%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC018-1 : 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 : n013.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 08:53:57 AM UTC 2026
% Result : Unsatisfiable 42.44s 5.82s
% Output : CNFRefutation 42.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 15
% Syntax : Number of clauses : 59 ( 21 unt; 7 nHn; 59 RR)
% Number of literals : 143 ( 46 equ; 81 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 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 : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_1,negated_conjecture,
ssList(sk1) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
ssList(sk5) ).
cnf(co1_8,negated_conjecture,
app(sk3,sk5) = sk4 ).
cnf(co1_11,negated_conjecture,
( nil != sk3
| nil = sk4 ) ).
cnf(co1_13,negated_conjecture,
( ~ frontsegP(sk1,X0)
| ~ frontsegP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil = sk2 ) ).
cnf(co1_14,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause60,axiom,
( frontsegP(X0,nil)
| ~ ssList(X0) ) ).
cnf(clause61,axiom,
( frontsegP(X0,X0)
| ~ ssList(X0) ) ).
cnf(clause100,axiom,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(clause115,axiom,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ) ).
cnf(clause129,axiom,
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1) ) ).
cnf(clause137,axiom,
( frontsegP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ) ).
cnf(c0,plain,
ssList(sk1),
inference(clausification,[status(esa)],[co1_1]) ).
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,
ssList(sk5),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
app(sk3,sk5) = sk4,
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c10,plain,
( nil != sk3
| nil = sk4 ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c12,plain,
( ~ neq(X0,nil)
| ~ frontsegP(sk1,X0)
| nil = sk2
| ~ frontsegP(sk2,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_13]) ).
cnf(c13,plain,
( neq(sk2,nil)
| nil != sk1 ),
inference(clausification,[status(esa)],[co1_14]) ).
cnf(c22,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c74,plain,
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause60]) ).
cnf(c75,plain,
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause61]) ).
cnf(c114,plain,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause100]) ).
cnf(c129,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ),
inference(clausification,[status(esa)],[clause115]) ).
cnf(c143,plain,
( ~ frontsegP(X1,X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(clausification,[status(esa)],[clause129]) ).
cnf(c151,plain,
( ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(clausification,[status(esa)],[clause137]) ).
cnf(d0,plain,
( ~ neq(X0,X0)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(equality_resolution,[status(thm)],[c129]) ).
cnf(d1,plain,
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| X0 = nil ),
inference(resolution,[status(thm)],[c143,c74]) ).
cnf(d2,plain,
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| X0 = nil ),
inference(resolution,[status(thm)],[c22,d1]) ).
cnf(d3,plain,
app(sk1,sk5) = sk4,
inference(demodulation,[status(thm)],[c7,c5]) ).
cnf(d4,plain,
app(sk1,sk5) = sk2,
inference(demodulation,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
( ~ frontsegP(sk1,X0)
| ~ ssList(X0)
| ~ ssList(sk5)
| ~ ssList(sk1)
| frontsegP(sk2,X0) ),
inference(superposition,[status(thm)],[d4,c151]) ).
cnf(d6,plain,
( frontsegP(sk2,X0)
| ~ frontsegP(sk1,X0)
| ~ ssList(sk5)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c0,d5]) ).
cnf(d7,plain,
( frontsegP(sk2,X0)
| ~ frontsegP(sk1,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c6,d6]) ).
cnf(d8,plain,
( ~ ssList(sk1)
| frontsegP(sk2,sk1)
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[d7,c75]) ).
cnf(d9,plain,
frontsegP(sk2,sk1),
inference(resolution,[status(thm)],[c0,d8]) ).
cnf(d10,plain,
( ~ frontsegP(sk1,sk1)
| ~ neq(sk1,nil)
| ~ ssList(sk1)
| nil = sk2 ),
inference(resolution,[status(thm)],[d9,c12]) ).
cnf(d11,plain,
( ~ frontsegP(sk1,sk1)
| ~ neq(sk1,nil)
| nil = sk2 ),
inference(resolution,[status(thm)],[c0,d10]) ).
cnf(d12,plain,
( ~ ssList(sk1)
| ~ neq(sk1,nil)
| nil = sk2 ),
inference(resolution,[status(thm)],[d11,c75]) ).
cnf(d13,plain,
( ~ neq(sk1,nil)
| nil = sk2 ),
inference(resolution,[status(thm)],[c0,d12]) ).
cnf(d14,plain,
( ~ ssList(nil)
| ~ ssList(sk1)
| sk1 = nil
| nil = sk2 ),
inference(resolution,[status(thm)],[d13,c114]) ).
cnf(d15,plain,
( ~ ssList(nil)
| nil = sk2
| sk1 = nil ),
inference(resolution,[status(thm)],[c0,d14]) ).
cnf(d16,plain,
( nil = sk2
| sk1 = nil ),
inference(resolution,[status(thm)],[c22,d15]) ).
cnf(d17,plain,
( sk1 = nil
| frontsegP(nil,sk1) ),
inference(superposition,[status(thm)],[d16,d9]) ).
cnf(d18,plain,
( ~ ssList(sk1)
| sk1 = nil
| sk1 = nil ),
inference(resolution,[status(thm)],[d17,d2]) ).
cnf(d19,plain,
sk1 = nil,
inference(resolution,[status(thm)],[c0,d18]) ).
cnf(d20,plain,
( nil = sk4
| nil != sk1 ),
inference(demodulation,[status(thm)],[c10,c5]) ).
cnf(d21,plain,
( nil = sk2
| nil != sk1 ),
inference(demodulation,[status(thm)],[d20,c4]) ).
cnf(d22,plain,
( nil = sk2
| nil != nil ),
inference(demodulation,[status(thm)],[d21,d19]) ).
cnf(d23,plain,
nil = sk2,
inference(equality_resolution,[status(thm)],[d22]) ).
cnf(d24,plain,
( neq(sk2,nil)
| nil != nil ),
inference(demodulation,[status(thm)],[c13,d19]) ).
cnf(d25,plain,
neq(sk2,nil),
inference(equality_resolution,[status(thm)],[d24]) ).
cnf(d26,plain,
neq(nil,nil),
inference(demodulation,[status(thm)],[d25,d23]) ).
cnf(d27,plain,
~ ssList(nil),
inference(resolution,[status(thm)],[d26,d0]) ).
cnf(d28,plain,
$false,
inference(resolution,[status(thm)],[c22,d27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC018-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n013.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 12:04:07 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 42.44/5.82 % SZS status Unsatisfiable for theBenchmark.p
% 42.44/5.82 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------