%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC105-1 : 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 : n014.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 08:54:17 AM UTC 2026
% Result : Unsatisfiable 18.39s 7.91s
% Output : CNFRefutation 18.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of clauses : 40 ( 12 unt; 18 nHn; 40 RR)
% Number of literals : 79 ( 35 equ; 25 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 : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_1,negated_conjecture,
ssList(sk1) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_8,negated_conjecture,
( ~ rearsegP(sk2,sk1)
| ~ neq(sk1,nil)
| nil = sk2 ) ).
cnf(co1_9,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ) ).
cnf(co1_11,negated_conjecture,
( neq(sk3,nil)
| nil = sk4 ) ).
cnf(co1_12,negated_conjecture,
( rearsegP(sk4,sk3)
| nil = sk4 ) ).
cnf(co1_14,negated_conjecture,
( rearsegP(sk4,sk3)
| nil = sk3 ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause82,axiom,
( nil = X0
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ) ).
cnf(clause115,axiom,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ) ).
cnf(c0,plain,
ssList(sk1),
inference(clausification,[status(esa)],[co1_1]) ).
cnf(c4,plain,
sk2 = sk4,
inference(clausification,[status(esa)],[co1_5]) ).
cnf(c5,plain,
sk1 = sk3,
inference(clausification,[status(esa)],[co1_6]) ).
cnf(c7,plain,
( ~ rearsegP(sk2,sk1)
| ~ neq(sk1,nil)
| nil = sk2 ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
( neq(sk2,nil)
| nil != sk1 ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c10,plain,
( neq(sk3,nil)
| nil = sk4 ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
( rearsegP(sk4,sk3)
| nil = sk4 ),
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c13,plain,
( rearsegP(sk4,sk3)
| nil = sk3 ),
inference(clausification,[status(esa)],[co1_14]) ).
cnf(c21,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c95,plain,
( nil = X0
| ~ ssList(X0)
| ~ rearsegP(nil,X0) ),
inference(clausification,[status(esa)],[clause82]) ).
cnf(c128,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)],[c128]) ).
cnf(d1,plain,
( neq(sk3,nil)
| nil = sk2 ),
inference(demodulation,[status(thm)],[c10,c4]) ).
cnf(d2,plain,
( neq(sk1,nil)
| nil = sk2 ),
inference(demodulation,[status(thm)],[d1,c5]) ).
cnf(d3,plain,
( rearsegP(sk4,sk3)
| nil = sk2 ),
inference(demodulation,[status(thm)],[c11,c4]) ).
cnf(d4,plain,
( rearsegP(sk2,sk3)
| nil = sk2 ),
inference(demodulation,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
( rearsegP(sk2,sk1)
| nil = sk2 ),
inference(demodulation,[status(thm)],[d4,c5]) ).
cnf(d6,plain,
( ~ neq(sk1,nil)
| nil = sk2
| nil = sk2 ),
inference(resolution,[status(thm)],[d5,c7]) ).
cnf(d7,plain,
( nil = sk2
| nil = sk2 ),
inference(resolution,[status(thm)],[d6,d2]) ).
cnf(d8,plain,
( neq(nil,nil)
| nil != sk1 ),
inference(demodulation,[status(thm)],[c8,d7]) ).
cnf(d9,plain,
( rearsegP(sk4,sk3)
| nil = sk1 ),
inference(demodulation,[status(thm)],[c13,c5]) ).
cnf(d10,plain,
( rearsegP(sk2,sk3)
| nil = sk1 ),
inference(demodulation,[status(thm)],[d9,c4]) ).
cnf(d11,plain,
( rearsegP(sk2,sk1)
| nil = sk1 ),
inference(demodulation,[status(thm)],[d10,c5]) ).
cnf(d12,plain,
( rearsegP(nil,sk1)
| nil = sk1 ),
inference(demodulation,[status(thm)],[d11,d7]) ).
cnf(d13,plain,
( ~ ssList(sk1)
| nil = sk1
| nil = sk1 ),
inference(resolution,[status(thm)],[d12,c95]) ).
cnf(d14,plain,
nil = sk1,
inference(resolution,[status(thm)],[c0,d13]) ).
cnf(d15,plain,
neq(nil,nil),
inference(resolution,[status(thm)],[d14,d8]) ).
cnf(d16,plain,
~ ssList(nil),
inference(resolution,[status(thm)],[d15,d0]) ).
cnf(d17,plain,
$false,
inference(resolution,[status(thm)],[c21,d16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC105-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.57 % Computer : n014.cluster.edu
% 0.10/5.57 % Model : x86_64 x86_64
% 0.10/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.57 % Memory : 8046.5625MB
% 0.10/5.57 % OS : Linux 6.8.0-71-generic
% 0.10/5.57 % CPULimit : 300
% 0.10/5.57 % WCLimit : 300
% 0.10/5.57 % DateTime : Sat Sep 26 12:15:52 UTC 2026
% 0.10/5.57 % CPUTime :
% 0.10/5.57 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.39/7.91 % SZS status Unsatisfiable for theBenchmark.p
% 18.39/7.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------