%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC372-1 : 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 : n009.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 08:55:09 AM UTC 2026
% Result : Unsatisfiable 84.22s 12.60s
% Output : CNFRefutation 84.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 18 unt; 0 nHn; 30 RR)
% Number of literals : 65 ( 8 equ; 39 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 21 ( 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,
app(sk3,sk5) = sk4 ).
cnf(co1_11,negated_conjecture,
~ segmentP(sk2,sk1) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause57,axiom,
( segmentP(X0,X0)
| ~ ssList(X0) ) ).
cnf(clause74,axiom,
( app(nil,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,
app(sk3,sk5) = sk4,
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c10,plain,
~ segmentP(sk2,sk1),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c19,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c68,plain,
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause57]) ).
cnf(c85,plain,
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause74]) ).
cnf(c183,plain,
( ~ ssList(X3)
| ~ segmentP(X1,X3)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(app(app(X0,X1),X2),X3) ),
inference(clausification,[status(esa)],[clause172]) ).
cnf(d0,plain,
( ~ ssList(X0)
| ~ segmentP(X0,X2)
| ~ ssList(X2)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,X1),X2) ),
inference(superposition,[status(thm)],[c85,c183]) ).
cnf(d1,plain,
( segmentP(app(X2,X1),X0)
| ~ segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c19,d0]) ).
cnf(d2,plain,
( ~ segmentP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(sk5)
| ~ ssList(sk3)
| segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c7,d1]) ).
cnf(d3,plain,
( segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ ssList(sk5)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c2,d2]) ).
cnf(d4,plain,
( segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c6,d3]) ).
cnf(d5,plain,
( ~ ssList(sk3)
| segmentP(sk4,sk3)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[d4,c68]) ).
cnf(d6,plain,
segmentP(sk4,sk3),
inference(resolution,[status(thm)],[c2,d5]) ).
cnf(d7,plain,
~ segmentP(sk4,sk1),
inference(demodulation,[status(thm)],[c10,c4]) ).
cnf(d8,plain,
~ segmentP(sk4,sk3),
inference(demodulation,[status(thm)],[d7,c5]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC372-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n009.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sat Sep 26 12:53:59 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 84.22/12.60 % SZS status Unsatisfiable for theBenchmark.p
% 84.22/12.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------