%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC153-1 : 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 : n007.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 08:54:28 AM UTC 2026
% Result : Unsatisfiable 10.42s 6.97s
% Output : CNFRefutation 10.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of clauses : 62 ( 24 unt; 0 nHn; 62 RR)
% Number of literals : 239 ( 32 equ; 181 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_6,negated_conjecture,
sk3 = sk1 ).
cnf(co1_7,negated_conjecture,
( leq(X0,X1)
| ~ leq(X1,X0)
| app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4) != sk3
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ).
cnf(co1_8,negated_conjecture,
( leq(X0,X5)
| ~ memberP(X3,X5)
| ~ ssItem(X5)
| ~ leq(X1,X0)
| app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4) != sk3
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ).
cnf(co1_9,negated_conjecture,
( leq(X5,X1)
| ~ memberP(X3,X5)
| ~ ssItem(X5)
| ~ leq(X1,X0)
| app(app(app(app(X2,cons(X0,nil)),X3),cons(X1,nil)),X4) != sk3
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ).
cnf(co1_10,negated_conjecture,
ssItem(sk5) ).
cnf(co1_11,negated_conjecture,
ssItem(sk6) ).
cnf(co1_12,negated_conjecture,
ssList(sk7) ).
cnf(co1_13,negated_conjecture,
ssList(sk8) ).
cnf(co1_14,negated_conjecture,
ssList(sk9) ).
cnf(co1_15,negated_conjecture,
app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1 ).
cnf(co1_16,negated_conjecture,
leq(sk6,sk5) ).
cnf(co1_17,negated_conjecture,
( ~ leq(sk5,sk6)
| ssItem(sk10) ) ).
cnf(co1_18,negated_conjecture,
( ~ leq(sk5,sk6)
| memberP(sk8,sk10) ) ).
cnf(co1_19,negated_conjecture,
( ~ leq(sk5,sk6)
| ~ leq(sk5,sk10)
| ~ leq(sk10,sk6) ) ).
cnf(c5,plain,
sk3 = sk1,
inference(clausification,[status(esa)],[co1_6]) ).
cnf(c6,plain,
( ~ ssItem(X4)
| ~ leq(X1,X4)
| leq(X4,X1)
| app(app(app(app(X0,cons(X4,nil)),X3),cons(X1,nil)),X2) != sk3
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( ~ ssItem(X2)
| ~ ssList(X5)
| leq(X0,X2)
| app(app(app(app(X5,cons(X0,nil)),X1),cons(X3,nil)),X4) != sk3
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(X1)
| ~ leq(X3,X0)
| ~ memberP(X1,X2)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
( ~ ssItem(X4)
| app(app(app(app(X2,cons(X4,nil)),X0),cons(X3,nil)),X5) != sk3
| ~ ssList(X5)
| ~ leq(X3,X4)
| ~ memberP(X0,X1)
| leq(X1,X3)
| ~ ssItem(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
ssItem(sk5),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c10,plain,
ssItem(sk6),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
ssList(sk7),
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c12,plain,
ssList(sk8),
inference(clausification,[status(esa)],[co1_13]) ).
cnf(c13,plain,
ssList(sk9),
inference(clausification,[status(esa)],[co1_14]) ).
cnf(c14,plain,
app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
inference(clausification,[status(esa)],[co1_15]) ).
cnf(c15,plain,
leq(sk6,sk5),
inference(clausification,[status(esa)],[co1_16]) ).
cnf(c16,plain,
( ~ leq(sk5,sk6)
| ssItem(sk10) ),
inference(clausification,[status(esa)],[co1_17]) ).
cnf(c17,plain,
( ~ leq(sk5,sk6)
| memberP(sk8,sk10) ),
inference(clausification,[status(esa)],[co1_18]) ).
cnf(c18,plain,
( ~ leq(sk5,sk6)
| ~ leq(sk5,sk10)
| ~ leq(sk10,sk6) ),
inference(clausification,[status(esa)],[co1_19]) ).
cnf(d0,plain,
app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk3,
inference(demodulation,[status(thm)],[c14,c5]) ).
cnf(d1,plain,
( ~ ssItem(sk5)
| ~ ssItem(sk6)
| leq(sk5,sk6)
| ~ leq(sk6,sk5)
| ~ ssList(sk7)
| ~ ssList(sk8)
| ~ ssList(sk9)
| sk3 != sk3 ),
inference(superposition,[status(thm)],[d0,c6]) ).
cnf(d2,plain,
( ~ ssItem(sk5)
| ~ leq(sk6,sk5)
| leq(sk5,sk6)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ ssList(sk7)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c10,d1]) ).
cnf(d3,plain,
( ~ leq(sk6,sk5)
| leq(sk5,sk6)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ ssList(sk7)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c9,d2]) ).
cnf(d4,plain,
( ~ leq(sk6,sk5)
| leq(sk5,sk6)
| ~ ssList(sk9)
| ~ ssList(sk8)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c11,d3]) ).
cnf(d5,plain,
( ~ leq(sk6,sk5)
| leq(sk5,sk6)
| ~ ssList(sk9)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c12,d4]) ).
cnf(d6,plain,
( ~ leq(sk6,sk5)
| leq(sk5,sk6)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c13,d5]) ).
cnf(d7,plain,
( leq(sk5,sk6)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c15,d6]) ).
cnf(d8,plain,
leq(sk5,sk6),
inference(equality_resolution,[status(thm)],[d7]) ).
cnf(d9,plain,
memberP(sk8,sk10),
inference(resolution,[status(thm)],[d8,c17]) ).
cnf(d10,plain,
( ~ memberP(sk8,X0)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ leq(sk6,sk5)
| leq(sk5,X0)
| ~ ssList(sk7)
| ~ ssList(sk9)
| ~ ssList(sk8)
| sk3 != sk3 ),
inference(superposition,[status(thm)],[d0,c7]) ).
cnf(d11,plain,
( ~ memberP(sk8,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ leq(sk6,sk5)
| leq(sk5,X0)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ ssList(sk7)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c10,d10]) ).
cnf(d12,plain,
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| ~ leq(sk6,sk5)
| leq(sk5,X0)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ ssList(sk7)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c9,d11]) ).
cnf(d13,plain,
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| ~ leq(sk6,sk5)
| leq(sk5,X0)
| ~ ssList(sk9)
| ~ ssList(sk8)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c11,d12]) ).
cnf(d14,plain,
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| ~ leq(sk6,sk5)
| leq(sk5,X0)
| ~ ssList(sk9)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c12,d13]) ).
cnf(d15,plain,
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| ~ leq(sk6,sk5)
| leq(sk5,X0)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c13,d14]) ).
cnf(d16,plain,
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| leq(sk5,X0)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c15,d15]) ).
cnf(d17,plain,
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| leq(sk5,X0) ),
inference(equality_resolution,[status(thm)],[d16]) ).
cnf(d18,plain,
( ~ ssItem(sk10)
| leq(sk5,sk10) ),
inference(resolution,[status(thm)],[d17,d9]) ).
cnf(d19,plain,
ssItem(sk10),
inference(resolution,[status(thm)],[d8,c16]) ).
cnf(d20,plain,
leq(sk5,sk10),
inference(resolution,[status(thm)],[d19,d18]) ).
cnf(d21,plain,
( ~ leq(sk10,sk6)
| ~ leq(sk5,sk10) ),
inference(resolution,[status(thm)],[d8,c18]) ).
cnf(d22,plain,
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| ~ ssItem(sk6)
| ~ ssItem(sk5)
| leq(X0,sk6)
| ~ leq(sk6,sk5)
| ~ ssList(sk7)
| ~ ssList(sk9)
| ~ ssList(sk8)
| sk3 != sk3 ),
inference(superposition,[status(thm)],[d0,c8]) ).
cnf(d23,plain,
( ~ memberP(sk8,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ leq(sk6,sk5)
| leq(X0,sk6)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ ssList(sk7)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c10,d22]) ).
cnf(d24,plain,
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| ~ leq(sk6,sk5)
| leq(X0,sk6)
| ~ ssList(sk9)
| ~ ssList(sk8)
| ~ ssList(sk7)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c9,d23]) ).
cnf(d25,plain,
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| ~ leq(sk6,sk5)
| leq(X0,sk6)
| ~ ssList(sk9)
| ~ ssList(sk8)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c11,d24]) ).
cnf(d26,plain,
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| ~ leq(sk6,sk5)
| leq(X0,sk6)
| ~ ssList(sk9)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c12,d25]) ).
cnf(d27,plain,
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| ~ leq(sk6,sk5)
| leq(X0,sk6)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c13,d26]) ).
cnf(d28,plain,
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| leq(X0,sk6)
| sk3 != sk3 ),
inference(resolution,[status(thm)],[c15,d27]) ).
cnf(d29,plain,
( ~ memberP(sk8,X0)
| ~ ssItem(X0)
| leq(X0,sk6) ),
inference(equality_resolution,[status(thm)],[d28]) ).
cnf(d30,plain,
( ~ ssItem(sk10)
| leq(sk10,sk6) ),
inference(resolution,[status(thm)],[d29,d9]) ).
cnf(d31,plain,
leq(sk10,sk6),
inference(resolution,[status(thm)],[d19,d30]) ).
cnf(d32,plain,
~ leq(sk5,sk10),
inference(resolution,[status(thm)],[d31,d21]) ).
cnf(d33,plain,
$false,
inference(resolution,[status(thm)],[d32,d20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC153-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 12:20:09 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.42/6.97 % SZS status Unsatisfiable for theBenchmark.p
% 10.42/6.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------