%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC046-1 : 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 : n002.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 08:54:04 AM UTC 2026
% Result : Unsatisfiable 35.25s 5.95s
% Output : CNFRefutation 35.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 35 ( 19 unt; 7 nHn; 31 RR)
% Number of literals : 73 ( 21 equ; 37 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 : 22 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_3,negated_conjecture,
ssList(sk3) ).
cnf(co1_5,negated_conjecture,
nil = sk2 ).
cnf(co1_6,negated_conjecture,
sk2 = sk4 ).
cnf(co1_7,negated_conjecture,
sk1 = sk3 ).
cnf(co1_8,negated_conjecture,
nil != sk1 ).
cnf(co1_11,negated_conjecture,
( memberP(sk4,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0) ) ).
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(c2,plain,
ssList(sk3),
inference(clausification,[status(esa)],[co1_3]) ).
cnf(c4,plain,
nil = sk2,
inference(clausification,[status(esa)],[co1_5]) ).
cnf(c5,plain,
sk2 = sk4,
inference(clausification,[status(esa)],[co1_6]) ).
cnf(c6,plain,
sk1 = sk3,
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
nil != sk1,
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c10,plain,
( memberP(sk4,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c23,plain,
ssItem(skaf83(X0)),
inference(clausification,[status(esa)],[clause12]) ).
cnf(c24,plain,
ssList(skaf82(X0)),
inference(clausification,[status(esa)],[clause13]) ).
cnf(c82,plain,
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(clausification,[status(esa)],[clause71]) ).
cnf(c120,plain,
( nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause109]) ).
cnf(c149,plain,
( memberP(cons(X2,X0),X1)
| X1 != X2
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause138]) ).
cnf(d0,plain,
nil = sk4,
inference(demodulation,[status(thm)],[c5,c4]) ).
cnf(d1,plain,
( memberP(nil,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(demodulation,[status(thm)],[c10,d0]) ).
cnf(d2,plain,
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(equality_resolution,[status(thm)],[c149]) ).
cnf(d3,plain,
( ~ ssList(X0)
| nil = X0
| ~ ssItem(skaf83(X0))
| ~ ssList(skaf82(X0))
| memberP(X0,skaf83(X0)) ),
inference(superposition,[status(thm)],[c120,d2]) ).
cnf(d4,plain,
( memberP(X0,skaf83(X0))
| ~ ssList(skaf82(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(resolution,[status(thm)],[c23,d3]) ).
cnf(d5,plain,
( memberP(X0,skaf83(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(resolution,[status(thm)],[c24,d4]) ).
cnf(d6,plain,
( memberP(nil,skaf83(sk3))
| ~ ssItem(skaf83(sk3))
| ~ ssList(sk3)
| nil = sk3 ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( memberP(nil,skaf83(sk3))
| ~ ssItem(skaf83(sk3))
| nil = sk3 ),
inference(resolution,[status(thm)],[c2,d6]) ).
cnf(d8,plain,
nil != sk3,
inference(demodulation,[status(thm)],[c7,c6]) ).
cnf(d9,plain,
( memberP(nil,skaf83(sk3))
| ~ ssItem(skaf83(sk3)) ),
inference(resolution,[status(thm)],[d8,d7]) ).
cnf(d10,plain,
memberP(nil,skaf83(sk3)),
inference(resolution,[status(thm)],[c23,d9]) ).
cnf(d11,plain,
~ ssItem(skaf83(sk3)),
inference(resolution,[status(thm)],[d10,c82]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[c23,d11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC046-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % 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 12:10:20 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 35.25/5.95 % SZS status Unsatisfiable for theBenchmark.p
% 35.25/5.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------