%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC092-1 : 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 08:54:14 AM UTC 2026
% Result : Unsatisfiable 73.23s 20.23s
% Output : CNFRefutation 73.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of clauses : 47 ( 22 unt; 2 nHn; 47 RR)
% Number of literals : 108 ( 23 equ; 66 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_3,negated_conjecture,
ssList(sk3) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
neq(sk2,nil) ).
cnf(co1_8,negated_conjecture,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ) ).
cnf(co1_9,negated_conjecture,
ssList(sk5) ).
cnf(co1_10,negated_conjecture,
app(sk3,sk5) = sk4 ).
cnf(co1_13,negated_conjecture,
( nil != sk3
| nil = sk4 ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause57,axiom,
( segmentP(X0,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(clause172,axiom,
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(X0,X1) ) ).
cnf(c2,plain,
ssList(sk3),
inference(clausification,[status(esa)],[co1_3]) ).
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(c7,plain,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
ssList(sk5),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
app(sk3,sk5) = sk4,
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c12,plain,
( nil != sk3
| nil = sk4 ),
inference(clausification,[status(esa)],[co1_13]) ).
cnf(c20,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c69,plain,
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause57]) ).
cnf(c86,plain,
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause74]) ).
cnf(c112,plain,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause100]) ).
cnf(c184,plain,
( ~ segmentP(X2,X3)
| ~ ssList(X3)
| segmentP(app(app(X0,X2),X1),X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause172]) ).
cnf(d0,plain,
( ~ segmentP(sk2,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c7,c5]) ).
cnf(d1,plain,
( ~ segmentP(sk2,sk3)
| ~ neq(sk3,nil)
| ~ ssList(sk3)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[c69,d0]) ).
cnf(d2,plain,
( ~ segmentP(sk2,sk3)
| ~ neq(sk3,nil) ),
inference(resolution,[status(thm)],[c2,d1]) ).
cnf(d3,plain,
( ~ ssList(X0)
| ~ segmentP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(nil)
| segmentP(app(X0,X1),X2) ),
inference(superposition,[status(thm)],[c86,c184]) ).
cnf(d4,plain,
( segmentP(app(X2,X1),X0)
| ~ segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c20,d3]) ).
cnf(d5,plain,
app(sk3,sk5) = sk2,
inference(demodulation,[status(thm)],[c9,c4]) ).
cnf(d6,plain,
( ~ segmentP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(sk5)
| ~ ssList(sk3)
| segmentP(sk2,X0) ),
inference(superposition,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
( ~ segmentP(sk3,X0)
| segmentP(sk2,X0)
| ~ ssList(sk5)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c2,d6]) ).
cnf(d8,plain,
( ~ segmentP(sk3,X0)
| segmentP(sk2,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c8,d7]) ).
cnf(d9,plain,
( ~ ssList(sk3)
| segmentP(sk2,sk3)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[d8,c69]) ).
cnf(d10,plain,
segmentP(sk2,sk3),
inference(resolution,[status(thm)],[c2,d9]) ).
cnf(d11,plain,
~ neq(sk3,nil),
inference(resolution,[status(thm)],[d10,d2]) ).
cnf(d12,plain,
( ~ ssList(nil)
| ~ ssList(sk3)
| sk3 = nil ),
inference(resolution,[status(thm)],[d11,c112]) ).
cnf(d13,plain,
( ~ ssList(nil)
| sk3 = nil ),
inference(resolution,[status(thm)],[c2,d12]) ).
cnf(d14,plain,
sk3 = nil,
inference(resolution,[status(thm)],[c20,d13]) ).
cnf(d15,plain,
( nil = sk2
| nil != sk3 ),
inference(demodulation,[status(thm)],[c12,c4]) ).
cnf(d16,plain,
( nil = sk2
| nil != nil ),
inference(demodulation,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
nil = sk2,
inference(equality_resolution,[status(thm)],[d16]) ).
cnf(d18,plain,
neq(nil,nil),
inference(demodulation,[status(thm)],[c6,d17]) ).
cnf(d19,plain,
~ neq(nil,nil),
inference(demodulation,[status(thm)],[d11,d14]) ).
cnf(d20,plain,
$false,
inference(resolution,[status(thm)],[d19,d18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC092-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 % Computer : n017.cluster.edu
% 0.18/0.46 % Model : x86_64 x86_64
% 0.18/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46 % Memory : 8046.5625MB
% 0.18/0.46 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Sat Sep 26 12:09:35 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 73.23/20.23 % SZS status Unsatisfiable for theBenchmark.p
% 73.23/20.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------