%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC014-1 : 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 : n020.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 08:53:56 AM UTC 2026
% Result : Unsatisfiable 30.01s 8.05s
% Output : CNFRefutation 30.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 15
% Syntax : Number of clauses : 66 ( 21 unt; 3 nHn; 66 RR)
% Number of literals : 160 ( 53 equ; 104 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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)
| neq(sk2,nil) ) ).
cnf(co1_14,negated_conjecture,
( ~ neq(sk4,nil)
| ~ neq(nil,sk2)
| app(sk1,X1) != X0
| tl(sk2) != X1
| ~ ssList(X1)
| sk2 != X0
| ~ ssList(X0) ) ).
cnf(co1_15,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ) ).
cnf(co1_16,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ) ).
cnf(co1_17,negated_conjecture,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ) ).
cnf(co1_18,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk4 ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause71,axiom,
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ).
cnf(clause96,axiom,
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ) ).
cnf(clause100,axiom,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(clause120,axiom,
( app(cons(X0,nil),X1) = cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ) ).
cnf(clause138,axiom,
( memberP(cons(X1,X2),X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1 ) ).
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(c13,plain,
( ~ ssList(X1)
| sk2 != X0
| ~ neq(sk4,nil)
| app(sk1,X1) != X0
| tl(sk2) != X1
| ~ neq(nil,sk2)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_14]) ).
cnf(c14,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(clausification,[status(esa)],[co1_15]) ).
cnf(c15,plain,
( ~ neq(sk4,nil)
| ssList(sk6) ),
inference(clausification,[status(esa)],[co1_16]) ).
cnf(c16,plain,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
inference(clausification,[status(esa)],[co1_17]) ).
cnf(c17,plain,
( ~ neq(sk4,nil)
| app(cons(sk5,nil),sk6) = sk4 ),
inference(clausification,[status(esa)],[co1_18]) ).
cnf(c25,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c88,plain,
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(clausification,[status(esa)],[clause71]) ).
cnf(c113,plain,
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[clause96]) ).
cnf(c117,plain,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause100]) ).
cnf(c137,plain,
( app(cons(X0,nil),X1) = cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[clause120]) ).
cnf(c155,plain,
( ~ ssItem(X2)
| memberP(cons(X2,X0),X1)
| X1 != X2
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause138]) ).
cnf(d0,plain,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk1 ),
inference(demodulation,[status(thm)],[c16,c5]) ).
cnf(d1,plain,
( ~ neq(sk2,nil)
| cons(sk5,nil) = sk1 ),
inference(demodulation,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
cons(sk5,nil) = sk1,
inference(resolution,[status(thm)],[c6,d1]) ).
cnf(d3,plain,
( ~ neq(sk4,nil)
| app(sk1,sk6) = sk4 ),
inference(demodulation,[status(thm)],[c17,d2]) ).
cnf(d4,plain,
( ~ neq(sk4,nil)
| app(sk1,sk6) = sk2 ),
inference(demodulation,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
( ~ neq(sk2,nil)
| app(sk1,sk6) = sk2 ),
inference(demodulation,[status(thm)],[d4,c4]) ).
cnf(d6,plain,
app(sk1,sk6) = sk2,
inference(resolution,[status(thm)],[c6,d5]) ).
cnf(d7,plain,
( ~ ssItem(sk5)
| ~ ssList(X0)
| app(sk1,X0) = cons(sk5,X0) ),
inference(superposition,[status(thm)],[d2,c137]) ).
cnf(d8,plain,
( ssItem(sk5)
| ~ neq(sk2,nil) ),
inference(demodulation,[status(thm)],[c14,c4]) ).
cnf(d9,plain,
ssItem(sk5),
inference(resolution,[status(thm)],[c6,d8]) ).
cnf(d10,plain,
( ~ ssList(X0)
| app(sk1,X0) = cons(sk5,X0) ),
inference(resolution,[status(thm)],[d9,d7]) ).
cnf(d11,plain,
( ~ ssList(sk6)
| cons(sk5,sk6) = sk2 ),
inference(superposition,[status(thm)],[d10,d6]) ).
cnf(d12,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(demodulation,[status(thm)],[c15,c4]) ).
cnf(d13,plain,
ssList(sk6),
inference(resolution,[status(thm)],[c6,d12]) ).
cnf(d14,plain,
cons(sk5,sk6) = sk2,
inference(resolution,[status(thm)],[d13,d11]) ).
cnf(d15,plain,
( ~ ssItem(sk5)
| ~ ssList(sk6)
| tl(sk2) = sk6 ),
inference(superposition,[status(thm)],[d14,c113]) ).
cnf(d16,plain,
( ~ ssList(sk6)
| tl(sk2) = sk6 ),
inference(resolution,[status(thm)],[d9,d15]) ).
cnf(d17,plain,
tl(sk2) = sk6,
inference(resolution,[status(thm)],[d13,d16]) ).
cnf(d18,plain,
( ~ neq(nil,sk2)
| ~ neq(sk2,nil)
| ~ ssList(X1)
| ~ ssList(X0)
| tl(sk2) != X1
| app(sk1,X1) != X0
| sk2 != X0 ),
inference(demodulation,[status(thm)],[c13,c4]) ).
cnf(d19,plain,
( ~ neq(nil,sk2)
| ~ ssList(X1)
| ~ ssList(X0)
| tl(sk2) != X1
| app(sk1,X1) != X0
| sk2 != X0 ),
inference(resolution,[status(thm)],[c6,d18]) ).
cnf(d20,plain,
( ~ neq(nil,sk2)
| ~ ssList(X0)
| ~ ssList(sk6)
| tl(sk2) != sk6
| sk2 != X0
| sk2 != X0 ),
inference(superposition,[status(thm)],[d6,d19]) ).
cnf(d21,plain,
( ~ neq(nil,sk2)
| ~ ssList(sk6)
| ~ ssList(X0)
| sk6 != sk6
| sk2 != X0 ),
inference(demodulation,[status(thm)],[d20,d17]) ).
cnf(d22,plain,
( ~ neq(nil,sk2)
| ~ ssList(X0)
| sk6 != sk6
| sk2 != X0 ),
inference(resolution,[status(thm)],[d13,d21]) ).
cnf(d23,plain,
( ~ neq(nil,sk2)
| ~ ssList(X0)
| sk2 != X0 ),
inference(equality_resolution,[status(thm)],[d22]) ).
cnf(d24,plain,
( ~ neq(nil,sk2)
| ~ ssList(sk2) ),
inference(equality_resolution,[status(thm)],[d23]) ).
cnf(d25,plain,
~ neq(nil,sk2),
inference(resolution,[status(thm)],[c1,d24]) ).
cnf(d26,plain,
( ~ ssList(nil)
| ~ ssList(sk2)
| nil = sk2 ),
inference(resolution,[status(thm)],[d25,c117]) ).
cnf(d27,plain,
( ~ ssList(nil)
| nil = sk2 ),
inference(resolution,[status(thm)],[c1,d26]) ).
cnf(d28,plain,
nil = sk2,
inference(resolution,[status(thm)],[c25,d27]) ).
cnf(d29,plain,
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(equality_resolution,[status(thm)],[c155]) ).
cnf(d30,plain,
( ~ ssItem(sk5)
| ~ ssList(sk6)
| memberP(sk2,sk5) ),
inference(superposition,[status(thm)],[d14,d29]) ).
cnf(d31,plain,
( memberP(sk2,sk5)
| ~ ssList(sk6) ),
inference(resolution,[status(thm)],[d9,d30]) ).
cnf(d32,plain,
memberP(sk2,sk5),
inference(resolution,[status(thm)],[d13,d31]) ).
cnf(d33,plain,
memberP(nil,sk5),
inference(demodulation,[status(thm)],[d32,d28]) ).
cnf(d34,plain,
~ ssItem(sk5),
inference(resolution,[status(thm)],[d33,c88]) ).
cnf(d35,plain,
$false,
inference(resolution,[status(thm)],[d9,d34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC014-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 12:04:48 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.01/8.05 % SZS status Unsatisfiable for theBenchmark.p
% 30.01/8.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------