%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW430-1 : TPTP v9.3.1. Released v5.2.0.
% 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 09:11:51 AM UTC 2026
% Result : Unsatisfiable 48.77s 7.54s
% Output : CNFRefutation 48.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 100
% Number of leaves : 6
% Syntax : Number of clauses : 120 ( 112 unt; 8 nHn; 112 RR)
% Number of literals : 131 ( 35 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 19 ( 4 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 42 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(premise_1,hypothesis,
x3 != x11 ).
cnf(premise_5,hypothesis,
x2 != x10 ).
cnf(premise_6,hypothesis,
heap(sep(lseg(x5,x2),sep(lseg(x5,x7),sep(lseg(x5,x4),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))) ).
cnf(associative_commutative,axiom,
sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)) ).
cnf(normalization,axiom,
sep(lseg(X0,X0),X1) = X1 ).
cnf(wellformedness_5,axiom,
( X0 = X2
| X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3))) ) ).
cnf(c0,plain,
x3 != x11,
inference(clausification,[status(esa)],[premise_1]) ).
cnf(c4,plain,
x2 != x10,
inference(clausification,[status(esa)],[premise_5]) ).
cnf(c5,plain,
heap(sep(lseg(x5,x2),sep(lseg(x5,x7),sep(lseg(x5,x4),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(clausification,[status(esa)],[premise_6]) ).
cnf(c7,plain,
sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(clausification,[status(esa)],[associative_commutative]) ).
cnf(c8,plain,
sep(lseg(X0,X0),X1) = X1,
inference(clausification,[status(esa)],[normalization]) ).
cnf(c13,plain,
( X0 = X2
| X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3))) ),
inference(clausification,[status(esa)],[wellformedness_5]) ).
cnf(d0,plain,
sep(X3,sep(X1,sep(X0,X2))) = sep(X0,sep(X3,sep(X1,X2))),
inference(superposition,[status(thm)],[c7,c7]) ).
cnf(d1,plain,
sep(X1,sep(X2,sep(X0,X3))) = sep(X1,sep(X0,sep(X2,X3))),
inference(superposition,[status(thm)],[d0,c7]) ).
cnf(d2,plain,
sep(X4,sep(X2,sep(X0,sep(X1,X3)))) = sep(X1,sep(X4,sep(X0,sep(X2,X3)))),
inference(superposition,[status(thm)],[d0,d0]) ).
cnf(d3,plain,
sep(X4,sep(X5,sep(X1,sep(X2,sep(X0,X3))))) = sep(X0,sep(X4,sep(X5,sep(X1,sep(X2,X3))))),
inference(superposition,[status(thm)],[d0,d0]) ).
cnf(d4,plain,
( X0 = X4
| X0 = X1
| ~ heap(sep(lseg(X0,X4),sep(X2,sep(lseg(X0,X1),X3)))) ),
inference(superposition,[status(thm)],[c7,c13]) ).
cnf(d5,plain,
heap(sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[c5,c7]) ).
cnf(d6,plain,
heap(sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x12,x1),sep(lseg(x5,x4),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d5,c7]) ).
cnf(d7,plain,
heap(sep(lseg(x5,x7),sep(lseg(x12,x1),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d6,c7]) ).
cnf(d8,plain,
heap(sep(lseg(x12,x1),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d7,c7]) ).
cnf(d9,plain,
heap(sep(lseg(x12,x1),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x12,x6),sep(lseg(x5,x4),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d8,c7]) ).
cnf(d10,plain,
heap(sep(lseg(x12,x1),sep(lseg(x5,x7),sep(lseg(x12,x6),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d9,c7]) ).
cnf(d11,plain,
heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x2,x12),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d10,c7]) ).
cnf(d12,plain,
heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x2,x12),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d11,c7]) ).
cnf(d13,plain,
heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x5,x7),sep(lseg(x2,x12),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d12,c7]) ).
cnf(d14,plain,
heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d13,c7]) ).
cnf(d15,plain,
heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x3,x11),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d14,c7]) ).
cnf(d16,plain,
heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x3,x11),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d15,c7]) ).
cnf(d17,plain,
heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x3,x11),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d16,c7]) ).
cnf(d18,plain,
heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x3,x11),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d17,c7]) ).
cnf(d19,plain,
heap(sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x3,x11),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d18,c7]) ).
cnf(d20,plain,
heap(sep(lseg(x12,x1),sep(lseg(x3,x11),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d19,c7]) ).
cnf(d21,plain,
heap(sep(lseg(x3,x11),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d20,c7]) ).
cnf(d22,plain,
heap(sep(lseg(x3,x11),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x3,x1),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d21,c7]) ).
cnf(d23,plain,
heap(sep(lseg(x3,x11),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x3,x1),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d22,c7]) ).
cnf(d24,plain,
heap(sep(lseg(x3,x11),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x3,x1),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d23,c7]) ).
cnf(d25,plain,
heap(sep(lseg(x3,x11),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x3,x1),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d24,c7]) ).
cnf(d26,plain,
heap(sep(lseg(x3,x11),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x3,x1),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d25,c7]) ).
cnf(d27,plain,
heap(sep(lseg(x3,x11),sep(lseg(x12,x1),sep(lseg(x3,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d26,c7]) ).
cnf(d28,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x3,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d27,c7]) ).
cnf(d29,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x3,x6),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d28,c7]) ).
cnf(d30,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x3,x6),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d29,c7]) ).
cnf(d31,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x3,x6),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d30,c7]) ).
cnf(d32,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x3,x6),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d31,c7]) ).
cnf(d33,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x3,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d32,c7]) ).
cnf(d34,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x12,x1),sep(lseg(x3,x6),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d33,c7]) ).
cnf(d35,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x9,x10),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d34,c7]) ).
cnf(d36,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x9,x10),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d35,c7]) ).
cnf(d37,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d36,c7]) ).
cnf(d38,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d37,c7]) ).
cnf(d39,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x11,x8),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d38,c7]) ).
cnf(d40,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x11,x8),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d39,c7]) ).
cnf(d41,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x11,x8),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d40,c7]) ).
cnf(d42,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x11,x8),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d41,c7]) ).
cnf(d43,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x11,x8),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d42,c7]) ).
cnf(d44,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x11,x8),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d43,c7]) ).
cnf(d45,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x12,x1),sep(lseg(x11,x8),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d44,c7]) ).
cnf(d46,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x11,x6),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d45,c7]) ).
cnf(d47,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x11,x6),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d46,c7]) ).
cnf(d48,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x11,x6),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d47,c7]) ).
cnf(d49,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x11,x6),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d48,c7]) ).
cnf(d50,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x11,x6),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d49,c7]) ).
cnf(d51,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x11,x6),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d50,c7]) ).
cnf(d52,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x11,x6),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d51,c7]) ).
cnf(d53,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x11,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d52,c7]) ).
cnf(d54,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x11,x6),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d53,c7]) ).
cnf(d55,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x8),sep(lseg(x11,x6),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d54,c7]) ).
cnf(d56,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d55,c7]) ).
cnf(d57,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x9,x10),sep(lseg(x1,x8),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d56,c7]) ).
cnf(d58,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x9,x10),sep(lseg(x6,x2),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d57,c7]) ).
cnf(d59,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x1),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d58,c7]) ).
cnf(d60,plain,
( x3 = x11
| x3 = x1 ),
inference(resolution,[status(thm)],[d59,c13]) ).
cnf(d61,plain,
x3 = x1,
inference(resolution,[status(thm)],[c0,d60]) ).
cnf(d62,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x3),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x1),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d59,d61]) ).
cnf(d63,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x3),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x1,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d62,d61]) ).
cnf(d64,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x3),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x9),sep(lseg(x1,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d63,d61]) ).
cnf(d65,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x3),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d64,d61]) ).
cnf(d66,plain,
heap(sep(lseg(x3,x3),sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp)))))))))))))))))),
inference(demodulation,[status(thm)],[d65,c7]) ).
cnf(d67,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(demodulation,[status(thm)],[d66,c8]) ).
cnf(d68,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x3,x9),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(demodulation,[status(thm)],[d67,d0]) ).
cnf(d69,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x3,x9),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(demodulation,[status(thm)],[d68,d0]) ).
cnf(d70,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x3,x9),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(demodulation,[status(thm)],[d69,d0]) ).
cnf(d71,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x3,x9),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(demodulation,[status(thm)],[d70,d0]) ).
cnf(d72,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x9),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(demodulation,[status(thm)],[d71,d0]) ).
cnf(d73,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x9),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x3,x8),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(demodulation,[status(thm)],[d72,d0]) ).
cnf(d74,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x9),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x3,x8),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(demodulation,[status(thm)],[d73,d0]) ).
cnf(d75,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x9),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x3,x8),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(demodulation,[status(thm)],[d74,d0]) ).
cnf(d76,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x9),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x3,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(demodulation,[status(thm)],[d75,d0]) ).
cnf(d77,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x6),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(demodulation,[status(thm)],[d76,d0]) ).
cnf(d78,plain,
( x3 = x9
| x3 = x11 ),
inference(resolution,[status(thm)],[d77,d4]) ).
cnf(d79,plain,
x3 = x9,
inference(resolution,[status(thm)],[c0,d78]) ).
cnf(d80,plain,
( x3 = x11
| x3 = x6 ),
inference(resolution,[status(thm)],[d77,c13]) ).
cnf(d81,plain,
x3 = x6,
inference(resolution,[status(thm)],[c0,d80]) ).
cnf(d82,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x3),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x6),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(demodulation,[status(thm)],[d77,d81]) ).
cnf(d83,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x3),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x6),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(demodulation,[status(thm)],[d82,d81]) ).
cnf(d84,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x3),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x6,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(demodulation,[status(thm)],[d83,d81]) ).
cnf(d85,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x3),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(demodulation,[status(thm)],[d84,d81]) ).
cnf(d86,plain,
heap(sep(lseg(x3,x3),sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x2),sep(lseg(x9,x10),emp))))))))))))))))),
inference(demodulation,[status(thm)],[d85,c7]) ).
cnf(d87,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x9),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x2),sep(lseg(x9,x10),emp)))))))))))))))),
inference(demodulation,[status(thm)],[d86,c8]) ).
cnf(d88,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x3),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x2),sep(lseg(x9,x10),emp)))))))))))))))),
inference(demodulation,[status(thm)],[d87,d79]) ).
cnf(d89,plain,
heap(sep(lseg(x3,x3),sep(lseg(x3,x11),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x2),sep(lseg(x9,x10),emp)))))))))))))))),
inference(demodulation,[status(thm)],[d88,c7]) ).
cnf(d90,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x3,x2),sep(lseg(x9,x10),emp))))))))))))))),
inference(demodulation,[status(thm)],[d89,c8]) ).
cnf(d91,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x3,x2),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))),
inference(demodulation,[status(thm)],[d90,d3]) ).
cnf(d92,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x3,x2),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))),
inference(demodulation,[status(thm)],[d91,d3]) ).
cnf(d93,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x2),sep(lseg(x3,x8),sep(lseg(x11,x8),sep(lseg(x11,x3),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))),
inference(demodulation,[status(thm)],[d92,d2]) ).
cnf(d94,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x2),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x9),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))),
inference(demodulation,[status(thm)],[d93,d1]) ).
cnf(d95,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x2),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x3),sep(lseg(x4,x8),sep(lseg(x9,x10),emp))))))))))))))),
inference(demodulation,[status(thm)],[d94,d79]) ).
cnf(d96,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x2),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x3),sep(lseg(x4,x8),sep(lseg(x3,x10),emp))))))))))))))),
inference(demodulation,[status(thm)],[d95,d79]) ).
cnf(d97,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x2),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x3,x10),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x3),sep(lseg(x4,x8),emp))))))))))))))),
inference(demodulation,[status(thm)],[d96,d3]) ).
cnf(d98,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x2),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x3,x10),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x3),sep(lseg(x4,x8),emp))))))))))))))),
inference(demodulation,[status(thm)],[d97,d3]) ).
cnf(d99,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x2),sep(lseg(x3,x10),sep(lseg(x3,x8),sep(lseg(x11,x8),sep(lseg(x11,x3),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x3),sep(lseg(x4,x8),emp))))))))))))))),
inference(demodulation,[status(thm)],[d98,d2]) ).
cnf(d100,plain,
heap(sep(lseg(x3,x11),sep(lseg(x3,x2),sep(lseg(x3,x10),sep(lseg(x3,x8),sep(lseg(x11,x3),sep(lseg(x11,x8),sep(lseg(x12,x3),sep(lseg(x12,x3),sep(lseg(x2,x12),sep(lseg(x5,x7),sep(lseg(x5,x2),sep(lseg(x5,x4),sep(lseg(x4,x3),sep(lseg(x4,x8),emp))))))))))))))),
inference(demodulation,[status(thm)],[d99,d1]) ).
cnf(d101,plain,
( x3 = x11
| x3 = x2 ),
inference(resolution,[status(thm)],[d100,c13]) ).
cnf(d102,plain,
x3 = x2,
inference(resolution,[status(thm)],[c0,d101]) ).
cnf(d103,plain,
( x3 = x10
| x3 = x11 ),
inference(resolution,[status(thm)],[d100,d4]) ).
cnf(d104,plain,
x3 = x10,
inference(resolution,[status(thm)],[c0,d103]) ).
cnf(d105,plain,
x2 != x3,
inference(demodulation,[status(thm)],[c4,d104]) ).
cnf(d106,plain,
x3 != x3,
inference(demodulation,[status(thm)],[d105,d102]) ).
cnf(d107,plain,
$false,
inference(equality_resolution,[status(thm)],[d106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW430-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 15:55:13 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 48.77/7.54 % SZS status Unsatisfiable for theBenchmark.p
% 48.77/7.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------