%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC352-1 : 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 : n018.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 08:55:05 AM UTC 2026
% Result : Unsatisfiable 20.73s 3.09s
% Output : CNFRefutation 20.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 19 unt; 2 nHn; 30 RR)
% Number of literals : 46 ( 16 equ; 22 neg)
% Maximal clause size : 4 ( 1 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_4,negated_conjecture,
ssList(sk4) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
~ frontsegP(sk2,sk1) ).
cnf(co1_8,negated_conjecture,
( nil != sk4
| nil = sk3 ) ).
cnf(co1_10,negated_conjecture,
( frontsegP(sk4,sk3)
| ~ neq(sk4,nil) ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause60,axiom,
( frontsegP(X0,nil)
| ~ ssList(X0) ) ).
cnf(clause100,axiom,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(c3,plain,
ssList(sk4),
inference(clausification,[status(esa)],[co1_4]) ).
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(sk2,sk1),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( nil != sk4
| nil = sk3 ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c9,plain,
( frontsegP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c17,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c69,plain,
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause60]) ).
cnf(c109,plain,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause100]) ).
cnf(d0,plain,
~ frontsegP(sk4,sk1),
inference(demodulation,[status(thm)],[c6,c4]) ).
cnf(d1,plain,
~ frontsegP(sk4,sk3),
inference(demodulation,[status(thm)],[d0,c5]) ).
cnf(d2,plain,
~ neq(sk4,nil),
inference(resolution,[status(thm)],[d1,c9]) ).
cnf(d3,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| sk4 = nil ),
inference(resolution,[status(thm)],[c109,d2]) ).
cnf(d4,plain,
( ~ ssList(nil)
| sk4 = nil ),
inference(resolution,[status(thm)],[c3,d3]) ).
cnf(d5,plain,
sk4 = nil,
inference(resolution,[status(thm)],[c17,d4]) ).
cnf(d6,plain,
( nil != nil
| nil = sk3 ),
inference(demodulation,[status(thm)],[c7,d5]) ).
cnf(d7,plain,
nil = sk3,
inference(equality_resolution,[status(thm)],[d6]) ).
cnf(d8,plain,
~ frontsegP(nil,sk3),
inference(demodulation,[status(thm)],[d1,d5]) ).
cnf(d9,plain,
~ frontsegP(nil,nil),
inference(demodulation,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
~ ssList(nil),
inference(resolution,[status(thm)],[d9,c69]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[c17,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC352-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 12:54:21 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.73/3.09 % SZS status Unsatisfiable for theBenchmark.p
% 20.73/3.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------