%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC008-1 : 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 : n015.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 08:53:55 AM UTC 2026
% Result : Unsatisfiable 75.68s 35.69s
% Output : CNFRefutation 75.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of clauses : 42 ( 16 unt; 0 nHn; 40 RR)
% Number of literals : 121 ( 38 equ; 92 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 52 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_3,negated_conjecture,
ssList(sk3) ).
cnf(co1_4,negated_conjecture,
ssList(sk4) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
frontsegP(sk4,sk3) ).
cnf(co1_9,negated_conjecture,
( app(X0,X2) != sk1
| app(app(X0,X1),X2) != sk2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause51,axiom,
ssList(skaf45(X0,X1)) ).
cnf(clause73,axiom,
( app(X0,nil) = X0
| ~ ssList(X0) ) ).
cnf(clause74,axiom,
( app(nil,X0) = X0
| ~ ssList(X0) ) ).
cnf(clause132,axiom,
( app(X1,skaf45(X0,X1)) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ) ).
cnf(clause149,axiom,
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(c2,plain,
ssList(sk3),
inference(clausification,[status(esa)],[co1_3]) ).
cnf(c3,plain,
ssList(sk4),
inference(clausification,[status(esa)],[co1_4]) ).
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,
frontsegP(sk4,sk3),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c8,plain,
( ~ ssList(X1)
| app(X1,X0) != sk1
| ~ ssList(X2)
| app(app(X1,X2),X0) != sk2
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c17,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c60,plain,
ssList(skaf45(X0,X1)),
inference(clausification,[status(esa)],[clause51]) ).
cnf(c82,plain,
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause73]) ).
cnf(c83,plain,
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause74]) ).
cnf(c141,plain,
( app(X1,skaf45(X0,X1)) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
inference(clausification,[status(esa)],[clause132]) ).
cnf(c158,plain,
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause149]) ).
cnf(d0,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X2),X1) != sk2
| app(X0,X1) != sk3 ),
inference(demodulation,[status(thm)],[c8,c5]) ).
cnf(d1,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X2),X1) != sk4
| app(X0,X1) != sk3 ),
inference(demodulation,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(skaf45(X1,X0))
| app(X0,X2) != sk3
| app(X1,X2) != sk4 ),
inference(superposition,[status(thm)],[c141,d1]) ).
cnf(d3,plain,
( ~ frontsegP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X2,X1) != sk3
| app(X0,X1) != sk4 ),
inference(resolution,[status(thm)],[c60,d2]) ).
cnf(d4,plain,
( ~ ssList(X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| app(X1,nil) != sk3
| X0 != sk4 ),
inference(superposition,[status(thm)],[c82,d3]) ).
cnf(d5,plain,
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X1,nil) != sk3
| X0 != sk4 ),
inference(resolution,[status(thm)],[c17,d4]) ).
cnf(d6,plain,
( ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(superposition,[status(thm)],[c83,c158]) ).
cnf(d7,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(resolution,[status(thm)],[c17,d6]) ).
cnf(d8,plain,
( ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(nil)
| app(X0,nil) = app(nil,X0) ),
inference(superposition,[status(thm)],[c82,d7]) ).
cnf(d9,plain,
( ~ ssList(X0)
| app(X0,nil) = app(nil,X0) ),
inference(resolution,[status(thm)],[c17,d8]) ).
cnf(d10,plain,
( ~ ssList(X0)
| ~ ssList(X0)
| X0 = app(nil,X0) ),
inference(superposition,[status(thm)],[c82,d9]) ).
cnf(d11,plain,
( ~ ssList(X0)
| ~ ssList(X0)
| X0 = app(X0,nil) ),
inference(superposition,[status(thm)],[d9,d10]) ).
cnf(d12,plain,
( ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X1 != sk4
| X0 != sk3 ),
inference(superposition,[status(thm)],[d11,d5]) ).
cnf(d13,plain,
( ~ frontsegP(X0,sk3)
| ~ ssList(sk3)
| ~ ssList(X0)
| X0 != sk4 ),
inference(equality_resolution,[status(thm)],[d12]) ).
cnf(d14,plain,
( ~ frontsegP(X0,sk3)
| ~ ssList(X0)
| X0 != sk4 ),
inference(resolution,[status(thm)],[c2,d13]) ).
cnf(d15,plain,
( ~ frontsegP(sk4,sk3)
| ~ ssList(sk4) ),
inference(equality_resolution,[status(thm)],[d14]) ).
cnf(d16,plain,
~ frontsegP(sk4,sk3),
inference(resolution,[status(thm)],[c3,d15]) ).
cnf(d17,plain,
$false,
inference(resolution,[status(thm)],[c6,d16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC008-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 12:06:43 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 75.68/35.69 % SZS status Unsatisfiable for theBenchmark.p
% 75.68/35.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------