TSTP Solution File: COM017+4 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : COM017+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n002.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 18:36:19 EDT 2023
% Result : Theorem 0.98s 1.08s
% Output : CNFRefutation 0.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 47
% Syntax : Number of formulae : 74 ( 10 unt; 39 typ; 0 def)
% Number of atoms : 427 ( 34 equ)
% Maximal formula atoms : 96 ( 12 avg)
% Number of connectives : 632 ( 240 ~; 272 |; 112 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 61 ( 29 >; 32 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 10 con; 0-4 aty)
% Number of variables : 73 ( 0 sgn; 29 !; 13 ?; 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,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
esk2_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_40,type,
esk3_1: $i > $i ).
tff(decl_41,type,
esk4_1: $i > $i ).
tff(decl_42,type,
esk5_1: $i > $i ).
tff(decl_43,type,
esk6_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_44,type,
esk7_1: $i > $i ).
tff(decl_45,type,
esk8_1: $i > $i ).
tff(decl_46,type,
esk9_1: $i > $i ).
tff(decl_47,type,
esk10_1: $i > $i ).
tff(decl_48,type,
esk11_1: $i > $i ).
tff(decl_49,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_51,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_57,type,
esk20_0: $i ).
tff(decl_58,type,
esk21_0: $i ).
tff(decl_59,type,
esk22_0: $i ).
tff(decl_60,type,
esk23_0: $i ).
fof(mWCRDef,axiom,
! [X1] :
( aRewritingSystem0(X1)
=> ( isLocallyConfluent0(X1)
<=> ! [X2,X3,X4] :
( ( aElement0(X2)
& aElement0(X3)
& aElement0(X4)
& aReductOfIn0(X3,X2,X1)
& aReductOfIn0(X4,X2,X1) )
=> ? [X5] :
( aElement0(X5)
& sdtmndtasgtdt0(X3,X1,X5)
& sdtmndtasgtdt0(X4,X1,X5) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mWCRDef) ).
fof(mReduct,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aRewritingSystem0(X2) )
=> ! [X3] :
( aReductOfIn0(X3,X1,X2)
=> aElement0(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mReduct) ).
fof(m__779,hypothesis,
( aElement0(xv)
& aReductOfIn0(xv,xa,xR)
& ( xv = xc
| ( ( aReductOfIn0(xc,xv,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xv,xR)
& sdtmndtplgtdt0(X1,xR,xc) ) )
& sdtmndtplgtdt0(xv,xR,xc) ) )
& sdtmndtasgtdt0(xv,xR,xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__779) ).
fof(m__656_01,hypothesis,
( ! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3)
& aReductOfIn0(X2,X1,xR)
& aReductOfIn0(X3,X1,xR) )
=> ? [X4] :
( aElement0(X4)
& ( X2 = X4
| ( ( aReductOfIn0(X4,X2,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X2,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X2,xR,X4) ) )
& sdtmndtasgtdt0(X2,xR,X4)
& ( X3 = X4
| ( ( aReductOfIn0(X4,X3,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X3,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X3,xR,X4) ) )
& sdtmndtasgtdt0(X3,xR,X4) ) )
& isLocallyConfluent0(xR)
& ! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( ( aReductOfIn0(X2,X1,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X1,xR)
& sdtmndtplgtdt0(X3,xR,X2) )
| sdtmndtplgtdt0(X1,xR,X2) )
=> iLess0(X2,X1) ) )
& isTerminating0(xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656_01) ).
fof(m__755,hypothesis,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& ( xu = xb
| ( ( aReductOfIn0(xb,xu,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xu,xR)
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtplgtdt0(xu,xR,xb) ) )
& sdtmndtasgtdt0(xu,xR,xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__755) ).
fof(m__,conjecture,
? [X1] :
( aElement0(X1)
& ( xu = X1
| aReductOfIn0(X1,xu,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xu,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xu,xR,X1)
| sdtmndtasgtdt0(xu,xR,X1) )
& ( xv = X1
| aReductOfIn0(X1,xv,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xv,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xv,xR,X1)
| sdtmndtasgtdt0(xv,xR,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m__656,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
fof(m__731,hypothesis,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
fof(c_0_8,plain,
! [X34,X35,X36,X37,X42] :
( ( aElement0(esk6_4(X34,X35,X36,X37))
| ~ aElement0(X35)
| ~ aElement0(X36)
| ~ aElement0(X37)
| ~ aReductOfIn0(X36,X35,X34)
| ~ aReductOfIn0(X37,X35,X34)
| ~ isLocallyConfluent0(X34)
| ~ aRewritingSystem0(X34) )
& ( sdtmndtasgtdt0(X36,X34,esk6_4(X34,X35,X36,X37))
| ~ aElement0(X35)
| ~ aElement0(X36)
| ~ aElement0(X37)
| ~ aReductOfIn0(X36,X35,X34)
| ~ aReductOfIn0(X37,X35,X34)
| ~ isLocallyConfluent0(X34)
| ~ aRewritingSystem0(X34) )
& ( sdtmndtasgtdt0(X37,X34,esk6_4(X34,X35,X36,X37))
| ~ aElement0(X35)
| ~ aElement0(X36)
| ~ aElement0(X37)
| ~ aReductOfIn0(X36,X35,X34)
| ~ aReductOfIn0(X37,X35,X34)
| ~ isLocallyConfluent0(X34)
| ~ aRewritingSystem0(X34) )
& ( aElement0(esk7_1(X34))
| isLocallyConfluent0(X34)
| ~ aRewritingSystem0(X34) )
& ( aElement0(esk8_1(X34))
| isLocallyConfluent0(X34)
| ~ aRewritingSystem0(X34) )
& ( aElement0(esk9_1(X34))
| isLocallyConfluent0(X34)
| ~ aRewritingSystem0(X34) )
& ( aReductOfIn0(esk8_1(X34),esk7_1(X34),X34)
| isLocallyConfluent0(X34)
| ~ aRewritingSystem0(X34) )
& ( aReductOfIn0(esk9_1(X34),esk7_1(X34),X34)
| isLocallyConfluent0(X34)
| ~ aRewritingSystem0(X34) )
& ( ~ aElement0(X42)
| ~ sdtmndtasgtdt0(esk8_1(X34),X34,X42)
| ~ sdtmndtasgtdt0(esk9_1(X34),X34,X42)
| isLocallyConfluent0(X34)
| ~ aRewritingSystem0(X34) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mWCRDef])])])])]) ).
fof(c_0_9,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])])]) ).
cnf(c_0_10,plain,
( sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X1,X4))
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aElement0(X4)
| ~ aReductOfIn0(X1,X3,X2)
| ~ aReductOfIn0(X4,X3,X2)
| ~ isLocallyConfluent0(X2)
| ~ aRewritingSystem0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( aElement0(X3)
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aReductOfIn0(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_12,hypothesis,
( aElement0(xv)
& aReductOfIn0(xv,xa,xR)
& ( aElement0(esk23_0)
| aReductOfIn0(xc,xv,xR)
| xv = xc )
& ( aReductOfIn0(esk23_0,xv,xR)
| aReductOfIn0(xc,xv,xR)
| xv = xc )
& ( sdtmndtplgtdt0(esk23_0,xR,xc)
| aReductOfIn0(xc,xv,xR)
| xv = xc )
& ( sdtmndtplgtdt0(xv,xR,xc)
| xv = xc )
& sdtmndtasgtdt0(xv,xR,xc) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__779])])]) ).
fof(c_0_13,hypothesis,
! [X57,X58,X59,X63,X64,X65] :
( ( aElement0(esk14_3(X57,X58,X59))
| ~ aElement0(X57)
| ~ aElement0(X58)
| ~ aElement0(X59)
| ~ aReductOfIn0(X58,X57,xR)
| ~ aReductOfIn0(X59,X57,xR) )
& ( aElement0(esk15_3(X57,X58,X59))
| aReductOfIn0(esk14_3(X57,X58,X59),X58,xR)
| X58 = esk14_3(X57,X58,X59)
| ~ aElement0(X57)
| ~ aElement0(X58)
| ~ aElement0(X59)
| ~ aReductOfIn0(X58,X57,xR)
| ~ aReductOfIn0(X59,X57,xR) )
& ( aReductOfIn0(esk15_3(X57,X58,X59),X58,xR)
| aReductOfIn0(esk14_3(X57,X58,X59),X58,xR)
| X58 = esk14_3(X57,X58,X59)
| ~ aElement0(X57)
| ~ aElement0(X58)
| ~ aElement0(X59)
| ~ aReductOfIn0(X58,X57,xR)
| ~ aReductOfIn0(X59,X57,xR) )
& ( sdtmndtplgtdt0(esk15_3(X57,X58,X59),xR,esk14_3(X57,X58,X59))
| aReductOfIn0(esk14_3(X57,X58,X59),X58,xR)
| X58 = esk14_3(X57,X58,X59)
| ~ aElement0(X57)
| ~ aElement0(X58)
| ~ aElement0(X59)
| ~ aReductOfIn0(X58,X57,xR)
| ~ aReductOfIn0(X59,X57,xR) )
& ( sdtmndtplgtdt0(X58,xR,esk14_3(X57,X58,X59))
| X58 = esk14_3(X57,X58,X59)
| ~ aElement0(X57)
| ~ aElement0(X58)
| ~ aElement0(X59)
| ~ aReductOfIn0(X58,X57,xR)
| ~ aReductOfIn0(X59,X57,xR) )
& ( sdtmndtasgtdt0(X58,xR,esk14_3(X57,X58,X59))
| ~ aElement0(X57)
| ~ aElement0(X58)
| ~ aElement0(X59)
| ~ aReductOfIn0(X58,X57,xR)
| ~ aReductOfIn0(X59,X57,xR) )
& ( aElement0(esk16_3(X57,X58,X59))
| aReductOfIn0(esk14_3(X57,X58,X59),X59,xR)
| X59 = esk14_3(X57,X58,X59)
| ~ aElement0(X57)
| ~ aElement0(X58)
| ~ aElement0(X59)
| ~ aReductOfIn0(X58,X57,xR)
| ~ aReductOfIn0(X59,X57,xR) )
& ( aReductOfIn0(esk16_3(X57,X58,X59),X59,xR)
| aReductOfIn0(esk14_3(X57,X58,X59),X59,xR)
| X59 = esk14_3(X57,X58,X59)
| ~ aElement0(X57)
| ~ aElement0(X58)
| ~ aElement0(X59)
| ~ aReductOfIn0(X58,X57,xR)
| ~ aReductOfIn0(X59,X57,xR) )
& ( sdtmndtplgtdt0(esk16_3(X57,X58,X59),xR,esk14_3(X57,X58,X59))
| aReductOfIn0(esk14_3(X57,X58,X59),X59,xR)
| X59 = esk14_3(X57,X58,X59)
| ~ aElement0(X57)
| ~ aElement0(X58)
| ~ aElement0(X59)
| ~ aReductOfIn0(X58,X57,xR)
| ~ aReductOfIn0(X59,X57,xR) )
& ( sdtmndtplgtdt0(X59,xR,esk14_3(X57,X58,X59))
| X59 = esk14_3(X57,X58,X59)
| ~ aElement0(X57)
| ~ aElement0(X58)
| ~ aElement0(X59)
| ~ aReductOfIn0(X58,X57,xR)
| ~ aReductOfIn0(X59,X57,xR) )
& ( sdtmndtasgtdt0(X59,xR,esk14_3(X57,X58,X59))
| ~ aElement0(X57)
| ~ aElement0(X58)
| ~ aElement0(X59)
| ~ aReductOfIn0(X58,X57,xR)
| ~ aReductOfIn0(X59,X57,xR) )
& isLocallyConfluent0(xR)
& ( ~ aReductOfIn0(X64,X63,xR)
| iLess0(X64,X63)
| ~ aElement0(X63)
| ~ aElement0(X64) )
& ( ~ aElement0(X65)
| ~ aReductOfIn0(X65,X63,xR)
| ~ sdtmndtplgtdt0(X65,xR,X64)
| iLess0(X64,X63)
| ~ aElement0(X63)
| ~ aElement0(X64) )
& ( ~ sdtmndtplgtdt0(X63,xR,X64)
| iLess0(X64,X63)
| ~ aElement0(X63)
| ~ aElement0(X64) )
& isTerminating0(xR) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__656_01])])])])]) ).
cnf(c_0_14,plain,
( sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X4,X1))
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aElement0(X1)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aReductOfIn0(X1,X3,X2)
| ~ isLocallyConfluent0(X2)
| ~ aRewritingSystem0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_15,hypothesis,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& ( aElement0(esk22_0)
| aReductOfIn0(xb,xu,xR)
| xu = xb )
& ( aReductOfIn0(esk22_0,xu,xR)
| aReductOfIn0(xb,xu,xR)
| xu = xb )
& ( sdtmndtplgtdt0(esk22_0,xR,xb)
| aReductOfIn0(xb,xu,xR)
| xu = xb )
& ( sdtmndtplgtdt0(xu,xR,xb)
| xu = xb )
& sdtmndtasgtdt0(xu,xR,xb) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__755])])]) ).
cnf(c_0_16,plain,
( aElement0(esk6_4(X1,X2,X3,X4))
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aReductOfIn0(X3,X2,X1)
| ~ aReductOfIn0(X4,X2,X1)
| ~ isLocallyConfluent0(X1)
| ~ aRewritingSystem0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_17,negated_conjecture,
~ ? [X1] :
( aElement0(X1)
& ( xu = X1
| aReductOfIn0(X1,xu,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xu,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xu,xR,X1)
| sdtmndtasgtdt0(xu,xR,X1) )
& ( xv = X1
| aReductOfIn0(X1,xv,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xv,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xv,xR,X1)
| sdtmndtasgtdt0(xv,xR,X1) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_18,plain,
( sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X1,X4))
| ~ isLocallyConfluent0(X2)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aReductOfIn0(X1,X3,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_10,c_0_11]),c_0_11]) ).
cnf(c_0_19,hypothesis,
aReductOfIn0(xv,xa,xR),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,hypothesis,
isLocallyConfluent0(xR),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
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]) ).
cnf(c_0_23,plain,
( sdtmndtasgtdt0(X1,X2,esk6_4(X2,X3,X4,X1))
| ~ isLocallyConfluent0(X2)
| ~ aReductOfIn0(X4,X3,X2)
| ~ aReductOfIn0(X1,X3,X2)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_14,c_0_11]),c_0_11]) ).
cnf(c_0_24,hypothesis,
aReductOfIn0(xu,xa,xR),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,plain,
( aElement0(esk6_4(X1,X2,X3,X4))
| ~ isLocallyConfluent0(X1)
| ~ aReductOfIn0(X4,X2,X1)
| ~ aReductOfIn0(X3,X2,X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_16,c_0_11]),c_0_11]) ).
fof(c_0_26,negated_conjecture,
! [X78,X79,X80] :
( ( xv != X78
| xu != X78
| ~ aElement0(X78) )
& ( ~ aReductOfIn0(X78,xv,xR)
| xu != X78
| ~ aElement0(X78) )
& ( ~ aElement0(X80)
| ~ aReductOfIn0(X80,xv,xR)
| ~ sdtmndtplgtdt0(X80,xR,X78)
| xu != X78
| ~ aElement0(X78) )
& ( ~ sdtmndtplgtdt0(xv,xR,X78)
| xu != X78
| ~ aElement0(X78) )
& ( ~ sdtmndtasgtdt0(xv,xR,X78)
| xu != X78
| ~ aElement0(X78) )
& ( xv != X78
| ~ aReductOfIn0(X78,xu,xR)
| ~ aElement0(X78) )
& ( ~ aReductOfIn0(X78,xv,xR)
| ~ aReductOfIn0(X78,xu,xR)
| ~ aElement0(X78) )
& ( ~ aElement0(X80)
| ~ aReductOfIn0(X80,xv,xR)
| ~ sdtmndtplgtdt0(X80,xR,X78)
| ~ aReductOfIn0(X78,xu,xR)
| ~ aElement0(X78) )
& ( ~ sdtmndtplgtdt0(xv,xR,X78)
| ~ aReductOfIn0(X78,xu,xR)
| ~ aElement0(X78) )
& ( ~ sdtmndtasgtdt0(xv,xR,X78)
| ~ aReductOfIn0(X78,xu,xR)
| ~ aElement0(X78) )
& ( xv != X78
| ~ aElement0(X79)
| ~ aReductOfIn0(X79,xu,xR)
| ~ sdtmndtplgtdt0(X79,xR,X78)
| ~ aElement0(X78) )
& ( ~ aReductOfIn0(X78,xv,xR)
| ~ aElement0(X79)
| ~ aReductOfIn0(X79,xu,xR)
| ~ sdtmndtplgtdt0(X79,xR,X78)
| ~ aElement0(X78) )
& ( ~ aElement0(X80)
| ~ aReductOfIn0(X80,xv,xR)
| ~ sdtmndtplgtdt0(X80,xR,X78)
| ~ aElement0(X79)
| ~ aReductOfIn0(X79,xu,xR)
| ~ sdtmndtplgtdt0(X79,xR,X78)
| ~ aElement0(X78) )
& ( ~ sdtmndtplgtdt0(xv,xR,X78)
| ~ aElement0(X79)
| ~ aReductOfIn0(X79,xu,xR)
| ~ sdtmndtplgtdt0(X79,xR,X78)
| ~ aElement0(X78) )
& ( ~ sdtmndtasgtdt0(xv,xR,X78)
| ~ aElement0(X79)
| ~ aReductOfIn0(X79,xu,xR)
| ~ sdtmndtplgtdt0(X79,xR,X78)
| ~ aElement0(X78) )
& ( xv != X78
| ~ sdtmndtplgtdt0(xu,xR,X78)
| ~ aElement0(X78) )
& ( ~ aReductOfIn0(X78,xv,xR)
| ~ sdtmndtplgtdt0(xu,xR,X78)
| ~ aElement0(X78) )
& ( ~ aElement0(X80)
| ~ aReductOfIn0(X80,xv,xR)
| ~ sdtmndtplgtdt0(X80,xR,X78)
| ~ sdtmndtplgtdt0(xu,xR,X78)
| ~ aElement0(X78) )
& ( ~ sdtmndtplgtdt0(xv,xR,X78)
| ~ sdtmndtplgtdt0(xu,xR,X78)
| ~ aElement0(X78) )
& ( ~ sdtmndtasgtdt0(xv,xR,X78)
| ~ sdtmndtplgtdt0(xu,xR,X78)
| ~ aElement0(X78) )
& ( xv != X78
| ~ sdtmndtasgtdt0(xu,xR,X78)
| ~ aElement0(X78) )
& ( ~ aReductOfIn0(X78,xv,xR)
| ~ sdtmndtasgtdt0(xu,xR,X78)
| ~ aElement0(X78) )
& ( ~ aElement0(X80)
| ~ aReductOfIn0(X80,xv,xR)
| ~ sdtmndtplgtdt0(X80,xR,X78)
| ~ sdtmndtasgtdt0(xu,xR,X78)
| ~ aElement0(X78) )
& ( ~ sdtmndtplgtdt0(xv,xR,X78)
| ~ sdtmndtasgtdt0(xu,xR,X78)
| ~ aElement0(X78) )
& ( ~ sdtmndtasgtdt0(xv,xR,X78)
| ~ sdtmndtasgtdt0(xu,xR,X78)
| ~ aElement0(X78) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).
cnf(c_0_27,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk6_4(xR,xa,X1,xv))
| ~ aReductOfIn0(X1,xa,xR) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_28,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk6_4(xR,xa,xu,X1))
| ~ aReductOfIn0(X1,xa,xR) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_29,hypothesis,
( aElement0(esk6_4(xR,xa,X1,xv))
| ~ aReductOfIn0(X1,xa,xR) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_19]),c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_30,negated_conjecture,
( ~ sdtmndtasgtdt0(xv,xR,X1)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,hypothesis,
sdtmndtasgtdt0(xu,xR,esk6_4(xR,xa,xu,xv)),
inference(spm,[status(thm)],[c_0_27,c_0_24]) ).
cnf(c_0_32,hypothesis,
sdtmndtasgtdt0(xv,xR,esk6_4(xR,xa,xu,xv)),
inference(spm,[status(thm)],[c_0_28,c_0_19]) ).
cnf(c_0_33,hypothesis,
aElement0(esk6_4(xR,xa,xu,xv)),
inference(spm,[status(thm)],[c_0_29,c_0_24]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM017+4 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 13:32:50 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.98/1.08 % Version : CSE_E---1.5
% 0.98/1.08 % Problem : theBenchmark.p
% 0.98/1.08 % Proof found
% 0.98/1.08 % SZS status Theorem for theBenchmark.p
% 0.98/1.08 % SZS output start Proof
% See solution above
% 0.98/1.08 % Total time : 0.502000 s
% 0.98/1.08 % SZS output end Proof
% 0.98/1.08 % Total time : 0.506000 s
%------------------------------------------------------------------------------