TSTP Solution File: COM019+1 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : COM019+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 19:08:18 EDT 2024
% Result : Theorem 1.33s 0.62s
% Output : CNFRefutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 66 ( 27 unt; 0 def)
% Number of atoms : 298 ( 6 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 399 ( 167 ~; 173 |; 43 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 102 ( 2 sgn 47 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mTCDef,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3) )
=> ( sdtmndtplgtdt0(X1,X2,X3)
<=> ( aReductOfIn0(X3,X1,X2)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,X2)
& sdtmndtplgtdt0(X4,X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCDef) ).
fof(mReduct,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aReductOfIn0(X3,X1,X2)
=> aElement0(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mReduct) ).
fof(mTermin,axiom,
! [X1] :
( aRewritingSystem0(X1)
=> ( isTerminating0(X1)
<=> ! [X2,X3] :
( ( aElement0(X2)
& aElement0(X3) )
=> ( sdtmndtplgtdt0(X2,X1,X3)
=> iLess0(X3,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTermin) ).
fof(m__755,hypothesis,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& sdtmndtasgtdt0(xu,xR,xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__755) ).
fof(m__656,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656) ).
fof(m__731,hypothesis,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731) ).
fof(mNFRDef,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aNormalFormOfIn0(X3,X1,X2)
<=> ( aElement0(X3)
& sdtmndtasgtdt0(X1,X2,X3)
& ~ ? [X4] : aReductOfIn0(X4,X3,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNFRDef) ).
fof(m__715,hypothesis,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3)
& sdtmndtasgtdt0(X1,xR,X2)
& sdtmndtasgtdt0(X1,xR,X3) )
=> ( iLess0(X1,xa)
=> ? [X4] :
( aElement0(X4)
& sdtmndtasgtdt0(X2,xR,X4)
& sdtmndtasgtdt0(X3,xR,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__715) ).
fof(m__656_01,hypothesis,
( isLocallyConfluent0(xR)
& isTerminating0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656_01) ).
fof(mTCRTrans,axiom,
! [X1,X2,X3,X4] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3)
& aElement0(X4) )
=> ( ( sdtmndtasgtdt0(X1,X2,X3)
& sdtmndtasgtdt0(X3,X2,X4) )
=> sdtmndtasgtdt0(X1,X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRTrans) ).
fof(m__818,hypothesis,
aNormalFormOfIn0(xd,xw,xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__818) ).
fof(m__799,hypothesis,
( aElement0(xw)
& sdtmndtasgtdt0(xu,xR,xw)
& sdtmndtasgtdt0(xv,xR,xw) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__799) ).
fof(mTCRDef,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3) )
=> ( sdtmndtasgtdt0(X1,X2,X3)
<=> ( X1 = X3
| sdtmndtplgtdt0(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRDef) ).
fof(m__,conjecture,
sdtmndtasgtdt0(xb,xR,xd),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(c_0_14,plain,
! [X16,X17,X18,X20] :
( ( aElement0(esk1_3(X16,X17,X18))
| aReductOfIn0(X18,X16,X17)
| ~ sdtmndtplgtdt0(X16,X17,X18)
| ~ aElement0(X16)
| ~ aRewritingSystem0(X17)
| ~ aElement0(X18) )
& ( aReductOfIn0(esk1_3(X16,X17,X18),X16,X17)
| aReductOfIn0(X18,X16,X17)
| ~ sdtmndtplgtdt0(X16,X17,X18)
| ~ aElement0(X16)
| ~ aRewritingSystem0(X17)
| ~ aElement0(X18) )
& ( sdtmndtplgtdt0(esk1_3(X16,X17,X18),X17,X18)
| aReductOfIn0(X18,X16,X17)
| ~ sdtmndtplgtdt0(X16,X17,X18)
| ~ aElement0(X16)
| ~ aRewritingSystem0(X17)
| ~ aElement0(X18) )
& ( ~ aReductOfIn0(X18,X16,X17)
| sdtmndtplgtdt0(X16,X17,X18)
| ~ aElement0(X16)
| ~ aRewritingSystem0(X17)
| ~ aElement0(X18) )
& ( ~ aElement0(X20)
| ~ aReductOfIn0(X20,X16,X17)
| ~ sdtmndtplgtdt0(X20,X17,X18)
| sdtmndtplgtdt0(X16,X17,X18)
| ~ aElement0(X16)
| ~ aRewritingSystem0(X17)
| ~ aElement0(X18) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTCDef])])])])])]) ).
fof(c_0_15,plain,
! [X8,X9,X10] :
( ~ aElement0(X8)
| ~ aRewritingSystem0(X9)
| ~ aReductOfIn0(X10,X8,X9)
| aElement0(X10) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mReduct])])])]) ).
cnf(c_0_16,plain,
( sdtmndtplgtdt0(X2,X3,X1)
| ~ aReductOfIn0(X1,X2,X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
( aElement0(X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aReductOfIn0(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_18,plain,
! [X50,X51,X52] :
( ( ~ isTerminating0(X50)
| ~ aElement0(X51)
| ~ aElement0(X52)
| ~ sdtmndtplgtdt0(X51,X50,X52)
| iLess0(X52,X51)
| ~ aRewritingSystem0(X50) )
& ( aElement0(esk10_1(X50))
| isTerminating0(X50)
| ~ aRewritingSystem0(X50) )
& ( aElement0(esk11_1(X50))
| isTerminating0(X50)
| ~ aRewritingSystem0(X50) )
& ( sdtmndtplgtdt0(esk10_1(X50),X50,esk11_1(X50))
| isTerminating0(X50)
| ~ aRewritingSystem0(X50) )
& ( ~ iLess0(esk11_1(X50),esk10_1(X50))
| isTerminating0(X50)
| ~ aRewritingSystem0(X50) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTermin])])])])])]) ).
cnf(c_0_19,plain,
( sdtmndtplgtdt0(X1,X2,X3)
| ~ aReductOfIn0(X3,X1,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,hypothesis,
aReductOfIn0(xu,xa,xR),
inference(split_conjunct,[status(thm)],[m__755]) ).
cnf(c_0_21,hypothesis,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[m__656]) ).
cnf(c_0_22,hypothesis,
aElement0(xa),
inference(split_conjunct,[status(thm)],[m__731]) ).
fof(c_0_23,plain,
! [X55,X56,X57,X58,X59] :
( ( aElement0(X57)
| ~ aNormalFormOfIn0(X57,X55,X56)
| ~ aElement0(X55)
| ~ aRewritingSystem0(X56) )
& ( sdtmndtasgtdt0(X55,X56,X57)
| ~ aNormalFormOfIn0(X57,X55,X56)
| ~ aElement0(X55)
| ~ aRewritingSystem0(X56) )
& ( ~ aReductOfIn0(X58,X57,X56)
| ~ aNormalFormOfIn0(X57,X55,X56)
| ~ aElement0(X55)
| ~ aRewritingSystem0(X56) )
& ( ~ aElement0(X59)
| ~ sdtmndtasgtdt0(X55,X56,X59)
| aReductOfIn0(esk12_3(X55,X56,X59),X59,X56)
| aNormalFormOfIn0(X59,X55,X56)
| ~ aElement0(X55)
| ~ aRewritingSystem0(X56) ) ),
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)],[mNFRDef])])])])])])]) ).
fof(c_0_24,hypothesis,
! [X64,X65,X66] :
( ( aElement0(esk14_3(X64,X65,X66))
| ~ iLess0(X64,xa)
| ~ aElement0(X64)
| ~ aElement0(X65)
| ~ aElement0(X66)
| ~ sdtmndtasgtdt0(X64,xR,X65)
| ~ sdtmndtasgtdt0(X64,xR,X66) )
& ( sdtmndtasgtdt0(X65,xR,esk14_3(X64,X65,X66))
| ~ iLess0(X64,xa)
| ~ aElement0(X64)
| ~ aElement0(X65)
| ~ aElement0(X66)
| ~ sdtmndtasgtdt0(X64,xR,X65)
| ~ sdtmndtasgtdt0(X64,xR,X66) )
& ( sdtmndtasgtdt0(X66,xR,esk14_3(X64,X65,X66))
| ~ iLess0(X64,xa)
| ~ aElement0(X64)
| ~ aElement0(X65)
| ~ aElement0(X66)
| ~ sdtmndtasgtdt0(X64,xR,X65)
| ~ sdtmndtasgtdt0(X64,xR,X66) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__715])])])])]) ).
cnf(c_0_25,plain,
( iLess0(X3,X2)
| ~ isTerminating0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X2,X1,X3)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,hypothesis,
sdtmndtplgtdt0(xa,xR,xu),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_27,hypothesis,
isTerminating0(xR),
inference(split_conjunct,[status(thm)],[m__656_01]) ).
cnf(c_0_28,hypothesis,
aElement0(xu),
inference(split_conjunct,[status(thm)],[m__755]) ).
fof(c_0_29,plain,
! [X28,X29,X30,X31] :
( ~ aElement0(X28)
| ~ aRewritingSystem0(X29)
| ~ aElement0(X30)
| ~ aElement0(X31)
| ~ sdtmndtasgtdt0(X28,X29,X30)
| ~ sdtmndtasgtdt0(X30,X29,X31)
| sdtmndtasgtdt0(X28,X29,X31) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTCRTrans])])]) ).
cnf(c_0_30,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ aNormalFormOfIn0(X3,X1,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,hypothesis,
aNormalFormOfIn0(xd,xw,xR),
inference(split_conjunct,[status(thm)],[m__818]) ).
cnf(c_0_32,hypothesis,
aElement0(xw),
inference(split_conjunct,[status(thm)],[m__799]) ).
cnf(c_0_33,plain,
( aElement0(X1)
| ~ aNormalFormOfIn0(X1,X2,X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_34,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk14_3(X2,X1,X3))
| ~ iLess0(X2,xa)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X2,xR,X1)
| ~ sdtmndtasgtdt0(X2,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,hypothesis,
iLess0(xu,xa),
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_25,c_0_26]),c_0_27]),c_0_21]),c_0_28]),c_0_22])]) ).
cnf(c_0_36,plain,
( sdtmndtasgtdt0(X1,X2,X4)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ sdtmndtasgtdt0(X1,X2,X3)
| ~ sdtmndtasgtdt0(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,hypothesis,
sdtmndtasgtdt0(xw,xR,xd),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_21]),c_0_32])]) ).
cnf(c_0_38,hypothesis,
aElement0(xd),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_31]),c_0_21]),c_0_32])]) ).
cnf(c_0_39,hypothesis,
( aElement0(esk14_3(X1,X2,X3))
| ~ iLess0(X1,xa)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ sdtmndtasgtdt0(X1,xR,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_40,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk14_3(xu,X1,X2))
| ~ sdtmndtasgtdt0(xu,xR,X2)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_28])]) ).
cnf(c_0_41,hypothesis,
sdtmndtasgtdt0(xu,xR,xb),
inference(split_conjunct,[status(thm)],[m__755]) ).
cnf(c_0_42,hypothesis,
aElement0(xb),
inference(split_conjunct,[status(thm)],[m__731]) ).
cnf(c_0_43,hypothesis,
( sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xw)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_21]),c_0_38]),c_0_32])]) ).
cnf(c_0_44,hypothesis,
sdtmndtasgtdt0(xu,xR,xw),
inference(split_conjunct,[status(thm)],[m__799]) ).
cnf(c_0_45,hypothesis,
( aElement0(esk14_3(xu,X1,X2))
| ~ sdtmndtasgtdt0(xu,xR,X2)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_35]),c_0_28])]) ).
cnf(c_0_46,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk14_3(X2,X3,X1))
| ~ iLess0(X2,xa)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X2,xR,X3)
| ~ sdtmndtasgtdt0(X2,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_47,plain,
! [X25,X26,X27] :
( ( ~ sdtmndtasgtdt0(X25,X26,X27)
| X25 = X27
| sdtmndtplgtdt0(X25,X26,X27)
| ~ aElement0(X25)
| ~ aRewritingSystem0(X26)
| ~ aElement0(X27) )
& ( X25 != X27
| sdtmndtasgtdt0(X25,X26,X27)
| ~ aElement0(X25)
| ~ aRewritingSystem0(X26)
| ~ aElement0(X27) )
& ( ~ sdtmndtplgtdt0(X25,X26,X27)
| sdtmndtasgtdt0(X25,X26,X27)
| ~ aElement0(X25)
| ~ aRewritingSystem0(X26)
| ~ aElement0(X27) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTCRDef])])])]) ).
cnf(c_0_48,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk14_3(xu,X1,xb))
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).
cnf(c_0_49,hypothesis,
sdtmndtasgtdt0(xu,xR,xd),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_28])]) ).
cnf(c_0_50,hypothesis,
( aElement0(esk14_3(xu,X1,xb))
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_41]),c_0_42])]) ).
cnf(c_0_51,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk14_3(xu,X2,X1))
| ~ sdtmndtasgtdt0(xu,xR,X2)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_35]),c_0_28])]) ).
cnf(c_0_52,plain,
( X1 = X3
| sdtmndtplgtdt0(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,hypothesis,
sdtmndtasgtdt0(xd,xR,esk14_3(xu,xd,xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_38])]) ).
cnf(c_0_54,hypothesis,
aElement0(esk14_3(xu,xd,xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_49]),c_0_38])]) ).
cnf(c_0_55,plain,
( ~ aReductOfIn0(X1,X2,X3)
| ~ aNormalFormOfIn0(X2,X4,X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_56,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).
cnf(c_0_57,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk14_3(xu,xd,X1))
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_49]),c_0_38])]) ).
cnf(c_0_58,plain,
( aReductOfIn0(esk1_3(X1,X2,X3),X1,X2)
| aReductOfIn0(X3,X1,X2)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_59,hypothesis,
( esk14_3(xu,xd,xb) = xd
| sdtmndtplgtdt0(xd,xR,esk14_3(xu,xd,xb)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_21]),c_0_54]),c_0_38])]) ).
cnf(c_0_60,hypothesis,
~ aReductOfIn0(X1,xd,xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_31]),c_0_21]),c_0_32])]) ).
fof(c_0_61,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(fof_nnf,[status(thm)],[c_0_56]) ).
cnf(c_0_62,hypothesis,
sdtmndtasgtdt0(xb,xR,esk14_3(xu,xd,xb)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_41]),c_0_42])]) ).
cnf(c_0_63,hypothesis,
esk14_3(xu,xd,xb) = xd,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_21]),c_0_54]),c_0_38])]),c_0_60]),c_0_60]) ).
cnf(c_0_64,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_65,hypothesis,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63]),c_0_64]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : COM019+1 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n021.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 10:36:23 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.44 Running first-order model finding
% 0.19/0.44 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
% 1.33/0.62 # Version: 3.1.0
% 1.33/0.62 # Preprocessing class: FSMSSMSMSSSNFFN.
% 1.33/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.33/0.62 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.33/0.62 # Starting new_bool_3 with 300s (1) cores
% 1.33/0.62 # Starting new_bool_1 with 300s (1) cores
% 1.33/0.62 # Starting sh5l with 300s (1) cores
% 1.33/0.62 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 25982 completed with status 0
% 1.33/0.62 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 1.33/0.62 # Preprocessing class: FSMSSMSMSSSNFFN.
% 1.33/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.33/0.62 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.33/0.62 # No SInE strategy applied
% 1.33/0.62 # Search class: FGHSF-FFMM31-SFFFFFNN
% 1.33/0.62 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.33/0.62 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 811s (1) cores
% 1.33/0.62 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 1.33/0.62 # Starting new_bool_3 with 136s (1) cores
% 1.33/0.62 # Starting new_bool_1 with 136s (1) cores
% 1.33/0.62 # Starting U----_212g_01_C10_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 1.33/0.62 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 25990 completed with status 0
% 1.33/0.62 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 1.33/0.62 # Preprocessing class: FSMSSMSMSSSNFFN.
% 1.33/0.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.33/0.62 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.33/0.62 # No SInE strategy applied
% 1.33/0.62 # Search class: FGHSF-FFMM31-SFFFFFNN
% 1.33/0.62 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.33/0.62 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 811s (1) cores
% 1.33/0.62 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 1.33/0.62 # Preprocessing time : 0.002 s
% 1.33/0.62 # Presaturation interreduction done
% 1.33/0.62
% 1.33/0.62 # Proof found!
% 1.33/0.62 # SZS status Theorem
% 1.33/0.62 # SZS output start CNFRefutation
% See solution above
% 1.33/0.62 # Parsed axioms : 24
% 1.33/0.62 # Removed by relevancy pruning/SinE : 0
% 1.33/0.62 # Initial clauses : 65
% 1.33/0.62 # Removed in clause preprocessing : 4
% 1.33/0.62 # Initial clauses in saturation : 61
% 1.33/0.62 # Processed clauses : 1063
% 1.33/0.62 # ...of these trivial : 6
% 1.33/0.62 # ...subsumed : 90
% 1.33/0.62 # ...remaining for further processing : 967
% 1.33/0.62 # Other redundant clauses eliminated : 1
% 1.33/0.62 # Clauses deleted for lack of memory : 0
% 1.33/0.62 # Backward-subsumed : 46
% 1.33/0.62 # Backward-rewritten : 52
% 1.33/0.62 # Generated clauses : 5329
% 1.33/0.62 # ...of the previous two non-redundant : 5156
% 1.33/0.62 # ...aggressively subsumed : 0
% 1.33/0.62 # Contextual simplify-reflections : 96
% 1.33/0.62 # Paramodulations : 5328
% 1.33/0.62 # Factorizations : 0
% 1.33/0.62 # NegExts : 0
% 1.33/0.62 # Equation resolutions : 1
% 1.33/0.62 # Disequality decompositions : 0
% 1.33/0.62 # Total rewrite steps : 7868
% 1.33/0.62 # ...of those cached : 7769
% 1.33/0.62 # Propositional unsat checks : 0
% 1.33/0.62 # Propositional check models : 0
% 1.33/0.62 # Propositional check unsatisfiable : 0
% 1.33/0.62 # Propositional clauses : 0
% 1.33/0.62 # Propositional clauses after purity: 0
% 1.33/0.62 # Propositional unsat core size : 0
% 1.33/0.62 # Propositional preprocessing time : 0.000
% 1.33/0.62 # Propositional encoding time : 0.000
% 1.33/0.62 # Propositional solver time : 0.000
% 1.33/0.62 # Success case prop preproc time : 0.000
% 1.33/0.62 # Success case prop encoding time : 0.000
% 1.33/0.62 # Success case prop solver time : 0.000
% 1.33/0.62 # Current number of processed clauses : 807
% 1.33/0.62 # Positive orientable unit clauses : 124
% 1.33/0.62 # Positive unorientable unit clauses: 0
% 1.33/0.62 # Negative unit clauses : 2
% 1.33/0.62 # Non-unit-clauses : 681
% 1.33/0.62 # Current number of unprocessed clauses: 4183
% 1.33/0.62 # ...number of literals in the above : 17020
% 1.33/0.62 # Current number of archived formulas : 0
% 1.33/0.62 # Current number of archived clauses : 159
% 1.33/0.62 # Clause-clause subsumption calls (NU) : 80719
% 1.33/0.62 # Rec. Clause-clause subsumption calls : 45844
% 1.33/0.62 # Non-unit clause-clause subsumptions : 228
% 1.33/0.62 # Unit Clause-clause subsumption calls : 14415
% 1.33/0.62 # Rewrite failures with RHS unbound : 0
% 1.33/0.62 # BW rewrite match attempts : 857
% 1.33/0.62 # BW rewrite match successes : 7
% 1.33/0.62 # Condensation attempts : 0
% 1.33/0.62 # Condensation successes : 0
% 1.33/0.62 # Termbank termtop insertions : 145636
% 1.33/0.62 # Search garbage collected termcells : 1156
% 1.33/0.62
% 1.33/0.62 # -------------------------------------------------
% 1.33/0.62 # User time : 0.161 s
% 1.33/0.62 # System time : 0.006 s
% 1.33/0.62 # Total time : 0.167 s
% 1.33/0.62 # Maximum resident set size: 1880 pages
% 1.33/0.62
% 1.33/0.62 # -------------------------------------------------
% 1.33/0.62 # User time : 0.799 s
% 1.33/0.62 # System time : 0.016 s
% 1.33/0.62 # Total time : 0.815 s
% 1.33/0.62 # Maximum resident set size: 1724 pages
% 1.33/0.62 % E---3.1 exiting
%------------------------------------------------------------------------------