%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC006-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 08:53:54 AM UTC 2026
% Result : Unsatisfiable 26.51s 4.31s
% Output : CNFRefutation 26.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 18 unt; 0 nHn; 25 RR)
% Number of literals : 47 ( 25 equ; 30 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
( app(X0,X2) != sk1
| app(app(X0,X1),X2) != sk2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(co1_8,negated_conjecture,
ssList(sk5) ).
cnf(co1_9,negated_conjecture,
ssList(sk6) ).
cnf(co1_10,negated_conjecture,
ssList(sk7) ).
cnf(co1_11,negated_conjecture,
app(app(sk5,sk6),sk7) = sk4 ).
cnf(co1_12,negated_conjecture,
app(sk5,sk7) = sk3 ).
cnf(c4,plain,
sk2 = sk4,
inference(clausification,[status(esa)],[co1_5]) ).
cnf(c5,plain,
sk1 = sk3,
inference(clausification,[status(esa)],[co1_6]) ).
cnf(c6,plain,
( ~ ssList(X1)
| app(X1,X0) != sk1
| ~ ssList(X2)
| app(app(X1,X2),X0) != sk2
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
ssList(sk5),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
ssList(sk6),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
ssList(sk7),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c10,plain,
app(app(sk5,sk6),sk7) = sk4,
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
app(sk5,sk7) = sk3,
inference(clausification,[status(esa)],[co1_12]) ).
cnf(d0,plain,
app(sk5,sk7) = sk1,
inference(demodulation,[status(thm)],[c11,c5]) ).
cnf(d1,plain,
app(app(sk5,sk6),sk7) = sk2,
inference(demodulation,[status(thm)],[c10,c4]) ).
cnf(d2,plain,
( ~ ssList(sk5)
| ~ ssList(sk7)
| ~ ssList(sk6)
| app(sk5,sk7) != sk1
| sk2 != sk2 ),
inference(superposition,[status(thm)],[d1,c6]) ).
cnf(d3,plain,
( ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(sk5)
| sk1 != sk1
| sk2 != sk2 ),
inference(demodulation,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( ~ ssList(sk7)
| ~ ssList(sk5)
| sk1 != sk1
| sk2 != sk2 ),
inference(resolution,[status(thm)],[c8,d3]) ).
cnf(d5,plain,
( ~ ssList(sk7)
| sk2 != sk2
| sk1 != sk1 ),
inference(resolution,[status(thm)],[c7,d4]) ).
cnf(d6,plain,
( sk2 != sk2
| sk1 != sk1 ),
inference(resolution,[status(thm)],[c9,d5]) ).
cnf(d7,plain,
sk1 != sk1,
inference(equality_resolution,[status(thm)],[d6]) ).
cnf(d8,plain,
$false,
inference(equality_resolution,[status(thm)],[d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC006-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n005.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sat Sep 26 12:02:46 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.51/4.31 % SZS status Unsatisfiable for theBenchmark.p
% 26.51/4.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------