TSTP Solution File: COM022+4 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : COM022+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n016.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 : 600s
% DateTime : Fri Jul 15 01:14:08 EDT 2022
% Result : Theorem 0.24s 1.43s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 11 unt; 0 def)
% Number of atoms : 620 ( 92 equ)
% Maximal formula atoms : 158 ( 18 avg)
% Number of connectives : 795 ( 209 ~; 319 |; 257 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 53 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 2 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 17 con; 0-0 aty)
% Number of variables : 69 ( 0 sgn 12 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ( ( aReductOfIn0(xb,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xb) )
| sdtmndtplgtdt0(xa,xR,xb) )
& ( aReductOfIn0(xc,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xc) )
| sdtmndtplgtdt0(xa,xR,xc) ) )
=> ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& ( X1 = xb
| ( ( aReductOfIn0(xb,X1,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,X1,xR)
& sdtmndtplgtdt0(X2,xR,xb) ) )
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtasgtdt0(X1,xR,xb)
& ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xa,xR)
& ( X2 = xc
| ( ( aReductOfIn0(xc,X2,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X2,xR)
& sdtmndtplgtdt0(X3,xR,xc) ) )
& sdtmndtplgtdt0(X2,xR,xc) ) )
& sdtmndtasgtdt0(X2,xR,xc)
& ? [X3] :
( aElement0(X3)
& ( X1 = X3
| ( ( aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X1,xR,X3) ) )
& sdtmndtasgtdt0(X1,xR,X3)
& ( X2 = X3
| ( ( aReductOfIn0(X3,X2,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X2,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X2,xR,X3) ) )
& sdtmndtasgtdt0(X2,xR,X3)
& ? [X4] :
( aElement0(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)
& ~ ? [X5] : aReductOfIn0(X5,X4,xR)
& aNormalFormOfIn0(X4,X3,xR)
& ( xb = X4
| ( ( aReductOfIn0(X4,xb,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xb,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(xb,xR,X4) ) )
& sdtmndtasgtdt0(xb,xR,X4)
& ( xc = X4
| ( ( aReductOfIn0(X4,xc,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xc,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(xc,xR,X4) ) )
& sdtmndtasgtdt0(xc,xR,X4) ) ) ) ) )
=> ( ( ( xa = xb
| ( ( aReductOfIn0(xb,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtplgtdt0(xa,xR,xb) ) )
& sdtmndtasgtdt0(xa,xR,xb)
& ( xa = xc
| ( ( aReductOfIn0(xc,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xc) ) )
& sdtmndtplgtdt0(xa,xR,xc) ) )
& sdtmndtasgtdt0(xa,xR,xc) )
=> ? [X1] :
( aElement0(X1)
& ( xb = X1
| aReductOfIn0(X1,xb,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xb,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xb,xR,X1)
| sdtmndtasgtdt0(xb,xR,X1) )
& ( xc = X1
| aReductOfIn0(X1,xc,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xc,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xc,xR,X1)
| sdtmndtasgtdt0(xc,xR,X1) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mTCRDef) ).
fof(m__656,hypothesis,
aRewritingSystem0(xR),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__656) ).
fof(m__731,hypothesis,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__731) ).
fof(c_0_4,plain,
( epred1_0
<=> ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& ( X1 = xb
| ( ( aReductOfIn0(xb,X1,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,X1,xR)
& sdtmndtplgtdt0(X2,xR,xb) ) )
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtasgtdt0(X1,xR,xb)
& ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xa,xR)
& ( X2 = xc
| ( ( aReductOfIn0(xc,X2,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X2,xR)
& sdtmndtplgtdt0(X3,xR,xc) ) )
& sdtmndtplgtdt0(X2,xR,xc) ) )
& sdtmndtasgtdt0(X2,xR,xc)
& ? [X3] :
( aElement0(X3)
& ( X1 = X3
| ( ( aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X1,xR,X3) ) )
& sdtmndtasgtdt0(X1,xR,X3)
& ( X2 = X3
| ( ( aReductOfIn0(X3,X2,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X2,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X2,xR,X3) ) )
& sdtmndtasgtdt0(X2,xR,X3)
& ? [X4] :
( aElement0(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)
& ~ ? [X5] : aReductOfIn0(X5,X4,xR)
& aNormalFormOfIn0(X4,X3,xR)
& ( xb = X4
| ( ( aReductOfIn0(X4,xb,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xb,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(xb,xR,X4) ) )
& sdtmndtasgtdt0(xb,xR,X4)
& ( xc = X4
| ( ( aReductOfIn0(X4,xc,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xc,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(xc,xR,X4) ) )
& sdtmndtasgtdt0(xc,xR,X4) ) ) ) ) ),
introduced(definition) ).
fof(c_0_5,negated_conjecture,
~ ( ( ( ( aReductOfIn0(xb,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xb) )
| sdtmndtplgtdt0(xa,xR,xb) )
& ( aReductOfIn0(xc,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xc) )
| sdtmndtplgtdt0(xa,xR,xc) ) )
=> epred1_0 )
=> ( ( ( xa = xb
| ( ( aReductOfIn0(xb,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtplgtdt0(xa,xR,xb) ) )
& sdtmndtasgtdt0(xa,xR,xb)
& ( xa = xc
| ( ( aReductOfIn0(xc,xa,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& sdtmndtplgtdt0(X1,xR,xc) ) )
& sdtmndtplgtdt0(xa,xR,xc) ) )
& sdtmndtasgtdt0(xa,xR,xc) )
=> ? [X1] :
( aElement0(X1)
& ( xb = X1
| aReductOfIn0(X1,xb,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xb,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xb,xR,X1)
| sdtmndtasgtdt0(xb,xR,X1) )
& ( xc = X1
| aReductOfIn0(X1,xc,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xc,xR)
& sdtmndtplgtdt0(X2,xR,X1) )
| sdtmndtplgtdt0(xc,xR,X1)
| sdtmndtasgtdt0(xc,xR,X1) ) ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[m__]),c_0_4]) ).
fof(c_0_6,negated_conjecture,
! [X3,X4,X7,X8,X9] :
( ( ~ aReductOfIn0(xc,xa,xR)
| ~ aReductOfIn0(xb,xa,xR)
| epred1_0 )
& ( ~ aElement0(X4)
| ~ aReductOfIn0(X4,xa,xR)
| ~ sdtmndtplgtdt0(X4,xR,xc)
| ~ aReductOfIn0(xb,xa,xR)
| epred1_0 )
& ( ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ aReductOfIn0(xb,xa,xR)
| epred1_0 )
& ( ~ aReductOfIn0(xc,xa,xR)
| ~ aElement0(X3)
| ~ aReductOfIn0(X3,xa,xR)
| ~ sdtmndtplgtdt0(X3,xR,xb)
| epred1_0 )
& ( ~ aElement0(X4)
| ~ aReductOfIn0(X4,xa,xR)
| ~ sdtmndtplgtdt0(X4,xR,xc)
| ~ aElement0(X3)
| ~ aReductOfIn0(X3,xa,xR)
| ~ sdtmndtplgtdt0(X3,xR,xb)
| epred1_0 )
& ( ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ aElement0(X3)
| ~ aReductOfIn0(X3,xa,xR)
| ~ sdtmndtplgtdt0(X3,xR,xb)
| epred1_0 )
& ( ~ aReductOfIn0(xc,xa,xR)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| epred1_0 )
& ( ~ aElement0(X4)
| ~ aReductOfIn0(X4,xa,xR)
| ~ sdtmndtplgtdt0(X4,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| epred1_0 )
& ( ~ sdtmndtplgtdt0(xa,xR,xc)
| ~ sdtmndtplgtdt0(xa,xR,xb)
| epred1_0 )
& ( aElement0(esk20_0)
| aReductOfIn0(xb,xa,xR)
| xa = xb )
& ( aReductOfIn0(esk20_0,xa,xR)
| aReductOfIn0(xb,xa,xR)
| xa = xb )
& ( sdtmndtplgtdt0(esk20_0,xR,xb)
| aReductOfIn0(xb,xa,xR)
| xa = xb )
& ( sdtmndtplgtdt0(xa,xR,xb)
| xa = xb )
& sdtmndtasgtdt0(xa,xR,xb)
& ( aElement0(esk21_0)
| aReductOfIn0(xc,xa,xR)
| xa = xc )
& ( aReductOfIn0(esk21_0,xa,xR)
| aReductOfIn0(xc,xa,xR)
| xa = xc )
& ( sdtmndtplgtdt0(esk21_0,xR,xc)
| aReductOfIn0(xc,xa,xR)
| xa = xc )
& ( sdtmndtplgtdt0(xa,xR,xc)
| xa = xc )
& sdtmndtasgtdt0(xa,xR,xc)
& ( xc != X7
| xb != X7
| ~ aElement0(X7) )
& ( ~ aReductOfIn0(X7,xc,xR)
| xb != X7
| ~ aElement0(X7) )
& ( ~ aElement0(X9)
| ~ aReductOfIn0(X9,xc,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| xb != X7
| ~ aElement0(X7) )
& ( ~ sdtmndtplgtdt0(xc,xR,X7)
| xb != X7
| ~ aElement0(X7) )
& ( ~ sdtmndtasgtdt0(xc,xR,X7)
| xb != X7
| ~ aElement0(X7) )
& ( xc != X7
| ~ aReductOfIn0(X7,xb,xR)
| ~ aElement0(X7) )
& ( ~ aReductOfIn0(X7,xc,xR)
| ~ aReductOfIn0(X7,xb,xR)
| ~ aElement0(X7) )
& ( ~ aElement0(X9)
| ~ aReductOfIn0(X9,xc,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aReductOfIn0(X7,xb,xR)
| ~ aElement0(X7) )
& ( ~ sdtmndtplgtdt0(xc,xR,X7)
| ~ aReductOfIn0(X7,xb,xR)
| ~ aElement0(X7) )
& ( ~ sdtmndtasgtdt0(xc,xR,X7)
| ~ aReductOfIn0(X7,xb,xR)
| ~ aElement0(X7) )
& ( xc != X7
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,xb,xR)
| ~ sdtmndtplgtdt0(X8,xR,X7)
| ~ aElement0(X7) )
& ( ~ aReductOfIn0(X7,xc,xR)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,xb,xR)
| ~ sdtmndtplgtdt0(X8,xR,X7)
| ~ aElement0(X7) )
& ( ~ aElement0(X9)
| ~ aReductOfIn0(X9,xc,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,xb,xR)
| ~ sdtmndtplgtdt0(X8,xR,X7)
| ~ aElement0(X7) )
& ( ~ sdtmndtplgtdt0(xc,xR,X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,xb,xR)
| ~ sdtmndtplgtdt0(X8,xR,X7)
| ~ aElement0(X7) )
& ( ~ sdtmndtasgtdt0(xc,xR,X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,xb,xR)
| ~ sdtmndtplgtdt0(X8,xR,X7)
| ~ aElement0(X7) )
& ( xc != X7
| ~ sdtmndtplgtdt0(xb,xR,X7)
| ~ aElement0(X7) )
& ( ~ aReductOfIn0(X7,xc,xR)
| ~ sdtmndtplgtdt0(xb,xR,X7)
| ~ aElement0(X7) )
& ( ~ aElement0(X9)
| ~ aReductOfIn0(X9,xc,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ sdtmndtplgtdt0(xb,xR,X7)
| ~ aElement0(X7) )
& ( ~ sdtmndtplgtdt0(xc,xR,X7)
| ~ sdtmndtplgtdt0(xb,xR,X7)
| ~ aElement0(X7) )
& ( ~ sdtmndtasgtdt0(xc,xR,X7)
| ~ sdtmndtplgtdt0(xb,xR,X7)
| ~ aElement0(X7) )
& ( xc != X7
| ~ sdtmndtasgtdt0(xb,xR,X7)
| ~ aElement0(X7) )
& ( ~ aReductOfIn0(X7,xc,xR)
| ~ sdtmndtasgtdt0(xb,xR,X7)
| ~ aElement0(X7) )
& ( ~ aElement0(X9)
| ~ aReductOfIn0(X9,xc,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ sdtmndtasgtdt0(xb,xR,X7)
| ~ aElement0(X7) )
& ( ~ sdtmndtplgtdt0(xc,xR,X7)
| ~ sdtmndtasgtdt0(xb,xR,X7)
| ~ aElement0(X7) )
& ( ~ sdtmndtasgtdt0(xc,xR,X7)
| ~ sdtmndtasgtdt0(xb,xR,X7)
| ~ aElement0(X7) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])])]) ).
fof(c_0_7,plain,
( epred1_0
=> ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xa,xR)
& ( X1 = xb
| ( ( aReductOfIn0(xb,X1,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,X1,xR)
& sdtmndtplgtdt0(X2,xR,xb) ) )
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtasgtdt0(X1,xR,xb)
& ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xa,xR)
& ( X2 = xc
| ( ( aReductOfIn0(xc,X2,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X2,xR)
& sdtmndtplgtdt0(X3,xR,xc) ) )
& sdtmndtplgtdt0(X2,xR,xc) ) )
& sdtmndtasgtdt0(X2,xR,xc)
& ? [X3] :
( aElement0(X3)
& ( X1 = X3
| ( ( aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X1,xR,X3) ) )
& sdtmndtasgtdt0(X1,xR,X3)
& ( X2 = X3
| ( ( aReductOfIn0(X3,X2,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X2,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X2,xR,X3) ) )
& sdtmndtasgtdt0(X2,xR,X3)
& ? [X4] :
( aElement0(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)
& ~ ? [X5] : aReductOfIn0(X5,X4,xR)
& aNormalFormOfIn0(X4,X3,xR)
& ( xb = X4
| ( ( aReductOfIn0(X4,xb,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xb,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(xb,xR,X4) ) )
& sdtmndtasgtdt0(xb,xR,X4)
& ( xc = X4
| ( ( aReductOfIn0(X4,xc,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,xc,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(xc,xR,X4) ) )
& sdtmndtasgtdt0(xc,xR,X4) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
( epred1_0
| ~ sdtmndtplgtdt0(xa,xR,xb)
| ~ sdtmndtplgtdt0(xa,xR,xc) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( xa = xc
| sdtmndtplgtdt0(xa,xR,xc) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X4,X5,X6] :
( ( ~ sdtmndtasgtdt0(X4,X5,X6)
| X4 = X6
| sdtmndtplgtdt0(X4,X5,X6)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aElement0(X6) )
& ( X4 != X6
| sdtmndtasgtdt0(X4,X5,X6)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aElement0(X6) )
& ( ~ sdtmndtplgtdt0(X4,X5,X6)
| sdtmndtasgtdt0(X4,X5,X6)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mTCRDef])])]) ).
fof(c_0_11,plain,
! [X15] :
( ( aElement0(esk22_0)
| ~ epred1_0 )
& ( aReductOfIn0(esk22_0,xa,xR)
| ~ epred1_0 )
& ( aElement0(esk23_0)
| aReductOfIn0(xb,esk22_0,xR)
| esk22_0 = xb
| ~ epred1_0 )
& ( aReductOfIn0(esk23_0,esk22_0,xR)
| aReductOfIn0(xb,esk22_0,xR)
| esk22_0 = xb
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk23_0,xR,xb)
| aReductOfIn0(xb,esk22_0,xR)
| esk22_0 = xb
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk22_0,xR,xb)
| esk22_0 = xb
| ~ epred1_0 )
& ( sdtmndtasgtdt0(esk22_0,xR,xb)
| ~ epred1_0 )
& ( aElement0(esk24_0)
| ~ epred1_0 )
& ( aReductOfIn0(esk24_0,xa,xR)
| ~ epred1_0 )
& ( aElement0(esk25_0)
| aReductOfIn0(xc,esk24_0,xR)
| esk24_0 = xc
| ~ epred1_0 )
& ( aReductOfIn0(esk25_0,esk24_0,xR)
| aReductOfIn0(xc,esk24_0,xR)
| esk24_0 = xc
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk25_0,xR,xc)
| aReductOfIn0(xc,esk24_0,xR)
| esk24_0 = xc
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk24_0,xR,xc)
| esk24_0 = xc
| ~ epred1_0 )
& ( sdtmndtasgtdt0(esk24_0,xR,xc)
| ~ epred1_0 )
& ( aElement0(esk26_0)
| ~ epred1_0 )
& ( aElement0(esk27_0)
| aReductOfIn0(esk26_0,esk22_0,xR)
| esk22_0 = esk26_0
| ~ epred1_0 )
& ( aReductOfIn0(esk27_0,esk22_0,xR)
| aReductOfIn0(esk26_0,esk22_0,xR)
| esk22_0 = esk26_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk27_0,xR,esk26_0)
| aReductOfIn0(esk26_0,esk22_0,xR)
| esk22_0 = esk26_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk22_0,xR,esk26_0)
| esk22_0 = esk26_0
| ~ epred1_0 )
& ( sdtmndtasgtdt0(esk22_0,xR,esk26_0)
| ~ epred1_0 )
& ( aElement0(esk28_0)
| aReductOfIn0(esk26_0,esk24_0,xR)
| esk24_0 = esk26_0
| ~ epred1_0 )
& ( aReductOfIn0(esk28_0,esk24_0,xR)
| aReductOfIn0(esk26_0,esk24_0,xR)
| esk24_0 = esk26_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk28_0,xR,esk26_0)
| aReductOfIn0(esk26_0,esk24_0,xR)
| esk24_0 = esk26_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk24_0,xR,esk26_0)
| esk24_0 = esk26_0
| ~ epred1_0 )
& ( sdtmndtasgtdt0(esk24_0,xR,esk26_0)
| ~ epred1_0 )
& ( aElement0(esk29_0)
| ~ epred1_0 )
& ( aElement0(esk30_0)
| aReductOfIn0(esk29_0,esk26_0,xR)
| esk26_0 = esk29_0
| ~ epred1_0 )
& ( aReductOfIn0(esk30_0,esk26_0,xR)
| aReductOfIn0(esk29_0,esk26_0,xR)
| esk26_0 = esk29_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk30_0,xR,esk29_0)
| aReductOfIn0(esk29_0,esk26_0,xR)
| esk26_0 = esk29_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk26_0,xR,esk29_0)
| esk26_0 = esk29_0
| ~ epred1_0 )
& ( sdtmndtasgtdt0(esk26_0,xR,esk29_0)
| ~ epred1_0 )
& ( ~ aReductOfIn0(X15,esk29_0,xR)
| ~ epred1_0 )
& ( aNormalFormOfIn0(esk29_0,esk26_0,xR)
| ~ epred1_0 )
& ( aElement0(esk31_0)
| aReductOfIn0(esk29_0,xb,xR)
| xb = esk29_0
| ~ epred1_0 )
& ( aReductOfIn0(esk31_0,xb,xR)
| aReductOfIn0(esk29_0,xb,xR)
| xb = esk29_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk31_0,xR,esk29_0)
| aReductOfIn0(esk29_0,xb,xR)
| xb = esk29_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(xb,xR,esk29_0)
| xb = esk29_0
| ~ epred1_0 )
& ( sdtmndtasgtdt0(xb,xR,esk29_0)
| ~ epred1_0 )
& ( aElement0(esk32_0)
| aReductOfIn0(esk29_0,xc,xR)
| xc = esk29_0
| ~ epred1_0 )
& ( aReductOfIn0(esk32_0,xc,xR)
| aReductOfIn0(esk29_0,xc,xR)
| xc = esk29_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(esk32_0,xR,esk29_0)
| aReductOfIn0(esk29_0,xc,xR)
| xc = esk29_0
| ~ epred1_0 )
& ( sdtmndtplgtdt0(xc,xR,esk29_0)
| xc = esk29_0
| ~ epred1_0 )
& ( sdtmndtasgtdt0(xc,xR,esk29_0)
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])])]) ).
cnf(c_0_12,negated_conjecture,
( xa = xc
| epred1_0
| ~ sdtmndtplgtdt0(xa,xR,xb) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| X3 = X1
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
sdtmndtasgtdt0(xa,xR,xb),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_15,hypothesis,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[m__656]) ).
cnf(c_0_16,hypothesis,
aElement0(xa),
inference(split_conjunct,[status(thm)],[m__731]) ).
cnf(c_0_17,hypothesis,
aElement0(xb),
inference(split_conjunct,[status(thm)],[m__731]) ).
cnf(c_0_18,negated_conjecture,
( ~ aElement0(X1)
| ~ sdtmndtasgtdt0(xb,xR,X1)
| ~ sdtmndtasgtdt0(xc,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,plain,
( sdtmndtasgtdt0(xc,xR,esk29_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,plain,
( aElement0(esk29_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,plain,
( sdtmndtasgtdt0(xb,xR,esk29_0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22,negated_conjecture,
( xa = xb
| xa = xc
| epred1_0 ),
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_12,c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]) ).
cnf(c_0_23,plain,
~ epred1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( xa = xc
| xa = xb ),
inference(sr,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,negated_conjecture,
( ~ aElement0(X1)
| xb != X1
| ~ sdtmndtasgtdt0(xc,xR,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,negated_conjecture,
( xa = xb
| sdtmndtasgtdt0(xc,xR,xb) ),
inference(spm,[status(thm)],[c_0_14,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
( ~ aElement0(X1)
| xb != X1
| xc != X1 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_28,hypothesis,
aElement0(xc),
inference(split_conjunct,[status(thm)],[m__731]) ).
cnf(c_0_29,negated_conjecture,
xa = xb,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_17])]) ).
cnf(c_0_30,hypothesis,
xc != xb,
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( ~ aElement0(X1)
| ~ sdtmndtplgtdt0(xb,xR,X1)
| xc != X1 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_32,negated_conjecture,
sdtmndtplgtdt0(xb,xR,xc),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_29]),c_0_29]),c_0_30]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COM022+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 16 20:24:19 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.24/1.43 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.24/1.43 # Preprocessing time : 0.032 s
% 0.24/1.43
% 0.24/1.43 # Proof found!
% 0.24/1.43 # SZS status Theorem
% 0.24/1.43 # SZS output start CNFRefutation
% See solution above
% 0.24/1.43 # Proof object total steps : 34
% 0.24/1.43 # Proof object clause steps : 24
% 0.24/1.43 # Proof object formula steps : 10
% 0.24/1.43 # Proof object conjectures : 17
% 0.24/1.43 # Proof object clause conjectures : 14
% 0.24/1.43 # Proof object formula conjectures : 3
% 0.24/1.43 # Proof object initial clauses used : 15
% 0.24/1.43 # Proof object initial formulas used : 4
% 0.24/1.43 # Proof object generating inferences : 7
% 0.24/1.43 # Proof object simplifying inferences : 15
% 0.24/1.43 # Training examples: 0 positive, 0 negative
% 0.24/1.43 # Parsed axioms : 19
% 0.24/1.43 # Removed by relevancy pruning/SinE : 0
% 0.24/1.43 # Initial clauses : 425
% 0.24/1.43 # Removed in clause preprocessing : 4
% 0.24/1.43 # Initial clauses in saturation : 421
% 0.24/1.43 # Processed clauses : 483
% 0.24/1.43 # ...of these trivial : 0
% 0.24/1.43 # ...subsumed : 29
% 0.24/1.43 # ...remaining for further processing : 454
% 0.24/1.43 # Other redundant clauses eliminated : 111
% 0.24/1.43 # Clauses deleted for lack of memory : 0
% 0.24/1.43 # Backward-subsumed : 3
% 0.24/1.43 # Backward-rewritten : 215
% 0.24/1.43 # Generated clauses : 5769
% 0.24/1.43 # ...of the previous two non-trivial : 5830
% 0.24/1.43 # Contextual simplify-reflections : 40
% 0.24/1.43 # Paramodulations : 5664
% 0.24/1.43 # Factorizations : 1
% 0.24/1.43 # Equation resolutions : 111
% 0.24/1.43 # Current number of processed clauses : 134
% 0.24/1.43 # Positive orientable unit clauses : 7
% 0.24/1.43 # Positive unorientable unit clauses: 0
% 0.24/1.43 # Negative unit clauses : 2
% 0.24/1.43 # Non-unit-clauses : 125
% 0.24/1.43 # Current number of unprocessed clauses: 672
% 0.24/1.43 # ...number of literals in the above : 4694
% 0.24/1.43 # Current number of archived formulas : 0
% 0.24/1.43 # Current number of archived clauses : 219
% 0.24/1.43 # Clause-clause subsumption calls (NU) : 125894
% 0.24/1.43 # Rec. Clause-clause subsumption calls : 5698
% 0.24/1.43 # Non-unit clause-clause subsumptions : 68
% 0.24/1.43 # Unit Clause-clause subsumption calls : 641
% 0.24/1.43 # Rewrite failures with RHS unbound : 0
% 0.24/1.43 # BW rewrite match attempts : 4
% 0.24/1.43 # BW rewrite match successes : 1
% 0.24/1.43 # Condensation attempts : 0
% 0.24/1.43 # Condensation successes : 0
% 0.24/1.43 # Termbank termtop insertions : 219858
% 0.24/1.43
% 0.24/1.43 # -------------------------------------------------
% 0.24/1.43 # User time : 0.196 s
% 0.24/1.43 # System time : 0.004 s
% 0.24/1.43 # Total time : 0.200 s
% 0.24/1.43 # Maximum resident set size: 10600 pages
%------------------------------------------------------------------------------