%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC182-1 : 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 : n015.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 08:54:32 AM UTC 2026
% Result : Unsatisfiable 20.48s 8.99s
% Output : CNFRefutation 20.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 15
% Syntax : Number of clauses : 56 ( 22 unt; 4 nHn; 56 RR)
% Number of literals : 120 ( 32 equ; 63 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_5,negated_conjecture,
nil = sk3 ).
cnf(co1_7,negated_conjecture,
sk1 = sk3 ).
cnf(co1_8,negated_conjecture,
ssItem(sk5) ).
cnf(co1_9,negated_conjecture,
ssList(sk6) ).
cnf(co1_10,negated_conjecture,
ssList(sk7) ).
cnf(co1_11,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1 ).
cnf(co1_12,negated_conjecture,
( memberP(sk7,sk5)
| memberP(sk6,sk5) ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause71,axiom,
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ).
cnf(clause73,axiom,
( app(X0,nil) = X0
| ~ ssList(X0) ) ).
cnf(clause84,axiom,
( nil = X0
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ) ).
cnf(clause85,axiom,
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ) ).
cnf(clause86,axiom,
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ) ).
cnf(clause119,axiom,
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ) ).
cnf(clause144,axiom,
( frontsegP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != X2 ) ).
cnf(c4,plain,
nil = sk3,
inference(clausification,[status(esa)],[co1_5]) ).
cnf(c6,plain,
sk1 = sk3,
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
ssItem(sk5),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
ssList(sk6),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
ssList(sk7),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c10,plain,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
( memberP(sk7,sk5)
| memberP(sk6,sk5) ),
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c19,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c82,plain,
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(clausification,[status(esa)],[clause71]) ).
cnf(c84,plain,
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause73]) ).
cnf(c95,plain,
( nil = X0
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(clausification,[status(esa)],[clause84]) ).
cnf(c96,plain,
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause85]) ).
cnf(c97,plain,
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[clause86]) ).
cnf(c130,plain,
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(clausification,[status(esa)],[clause119]) ).
cnf(c155,plain,
( ~ ssList(X2)
| frontsegP(X0,X1)
| app(X1,X2) != X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause144]) ).
cnf(d0,plain,
( frontsegP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X0,X1)) ),
inference(equality_resolution,[status(thm)],[c155]) ).
cnf(d1,plain,
sk1 = nil,
inference(demodulation,[status(thm)],[c6,c4]) ).
cnf(d2,plain,
app(app(sk6,cons(sk5,nil)),sk7) = nil,
inference(demodulation,[status(thm)],[c10,d1]) ).
cnf(d3,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(sk7)
| nil = sk7
| nil != nil ),
inference(superposition,[status(thm)],[d2,c130]) ).
cnf(d4,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| nil = sk7
| nil != nil ),
inference(resolution,[status(thm)],[c9,d3]) ).
cnf(d5,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| nil = sk7 ),
inference(equality_resolution,[status(thm)],[d4]) ).
cnf(d6,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| nil = sk7 ),
inference(resolution,[status(thm)],[d5,c96]) ).
cnf(d7,plain,
( ~ ssList(cons(sk5,nil))
| nil = sk7 ),
inference(resolution,[status(thm)],[c8,d6]) ).
cnf(d8,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| nil = sk7 ),
inference(resolution,[status(thm)],[d7,c97]) ).
cnf(d9,plain,
( ~ ssList(nil)
| nil = sk7 ),
inference(resolution,[status(thm)],[c7,d8]) ).
cnf(d10,plain,
nil = sk7,
inference(resolution,[status(thm)],[c19,d9]) ).
cnf(d11,plain,
app(app(sk6,cons(sk5,nil)),nil) = nil,
inference(demodulation,[status(thm)],[d2,d10]) ).
cnf(d12,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| nil = app(sk6,cons(sk5,nil)) ),
inference(superposition,[status(thm)],[d11,c84]) ).
cnf(d13,plain,
( ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| frontsegP(nil,sk6) ),
inference(superposition,[status(thm)],[d12,d0]) ).
cnf(d14,plain,
( frontsegP(nil,sk6)
| ~ ssList(cons(sk5,nil))
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(resolution,[status(thm)],[c8,d13]) ).
cnf(d15,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| frontsegP(nil,sk6)
| ~ ssList(cons(sk5,nil)) ),
inference(resolution,[status(thm)],[d14,c96]) ).
cnf(d16,plain,
( frontsegP(nil,sk6)
| ~ ssList(cons(sk5,nil)) ),
inference(resolution,[status(thm)],[c8,d15]) ).
cnf(d17,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| frontsegP(nil,sk6) ),
inference(resolution,[status(thm)],[d16,c97]) ).
cnf(d18,plain,
( frontsegP(nil,sk6)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c7,d17]) ).
cnf(d19,plain,
frontsegP(nil,sk6),
inference(resolution,[status(thm)],[c19,d18]) ).
cnf(d20,plain,
( ~ ssList(sk6)
| nil = sk6 ),
inference(resolution,[status(thm)],[d19,c95]) ).
cnf(d21,plain,
nil = sk6,
inference(resolution,[status(thm)],[c8,d20]) ).
cnf(d22,plain,
( memberP(nil,sk5)
| memberP(sk6,sk5) ),
inference(demodulation,[status(thm)],[c11,d10]) ).
cnf(d23,plain,
( memberP(nil,sk5)
| memberP(nil,sk5) ),
inference(demodulation,[status(thm)],[d22,d21]) ).
cnf(d24,plain,
~ ssItem(sk5),
inference(resolution,[status(thm)],[d23,c82]) ).
cnf(d25,plain,
$false,
inference(resolution,[status(thm)],[c7,d24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC182-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.61 % Computer : n015.cluster.edu
% 0.13/0.61 % Model : x86_64 x86_64
% 0.13/0.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.61 % Memory : 8046.5625MB
% 0.13/0.61 % OS : Linux 6.8.0-71-generic
% 0.13/0.61 % CPULimit : 300
% 0.13/0.62 % WCLimit : 300
% 0.13/0.62 % DateTime : Sat Sep 26 12:30:29 UTC 2026
% 0.13/0.62 % CPUTime :
% 0.13/0.62 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.48/8.99 % SZS status Unsatisfiable for theBenchmark.p
% 20.48/8.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------