%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : RNG103+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 08:25:53 AM UTC 2026
% Result : Theorem 32.77s 11.38s
% Output : CNFRefutation 32.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 36 ( 16 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 29 ( 13 ~; 10 |; 5 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mAMDistr,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ( sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ) ).
fof(m__1905,hypothesis,
aElement0(xc) ).
fof(m__1956,hypothesis,
( sdtasdt0(xc,xu) = xx
& aElement0(xu) ) ).
fof(m__1979,hypothesis,
( sdtasdt0(xc,xv) = xy
& aElement0(xv) ) ).
fof(m__,conjecture,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)) ).
fof(negated_conjecture,negated_conjecture,
sdtpldt0(xx,xy) != sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(c15,plain,
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(clausification,[status(esa)],[mAMDistr]) ).
cnf(c107,plain,
aElement0(xc),
inference(clausification,[status(esa)],[m__1905]) ).
cnf(c115,plain,
aElement0(xu),
inference(clausification,[status(esa)],[m__1956]) ).
cnf(c116,plain,
sdtasdt0(xc,xu) = xx,
inference(clausification,[status(esa)],[m__1956]) ).
cnf(c117,plain,
aElement0(xv),
inference(clausification,[status(esa)],[m__1979]) ).
cnf(c118,plain,
sdtasdt0(xc,xv) = xy,
inference(clausification,[status(esa)],[m__1979]) ).
cnf(c119,plain,
sdtpldt0(xx,xy) != sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ aElement0(xu)
| ~ aElement0(xc)
| ~ aElement0(X0)
| sdtasdt0(xc,sdtpldt0(xu,X0)) = sdtpldt0(xx,sdtasdt0(xc,X0)) ),
inference(superposition,[status(thm)],[c116,c15]) ).
cnf(d1,plain,
( ~ aElement0(xu)
| ~ aElement0(X0)
| sdtasdt0(xc,sdtpldt0(xu,X0)) = sdtpldt0(xx,sdtasdt0(xc,X0)) ),
inference(resolution,[status(thm)],[c107,d0]) ).
cnf(d2,plain,
( ~ aElement0(X0)
| sdtasdt0(xc,sdtpldt0(xu,X0)) = sdtpldt0(xx,sdtasdt0(xc,X0)) ),
inference(resolution,[status(thm)],[c115,d1]) ).
cnf(d3,plain,
( ~ aElement0(xv)
| sdtasdt0(xc,sdtpldt0(xu,xv)) = sdtpldt0(xx,xy) ),
inference(superposition,[status(thm)],[c118,d2]) ).
cnf(d4,plain,
sdtasdt0(xc,sdtpldt0(xu,xv)) = sdtpldt0(xx,xy),
inference(resolution,[status(thm)],[c117,d3]) ).
cnf(d5,plain,
sdtpldt0(xx,xy) != sdtpldt0(xx,xy),
inference(demodulation,[status(thm)],[c119,d4]) ).
cnf(d6,plain,
$false,
inference(equality_resolution,[status(thm)],[d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG103+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n002.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 26 06:08:40 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.77/11.38 % SZS status Theorem for theBenchmark.p
% 32.77/11.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------