%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC025-1 : 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 : n016.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 08:53:59 AM UTC 2026
% Result : Unsatisfiable 32.49s 10.92s
% Output : CNFRefutation 32.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of clauses : 48 ( 17 unt; 15 nHn; 44 RR)
% Number of literals : 112 ( 33 equ; 54 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_1,negated_conjecture,
ssList(sk1) ).
cnf(co1_2,negated_conjecture,
ssList(sk2) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_8,negated_conjecture,
( ~ memberP(sk3,X0)
| memberP(sk4,X0)
| ~ ssItem(X0) ) ).
cnf(co1_9,negated_conjecture,
( ~ memberP(sk4,X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ) ).
cnf(co1_10,negated_conjecture,
( nil = sk1
| nil = sk2 ) ).
cnf(co1_13,negated_conjecture,
( nil != sk2
| nil != sk1 ) ).
cnf(clause12,axiom,
ssItem(skaf83(X0)) ).
cnf(clause13,axiom,
ssList(skaf82(X0)) ).
cnf(clause71,axiom,
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ).
cnf(clause109,axiom,
( nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0
| ~ ssList(X0) ) ).
cnf(clause138,axiom,
( memberP(cons(X1,X2),X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1 ) ).
cnf(c0,plain,
ssList(sk1),
inference(clausification,[status(esa)],[co1_1]) ).
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(c7,plain,
( ~ memberP(sk3,X0)
| memberP(sk4,X0)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
( ~ memberP(sk4,X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
( nil = sk1
| nil = sk2 ),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c12,plain,
( nil != sk2
| nil != sk1 ),
inference(clausification,[status(esa)],[co1_13]) ).
cnf(c24,plain,
ssItem(skaf83(X0)),
inference(clausification,[status(esa)],[clause12]) ).
cnf(c25,plain,
ssList(skaf82(X0)),
inference(clausification,[status(esa)],[clause13]) ).
cnf(c83,plain,
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(clausification,[status(esa)],[clause71]) ).
cnf(c121,plain,
( nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause109]) ).
cnf(c150,plain,
( memberP(cons(X1,X2),X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| X0 != X1
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[clause138]) ).
cnf(d0,plain,
( ~ ssItem(X0)
| memberP(sk4,X0)
| ~ memberP(sk1,X0) ),
inference(demodulation,[status(thm)],[c7,c5]) ).
cnf(d1,plain,
( ~ ssItem(X0)
| memberP(sk2,X0)
| ~ memberP(sk1,X0) ),
inference(demodulation,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X0),X1)
| ~ ssList(X0) ),
inference(equality_resolution,[status(thm)],[c150]) ).
cnf(d3,plain,
( ~ ssList(X0)
| nil = X0
| ~ ssItem(skaf83(X0))
| ~ ssList(skaf82(X0))
| memberP(X0,skaf83(X0)) ),
inference(superposition,[status(thm)],[c121,d2]) ).
cnf(d4,plain,
( memberP(X0,skaf83(X0))
| ~ ssList(skaf82(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(resolution,[status(thm)],[c24,d3]) ).
cnf(d5,plain,
( memberP(X0,skaf83(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(resolution,[status(thm)],[c25,d4]) ).
cnf(d6,plain,
( ~ ssItem(skaf83(sk1))
| memberP(sk2,skaf83(sk1))
| ~ ssList(sk1)
| nil = sk1 ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( ~ ssItem(skaf83(sk1))
| memberP(sk2,skaf83(sk1))
| nil = sk1 ),
inference(resolution,[status(thm)],[c0,d6]) ).
cnf(d8,plain,
( memberP(sk2,skaf83(sk1))
| nil = sk1 ),
inference(resolution,[status(thm)],[c24,d7]) ).
cnf(d9,plain,
( nil = sk1
| nil = sk1
| memberP(nil,skaf83(sk1)) ),
inference(superposition,[status(thm)],[c9,d8]) ).
cnf(d10,plain,
( ~ ssItem(skaf83(sk1))
| nil = sk1 ),
inference(resolution,[status(thm)],[d9,c83]) ).
cnf(d11,plain,
nil = sk1,
inference(resolution,[status(thm)],[c24,d10]) ).
cnf(d12,plain,
( ~ ssItem(X0)
| ~ memberP(sk4,X0)
| memberP(sk1,X0) ),
inference(demodulation,[status(thm)],[c8,c5]) ).
cnf(d13,plain,
( ~ ssItem(X0)
| ~ memberP(sk2,X0)
| memberP(sk1,X0) ),
inference(demodulation,[status(thm)],[d12,c4]) ).
cnf(d14,plain,
( ~ ssItem(skaf83(sk2))
| memberP(sk1,skaf83(sk2))
| ~ ssList(sk2)
| nil = sk2 ),
inference(resolution,[status(thm)],[d5,d13]) ).
cnf(d15,plain,
( ~ ssItem(skaf83(sk2))
| memberP(nil,skaf83(sk2))
| ~ ssList(sk2)
| nil = sk2 ),
inference(demodulation,[status(thm)],[d14,d11]) ).
cnf(d16,plain,
( ~ ssItem(skaf83(sk2))
| memberP(nil,skaf83(sk2))
| nil = sk2 ),
inference(resolution,[status(thm)],[c1,d15]) ).
cnf(d17,plain,
( memberP(nil,skaf83(sk2))
| nil = sk2 ),
inference(resolution,[status(thm)],[c24,d16]) ).
cnf(d18,plain,
nil != sk2,
inference(resolution,[status(thm)],[d11,c12]) ).
cnf(d19,plain,
memberP(nil,skaf83(sk2)),
inference(resolution,[status(thm)],[d18,d17]) ).
cnf(d20,plain,
~ ssItem(skaf83(sk2)),
inference(resolution,[status(thm)],[d19,c83]) ).
cnf(d21,plain,
$false,
inference(resolution,[status(thm)],[c24,d20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC025-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n016.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sat Sep 26 12:10:22 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.49/10.92 % SZS status Unsatisfiable for theBenchmark.p
% 32.49/10.92 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------