%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COM021+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 06:58:44 AM UTC 2026
% Result : Theorem 14.05s 3.29s
% Output : CNFRefutation 14.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 50 ( 8 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 42 ( 4 ~; 17 |; 21 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 7 ( 1 sgn 0 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__818,hypothesis,
( aNormalFormOfIn0(xd,xw,xR)
& ~ ? [X0] : aReductOfIn0(X0,xd,xR)
& sdtmndtasgtdt0(xw,xR,xd)
& ( ( sdtmndtplgtdt0(xw,xR,xd)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xd)
& aReductOfIn0(X0,xw,xR)
& aElement0(X0) )
| aReductOfIn0(xd,xw,xR) ) )
| xw = xd )
& aElement0(xd) ) ).
fof(m__850,hypothesis,
( sdtmndtasgtdt0(xd,xR,xx)
& ( ( sdtmndtplgtdt0(xd,xR,xx)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xx)
& aReductOfIn0(X0,xd,xR)
& aElement0(X0) )
| aReductOfIn0(xx,xd,xR) ) )
| xd = xx )
& sdtmndtasgtdt0(xb,xR,xx)
& ( ( sdtmndtplgtdt0(xb,xR,xx)
& ( ? [X0] :
( sdtmndtplgtdt0(X0,xR,xx)
& aReductOfIn0(X0,xb,xR)
& aElement0(X0) )
| aReductOfIn0(xx,xb,xR) ) )
| xb = xx )
& aElement0(xx) ) ).
fof(m__,conjecture,
( sdtmndtasgtdt0(xb,xR,xd)
| sdtmndtplgtdt0(xb,xR,xd)
| ? [X0] :
( sdtmndtplgtdt0(X0,xR,xd)
& aReductOfIn0(X0,xb,xR)
& aElement0(X0) )
| aReductOfIn0(xd,xb,xR)
| xb = xd ) ).
fof(negated_conjecture,negated_conjecture,
~ ( sdtmndtasgtdt0(xb,xR,xd)
| sdtmndtplgtdt0(xb,xR,xd)
| ? [X0] :
( sdtmndtplgtdt0(X0,xR,xd)
& aReductOfIn0(X0,xb,xR)
& aElement0(X0) )
| aReductOfIn0(xd,xb,xR)
| xb = xd ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c129,plain,
~ aReductOfIn0(X0,xd,xR),
inference(clausification,[status(esa)],[m__818]) ).
cnf(c136,plain,
sdtmndtasgtdt0(xb,xR,xx),
inference(clausification,[status(esa)],[m__850]) ).
cnf(c138,plain,
( aReductOfIn0(sK91,xd,xR)
| aReductOfIn0(xx,xd,xR)
| xd = xx ),
inference(clausification,[status(esa)],[m__850]) ).
cnf(c146,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( aReductOfIn0(sK91,xd,xR)
| xd = xx ),
inference(resolution,[status(thm)],[c129,c138]) ).
cnf(d1,plain,
xd = xx,
inference(resolution,[status(thm)],[d0,c129]) ).
cnf(d2,plain,
sdtmndtasgtdt0(xb,xR,xd),
inference(demodulation,[status(thm)],[c136,d1]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[c146,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM021+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 23:23:21 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.05/3.29 % SZS status Theorem for theBenchmark.p
% 14.05/3.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------