%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG199+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 06:48:04 AM UTC 2026
% Result : Theorem 31.36s 4.48s
% Output : CNFRefutation 31.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 78 ( 77 equ)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 99 ( 38 ~; 45 |; 16 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 )
& op(e6,e6) != e6
& op(e5,e5) != e5
& op(e4,e4) != e4
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ) ).
fof(negated_conjecture,negated_conjecture,
~ ~ ( ( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 )
& op(e6,e6) != e6
& op(e5,e5) != e5
& op(e4,e4) != e4
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(c517,plain,
op(e0,e0) != e0,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c518,plain,
op(e1,e1) != e1,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c519,plain,
op(e2,e2) != e2,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c520,plain,
op(e3,e3) != e3,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c521,plain,
op(e4,e4) != e4,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c522,plain,
op(e5,e5) != e5,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c523,plain,
op(e6,e6) != e6,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c524,plain,
( op(e3,e3) = e3
| op(e0,e0) = e0
| op(e2,e2) = e2
| op(e5,e5) = e5
| op(e1,e1) = e1
| op(e6,e6) = e6
| op(e4,e4) = e4 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( op(e1,e1) = e1
| op(e4,e4) = e4
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e6,e6) = e6
| op(e5,e5) = e5 ),
inference(resolution,[status(thm)],[c517,c524]) ).
cnf(d1,plain,
( op(e4,e4) = e4
| op(e2,e2) = e2
| op(e3,e3) = e3
| op(e6,e6) = e6
| op(e5,e5) = e5 ),
inference(resolution,[status(thm)],[c518,d0]) ).
cnf(d2,plain,
( op(e4,e4) = e4
| op(e3,e3) = e3
| op(e6,e6) = e6
| op(e5,e5) = e5 ),
inference(resolution,[status(thm)],[c519,d1]) ).
cnf(d3,plain,
( op(e4,e4) = e4
| op(e6,e6) = e6
| op(e5,e5) = e5 ),
inference(resolution,[status(thm)],[c520,d2]) ).
cnf(d4,plain,
( op(e6,e6) = e6
| op(e5,e5) = e5 ),
inference(resolution,[status(thm)],[c521,d3]) ).
cnf(d5,plain,
op(e6,e6) = e6,
inference(resolution,[status(thm)],[c522,d4]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c523,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG199+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n011.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 21:24:59 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.36/4.48 % SZS status Theorem for theBenchmark.p
% 31.36/4.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------