%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC032-1 : 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 : 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 08:54:01 AM UTC 2026
% Result : Unsatisfiable 35.15s 4.99s
% Output : CNFRefutation 35.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of clauses : 31 ( 17 unt; 3 nHn; 31 RR)
% Number of literals : 53 ( 41 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 4 ( 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_7,negated_conjecture,
ssList(sk5) ).
cnf(co1_8,negated_conjecture,
app(sk3,sk5) = sk4 ).
cnf(co1_11,negated_conjecture,
( nil != sk3
| nil = sk4 ) ).
cnf(co1_12,negated_conjecture,
( nil = sk1
| nil = sk2 ) ).
cnf(co1_15,negated_conjecture,
( nil != sk2
| nil != sk1 ) ).
cnf(clause118,axiom,
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ) ).
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(c6,plain,
ssList(sk5),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
app(sk3,sk5) = sk4,
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c10,plain,
( nil != sk3
| nil = sk4 ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
( nil = sk1
| nil = sk2 ),
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c14,plain,
( nil != sk2
| nil != sk1 ),
inference(clausification,[status(esa)],[co1_15]) ).
cnf(c132,plain,
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(clausification,[status(esa)],[clause118]) ).
cnf(d0,plain,
( nil = sk4
| nil != sk1 ),
inference(demodulation,[status(thm)],[c10,c5]) ).
cnf(d1,plain,
( nil = sk2
| nil != sk1 ),
inference(demodulation,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
app(sk1,sk5) = sk4,
inference(demodulation,[status(thm)],[c7,c5]) ).
cnf(d3,plain,
app(sk1,sk5) = sk2,
inference(demodulation,[status(thm)],[d2,c4]) ).
cnf(d4,plain,
( ~ ssList(sk1)
| ~ ssList(sk5)
| nil = sk1
| sk2 != nil ),
inference(superposition,[status(thm)],[d3,c132]) ).
cnf(d5,plain,
( ~ ssList(sk5)
| nil = sk1
| sk2 != nil ),
inference(resolution,[status(thm)],[c0,d4]) ).
cnf(d6,plain,
( nil = sk1
| sk2 != nil ),
inference(resolution,[status(thm)],[c6,d5]) ).
cnf(d7,plain,
( nil = sk1
| nil = sk1
| nil != nil ),
inference(superposition,[status(thm)],[c11,d6]) ).
cnf(d8,plain,
nil = sk1,
inference(equality_resolution,[status(thm)],[d7]) ).
cnf(d9,plain,
nil = sk2,
inference(resolution,[status(thm)],[d8,d1]) ).
cnf(d10,plain,
nil != sk2,
inference(resolution,[status(thm)],[d8,c14]) ).
cnf(d11,plain,
nil != nil,
inference(demodulation,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
$false,
inference(equality_resolution,[status(thm)],[d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC032-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n020.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sat Sep 26 12:06:34 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.15/4.99 % SZS status Unsatisfiable for theBenchmark.p
% 35.15/4.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------