%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC075-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 08:54:11 AM UTC 2026
% Result : Unsatisfiable 83.63s 23.10s
% Output : CNFRefutation 83.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 17
% Syntax : Number of clauses : 103 ( 33 unt; 2 nHn; 103 RR)
% Number of literals : 266 ( 74 equ; 167 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 70 ( 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,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ) ).
cnf(co1_8,negated_conjecture,
ssList(sk5) ).
cnf(co1_9,negated_conjecture,
ssList(sk6) ).
cnf(co1_10,negated_conjecture,
app(sk5,sk6) = sk4 ).
cnf(co1_11,negated_conjecture,
app(sk6,sk5) = sk3 ).
cnf(co1_12,negated_conjecture,
( nil != sk1
| nil != sk2 ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause57,axiom,
( segmentP(X0,X0)
| ~ ssList(X0) ) ).
cnf(clause73,axiom,
( app(X0,nil) = X0
| ~ ssList(X0) ) ).
cnf(clause74,axiom,
( app(nil,X0) = X0
| ~ ssList(X0) ) ).
cnf(clause100,axiom,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(clause118,axiom,
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ) ).
cnf(clause149,axiom,
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(clause172,axiom,
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(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,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
ssList(sk5),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
ssList(sk6),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
app(sk5,sk6) = sk4,
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c10,plain,
app(sk6,sk5) = sk3,
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
( nil != sk1
| nil != sk2 ),
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c19,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c68,plain,
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause57]) ).
cnf(c84,plain,
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause73]) ).
cnf(c85,plain,
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause74]) ).
cnf(c111,plain,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause100]) ).
cnf(c129,plain,
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(clausification,[status(esa)],[clause118]) ).
cnf(c160,plain,
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause149]) ).
cnf(c183,plain,
( ~ ssList(X2)
| ~ ssList(X3)
| segmentP(app(app(X2,X0),X3),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ),
inference(clausification,[status(esa)],[clause172]) ).
cnf(d0,plain,
( ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X0)
| X0 = nil ),
inference(resolution,[status(thm)],[c111,c6]) ).
cnf(d1,plain,
( ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0)
| ~ ssList(X0)
| X0 = nil ),
inference(resolution,[status(thm)],[c19,d0]) ).
cnf(d2,plain,
( ~ ssList(X0)
| ~ segmentP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(nil)
| segmentP(app(X0,X1),X2) ),
inference(superposition,[status(thm)],[c85,c183]) ).
cnf(d3,plain,
( segmentP(app(X2,X1),X0)
| ~ segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c19,d2]) ).
cnf(d4,plain,
app(sk5,sk6) = sk2,
inference(demodulation,[status(thm)],[c9,c4]) ).
cnf(d5,plain,
( ~ segmentP(sk5,X0)
| ~ ssList(X0)
| ~ ssList(sk6)
| ~ ssList(sk5)
| segmentP(sk2,X0) ),
inference(superposition,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
( ~ segmentP(sk5,X0)
| segmentP(sk2,X0)
| ~ ssList(sk6)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c7,d5]) ).
cnf(d7,plain,
( ~ segmentP(sk5,X0)
| segmentP(sk2,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c8,d6]) ).
cnf(d8,plain,
( ~ ssList(sk5)
| segmentP(sk2,sk5)
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[d7,c68]) ).
cnf(d9,plain,
segmentP(sk2,sk5),
inference(resolution,[status(thm)],[c7,d8]) ).
cnf(d10,plain,
( ~ segmentP(sk1,sk5)
| ~ ssList(sk5)
| sk5 = nil ),
inference(resolution,[status(thm)],[d9,d1]) ).
cnf(d11,plain,
( ~ segmentP(sk1,sk5)
| sk5 = nil ),
inference(resolution,[status(thm)],[c7,d10]) ).
cnf(d12,plain,
app(sk6,sk5) = sk1,
inference(demodulation,[status(thm)],[c10,c5]) ).
cnf(d13,plain,
( ~ segmentP(sk5,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk5)
| ~ ssList(sk6)
| segmentP(app(sk1,X0),X1) ),
inference(superposition,[status(thm)],[d12,c183]) ).
cnf(d14,plain,
( segmentP(app(sk1,X1),X0)
| ~ segmentP(sk5,X0)
| ~ ssList(sk6)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c7,d13]) ).
cnf(d15,plain,
( segmentP(app(sk1,X0),X1)
| ~ segmentP(sk5,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c8,d14]) ).
cnf(d16,plain,
( ~ ssList(X0)
| ~ ssList(sk6)
| ~ ssList(sk5)
| app(sk1,X0) = app(sk6,app(sk5,X0)) ),
inference(superposition,[status(thm)],[d12,c160]) ).
cnf(d17,plain,
( ~ ssList(sk6)
| ~ ssList(X0)
| app(sk1,X0) = app(sk6,app(sk5,X0)) ),
inference(resolution,[status(thm)],[c7,d16]) ).
cnf(d18,plain,
( ~ ssList(X0)
| app(sk1,X0) = app(sk6,app(sk5,X0)) ),
inference(resolution,[status(thm)],[c8,d17]) ).
cnf(d19,plain,
( ~ ssList(sk5)
| ~ ssList(nil)
| app(sk1,nil) = app(sk6,sk5) ),
inference(superposition,[status(thm)],[c84,d18]) ).
cnf(d20,plain,
( ~ ssList(sk5)
| ~ ssList(nil)
| app(sk1,nil) = sk1 ),
inference(demodulation,[status(thm)],[d19,d12]) ).
cnf(d21,plain,
( ~ ssList(nil)
| app(sk1,nil) = sk1 ),
inference(resolution,[status(thm)],[c7,d20]) ).
cnf(d22,plain,
app(sk1,nil) = sk1,
inference(resolution,[status(thm)],[c19,d21]) ).
cnf(d23,plain,
( ~ segmentP(sk5,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| segmentP(sk1,X0) ),
inference(superposition,[status(thm)],[d22,d15]) ).
cnf(d24,plain,
( ~ segmentP(sk5,X0)
| segmentP(sk1,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c19,d23]) ).
cnf(d25,plain,
( ~ ssList(sk5)
| segmentP(sk1,sk5)
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[d24,c68]) ).
cnf(d26,plain,
segmentP(sk1,sk5),
inference(resolution,[status(thm)],[c7,d25]) ).
cnf(d27,plain,
sk5 = nil,
inference(resolution,[status(thm)],[d26,d11]) ).
cnf(d28,plain,
app(sk6,nil) = sk1,
inference(demodulation,[status(thm)],[d12,d27]) ).
cnf(d29,plain,
( ~ ssList(sk6)
| sk1 = sk6 ),
inference(superposition,[status(thm)],[d28,c84]) ).
cnf(d30,plain,
sk1 = sk6,
inference(resolution,[status(thm)],[c8,d29]) ).
cnf(d31,plain,
( ~ segmentP(sk6,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk6)
| ~ ssList(sk5)
| segmentP(app(sk2,X0),X1) ),
inference(superposition,[status(thm)],[d4,c183]) ).
cnf(d32,plain,
( segmentP(app(sk2,X1),X0)
| ~ segmentP(sk6,X0)
| ~ ssList(sk6)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c7,d31]) ).
cnf(d33,plain,
( segmentP(app(sk2,X0),X1)
| ~ segmentP(sk6,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c8,d32]) ).
cnf(d34,plain,
( ~ ssList(X0)
| ~ ssList(sk5)
| ~ ssList(sk6)
| app(sk2,X0) = app(sk5,app(sk6,X0)) ),
inference(superposition,[status(thm)],[d4,c160]) ).
cnf(d35,plain,
( ~ ssList(sk6)
| ~ ssList(X0)
| app(sk2,X0) = app(sk5,app(sk6,X0)) ),
inference(resolution,[status(thm)],[c7,d34]) ).
cnf(d36,plain,
( ~ ssList(X0)
| app(sk2,X0) = app(sk5,app(sk6,X0)) ),
inference(resolution,[status(thm)],[c8,d35]) ).
cnf(d37,plain,
( ~ ssList(sk6)
| ~ ssList(nil)
| app(sk2,nil) = app(sk5,sk6) ),
inference(superposition,[status(thm)],[c84,d36]) ).
cnf(d38,plain,
( ~ ssList(sk6)
| ~ ssList(nil)
| app(sk2,nil) = sk2 ),
inference(demodulation,[status(thm)],[d37,d4]) ).
cnf(d39,plain,
( ~ ssList(nil)
| app(sk2,nil) = sk2 ),
inference(resolution,[status(thm)],[c8,d38]) ).
cnf(d40,plain,
app(sk2,nil) = sk2,
inference(resolution,[status(thm)],[c19,d39]) ).
cnf(d41,plain,
( ~ segmentP(sk6,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| segmentP(sk2,X0) ),
inference(superposition,[status(thm)],[d40,d33]) ).
cnf(d42,plain,
( ~ segmentP(sk6,X0)
| segmentP(sk2,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c19,d41]) ).
cnf(d43,plain,
( ~ ssList(sk6)
| segmentP(sk2,sk6)
| ~ ssList(sk6) ),
inference(resolution,[status(thm)],[d42,c68]) ).
cnf(d44,plain,
segmentP(sk2,sk6),
inference(resolution,[status(thm)],[c8,d43]) ).
cnf(d45,plain,
( ~ segmentP(sk1,sk6)
| ~ ssList(sk6)
| sk6 = nil ),
inference(resolution,[status(thm)],[d44,d1]) ).
cnf(d46,plain,
( ~ segmentP(sk1,sk6)
| sk6 = nil ),
inference(resolution,[status(thm)],[c8,d45]) ).
cnf(d47,plain,
( ~ segmentP(sk1,sk6)
| sk1 = nil ),
inference(demodulation,[status(thm)],[d46,d30]) ).
cnf(d48,plain,
( ~ segmentP(sk1,sk1)
| sk1 = nil ),
inference(demodulation,[status(thm)],[d47,d30]) ).
cnf(d49,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(superposition,[status(thm)],[c85,c160]) ).
cnf(d50,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(resolution,[status(thm)],[c19,d49]) ).
cnf(d51,plain,
( ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(nil)
| app(X0,nil) = app(nil,X0) ),
inference(superposition,[status(thm)],[c84,d50]) ).
cnf(d52,plain,
( ~ ssList(X0)
| app(X0,nil) = app(nil,X0) ),
inference(resolution,[status(thm)],[c19,d51]) ).
cnf(d53,plain,
( ~ ssList(X0)
| ~ ssList(X0)
| X0 = app(nil,X0) ),
inference(superposition,[status(thm)],[c84,d52]) ).
cnf(d54,plain,
app(nil,sk6) = sk2,
inference(demodulation,[status(thm)],[d4,d27]) ).
cnf(d55,plain,
( ~ ssList(sk6)
| sk6 = sk2 ),
inference(superposition,[status(thm)],[d54,d53]) ).
cnf(d56,plain,
( ~ ssList(sk6)
| sk1 = sk2 ),
inference(demodulation,[status(thm)],[d55,d30]) ).
cnf(d57,plain,
( ~ ssList(sk1)
| sk1 = sk2 ),
inference(demodulation,[status(thm)],[d56,d30]) ).
cnf(d58,plain,
sk1 = sk2,
inference(resolution,[status(thm)],[c0,d57]) ).
cnf(d59,plain,
segmentP(sk2,sk1),
inference(demodulation,[status(thm)],[d44,d30]) ).
cnf(d60,plain,
segmentP(sk1,sk1),
inference(demodulation,[status(thm)],[d59,d58]) ).
cnf(d61,plain,
sk1 = nil,
inference(resolution,[status(thm)],[d60,d48]) ).
cnf(d62,plain,
( ~ ssList(sk6)
| ~ ssList(sk5)
| nil = sk6
| sk1 != nil ),
inference(superposition,[status(thm)],[d12,c129]) ).
cnf(d63,plain,
( ~ ssList(sk6)
| nil = sk6
| sk1 != nil ),
inference(resolution,[status(thm)],[c7,d62]) ).
cnf(d64,plain,
( nil = sk6
| sk1 != nil ),
inference(resolution,[status(thm)],[c8,d63]) ).
cnf(d65,plain,
( nil = sk1
| sk1 != nil ),
inference(demodulation,[status(thm)],[d64,d30]) ).
cnf(d66,plain,
( nil != sk1
| nil != sk1 ),
inference(demodulation,[status(thm)],[c11,d58]) ).
cnf(d67,plain,
sk1 != nil,
inference(resolution,[status(thm)],[d66,d65]) ).
cnf(d68,plain,
$false,
inference(resolution,[status(thm)],[d67,d61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC075-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n019.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 12:11:35 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 83.63/23.10 % SZS status Unsatisfiable for theBenchmark.p
% 83.63/23.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------