%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC378-1 : 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 : n004.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 08:55:11 AM UTC 2026
% Result : Unsatisfiable 91.04s 22.03s
% Output : CNFRefutation 91.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of clauses : 59 ( 21 unt; 19 nHn; 59 RR)
% Number of literals : 167 ( 10 equ; 89 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
ssList(sk5) ).
cnf(co1_8,negated_conjecture,
ssList(sk6) ).
cnf(co1_9,negated_conjecture,
app(sk5,sk6) = sk4 ).
cnf(co1_10,negated_conjecture,
app(sk6,sk5) = sk3 ).
cnf(co1_11,negated_conjecture,
ssItem(sk7) ).
cnf(co1_12,negated_conjecture,
( memberP(sk1,sk7)
| memberP(sk2,sk7) ) ).
cnf(co1_13,negated_conjecture,
( ~ memberP(sk1,sk7)
| ~ memberP(sk2,sk7) ) ).
cnf(clause140,axiom,
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1) ) ).
cnf(clause141,axiom,
( memberP(app(X2,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ) ).
cnf(clause158,axiom,
( memberP(X0,X2)
| memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ memberP(app(X0,X1),X2) ) ).
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,
ssList(sk5),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
ssList(sk6),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
app(sk5,sk6) = sk4,
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
app(sk6,sk5) = sk3,
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c10,plain,
ssItem(sk7),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
( memberP(sk1,sk7)
| memberP(sk2,sk7) ),
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c12,plain,
( ~ memberP(sk1,sk7)
| ~ memberP(sk2,sk7) ),
inference(clausification,[status(esa)],[co1_13]) ).
cnf(c152,plain,
( ~ ssList(X1)
| memberP(app(X1,X0),X2)
| ~ ssItem(X2)
| ~ memberP(X1,X2)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause140]) ).
cnf(c153,plain,
( memberP(app(X0,X1),X2)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ memberP(X1,X2)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause141]) ).
cnf(c170,plain,
( ~ memberP(app(X0,X1),X2)
| memberP(X1,X2)
| ~ ssItem(X2)
| memberP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause158]) ).
cnf(d0,plain,
app(sk5,sk6) = sk2,
inference(demodulation,[status(thm)],[c8,c4]) ).
cnf(d1,plain,
( ~ memberP(sk5,X0)
| ~ ssItem(X0)
| ~ ssList(sk5)
| ~ ssList(sk6)
| memberP(sk2,X0) ),
inference(superposition,[status(thm)],[d0,c152]) ).
cnf(d2,plain,
( ~ memberP(sk5,X0)
| memberP(sk2,X0)
| ~ ssItem(X0)
| ~ ssList(sk6) ),
inference(resolution,[status(thm)],[c6,d1]) ).
cnf(d3,plain,
( ~ memberP(sk5,X0)
| memberP(sk2,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c7,d2]) ).
cnf(d4,plain,
( ~ memberP(sk6,X0)
| ~ ssItem(X0)
| ~ ssList(sk6)
| ~ ssList(sk5)
| memberP(sk2,X0) ),
inference(superposition,[status(thm)],[d0,c153]) ).
cnf(d5,plain,
( ~ memberP(sk6,X0)
| memberP(sk2,X0)
| ~ ssItem(X0)
| ~ ssList(sk6) ),
inference(resolution,[status(thm)],[c6,d4]) ).
cnf(d6,plain,
( ~ memberP(sk6,X0)
| memberP(sk2,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c7,d5]) ).
cnf(d7,plain,
app(sk6,sk5) = sk1,
inference(demodulation,[status(thm)],[c9,c5]) ).
cnf(d8,plain,
( memberP(sk5,X0)
| memberP(sk6,X0)
| ~ ssItem(X0)
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ memberP(sk1,X0) ),
inference(superposition,[status(thm)],[d7,c170]) ).
cnf(d9,plain,
( memberP(sk6,X0)
| memberP(sk5,X0)
| ~ memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(sk6) ),
inference(resolution,[status(thm)],[c6,d8]) ).
cnf(d10,plain,
( memberP(sk6,X0)
| memberP(sk5,X0)
| ~ memberP(sk1,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c7,d9]) ).
cnf(d11,plain,
( ~ memberP(sk5,X0)
| ~ ssItem(X0)
| ~ ssList(sk5)
| ~ ssList(sk6)
| memberP(sk1,X0) ),
inference(superposition,[status(thm)],[d7,c153]) ).
cnf(d12,plain,
( ~ memberP(sk5,X0)
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(sk6) ),
inference(resolution,[status(thm)],[c6,d11]) ).
cnf(d13,plain,
( ~ memberP(sk5,X0)
| memberP(sk1,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c7,d12]) ).
cnf(d14,plain,
( ~ memberP(sk6,X0)
| ~ ssItem(X0)
| ~ ssList(sk6)
| ~ ssList(sk5)
| memberP(sk1,X0) ),
inference(superposition,[status(thm)],[d7,c152]) ).
cnf(d15,plain,
( ~ memberP(sk6,X0)
| memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssList(sk6) ),
inference(resolution,[status(thm)],[c6,d14]) ).
cnf(d16,plain,
( ~ memberP(sk6,X0)
| memberP(sk1,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c7,d15]) ).
cnf(d17,plain,
( memberP(sk6,X0)
| memberP(sk5,X0)
| ~ ssItem(X0)
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ memberP(sk2,X0) ),
inference(superposition,[status(thm)],[d0,c170]) ).
cnf(d18,plain,
( memberP(sk6,X0)
| memberP(sk5,X0)
| ~ memberP(sk2,X0)
| ~ ssItem(X0)
| ~ ssList(sk6) ),
inference(resolution,[status(thm)],[c6,d17]) ).
cnf(d19,plain,
( memberP(sk6,X0)
| memberP(sk5,X0)
| ~ memberP(sk2,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[c7,d18]) ).
cnf(d20,plain,
( memberP(sk1,sk7)
| memberP(sk6,sk7)
| memberP(sk5,sk7)
| ~ ssItem(sk7) ),
inference(resolution,[status(thm)],[d19,c11]) ).
cnf(d21,plain,
( memberP(sk6,sk7)
| memberP(sk5,sk7)
| memberP(sk1,sk7) ),
inference(resolution,[status(thm)],[c10,d20]) ).
cnf(d22,plain,
( memberP(sk1,sk7)
| ~ ssItem(sk7)
| memberP(sk5,sk7)
| memberP(sk1,sk7) ),
inference(resolution,[status(thm)],[d21,d16]) ).
cnf(d23,plain,
( memberP(sk5,sk7)
| memberP(sk1,sk7) ),
inference(resolution,[status(thm)],[c10,d22]) ).
cnf(d24,plain,
( memberP(sk1,sk7)
| ~ ssItem(sk7)
| memberP(sk1,sk7) ),
inference(resolution,[status(thm)],[d23,d13]) ).
cnf(d25,plain,
memberP(sk1,sk7),
inference(resolution,[status(thm)],[c10,d24]) ).
cnf(d26,plain,
( memberP(sk6,sk7)
| memberP(sk5,sk7)
| ~ ssItem(sk7) ),
inference(resolution,[status(thm)],[d25,d10]) ).
cnf(d27,plain,
( memberP(sk6,sk7)
| memberP(sk5,sk7) ),
inference(resolution,[status(thm)],[c10,d26]) ).
cnf(d28,plain,
( memberP(sk2,sk7)
| ~ ssItem(sk7)
| memberP(sk5,sk7) ),
inference(resolution,[status(thm)],[d27,d6]) ).
cnf(d29,plain,
( memberP(sk5,sk7)
| memberP(sk2,sk7) ),
inference(resolution,[status(thm)],[c10,d28]) ).
cnf(d30,plain,
~ memberP(sk2,sk7),
inference(resolution,[status(thm)],[d25,c12]) ).
cnf(d31,plain,
memberP(sk5,sk7),
inference(resolution,[status(thm)],[d30,d29]) ).
cnf(d32,plain,
( memberP(sk2,sk7)
| ~ ssItem(sk7) ),
inference(resolution,[status(thm)],[d31,d3]) ).
cnf(d33,plain,
memberP(sk2,sk7),
inference(resolution,[status(thm)],[c10,d32]) ).
cnf(d34,plain,
$false,
inference(resolution,[status(thm)],[d30,d33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC378-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 % Computer : n004.cluster.edu
% 0.19/0.43 % Model : x86_64 x86_64
% 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43 % Memory : 8046.5625MB
% 0.19/0.43 % OS : Linux 6.8.0-71-generic
% 0.19/0.43 % CPULimit : 300
% 0.19/0.43 % WCLimit : 300
% 0.19/0.43 % DateTime : Sat Sep 26 12:55:06 UTC 2026
% 0.19/0.43 % CPUTime :
% 0.19/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 91.04/22.03 % SZS status Unsatisfiable for theBenchmark.p
% 91.04/22.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------