%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC028-1 : 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 : n013.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 08:54:00 AM UTC 2026
% Result : Unsatisfiable 16.32s 9.54s
% Output : CNFRefutation 16.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 13 unt; 12 nHn; 33 RR)
% Number of literals : 62 ( 33 equ; 24 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_3,negated_conjecture,
ssList(sk3) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
( nil = sk1
| nil = sk2 ) ).
cnf(co1_10,negated_conjecture,
( nil != sk2
| nil != sk1 ) ).
cnf(co1_11,negated_conjecture,
( neq(sk3,nil)
| 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(c2,plain,
ssList(sk3),
inference(clausification,[status(esa)],[co1_3]) ).
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,
( nil = sk1
| nil = sk2 ),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c9,plain,
( nil != sk2
| nil != sk1 ),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c10,plain,
( neq(sk3,nil)
| nil = sk4 ),
inference(clausification,[status(esa)],[co1_11]) ).
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,
( rearsegP(sk2,sk3)
| nil = sk3 ),
inference(demodulation,[status(thm)],[c13,c4]) ).
cnf(d2,plain,
( nil = sk2
| nil = sk3 ),
inference(demodulation,[status(thm)],[c6,c5]) ).
cnf(d3,plain,
( nil = sk3
| nil = sk3
| rearsegP(nil,sk3) ),
inference(superposition,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ ssList(sk3)
| nil = sk3
| nil = sk3 ),
inference(resolution,[status(thm)],[d3,c95]) ).
cnf(d5,plain,
nil = sk3,
inference(resolution,[status(thm)],[c2,d4]) ).
cnf(d6,plain,
( neq(sk3,nil)
| nil = sk2 ),
inference(demodulation,[status(thm)],[c10,c4]) ).
cnf(d7,plain,
( neq(nil,nil)
| nil = sk2 ),
inference(demodulation,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
( nil != sk2
| nil != sk3 ),
inference(demodulation,[status(thm)],[c9,c5]) ).
cnf(d9,plain,
nil != sk2,
inference(resolution,[status(thm)],[d5,d8]) ).
cnf(d10,plain,
neq(nil,nil),
inference(resolution,[status(thm)],[d9,d7]) ).
cnf(d11,plain,
~ ssList(nil),
inference(resolution,[status(thm)],[d10,d0]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[c21,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC028-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.43 % Computer : n013.cluster.edu
% 0.17/5.43 % Model : x86_64 x86_64
% 0.17/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.43 % Memory : 8046.5625MB
% 0.17/5.43 % OS : Linux 6.8.0-71-generic
% 0.17/5.43 % CPULimit : 300
% 0.17/5.43 % WCLimit : 300
% 0.17/5.43 % DateTime : Sat Sep 26 12:05:15 UTC 2026
% 0.17/5.43 % CPUTime :
% 0.17/5.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.32/9.54 % SZS status Unsatisfiable for theBenchmark.p
% 16.32/9.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------