%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COM016+4 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n018.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 04:13:08 PM UTC 2026
% Result : Theorem 1.40s 1.79s
% Output : CNFRefutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 80 ( 4 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 88 ( 25 ~; 35 |; 28 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn 2 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
? [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) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m__731_02,hypothesis,
( ( 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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731_02) ).
fof(m__731,hypothesis,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__731) ).
fof(c_0_3,negated_conjecture,
~ ? [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) ) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_4,negated_conjecture,
! [X142,X143] :
( ( X142 != xb
| ~ aElement0(X142)
| ~ aReductOfIn0(X142,xa,xR) )
& ( ~ aReductOfIn0(xb,X142,xR)
| ~ aElement0(X142)
| ~ aReductOfIn0(X142,xa,xR) )
& ( ~ aElement0(X143)
| ~ aReductOfIn0(X143,X142,xR)
| ~ sdtmndtplgtdt0(X143,xR,xb)
| ~ aElement0(X142)
| ~ aReductOfIn0(X142,xa,xR) )
& ( ~ sdtmndtplgtdt0(X142,xR,xb)
| ~ aElement0(X142)
| ~ aReductOfIn0(X142,xa,xR) )
& ( ~ sdtmndtasgtdt0(X142,xR,xb)
| ~ aElement0(X142)
| ~ aReductOfIn0(X142,xa,xR) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_5,hypothesis,
( ( aElement0(esk20_0)
| aReductOfIn0(xb,xa,xR) )
& ( aReductOfIn0(esk20_0,xa,xR)
| aReductOfIn0(xb,xa,xR) )
& ( sdtmndtplgtdt0(esk20_0,xR,xb)
| aReductOfIn0(xb,xa,xR) )
& sdtmndtplgtdt0(xa,xR,xb)
& ( aElement0(esk21_0)
| aReductOfIn0(xc,xa,xR) )
& ( aReductOfIn0(esk21_0,xa,xR)
| aReductOfIn0(xc,xa,xR) )
& ( sdtmndtplgtdt0(esk21_0,xR,xc)
| aReductOfIn0(xc,xa,xR) )
& sdtmndtplgtdt0(xa,xR,xc) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__731_02])])]) ).
cnf(c_0_6,negated_conjecture,
( X1 != xb
| ~ aElement0(X1)
| ~ aReductOfIn0(X1,xa,xR) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,hypothesis,
aElement0(xb),
inference(split_conjunct,[status(thm)],[m__731]) ).
cnf(c_0_8,hypothesis,
( sdtmndtplgtdt0(esk20_0,xR,xb)
| aReductOfIn0(xb,xa,xR) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,negated_conjecture,
~ aReductOfIn0(xb,xa,xR),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_6]),c_0_7])]) ).
cnf(c_0_10,hypothesis,
( aReductOfIn0(esk20_0,xa,xR)
| aReductOfIn0(xb,xa,xR) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_11,hypothesis,
( aElement0(esk20_0)
| aReductOfIn0(xb,xa,xR) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,negated_conjecture,
( ~ sdtmndtplgtdt0(X1,xR,xb)
| ~ aElement0(X1)
| ~ aReductOfIn0(X1,xa,xR) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,hypothesis,
sdtmndtplgtdt0(esk20_0,xR,xb),
inference(sr,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,hypothesis,
aReductOfIn0(esk20_0,xa,xR),
inference(sr,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_15,hypothesis,
aElement0(esk20_0),
inference(sr,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[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])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : COM016+4 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n018.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon May 4 16:20:02 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.40/1.79 % Version : CSE_E---1.7
% 1.40/1.79 % Problem : theBenchmark.p
% 1.40/1.79 % SZS status Theorem for theBenchmark.p
% 1.40/1.79 % SZS output start CNFRefutation
% See solution above
% 1.40/1.79 % Total time : 1.422s
%------------------------------------------------------------------------------