%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG200+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 20.75s 3.22s
% Output : CNFRefutation 20.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 1
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 127 ( 126 equ)
% Maximal formula atoms : 21 ( 5 avg)
% Number of connectives : 197 ( 94 ~; 87 |; 16 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 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(c516,plain,
op(e0,e0) = e0,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c517,plain,
op(e1,e1) = e1,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c518,plain,
op(e2,e2) = e2,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c519,plain,
op(e3,e3) = e3,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c520,plain,
op(e4,e4) = e4,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c521,plain,
op(e5,e5) = e5,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c522,plain,
op(e6,e6) = e6,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c524,plain,
( op(e2,e2) != e2
| op(e0,e0) != e0
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e5,e5) != e5
| op(e6,e6) != e6
| op(e1,e1) != e1 ),
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
| e0 != e0 ),
inference(demodulation,[status(thm)],[c524,c516]) ).
cnf(d1,plain,
( op(e1,e1) != e1
| op(e4,e4) != e4
| op(e2,e2) != e2
| op(e3,e3) != e3
| op(e6,e6) != e6
| e5 != e5
| e0 != e0 ),
inference(demodulation,[status(thm)],[d0,c521]) ).
cnf(d2,plain,
( op(e1,e1) != e1
| op(e4,e4) != e4
| op(e2,e2) != e2
| op(e3,e3) != e3
| e6 != e6
| e5 != e5
| e0 != e0 ),
inference(demodulation,[status(thm)],[d1,c522]) ).
cnf(d3,plain,
( op(e1,e1) != e1
| op(e4,e4) != e4
| op(e2,e2) != e2
| e3 != e3
| e6 != e6
| e5 != e5
| e0 != e0 ),
inference(demodulation,[status(thm)],[d2,c519]) ).
cnf(d4,plain,
( op(e1,e1) != e1
| op(e4,e4) != e4
| e2 != e2
| e3 != e3
| e6 != e6
| e5 != e5
| e0 != e0 ),
inference(demodulation,[status(thm)],[d3,c518]) ).
cnf(d5,plain,
( op(e1,e1) != e1
| e4 != e4
| e2 != e2
| e3 != e3
| e6 != e6
| e5 != e5
| e0 != e0 ),
inference(demodulation,[status(thm)],[d4,c520]) ).
cnf(d6,plain,
( e1 != e1
| e4 != e4
| e2 != e2
| e3 != e3
| e6 != e6
| e5 != e5
| e0 != e0 ),
inference(demodulation,[status(thm)],[d5,c517]) ).
cnf(d7,plain,
( e4 != e4
| e2 != e2
| e3 != e3
| e6 != e6
| e5 != e5
| e0 != e0 ),
inference(equality_resolution,[status(thm)],[d6]) ).
cnf(d8,plain,
( e2 != e2
| e3 != e3
| e6 != e6
| e5 != e5
| e0 != e0 ),
inference(equality_resolution,[status(thm)],[d7]) ).
cnf(d9,plain,
( e3 != e3
| e6 != e6
| e5 != e5
| e0 != e0 ),
inference(equality_resolution,[status(thm)],[d8]) ).
cnf(d10,plain,
( e6 != e6
| e5 != e5
| e0 != e0 ),
inference(equality_resolution,[status(thm)],[d9]) ).
cnf(d11,plain,
( e5 != e5
| e0 != e0 ),
inference(equality_resolution,[status(thm)],[d10]) ).
cnf(d12,plain,
e0 != e0,
inference(equality_resolution,[status(thm)],[d11]) ).
cnf(d13,plain,
$false,
inference(equality_resolution,[status(thm)],[d12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG200+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.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 21:25:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.75/3.22 % SZS status Theorem for theBenchmark.p
% 20.75/3.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------