%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : COM021+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 : n027.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 04:13:10 PM UTC 2026
% Result : Theorem 1.36s 1.79s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 5 unt; 0 def)
% Number of atoms : 96 ( 22 equ)
% Maximal formula atoms : 25 ( 6 avg)
% Number of connectives : 95 ( 13 ~; 40 |; 42 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 9 ( 1 sgn 2 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__850,hypothesis,
( aElement0(xx)
& ( xb = xx
| ( ( aReductOfIn0(xx,xb,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xb,xR)
& sdtmndtplgtdt0(X1,xR,xx) ) )
& sdtmndtplgtdt0(xb,xR,xx) ) )
& sdtmndtasgtdt0(xb,xR,xx)
& ( xd = xx
| ( ( aReductOfIn0(xx,xd,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xd,xR)
& sdtmndtplgtdt0(X1,xR,xx) ) )
& sdtmndtplgtdt0(xd,xR,xx) ) )
& sdtmndtasgtdt0(xd,xR,xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__850) ).
fof(m__818,hypothesis,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xw,xR)
& sdtmndtplgtdt0(X1,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ~ ? [X1] : aReductOfIn0(X1,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).
fof(m__,conjecture,
( xb = xd
| aReductOfIn0(xd,xb,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xb,xR)
& sdtmndtplgtdt0(X1,xR,xd) )
| sdtmndtplgtdt0(xb,xR,xd)
| sdtmndtasgtdt0(xb,xR,xd) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(c_0_3,hypothesis,
( aElement0(xx)
& ( aElement0(esk27_0)
| aReductOfIn0(xx,xb,xR)
| xb = xx )
& ( aReductOfIn0(esk27_0,xb,xR)
| aReductOfIn0(xx,xb,xR)
| xb = xx )
& ( sdtmndtplgtdt0(esk27_0,xR,xx)
| aReductOfIn0(xx,xb,xR)
| xb = xx )
& ( sdtmndtplgtdt0(xb,xR,xx)
| xb = xx )
& sdtmndtasgtdt0(xb,xR,xx)
& ( aElement0(esk28_0)
| aReductOfIn0(xx,xd,xR)
| xd = xx )
& ( aReductOfIn0(esk28_0,xd,xR)
| aReductOfIn0(xx,xd,xR)
| xd = xx )
& ( sdtmndtplgtdt0(esk28_0,xR,xx)
| aReductOfIn0(xx,xd,xR)
| xd = xx )
& ( sdtmndtplgtdt0(xd,xR,xx)
| xd = xx )
& sdtmndtasgtdt0(xd,xR,xx) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__850])])]) ).
fof(c_0_4,hypothesis,
! [X154] :
( aElement0(xd)
& ( aElement0(esk26_0)
| aReductOfIn0(xd,xw,xR)
| xw = xd )
& ( aReductOfIn0(esk26_0,xw,xR)
| aReductOfIn0(xd,xw,xR)
| xw = xd )
& ( sdtmndtplgtdt0(esk26_0,xR,xd)
| aReductOfIn0(xd,xw,xR)
| xw = xd )
& ( sdtmndtplgtdt0(xw,xR,xd)
| xw = xd )
& sdtmndtasgtdt0(xw,xR,xd)
& ~ aReductOfIn0(X154,xd,xR)
& aNormalFormOfIn0(xd,xw,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__818])])])])]) ).
fof(c_0_5,negated_conjecture,
~ ( xb = xd
| aReductOfIn0(xd,xb,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xb,xR)
& sdtmndtplgtdt0(X1,xR,xd) )
| sdtmndtplgtdt0(xb,xR,xd)
| sdtmndtasgtdt0(xb,xR,xd) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_6,hypothesis,
( aReductOfIn0(esk28_0,xd,xR)
| aReductOfIn0(xx,xd,xR)
| xd = xx ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,hypothesis,
~ aReductOfIn0(X1,xd,xR),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
! [X157] :
( xb != xd
& ~ aReductOfIn0(xd,xb,xR)
& ( ~ aElement0(X157)
| ~ aReductOfIn0(X157,xb,xR)
| ~ sdtmndtplgtdt0(X157,xR,xd) )
& ~ sdtmndtplgtdt0(xb,xR,xd)
& ~ sdtmndtasgtdt0(xb,xR,xd) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_9,hypothesis,
( sdtmndtplgtdt0(xb,xR,xx)
| xb = xx ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,hypothesis,
xx = xd,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_6,c_0_7]),c_0_7]) ).
cnf(c_0_11,negated_conjecture,
xb != xd,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
~ sdtmndtplgtdt0(xb,xR,xd),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10]),c_0_11]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM021+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
% 0.16/0.33 % Computer : n027.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
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon May 4 16:20:05 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.36/1.79 % Version : CSE_E---1.7
% 1.36/1.79 % Problem : theBenchmark.p
% 1.36/1.79 % SZS status Theorem for theBenchmark.p
% 1.36/1.79 % SZS output start CNFRefutation
% See solution above
% 1.36/1.79 % Total time : 1.421s
%------------------------------------------------------------------------------