%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC083-1 : 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 : n016.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 08:54:12 AM UTC 2026
% Result : Unsatisfiable 100.74s 20.25s
% Output : CNFRefutation 100.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 21
% Syntax : Number of clauses : 118 ( 41 unt; 2 nHn; 118 RR)
% Number of literals : 308 ( 75 equ; 196 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 : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 79 ( 0 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_8,negated_conjecture,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ) ).
cnf(co1_9,negated_conjecture,
ssList(sk5) ).
cnf(co1_10,negated_conjecture,
ssList(sk6) ).
cnf(co1_11,negated_conjecture,
ssList(sk7) ).
cnf(co1_12,negated_conjecture,
app(app(sk5,sk6),sk7) = sk3 ).
cnf(co1_13,negated_conjecture,
app(sk5,sk7) = sk4 ).
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(clause85,axiom,
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(clause100,axiom,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(clause149,axiom,
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(clause150,axiom,
( X1 = X2
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != app(X0,X2) ) ).
cnf(clause172,axiom,
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(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(c7,plain,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
ssList(sk5),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
ssList(sk6),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c10,plain,
ssList(sk7),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
app(app(sk5,sk6),sk7) = sk3,
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c12,plain,
app(sk5,sk7) = sk4,
inference(clausification,[status(esa)],[co1_13]) ).
cnf(c20,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c69,plain,
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause57]) ).
cnf(c85,plain,
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause73]) ).
cnf(c86,plain,
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause74]) ).
cnf(c97,plain,
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause85]) ).
cnf(c112,plain,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause100]) ).
cnf(c161,plain,
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause149]) ).
cnf(c162,plain,
( X1 = X2
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(X0,X1) != app(X0,X2) ),
inference(clausification,[status(esa)],[clause150]) ).
cnf(c184,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(c185,plain,
( ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,X1),X3) != X0
| segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause173]) ).
cnf(d0,plain,
( ~ ssList(X0)
| ~ segmentP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(nil)
| segmentP(app(X0,X1),X2) ),
inference(superposition,[status(thm)],[c86,c184]) ).
cnf(d1,plain,
( segmentP(app(X2,X1),X0)
| ~ segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c20,d0]) ).
cnf(d2,plain,
app(sk5,sk7) = sk2,
inference(demodulation,[status(thm)],[c12,c4]) ).
cnf(d3,plain,
( ~ segmentP(sk5,X0)
| ~ ssList(X0)
| ~ ssList(sk7)
| ~ ssList(sk5)
| segmentP(sk2,X0) ),
inference(superposition,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ segmentP(sk5,X0)
| segmentP(sk2,X0)
| ~ ssList(sk7)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c8,d3]) ).
cnf(d5,plain,
( ~ segmentP(sk5,X0)
| segmentP(sk2,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c10,d4]) ).
cnf(d6,plain,
( ~ ssList(sk5)
| segmentP(sk2,sk5)
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[d5,c69]) ).
cnf(d7,plain,
segmentP(sk2,sk5),
inference(resolution,[status(thm)],[c8,d6]) ).
cnf(d8,plain,
( ~ segmentP(sk1,sk5)
| ~ neq(sk5,nil)
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[d7,c7]) ).
cnf(d9,plain,
( ~ segmentP(sk1,sk5)
| ~ neq(sk5,nil) ),
inference(resolution,[status(thm)],[c8,d8]) ).
cnf(d10,plain,
app(app(sk5,sk6),sk7) = sk1,
inference(demodulation,[status(thm)],[c11,c5]) ).
cnf(d11,plain,
( ~ ssList(sk7)
| ~ ssList(sk5)
| ~ ssList(sk6)
| app(sk5,app(sk6,sk7)) = sk1 ),
inference(superposition,[status(thm)],[c161,d10]) ).
cnf(d12,plain,
( ~ ssList(sk7)
| ~ ssList(sk6)
| app(sk5,app(sk6,sk7)) = sk1 ),
inference(resolution,[status(thm)],[c8,d11]) ).
cnf(d13,plain,
( ~ ssList(sk7)
| app(sk5,app(sk6,sk7)) = sk1 ),
inference(resolution,[status(thm)],[c9,d12]) ).
cnf(d14,plain,
app(sk5,app(sk6,sk7)) = sk1,
inference(resolution,[status(thm)],[c10,d13]) ).
cnf(d15,plain,
( ~ segmentP(sk5,X0)
| ~ ssList(X0)
| ~ ssList(app(sk6,sk7))
| ~ ssList(sk5)
| segmentP(sk1,X0) ),
inference(superposition,[status(thm)],[d14,d1]) ).
cnf(d16,plain,
( ~ segmentP(sk5,X0)
| segmentP(sk1,X0)
| ~ ssList(app(sk6,sk7))
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c8,d15]) ).
cnf(d17,plain,
( ~ ssList(sk7)
| ~ ssList(sk6)
| ~ segmentP(sk5,X0)
| segmentP(sk1,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[d16,c97]) ).
cnf(d18,plain,
( ~ segmentP(sk5,X0)
| segmentP(sk1,X0)
| ~ ssList(sk7)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c9,d17]) ).
cnf(d19,plain,
( ~ segmentP(sk5,X0)
| segmentP(sk1,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c10,d18]) ).
cnf(d20,plain,
( ~ ssList(sk5)
| segmentP(sk1,sk5)
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[d19,c69]) ).
cnf(d21,plain,
segmentP(sk1,sk5),
inference(resolution,[status(thm)],[c8,d20]) ).
cnf(d22,plain,
~ neq(sk5,nil),
inference(resolution,[status(thm)],[d21,d9]) ).
cnf(d23,plain,
( ~ ssList(nil)
| ~ ssList(sk5)
| sk5 = nil ),
inference(resolution,[status(thm)],[d22,c112]) ).
cnf(d24,plain,
( ~ ssList(nil)
| sk5 = nil ),
inference(resolution,[status(thm)],[c8,d23]) ).
cnf(d25,plain,
sk5 = nil,
inference(resolution,[status(thm)],[c20,d24]) ).
cnf(d26,plain,
app(nil,sk7) = sk2,
inference(demodulation,[status(thm)],[d2,d25]) ).
cnf(d27,plain,
( ~ ssList(sk7)
| ~ ssList(sk5)
| ~ ssList(X0)
| sk7 = X0
| sk2 != app(sk5,X0) ),
inference(superposition,[status(thm)],[d2,c162]) ).
cnf(d28,plain,
( ~ ssList(sk7)
| ~ ssList(X0)
| sk7 = X0
| sk2 != app(sk5,X0) ),
inference(resolution,[status(thm)],[c8,d27]) ).
cnf(d29,plain,
( ~ ssList(X0)
| sk7 = X0
| sk2 != app(sk5,X0) ),
inference(resolution,[status(thm)],[c10,d28]) ).
cnf(d30,plain,
( ~ ssList(X0)
| ~ ssList(sk5)
| ~ ssList(sk7)
| app(sk2,X0) = app(sk5,app(sk7,X0)) ),
inference(superposition,[status(thm)],[d2,c161]) ).
cnf(d31,plain,
( ~ ssList(sk7)
| ~ ssList(X0)
| app(sk2,X0) = app(sk5,app(sk7,X0)) ),
inference(resolution,[status(thm)],[c8,d30]) ).
cnf(d32,plain,
( ~ ssList(X0)
| app(sk2,X0) = app(sk5,app(sk7,X0)) ),
inference(resolution,[status(thm)],[c10,d31]) ).
cnf(d33,plain,
( ~ ssList(sk7)
| ~ ssList(nil)
| app(sk2,nil) = app(sk5,sk7) ),
inference(superposition,[status(thm)],[c85,d32]) ).
cnf(d34,plain,
( ~ ssList(sk7)
| ~ ssList(nil)
| app(sk2,nil) = sk2 ),
inference(demodulation,[status(thm)],[d33,d2]) ).
cnf(d35,plain,
( ~ ssList(nil)
| app(sk2,nil) = sk2 ),
inference(resolution,[status(thm)],[c10,d34]) ).
cnf(d36,plain,
app(sk2,nil) = sk2,
inference(resolution,[status(thm)],[c20,d35]) ).
cnf(d37,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(superposition,[status(thm)],[c86,c161]) ).
cnf(d38,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(resolution,[status(thm)],[c20,d37]) ).
cnf(d39,plain,
( ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(nil)
| app(X0,nil) = app(nil,X0) ),
inference(superposition,[status(thm)],[c85,d38]) ).
cnf(d40,plain,
( ~ ssList(X0)
| app(X0,nil) = app(nil,X0) ),
inference(resolution,[status(thm)],[c20,d39]) ).
cnf(d41,plain,
( ~ ssList(sk7)
| ~ ssList(nil)
| app(sk2,nil) = app(sk5,app(nil,sk7)) ),
inference(superposition,[status(thm)],[d40,d32]) ).
cnf(d42,plain,
( ~ ssList(sk7)
| ~ ssList(nil)
| sk2 = app(sk5,app(nil,sk7)) ),
inference(demodulation,[status(thm)],[d41,d36]) ).
cnf(d43,plain,
( ~ ssList(nil)
| sk2 = app(sk5,app(nil,sk7)) ),
inference(resolution,[status(thm)],[c10,d42]) ).
cnf(d44,plain,
sk2 = app(sk5,app(nil,sk7)),
inference(resolution,[status(thm)],[c20,d43]) ).
cnf(d45,plain,
( ~ ssList(app(nil,sk7))
| sk7 = app(nil,sk7)
| sk2 != sk2 ),
inference(superposition,[status(thm)],[d44,d29]) ).
cnf(d46,plain,
( ~ ssList(sk5)
| ~ ssList(sk7)
| app(sk5,sk7) = app(nil,sk2) ),
inference(superposition,[status(thm)],[d2,d38]) ).
cnf(d47,plain,
( ~ ssList(sk7)
| ~ ssList(sk5)
| sk2 = app(nil,sk2) ),
inference(demodulation,[status(thm)],[d46,d2]) ).
cnf(d48,plain,
( ~ ssList(sk7)
| sk2 = app(nil,sk2) ),
inference(resolution,[status(thm)],[c8,d47]) ).
cnf(d49,plain,
sk2 = app(nil,sk2),
inference(resolution,[status(thm)],[c10,d48]) ).
cnf(d50,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| app(sk2,nil) = app(nil,sk2) ),
inference(superposition,[status(thm)],[d36,d38]) ).
cnf(d51,plain,
( ~ ssList(nil)
| ~ ssList(sk2)
| sk2 = app(nil,sk2) ),
inference(demodulation,[status(thm)],[d50,d36]) ).
cnf(d52,plain,
( ~ ssList(nil)
| ~ ssList(sk2)
| sk2 = sk2 ),
inference(demodulation,[status(thm)],[d51,d49]) ).
cnf(d53,plain,
( ~ ssList(nil)
| sk2 = sk2 ),
inference(resolution,[status(thm)],[c1,d52]) ).
cnf(d54,plain,
sk2 = sk2,
inference(resolution,[status(thm)],[c20,d53]) ).
cnf(d55,plain,
( ~ ssList(app(nil,sk7))
| sk7 = app(nil,sk7) ),
inference(resolution,[status(thm)],[d54,d45]) ).
cnf(d56,plain,
( ~ ssList(app(nil,sk7))
| sk7 = sk2 ),
inference(demodulation,[status(thm)],[d55,d26]) ).
cnf(d57,plain,
( ~ ssList(sk2)
| sk7 = sk2 ),
inference(demodulation,[status(thm)],[d56,d26]) ).
cnf(d58,plain,
sk7 = sk2,
inference(resolution,[status(thm)],[c1,d57]) ).
cnf(d59,plain,
app(app(nil,sk6),sk7) = sk1,
inference(demodulation,[status(thm)],[d10,d25]) ).
cnf(d60,plain,
app(app(nil,sk6),sk2) = sk1,
inference(demodulation,[status(thm)],[d59,d58]) ).
cnf(d61,plain,
( ~ ssList(X0)
| ~ ssList(X0)
| X0 = app(nil,X0) ),
inference(superposition,[status(thm)],[c85,d40]) ).
cnf(d62,plain,
( ~ ssList(sk6)
| app(sk6,sk2) = sk1 ),
inference(superposition,[status(thm)],[d61,d60]) ).
cnf(d63,plain,
app(sk6,sk2) = sk1,
inference(resolution,[status(thm)],[c9,d62]) ).
cnf(d64,plain,
( ~ ssList(app(X0,X1))
| segmentP(X2,X1)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(X0,X1) != X2 ),
inference(superposition,[status(thm)],[c85,c185]) ).
cnf(d65,plain,
( segmentP(X2,X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X0,X1) != X2 ),
inference(resolution,[status(thm)],[c20,d64]) ).
cnf(d66,plain,
( segmentP(app(X0,X1),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X0,X1)) ),
inference(equality_resolution,[status(thm)],[d65]) ).
cnf(d67,plain,
( ~ ssList(app(sk6,sk2))
| ~ ssList(sk6)
| ~ ssList(sk2)
| segmentP(sk1,sk2) ),
inference(superposition,[status(thm)],[d63,d66]) ).
cnf(d68,plain,
( segmentP(sk1,sk2)
| ~ ssList(sk1)
| ~ ssList(sk6)
| ~ ssList(sk2) ),
inference(demodulation,[status(thm)],[d67,d63]) ).
cnf(d69,plain,
( segmentP(sk1,sk2)
| ~ ssList(sk6)
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[c0,d68]) ).
cnf(d70,plain,
( segmentP(sk1,sk2)
| ~ ssList(sk6) ),
inference(resolution,[status(thm)],[c1,d69]) ).
cnf(d71,plain,
segmentP(sk1,sk2),
inference(resolution,[status(thm)],[c9,d70]) ).
cnf(d72,plain,
( ~ segmentP(sk1,sk2)
| ~ neq(sk2,nil)
| ~ ssList(sk2)
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[c69,c7]) ).
cnf(d73,plain,
( ~ segmentP(sk1,sk2)
| ~ neq(sk2,nil) ),
inference(resolution,[status(thm)],[c1,d72]) ).
cnf(d74,plain,
~ segmentP(sk1,sk2),
inference(resolution,[status(thm)],[c6,d73]) ).
cnf(d75,plain,
$false,
inference(resolution,[status(thm)],[d74,d71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC083-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.64 % Computer : n016.cluster.edu
% 0.16/5.64 % Model : x86_64 x86_64
% 0.16/5.64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.64 % Memory : 8046.5625MB
% 0.16/5.64 % OS : Linux 6.8.0-71-generic
% 0.16/5.64 % CPULimit : 300
% 0.16/5.64 % WCLimit : 300
% 0.16/5.64 % DateTime : Sat Sep 26 12:17:36 UTC 2026
% 0.16/5.64 % CPUTime :
% 0.16/5.64 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 100.74/20.25 % SZS status Unsatisfiable for theBenchmark.p
% 100.74/20.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------