%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC122-1 : 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 : n018.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 08:54:21 AM UTC 2026
% Result : Unsatisfiable 6.55s 37.66s
% Output : CNFRefutation 6.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of clauses : 53 ( 24 unt; 0 nHn; 51 RR)
% Number of literals : 110 ( 24 equ; 60 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 33 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_1,negated_conjecture,
ssList(sk1) ).
cnf(co1_2,negated_conjecture,
ssList(sk2) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
neq(sk2,nil) ).
cnf(co1_9,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ) ).
cnf(co1_10,negated_conjecture,
( neq(sk3,nil)
| ~ neq(sk4,nil) ) ).
cnf(co1_11,negated_conjecture,
( rearsegP(sk4,sk3)
| ~ neq(sk4,nil) ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause50,axiom,
ssList(skaf46(X0,X1)) ).
cnf(clause73,axiom,
( app(X0,nil) = X0
| ~ ssList(X0) ) ).
cnf(clause85,axiom,
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(clause131,axiom,
( app(skaf46(X0,X1),X1) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ) ).
cnf(clause173,axiom,
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) != X3 ) ).
cnf(c0,plain,
ssList(sk1),
inference(clausification,[status(esa)],[co1_1]) ).
cnf(c1,plain,
ssList(sk2),
inference(clausification,[status(esa)],[co1_2]) ).
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(c8,plain,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
( neq(sk3,nil)
| ~ neq(sk4,nil) ),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c10,plain,
( rearsegP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c18,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c60,plain,
ssList(skaf46(X0,X1)),
inference(clausification,[status(esa)],[clause50]) ).
cnf(c83,plain,
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause73]) ).
cnf(c95,plain,
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause85]) ).
cnf(c141,plain,
( app(skaf46(X0,X1),X1) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ),
inference(clausification,[status(esa)],[clause131]) ).
cnf(c183,plain,
( ~ ssList(X1)
| ~ ssList(X0)
| app(app(X3,X1),X2) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(X0,X1) ),
inference(clausification,[status(esa)],[clause173]) ).
cnf(d0,plain,
( rearsegP(sk4,sk3)
| ~ neq(sk2,nil) ),
inference(demodulation,[status(thm)],[c10,c4]) ).
cnf(d1,plain,
( rearsegP(sk2,sk3)
| ~ neq(sk2,nil) ),
inference(demodulation,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( rearsegP(sk2,sk1)
| ~ neq(sk2,nil) ),
inference(demodulation,[status(thm)],[d1,c5]) ).
cnf(d3,plain,
rearsegP(sk2,sk1),
inference(resolution,[status(thm)],[c6,d2]) ).
cnf(d4,plain,
( ~ ssList(sk2)
| ~ ssList(sk1)
| app(skaf46(sk2,sk1),sk1) = sk2 ),
inference(resolution,[status(thm)],[c141,d3]) ).
cnf(d5,plain,
( ~ ssList(sk2)
| app(skaf46(sk2,sk1),sk1) = sk2 ),
inference(resolution,[status(thm)],[c0,d4]) ).
cnf(d6,plain,
app(skaf46(sk2,sk1),sk1) = sk2,
inference(resolution,[status(thm)],[c1,d5]) ).
cnf(d7,plain,
( segmentP(X1,sk1)
| ~ ssList(skaf46(sk2,sk1))
| ~ ssList(sk1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(sk2,X0) != X1 ),
inference(superposition,[status(thm)],[d6,c183]) ).
cnf(d8,plain,
( segmentP(X1,sk1)
| ~ ssList(skaf46(sk2,sk1))
| ~ ssList(X0)
| ~ ssList(X1)
| app(sk2,X0) != X1 ),
inference(resolution,[status(thm)],[c0,d7]) ).
cnf(d9,plain,
( segmentP(X1,sk1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(sk2,X0) != X1 ),
inference(resolution,[status(thm)],[c60,d8]) ).
cnf(d10,plain,
app(sk2,nil) = sk2,
inference(resolution,[status(thm)],[c83,c1]) ).
cnf(d11,plain,
( app(app(X1,X0),nil) = app(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c95,c83]) ).
cnf(d12,plain,
( ~ ssList(X0)
| app(app(X0,nil),nil) = app(X0,nil) ),
inference(resolution,[status(thm)],[d11,c18]) ).
cnf(d13,plain,
app(app(sk2,nil),nil) = app(sk2,nil),
inference(resolution,[status(thm)],[d12,c1]) ).
cnf(d14,plain,
app(sk2,nil) = app(sk2,nil),
inference(demodulation,[status(thm)],[d13,d10]) ).
cnf(d15,plain,
sk2 = app(sk2,nil),
inference(demodulation,[status(thm)],[d14,d10]) ).
cnf(d16,plain,
( segmentP(X0,sk1)
| ~ ssList(nil)
| ~ ssList(X0)
| sk2 != X0 ),
inference(superposition,[status(thm)],[d15,d9]) ).
cnf(d17,plain,
( segmentP(X0,sk1)
| ~ ssList(X0)
| sk2 != X0 ),
inference(resolution,[status(thm)],[c18,d16]) ).
cnf(d18,plain,
( segmentP(sk2,sk1)
| ~ ssList(sk2) ),
inference(equality_resolution,[status(thm)],[d17]) ).
cnf(d19,plain,
segmentP(sk2,sk1),
inference(resolution,[status(thm)],[c1,d18]) ).
cnf(d20,plain,
( ~ neq(sk4,nil)
| neq(sk1,nil) ),
inference(demodulation,[status(thm)],[c9,c5]) ).
cnf(d21,plain,
( ~ neq(sk2,nil)
| neq(sk1,nil) ),
inference(demodulation,[status(thm)],[d20,c4]) ).
cnf(d22,plain,
neq(sk1,nil),
inference(resolution,[status(thm)],[c6,d21]) ).
cnf(d23,plain,
~ segmentP(sk2,sk1),
inference(resolution,[status(thm)],[d22,c8]) ).
cnf(d24,plain,
$false,
inference(resolution,[status(thm)],[d23,d19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC122-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n018.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 26 12:20:37 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.55/37.66 % SZS status Unsatisfiable for theBenchmark.p
% 6.55/37.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------