%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COM017+4 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n017.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 : Tue May 5 04:13:09 PM UTC 2026
% Result : Theorem 3.92s 3.23s
% Output : CNFRefutation 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 340 ( 34 equ)
% Maximal formula atoms : 96 ( 14 avg)
% Number of connectives : 510 ( 193 ~; 217 |; 97 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 40 ( 0 sgn 14 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
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_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__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__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__731,hypothesis,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
fof(c_0_5,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__]) ).
fof(c_0_6,negated_conjecture,
! [X147,X148,X149] :
( ( xv != X147
| xu != X147
| ~ aElement0(X147) )
& ( ~ aReductOfIn0(X147,xv,xR)
| xu != X147
| ~ aElement0(X147) )
& ( ~ aElement0(X149)
| ~ aReductOfIn0(X149,xv,xR)
| ~ sdtmndtplgtdt0(X149,xR,X147)
| xu != X147
| ~ aElement0(X147) )
& ( ~ sdtmndtplgtdt0(xv,xR,X147)
| xu != X147
| ~ aElement0(X147) )
& ( ~ sdtmndtasgtdt0(xv,xR,X147)
| xu != X147
| ~ aElement0(X147) )
& ( xv != X147
| ~ aReductOfIn0(X147,xu,xR)
| ~ aElement0(X147) )
& ( ~ aReductOfIn0(X147,xv,xR)
| ~ aReductOfIn0(X147,xu,xR)
| ~ aElement0(X147) )
& ( ~ aElement0(X149)
| ~ aReductOfIn0(X149,xv,xR)
| ~ sdtmndtplgtdt0(X149,xR,X147)
| ~ aReductOfIn0(X147,xu,xR)
| ~ aElement0(X147) )
& ( ~ sdtmndtplgtdt0(xv,xR,X147)
| ~ aReductOfIn0(X147,xu,xR)
| ~ aElement0(X147) )
& ( ~ sdtmndtasgtdt0(xv,xR,X147)
| ~ aReductOfIn0(X147,xu,xR)
| ~ aElement0(X147) )
& ( xv != X147
| ~ aElement0(X148)
| ~ aReductOfIn0(X148,xu,xR)
| ~ sdtmndtplgtdt0(X148,xR,X147)
| ~ aElement0(X147) )
& ( ~ aReductOfIn0(X147,xv,xR)
| ~ aElement0(X148)
| ~ aReductOfIn0(X148,xu,xR)
| ~ sdtmndtplgtdt0(X148,xR,X147)
| ~ aElement0(X147) )
& ( ~ aElement0(X149)
| ~ aReductOfIn0(X149,xv,xR)
| ~ sdtmndtplgtdt0(X149,xR,X147)
| ~ aElement0(X148)
| ~ aReductOfIn0(X148,xu,xR)
| ~ sdtmndtplgtdt0(X148,xR,X147)
| ~ aElement0(X147) )
& ( ~ sdtmndtplgtdt0(xv,xR,X147)
| ~ aElement0(X148)
| ~ aReductOfIn0(X148,xu,xR)
| ~ sdtmndtplgtdt0(X148,xR,X147)
| ~ aElement0(X147) )
& ( ~ sdtmndtasgtdt0(xv,xR,X147)
| ~ aElement0(X148)
| ~ aReductOfIn0(X148,xu,xR)
| ~ sdtmndtplgtdt0(X148,xR,X147)
| ~ aElement0(X147) )
& ( xv != X147
| ~ sdtmndtplgtdt0(xu,xR,X147)
| ~ aElement0(X147) )
& ( ~ aReductOfIn0(X147,xv,xR)
| ~ sdtmndtplgtdt0(xu,xR,X147)
| ~ aElement0(X147) )
& ( ~ aElement0(X149)
| ~ aReductOfIn0(X149,xv,xR)
| ~ sdtmndtplgtdt0(X149,xR,X147)
| ~ sdtmndtplgtdt0(xu,xR,X147)
| ~ aElement0(X147) )
& ( ~ sdtmndtplgtdt0(xv,xR,X147)
| ~ sdtmndtplgtdt0(xu,xR,X147)
| ~ aElement0(X147) )
& ( ~ sdtmndtasgtdt0(xv,xR,X147)
| ~ sdtmndtplgtdt0(xu,xR,X147)
| ~ aElement0(X147) )
& ( xv != X147
| ~ sdtmndtasgtdt0(xu,xR,X147)
| ~ aElement0(X147) )
& ( ~ aReductOfIn0(X147,xv,xR)
| ~ sdtmndtasgtdt0(xu,xR,X147)
| ~ aElement0(X147) )
& ( ~ aElement0(X149)
| ~ aReductOfIn0(X149,xv,xR)
| ~ sdtmndtplgtdt0(X149,xR,X147)
| ~ sdtmndtasgtdt0(xu,xR,X147)
| ~ aElement0(X147) )
& ( ~ sdtmndtplgtdt0(xv,xR,X147)
| ~ sdtmndtasgtdt0(xu,xR,X147)
| ~ aElement0(X147) )
& ( ~ sdtmndtasgtdt0(xv,xR,X147)
| ~ sdtmndtasgtdt0(xu,xR,X147)
| ~ aElement0(X147) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_7,hypothesis,
! [X126,X127,X128,X132,X133,X134] :
( ( aElement0(esk14_3(X126,X127,X128))
| ~ aElement0(X126)
| ~ aElement0(X127)
| ~ aElement0(X128)
| ~ aReductOfIn0(X127,X126,xR)
| ~ aReductOfIn0(X128,X126,xR) )
& ( aElement0(esk15_3(X126,X127,X128))
| aReductOfIn0(esk14_3(X126,X127,X128),X127,xR)
| X127 = esk14_3(X126,X127,X128)
| ~ aElement0(X126)
| ~ aElement0(X127)
| ~ aElement0(X128)
| ~ aReductOfIn0(X127,X126,xR)
| ~ aReductOfIn0(X128,X126,xR) )
& ( aReductOfIn0(esk15_3(X126,X127,X128),X127,xR)
| aReductOfIn0(esk14_3(X126,X127,X128),X127,xR)
| X127 = esk14_3(X126,X127,X128)
| ~ aElement0(X126)
| ~ aElement0(X127)
| ~ aElement0(X128)
| ~ aReductOfIn0(X127,X126,xR)
| ~ aReductOfIn0(X128,X126,xR) )
& ( sdtmndtplgtdt0(esk15_3(X126,X127,X128),xR,esk14_3(X126,X127,X128))
| aReductOfIn0(esk14_3(X126,X127,X128),X127,xR)
| X127 = esk14_3(X126,X127,X128)
| ~ aElement0(X126)
| ~ aElement0(X127)
| ~ aElement0(X128)
| ~ aReductOfIn0(X127,X126,xR)
| ~ aReductOfIn0(X128,X126,xR) )
& ( sdtmndtplgtdt0(X127,xR,esk14_3(X126,X127,X128))
| X127 = esk14_3(X126,X127,X128)
| ~ aElement0(X126)
| ~ aElement0(X127)
| ~ aElement0(X128)
| ~ aReductOfIn0(X127,X126,xR)
| ~ aReductOfIn0(X128,X126,xR) )
& ( sdtmndtasgtdt0(X127,xR,esk14_3(X126,X127,X128))
| ~ aElement0(X126)
| ~ aElement0(X127)
| ~ aElement0(X128)
| ~ aReductOfIn0(X127,X126,xR)
| ~ aReductOfIn0(X128,X126,xR) )
& ( aElement0(esk16_3(X126,X127,X128))
| aReductOfIn0(esk14_3(X126,X127,X128),X128,xR)
| X128 = esk14_3(X126,X127,X128)
| ~ aElement0(X126)
| ~ aElement0(X127)
| ~ aElement0(X128)
| ~ aReductOfIn0(X127,X126,xR)
| ~ aReductOfIn0(X128,X126,xR) )
& ( aReductOfIn0(esk16_3(X126,X127,X128),X128,xR)
| aReductOfIn0(esk14_3(X126,X127,X128),X128,xR)
| X128 = esk14_3(X126,X127,X128)
| ~ aElement0(X126)
| ~ aElement0(X127)
| ~ aElement0(X128)
| ~ aReductOfIn0(X127,X126,xR)
| ~ aReductOfIn0(X128,X126,xR) )
& ( sdtmndtplgtdt0(esk16_3(X126,X127,X128),xR,esk14_3(X126,X127,X128))
| aReductOfIn0(esk14_3(X126,X127,X128),X128,xR)
| X128 = esk14_3(X126,X127,X128)
| ~ aElement0(X126)
| ~ aElement0(X127)
| ~ aElement0(X128)
| ~ aReductOfIn0(X127,X126,xR)
| ~ aReductOfIn0(X128,X126,xR) )
& ( sdtmndtplgtdt0(X128,xR,esk14_3(X126,X127,X128))
| X128 = esk14_3(X126,X127,X128)
| ~ aElement0(X126)
| ~ aElement0(X127)
| ~ aElement0(X128)
| ~ aReductOfIn0(X127,X126,xR)
| ~ aReductOfIn0(X128,X126,xR) )
& ( sdtmndtasgtdt0(X128,xR,esk14_3(X126,X127,X128))
| ~ aElement0(X126)
| ~ aElement0(X127)
| ~ aElement0(X128)
| ~ aReductOfIn0(X127,X126,xR)
| ~ aReductOfIn0(X128,X126,xR) )
& isLocallyConfluent0(xR)
& ( ~ aReductOfIn0(X133,X132,xR)
| iLess0(X133,X132)
| ~ aElement0(X132)
| ~ aElement0(X133) )
& ( ~ aElement0(X134)
| ~ aReductOfIn0(X134,X132,xR)
| ~ sdtmndtplgtdt0(X134,xR,X133)
| iLess0(X133,X132)
| ~ aElement0(X132)
| ~ aElement0(X133) )
& ( ~ sdtmndtplgtdt0(X132,xR,X133)
| iLess0(X133,X132)
| ~ aElement0(X132)
| ~ aElement0(X133) )
& 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])])])])]) ).
fof(c_0_8,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])])]) ).
cnf(c_0_9,negated_conjecture,
( ~ sdtmndtasgtdt0(xv,xR,X1)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk14_3(X2,X3,X1))
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ aReductOfIn0(X3,X2,xR)
| ~ aReductOfIn0(X1,X2,xR) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,hypothesis,
aElement0(xv),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_12,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_13,negated_conjecture,
( ~ sdtmndtasgtdt0(xu,xR,esk14_3(X1,X2,xv))
| ~ aReductOfIn0(xv,X1,xR)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(esk14_3(X1,X2,xv))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_14,hypothesis,
( sdtmndtasgtdt0(X1,xR,esk14_3(X2,X1,X3))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ aReductOfIn0(X1,X2,xR)
| ~ aReductOfIn0(X3,X2,xR) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,hypothesis,
aElement0(xu),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,hypothesis,
( ~ aReductOfIn0(xv,X1,xR)
| ~ aReductOfIn0(xu,X1,xR)
| ~ aElement0(esk14_3(X1,xu,xv))
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_11])]) ).
cnf(c_0_17,hypothesis,
( aElement0(esk14_3(X1,X2,X3))
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aReductOfIn0(X3,X1,xR) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_18,hypothesis,
( ~ aReductOfIn0(xv,X1,xR)
| ~ aReductOfIn0(xu,X1,xR)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_11]),c_0_15])]) ).
cnf(c_0_19,hypothesis,
aReductOfIn0(xv,xa,xR),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,hypothesis,
aReductOfIn0(xu,xa,xR),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,hypothesis,
aElement0(xa),
inference(split_conjunct,[status(thm)],[m__731]) ).
cnf(c_0_22,hypothesis,
$false,
inference(cn,[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])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM017+4 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n017.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 16:18:42 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 3.92/3.23 % Version : CSE_E---1.7
% 3.92/3.23 % Problem : theBenchmark.p
% 3.92/3.23 % SZS status Theorem for theBenchmark.p
% 3.92/3.23 % SZS output start CNFRefutation
% See solution above
% 3.92/3.24 % Total time : 2.424s
%------------------------------------------------------------------------------