%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC348-1 : 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 08:55:04 AM UTC 2026
% Result : Unsatisfiable 17.66s 16.24s
% Output : CNFRefutation 17.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of clauses : 45 ( 21 unt; 8 nHn; 43 RR)
% Number of literals : 84 ( 15 equ; 35 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_1,negated_conjecture,
ssList(sk1) ).
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(sk4,sk3) ).
cnf(co1_8,negated_conjecture,
( ~ neq(sk4,nil)
| singletonP(sk3) ) ).
cnf(co1_9,negated_conjecture,
( ~ strictorderedP(sk1)
| ~ segmentP(sk2,sk1) ) ).
cnf(clause3,axiom,
strictorderedP(nil) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause47,axiom,
ssItem(skaf44(X0)) ).
cnf(clause66,axiom,
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ) ).
cnf(clause80,axiom,
( nil = X0
| ~ ssList(X0)
| ~ segmentP(nil,X0) ) ).
cnf(clause100,axiom,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(clause101,axiom,
( cons(skaf44(X0),nil) = X0
| ~ ssList(X0)
| ~ singletonP(X0) ) ).
cnf(c0,plain,
ssList(sk1),
inference(clausification,[status(esa)],[co1_1]) ).
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(sk4,sk3),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
( ~ strictorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c11,plain,
strictorderedP(nil),
inference(clausification,[status(esa)],[clause3]) ).
cnf(c16,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c55,plain,
ssItem(skaf44(X0)),
inference(clausification,[status(esa)],[clause47]) ).
cnf(c74,plain,
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[clause66]) ).
cnf(c88,plain,
( nil = X0
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(clausification,[status(esa)],[clause80]) ).
cnf(c108,plain,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause100]) ).
cnf(c109,plain,
( cons(skaf44(X0),nil) = X0
| ~ ssList(X0)
| ~ singletonP(X0) ),
inference(clausification,[status(esa)],[clause101]) ).
cnf(d0,plain,
( ~ strictorderedP(sk1)
| ~ segmentP(sk4,sk1) ),
inference(demodulation,[status(thm)],[c8,c4]) ).
cnf(d1,plain,
segmentP(sk4,sk1),
inference(demodulation,[status(thm)],[c6,c5]) ).
cnf(d2,plain,
~ strictorderedP(sk1),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( singletonP(sk1)
| ~ neq(sk4,nil) ),
inference(demodulation,[status(thm)],[c7,c5]) ).
cnf(d4,plain,
( singletonP(sk1)
| ~ ssList(nil)
| ~ ssList(sk4)
| sk4 = nil ),
inference(resolution,[status(thm)],[c108,d3]) ).
cnf(d5,plain,
( singletonP(sk1)
| ~ ssList(nil)
| sk4 = nil ),
inference(resolution,[status(thm)],[c3,d4]) ).
cnf(d6,plain,
( singletonP(sk1)
| sk4 = nil ),
inference(resolution,[status(thm)],[c16,d5]) ).
cnf(d7,plain,
( singletonP(sk1)
| segmentP(nil,sk1) ),
inference(superposition,[status(thm)],[d6,d1]) ).
cnf(d8,plain,
( ~ ssList(sk1)
| nil = sk1
| singletonP(sk1) ),
inference(resolution,[status(thm)],[d7,c88]) ).
cnf(d9,plain,
( singletonP(sk1)
| nil = sk1 ),
inference(resolution,[status(thm)],[c0,d8]) ).
cnf(d10,plain,
( singletonP(sk1)
| ~ strictorderedP(nil) ),
inference(superposition,[status(thm)],[d9,d2]) ).
cnf(d11,plain,
singletonP(sk1),
inference(resolution,[status(thm)],[c11,d10]) ).
cnf(d12,plain,
( ~ singletonP(X0)
| ~ ssList(X0)
| ~ ssItem(skaf44(X0))
| strictorderedP(X0) ),
inference(superposition,[status(thm)],[c109,c74]) ).
cnf(d13,plain,
( strictorderedP(X0)
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c55,d12]) ).
cnf(d14,plain,
( strictorderedP(sk1)
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[d13,d11]) ).
cnf(d15,plain,
strictorderedP(sk1),
inference(resolution,[status(thm)],[c0,d14]) ).
cnf(d16,plain,
$false,
inference(resolution,[status(thm)],[d2,d15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC348-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/10.44 % Computer : n001.cluster.edu
% 0.16/10.44 % Model : x86_64 x86_64
% 0.16/10.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/10.44 % Memory : 8046.5625MB
% 0.16/10.44 % OS : Linux 6.8.0-71-generic
% 0.16/10.44 % CPULimit : 300
% 0.16/10.44 % WCLimit : 300
% 0.16/10.44 % DateTime : Sat Sep 26 12:58:08 UTC 2026
% 0.16/10.44 % CPUTime :
% 0.16/10.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.66/16.24 % SZS status Unsatisfiable for theBenchmark.p
% 17.66/16.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------