%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC189-1 : 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 : 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 08:54:33 AM UTC 2026
% Result : Unsatisfiable 21.36s 3.22s
% Output : CNFRefutation 21.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 16 unt; 0 nHn; 24 RR)
% Number of literals : 54 ( 23 equ; 33 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
( app(app(app(X2,cons(X0,nil)),cons(X1,nil)),X3) != sk3
| X0 = X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ).
cnf(co1_8,negated_conjecture,
ssItem(sk5) ).
cnf(co1_9,negated_conjecture,
ssItem(sk6) ).
cnf(co1_10,negated_conjecture,
ssList(sk7) ).
cnf(co1_11,negated_conjecture,
ssList(sk8) ).
cnf(co1_12,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1 ).
cnf(co1_13,negated_conjecture,
sk5 != sk6 ).
cnf(c5,plain,
sk1 = sk3,
inference(clausification,[status(esa)],[co1_6]) ).
cnf(c6,plain,
( ~ ssItem(X3)
| ~ ssItem(X2)
| X2 = X3
| ~ ssList(X1)
| app(app(app(X1,cons(X2,nil)),cons(X3,nil)),X0) != sk3
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
ssItem(sk5),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
ssItem(sk6),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
ssList(sk7),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c10,plain,
ssList(sk8),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c12,plain,
sk5 != sk6,
inference(clausification,[status(esa)],[co1_13]) ).
cnf(d0,plain,
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(app(X2,cons(X0,nil)),cons(X1,nil)),X3) != sk1
| X0 = X1 ),
inference(demodulation,[status(thm)],[c6,c5]) ).
cnf(d1,plain,
( ~ ssItem(sk5)
| ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(sk8)
| sk5 = sk6
| sk1 != sk1 ),
inference(superposition,[status(thm)],[c11,d0]) ).
cnf(d2,plain,
( ~ ssItem(sk5)
| ~ ssList(sk8)
| ~ ssList(sk7)
| sk5 = sk6
| sk1 != sk1 ),
inference(resolution,[status(thm)],[c8,d1]) ).
cnf(d3,plain,
( ~ ssList(sk8)
| ~ ssList(sk7)
| sk5 = sk6
| sk1 != sk1 ),
inference(resolution,[status(thm)],[c7,d2]) ).
cnf(d4,plain,
( ~ ssList(sk8)
| sk5 = sk6
| sk1 != sk1 ),
inference(resolution,[status(thm)],[c9,d3]) ).
cnf(d5,plain,
( sk5 = sk6
| sk1 != sk1 ),
inference(resolution,[status(thm)],[c10,d4]) ).
cnf(d6,plain,
sk1 != sk1,
inference(resolution,[status(thm)],[c12,d5]) ).
cnf(d7,plain,
$false,
inference(equality_resolution,[status(thm)],[d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC189-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39 % Computer : n003.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sat Sep 26 12:29:54 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.36/3.22 % SZS status Unsatisfiable for theBenchmark.p
% 21.36/3.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------