%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC020-1 : 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 : n017.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 17.62s 4.35s
% Output : CNFRefutation 17.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of clauses : 36 ( 11 unt; 10 nHn; 36 RR)
% Number of literals : 77 ( 31 equ; 42 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 : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_3,negated_conjecture,
ssList(sk3) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
( ~ frontsegP(sk1,X0)
| ~ frontsegP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ) ).
cnf(co1_8,negated_conjecture,
( nil != sk1
| nil != sk2 ) ).
cnf(co1_9,negated_conjecture,
( neq(sk3,nil)
| nil = sk4 ) ).
cnf(co1_10,negated_conjecture,
( frontsegP(sk4,sk3)
| nil = sk4 ) ).
cnf(co1_11,negated_conjecture,
( neq(sk3,nil)
| nil = sk3 ) ).
cnf(co1_12,negated_conjecture,
( frontsegP(sk4,sk3)
| nil = sk3 ) ).
cnf(clause61,axiom,
( frontsegP(X0,X0)
| ~ ssList(X0) ) ).
cnf(c2,plain,
ssList(sk3),
inference(clausification,[status(esa)],[co1_3]) ).
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,
( ~ frontsegP(sk1,X0)
| ~ frontsegP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( nil != sk1
| nil != sk2 ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
( neq(sk3,nil)
| nil = sk4 ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
( frontsegP(sk4,sk3)
| nil = sk4 ),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c10,plain,
( neq(sk3,nil)
| nil = sk3 ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
( frontsegP(sk4,sk3)
| nil = sk3 ),
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c72,plain,
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause61]) ).
cnf(d0,plain,
( ~ neq(X0,nil)
| ~ frontsegP(sk2,X0)
| ~ frontsegP(sk3,X0)
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c6,c5]) ).
cnf(d1,plain,
( ~ neq(X0,nil)
| ~ frontsegP(sk4,X0)
| ~ frontsegP(sk3,X0)
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( ~ frontsegP(sk4,sk3)
| ~ frontsegP(sk3,sk3)
| ~ ssList(sk3)
| nil = sk3 ),
inference(resolution,[status(thm)],[c10,d1]) ).
cnf(d3,plain,
( ~ frontsegP(sk4,sk3)
| ~ frontsegP(sk3,sk3)
| nil = sk3 ),
inference(resolution,[status(thm)],[c2,d2]) ).
cnf(d4,plain,
( nil = sk3
| ~ frontsegP(sk3,sk3)
| nil = sk3 ),
inference(resolution,[status(thm)],[d3,c11]) ).
cnf(d5,plain,
( nil != sk2
| nil != sk3 ),
inference(demodulation,[status(thm)],[c7,c5]) ).
cnf(d6,plain,
( nil != sk4
| nil != sk3 ),
inference(demodulation,[status(thm)],[d5,c4]) ).
cnf(d7,plain,
( ~ frontsegP(sk4,sk3)
| ~ frontsegP(sk3,sk3)
| ~ ssList(sk3)
| nil = sk4 ),
inference(resolution,[status(thm)],[c8,d1]) ).
cnf(d8,plain,
( ~ frontsegP(sk4,sk3)
| ~ frontsegP(sk3,sk3)
| nil = sk4 ),
inference(resolution,[status(thm)],[c2,d7]) ).
cnf(d9,plain,
( nil = sk4
| ~ frontsegP(sk3,sk3)
| nil = sk4 ),
inference(resolution,[status(thm)],[d8,c9]) ).
cnf(d10,plain,
( ~ ssList(sk3)
| nil = sk4 ),
inference(resolution,[status(thm)],[d9,c72]) ).
cnf(d11,plain,
nil = sk4,
inference(resolution,[status(thm)],[c2,d10]) ).
cnf(d12,plain,
nil != sk3,
inference(resolution,[status(thm)],[d11,d6]) ).
cnf(d13,plain,
~ frontsegP(sk3,sk3),
inference(resolution,[status(thm)],[d12,d4]) ).
cnf(d14,plain,
~ ssList(sk3),
inference(resolution,[status(thm)],[d13,c72]) ).
cnf(d15,plain,
$false,
inference(resolution,[status(thm)],[c2,d14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC020-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n017.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sat Sep 26 12:00:03 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.62/4.35 % SZS status Unsatisfiable for theBenchmark.p
% 17.62/4.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------