%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC323-1 : 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 : n010.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 08:54:59 AM UTC 2026
% Result : Unsatisfiable 39.65s 11.93s
% Output : CNFRefutation 39.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 14
% Syntax : Number of clauses : 66 ( 16 unt; 14 nHn; 66 RR)
% Number of literals : 157 ( 64 equ; 96 neg)
% Maximal clause size : 5 ( 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; 7 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_4,negated_conjecture,
ssList(sk4) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
( app(X1,X0) != sk1
| app(X0,X1) != sk2
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(co1_8,negated_conjecture,
( nil != sk4
| nil = sk3 ) ).
cnf(co1_9,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ) ).
cnf(co1_10,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ) ).
cnf(co1_11,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk4 ) ).
cnf(co1_12,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk3 ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause73,axiom,
( app(X0,nil) = X0
| ~ ssList(X0) ) ).
cnf(clause74,axiom,
( app(nil,X0) = X0
| ~ ssList(X0) ) ).
cnf(clause86,axiom,
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ) ).
cnf(clause100,axiom,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(c3,plain,
ssList(sk4),
inference(clausification,[status(esa)],[co1_4]) ).
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,
( app(X1,X0) != sk1
| app(X0,X1) != sk2
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( nil != sk4
| nil = sk3 ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
( ~ neq(sk4,nil)
| ssList(sk6) ),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c10,plain,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk4 ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk3 ),
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c19,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
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(c97,plain,
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[clause86]) ).
cnf(c111,plain,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause100]) ).
cnf(d0,plain,
( ~ ssList(X1)
| ~ ssList(X0)
| app(X1,X0) != sk2
| app(X0,X1) != sk3 ),
inference(demodulation,[status(thm)],[c6,c5]) ).
cnf(d1,plain,
( ~ ssList(X1)
| ~ ssList(X0)
| app(X1,X0) != sk4
| app(X0,X1) != sk3 ),
inference(demodulation,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( ~ neq(sk4,nil)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| app(cons(sk5,nil),sk6) != sk4
| sk3 != sk3 ),
inference(superposition,[status(thm)],[c11,d1]) ).
cnf(d3,plain,
( ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X0)
| app(nil,X0) != sk4
| X0 != sk3 ),
inference(superposition,[status(thm)],[c84,d1]) ).
cnf(d4,plain,
( ~ ssList(X0)
| app(nil,X0) != sk4
| X0 != sk3 ),
inference(resolution,[status(thm)],[c19,d3]) ).
cnf(d5,plain,
( ~ ssList(X0)
| ~ ssList(X0)
| X0 != sk3
| X0 != sk4 ),
inference(superposition,[status(thm)],[c85,d4]) ).
cnf(d6,plain,
( ~ ssList(sk4)
| sk4 != sk3 ),
inference(equality_resolution,[status(thm)],[d5]) ).
cnf(d7,plain,
sk4 != sk3,
inference(resolution,[status(thm)],[c3,d6]) ).
cnf(d8,plain,
( ssList(sk6)
| ~ ssList(sk4)
| ~ ssList(nil)
| sk4 = nil ),
inference(resolution,[status(thm)],[c111,c9]) ).
cnf(d9,plain,
( ssList(sk6)
| ~ ssList(nil)
| sk4 = nil ),
inference(resolution,[status(thm)],[c3,d8]) ).
cnf(d10,plain,
( ssList(sk6)
| sk4 = nil ),
inference(resolution,[status(thm)],[c19,d9]) ).
cnf(d11,plain,
( ssList(sk6)
| nil = sk3
| nil != nil ),
inference(superposition,[status(thm)],[d10,c7]) ).
cnf(d12,plain,
( ssList(sk6)
| nil = sk3 ),
inference(equality_resolution,[status(thm)],[d11]) ).
cnf(d13,plain,
( ssList(sk6)
| sk4 != nil ),
inference(superposition,[status(thm)],[d12,d7]) ).
cnf(d14,plain,
( ssList(sk6)
| ssList(sk6)
| nil != nil ),
inference(superposition,[status(thm)],[d10,d13]) ).
cnf(d15,plain,
ssList(sk6),
inference(equality_resolution,[status(thm)],[d14]) ).
cnf(d16,plain,
( ~ neq(sk4,nil)
| ~ ssList(cons(sk5,nil))
| app(cons(sk5,nil),sk6) != sk4
| sk3 != sk3 ),
inference(resolution,[status(thm)],[d15,d2]) ).
cnf(d17,plain,
( ~ neq(sk4,nil)
| ~ neq(sk4,nil)
| ~ ssList(cons(sk5,nil))
| sk3 != sk3
| sk4 != sk4 ),
inference(superposition,[status(thm)],[c10,d16]) ).
cnf(d18,plain,
( ~ neq(sk4,nil)
| ~ ssList(cons(sk5,nil))
| sk3 != sk3 ),
inference(equality_resolution,[status(thm)],[d17]) ).
cnf(d19,plain,
( ~ neq(sk4,nil)
| ~ ssList(cons(sk5,nil)) ),
inference(equality_resolution,[status(thm)],[d18]) ).
cnf(d20,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ neq(sk4,nil) ),
inference(resolution,[status(thm)],[d19,c97]) ).
cnf(d21,plain,
( ~ ssItem(sk5)
| ~ neq(sk4,nil) ),
inference(resolution,[status(thm)],[c19,d20]) ).
cnf(d22,plain,
( ssItem(sk5)
| ~ ssList(sk4)
| ~ ssList(nil)
| sk4 = nil ),
inference(resolution,[status(thm)],[c111,c8]) ).
cnf(d23,plain,
( ssItem(sk5)
| ~ ssList(nil)
| sk4 = nil ),
inference(resolution,[status(thm)],[c3,d22]) ).
cnf(d24,plain,
( ssItem(sk5)
| sk4 = nil ),
inference(resolution,[status(thm)],[c19,d23]) ).
cnf(d25,plain,
( ssItem(sk5)
| nil = sk3
| nil != nil ),
inference(superposition,[status(thm)],[d24,c7]) ).
cnf(d26,plain,
( ssItem(sk5)
| nil = sk3 ),
inference(equality_resolution,[status(thm)],[d25]) ).
cnf(d27,plain,
( ssItem(sk5)
| sk4 != nil ),
inference(superposition,[status(thm)],[d26,d7]) ).
cnf(d28,plain,
( ssItem(sk5)
| ssItem(sk5)
| nil != nil ),
inference(superposition,[status(thm)],[d24,d27]) ).
cnf(d29,plain,
ssItem(sk5),
inference(equality_resolution,[status(thm)],[d28]) ).
cnf(d30,plain,
~ neq(sk4,nil),
inference(resolution,[status(thm)],[d29,d21]) ).
cnf(d31,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| sk4 = nil ),
inference(resolution,[status(thm)],[d30,c111]) ).
cnf(d32,plain,
( ~ ssList(nil)
| sk4 = nil ),
inference(resolution,[status(thm)],[c3,d31]) ).
cnf(d33,plain,
sk4 = nil,
inference(resolution,[status(thm)],[c19,d32]) ).
cnf(d34,plain,
( nil != nil
| nil = sk3 ),
inference(demodulation,[status(thm)],[c7,d33]) ).
cnf(d35,plain,
nil != sk3,
inference(demodulation,[status(thm)],[d7,d33]) ).
cnf(d36,plain,
nil != nil,
inference(resolution,[status(thm)],[d35,d34]) ).
cnf(d37,plain,
$false,
inference(equality_resolution,[status(thm)],[d36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC323-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.45 % Computer : n010.cluster.edu
% 0.17/5.45 % Model : x86_64 x86_64
% 0.17/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.45 % Memory : 8046.5625MB
% 0.17/5.45 % OS : Linux 6.8.0-71-generic
% 0.17/5.46 % CPULimit : 300
% 0.17/5.46 % WCLimit : 300
% 0.17/5.46 % DateTime : Sat Sep 26 12:48:21 UTC 2026
% 0.17/5.46 % CPUTime :
% 0.17/5.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 39.65/11.93 % SZS status Unsatisfiable for theBenchmark.p
% 39.65/11.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------