%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC007-1 : 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 : n001.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 32.88s 5.15s
% Output : CNFRefutation 32.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of clauses : 31 ( 11 unt; 0 nHn; 31 RR)
% Number of literals : 84 ( 33 equ; 63 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_2,negated_conjecture,
ssList(sk2) ).
cnf(co1_5,negated_conjecture,
nil = sk3 ).
cnf(co1_7,negated_conjecture,
sk1 = sk3 ).
cnf(co1_8,negated_conjecture,
( app(X0,X2) != sk1
| app(app(X0,X1),X2) != sk2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause73,axiom,
( app(X0,nil) = X0
| ~ ssList(X0) ) ).
cnf(clause74,axiom,
( app(nil,X0) = X0
| ~ ssList(X0) ) ).
cnf(clause149,axiom,
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(c1,plain,
ssList(sk2),
inference(clausification,[status(esa)],[co1_2]) ).
cnf(c4,plain,
nil = sk3,
inference(clausification,[status(esa)],[co1_5]) ).
cnf(c6,plain,
sk1 = sk3,
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( ~ ssList(X1)
| app(X1,X0) != sk1
| ~ ssList(X2)
| app(app(X1,X2),X0) != sk2
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c15,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c80,plain,
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause73]) ).
cnf(c81,plain,
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause74]) ).
cnf(c156,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,
sk1 = nil,
inference(demodulation,[status(thm)],[c6,c4]) ).
cnf(d1,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X2),X1) != sk2
| app(X0,X1) != nil ),
inference(demodulation,[status(thm)],[c7,d0]) ).
cnf(d2,plain,
( ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| app(nil,X1) != nil
| app(X0,X1) != sk2 ),
inference(superposition,[status(thm)],[c81,d1]) ).
cnf(d3,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| app(nil,X1) != nil
| app(X0,X1) != sk2 ),
inference(resolution,[status(thm)],[c15,d2]) ).
cnf(d4,plain,
( ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(superposition,[status(thm)],[c81,c156]) ).
cnf(d5,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(resolution,[status(thm)],[c15,d4]) ).
cnf(d6,plain,
( ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(nil)
| app(X0,nil) = app(nil,X0) ),
inference(superposition,[status(thm)],[c80,d5]) ).
cnf(d7,plain,
( ~ ssList(X0)
| app(X0,nil) = app(nil,X0) ),
inference(resolution,[status(thm)],[c15,d6]) ).
cnf(d8,plain,
( ~ ssList(X0)
| ~ ssList(X0)
| X0 = app(nil,X0) ),
inference(superposition,[status(thm)],[c80,d7]) ).
cnf(d9,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,X0) != sk2
| X0 != nil ),
inference(superposition,[status(thm)],[d8,d3]) ).
cnf(d10,plain,
( ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X0)
| nil != nil
| X0 != sk2 ),
inference(superposition,[status(thm)],[c80,d9]) ).
cnf(d11,plain,
( ~ ssList(X0)
| nil != nil
| X0 != sk2 ),
inference(resolution,[status(thm)],[c15,d10]) ).
cnf(d12,plain,
( ~ ssList(X0)
| X0 != sk2 ),
inference(equality_resolution,[status(thm)],[d11]) ).
cnf(d13,plain,
~ ssList(sk2),
inference(equality_resolution,[status(thm)],[d12]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[c1,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC007-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 12:08:58 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.88/5.15 % SZS status Unsatisfiable for theBenchmark.p
% 32.88/5.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------