%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC257-1 : 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 : n020.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 08:54:47 AM UTC 2026
% Result : Unsatisfiable 28.74s 4.08s
% Output : CNFRefutation 28.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 27 ( 9 unt; 12 nHn; 27 RR)
% Number of literals : 46 ( 20 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
~ totalorderedP(sk1) ).
cnf(co1_8,negated_conjecture,
( nil = sk4
| ssItem(sk5) ) ).
cnf(co1_9,negated_conjecture,
( nil = sk3
| ssItem(sk5) ) ).
cnf(co1_10,negated_conjecture,
( nil = sk4
| cons(sk5,nil) = sk3 ) ).
cnf(co1_14,negated_conjecture,
( nil = sk3
| memberP(sk4,sk5) ) ).
cnf(clause4,axiom,
totalorderedP(nil) ).
cnf(clause67,axiom,
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ) ).
cnf(clause71,axiom,
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ).
cnf(c5,plain,
sk1 = sk3,
inference(clausification,[status(esa)],[co1_6]) ).
cnf(c6,plain,
~ totalorderedP(sk1),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( nil = sk4
| ssItem(sk5) ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
( nil = sk3
| ssItem(sk5) ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
( nil = sk4
| cons(sk5,nil) = sk3 ),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c13,plain,
( nil = sk3
| memberP(sk4,sk5) ),
inference(clausification,[status(esa)],[co1_14]) ).
cnf(c18,plain,
totalorderedP(nil),
inference(clausification,[status(esa)],[clause4]) ).
cnf(c81,plain,
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[clause67]) ).
cnf(c85,plain,
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(clausification,[status(esa)],[clause71]) ).
cnf(d0,plain,
( nil = sk4
| ~ ssItem(sk5)
| totalorderedP(sk3) ),
inference(superposition,[status(thm)],[c9,c81]) ).
cnf(d1,plain,
~ totalorderedP(sk3),
inference(demodulation,[status(thm)],[c6,c5]) ).
cnf(d2,plain,
( ~ ssItem(sk5)
| nil = sk4 ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( nil = sk4
| nil = sk4 ),
inference(resolution,[status(thm)],[d2,c7]) ).
cnf(d4,plain,
( memberP(nil,sk5)
| nil = sk3 ),
inference(demodulation,[status(thm)],[c13,d3]) ).
cnf(d5,plain,
( ~ ssItem(sk5)
| nil = sk3 ),
inference(resolution,[status(thm)],[d4,c85]) ).
cnf(d6,plain,
( nil = sk3
| nil = sk3 ),
inference(resolution,[status(thm)],[d5,c8]) ).
cnf(d7,plain,
~ totalorderedP(nil),
inference(demodulation,[status(thm)],[d1,d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c18,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC257-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 12:38:34 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.74/4.08 % SZS status Unsatisfiable for theBenchmark.p
% 28.74/4.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------