TSTP Solution File: COM020+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : COM020+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n011.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 : Wed Aug 30 18:36:20 EDT 2023
% Result : Theorem 0.16s 0.57s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 47
% Syntax : Number of formulae : 99 ( 23 unt; 32 typ; 0 def)
% Number of atoms : 308 ( 8 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 414 ( 173 ~; 177 |; 48 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 46 ( 24 >; 22 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-4 aty)
% Number of variables : 102 ( 0 sgn; 48 !; 5 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
aElement0: $i > $o ).
tff(decl_23,type,
aRewritingSystem0: $i > $o ).
tff(decl_24,type,
aReductOfIn0: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
iLess0: ( $i * $i ) > $o ).
tff(decl_26,type,
sdtmndtplgtdt0: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
sdtmndtasgtdt0: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
isConfluent0: $i > $o ).
tff(decl_29,type,
isLocallyConfluent0: $i > $o ).
tff(decl_30,type,
isTerminating0: $i > $o ).
tff(decl_31,type,
aNormalFormOfIn0: ( $i * $i * $i ) > $o ).
tff(decl_32,type,
xR: $i ).
tff(decl_33,type,
xa: $i ).
tff(decl_34,type,
xb: $i ).
tff(decl_35,type,
xc: $i ).
tff(decl_36,type,
xu: $i ).
tff(decl_37,type,
xv: $i ).
tff(decl_38,type,
xw: $i ).
tff(decl_39,type,
xd: $i ).
tff(decl_40,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
esk2_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
esk3_1: $i > $i ).
tff(decl_43,type,
esk4_1: $i > $i ).
tff(decl_44,type,
esk5_1: $i > $i ).
tff(decl_45,type,
esk6_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_46,type,
esk7_1: $i > $i ).
tff(decl_47,type,
esk8_1: $i > $i ).
tff(decl_48,type,
esk9_1: $i > $i ).
tff(decl_49,type,
esk10_1: $i > $i ).
tff(decl_50,type,
esk11_1: $i > $i ).
tff(decl_51,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk14_3: ( $i * $i * $i ) > $i ).
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(m__,conjecture,
? [X1] :
( aElement0(X1)
& sdtmndtasgtdt0(xb,xR,X1)
& sdtmndtasgtdt0(xd,xR,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
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(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__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__818,hypothesis,
aNormalFormOfIn0(xd,xw,xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__818) ).
fof(m__656,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__656) ).
fof(m__799,hypothesis,
( aElement0(xw)
& sdtmndtasgtdt0(xu,xR,xw)
& sdtmndtasgtdt0(xv,xR,xw) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__799) ).
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__731,hypothesis,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731) ).
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__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__731_02,hypothesis,
( sdtmndtplgtdt0(xa,xR,xb)
& sdtmndtplgtdt0(xa,xR,xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731_02) ).
fof(c_0_15,plain,
! [X9,X10,X11,X13] :
( ( aElement0(esk1_3(X9,X10,X11))
| aReductOfIn0(X11,X9,X10)
| ~ sdtmndtplgtdt0(X9,X10,X11)
| ~ aElement0(X9)
| ~ aRewritingSystem0(X10)
| ~ aElement0(X11) )
& ( aReductOfIn0(esk1_3(X9,X10,X11),X9,X10)
| aReductOfIn0(X11,X9,X10)
| ~ sdtmndtplgtdt0(X9,X10,X11)
| ~ aElement0(X9)
| ~ aRewritingSystem0(X10)
| ~ aElement0(X11) )
& ( sdtmndtplgtdt0(esk1_3(X9,X10,X11),X10,X11)
| aReductOfIn0(X11,X9,X10)
| ~ sdtmndtplgtdt0(X9,X10,X11)
| ~ aElement0(X9)
| ~ aRewritingSystem0(X10)
| ~ aElement0(X11) )
& ( ~ aReductOfIn0(X11,X9,X10)
| sdtmndtplgtdt0(X9,X10,X11)
| ~ aElement0(X9)
| ~ aRewritingSystem0(X10)
| ~ aElement0(X11) )
& ( ~ aElement0(X13)
| ~ aReductOfIn0(X13,X9,X10)
| ~ sdtmndtplgtdt0(X13,X10,X11)
| sdtmndtplgtdt0(X9,X10,X11)
| ~ aElement0(X9)
| ~ aRewritingSystem0(X10)
| ~ aElement0(X11) ) ),
inference(distribute,[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_16,plain,
! [X6,X7,X8] :
( ~ aElement0(X6)
| ~ aRewritingSystem0(X7)
| ~ aReductOfIn0(X8,X6,X7)
| aElement0(X8) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mReduct])])]) ).
fof(c_0_17,negated_conjecture,
~ ? [X1] :
( aElement0(X1)
& sdtmndtasgtdt0(xb,xR,X1)
& sdtmndtasgtdt0(xd,xR,X1) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_18,plain,
! [X48,X49,X50,X51,X52] :
( ( aElement0(X50)
| ~ aNormalFormOfIn0(X50,X48,X49)
| ~ aElement0(X48)
| ~ aRewritingSystem0(X49) )
& ( sdtmndtasgtdt0(X48,X49,X50)
| ~ aNormalFormOfIn0(X50,X48,X49)
| ~ aElement0(X48)
| ~ aRewritingSystem0(X49) )
& ( ~ aReductOfIn0(X51,X50,X49)
| ~ aNormalFormOfIn0(X50,X48,X49)
| ~ aElement0(X48)
| ~ aRewritingSystem0(X49) )
& ( ~ aElement0(X52)
| ~ sdtmndtasgtdt0(X48,X49,X52)
| aReductOfIn0(esk12_3(X48,X49,X52),X52,X49)
| aNormalFormOfIn0(X52,X48,X49)
| ~ aElement0(X48)
| ~ aRewritingSystem0(X49) ) ),
inference(distribute,[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_19,plain,
! [X18,X19,X20] :
( ( ~ sdtmndtasgtdt0(X18,X19,X20)
| X18 = X20
| sdtmndtplgtdt0(X18,X19,X20)
| ~ aElement0(X18)
| ~ aRewritingSystem0(X19)
| ~ aElement0(X20) )
& ( X18 != X20
| sdtmndtasgtdt0(X18,X19,X20)
| ~ aElement0(X18)
| ~ aRewritingSystem0(X19)
| ~ aElement0(X20) )
& ( ~ sdtmndtplgtdt0(X18,X19,X20)
| sdtmndtasgtdt0(X18,X19,X20)
| ~ aElement0(X18)
| ~ aRewritingSystem0(X19)
| ~ aElement0(X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTCRDef])])]) ).
cnf(c_0_20,plain,
( sdtmndtplgtdt0(X2,X3,X1)
| ~ aReductOfIn0(X1,X2,X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
( aElement0(X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aReductOfIn0(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_22,negated_conjecture,
! [X61] :
( ~ aElement0(X61)
| ~ sdtmndtasgtdt0(xb,xR,X61)
| ~ sdtmndtasgtdt0(xd,xR,X61) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])]) ).
fof(c_0_23,hypothesis,
! [X57,X58,X59] :
( ( aElement0(esk14_3(X57,X58,X59))
| ~ iLess0(X57,xa)
| ~ aElement0(X57)
| ~ aElement0(X58)
| ~ aElement0(X59)
| ~ sdtmndtasgtdt0(X57,xR,X58)
| ~ sdtmndtasgtdt0(X57,xR,X59) )
& ( sdtmndtasgtdt0(X58,xR,esk14_3(X57,X58,X59))
| ~ iLess0(X57,xa)
| ~ aElement0(X57)
| ~ aElement0(X58)
| ~ aElement0(X59)
| ~ sdtmndtasgtdt0(X57,xR,X58)
| ~ sdtmndtasgtdt0(X57,xR,X59) )
& ( sdtmndtasgtdt0(X59,xR,esk14_3(X57,X58,X59))
| ~ iLess0(X57,xa)
| ~ aElement0(X57)
| ~ aElement0(X58)
| ~ aElement0(X59)
| ~ sdtmndtasgtdt0(X57,xR,X58)
| ~ sdtmndtasgtdt0(X57,xR,X59) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__715])])])]) ).
cnf(c_0_24,plain,
( aElement0(X1)
| ~ aNormalFormOfIn0(X1,X2,X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,hypothesis,
aNormalFormOfIn0(xd,xw,xR),
inference(split_conjunct,[status(thm)],[m__818]) ).
cnf(c_0_26,hypothesis,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[m__656]) ).
cnf(c_0_27,hypothesis,
aElement0(xw),
inference(split_conjunct,[status(thm)],[m__799]) ).
cnf(c_0_28,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ sdtmndtplgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,plain,
( sdtmndtplgtdt0(X1,X2,X3)
| ~ aReductOfIn0(X3,X1,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_30,negated_conjecture,
( ~ aElement0(X1)
| ~ sdtmndtasgtdt0(xb,xR,X1)
| ~ sdtmndtasgtdt0(xd,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,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_23]) ).
cnf(c_0_32,hypothesis,
aElement0(xd),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_33,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ aReductOfIn0(X3,X1,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_21]) ).
cnf(c_0_34,hypothesis,
aReductOfIn0(xu,xa,xR),
inference(split_conjunct,[status(thm)],[m__755]) ).
cnf(c_0_35,hypothesis,
aElement0(xa),
inference(split_conjunct,[status(thm)],[m__731]) ).
cnf(c_0_36,negated_conjecture,
( ~ sdtmndtasgtdt0(xb,xR,esk14_3(X1,X2,xd))
| ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ iLess0(X1,xa)
| ~ aElement0(esk14_3(X1,X2,xd))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_37,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_23]) ).
cnf(c_0_38,hypothesis,
aElement0(xb),
inference(split_conjunct,[status(thm)],[m__731]) ).
fof(c_0_39,plain,
! [X43,X44,X45] :
( ( ~ isTerminating0(X43)
| ~ aElement0(X44)
| ~ aElement0(X45)
| ~ sdtmndtplgtdt0(X44,X43,X45)
| iLess0(X45,X44)
| ~ aRewritingSystem0(X43) )
& ( aElement0(esk10_1(X43))
| isTerminating0(X43)
| ~ aRewritingSystem0(X43) )
& ( aElement0(esk11_1(X43))
| isTerminating0(X43)
| ~ aRewritingSystem0(X43) )
& ( sdtmndtplgtdt0(esk10_1(X43),X43,esk11_1(X43))
| isTerminating0(X43)
| ~ aRewritingSystem0(X43) )
& ( ~ iLess0(esk11_1(X43),esk10_1(X43))
| isTerminating0(X43)
| ~ aRewritingSystem0(X43) ) ),
inference(distribute,[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_40,plain,
( X1 = X3
| sdtmndtplgtdt0(X1,X2,X3)
| ~ sdtmndtasgtdt0(X1,X2,X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_41,hypothesis,
sdtmndtasgtdt0(xa,xR,xu),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_26]),c_0_35])]) ).
cnf(c_0_42,hypothesis,
aElement0(xu),
inference(split_conjunct,[status(thm)],[m__755]) ).
cnf(c_0_43,negated_conjecture,
( ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xb)
| ~ iLess0(X1,xa)
| ~ aElement0(esk14_3(X1,xb,xd))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_32])]) ).
cnf(c_0_44,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_23]) ).
cnf(c_0_45,plain,
( iLess0(X3,X2)
| ~ isTerminating0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X2,X1,X3)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,hypothesis,
( xu = xa
| sdtmndtplgtdt0(xa,xR,xu) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_26]),c_0_42]),c_0_35])]) ).
cnf(c_0_47,hypothesis,
isTerminating0(xR),
inference(split_conjunct,[status(thm)],[m__656_01]) ).
fof(c_0_48,plain,
! [X21,X22,X23,X24] :
( ~ aElement0(X21)
| ~ aRewritingSystem0(X22)
| ~ aElement0(X23)
| ~ aElement0(X24)
| ~ sdtmndtasgtdt0(X21,X22,X23)
| ~ sdtmndtasgtdt0(X23,X22,X24)
| sdtmndtasgtdt0(X21,X22,X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTCRTrans])]) ).
cnf(c_0_49,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ aNormalFormOfIn0(X3,X1,X2)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_50,hypothesis,
( ~ sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xb)
| ~ iLess0(X1,xa)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_32]),c_0_38])]) ).
cnf(c_0_51,hypothesis,
( xu = xa
| 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_45,c_0_46]),c_0_47]),c_0_26]),c_0_42]),c_0_35])]) ).
cnf(c_0_52,hypothesis,
sdtmndtasgtdt0(xu,xR,xb),
inference(split_conjunct,[status(thm)],[m__755]) ).
cnf(c_0_53,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_48]) ).
cnf(c_0_54,hypothesis,
sdtmndtasgtdt0(xw,xR,xd),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_55,hypothesis,
( xu = xa
| ~ sdtmndtasgtdt0(xu,xR,xd) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_42])]) ).
cnf(c_0_56,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_53,c_0_54]),c_0_26]),c_0_32]),c_0_27])]) ).
cnf(c_0_57,hypothesis,
sdtmndtasgtdt0(xu,xR,xw),
inference(split_conjunct,[status(thm)],[m__799]) ).
cnf(c_0_58,hypothesis,
xu = xa,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_42])]) ).
cnf(c_0_59,plain,
( iLess0(X1,X2)
| ~ isTerminating0(X3)
| ~ aReductOfIn0(X1,X2,X3)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_29]),c_0_21]) ).
cnf(c_0_60,hypothesis,
aReductOfIn0(xa,xa,xR),
inference(rw,[status(thm)],[c_0_34,c_0_58]) ).
cnf(c_0_61,hypothesis,
sdtmndtplgtdt0(xa,xR,xb),
inference(split_conjunct,[status(thm)],[m__731_02]) ).
cnf(c_0_62,hypothesis,
iLess0(xa,xa),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_47]),c_0_26]),c_0_35])]) ).
cnf(c_0_63,hypothesis,
sdtmndtasgtdt0(xa,xR,xb),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_61]),c_0_26]),c_0_38]),c_0_35])]) ).
cnf(c_0_64,hypothesis,
~ sdtmndtasgtdt0(xa,xR,xd),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_62]),c_0_63]),c_0_35])]) ).
cnf(c_0_65,hypothesis,
sdtmndtasgtdt0(xa,xR,xw),
inference(rw,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_66,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_56]),c_0_65]),c_0_35])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COM020+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 13:32:11 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.53 start to proof: theBenchmark
% 0.16/0.57 % Version : CSE_E---1.5
% 0.16/0.57 % Problem : theBenchmark.p
% 0.16/0.57 % Proof found
% 0.16/0.57 % SZS status Theorem for theBenchmark.p
% 0.16/0.57 % SZS output start Proof
% See solution above
% 0.16/0.58 % Total time : 0.027000 s
% 0.16/0.58 % SZS output end Proof
% 0.16/0.58 % Total time : 0.029000 s
%------------------------------------------------------------------------------