%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC009-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/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 08:53:55 AM UTC 2026
% Result : Unsatisfiable 35.02s 5.73s
% Output : CNFRefutation 35.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 18 unt; 0 nHn; 30 RR)
% Number of literals : 62 ( 31 equ; 43 neg)
% Maximal clause size : 5 ( 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; 6 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_3,negated_conjecture,
ssList(sk3) ).
cnf(co1_4,negated_conjecture,
ssList(sk4) ).
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,
app(sk3,sk5) = sk4 ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause73,axiom,
( app(X0,nil) = X0
| ~ ssList(X0) ) ).
cnf(c2,plain,
ssList(sk3),
inference(clausification,[status(esa)],[co1_3]) ).
cnf(c3,plain,
ssList(sk4),
inference(clausification,[status(esa)],[co1_4]) ).
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,
app(sk3,sk5) = sk4,
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c19,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c84,plain,
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause73]) ).
cnf(d0,plain,
app(sk3,nil) = sk3,
inference(resolution,[status(thm)],[c84,c2]) ).
cnf(d1,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X2),X1) != sk2
| app(X0,X1) != sk3 ),
inference(demodulation,[status(thm)],[c6,c5]) ).
cnf(d2,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X2),X1) != sk4
| app(X0,X1) != sk3 ),
inference(demodulation,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
( ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(sk5)
| app(sk3,X0) != sk3
| app(sk4,X0) != sk4 ),
inference(superposition,[status(thm)],[c8,d2]) ).
cnf(d4,plain,
( ~ ssList(sk3)
| ~ ssList(X0)
| app(sk4,X0) != sk4
| app(sk3,X0) != sk3 ),
inference(resolution,[status(thm)],[c7,d3]) ).
cnf(d5,plain,
( ~ ssList(X0)
| app(sk4,X0) != sk4
| app(sk3,X0) != sk3 ),
inference(resolution,[status(thm)],[c2,d4]) ).
cnf(d6,plain,
app(sk4,nil) = sk4,
inference(resolution,[status(thm)],[c84,c3]) ).
cnf(d7,plain,
( ~ ssList(nil)
| app(sk3,nil) != sk3
| sk4 != sk4 ),
inference(superposition,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
( ~ ssList(nil)
| sk3 != sk3
| sk4 != sk4 ),
inference(demodulation,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
( sk3 != sk3
| sk4 != sk4 ),
inference(resolution,[status(thm)],[c19,d8]) ).
cnf(d10,plain,
sk3 != sk3,
inference(equality_resolution,[status(thm)],[d9]) ).
cnf(d11,plain,
$false,
inference(equality_resolution,[status(thm)],[d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC009-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.38 % Computer : n005.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sat Sep 26 12:03:18 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 35.02/5.73 % SZS status Unsatisfiable for theBenchmark.p
% 35.02/5.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------