%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC379-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 37.60s 5.22s
% Output : CNFRefutation 37.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 15
% Syntax : Number of clauses : 91 ( 10 unt; 54 nHn; 91 RR)
% Number of literals : 300 ( 44 equ; 149 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
( ~ memberP(sk4,X0)
| ssItem(sk5(X0))
| memberP(sk3,X0)
| ~ ssItem(X0) ) ).
cnf(co1_8,negated_conjecture,
( ~ memberP(sk4,X0)
| memberP(sk4,sk5(X0))
| memberP(sk3,X0)
| ~ ssItem(X0) ) ).
cnf(co1_9,negated_conjecture,
( ~ memberP(sk4,X0)
| leq(sk5(X0),X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ) ).
cnf(co1_10,negated_conjecture,
( ~ memberP(sk4,X0)
| X0 != sk5(X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ) ).
cnf(co1_11,negated_conjecture,
( memberP(sk4,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0) ) ).
cnf(co1_12,negated_conjecture,
( ~ leq(X1,X0)
| ~ memberP(sk4,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ memberP(sk3,X0)
| ~ ssItem(X0) ) ).
cnf(co1_13,negated_conjecture,
ssItem(sk6) ).
cnf(co1_14,negated_conjecture,
( memberP(sk2,sk6)
| memberP(sk1,sk6) ) ).
cnf(co1_15,negated_conjecture,
( ~ leq(X0,sk6)
| ~ memberP(sk2,X0)
| sk6 = X0
| ~ ssItem(X0)
| memberP(sk1,sk6) ) ).
cnf(co1_16,negated_conjecture,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6)
| ssItem(sk7) ) ).
cnf(co1_17,negated_conjecture,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6)
| memberP(sk2,sk7) ) ).
cnf(co1_18,negated_conjecture,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6)
| leq(sk7,sk6) ) ).
cnf(co1_19,negated_conjecture,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6)
| sk6 != sk7 ) ).
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,
( ~ memberP(sk4,X0)
| ssItem(sk5(X0))
| memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( ~ memberP(sk4,X0)
| memberP(sk4,sk5(X0))
| memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
( ~ memberP(sk4,X0)
| leq(sk5(X0),X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
( ~ memberP(sk4,X0)
| X0 != sk5(X0)
| memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c10,plain,
( memberP(sk4,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
( ~ leq(X1,X0)
| ~ memberP(sk4,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ memberP(sk3,X0)
| X0 = X1 ),
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c12,plain,
ssItem(sk6),
inference(clausification,[status(esa)],[co1_13]) ).
cnf(c13,plain,
( memberP(sk2,sk6)
| memberP(sk1,sk6) ),
inference(clausification,[status(esa)],[co1_14]) ).
cnf(c14,plain,
( memberP(sk1,sk6)
| sk6 = X0
| ~ ssItem(X0)
| ~ leq(X0,sk6)
| ~ memberP(sk2,X0) ),
inference(clausification,[status(esa)],[co1_15]) ).
cnf(c15,plain,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6)
| ssItem(sk7) ),
inference(clausification,[status(esa)],[co1_16]) ).
cnf(c16,plain,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6)
| memberP(sk2,sk7) ),
inference(clausification,[status(esa)],[co1_17]) ).
cnf(c17,plain,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6)
| leq(sk7,sk6) ),
inference(clausification,[status(esa)],[co1_18]) ).
cnf(c18,plain,
( ~ memberP(sk1,sk6)
| ~ memberP(sk2,sk6)
| sk6 != sk7 ),
inference(clausification,[status(esa)],[co1_19]) ).
cnf(d0,plain,
( memberP(sk4,X0)
| ~ memberP(sk1,X0)
| ~ ssItem(X0) ),
inference(demodulation,[status(thm)],[c10,c5]) ).
cnf(d1,plain,
( memberP(sk2,X0)
| ~ memberP(sk1,X0)
| ~ ssItem(X0) ),
inference(demodulation,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
( ~ memberP(sk4,X0)
| memberP(sk1,X0)
| ~ ssItem(X0)
| X0 != sk5(X0) ),
inference(demodulation,[status(thm)],[c9,c5]) ).
cnf(d3,plain,
( ~ memberP(sk2,X0)
| memberP(sk1,X0)
| ~ ssItem(X0)
| X0 != sk5(X0) ),
inference(demodulation,[status(thm)],[d2,c4]) ).
cnf(d4,plain,
( memberP(sk4,sk5(X0))
| ~ memberP(sk4,X0)
| memberP(sk1,X0)
| ~ ssItem(X0) ),
inference(demodulation,[status(thm)],[c7,c5]) ).
cnf(d5,plain,
( memberP(sk4,sk5(X0))
| ~ memberP(sk2,X0)
| memberP(sk1,X0)
| ~ ssItem(X0) ),
inference(demodulation,[status(thm)],[d4,c4]) ).
cnf(d6,plain,
( memberP(sk2,sk5(X0))
| ~ memberP(sk2,X0)
| memberP(sk1,X0)
| ~ ssItem(X0) ),
inference(demodulation,[status(thm)],[d5,c4]) ).
cnf(d7,plain,
( leq(sk5(X0),X0)
| ~ memberP(sk4,X0)
| memberP(sk1,X0)
| ~ ssItem(X0) ),
inference(demodulation,[status(thm)],[c8,c5]) ).
cnf(d8,plain,
( leq(sk5(X0),X0)
| ~ memberP(sk2,X0)
| memberP(sk1,X0)
| ~ ssItem(X0) ),
inference(demodulation,[status(thm)],[d7,c4]) ).
cnf(d9,plain,
( ~ memberP(sk2,sk6)
| memberP(sk1,sk6)
| ~ ssItem(sk6)
| ~ memberP(sk2,sk5(sk6))
| memberP(sk1,sk6)
| ~ ssItem(sk5(sk6))
| sk6 = sk5(sk6) ),
inference(resolution,[status(thm)],[c14,d8]) ).
cnf(d10,plain,
( ~ memberP(sk2,sk6)
| ~ memberP(sk2,sk5(sk6))
| memberP(sk1,sk6)
| ~ ssItem(sk5(sk6))
| sk6 = sk5(sk6) ),
inference(resolution,[status(thm)],[c12,d9]) ).
cnf(d11,plain,
( ~ memberP(sk2,sk6)
| memberP(sk1,sk6)
| ~ ssItem(sk6)
| ~ memberP(sk2,sk6)
| memberP(sk1,sk6)
| ~ ssItem(sk5(sk6))
| sk6 = sk5(sk6) ),
inference(resolution,[status(thm)],[d10,d6]) ).
cnf(d12,plain,
( ~ memberP(sk2,sk6)
| memberP(sk1,sk6)
| ~ ssItem(sk5(sk6))
| sk6 = sk5(sk6) ),
inference(resolution,[status(thm)],[c12,d11]) ).
cnf(d13,plain,
( ~ memberP(sk2,sk6)
| memberP(sk1,sk6)
| ~ ssItem(sk5(sk6))
| ~ memberP(sk2,sk6)
| memberP(sk1,sk6)
| ~ ssItem(sk6)
| sk6 != sk6 ),
inference(superposition,[status(thm)],[d12,d3]) ).
cnf(d14,plain,
( ~ memberP(sk2,sk6)
| memberP(sk1,sk6)
| ~ ssItem(sk5(sk6))
| sk6 != sk6 ),
inference(resolution,[status(thm)],[c12,d13]) ).
cnf(d15,plain,
( ~ memberP(sk2,sk6)
| memberP(sk1,sk6)
| ~ ssItem(sk5(sk6)) ),
inference(equality_resolution,[status(thm)],[d14]) ).
cnf(d16,plain,
( memberP(sk1,sk6)
| memberP(sk1,sk6)
| ~ ssItem(sk5(sk6)) ),
inference(resolution,[status(thm)],[d15,c13]) ).
cnf(d17,plain,
( ~ memberP(sk4,X0)
| memberP(sk1,X0)
| ssItem(sk5(X0))
| ~ ssItem(X0) ),
inference(demodulation,[status(thm)],[c6,c5]) ).
cnf(d18,plain,
( ~ memberP(sk2,X0)
| memberP(sk1,X0)
| ssItem(sk5(X0))
| ~ ssItem(X0) ),
inference(demodulation,[status(thm)],[d17,c4]) ).
cnf(d19,plain,
( memberP(sk1,sk6)
| ssItem(sk5(sk6))
| ~ ssItem(sk6)
| memberP(sk1,sk6) ),
inference(resolution,[status(thm)],[c13,d18]) ).
cnf(d20,plain,
( memberP(sk1,sk6)
| ssItem(sk5(sk6)) ),
inference(resolution,[status(thm)],[c12,d19]) ).
cnf(d21,plain,
( memberP(sk2,sk6)
| ~ ssItem(sk6)
| ssItem(sk5(sk6)) ),
inference(resolution,[status(thm)],[d20,d1]) ).
cnf(d22,plain,
( memberP(sk2,sk6)
| ssItem(sk5(sk6)) ),
inference(resolution,[status(thm)],[c12,d21]) ).
cnf(d23,plain,
( ssItem(sk5(sk6))
| memberP(sk2,sk7)
| ~ memberP(sk1,sk6) ),
inference(resolution,[status(thm)],[c16,d22]) ).
cnf(d24,plain,
( ssItem(sk5(sk6))
| memberP(sk2,sk7)
| ssItem(sk5(sk6)) ),
inference(resolution,[status(thm)],[d23,d20]) ).
cnf(d25,plain,
( ~ leq(X1,X0)
| ~ memberP(sk4,X1)
| ~ memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| X0 = X1 ),
inference(demodulation,[status(thm)],[c11,c5]) ).
cnf(d26,plain,
( ~ leq(X1,X0)
| ~ memberP(sk2,X1)
| ~ memberP(sk1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| X0 = X1 ),
inference(demodulation,[status(thm)],[d25,c4]) ).
cnf(d27,plain,
( ssItem(sk5(sk6))
| leq(sk7,sk6)
| ~ memberP(sk1,sk6) ),
inference(resolution,[status(thm)],[c17,d22]) ).
cnf(d28,plain,
( ssItem(sk5(sk6))
| leq(sk7,sk6)
| ssItem(sk5(sk6)) ),
inference(resolution,[status(thm)],[d27,d20]) ).
cnf(d29,plain,
( ~ memberP(sk2,sk7)
| ~ memberP(sk1,sk6)
| ~ ssItem(sk6)
| ~ ssItem(sk7)
| sk6 = sk7
| ssItem(sk5(sk6)) ),
inference(resolution,[status(thm)],[d28,d26]) ).
cnf(d30,plain,
( ~ memberP(sk2,sk7)
| ~ memberP(sk1,sk6)
| ~ ssItem(sk7)
| ssItem(sk5(sk6))
| sk6 = sk7 ),
inference(resolution,[status(thm)],[c12,d29]) ).
cnf(d31,plain,
( ssItem(sk5(sk6))
| ~ memberP(sk1,sk6)
| ~ ssItem(sk7)
| ssItem(sk5(sk6))
| sk6 = sk7 ),
inference(resolution,[status(thm)],[d30,d24]) ).
cnf(d32,plain,
( ssItem(sk5(sk6))
| ~ ssItem(sk7)
| ssItem(sk5(sk6))
| sk6 = sk7 ),
inference(resolution,[status(thm)],[d31,d20]) ).
cnf(d33,plain,
( ~ memberP(sk1,sk6)
| ssItem(sk7)
| ssItem(sk5(sk6)) ),
inference(resolution,[status(thm)],[d22,c15]) ).
cnf(d34,plain,
( ssItem(sk5(sk6))
| ssItem(sk7)
| ssItem(sk5(sk6)) ),
inference(resolution,[status(thm)],[d33,d20]) ).
cnf(d35,plain,
( ssItem(sk7)
| memberP(sk1,sk6) ),
inference(resolution,[status(thm)],[d16,d34]) ).
cnf(d36,plain,
( memberP(sk2,sk6)
| ~ ssItem(sk6)
| ssItem(sk7) ),
inference(resolution,[status(thm)],[d35,d1]) ).
cnf(d37,plain,
( memberP(sk2,sk6)
| ssItem(sk7) ),
inference(resolution,[status(thm)],[c12,d36]) ).
cnf(d38,plain,
( ~ memberP(sk1,sk6)
| ssItem(sk7)
| ssItem(sk7) ),
inference(resolution,[status(thm)],[d37,c15]) ).
cnf(d39,plain,
( ssItem(sk7)
| ssItem(sk7) ),
inference(resolution,[status(thm)],[d38,d35]) ).
cnf(d40,plain,
( ssItem(sk5(sk6))
| sk6 = sk7 ),
inference(resolution,[status(thm)],[d39,d32]) ).
cnf(d41,plain,
( memberP(sk1,sk6)
| sk6 = sk7 ),
inference(resolution,[status(thm)],[d40,d16]) ).
cnf(d42,plain,
( memberP(sk2,sk6)
| ~ ssItem(sk6)
| sk6 = sk7 ),
inference(resolution,[status(thm)],[d41,d1]) ).
cnf(d43,plain,
( memberP(sk2,sk6)
| sk6 = sk7 ),
inference(resolution,[status(thm)],[c12,d42]) ).
cnf(d44,plain,
( memberP(sk2,sk7)
| ~ memberP(sk1,sk6)
| sk6 = sk7 ),
inference(resolution,[status(thm)],[d43,c16]) ).
cnf(d45,plain,
( sk6 = sk7
| memberP(sk2,sk7)
| sk6 = sk7 ),
inference(resolution,[status(thm)],[d44,d41]) ).
cnf(d46,plain,
( leq(sk7,sk6)
| ~ memberP(sk1,sk6)
| sk6 = sk7 ),
inference(resolution,[status(thm)],[d43,c17]) ).
cnf(d47,plain,
( sk6 = sk7
| leq(sk7,sk6)
| sk6 = sk7 ),
inference(resolution,[status(thm)],[d46,d41]) ).
cnf(d48,plain,
( ~ memberP(sk2,sk7)
| ~ memberP(sk1,sk6)
| ~ ssItem(sk6)
| ~ ssItem(sk7)
| sk6 = sk7
| sk6 = sk7 ),
inference(resolution,[status(thm)],[d47,d26]) ).
cnf(d49,plain,
( ~ memberP(sk2,sk7)
| ~ memberP(sk1,sk6)
| ~ ssItem(sk7)
| sk6 = sk7 ),
inference(resolution,[status(thm)],[c12,d48]) ).
cnf(d50,plain,
( ~ memberP(sk2,sk7)
| ~ memberP(sk1,sk6)
| sk6 = sk7 ),
inference(resolution,[status(thm)],[d39,d49]) ).
cnf(d51,plain,
( sk6 = sk7
| ~ memberP(sk1,sk6)
| sk6 = sk7 ),
inference(resolution,[status(thm)],[d50,d45]) ).
cnf(d52,plain,
( sk6 = sk7
| sk6 = sk7 ),
inference(resolution,[status(thm)],[d51,d41]) ).
cnf(d53,plain,
( ~ memberP(sk2,sk6)
| ~ memberP(sk1,sk6) ),
inference(resolution,[status(thm)],[d52,c18]) ).
cnf(d54,plain,
( ssItem(sk5(sk6))
| ~ memberP(sk1,sk6) ),
inference(resolution,[status(thm)],[d53,d22]) ).
cnf(d55,plain,
( ssItem(sk5(sk6))
| ssItem(sk5(sk6)) ),
inference(resolution,[status(thm)],[d54,d20]) ).
cnf(d56,plain,
memberP(sk1,sk6),
inference(resolution,[status(thm)],[d55,d16]) ).
cnf(d57,plain,
( memberP(sk2,sk6)
| ~ ssItem(sk6) ),
inference(resolution,[status(thm)],[d56,d1]) ).
cnf(d58,plain,
memberP(sk2,sk6),
inference(resolution,[status(thm)],[c12,d57]) ).
cnf(d59,plain,
~ memberP(sk2,sk6),
inference(resolution,[status(thm)],[d56,d53]) ).
cnf(d60,plain,
$false,
inference(resolution,[status(thm)],[d59,d58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC379-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 12:56:29 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.60/5.22 % SZS status Unsatisfiable for theBenchmark.p
% 37.60/5.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------