%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC030-1 : 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 : n005.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 08:54:00 AM UTC 2026
% Result : Unsatisfiable 17.09s 7.27s
% Output : CNFRefutation 17.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of clauses : 60 ( 15 unt; 30 nHn; 60 RR)
% Number of literals : 127 ( 102 equ; 37 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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,
ssList(sk6) ).
cnf(co1_9,negated_conjecture,
app(sk5,sk6) = sk4 ).
cnf(co1_10,negated_conjecture,
app(sk6,sk5) = sk3 ).
cnf(co1_11,negated_conjecture,
( nil = sk1
| nil = sk2 ) ).
cnf(co1_14,negated_conjecture,
( nil != sk2
| nil != sk1 ) ).
cnf(clause73,axiom,
( app(X0,nil) = X0
| ~ ssList(X0) ) ).
cnf(clause74,axiom,
( app(nil,X0) = X0
| ~ ssList(X0) ) ).
cnf(clause118,axiom,
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ) ).
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,
ssList(sk6),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
app(sk5,sk6) = sk4,
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
app(sk6,sk5) = sk3,
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c10,plain,
( nil = sk1
| nil = sk2 ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c13,plain,
( nil != sk2
| nil != sk1 ),
inference(clausification,[status(esa)],[co1_14]) ).
cnf(c86,plain,
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause73]) ).
cnf(c87,plain,
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause74]) ).
cnf(c131,plain,
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(clausification,[status(esa)],[clause118]) ).
cnf(d0,plain,
app(sk5,sk6) = sk2,
inference(demodulation,[status(thm)],[c8,c4]) ).
cnf(d1,plain,
app(sk6,sk5) = sk1,
inference(demodulation,[status(thm)],[c9,c5]) ).
cnf(d2,plain,
( ~ ssList(sk6)
| ~ ssList(sk5)
| nil = sk6
| sk1 != nil ),
inference(superposition,[status(thm)],[d1,c131]) ).
cnf(d3,plain,
( ~ ssList(sk6)
| nil = sk6
| sk1 != nil ),
inference(resolution,[status(thm)],[c6,d2]) ).
cnf(d4,plain,
( nil = sk6
| sk1 != nil ),
inference(resolution,[status(thm)],[c7,d3]) ).
cnf(d5,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| nil = sk5
| sk2 != nil ),
inference(superposition,[status(thm)],[d0,c131]) ).
cnf(d6,plain,
( ~ ssList(sk6)
| nil = sk5
| sk2 != nil ),
inference(resolution,[status(thm)],[c6,d5]) ).
cnf(d7,plain,
( nil = sk5
| sk2 != nil ),
inference(resolution,[status(thm)],[c7,d6]) ).
cnf(d8,plain,
( nil = sk1
| nil = sk5
| nil != nil ),
inference(superposition,[status(thm)],[c10,d7]) ).
cnf(d9,plain,
( nil = sk5
| nil = sk1 ),
inference(equality_resolution,[status(thm)],[d8]) ).
cnf(d10,plain,
( nil = sk1
| app(nil,sk6) = sk2 ),
inference(superposition,[status(thm)],[d9,d0]) ).
cnf(d11,plain,
( ~ ssList(sk6)
| nil = sk1
| sk6 = sk2 ),
inference(superposition,[status(thm)],[c87,d10]) ).
cnf(d12,plain,
( nil = sk1
| sk6 = sk2 ),
inference(resolution,[status(thm)],[c7,d11]) ).
cnf(d13,plain,
( sk6 = sk2
| nil = sk6
| nil != nil ),
inference(superposition,[status(thm)],[d12,d4]) ).
cnf(d14,plain,
( nil = sk6
| sk6 = sk2 ),
inference(equality_resolution,[status(thm)],[d13]) ).
cnf(d15,plain,
( sk6 = sk2
| app(sk5,nil) = sk2 ),
inference(superposition,[status(thm)],[d14,d0]) ).
cnf(d16,plain,
( ~ ssList(sk5)
| sk6 = sk2
| sk5 = sk2 ),
inference(superposition,[status(thm)],[c86,d15]) ).
cnf(d17,plain,
( sk6 = sk2
| sk5 = sk2 ),
inference(resolution,[status(thm)],[c6,d16]) ).
cnf(d18,plain,
( nil = sk1
| app(sk6,nil) = sk1 ),
inference(superposition,[status(thm)],[d9,d1]) ).
cnf(d19,plain,
( ~ ssList(sk6)
| nil = sk1
| sk6 = sk1 ),
inference(superposition,[status(thm)],[c86,d18]) ).
cnf(d20,plain,
( nil = sk1
| sk6 = sk1 ),
inference(resolution,[status(thm)],[c7,d19]) ).
cnf(d21,plain,
( sk6 = sk1
| nil = sk6
| nil != nil ),
inference(superposition,[status(thm)],[d20,d4]) ).
cnf(d22,plain,
( nil = sk6
| sk6 = sk1 ),
inference(equality_resolution,[status(thm)],[d21]) ).
cnf(d23,plain,
( sk6 = sk1
| app(sk5,nil) = sk2 ),
inference(superposition,[status(thm)],[d22,d0]) ).
cnf(d24,plain,
( ~ ssList(sk5)
| sk6 = sk1
| sk5 = sk2 ),
inference(superposition,[status(thm)],[c86,d23]) ).
cnf(d25,plain,
( sk6 = sk1
| sk5 = sk2 ),
inference(resolution,[status(thm)],[c6,d24]) ).
cnf(d26,plain,
( sk5 = sk2
| sk5 = sk2
| sk1 = sk2 ),
inference(superposition,[status(thm)],[d25,d17]) ).
cnf(d27,plain,
( sk6 = sk2
| app(nil,sk5) = sk1 ),
inference(superposition,[status(thm)],[d14,d1]) ).
cnf(d28,plain,
( sk6 = sk2
| ~ ssList(sk5)
| sk1 = sk5 ),
inference(superposition,[status(thm)],[d27,c87]) ).
cnf(d29,plain,
( sk6 = sk2
| sk1 = sk5 ),
inference(resolution,[status(thm)],[c6,d28]) ).
cnf(d30,plain,
( sk6 = sk1
| app(nil,sk5) = sk1 ),
inference(superposition,[status(thm)],[d22,d1]) ).
cnf(d31,plain,
( sk6 = sk1
| ~ ssList(sk5)
| sk1 = sk5 ),
inference(superposition,[status(thm)],[d30,c87]) ).
cnf(d32,plain,
( sk6 = sk1
| sk1 = sk5 ),
inference(resolution,[status(thm)],[c6,d31]) ).
cnf(d33,plain,
( sk1 = sk5
| sk1 = sk5
| sk1 = sk2 ),
inference(superposition,[status(thm)],[d32,d29]) ).
cnf(d34,plain,
( sk1 = sk2
| sk1 = sk2
| sk1 = sk2 ),
inference(superposition,[status(thm)],[d33,d26]) ).
cnf(d35,plain,
( nil = sk1
| nil = sk1 ),
inference(demodulation,[status(thm)],[c10,d34]) ).
cnf(d36,plain,
( nil != sk1
| nil != sk1 ),
inference(demodulation,[status(thm)],[c13,d34]) ).
cnf(d37,plain,
$false,
inference(resolution,[status(thm)],[d36,d35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC030-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n005.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sat Sep 26 12:05:47 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.09/7.27 % SZS status Unsatisfiable for theBenchmark.p
% 17.09/7.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------