%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC402-1 : 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 : n015.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 08:55:16 AM UTC 2026
% Result : Unsatisfiable 126.08s 20.32s
% Output : CNFRefutation 126.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 37 ( 22 unt; 0 nHn; 37 RR)
% Number of literals : 87 ( 6 equ; 53 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_3,negated_conjecture,
ssList(sk3) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
ssList(sk5) ).
cnf(co1_8,negated_conjecture,
ssList(sk6) ).
cnf(co1_9,negated_conjecture,
app(app(sk5,sk3),sk6) = sk4 ).
cnf(co1_13,negated_conjecture,
ssItem(sk7) ).
cnf(co1_14,negated_conjecture,
memberP(sk1,sk7) ).
cnf(co1_15,negated_conjecture,
~ memberP(sk2,sk7) ).
cnf(clause85,axiom,
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(clause140,axiom,
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1) ) ).
cnf(clause141,axiom,
( memberP(app(X2,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ) ).
cnf(c2,plain,
ssList(sk3),
inference(clausification,[status(esa)],[co1_3]) ).
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(sk5),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
ssList(sk6),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
app(app(sk5,sk3),sk6) = sk4,
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c12,plain,
ssItem(sk7),
inference(clausification,[status(esa)],[co1_13]) ).
cnf(c13,plain,
memberP(sk1,sk7),
inference(clausification,[status(esa)],[co1_14]) ).
cnf(c14,plain,
~ memberP(sk2,sk7),
inference(clausification,[status(esa)],[co1_15]) ).
cnf(c100,plain,
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause85]) ).
cnf(c155,plain,
( ~ ssItem(X2)
| ~ ssList(X1)
| ~ memberP(X0,X2)
| memberP(app(X0,X1),X2)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause140]) ).
cnf(c156,plain,
( ~ memberP(X1,X2)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| memberP(app(X0,X1),X2) ),
inference(clausification,[status(esa)],[clause141]) ).
cnf(d0,plain,
memberP(sk3,sk7),
inference(demodulation,[status(thm)],[c13,c5]) ).
cnf(d1,plain,
( ~ memberP(app(sk5,sk3),X0)
| ~ ssItem(X0)
| ~ ssList(app(sk5,sk3))
| ~ ssList(sk6)
| memberP(sk4,X0) ),
inference(superposition,[status(thm)],[c8,c155]) ).
cnf(d2,plain,
( ~ memberP(app(sk5,sk3),X0)
| memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(app(sk5,sk3)) ),
inference(resolution,[status(thm)],[c7,d1]) ).
cnf(d3,plain,
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(sk3)
| ~ ssList(sk5)
| memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssList(app(sk5,sk3)) ),
inference(resolution,[status(thm)],[d2,c156]) ).
cnf(d4,plain,
( memberP(sk4,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(app(sk5,sk3))
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[c2,d3]) ).
cnf(d5,plain,
( memberP(sk4,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(app(sk5,sk3)) ),
inference(resolution,[status(thm)],[c6,d4]) ).
cnf(d6,plain,
( ~ ssList(sk5)
| ~ ssList(sk3)
| memberP(sk4,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[d5,c100]) ).
cnf(d7,plain,
( memberP(sk4,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[c2,d6]) ).
cnf(d8,plain,
( memberP(sk4,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c6,d7]) ).
cnf(d9,plain,
( memberP(sk4,sk7)
| ~ ssItem(sk7) ),
inference(resolution,[status(thm)],[d8,d0]) ).
cnf(d10,plain,
memberP(sk4,sk7),
inference(resolution,[status(thm)],[c12,d9]) ).
cnf(d11,plain,
~ memberP(sk4,sk7),
inference(demodulation,[status(thm)],[c14,c4]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d11,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC402-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sat Sep 26 13:01:58 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 126.08/20.32 % SZS status Unsatisfiable for theBenchmark.p
% 126.08/20.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------