%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC037-1 : 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 : n019.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 08:54:02 AM UTC 2026
% Result : Unsatisfiable 18.12s 7.67s
% Output : CNFRefutation 18.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 32 ( 19 unt; 7 nHn; 32 RR)
% Number of literals : 52 ( 23 equ; 20 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 : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_5,negated_conjecture,
nil = sk2 ).
cnf(co1_6,negated_conjecture,
sk2 = sk4 ).
cnf(co1_7,negated_conjecture,
sk1 = sk3 ).
cnf(co1_8,negated_conjecture,
nil != sk1 ).
cnf(co1_10,negated_conjecture,
( nil = sk3
| ssList(sk5) ) ).
cnf(co1_14,negated_conjecture,
( nil = sk3
| neq(sk5,nil) ) ).
cnf(co1_15,negated_conjecture,
( nil = sk3
| segmentP(sk4,sk5) ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause80,axiom,
( nil = X0
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ).
cnf(clause115,axiom,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ) ).
cnf(c4,plain,
nil = sk2,
inference(clausification,[status(esa)],[co1_5]) ).
cnf(c5,plain,
sk2 = sk4,
inference(clausification,[status(esa)],[co1_6]) ).
cnf(c6,plain,
sk1 = sk3,
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
nil != sk1,
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c9,plain,
( nil = sk3
| ssList(sk5) ),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c13,plain,
( nil = sk3
| neq(sk5,nil) ),
inference(clausification,[status(esa)],[co1_14]) ).
cnf(c14,plain,
( nil = sk3
| segmentP(sk4,sk5) ),
inference(clausification,[status(esa)],[co1_15]) ).
cnf(c23,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c95,plain,
( nil = X0
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(clausification,[status(esa)],[clause80]) ).
cnf(c130,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ),
inference(clausification,[status(esa)],[clause115]) ).
cnf(d0,plain,
nil = sk4,
inference(demodulation,[status(thm)],[c5,c4]) ).
cnf(d1,plain,
( segmentP(nil,sk5)
| nil = sk3 ),
inference(demodulation,[status(thm)],[c14,d0]) ).
cnf(d2,plain,
nil != sk3,
inference(demodulation,[status(thm)],[c7,c6]) ).
cnf(d3,plain,
segmentP(nil,sk5),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ ssList(sk5)
| nil = sk5 ),
inference(resolution,[status(thm)],[c95,d3]) ).
cnf(d5,plain,
ssList(sk5),
inference(resolution,[status(thm)],[d2,c9]) ).
cnf(d6,plain,
nil = sk5,
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
neq(sk5,nil),
inference(resolution,[status(thm)],[d2,c13]) ).
cnf(d8,plain,
neq(nil,nil),
inference(demodulation,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
( ~ neq(X0,X0)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(equality_resolution,[status(thm)],[c130]) ).
cnf(d10,plain,
~ ssList(nil),
inference(resolution,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[c23,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC037-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n019.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Sat Sep 26 12:07:10 UTC 2026
% 0.09/5.39 % CPUTime :
% 0.09/5.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.12/7.67 % SZS status Unsatisfiable for theBenchmark.p
% 18.12/7.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------