%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC106-1 : 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 : n017.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 08:54:17 AM UTC 2026
% Result : Unsatisfiable 28.09s 6.05s
% Output : CNFRefutation 28.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of clauses : 54 ( 18 unt; 3 nHn; 54 RR)
% Number of literals : 114 ( 25 equ; 67 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_1,negated_conjecture,
ssList(sk1) ).
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)
| ssItem(sk5) ) ).
cnf(co1_15,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ) ).
cnf(co1_16,negated_conjecture,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ) ).
cnf(co1_17,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk4 ) ).
cnf(co1_18,negated_conjecture,
( ~ neq(sk4,nil)
| ~ rearsegP(sk2,sk1)
| ~ neq(sk1,nil) ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause59,axiom,
( rearsegP(X0,X0)
| ~ ssList(X0) ) ).
cnf(clause98,axiom,
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ) ).
cnf(clause100,axiom,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(clause136,axiom,
( rearsegP(app(X2,X0),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ rearsegP(X0,X1) ) ).
cnf(c0,plain,
ssList(sk1),
inference(clausification,[status(esa)],[co1_1]) ).
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,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(clausification,[status(esa)],[co1_14]) ).
cnf(c14,plain,
( ~ neq(sk4,nil)
| ssList(sk6) ),
inference(clausification,[status(esa)],[co1_15]) ).
cnf(c15,plain,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
inference(clausification,[status(esa)],[co1_16]) ).
cnf(c16,plain,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk4 ),
inference(clausification,[status(esa)],[co1_17]) ).
cnf(c17,plain,
( ~ neq(sk4,nil)
| ~ rearsegP(sk2,sk1)
| ~ neq(sk1,nil) ),
inference(clausification,[status(esa)],[co1_18]) ).
cnf(c25,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c76,plain,
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause59]) ).
cnf(c115,plain,
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ),
inference(clausification,[status(esa)],[clause98]) ).
cnf(c117,plain,
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause100]) ).
cnf(c153,plain,
( ~ ssList(X1)
| rearsegP(app(X2,X1),X0)
| ~ ssList(X2)
| ~ rearsegP(X1,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause136]) ).
cnf(d0,plain,
( ~ rearsegP(sk2,sk1)
| ~ neq(sk2,nil)
| ~ neq(sk1,nil) ),
inference(demodulation,[status(thm)],[c17,c4]) ).
cnf(d1,plain,
( ~ rearsegP(sk2,sk1)
| ~ neq(sk1,nil) ),
inference(resolution,[status(thm)],[c6,d0]) ).
cnf(d2,plain,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk1 ),
inference(demodulation,[status(thm)],[c15,c5]) ).
cnf(d3,plain,
( ~ neq(sk2,nil)
| cons(sk5,nil) = sk1 ),
inference(demodulation,[status(thm)],[d2,c4]) ).
cnf(d4,plain,
cons(sk5,nil) = sk1,
inference(resolution,[status(thm)],[c6,d3]) ).
cnf(d5,plain,
( ~ neq(sk4,nil)
| app(sk6,sk1) = sk4 ),
inference(demodulation,[status(thm)],[c16,d4]) ).
cnf(d6,plain,
( ~ neq(sk4,nil)
| app(sk6,sk1) = sk2 ),
inference(demodulation,[status(thm)],[d5,c4]) ).
cnf(d7,plain,
( ~ neq(sk2,nil)
| app(sk6,sk1) = sk2 ),
inference(demodulation,[status(thm)],[d6,c4]) ).
cnf(d8,plain,
app(sk6,sk1) = sk2,
inference(resolution,[status(thm)],[c6,d7]) ).
cnf(d9,plain,
( ~ rearsegP(sk1,X0)
| ~ ssList(sk6)
| ~ ssList(X0)
| ~ ssList(sk1)
| rearsegP(sk2,X0) ),
inference(superposition,[status(thm)],[d8,c153]) ).
cnf(d10,plain,
( rearsegP(sk2,X0)
| ~ rearsegP(sk1,X0)
| ~ ssList(sk6)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c0,d9]) ).
cnf(d11,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(demodulation,[status(thm)],[c14,c4]) ).
cnf(d12,plain,
ssList(sk6),
inference(resolution,[status(thm)],[c6,d11]) ).
cnf(d13,plain,
( rearsegP(sk2,X0)
| ~ rearsegP(sk1,X0)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[d12,d10]) ).
cnf(d14,plain,
( ~ ssList(sk1)
| rearsegP(sk2,sk1)
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[d13,c76]) ).
cnf(d15,plain,
rearsegP(sk2,sk1),
inference(resolution,[status(thm)],[c0,d14]) ).
cnf(d16,plain,
~ neq(sk1,nil),
inference(resolution,[status(thm)],[d15,d1]) ).
cnf(d17,plain,
( ~ ssList(nil)
| ~ ssList(sk1)
| sk1 = nil ),
inference(resolution,[status(thm)],[d16,c117]) ).
cnf(d18,plain,
( ~ ssList(nil)
| sk1 = nil ),
inference(resolution,[status(thm)],[c0,d17]) ).
cnf(d19,plain,
sk1 = nil,
inference(resolution,[status(thm)],[c25,d18]) ).
cnf(d20,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| sk1 != nil ),
inference(superposition,[status(thm)],[d4,c115]) ).
cnf(d21,plain,
( ~ ssItem(sk5)
| sk1 != nil ),
inference(resolution,[status(thm)],[c25,d20]) ).
cnf(d22,plain,
( ssItem(sk5)
| ~ neq(sk2,nil) ),
inference(demodulation,[status(thm)],[c13,c4]) ).
cnf(d23,plain,
ssItem(sk5),
inference(resolution,[status(thm)],[c6,d22]) ).
cnf(d24,plain,
sk1 != nil,
inference(resolution,[status(thm)],[d23,d21]) ).
cnf(d25,plain,
$false,
inference(resolution,[status(thm)],[d24,d19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC106-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 12:11:20 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.09/6.05 % SZS status Unsatisfiable for theBenchmark.p
% 28.09/6.05 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------