%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC185-1 : 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 : n014.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 08:54:33 AM UTC 2026
% Result : Unsatisfiable 16.64s 5.55s
% Output : CNFRefutation 16.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 29 ( 15 unt; 2 nHn; 29 RR)
% Number of literals : 67 ( 17 equ; 50 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
( ~ memberP(X1,X0)
| app(app(X1,cons(X0,nil)),X2) != sk3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ) ).
cnf(co1_8,negated_conjecture,
( ~ memberP(X2,X0)
| app(app(X1,cons(X0,nil)),X2) != sk3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ) ).
cnf(co1_9,negated_conjecture,
ssItem(sk5) ).
cnf(co1_10,negated_conjecture,
ssList(sk6) ).
cnf(co1_11,negated_conjecture,
ssList(sk7) ).
cnf(co1_12,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1 ).
cnf(co1_13,negated_conjecture,
( memberP(sk7,sk5)
| memberP(sk6,sk5) ) ).
cnf(c5,plain,
sk1 = sk3,
inference(clausification,[status(esa)],[co1_6]) ).
cnf(c6,plain,
( ~ ssItem(X2)
| ~ memberP(X1,X2)
| app(app(X1,cons(X2,nil)),X0) != sk3
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( ~ ssList(X2)
| app(app(X2,cons(X1,nil)),X0) != sk3
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
ssItem(sk5),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
ssList(sk6),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c10,plain,
ssList(sk7),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c12,plain,
( memberP(sk7,sk5)
| memberP(sk6,sk5) ),
inference(clausification,[status(esa)],[co1_13]) ).
cnf(d0,plain,
app(app(sk6,cons(sk5,nil)),sk7) = sk3,
inference(demodulation,[status(thm)],[c11,c5]) ).
cnf(d1,plain,
( ~ ssItem(sk5)
| ~ memberP(sk7,sk5)
| ~ ssList(sk6)
| ~ ssList(sk7)
| sk3 != sk3 ),
inference(superposition,[status(thm)],[d0,c7]) ).
cnf(d2,plain,
( ~ ssItem(sk5)
| ~ memberP(sk7,sk5)
| ~ ssList(sk7)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c9,d1]) ).
cnf(d3,plain,
( ~ memberP(sk7,sk5)
| ~ ssList(sk7)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c8,d2]) ).
cnf(d4,plain,
( ~ memberP(sk7,sk5)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c10,d3]) ).
cnf(d5,plain,
~ memberP(sk7,sk5),
inference(equality_resolution,[status(thm)],[d4]) ).
cnf(d6,plain,
( ~ ssItem(sk5)
| ~ memberP(sk6,sk5)
| ~ ssList(sk6)
| ~ ssList(sk7)
| sk3 != sk3 ),
inference(superposition,[status(thm)],[d0,c6]) ).
cnf(d7,plain,
( ~ ssItem(sk5)
| ~ memberP(sk6,sk5)
| ~ ssList(sk7)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c9,d6]) ).
cnf(d8,plain,
( ~ memberP(sk6,sk5)
| ~ ssList(sk7)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c8,d7]) ).
cnf(d9,plain,
( ~ memberP(sk6,sk5)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c10,d8]) ).
cnf(d10,plain,
~ memberP(sk6,sk5),
inference(equality_resolution,[status(thm)],[d9]) ).
cnf(d11,plain,
memberP(sk7,sk5),
inference(resolution,[status(thm)],[d10,c12]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d11,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC185-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n014.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 12:27:47 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.64/5.55 % SZS status Unsatisfiable for theBenchmark.p
% 16.64/5.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------