%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COM012+1 : 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 : n001.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 06:58:42 AM UTC 2026
% Result : Theorem 10.45s 1.80s
% Output : CNFRefutation 10.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of formulae : 38 ( 10 unt; 1 def)
% Number of atoms : 130 ( 30 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 145 ( 53 ~; 75 |; 11 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mTCTrans,axiom,
! [X0,X1,X2,X3] :
( ( aElement0(X3)
& aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( ( sdtmndtplgtdt0(X2,X1,X3)
& sdtmndtplgtdt0(X0,X1,X2) )
=> sdtmndtplgtdt0(X0,X1,X3) ) ) ).
fof(mTCRDef,definition,
! [X0,X1,X2] :
( ( aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) ) ) ).
fof(m__349,hypothesis,
( aElement0(xz)
& aElement0(xy)
& aRewritingSystem0(xR)
& aElement0(xx) ) ).
fof(m__,conjecture,
( ( sdtmndtasgtdt0(xy,xR,xz)
& sdtmndtasgtdt0(xx,xR,xy) )
=> sdtmndtasgtdt0(xx,xR,xz) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( sdtmndtasgtdt0(xy,xR,xz)
& sdtmndtasgtdt0(xx,xR,xy) )
=> sdtmndtasgtdt0(xx,xR,xz) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c8,plain,
( ~ aElement0(X2)
| ~ aElement0(X0)
| ~ aElement0(X3)
| ~ aRewritingSystem0(X1)
| ~ sdtmndtplgtdt0(X0,X1,X3)
| ~ sdtmndtplgtdt0(X3,X1,X2)
| sdtmndtplgtdt0(X0,X1,X2) ),
inference(clausification,[status(esa)],[mTCTrans]) ).
cnf(c9,plain,
( ~ aElement0(X2)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X1,X0,X2)
| ~ sdtmndtasgtdt0(X1,X0,X2)
| X1 = X2
| ~ aRewritingSystem0(X0) ),
inference(clausification,[status(esa)],[mTCRDef]) ).
cnf(c11,plain,
( ~ aElement0(X2)
| ~ aElement0(X0)
| sdtmndtasgtdt0(X0,X1,X2)
| ~ aRewritingSystem0(X1)
| ~ sdtmndtplgtdt0(X0,X1,X2) ),
inference(clausification,[status(esa)],[mTCRDef]) ).
cnf(c12,plain,
aElement0(xx),
inference(clausification,[status(esa)],[m__349]) ).
cnf(c13,plain,
aRewritingSystem0(xR),
inference(clausification,[status(esa)],[m__349]) ).
cnf(c14,plain,
aElement0(xy),
inference(clausification,[status(esa)],[m__349]) ).
cnf(c15,plain,
aElement0(xz),
inference(clausification,[status(esa)],[m__349]) ).
cnf(c16,plain,
sdtmndtasgtdt0(xx,xR,xy),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c17,plain,
sdtmndtasgtdt0(xy,xR,xz),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c18,plain,
~ sdtmndtasgtdt0(xx,xR,xz),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( sdtmndtplgtdt0(xy,xR,xz)
| ~ aElement0(xy)
| ~ aElement0(xz)
| ~ aRewritingSystem0(xR)
| xy = xz ),
inference(resolution,[status(thm)],[c9,c17]) ).
cnf(d1,plain,
( sdtmndtplgtdt0(xy,xR,xz)
| ~ aElement0(xz)
| ~ aElement0(xy)
| xy = xz ),
inference(resolution,[status(thm)],[c13,d0]) ).
cnf(d2,plain,
( sdtmndtplgtdt0(xy,xR,xz)
| ~ aElement0(xz)
| xy = xz ),
inference(resolution,[status(thm)],[c14,d1]) ).
cnf(d3,plain,
( sdtmndtplgtdt0(xy,xR,xz)
| xy = xz ),
inference(resolution,[status(thm)],[c15,d2]) ).
cnf(d4,plain,
( sdtmndtplgtdt0(xx,xR,xy)
| ~ aElement0(xx)
| ~ aElement0(xy)
| ~ aRewritingSystem0(xR)
| xx = xy ),
inference(resolution,[status(thm)],[c9,c16]) ).
cnf(d5,plain,
( sdtmndtplgtdt0(xx,xR,xy)
| ~ aElement0(xy)
| ~ aRewritingSystem0(xR)
| xx = xy ),
inference(resolution,[status(thm)],[c12,d4]) ).
cnf(d6,plain,
( sdtmndtplgtdt0(xx,xR,xy)
| ~ aElement0(xy)
| xx = xy ),
inference(resolution,[status(thm)],[c13,d5]) ).
cnf(d7,plain,
( sdtmndtplgtdt0(xx,xR,xy)
| xx = xy ),
inference(resolution,[status(thm)],[c14,d6]) ).
cnf(d8,plain,
( sdtmndtplgtdt0(xx,xR,X0)
| ~ sdtmndtplgtdt0(xy,xR,X0)
| ~ aElement0(xx)
| ~ aElement0(xy)
| ~ aElement0(X0)
| ~ aRewritingSystem0(xR)
| xx = xy ),
inference(resolution,[status(thm)],[d7,c8]) ).
cnf(d9,plain,
( ~ sdtmndtplgtdt0(xy,xR,X0)
| sdtmndtplgtdt0(xx,xR,X0)
| ~ aElement0(xy)
| ~ aElement0(X0)
| ~ aRewritingSystem0(xR)
| xx = xy ),
inference(resolution,[status(thm)],[c12,d8]) ).
cnf(d10,plain,
( ~ sdtmndtplgtdt0(xy,xR,X0)
| sdtmndtplgtdt0(xx,xR,X0)
| ~ aElement0(xy)
| ~ aElement0(X0)
| xx = xy ),
inference(resolution,[status(thm)],[c13,d9]) ).
cnf(d11,plain,
( ~ sdtmndtplgtdt0(xy,xR,X0)
| sdtmndtplgtdt0(xx,xR,X0)
| ~ aElement0(X0)
| xx = xy ),
inference(resolution,[status(thm)],[c14,d10]) ).
cnf(d12,plain,
( xy = xz
| sdtmndtplgtdt0(xx,xR,xz)
| ~ aElement0(xz)
| xx = xy ),
inference(resolution,[status(thm)],[d11,d3]) ).
cnf(d13,plain,
( sdtmndtplgtdt0(xx,xR,xz)
| xy = xz
| xx = xy ),
inference(resolution,[status(thm)],[c15,d12]) ).
cnf(d14,plain,
( sdtmndtasgtdt0(xx,xR,xz)
| ~ aElement0(xx)
| ~ aElement0(xz)
| ~ aRewritingSystem0(xR)
| xy = xz
| xx = xy ),
inference(resolution,[status(thm)],[d13,c11]) ).
cnf(d15,plain,
( ~ aElement0(xz)
| ~ aElement0(xx)
| ~ aRewritingSystem0(xR)
| xy = xz
| xx = xy ),
inference(resolution,[status(thm)],[c18,d14]) ).
cnf(d16,plain,
( ~ aElement0(xz)
| ~ aRewritingSystem0(xR)
| xy = xz
| xx = xy ),
inference(resolution,[status(thm)],[c12,d15]) ).
cnf(d17,plain,
( ~ aElement0(xz)
| xy = xz
| xx = xy ),
inference(resolution,[status(thm)],[c13,d16]) ).
cnf(d18,plain,
( xy = xz
| xx = xy ),
inference(resolution,[status(thm)],[c15,d17]) ).
cnf(d19,plain,
( xx = xy
| ~ sdtmndtasgtdt0(xx,xR,xy) ),
inference(superposition,[status(thm)],[d18,c18]) ).
cnf(d20,plain,
xx = xy,
inference(resolution,[status(thm)],[c16,d19]) ).
cnf(d21,plain,
sdtmndtasgtdt0(xx,xR,xz),
inference(demodulation,[status(thm)],[c17,d20]) ).
cnf(d22,plain,
$false,
inference(resolution,[status(thm)],[c18,d21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM012+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 23:27:30 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.45/1.80 % SZS status Theorem for theBenchmark.p
% 10.45/1.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------