%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC012-1 : 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 : n011.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 08:53:56 AM UTC 2026
% Result : Unsatisfiable 9.17s 4.77s
% Output : CNFRefutation 9.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of clauses : 38 ( 17 unt; 1 nHn; 38 RR)
% Number of literals : 82 ( 35 equ; 54 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 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 : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_1,negated_conjecture,
ssList(sk1) ).
cnf(co1_2,negated_conjecture,
ssList(sk2) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ) ).
cnf(co1_12,negated_conjecture,
( ~ neq(sk4,nil)
| app(X1,X2) != sk1
| app(app(X1,cons(X0,nil)),X2) != sk2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ) ).
cnf(co1_13,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ) ).
cnf(co1_14,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk3,cons(sk5,nil)) = sk4 ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause73,axiom,
( app(X0,nil) = X0
| ~ ssList(X0) ) ).
cnf(c0,plain,
ssList(sk1),
inference(clausification,[status(esa)],[co1_1]) ).
cnf(c1,plain,
ssList(sk2),
inference(clausification,[status(esa)],[co1_2]) ).
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,
neq(sk2,nil),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c11,plain,
( app(app(X2,cons(X1,nil)),X0) != sk2
| ~ ssList(X2)
| app(X2,X0) != sk1
| ~ neq(sk4,nil)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c12,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(clausification,[status(esa)],[co1_13]) ).
cnf(c13,plain,
( ~ neq(sk4,nil)
| app(sk3,cons(sk5,nil)) = sk4 ),
inference(clausification,[status(esa)],[co1_14]) ).
cnf(c21,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c86,plain,
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause73]) ).
cnf(d0,plain,
app(sk1,nil) = sk1,
inference(resolution,[status(thm)],[c86,c0]) ).
cnf(d1,plain,
( ~ ssItem(X2)
| ~ neq(sk2,nil)
| ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,cons(X2,nil)),X1) != sk2
| app(X0,X1) != sk1 ),
inference(demodulation,[status(thm)],[c11,c4]) ).
cnf(d2,plain,
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(app(X0,cons(X2,nil)),X1) != sk2
| app(X0,X1) != sk1 ),
inference(resolution,[status(thm)],[c6,d1]) ).
cnf(d3,plain,
( ~ neq(sk4,nil)
| app(sk1,cons(sk5,nil)) = sk4 ),
inference(demodulation,[status(thm)],[c13,c5]) ).
cnf(d4,plain,
( ~ neq(sk4,nil)
| app(sk1,cons(sk5,nil)) = sk2 ),
inference(demodulation,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
( ~ neq(sk2,nil)
| app(sk1,cons(sk5,nil)) = sk2 ),
inference(demodulation,[status(thm)],[d4,c4]) ).
cnf(d6,plain,
app(sk1,cons(sk5,nil)) = sk2,
inference(resolution,[status(thm)],[c6,d5]) ).
cnf(d7,plain,
( ~ ssItem(sk5)
| ~ ssList(sk1)
| ~ ssList(X0)
| app(sk1,X0) != sk1
| app(sk2,X0) != sk2 ),
inference(superposition,[status(thm)],[d6,d2]) ).
cnf(d8,plain,
( ~ ssItem(sk5)
| ~ ssList(X0)
| app(sk2,X0) != sk2
| app(sk1,X0) != sk1 ),
inference(resolution,[status(thm)],[c0,d7]) ).
cnf(d9,plain,
( ssItem(sk5)
| ~ neq(sk2,nil) ),
inference(demodulation,[status(thm)],[c12,c4]) ).
cnf(d10,plain,
ssItem(sk5),
inference(resolution,[status(thm)],[c6,d9]) ).
cnf(d11,plain,
( ~ ssList(X0)
| app(sk2,X0) != sk2
| app(sk1,X0) != sk1 ),
inference(resolution,[status(thm)],[d10,d8]) ).
cnf(d12,plain,
app(sk2,nil) = sk2,
inference(resolution,[status(thm)],[c86,c1]) ).
cnf(d13,plain,
( ~ ssList(nil)
| app(sk1,nil) != sk1
| sk2 != sk2 ),
inference(superposition,[status(thm)],[d12,d11]) ).
cnf(d14,plain,
( ~ ssList(nil)
| sk1 != sk1
| sk2 != sk2 ),
inference(demodulation,[status(thm)],[d13,d0]) ).
cnf(d15,plain,
( sk1 != sk1
| sk2 != sk2 ),
inference(resolution,[status(thm)],[c21,d14]) ).
cnf(d16,plain,
sk1 != sk1,
inference(equality_resolution,[status(thm)],[d15]) ).
cnf(d17,plain,
$false,
inference(equality_resolution,[status(thm)],[d16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC012-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 12:03:59 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.17/4.77 % SZS status Unsatisfiable for theBenchmark.p
% 9.17/4.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------