%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC339-1 : 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 : n014.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 08:55:02 AM UTC 2026
% Result : Unsatisfiable 42.37s 5.79s
% Output : CNFRefutation 42.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 31 ( 17 unt; 0 nHn; 31 RR)
% Number of literals : 64 ( 6 equ; 39 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 14 ( 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,
ssList(sk5) ).
cnf(co1_8,negated_conjecture,
ssList(sk6) ).
cnf(co1_9,negated_conjecture,
app(app(sk5,sk3),sk6) = sk4 ).
cnf(co1_10,negated_conjecture,
totalorderedP(sk3) ).
cnf(co1_14,negated_conjecture,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) ) ).
cnf(clause57,axiom,
( segmentP(X0,X0)
| ~ ssList(X0) ) ).
cnf(clause172,axiom,
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(X0,X1) ) ).
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,
ssList(sk5),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
ssList(sk6),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
app(app(sk5,sk3),sk6) = sk4,
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
totalorderedP(sk3),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c13,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
inference(clausification,[status(esa)],[co1_14]) ).
cnf(c70,plain,
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause57]) ).
cnf(c185,plain,
( ~ ssList(X3)
| segmentP(app(app(X3,X1),X2),X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(X1,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause172]) ).
cnf(d0,plain,
( ~ segmentP(sk3,X0)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(sk5)
| ~ ssList(sk6)
| segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c8,c185]) ).
cnf(d1,plain,
( segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ ssList(sk5)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c7,d0]) ).
cnf(d2,plain,
( segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c6,d1]) ).
cnf(d3,plain,
( segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c2,d2]) ).
cnf(d4,plain,
( ~ ssList(sk3)
| segmentP(sk4,sk3)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[d3,c70]) ).
cnf(d5,plain,
segmentP(sk4,sk3),
inference(resolution,[status(thm)],[c2,d4]) ).
cnf(d6,plain,
( ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk3) ),
inference(demodulation,[status(thm)],[c13,c5]) ).
cnf(d7,plain,
( ~ segmentP(sk4,sk1)
| ~ totalorderedP(sk3) ),
inference(demodulation,[status(thm)],[d6,c4]) ).
cnf(d8,plain,
( ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3) ),
inference(demodulation,[status(thm)],[d7,c5]) ).
cnf(d9,plain,
~ segmentP(sk4,sk3),
inference(resolution,[status(thm)],[c9,d8]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC339-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Computer : n014.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8046.5625MB
% 0.13/0.36 % OS : Linux 6.8.0-71-generic
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sat Sep 26 12:49:46 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 42.37/5.79 % SZS status Unsatisfiable for theBenchmark.p
% 42.37/5.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------