%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC023-1 : 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 : n026.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 08:53:58 AM UTC 2026
% Result : Unsatisfiable 16.17s 4.44s
% Output : CNFRefutation 16.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 31 ( 12 unt; 11 nHn; 31 RR)
% Number of literals : 68 ( 21 equ; 34 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 9 ( 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) ).
cnf(co1_8,negated_conjecture,
( ~ frontsegP(sk1,X0)
| ~ frontsegP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ) ).
cnf(co1_9,negated_conjecture,
( nil = sk4
| ssList(sk5) ) ).
cnf(co1_11,negated_conjecture,
( nil = sk4
| neq(sk5,nil) ) ).
cnf(co1_12,negated_conjecture,
( nil = sk4
| frontsegP(sk4,sk5) ) ).
cnf(co1_13,negated_conjecture,
( nil = sk4
| frontsegP(sk3,sk5) ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause115,axiom,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ) ).
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(c7,plain,
( ~ frontsegP(sk1,X0)
| ~ frontsegP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
( nil = sk4
| ssList(sk5) ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c10,plain,
( nil = sk4
| neq(sk5,nil) ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
( nil = sk4
| frontsegP(sk4,sk5) ),
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c12,plain,
( nil = sk4
| frontsegP(sk3,sk5) ),
inference(clausification,[status(esa)],[co1_13]) ).
cnf(c23,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c130,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ),
inference(clausification,[status(esa)],[clause115]) ).
cnf(d0,plain,
( ~ neq(X0,X0)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(equality_resolution,[status(thm)],[c130]) ).
cnf(d1,plain,
( ~ frontsegP(sk2,X0)
| ~ frontsegP(sk3,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c7,c5]) ).
cnf(d2,plain,
( ~ frontsegP(sk4,X0)
| ~ frontsegP(sk3,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
( ~ frontsegP(sk3,sk5)
| ~ neq(sk5,nil)
| ~ ssList(sk5)
| nil = sk4 ),
inference(resolution,[status(thm)],[c11,d2]) ).
cnf(d4,plain,
( nil = sk4
| ~ neq(sk5,nil)
| ~ ssList(sk5)
| nil = sk4 ),
inference(resolution,[status(thm)],[d3,c12]) ).
cnf(d5,plain,
( nil = sk4
| ~ ssList(sk5)
| nil = sk4 ),
inference(resolution,[status(thm)],[d4,c10]) ).
cnf(d6,plain,
( nil = sk4
| nil = sk4 ),
inference(resolution,[status(thm)],[d5,c8]) ).
cnf(d7,plain,
neq(sk4,nil),
inference(demodulation,[status(thm)],[c6,c4]) ).
cnf(d8,plain,
neq(nil,nil),
inference(demodulation,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
~ ssList(nil),
inference(resolution,[status(thm)],[d8,d0]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[c23,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC023-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 12:07:41 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.17/4.44 % SZS status Unsatisfiable for theBenchmark.p
% 16.17/4.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------