%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC110-1 : 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 : 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 08:54:18 AM UTC 2026
% Result : Unsatisfiable 68.59s 15.01s
% Output : CNFRefutation 68.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 20
% Syntax : Number of clauses : 121 ( 33 unt; 7 nHn; 121 RR)
% Number of literals : 305 ( 103 equ; 184 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 : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 67 ( 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,
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,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil)
| nil = sk2 ) ).
cnf(co1_14,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ) ).
cnf(co1_15,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil)
| nil != sk1 ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause56,axiom,
( segmentP(X0,nil)
| ~ ssList(X0) ) ).
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(clause127,axiom,
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ) ).
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(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,
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,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil)
| nil = sk2 ),
inference(clausification,[status(esa)],[co1_13]) ).
cnf(c13,plain,
( neq(sk2,nil)
| nil != sk1 ),
inference(clausification,[status(esa)],[co1_14]) ).
cnf(c14,plain,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil)
| nil != sk1 ),
inference(clausification,[status(esa)],[co1_15]) ).
cnf(c22,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c70,plain,
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause56]) ).
cnf(c71,plain,
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause57]) ).
cnf(c87,plain,
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause73]) ).
cnf(c88,plain,
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause74]) ).
cnf(c114,plain,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause100]) ).
cnf(c141,plain,
( ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| X0 = X1 ),
inference(clausification,[status(esa)],[clause127]) ).
cnf(c163,plain,
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause149]) ).
cnf(c164,plain,
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(X2,X0) != app(X2,X1)
| X0 = X1 ),
inference(clausification,[status(esa)],[clause150]) ).
cnf(c186,plain,
( ~ ssList(X1)
| ~ segmentP(X1,X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X3)
| segmentP(app(app(X0,X1),X2),X3) ),
inference(clausification,[status(esa)],[clause172]) ).
cnf(d0,plain,
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| X0 = nil ),
inference(resolution,[status(thm)],[c141,c70]) ).
cnf(d1,plain,
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| X0 = nil ),
inference(resolution,[status(thm)],[c22,d0]) ).
cnf(d2,plain,
( ~ ssList(X0)
| ~ segmentP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X2) ),
inference(superposition,[status(thm)],[c88,c186]) ).
cnf(d3,plain,
( segmentP(app(X2,X1),X0)
| ~ segmentP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c22,d2]) ).
cnf(d4,plain,
app(sk1,sk5) = sk4,
inference(demodulation,[status(thm)],[c7,c5]) ).
cnf(d5,plain,
app(sk1,sk5) = sk2,
inference(demodulation,[status(thm)],[d4,c4]) ).
cnf(d6,plain,
( ~ segmentP(sk1,X0)
| ~ ssList(X0)
| ~ ssList(sk5)
| ~ ssList(sk1)
| segmentP(sk2,X0) ),
inference(superposition,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
( segmentP(sk2,X0)
| ~ segmentP(sk1,X0)
| ~ ssList(sk5)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c0,d6]) ).
cnf(d8,plain,
( segmentP(sk2,X0)
| ~ segmentP(sk1,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c6,d7]) ).
cnf(d9,plain,
( ~ ssList(sk1)
| segmentP(sk2,sk1)
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[d8,c71]) ).
cnf(d10,plain,
segmentP(sk2,sk1),
inference(resolution,[status(thm)],[c0,d9]) ).
cnf(d11,plain,
( ~ neq(sk1,nil)
| nil = sk2 ),
inference(resolution,[status(thm)],[d10,c12]) ).
cnf(d12,plain,
( ~ ssList(nil)
| ~ ssList(sk1)
| sk1 = nil
| nil = sk2 ),
inference(resolution,[status(thm)],[d11,c114]) ).
cnf(d13,plain,
( ~ ssList(nil)
| nil = sk2
| sk1 = nil ),
inference(resolution,[status(thm)],[c0,d12]) ).
cnf(d14,plain,
( nil = sk2
| sk1 = nil ),
inference(resolution,[status(thm)],[c22,d13]) ).
cnf(d15,plain,
( sk1 = nil
| segmentP(nil,sk1) ),
inference(superposition,[status(thm)],[d14,d10]) ).
cnf(d16,plain,
( ~ ssList(sk1)
| sk1 = nil
| sk1 = nil ),
inference(resolution,[status(thm)],[d15,d1]) ).
cnf(d17,plain,
sk1 = nil,
inference(resolution,[status(thm)],[c0,d16]) ).
cnf(d18,plain,
( nil = sk4
| nil != sk1 ),
inference(demodulation,[status(thm)],[c10,c5]) ).
cnf(d19,plain,
( nil = sk2
| nil != sk1 ),
inference(demodulation,[status(thm)],[d18,c4]) ).
cnf(d20,plain,
( nil = sk2
| nil != nil ),
inference(demodulation,[status(thm)],[d19,d17]) ).
cnf(d21,plain,
nil = sk2,
inference(equality_resolution,[status(thm)],[d20]) ).
cnf(d22,plain,
( neq(sk2,nil)
| nil != nil ),
inference(demodulation,[status(thm)],[c13,d17]) ).
cnf(d23,plain,
( neq(nil,nil)
| nil != nil ),
inference(demodulation,[status(thm)],[d22,d21]) ).
cnf(d24,plain,
( ~ neq(sk1,nil)
| nil != sk1 ),
inference(resolution,[status(thm)],[d10,c14]) ).
cnf(d25,plain,
( ~ neq(sk1,nil)
| nil != nil ),
inference(demodulation,[status(thm)],[d24,d17]) ).
cnf(d26,plain,
( ~ neq(nil,nil)
| nil != nil ),
inference(demodulation,[status(thm)],[d25,d17]) ).
cnf(d27,plain,
~ neq(nil,nil),
inference(equality_resolution,[status(thm)],[d26]) ).
cnf(d28,plain,
nil != nil,
inference(resolution,[status(thm)],[d27,d23]) ).
cnf(d29,plain,
( ~ segmentP(sk1,sk2)
| ~ ssList(sk2)
| ~ ssList(sk1)
| sk2 = sk1 ),
inference(resolution,[status(thm)],[d10,c141]) ).
cnf(d30,plain,
( ~ segmentP(sk1,sk2)
| ~ ssList(sk2)
| sk2 = sk1 ),
inference(resolution,[status(thm)],[c0,d29]) ).
cnf(d31,plain,
( ~ segmentP(sk1,sk2)
| sk2 = sk1 ),
inference(resolution,[status(thm)],[c1,d30]) ).
cnf(d32,plain,
( ~ segmentP(sk1,sk2)
| sk2 = nil ),
inference(demodulation,[status(thm)],[d31,d17]) ).
cnf(d33,plain,
( ~ segmentP(nil,sk2)
| sk2 = nil ),
inference(demodulation,[status(thm)],[d32,d17]) ).
cnf(d34,plain,
( ~ segmentP(nil,sk2)
| nil = nil ),
inference(demodulation,[status(thm)],[d33,d21]) ).
cnf(d35,plain,
( ~ segmentP(nil,nil)
| nil = nil ),
inference(demodulation,[status(thm)],[d34,d21]) ).
cnf(d36,plain,
app(nil,sk5) = sk2,
inference(demodulation,[status(thm)],[d5,d17]) ).
cnf(d37,plain,
( ~ ssList(sk1)
| ~ ssList(sk5)
| ~ ssList(X0)
| sk5 = X0
| sk2 != app(sk1,X0) ),
inference(superposition,[status(thm)],[d5,c164]) ).
cnf(d38,plain,
( ~ ssList(sk5)
| ~ ssList(X0)
| sk5 = X0
| sk2 != app(sk1,X0) ),
inference(resolution,[status(thm)],[c0,d37]) ).
cnf(d39,plain,
( ~ ssList(X0)
| sk5 = X0
| sk2 != app(sk1,X0) ),
inference(resolution,[status(thm)],[c6,d38]) ).
cnf(d40,plain,
( ~ ssList(sk1)
| ~ ssList(X0)
| ~ ssList(sk5)
| app(sk2,X0) = app(sk1,app(sk5,X0)) ),
inference(superposition,[status(thm)],[d5,c163]) ).
cnf(d41,plain,
( ~ ssList(sk5)
| ~ ssList(X0)
| app(sk2,X0) = app(sk1,app(sk5,X0)) ),
inference(resolution,[status(thm)],[c0,d40]) ).
cnf(d42,plain,
( ~ ssList(X0)
| app(sk2,X0) = app(sk1,app(sk5,X0)) ),
inference(resolution,[status(thm)],[c6,d41]) ).
cnf(d43,plain,
( ~ ssList(sk5)
| ~ ssList(nil)
| app(sk2,nil) = app(sk1,sk5) ),
inference(superposition,[status(thm)],[c87,d42]) ).
cnf(d44,plain,
( ~ ssList(nil)
| ~ ssList(sk5)
| app(sk2,nil) = sk2 ),
inference(demodulation,[status(thm)],[d43,d5]) ).
cnf(d45,plain,
( ~ ssList(nil)
| app(sk2,nil) = sk2 ),
inference(resolution,[status(thm)],[c6,d44]) ).
cnf(d46,plain,
app(sk2,nil) = sk2,
inference(resolution,[status(thm)],[c22,d45]) ).
cnf(d47,plain,
( ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(superposition,[status(thm)],[c88,c163]) ).
cnf(d48,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = app(nil,app(X0,X1)) ),
inference(resolution,[status(thm)],[c22,d47]) ).
cnf(d49,plain,
( ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(nil)
| app(X0,nil) = app(nil,X0) ),
inference(superposition,[status(thm)],[c87,d48]) ).
cnf(d50,plain,
( ~ ssList(X0)
| app(X0,nil) = app(nil,X0) ),
inference(resolution,[status(thm)],[c22,d49]) ).
cnf(d51,plain,
( ~ ssList(sk5)
| ~ ssList(nil)
| app(sk2,nil) = app(sk1,app(nil,sk5)) ),
inference(superposition,[status(thm)],[d50,d42]) ).
cnf(d52,plain,
( ~ ssList(nil)
| ~ ssList(sk5)
| sk2 = app(sk1,app(nil,sk5)) ),
inference(demodulation,[status(thm)],[d51,d46]) ).
cnf(d53,plain,
( ~ ssList(nil)
| sk2 = app(sk1,app(nil,sk5)) ),
inference(resolution,[status(thm)],[c6,d52]) ).
cnf(d54,plain,
sk2 = app(sk1,app(nil,sk5)),
inference(resolution,[status(thm)],[c22,d53]) ).
cnf(d55,plain,
( ~ ssList(app(nil,sk5))
| sk5 = app(nil,sk5)
| sk2 != sk2 ),
inference(superposition,[status(thm)],[d54,d39]) ).
cnf(d56,plain,
( ~ ssList(sk1)
| ~ ssList(sk5)
| app(sk1,sk5) = app(nil,sk2) ),
inference(superposition,[status(thm)],[d5,d48]) ).
cnf(d57,plain,
( ~ ssList(sk5)
| ~ ssList(sk1)
| sk2 = app(nil,sk2) ),
inference(demodulation,[status(thm)],[d56,d5]) ).
cnf(d58,plain,
( ~ ssList(sk5)
| sk2 = app(nil,sk2) ),
inference(resolution,[status(thm)],[c0,d57]) ).
cnf(d59,plain,
sk2 = app(nil,sk2),
inference(resolution,[status(thm)],[c6,d58]) ).
cnf(d60,plain,
( ~ ssList(sk2)
| ~ ssList(nil)
| app(sk2,nil) = app(nil,sk2) ),
inference(superposition,[status(thm)],[d46,d48]) ).
cnf(d61,plain,
( ~ ssList(nil)
| ~ ssList(sk2)
| sk2 = app(nil,sk2) ),
inference(demodulation,[status(thm)],[d60,d46]) ).
cnf(d62,plain,
( ~ ssList(nil)
| ~ ssList(sk2)
| sk2 = sk2 ),
inference(demodulation,[status(thm)],[d61,d59]) ).
cnf(d63,plain,
( ~ ssList(nil)
| sk2 = sk2 ),
inference(resolution,[status(thm)],[c1,d62]) ).
cnf(d64,plain,
sk2 = sk2,
inference(resolution,[status(thm)],[c22,d63]) ).
cnf(d65,plain,
( ~ ssList(app(nil,sk5))
| sk5 = app(nil,sk5) ),
inference(resolution,[status(thm)],[d64,d55]) ).
cnf(d66,plain,
( ~ ssList(app(nil,sk5))
| sk5 = sk2 ),
inference(demodulation,[status(thm)],[d65,d36]) ).
cnf(d67,plain,
( ~ ssList(sk2)
| sk5 = sk2 ),
inference(demodulation,[status(thm)],[d66,d36]) ).
cnf(d68,plain,
sk5 = sk2,
inference(resolution,[status(thm)],[c1,d67]) ).
cnf(d69,plain,
( ~ segmentP(sk5,X1)
| ~ ssList(sk5)
| ~ ssList(X1)
| ~ ssList(sk1)
| ~ ssList(X0)
| segmentP(app(sk2,X0),X1) ),
inference(superposition,[status(thm)],[d5,c186]) ).
cnf(d70,plain,
( segmentP(app(sk2,X1),X0)
| ~ segmentP(sk5,X0)
| ~ ssList(sk5)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c0,d69]) ).
cnf(d71,plain,
( segmentP(app(sk2,X0),X1)
| ~ segmentP(sk5,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c6,d70]) ).
cnf(d72,plain,
( ~ segmentP(sk5,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| segmentP(sk2,X0) ),
inference(superposition,[status(thm)],[d46,d71]) ).
cnf(d73,plain,
( ~ segmentP(sk5,X0)
| segmentP(sk2,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c22,d72]) ).
cnf(d74,plain,
( ~ ssList(sk5)
| segmentP(sk2,sk5)
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[d73,c71]) ).
cnf(d75,plain,
segmentP(sk2,sk5),
inference(resolution,[status(thm)],[c6,d74]) ).
cnf(d76,plain,
segmentP(sk2,sk2),
inference(demodulation,[status(thm)],[d75,d68]) ).
cnf(d77,plain,
segmentP(nil,sk2),
inference(demodulation,[status(thm)],[d76,d21]) ).
cnf(d78,plain,
segmentP(nil,nil),
inference(demodulation,[status(thm)],[d77,d21]) ).
cnf(d79,plain,
nil = nil,
inference(resolution,[status(thm)],[d78,d35]) ).
cnf(d80,plain,
$false,
inference(resolution,[status(thm)],[d79,d28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC110-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n018.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 26 12:18:43 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 68.59/15.01 % SZS status Unsatisfiable for theBenchmark.p
% 68.59/15.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------