%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC094-1 : 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 : n016.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 08:54:14 AM UTC 2026
% Result : Unsatisfiable 21.06s 8.21s
% Output : CNFRefutation 21.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 16 unt; 0 nHn; 26 RR)
% Number of literals : 48 ( 25 equ; 29 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_1,negated_conjecture,
ssList(sk1) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
sk4 = sk3 ).
cnf(co1_8,negated_conjecture,
( app(X0,X2) != sk2
| app(app(X0,X1),X2) != sk1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause73,axiom,
( app(X0,nil) = X0
| ~ ssList(X0) ) ).
cnf(clause74,axiom,
( app(nil,X0) = X0
| ~ ssList(X0) ) ).
cnf(c0,plain,
ssList(sk1),
inference(clausification,[status(esa)],[co1_1]) ).
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,
sk4 = sk3,
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( ~ ssList(X2)
| app(app(X2,X1),X0) != sk1
| app(X2,X0) != sk2
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c15,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c80,plain,
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause73]) ).
cnf(c81,plain,
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause74]) ).
cnf(d0,plain,
sk2 = sk3,
inference(demodulation,[status(thm)],[c6,c4]) ).
cnf(d1,plain,
sk2 = sk1,
inference(demodulation,[status(thm)],[d0,c5]) ).
cnf(d2,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X2),X1) != sk1
| app(X0,X1) != sk1 ),
inference(demodulation,[status(thm)],[c7,d1]) ).
cnf(d3,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[c80,c15]) ).
cnf(d4,plain,
( ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(nil)
| app(nil,X0) != sk1
| app(nil,X0) != sk1 ),
inference(superposition,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( ~ ssList(X0)
| app(nil,X0) != sk1 ),
inference(resolution,[status(thm)],[c15,d4]) ).
cnf(d6,plain,
app(nil,sk1) = sk1,
inference(resolution,[status(thm)],[c81,c0]) ).
cnf(d7,plain,
( ~ ssList(sk1)
| sk1 != sk1 ),
inference(superposition,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
sk1 != sk1,
inference(resolution,[status(thm)],[c0,d7]) ).
cnf(d9,plain,
$false,
inference(equality_resolution,[status(thm)],[d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC094-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.65 % Computer : n016.cluster.edu
% 0.18/5.65 % Model : x86_64 x86_64
% 0.18/5.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.65 % Memory : 8046.5625MB
% 0.18/5.65 % OS : Linux 6.8.0-71-generic
% 0.18/5.65 % CPULimit : 300
% 0.18/5.65 % WCLimit : 300
% 0.18/5.65 % DateTime : Sat Sep 26 12:18:54 UTC 2026
% 0.18/5.65 % CPUTime :
% 0.18/5.65 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 21.06/8.21 % SZS status Unsatisfiable for theBenchmark.p
% 21.06/8.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------