%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC336-1 : 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 : n004.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 08:55:01 AM UTC 2026
% Result : Unsatisfiable 19.54s 9.59s
% Output : CNFRefutation 19.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of clauses : 70 ( 13 unt; 39 nHn; 70 RR)
% Number of literals : 176 ( 61 equ; 71 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 22 ( 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,
( nil = sk4
| ssItem(sk5) ) ).
cnf(co1_8,negated_conjecture,
( nil = sk3
| ssItem(sk5) ) ).
cnf(co1_9,negated_conjecture,
( nil = sk4
| ssList(sk6) ) ).
cnf(co1_10,negated_conjecture,
( nil = sk4
| ssList(sk7) ) ).
cnf(co1_11,negated_conjecture,
( nil = sk4
| cons(sk5,nil) = sk3 ) ).
cnf(co1_12,negated_conjecture,
( nil = sk4
| app(app(sk6,sk3),sk7) = sk4 ) ).
cnf(co1_15,negated_conjecture,
( nil = sk3
| ssList(sk6) ) ).
cnf(co1_16,negated_conjecture,
( nil = sk3
| ssList(sk7) ) ).
cnf(co1_17,negated_conjecture,
( nil = sk3
| cons(sk5,nil) = sk3 ) ).
cnf(co1_18,negated_conjecture,
( nil = sk3
| app(app(sk6,sk3),sk7) = sk4 ) ).
cnf(co1_21,negated_conjecture,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) ) ).
cnf(clause4,axiom,
totalorderedP(nil) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause56,axiom,
( segmentP(X0,nil)
| ~ ssList(X0) ) ).
cnf(clause57,axiom,
( segmentP(X0,X0)
| ~ ssList(X0) ) ).
cnf(clause67,axiom,
( totalorderedP(cons(X0,nil))
| ~ ssItem(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,
( nil = sk4
| ssItem(sk5) ),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( nil = sk3
| ssItem(sk5) ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
( nil = sk4
| ssList(sk6) ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
( nil = sk4
| ssList(sk7) ),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c10,plain,
( nil = sk4
| cons(sk5,nil) = sk3 ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
( nil = sk4
| app(app(sk6,sk3),sk7) = sk4 ),
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c14,plain,
( nil = sk3
| ssList(sk6) ),
inference(clausification,[status(esa)],[co1_15]) ).
cnf(c15,plain,
( nil = sk3
| ssList(sk7) ),
inference(clausification,[status(esa)],[co1_16]) ).
cnf(c16,plain,
( nil = sk3
| cons(sk5,nil) = sk3 ),
inference(clausification,[status(esa)],[co1_17]) ).
cnf(c17,plain,
( nil = sk3
| app(app(sk6,sk3),sk7) = sk4 ),
inference(clausification,[status(esa)],[co1_18]) ).
cnf(c20,plain,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
inference(clausification,[status(esa)],[co1_21]) ).
cnf(c24,plain,
totalorderedP(nil),
inference(clausification,[status(esa)],[clause4]) ).
cnf(c28,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c76,plain,
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause56]) ).
cnf(c77,plain,
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause57]) ).
cnf(c87,plain,
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[clause67]) ).
cnf(c192,plain,
( ~ ssList(X3)
| ~ segmentP(X1,X3)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(app(app(X0,X1),X2),X3) ),
inference(clausification,[status(esa)],[clause172]) ).
cnf(d0,plain,
( ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk3) ),
inference(demodulation,[status(thm)],[c20,c5]) ).
cnf(d1,plain,
( ~ segmentP(sk4,sk1)
| ~ totalorderedP(sk3) ),
inference(demodulation,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3) ),
inference(demodulation,[status(thm)],[d1,c5]) ).
cnf(d3,plain,
( nil = sk4
| ~ segmentP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(sk6)
| ~ ssList(sk3)
| ~ ssList(sk7)
| segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c11,c192]) ).
cnf(d4,plain,
( segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(X0)
| nil = sk4 ),
inference(resolution,[status(thm)],[c2,d3]) ).
cnf(d5,plain,
( segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| nil = sk4
| nil = sk4 ),
inference(resolution,[status(thm)],[c8,d4]) ).
cnf(d6,plain,
( segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ ssList(X0)
| nil = sk4
| nil = sk4 ),
inference(resolution,[status(thm)],[c9,d5]) ).
cnf(d7,plain,
( ~ ssList(sk3)
| segmentP(sk4,sk3)
| ~ ssList(sk3)
| nil = sk4 ),
inference(resolution,[status(thm)],[d6,c77]) ).
cnf(d8,plain,
( segmentP(sk4,sk3)
| nil = sk4 ),
inference(resolution,[status(thm)],[c2,d7]) ).
cnf(d9,plain,
( ~ totalorderedP(sk3)
| nil = sk4 ),
inference(resolution,[status(thm)],[d8,d2]) ).
cnf(d10,plain,
( nil = sk4
| ~ ssItem(sk5)
| totalorderedP(sk3) ),
inference(superposition,[status(thm)],[c10,c87]) ).
cnf(d11,plain,
( totalorderedP(sk3)
| nil = sk4
| nil = sk4 ),
inference(resolution,[status(thm)],[c6,d10]) ).
cnf(d12,plain,
( nil = sk4
| nil = sk4 ),
inference(resolution,[status(thm)],[d11,d9]) ).
cnf(d13,plain,
( ~ segmentP(nil,sk3)
| ~ totalorderedP(sk3) ),
inference(demodulation,[status(thm)],[d2,d12]) ).
cnf(d14,plain,
( nil = sk3
| ~ segmentP(sk3,X0)
| ~ ssList(X0)
| ~ ssList(sk6)
| ~ ssList(sk3)
| ~ ssList(sk7)
| segmentP(sk4,X0) ),
inference(superposition,[status(thm)],[c17,c192]) ).
cnf(d15,plain,
( segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ ssList(sk7)
| ~ ssList(sk6)
| ~ ssList(X0)
| nil = sk3 ),
inference(resolution,[status(thm)],[c2,d14]) ).
cnf(d16,plain,
( segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ ssList(sk7)
| ~ ssList(X0)
| nil = sk3
| nil = sk3 ),
inference(resolution,[status(thm)],[c14,d15]) ).
cnf(d17,plain,
( segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ ssList(X0)
| nil = sk3
| nil = sk3 ),
inference(resolution,[status(thm)],[c15,d16]) ).
cnf(d18,plain,
( ~ ssList(sk3)
| segmentP(sk4,sk3)
| ~ ssList(sk3)
| nil = sk3 ),
inference(resolution,[status(thm)],[d17,c77]) ).
cnf(d19,plain,
( segmentP(nil,sk3)
| ~ ssList(sk3)
| nil = sk3 ),
inference(demodulation,[status(thm)],[d18,d12]) ).
cnf(d20,plain,
( segmentP(nil,sk3)
| nil = sk3 ),
inference(resolution,[status(thm)],[c2,d19]) ).
cnf(d21,plain,
( ~ totalorderedP(sk3)
| nil = sk3 ),
inference(resolution,[status(thm)],[d20,d13]) ).
cnf(d22,plain,
( nil = sk3
| ~ ssItem(sk5)
| totalorderedP(sk3) ),
inference(superposition,[status(thm)],[c16,c87]) ).
cnf(d23,plain,
( totalorderedP(sk3)
| nil = sk3
| nil = sk3 ),
inference(resolution,[status(thm)],[c7,d22]) ).
cnf(d24,plain,
( nil = sk3
| nil = sk3 ),
inference(resolution,[status(thm)],[d23,d21]) ).
cnf(d25,plain,
( ~ segmentP(nil,sk3)
| ~ totalorderedP(nil) ),
inference(demodulation,[status(thm)],[d13,d24]) ).
cnf(d26,plain,
( ~ segmentP(nil,nil)
| ~ totalorderedP(nil) ),
inference(demodulation,[status(thm)],[d25,d24]) ).
cnf(d27,plain,
~ segmentP(nil,nil),
inference(resolution,[status(thm)],[c24,d26]) ).
cnf(d28,plain,
~ ssList(nil),
inference(resolution,[status(thm)],[d27,c76]) ).
cnf(d29,plain,
$false,
inference(resolution,[status(thm)],[c28,d28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC336-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n004.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 26 12:49:21 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.54/9.59 % SZS status Unsatisfiable for theBenchmark.p
% 19.54/9.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------