasdt0(X2,X3) = X1
& aInteger0(X3) )
& X2 != sz00
& aInteger0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[mDivisor]) ).
cnf(c_0_125,negated_conjecture,
( ~ aInteger0(smndt0(sdtasdt0(xq,esk2_0)))
| sdtpldt0(sz00,smndt0(sdtasdt0(xq,esk2_0))) = sdtpldt0(xb,smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_117]),c_0_118]),c_0_95])]) ).
cnf(c_0_126,negated_conjecture,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,esk2_0))) = sdtpldt0(smndt0(xa),xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_27]),c_0_41])]) ).
cnf(c_0_127,negated_conjecture,
( ~ aInteger0(X1)
| sdtasdt0(X1,xq) != sdtpldt0(xb,smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122])]) ).
cnf(c_0_128,plain,
( ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(X2,X3)) = sdtasdt0(sdtasdt0(X1,X2),X3) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
fof(c_0_129,plain,
! [X30,X31,X33,X34] :
( ( ~ aInteger0(X30)
| aDivisorOf0(X33,X30)
| sdtasdt0(X33,X34) != X30
| ~ aInteger0(X34)
| X33 = sz00
| ~ aInteger0(X33) )
& ( ~ aInteger0(X30)
| ~ aDivisorOf0(X31,X30)
| sdtasdt0(X31,esk1_2(X30,X31)) = X30 )
& ( ~ aInteger0(X30)
| ~ aDivisorOf0(X31,X30)
| aInteger0(esk1_2(X30,X31)) )
& ( ~ aInteger0(X30)
| ~ aDivisorOf0(X31,X30)
| X31 != sz00 )
& ( ~ aInteger0(X30)
| ~ aDivisorOf0(X31,X30)
| aInteger0(X31) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_124])])])])])])]) ).
cnf(c_0_130,negated_conjecture,
aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_131,negated_conjecture,
( ~ aInteger0(smndt0(sdtasdt0(xq,esk2_0)))
| sdtpldt0(smndt0(xa),xb) = sdtpldt0(xb,smndt0(xa)) ),
inference(rw,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_132,negated_conjecture,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtasdt0(X1,sdtasdt0(X2,xq)) != sdtpldt0(xb,smndt0(xa)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_122])]),c_0_54]) ).
cnf(c_0_133,plain,
( ~ aInteger0(X2)
| ~ aDivisorOf0(X1,X2)
| sdtasdt0(X1,esk1_2(X2,X1)) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_134,negated_conjecture,
aDivisorOf0(xq,sdtasdt0(xq,esk2_0)),
inference(rw,[status(thm)],[c_0_130,c_0_22]) ).
cnf(c_0_135,plain,
( ~ aInteger0(X1)
| ~ aDivisorOf0(X2,X1)
| aInteger0(esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_136,negated_conjecture,
sdtpldt0(smndt0(xa),xb) = sdtpldt0(xb,smndt0(xa)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_27]),c_0_41])]) ).
cnf(c_0_137,negated_conjecture,
( ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtasdt0(X1,sdtasdt0(xq,X2)) != sdtpldt0(xb,smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_121]),c_0_122])]) ).
cnf(c_0_138,negated_conjecture,
sdtasdt0(xq,esk1_2(sdtasdt0(xq,esk2_0),xq)) = sdtasdt0(xq,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_41])]) ).
cnf(c_0_139,negated_conjecture,
aInteger0(esk1_2(sdtasdt0(xq,esk2_0),xq)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_134]),c_0_41])]) ).
cnf(c_0_140,negated_conjecture,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,esk2_0))) = sdtpldt0(xb,smndt0(xa)),
inference(rw,[status(thm)],[c_0_126,c_0_136]) ).
cnf(c_0_141,negated_conjecture,
( ~ aInteger0(X1)
| sdtasdt0(X1,sdtasdt0(xq,esk2_0)) != sdtpldt0(xb,smndt0(xa)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139])]) ).
cnf(c_0_142,negated_conjecture,
( ~ aInteger0(smndt0(sdtasdt0(xq,esk2_0)))
| sdtpldt0(xb,smndt0(xa)) = smndt0(sdtasdt0(xq,esk2_0)) ),
inference(spm,[status(thm)],[c_0_72,c_0_140]) ).
cnf(c_0_143,negated_conjecture,
( ~ aInteger0(smndt0(sz10))
| sdtpldt0(xb,smndt0(xa)) != smndt0(sdtasdt0(xq,esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_62]),c_0_41])]) ).
cnf(c_0_144,negated_conjecture,
sdtpldt0(xb,smndt0(xa)) = smndt0(sdtasdt0(xq,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_27]),c_0_41])]) ).
cnf(c_0_145,negated_conjecture,
~ aInteger0(smndt0(sz10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_144])]) ).
cnf(c_0_146,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_27]),c_0_66])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM424+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n016.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 02:32:52 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.49/1.26 % Version: 3.5.1
% 5.49/1.26 % Preprocessing class: FSMSSMSSSSSNFFN.
% 5.49/1.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.49/1.26 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.49/1.26 % Starting new_bool_3 with 300s (1) cores
% 5.49/1.26 % Starting new_bool_1 with 300s (1) cores
% 5.49/1.26 % Starting sh5l with 300s (1) cores
% 5.49/1.26 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1366317 completed with status 0
% 5.49/1.26 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 5.49/1.26 % Preprocessing class: FSMSSMSSSSSNFFN.
% 5.49/1.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.49/1.26 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.49/1.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.49/1.26 % No SInE strategy applied
% 5.49/1.26 % Search class: FGHSF-FFMM21-SFFFFFNN
% 5.49/1.26 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 5.49/1.26 % Starting SubtermCWHack with 136s (1) cores
% 5.49/1.26 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 5.49/1.26 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 5.49/1.26 % Starting G-E--_208_C18_F1_AE_CS_SP_PS_S3S with 136s (1) cores
% 5.49/1.26 % Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_RG_S2S with 136s (1) cores
% 5.49/1.26 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with pid 1366324 completed with status 0
% 5.49/1.26 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 5.49/1.26 % Preprocessing class: FSMSSMSSSSSNFFN.
% 5.49/1.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.49/1.26 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 5.49/1.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.49/1.26 % No SInE strategy applied
% 5.49/1.26 % Search class: FGHSF-FFMM21-SFFFFFNN
% 5.49/1.26 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 5.49/1.26 % Starting SubtermCWHack with 136s (1) cores
% 5.49/1.26 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 5.49/1.26 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2m with 136s (1) cores
% 5.49/1.26 % Preprocessing time : 0.002 s
% 5.49/1.26 % Presaturation interreduction done
% 5.49/1.26
% 5.49/1.26 % Proof found!
% 5.49/1.26 % SZS status Theorem
% 5.49/1.26 % SZS output start CNFRefutation
% See solution above
% 5.49/1.26 % Parsed axioms : 22
% 5.49/1.26 % Removed by relevancy pruning/SinE : 0
% 5.49/1.26 % Initial clauses : 42
% 5.49/1.26 % Removed in clause preprocessing : 1
% 5.49/1.26 % Initial clauses in saturation : 41
% 5.49/1.26 % Processed clauses : 2637
% 5.49/1.26 % ...of these trivial : 163
% 5.49/1.26 % ...subsumed : 1378
% 5.49/1.26 % ...remaining for further processing : 1096
% 5.49/1.26 % Other redundant clauses eliminated : 3
% 5.49/1.26 % Clauses deleted for lack of memory : 0
% 5.49/1.26 % Backward-subsumed : 48
% 5.49/1.26 % Backward-rewritten : 511
% 5.49/1.26 % Generated clauses : 20667
% 5.49/1.26 % ...of the previous two non-redundant : 18578
% 5.49/1.26 % ...aggressively subsumed : 0
% 5.49/1.26 % Contextual simplify-reflections : 93
% 5.49/1.26 % Paramodulations : 20664
% 5.49/1.26 % Factorizations : 0
% 5.49/1.26 % NegExts : 0
% 5.49/1.26 % Equation resolutions : 3
% 5.49/1.26 % Disequality decompositions : 0
% 5.49/1.26 % Total rewrite steps : 29509
% 5.49/1.26 % ...of those cached : 29227
% 5.49/1.26 % Propositional unsat checks : 0
% 5.49/1.26 % Propositional check models : 0
% 5.49/1.26 % Propositional check unsatisfiable : 0
% 5.49/1.26 % Propositional clauses : 0
% 5.49/1.26 % Propositional clauses after purity: 0
% 5.49/1.26 % Propositional unsat core size : 0
% 5.49/1.26 % Propositional preprocessing time : 0.000
% 5.49/1.26 % Propositional encoding time : 0.000
% 5.49/1.26 % Propositional solver time : 0.000
% 5.49/1.26 % Success case prop preproc time : 0.000
% 5.49/1.26 % Success case prop encoding time : 0.000
% 5.49/1.26 % Success case prop solver time : 0.000
% 5.49/1.26 % Current number of processed clauses : 494
% 5.49/1.26 % Positive orientable unit clauses : 253
% 5.49/1.26 % Positive unorientable unit clauses: 0
% 5.49/1.26 % Negative unit clauses : 5
% 5.49/1.26 % Non-unit-clauses : 236
% 5.49/1.26 % Current number of unprocessed clauses: 15788
% 5.49/1.26 % ...number of literals in the above : 63845
% 5.49/1.26 % Current number of archived formulas : 0
% 5.49/1.26 % Current number of archived clauses : 600
% 5.49/1.26 % Clause-clause subsumption calls (NU) : 38205
% 5.49/1.26 % Rec. Clause-clause subsumption calls : 17996
% 5.49/1.26 % Non-unit clause-clause subsumptions : 1126
% 5.49/1.26 % Unit Clause-clause subsumption calls : 2134
% 5.49/1.26 % Rewrite failures with RHS unbound : 0
% 5.49/1.26 % BW rewrite match attempts : 764
% 5.49/1.26 % BW rewrite match successes : 152
% 5.49/1.26 % Condensation attempts : 0
% 5.49/1.26 % Condensation successes : 0
% 5.49/1.26 % Termbank termtop insertions : 418222
% 5.49/1.26 % Search garbage collected termcells : 498
% 5.49/1.26
% 5.49/1.26 % -------------------------------------------------
% 5.49/1.26 % User time : 0.670 s
% 5.49/1.26 % System time : 0.030 s
% 5.49/1.26 % Total time : 0.700 s
% 5.49/1.26 % Maximum resident set size: 3656 pages
% 5.49/1.26
% 5.49/1.26 % -------------------------------------------------
% 5.49/1.26 % User time : 3.229 s
% 5.49/1.26 % System time : 0.161 s
% 5.49/1.26 % Total time : 3.390 s
% 5.49/1.26 % Maximum resident set size: 4864 pages
% 5.49/1.26 % E exiting
%------------------------------------------------------------------------------