%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC068-1 : 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 : n017.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 08:54:09 AM UTC 2026
% Result : Unsatisfiable 41.72s 9.24s
% Output : CNFRefutation 41.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 13
% Syntax : Number of clauses : 57 ( 22 unt; 2 nHn; 57 RR)
% Number of literals : 134 ( 44 equ; 82 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_2,negated_conjecture,
ssList(sk2) ).
cnf(co1_5,negated_conjecture,
app(sk4,sk4) = sk3 ).
cnf(co1_6,negated_conjecture,
sk2 = sk4 ).
cnf(co1_7,negated_conjecture,
sk1 = sk3 ).
cnf(co1_8,negated_conjecture,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ) ).
cnf(co1_9,negated_conjecture,
( nil != sk1
| nil != sk2 ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause57,axiom,
( segmentP(X0,X0)
| ~ ssList(X0) ) ).
cnf(clause73,axiom,
( app(X0,nil) = X0
| ~ ssList(X0) ) ).
cnf(clause74,axiom,
( app(nil,X0) = X0
| ~ ssList(X0) ) ).
cnf(clause100,axiom,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(clause149,axiom,
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(clause172,axiom,
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(X0,X1) ) ).
cnf(c1,plain,
ssList(sk2),
inference(clausification,[status(esa)],[co1_2]) ).
cnf(c4,plain,
app(sk4,sk4) = sk3,
inference(clausification,[status(esa)],[co1_5]) ).
cnf(c5,plain,
sk2 = sk4,
inference(clausification,[status(esa)],[co1_6]) ).
cnf(c6,plain,
sk1 = sk3,
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
( nil != sk1
| nil != sk2 ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c16,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c65,plain,
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause57]) ).
cnf(c81,plain,
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause73]) ).
cnf(c82,plain,
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause74]) ).
cnf(c108,plain,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause100]) ).
cnf(c157,plain,
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause149]) ).
cnf(c180,plain,
( ~ ssList(X2)
| ~ ssList(X3)
| segmentP(app(app(X2,X0),X3),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ),
inference(clausification,[status(esa)],[clause172]) ).
cnf(d0,plain,
( ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X0)
| X0 = nil ),
inference(resolution,[status(thm)],[c108,c7]) ).
cnf(d1,plain,
( ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0)
| ~ ssList(X0)
| X0 = nil ),
inference(resolution,[status(thm)],[c16,d0]) ).
cnf(d2,plain,
( ~ ssList(sk2)
| ~ segmentP(sk1,sk2)
| ~ ssList(sk2)
| sk2 = nil ),
inference(resolution,[status(thm)],[d1,c65]) ).
cnf(d3,plain,
( ~ segmentP(sk1,sk2)
| sk2 = nil ),
inference(resolution,[status(thm)],[c1,d2]) ).
cnf(d4,plain,
app(sk2,sk4) = sk3,
inference(demodulation,[status(thm)],[c4,c5]) ).
cnf(d5,plain,
app(sk2,sk2) = sk3,
inference(demodulation,[status(thm)],[d4,c5]) ).
cnf(d6,plain,
app(sk2,sk2) = sk1,
inference(demodulation,[status(thm)],[d5,c6]) ).
cnf(d7,plain,
( ~ segmentP(sk2,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk2)
| ~ ssList(sk2)
| segmentP(app(sk1,X0),X1) ),
inference(superposition,[status(thm)],[d6,c180]) ).
cnf(d8,plain,
( segmentP(app(sk1,X1),X0)
| ~ segmentP(sk2,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c1,d7]) ).
cnf(d9,plain,
( ~ ssList(X0)
| ~ ssList(sk2)
| ~ ssList(sk2)
| app(sk1,X0) = app(sk2,app(sk2,X0)) ),
inference(superposition,[status(thm)],[d6,c157]) ).
cnf(d10,plain,
( ~ ssList(X0)
| app(sk1,X0) = app(sk2,app(sk2,X0)) ),
inference(resolution,[status(thm)],[c1,d9]) ).
cnf(d11,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| app(sk1,nil) = app(sk2,sk2) ),
inference(superposition,[status(thm)],[c81,d10]) ).
cnf(d12,plain,
( ~ ssList(nil)
| ~ ssList(sk2)
| app(sk1,nil) = sk1 ),
inference(demodulation,[status(thm)],[d11,d6]) ).
cnf(d13,plain,
( ~ ssList(nil)
| app(sk1,nil) = sk1 ),
inference(resolution,[status(thm)],[c1,d12]) ).
cnf(d14,plain,
app(sk1,nil) = sk1,
inference(resolution,[status(thm)],[c16,d13]) ).
cnf(d15,plain,
( ~ segmentP(sk2,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| segmentP(sk1,X0) ),
inference(superposition,[status(thm)],[d14,d8]) ).
cnf(d16,plain,
( ~ segmentP(sk2,X0)
| segmentP(sk1,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c16,d15]) ).
cnf(d17,plain,
( ~ ssList(sk2)
| segmentP(sk1,sk2)
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[d16,c65]) ).
cnf(d18,plain,
segmentP(sk1,sk2),
inference(resolution,[status(thm)],[c1,d17]) ).
cnf(d19,plain,
sk2 = nil,
inference(resolution,[status(thm)],[d18,d3]) ).
cnf(d20,plain,
app(nil,sk2) = sk1,
inference(demodulation,[status(thm)],[d6,d19]) ).
cnf(d21,plain,
app(nil,nil) = sk1,
inference(demodulation,[status(thm)],[d20,d19]) ).
cnf(d22,plain,
( ~ ssList(nil)
| sk1 = nil ),
inference(superposition,[status(thm)],[d21,c82]) ).
cnf(d23,plain,
sk1 = nil,
inference(resolution,[status(thm)],[c16,d22]) ).
cnf(d24,plain,
( ~ ssList(nil)
| sk1 = nil ),
inference(superposition,[status(thm)],[d21,c81]) ).
cnf(d25,plain,
( ~ ssList(nil)
| nil = nil ),
inference(demodulation,[status(thm)],[d24,d23]) ).
cnf(d26,plain,
nil = nil,
inference(resolution,[status(thm)],[c16,d25]) ).
cnf(d27,plain,
( nil != nil
| nil != sk1 ),
inference(demodulation,[status(thm)],[c8,d19]) ).
cnf(d28,plain,
( nil != nil
| nil != nil ),
inference(demodulation,[status(thm)],[d27,d23]) ).
cnf(d29,plain,
nil != nil,
inference(resolution,[status(thm)],[d26,d28]) ).
cnf(d30,plain,
$false,
inference(resolution,[status(thm)],[d29,d26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC068-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n017.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 12:06:03 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 41.72/9.24 % SZS status Unsatisfiable for theBenchmark.p
% 41.72/9.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------