%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC131-1 : 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 : 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 08:54:23 AM UTC 2026
% Result : Unsatisfiable 7.82s 5.27s
% Output : CNFRefutation 7.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 16 unt; 2 nHn; 20 RR)
% Number of literals : 29 ( 7 equ; 13 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 : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_2,negated_conjecture,
ssList(sk2) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_7,negated_conjecture,
~ neq(sk4,nil) ).
cnf(co1_8,negated_conjecture,
~ cyclefreeP(sk2) ).
cnf(clause7,axiom,
cyclefreeP(nil) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause100,axiom,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(c1,plain,
ssList(sk2),
inference(clausification,[status(esa)],[co1_2]) ).
cnf(c4,plain,
sk2 = sk4,
inference(clausification,[status(esa)],[co1_5]) ).
cnf(c6,plain,
~ neq(sk4,nil),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
~ cyclefreeP(sk2),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c14,plain,
cyclefreeP(nil),
inference(clausification,[status(esa)],[clause7]) ).
cnf(c15,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c107,plain,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause100]) ).
cnf(d0,plain,
~ neq(sk2,nil),
inference(demodulation,[status(thm)],[c6,c4]) ).
cnf(d1,plain,
( ~ ssList(nil)
| ~ ssList(sk2)
| sk2 = nil ),
inference(resolution,[status(thm)],[c107,d0]) ).
cnf(d2,plain,
( ~ ssList(nil)
| sk2 = nil ),
inference(resolution,[status(thm)],[c1,d1]) ).
cnf(d3,plain,
sk2 = nil,
inference(resolution,[status(thm)],[c15,d2]) ).
cnf(d4,plain,
~ cyclefreeP(nil),
inference(demodulation,[status(thm)],[c7,d3]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c14,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC131-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.44 % Computer : n019.cluster.edu
% 0.11/0.44 % Model : x86_64 x86_64
% 0.11/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.44 % Memory : 8046.5625MB
% 0.11/0.44 % OS : Linux 6.8.0-71-generic
% 0.11/0.44 % CPULimit : 300
% 0.11/0.44 % WCLimit : 300
% 0.11/0.44 % DateTime : Sat Sep 26 12:19:33 UTC 2026
% 0.11/0.45 % CPUTime :
% 0.11/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.82/5.27 % SZS status Unsatisfiable for theBenchmark.p
% 7.82/5.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------