%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC317-1 : 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 08:54:57 AM UTC 2026
% Result : Unsatisfiable 26.29s 18.78s
% Output : CNFRefutation 26.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of clauses : 34 ( 11 unt; 1 nHn; 34 RR)
% Number of literals : 73 ( 31 equ; 47 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ) ).
cnf(co1_14,negated_conjecture,
( ~ neq(sk4,nil)
| app(X1,cons(X0,nil)) != sk2
| app(cons(X0,nil),X1) != sk1
| ~ ssList(X1)
| ~ ssItem(X0) ) ).
cnf(co1_15,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ) ).
cnf(co1_16,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ) ).
cnf(co1_17,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk3 ) ).
cnf(co1_18,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk4 ) ).
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,
neq(sk2,nil),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c13,plain,
( app(cons(X1,nil),X0) != sk1
| ~ ssItem(X1)
| ~ ssList(X0)
| app(X0,cons(X1,nil)) != sk2
| ~ neq(sk4,nil) ),
inference(clausification,[status(esa)],[co1_14]) ).
cnf(c14,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(clausification,[status(esa)],[co1_15]) ).
cnf(c15,plain,
( ~ neq(sk4,nil)
| ssList(sk6) ),
inference(clausification,[status(esa)],[co1_16]) ).
cnf(c16,plain,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk3 ),
inference(clausification,[status(esa)],[co1_17]) ).
cnf(c17,plain,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk4 ),
inference(clausification,[status(esa)],[co1_18]) ).
cnf(d0,plain,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk2 ),
inference(demodulation,[status(thm)],[c17,c4]) ).
cnf(d1,plain,
( ~ neq(sk2,nil)
| app(sk6,cons(sk5,nil)) = sk2 ),
inference(demodulation,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
app(sk6,cons(sk5,nil)) = sk2,
inference(resolution,[status(thm)],[c6,d1]) ).
cnf(d3,plain,
( ~ ssItem(X1)
| ~ neq(sk2,nil)
| ~ ssList(X0)
| app(cons(X1,nil),X0) != sk1
| app(X0,cons(X1,nil)) != sk2 ),
inference(demodulation,[status(thm)],[c13,c4]) ).
cnf(d4,plain,
( ~ ssItem(X1)
| ~ ssList(X0)
| app(cons(X1,nil),X0) != sk1
| app(X0,cons(X1,nil)) != sk2 ),
inference(resolution,[status(thm)],[c6,d3]) ).
cnf(d5,plain,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk1 ),
inference(demodulation,[status(thm)],[c16,c5]) ).
cnf(d6,plain,
( ~ neq(sk2,nil)
| app(cons(sk5,nil),sk6) = sk1 ),
inference(demodulation,[status(thm)],[d5,c4]) ).
cnf(d7,plain,
app(cons(sk5,nil),sk6) = sk1,
inference(resolution,[status(thm)],[c6,d6]) ).
cnf(d8,plain,
( ~ ssItem(sk5)
| ~ ssList(sk6)
| app(sk6,cons(sk5,nil)) != sk2
| sk1 != sk1 ),
inference(superposition,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
( ~ ssItem(sk5)
| ~ ssList(sk6)
| sk2 != sk2
| sk1 != sk1 ),
inference(demodulation,[status(thm)],[d8,d2]) ).
cnf(d10,plain,
( ssItem(sk5)
| ~ neq(sk2,nil) ),
inference(demodulation,[status(thm)],[c14,c4]) ).
cnf(d11,plain,
ssItem(sk5),
inference(resolution,[status(thm)],[c6,d10]) ).
cnf(d12,plain,
( ~ ssList(sk6)
| sk2 != sk2
| sk1 != sk1 ),
inference(resolution,[status(thm)],[d11,d9]) ).
cnf(d13,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(demodulation,[status(thm)],[c15,c4]) ).
cnf(d14,plain,
ssList(sk6),
inference(resolution,[status(thm)],[c6,d13]) ).
cnf(d15,plain,
( sk2 != sk2
| sk1 != sk1 ),
inference(resolution,[status(thm)],[d14,d12]) ).
cnf(d16,plain,
sk1 != sk1,
inference(equality_resolution,[status(thm)],[d15]) ).
cnf(d17,plain,
$false,
inference(equality_resolution,[status(thm)],[d16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC317-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.07/15.40 % CPULimit : 300
% 0.07/15.40 % WCLimit : 300
% 0.07/15.40 % DateTime : Sat Sep 26 12:46:41 UTC 2026
% 0.07/15.40 % CPUTime :
% 0.07/15.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.29/18.78 % SZS status Unsatisfiable for theBenchmark.p
% 26.29/18.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------