%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC279-1 : 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 : 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 08:54:51 AM UTC 2026
% Result : Unsatisfiable 45.59s 6.27s
% Output : CNFRefutation 45.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of clauses : 46 ( 17 unt; 5 nHn; 46 RR)
% Number of literals : 136 ( 18 equ; 88 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
( ~ memberP(X2,X3)
| leq(X0,X3)
| ~ ssItem(X3)
| app(app(X1,cons(X0,nil)),X2) != sk3
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ) ).
cnf(co1_8,negated_conjecture,
( ~ memberP(X1,X3)
| leq(X3,X0)
| ~ ssItem(X3)
| 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,
ssItem(sk8) ).
cnf(co1_14,negated_conjecture,
( memberP(sk7,sk8)
| memberP(sk6,sk8) ) ).
cnf(co1_15,negated_conjecture,
( ~ leq(sk5,sk8)
| memberP(sk6,sk8) ) ).
cnf(co1_16,negated_conjecture,
( memberP(sk7,sk8)
| ~ leq(sk8,sk5) ) ).
cnf(co1_17,negated_conjecture,
( ~ leq(sk5,sk8)
| ~ leq(sk8,sk5) ) ).
cnf(c5,plain,
sk1 = sk3,
inference(clausification,[status(esa)],[co1_6]) ).
cnf(c6,plain,
( app(app(X3,cons(X2,nil)),X0) != sk3
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(X1)
| leq(X2,X1)
| ~ memberP(X0,X1) ),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( leq(X1,X2)
| app(app(X0,cons(X2,nil)),X3) != sk3
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ memberP(X0,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,
ssItem(sk8),
inference(clausification,[status(esa)],[co1_13]) ).
cnf(c13,plain,
( memberP(sk7,sk8)
| memberP(sk6,sk8) ),
inference(clausification,[status(esa)],[co1_14]) ).
cnf(c14,plain,
( ~ leq(sk5,sk8)
| memberP(sk6,sk8) ),
inference(clausification,[status(esa)],[co1_15]) ).
cnf(c15,plain,
( memberP(sk7,sk8)
| ~ leq(sk8,sk5) ),
inference(clausification,[status(esa)],[co1_16]) ).
cnf(c16,plain,
( ~ leq(sk5,sk8)
| ~ leq(sk8,sk5) ),
inference(clausification,[status(esa)],[co1_17]) ).
cnf(d0,plain,
( leq(X1,X3)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ memberP(X2,X3)
| ~ ssList(X2)
| ~ ssList(X0)
| app(app(X0,cons(X1,nil)),X2) != sk1 ),
inference(demodulation,[status(thm)],[c6,c5]) ).
cnf(d1,plain,
( leq(sk5,X0)
| ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ memberP(sk7,X0)
| ~ ssList(sk7)
| ~ ssList(sk6)
| sk1 != sk1 ),
inference(superposition,[status(thm)],[c11,d0]) ).
cnf(d2,plain,
( leq(sk5,X0)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(sk7)
| sk1 != sk1 ),
inference(resolution,[status(thm)],[c9,d1]) ).
cnf(d3,plain,
( leq(sk5,X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(sk7)
| sk1 != sk1 ),
inference(resolution,[status(thm)],[c8,d2]) ).
cnf(d4,plain,
( leq(sk5,X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| sk1 != sk1 ),
inference(resolution,[status(thm)],[c10,d3]) ).
cnf(d5,plain,
( leq(sk5,X0)
| ~ ssItem(X0)
| ~ memberP(sk7,X0) ),
inference(equality_resolution,[status(thm)],[d4]) ).
cnf(d6,plain,
( leq(X3,X1)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ memberP(X0,X3)
| ~ ssList(X2)
| ~ ssList(X0)
| app(app(X0,cons(X1,nil)),X2) != sk1 ),
inference(demodulation,[status(thm)],[c7,c5]) ).
cnf(d7,plain,
( leq(X0,sk5)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ memberP(sk6,X0)
| ~ ssList(sk7)
| ~ ssList(sk6)
| sk1 != sk1 ),
inference(superposition,[status(thm)],[c11,d6]) ).
cnf(d8,plain,
( leq(X0,sk5)
| ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ memberP(sk6,X0)
| ~ ssList(sk7)
| sk1 != sk1 ),
inference(resolution,[status(thm)],[c9,d7]) ).
cnf(d9,plain,
( leq(X0,sk5)
| ~ ssItem(X0)
| ~ memberP(sk6,X0)
| ~ ssList(sk7)
| sk1 != sk1 ),
inference(resolution,[status(thm)],[c8,d8]) ).
cnf(d10,plain,
( leq(X0,sk5)
| ~ ssItem(X0)
| ~ memberP(sk6,X0)
| sk1 != sk1 ),
inference(resolution,[status(thm)],[c10,d9]) ).
cnf(d11,plain,
( leq(X0,sk5)
| ~ ssItem(X0)
| ~ memberP(sk6,X0) ),
inference(equality_resolution,[status(thm)],[d10]) ).
cnf(d12,plain,
( memberP(sk6,sk8)
| leq(sk5,sk8)
| ~ ssItem(sk8) ),
inference(resolution,[status(thm)],[d5,c13]) ).
cnf(d13,plain,
( leq(sk5,sk8)
| memberP(sk6,sk8) ),
inference(resolution,[status(thm)],[c12,d12]) ).
cnf(d14,plain,
( memberP(sk6,sk8)
| memberP(sk6,sk8) ),
inference(resolution,[status(thm)],[d13,c14]) ).
cnf(d15,plain,
( leq(sk8,sk5)
| ~ ssItem(sk8) ),
inference(resolution,[status(thm)],[d14,d11]) ).
cnf(d16,plain,
leq(sk8,sk5),
inference(resolution,[status(thm)],[c12,d15]) ).
cnf(d17,plain,
memberP(sk7,sk8),
inference(resolution,[status(thm)],[d16,c15]) ).
cnf(d18,plain,
( leq(sk5,sk8)
| ~ ssItem(sk8) ),
inference(resolution,[status(thm)],[d17,d5]) ).
cnf(d19,plain,
leq(sk5,sk8),
inference(resolution,[status(thm)],[c12,d18]) ).
cnf(d20,plain,
~ leq(sk5,sk8),
inference(resolution,[status(thm)],[d16,c16]) ).
cnf(d21,plain,
$false,
inference(resolution,[status(thm)],[d20,d19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC279-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n016.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
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 12:45:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 45.59/6.27 % SZS status Unsatisfiable for theBenchmark.p
% 45.59/6.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------