%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC086-1 : 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 : n026.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 08:54:13 AM UTC 2026
% Result : Unsatisfiable 25.00s 3.65s
% Output : CNFRefutation 25.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 34 ( 15 unt; 5 nHn; 34 RR)
% Number of literals : 67 ( 14 equ; 37 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 : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_3,negated_conjecture,
ssList(sk3) ).
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,
neq(sk2,nil) ).
cnf(co1_8,negated_conjecture,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ) ).
cnf(co1_9,negated_conjecture,
( neq(sk3,nil)
| nil = sk4 ) ).
cnf(co1_10,negated_conjecture,
( segmentP(sk4,sk3)
| nil = sk4 ) ).
cnf(clause56,axiom,
( segmentP(X0,nil)
| ~ ssList(X0) ) ).
cnf(clause57,axiom,
( segmentP(X0,X0)
| ~ ssList(X0) ) ).
cnf(c2,plain,
ssList(sk3),
inference(clausification,[status(esa)],[co1_3]) ).
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,
neq(sk2,nil),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
( neq(sk3,nil)
| nil = sk4 ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
( segmentP(sk4,sk3)
| nil = sk4 ),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c67,plain,
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause56]) ).
cnf(c68,plain,
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause57]) ).
cnf(d0,plain,
( ~ segmentP(sk2,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c7,c5]) ).
cnf(d1,plain,
( ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( ~ segmentP(sk3,sk3)
| ~ neq(sk3,nil)
| ~ ssList(sk3)
| nil = sk4 ),
inference(resolution,[status(thm)],[c9,d1]) ).
cnf(d3,plain,
( ~ segmentP(sk3,sk3)
| ~ neq(sk3,nil)
| nil = sk4 ),
inference(resolution,[status(thm)],[c2,d2]) ).
cnf(d4,plain,
( ~ ssList(sk3)
| ~ neq(sk3,nil)
| nil = sk4 ),
inference(resolution,[status(thm)],[d3,c68]) ).
cnf(d5,plain,
( ~ neq(sk3,nil)
| nil = sk4 ),
inference(resolution,[status(thm)],[c2,d4]) ).
cnf(d6,plain,
( nil = sk4
| nil = sk4 ),
inference(resolution,[status(thm)],[d5,c8]) ).
cnf(d7,plain,
( ~ segmentP(sk3,sk4)
| ~ neq(sk4,nil)
| ~ ssList(sk4)
| ~ ssList(sk4) ),
inference(resolution,[status(thm)],[c68,d1]) ).
cnf(d8,plain,
( ~ segmentP(sk3,sk4)
| ~ neq(sk4,nil) ),
inference(resolution,[status(thm)],[c3,d7]) ).
cnf(d9,plain,
neq(sk4,nil),
inference(demodulation,[status(thm)],[c6,c4]) ).
cnf(d10,plain,
~ segmentP(sk3,sk4),
inference(resolution,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
~ segmentP(sk3,nil),
inference(demodulation,[status(thm)],[d10,d6]) ).
cnf(d12,plain,
~ ssList(sk3),
inference(resolution,[status(thm)],[d11,c67]) ).
cnf(d13,plain,
$false,
inference(resolution,[status(thm)],[c2,d12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC086-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 12:15:57 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 25.00/3.65 % SZS status Unsatisfiable for theBenchmark.p
% 25.00/3.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------