%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC027-1 : 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 : n003.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 28.32s 4.70s
% Output : CNFRefutation 28.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of clauses : 47 ( 13 unt; 15 nHn; 47 RR)
% Number of literals : 97 ( 60 equ; 45 neg)
% Maximal clause size : 5 ( 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; 6 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
( nil = sk4
| ssItem(sk5) ) ).
cnf(co1_8,negated_conjecture,
( nil = sk3
| ssItem(sk5) ) ).
cnf(co1_9,negated_conjecture,
( nil = sk4
| cons(sk5,nil) = sk3 ) ).
cnf(co1_13,negated_conjecture,
( nil = sk3
| memberP(sk4,sk5) ) ).
cnf(co1_15,negated_conjecture,
( nil = sk1
| nil = sk2 ) ).
cnf(co1_18,negated_conjecture,
( nil != sk2
| nil != sk1 ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause71,axiom,
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ).
cnf(clause73,axiom,
( app(X0,nil) = X0
| ~ ssList(X0) ) ).
cnf(clause98,axiom,
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ) ).
cnf(clause145,axiom,
( app(X0,X1) = nil
| ~ ssList(X0)
| ~ ssList(X1)
| nil != X1
| nil != X0 ) ).
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 = sk4
| ssItem(sk5) ),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( nil = sk3
| ssItem(sk5) ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
( nil = sk4
| cons(sk5,nil) = sk3 ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c12,plain,
( nil = sk3
| memberP(sk4,sk5) ),
inference(clausification,[status(esa)],[co1_13]) ).
cnf(c14,plain,
( nil = sk1
| nil = sk2 ),
inference(clausification,[status(esa)],[co1_15]) ).
cnf(c17,plain,
( nil != sk2
| nil != sk1 ),
inference(clausification,[status(esa)],[co1_18]) ).
cnf(c25,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c88,plain,
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(clausification,[status(esa)],[clause71]) ).
cnf(c90,plain,
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause73]) ).
cnf(c115,plain,
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ),
inference(clausification,[status(esa)],[clause98]) ).
cnf(c162,plain,
( ~ ssList(X1)
| nil != X1
| ~ ssList(X0)
| nil != X0
| app(X0,X1) = nil ),
inference(clausification,[status(esa)],[clause145]) ).
cnf(d0,plain,
( nil = sk4
| ~ ssItem(sk5)
| ~ ssList(nil)
| sk3 != nil ),
inference(superposition,[status(thm)],[c8,c115]) ).
cnf(d1,plain,
( ~ ssItem(sk5)
| nil = sk4
| sk3 != nil ),
inference(resolution,[status(thm)],[c25,d0]) ).
cnf(d2,plain,
( nil = sk2
| nil = sk3 ),
inference(demodulation,[status(thm)],[c14,c5]) ).
cnf(d3,plain,
( nil = sk4
| nil = sk3 ),
inference(demodulation,[status(thm)],[d2,c4]) ).
cnf(d4,plain,
( nil = sk4
| ~ ssItem(sk5)
| nil = sk4
| nil != nil ),
inference(superposition,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[c90,c25]) ).
cnf(d6,plain,
( ~ ssList(nil)
| ~ ssList(X0)
| app(nil,X0) = nil
| nil != X0 ),
inference(equality_resolution,[status(thm)],[c162]) ).
cnf(d7,plain,
( ~ ssList(X0)
| app(nil,X0) = nil
| nil != X0 ),
inference(resolution,[status(thm)],[c25,d6]) ).
cnf(d8,plain,
( ~ ssList(nil)
| app(nil,nil) = nil ),
inference(equality_resolution,[status(thm)],[d7]) ).
cnf(d9,plain,
( ~ ssList(nil)
| nil = nil ),
inference(demodulation,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
nil = nil,
inference(resolution,[status(thm)],[c25,d9]) ).
cnf(d11,plain,
( ~ ssItem(sk5)
| nil = sk4 ),
inference(resolution,[status(thm)],[d10,d4]) ).
cnf(d12,plain,
( nil = sk4
| nil = sk4 ),
inference(resolution,[status(thm)],[d11,c6]) ).
cnf(d13,plain,
( memberP(nil,sk5)
| nil = sk3 ),
inference(demodulation,[status(thm)],[c12,d12]) ).
cnf(d14,plain,
( nil != sk2
| nil != sk3 ),
inference(demodulation,[status(thm)],[c17,c5]) ).
cnf(d15,plain,
( nil != sk4
| nil != sk3 ),
inference(demodulation,[status(thm)],[d14,c4]) ).
cnf(d16,plain,
nil != sk3,
inference(resolution,[status(thm)],[d12,d15]) ).
cnf(d17,plain,
memberP(nil,sk5),
inference(resolution,[status(thm)],[d16,d13]) ).
cnf(d18,plain,
~ ssItem(sk5),
inference(resolution,[status(thm)],[d17,c88]) ).
cnf(d19,plain,
ssItem(sk5),
inference(resolution,[status(thm)],[d16,c7]) ).
cnf(d20,plain,
$false,
inference(resolution,[status(thm)],[d19,d18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC027-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n003.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sat Sep 26 12:07:26 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.32/4.70 % SZS status Unsatisfiable for theBenchmark.p
% 28.32/4.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------