%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC047-1 : 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 : n001.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 08:54:05 AM UTC 2026
% Result : Unsatisfiable 9.04s 13.32s
% Output : CNFRefutation 9.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 32 ( 16 unt; 3 nHn; 32 RR)
% Number of literals : 64 ( 22 equ; 33 neg)
% Maximal clause size : 5 ( 2 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 : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_2,negated_conjecture,
ssList(sk2) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
sk4 = sk3 ).
cnf(co1_8,negated_conjecture,
( neq(sk2,nil)
| nil = sk2 ) ).
cnf(co1_9,negated_conjecture,
( ~ rearsegP(sk1,X0)
| ~ rearsegP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil = sk2 ) ).
cnf(co1_10,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause59,axiom,
( rearsegP(X0,X0)
| ~ ssList(X0) ) ).
cnf(clause115,axiom,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ) ).
cnf(c1,plain,
ssList(sk2),
inference(clausification,[status(esa)],[co1_2]) ).
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,
sk4 = sk3,
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( neq(sk2,nil)
| nil = sk2 ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
( ~ rearsegP(sk1,X0)
| nil = sk2
| ~ neq(X0,nil)
| ~ rearsegP(sk2,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
( neq(sk2,nil)
| nil != sk1 ),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c18,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c69,plain,
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause59]) ).
cnf(c125,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ),
inference(clausification,[status(esa)],[clause115]) ).
cnf(d0,plain,
( ~ neq(X0,X0)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(equality_resolution,[status(thm)],[c125]) ).
cnf(d1,plain,
sk2 = sk3,
inference(demodulation,[status(thm)],[c6,c4]) ).
cnf(d2,plain,
sk1 = sk2,
inference(demodulation,[status(thm)],[c5,d1]) ).
cnf(d3,plain,
( ~ rearsegP(sk2,X0)
| ~ rearsegP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil = sk2 ),
inference(demodulation,[status(thm)],[c8,d2]) ).
cnf(d4,plain,
( ~ ssList(sk2)
| ~ neq(sk2,nil)
| ~ ssList(sk2)
| nil = sk2 ),
inference(resolution,[status(thm)],[d3,c69]) ).
cnf(d5,plain,
( ~ neq(sk2,nil)
| nil = sk2 ),
inference(resolution,[status(thm)],[c1,d4]) ).
cnf(d6,plain,
( nil = sk2
| nil = sk2 ),
inference(resolution,[status(thm)],[d5,c7]) ).
cnf(d7,plain,
( neq(sk2,nil)
| nil != sk2 ),
inference(demodulation,[status(thm)],[c9,d2]) ).
cnf(d8,plain,
neq(sk2,nil),
inference(resolution,[status(thm)],[d6,d7]) ).
cnf(d9,plain,
neq(nil,nil),
inference(demodulation,[status(thm)],[d8,d6]) ).
cnf(d10,plain,
~ ssList(nil),
inference(resolution,[status(thm)],[d9,d0]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[c18,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC047-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/10.55 % Computer : n001.cluster.edu
% 0.08/10.55 % Model : x86_64 x86_64
% 0.08/10.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.55 % Memory : 8046.5625MB
% 0.08/10.55 % OS : Linux 6.8.0-71-generic
% 0.08/10.55 % CPULimit : 300
% 0.08/10.55 % WCLimit : 300
% 0.08/10.55 % DateTime : Sat Sep 26 12:14:08 UTC 2026
% 0.08/10.55 % CPUTime :
% 0.08/10.55 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.04/13.32 % SZS status Unsatisfiable for theBenchmark.p
% 9.04/13.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------