%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC069-1 : 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 : n002.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 31.18s 9.11s
% Output : CNFRefutation 31.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of clauses : 55 ( 12 unt; 19 nHn; 55 RR)
% Number of literals : 127 ( 49 equ; 62 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ) ).
cnf(co1_8,negated_conjecture,
( nil != sk4
| nil = sk3 ) ).
cnf(co1_9,negated_conjecture,
( nil != sk1
| nil != sk2 ) ).
cnf(co1_10,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk5) ) ).
cnf(co1_11,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk5,nil) ) ).
cnf(co1_12,negated_conjecture,
( ~ neq(sk4,nil)
| segmentP(sk4,sk5) ) ).
cnf(co1_13,negated_conjecture,
( ~ neq(sk4,nil)
| segmentP(sk3,sk5) ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause100,axiom,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
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,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( nil != sk4
| nil = sk3 ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
( nil != sk1
| nil != sk2 ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
( ~ neq(sk4,nil)
| ssList(sk5) ),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c10,plain,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
( ~ neq(sk4,nil)
| segmentP(sk4,sk5) ),
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c12,plain,
( ~ neq(sk4,nil)
| segmentP(sk3,sk5) ),
inference(clausification,[status(esa)],[co1_13]) ).
cnf(c20,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c112,plain,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause100]) ).
cnf(d0,plain,
( ~ neq(sk4,nil)
| segmentP(sk1,sk5) ),
inference(demodulation,[status(thm)],[c12,c5]) ).
cnf(d1,plain,
( segmentP(sk1,sk5)
| ~ ssList(nil)
| ~ ssList(sk4)
| sk4 = nil ),
inference(resolution,[status(thm)],[c112,d0]) ).
cnf(d2,plain,
( segmentP(sk1,sk5)
| ~ ssList(nil)
| sk4 = nil ),
inference(resolution,[status(thm)],[c3,d1]) ).
cnf(d3,plain,
( segmentP(sk1,sk5)
| sk4 = nil ),
inference(resolution,[status(thm)],[c20,d2]) ).
cnf(d4,plain,
( segmentP(sk4,sk5)
| ~ ssList(nil)
| ~ ssList(sk4)
| sk4 = nil ),
inference(resolution,[status(thm)],[c112,c11]) ).
cnf(d5,plain,
( segmentP(sk4,sk5)
| ~ ssList(nil)
| sk4 = nil ),
inference(resolution,[status(thm)],[c3,d4]) ).
cnf(d6,plain,
( segmentP(sk4,sk5)
| sk4 = nil ),
inference(resolution,[status(thm)],[c20,d5]) ).
cnf(d7,plain,
( ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk1,X0)
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c6,c4]) ).
cnf(d8,plain,
( neq(sk5,nil)
| ~ ssList(nil)
| ~ ssList(sk4)
| sk4 = nil ),
inference(resolution,[status(thm)],[c112,c10]) ).
cnf(d9,plain,
( neq(sk5,nil)
| ~ ssList(nil)
| sk4 = nil ),
inference(resolution,[status(thm)],[c3,d8]) ).
cnf(d10,plain,
( neq(sk5,nil)
| sk4 = nil ),
inference(resolution,[status(thm)],[c20,d9]) ).
cnf(d11,plain,
( ~ segmentP(sk4,sk5)
| ~ segmentP(sk1,sk5)
| ~ ssList(sk5)
| sk4 = nil ),
inference(resolution,[status(thm)],[d10,d7]) ).
cnf(d12,plain,
( nil != sk4
| nil != sk1 ),
inference(demodulation,[status(thm)],[c8,c4]) ).
cnf(d13,plain,
( ssList(sk5)
| ~ ssList(nil)
| ~ ssList(sk4)
| sk4 = nil ),
inference(resolution,[status(thm)],[c112,c9]) ).
cnf(d14,plain,
( ssList(sk5)
| ~ ssList(nil)
| sk4 = nil ),
inference(resolution,[status(thm)],[c3,d13]) ).
cnf(d15,plain,
( ssList(sk5)
| sk4 = nil ),
inference(resolution,[status(thm)],[c20,d14]) ).
cnf(d16,plain,
( ssList(sk5)
| nil != sk1
| nil != nil ),
inference(superposition,[status(thm)],[d15,d12]) ).
cnf(d17,plain,
( ssList(sk5)
| nil != sk1 ),
inference(equality_resolution,[status(thm)],[d16]) ).
cnf(d18,plain,
( nil != sk4
| nil = sk1 ),
inference(demodulation,[status(thm)],[c7,c5]) ).
cnf(d19,plain,
( ssList(sk5)
| nil = sk1
| nil != nil ),
inference(superposition,[status(thm)],[d15,d18]) ).
cnf(d20,plain,
( ssList(sk5)
| nil = sk1 ),
inference(equality_resolution,[status(thm)],[d19]) ).
cnf(d21,plain,
( ssList(sk5)
| ssList(sk5)
| nil != nil ),
inference(superposition,[status(thm)],[d20,d17]) ).
cnf(d22,plain,
ssList(sk5),
inference(equality_resolution,[status(thm)],[d21]) ).
cnf(d23,plain,
( ~ segmentP(sk4,sk5)
| ~ segmentP(sk1,sk5)
| sk4 = nil ),
inference(resolution,[status(thm)],[d22,d11]) ).
cnf(d24,plain,
( sk4 = nil
| ~ segmentP(sk1,sk5)
| sk4 = nil ),
inference(resolution,[status(thm)],[d23,d6]) ).
cnf(d25,plain,
( sk4 = nil
| sk4 = nil ),
inference(resolution,[status(thm)],[d24,d3]) ).
cnf(d26,plain,
( nil != nil
| nil = sk1 ),
inference(demodulation,[status(thm)],[d18,d25]) ).
cnf(d27,plain,
( nil != nil
| nil != sk1 ),
inference(demodulation,[status(thm)],[d12,d25]) ).
cnf(d28,plain,
nil != sk1,
inference(equality_resolution,[status(thm)],[d27]) ).
cnf(d29,plain,
nil != nil,
inference(resolution,[status(thm)],[d28,d26]) ).
cnf(d30,plain,
$false,
inference(equality_resolution,[status(thm)],[d29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC069-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.38 % Computer : n002.cluster.edu
% 0.07/0.38 % Model : x86_64 x86_64
% 0.07/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.38 % Memory : 8046.5625MB
% 0.07/0.38 % OS : Linux 6.8.0-71-generic
% 0.07/0.38 % CPULimit : 300
% 0.07/0.38 % WCLimit : 300
% 0.07/0.38 % DateTime : Sat Sep 26 12:13:51 UTC 2026
% 0.07/0.39 % CPUTime :
% 0.07/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.18/9.11 % SZS status Unsatisfiable for theBenchmark.p
% 31.18/9.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------