%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC407-1 : 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 : 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 08:55:17 AM UTC 2026
% Result : Unsatisfiable 67.02s 27.22s
% Output : CNFRefutation 67.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of clauses : 35 ( 17 unt; 15 nHn; 35 RR)
% Number of literals : 78 ( 30 equ; 30 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
ssItem(sk5) ).
cnf(co1_8,negated_conjecture,
memberP(sk1,sk5) ).
cnf(co1_9,negated_conjecture,
~ memberP(sk2,sk5) ).
cnf(co1_11,negated_conjecture,
( nil = sk3
| ssItem(sk6) ) ).
cnf(co1_14,negated_conjecture,
( nil = sk3
| cons(sk6,nil) = sk3 ) ).
cnf(co1_15,negated_conjecture,
( nil = sk3
| memberP(sk4,sk6) ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause71,axiom,
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ).
cnf(clause161,axiom,
( X2 = X0
| memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(cons(X0,X1),X2) ) ).
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,
ssItem(sk5),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
memberP(sk1,sk5),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
~ memberP(sk2,sk5),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c10,plain,
( nil = sk3
| ssItem(sk6) ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c13,plain,
( nil = sk3
| cons(sk6,nil) = sk3 ),
inference(clausification,[status(esa)],[co1_14]) ).
cnf(c14,plain,
( nil = sk3
| memberP(sk4,sk6) ),
inference(clausification,[status(esa)],[co1_15]) ).
cnf(c22,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c85,plain,
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(clausification,[status(esa)],[clause71]) ).
cnf(c175,plain,
( ~ ssItem(X0)
| X2 = X0
| ~ ssItem(X2)
| ~ ssList(X1)
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ),
inference(clausification,[status(esa)],[clause161]) ).
cnf(d0,plain,
~ memberP(sk4,sk5),
inference(demodulation,[status(thm)],[c8,c4]) ).
cnf(d1,plain,
memberP(sk3,sk5),
inference(demodulation,[status(thm)],[c7,c5]) ).
cnf(d2,plain,
( nil = sk3
| memberP(nil,X0)
| ~ ssItem(X0)
| ~ ssItem(sk6)
| ~ ssList(nil)
| X0 = sk6
| ~ memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c13,c175]) ).
cnf(d3,plain,
( memberP(nil,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| nil = sk3
| X0 = sk6 ),
inference(resolution,[status(thm)],[c22,d2]) ).
cnf(d4,plain,
( memberP(nil,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0)
| nil = sk3
| X0 = sk6
| nil = sk3 ),
inference(resolution,[status(thm)],[c10,d3]) ).
cnf(d5,plain,
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| nil = sk3
| X0 = sk6
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c85,d4]) ).
cnf(d6,plain,
( ~ ssItem(sk5)
| nil = sk3
| sk5 = sk6 ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( nil = sk3
| sk5 = sk6 ),
inference(resolution,[status(thm)],[c6,d6]) ).
cnf(d8,plain,
( nil = sk3
| ~ memberP(sk4,sk6) ),
inference(superposition,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
( nil = sk3
| nil = sk3 ),
inference(resolution,[status(thm)],[c14,d8]) ).
cnf(d10,plain,
memberP(nil,sk5),
inference(demodulation,[status(thm)],[d1,d9]) ).
cnf(d11,plain,
~ ssItem(sk5),
inference(resolution,[status(thm)],[d10,c85]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[c6,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC407-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/10.37 % Computer : n020.cluster.edu
% 0.11/10.37 % Model : x86_64 x86_64
% 0.11/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.37 % Memory : 8046.5625MB
% 0.11/10.37 % OS : Linux 6.8.0-71-generic
% 0.11/10.37 % CPULimit : 300
% 0.11/10.37 % WCLimit : 300
% 0.11/10.37 % DateTime : Sat Sep 26 13:00:30 UTC 2026
% 0.11/10.38 % CPUTime :
% 0.11/10.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 67.02/27.22 % SZS status Unsatisfiable for theBenchmark.p
% 67.02/27.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------