%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWW443-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 : Fri Sep 25 03:27:06 PM UTC 2026
% Result : Unsatisfiable 189.49s 29.43s
% Output : Proof 189.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 91
% Number of leaves : 32
% Syntax : Number of formulae : 244 ( 240 unt; 0 def)
% Number of atoms : 252 ( 236 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 110 ( 102 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 23 con; 0-4 aty)
% Number of variables : 168 ( 58 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f6,axiom,
( X = Z
| X = Y
| ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellformedness_5) ).
fof(f6_nnf,plain,
! [X,Y,Z,Sigma] :
( X = Z
| X = Y
| ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma))) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,Y,Z,Sigma] :
( X = Z
| X = Y
| ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma))) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( X0 = X2
| X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3))) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(t60,plain,
ifeq(heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))),true,or(eq(X1,X2),eq(X1,X3)),true) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t86,plain,
ifeq(heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))),true,or(eq(X1,X2),eq(X1,X3)),true) = true,
inference(orient,[status(thm)],[t60]) ).
cnf(f32,hypothesis,
x5 != x15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_22) ).
fof(f32_nnf,plain,
x5 != x15,
inference(nnf_transformation,[status(thm)],[f32]) ).
fof(f32_sk,plain,
x5 != x15,
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c32,plain,
x5 != x15,
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(t19,plain,
eq(x5,x15) = false,
inference(equality_encoding,[status(esa)],[c32]) ).
cnf(t185,plain,
eq(x5,x15) = false,
inference(orient,[status(thm)],[t19]) ).
cnf(t188,plain,
true = ifeq(heap(sep(lseg(x5,x15),sep(lseg(x5,X1),X2))),true,or(false,eq(x5,X1)),true),
inference(cp,[status(thm)],[t86,t185]) ).
cnf(f0,axiom,
sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_commutative) ).
fof(f0_nnf,plain,
! [S,T,Sigma] : sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [S,T,Sigma] : sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t53,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t264,plain,
sep(X1,sep(X2,X3)) = sep(X2,sep(X1,X3)),
inference(orient,[status(thm)],[t53]) ).
cnf(t17945,plain,
true = ifeq(heap(sep(lseg(x5,X1),sep(lseg(x5,x15),X2))),true,or(false,eq(x5,X1)),true),
inference(step,[status(thm)],[t188,t264]) ).
cnf(t25,plain,
or(false,X1) = X1,
introduced(definition) ).
cnf(t71,plain,
or(false,X1) = X1,
inference(orient,[status(thm)],[t25]) ).
cnf(t17946,plain,
true = ifeq(heap(sep(lseg(x5,X1),sep(lseg(x5,x15),X2))),true,eq(x5,X1),true),
inference(step,[status(thm)],[t17945,t71]) ).
cnf(t507,plain,
ifeq(heap(sep(lseg(x5,X1),sep(lseg(x5,x15),X2))),true,eq(x5,X1),true) = true,
inference(orient,[status(thm)],[t17946]) ).
cnf(t509,plain,
true = ifeq(heap(sep(lseg(x5,X1),sep(X2,sep(lseg(x5,x15),X3)))),true,eq(x5,X1),true),
inference(cp,[status(thm)],[t507,t264]) ).
cnf(t18043,plain,
true = ifeq(heap(sep(X2,sep(lseg(x5,X1),sep(lseg(x5,x15),X3)))),true,eq(x5,X1),true),
inference(step,[status(thm)],[t509,t264]) ).
cnf(t913,plain,
ifeq(heap(sep(X1,sep(lseg(x5,X2),sep(lseg(x5,x15),X3)))),true,eq(x5,X2),true) = true,
inference(orient,[status(thm)],[t18043]) ).
cnf(t916,plain,
true = ifeq(heap(sep(X1,sep(lseg(x5,X2),sep(X3,sep(lseg(x5,x15),X4))))),true,eq(x5,X2),true),
inference(cp,[status(thm)],[t913,t264]) ).
cnf(t18196,plain,
true = ifeq(heap(sep(X1,sep(X3,sep(lseg(x5,X2),sep(lseg(x5,x15),X4))))),true,eq(x5,X2),true),
inference(step,[status(thm)],[t916,t264]) ).
cnf(t1829,plain,
ifeq(heap(sep(X1,sep(X2,sep(lseg(x5,X3),sep(lseg(x5,x15),X4))))),true,eq(x5,X3),true) = true,
inference(orient,[status(thm)],[t18196]) ).
cnf(f18,hypothesis,
x2 != x8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_8) ).
fof(f18_nnf,plain,
x2 != x8,
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
x2 != x8,
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
x2 != x8,
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(t14,plain,
eq(x2,x8) = false,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(t167,plain,
eq(x2,x8) = false,
inference(orient,[status(thm)],[t14]) ).
cnf(t52,plain,
ifeq(eq(X1,X2),true,X1,X2) = X2,
introduced(definition) ).
cnf(t67,plain,
ifeq(eq(X1,X2),true,X1,X2) = X2,
inference(orient,[status(thm)],[t52]) ).
cnf(t272,plain,
true = ifeq(heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))),true,or(eq(X1,X3),eq(X1,X2)),true),
inference(cp,[status(thm)],[t86,t264]) ).
cnf(t1755,plain,
ifeq(heap(sep(lseg(X1,X2),sep(lseg(X1,X3),X4))),true,or(eq(X1,X3),eq(X1,X2)),true) = true,
inference(orient,[status(thm)],[t272]) ).
cnf(t1756,plain,
true = ifeq(heap(sep(lseg(X1,X2),sep(X3,sep(lseg(X1,X4),X5)))),true,or(eq(X1,X4),eq(X1,X2)),true),
inference(cp,[status(thm)],[t1755,t264]) ).
cnf(t18251,plain,
true = ifeq(heap(sep(X3,sep(lseg(X1,X2),sep(lseg(X1,X4),X5)))),true,or(eq(X1,X4),eq(X1,X2)),true),
inference(step,[status(thm)],[t1756,t264]) ).
cnf(t2206,plain,
ifeq(heap(sep(X1,sep(lseg(X2,X3),sep(lseg(X2,X4),X5)))),true,or(eq(X2,X4),eq(X2,X3)),true) = true,
inference(orient,[status(thm)],[t18251]) ).
cnf(t2208,plain,
true = ifeq(heap(sep(X1,sep(lseg(X2,X3),sep(X4,sep(lseg(X2,X5),Y5))))),true,or(eq(X2,X5),eq(X2,X3)),true),
inference(cp,[status(thm)],[t2206,t264]) ).
cnf(t18480,plain,
true = ifeq(heap(sep(X1,sep(X4,sep(lseg(X2,X3),sep(lseg(X2,X5),Y5))))),true,or(eq(X2,X5),eq(X2,X3)),true),
inference(step,[status(thm)],[t2208,t264]) ).
cnf(t3464,plain,
ifeq(heap(sep(X1,sep(X2,sep(lseg(X3,X4),sep(lseg(X3,X5),Y5))))),true,or(eq(X3,X5),eq(X3,X4)),true) = true,
inference(orient,[status(thm)],[t18480]) ).
cnf(f33,hypothesis,
heap(sep(lseg(x10,x1),sep(lseg(x18,x15),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_23) ).
fof(f33_nnf,plain,
heap(sep(lseg(x10,x1),sep(lseg(x18,x15),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(nnf_transformation,[status(thm)],[f33]) ).
cnf(c33,plain,
heap(sep(lseg(x10,x1),sep(lseg(x18,x15),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(cnf_transformation,[status(esa)],[f33_nnf]) ).
cnf(t64,plain,
heap(sep(lseg(x10,x1),sep(lseg(x18,x15),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(equality_encoding,[status(esa)],[c33]) ).
cnf(t121,plain,
heap(sep(lseg(x10,x1),sep(lseg(x18,x15),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(orient,[status(thm)],[t64]) ).
cnf(t284,plain,
heap(sep(lseg(x10,x1),sep(lseg(x18,x15),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(rw,[status(thm)],[t121]) ).
cnf(t18816,plain,
heap(sep(lseg(x18,x15),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t284,t264]) ).
cnf(t18817,plain,
heap(sep(lseg(x18,x15),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18816,t264]) ).
cnf(t18818,plain,
heap(sep(lseg(x18,x15),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x1,x14),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18817,t264]) ).
cnf(t18819,plain,
heap(sep(lseg(x18,x15),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18818,t264]) ).
cnf(t18820,plain,
heap(sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18819,t264]) ).
cnf(t18821,plain,
heap(sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x2,x5),sep(lseg(x1,x14),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18820,t264]) ).
cnf(t18822,plain,
heap(sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18821,t264]) ).
cnf(t18823,plain,
heap(sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18822,t264]) ).
cnf(t18824,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18823,t264]) ).
cnf(t18825,plain,
heap(sep(lseg(x2,x5),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18824,t264]) ).
cnf(t18826,plain,
heap(sep(lseg(x2,x5),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18825,t264]) ).
cnf(t18827,plain,
heap(sep(lseg(x2,x5),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x12),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18826,t264]) ).
cnf(t18828,plain,
heap(sep(lseg(x2,x5),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x2,x12),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18827,t264]) ).
cnf(t18829,plain,
heap(sep(lseg(x2,x5),sep(lseg(x18,x15),sep(lseg(x2,x12),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18828,t264]) ).
cnf(t18830,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18829,t264]) ).
cnf(t18831,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x2,x18),sep(lseg(x1,x14),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18830,t264]) ).
cnf(t18832,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x18),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18831,t264]) ).
cnf(t18833,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x2,x18),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18832,t264]) ).
cnf(t18834,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x2,x18),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18833,t264]) ).
cnf(t18835,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18834,t264]) ).
cnf(t18836,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18835,t264]) ).
cnf(t18837,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x2,x8),sep(lseg(x1,x14),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18836,t264]) ).
cnf(t18838,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x8),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18837,t264]) ).
cnf(t18839,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x2,x8),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18838,t264]) ).
cnf(t18840,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x2,x8),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18839,t264]) ).
cnf(t18841,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x2,x8),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18840,t264]) ).
cnf(t18842,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18841,t264]) ).
cnf(t18843,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18842,t264]) ).
cnf(t18844,plain,
heap(sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18843,t264]) ).
cnf(t18845,plain,
heap(sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x9,x5),sep(lseg(x1,x14),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18844,t264]) ).
cnf(t18846,plain,
heap(sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18845,t264]) ).
cnf(t18847,plain,
heap(sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x9,x5),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18846,t264]) ).
cnf(t18848,plain,
heap(sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18847,t264]) ).
cnf(t18849,plain,
heap(sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x9,x5),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18848,t264]) ).
cnf(t18850,plain,
heap(sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x9,x5),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18849,t264]) ).
cnf(t18851,plain,
heap(sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x9,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18850,t264]) ).
cnf(t18852,plain,
heap(sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18851,t264]) ).
cnf(t18853,plain,
heap(sep(lseg(x9,x5),sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18852,t264]) ).
cnf(t18854,plain,
heap(sep(lseg(x9,x5),sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x7,x5),sep(lseg(x1,x14),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18853,t264]) ).
cnf(t18855,plain,
heap(sep(lseg(x9,x5),sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x7,x5),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18854,t264]) ).
cnf(t18856,plain,
heap(sep(lseg(x9,x5),sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18855,t264]) ).
cnf(t18857,plain,
heap(sep(lseg(x9,x5),sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x7,x5),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18856,t264]) ).
cnf(t18858,plain,
heap(sep(lseg(x9,x5),sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x7,x5),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18857,t264]) ).
cnf(t18859,plain,
heap(sep(lseg(x9,x5),sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x7,x5),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18858,t264]) ).
cnf(t18860,plain,
heap(sep(lseg(x9,x5),sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x7,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18859,t264]) ).
cnf(t18861,plain,
heap(sep(lseg(x9,x5),sep(lseg(x2,x8),sep(lseg(x7,x5),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18860,t264]) ).
cnf(t18862,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18861,t264]) ).
cnf(t18863,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x1,x14),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18862,t264]) ).
cnf(t18864,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x11,x9),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18863,t264]) ).
cnf(t18865,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x11,x9),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),sep(lseg(x11,x7),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18864,t264]) ).
cnf(t18866,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x11,x9),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x11,x7),sep(lseg(x1,x14),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18865,t264]) ).
cnf(t18867,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x11,x9),sep(lseg(x10,x1),sep(lseg(x11,x7),sep(lseg(x1,x3),sep(lseg(x1,x14),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18866,t264]) ).
cnf(t18868,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),emp)))))))))))))) = true,
inference(step,[status(thm)],[t18867,t264]) ).
cnf(t6157,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),emp)))))))))))))) = true,
inference(orient,[status(thm)],[t18868]) ).
cnf(t6227,plain,
true = ifeq(true,true,or(eq(x2,x5),eq(x2,x8)),true),
inference(cp,[status(thm)],[t3464,t6157]) ).
cnf(t27,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t66,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t27]) ).
cnf(t18869,plain,
true = or(eq(x2,x5),eq(x2,x8)),
inference(step,[status(thm)],[t6227,t66]) ).
cnf(t18870,plain,
true = or(eq(x2,x5),false),
inference(step,[status(thm)],[t18869,t167]) ).
cnf(t23,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t70,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t23]) ).
cnf(t18871,plain,
true = eq(x2,x5),
inference(step,[status(thm)],[t18870,t70]) ).
cnf(t6279,plain,
eq(x2,x5) = true,
inference(orient,[status(thm)],[t18871]) ).
cnf(t6280,plain,
x5 = ifeq(true,true,x2,x5),
inference(cp,[status(thm)],[t67,t6279]) ).
cnf(t18872,plain,
x5 = x2,
inference(step,[status(thm)],[t6280,t66]) ).
cnf(t6281,plain,
x2 = x5,
inference(orient,[status(thm)],[t18872]) ).
cnf(t18873,plain,
eq(x5,x8) = false,
inference(step,[status(thm)],[t167,t6281]) ).
cnf(t6282,plain,
eq(x5,x8) = false,
inference(rw,[status(thm)],[t18873]) ).
cnf(t6397,plain,
eq(x5,x8) = false,
inference(orient,[status(thm)],[t6282]) ).
cnf(t6429,plain,
true = ifeq(heap(sep(X1,sep(X2,sep(lseg(x5,x8),sep(lseg(x5,x15),X3))))),true,false,true),
inference(cp,[status(thm)],[t1829,t6397]) ).
cnf(t6719,plain,
ifeq(heap(sep(X1,sep(X2,sep(lseg(x5,x8),sep(lseg(x5,x15),X3))))),true,false,true) = true,
inference(orient,[status(thm)],[t6429]) ).
cnf(t6396,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x2,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),emp)))))))))))))) = true,
inference(rw,[status(thm)],[t6157]) ).
cnf(t19672,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x5,x8),sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),emp)))))))))))))) = true,
inference(step,[status(thm)],[t6396,t6281]) ).
cnf(t19673,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x5,x8),sep(lseg(x5,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),emp)))))))))))))) = true,
inference(step,[status(thm)],[t19672,t6281]) ).
cnf(f1,axiom,
sep(lseg(X,X),Sigma) = Sigma,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normalization) ).
fof(f1_nnf,plain,
! [X,Sigma] : sep(lseg(X,X),Sigma) = Sigma,
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X,Sigma] : sep(lseg(X,X),Sigma) = Sigma,
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(t50,plain,
sep(lseg(X1,X1),X2) = X2,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t65,plain,
sep(lseg(X1,X1),X2) = X2,
inference(orient,[status(thm)],[t50]) ).
cnf(t19674,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x5,x8),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),emp))))))))))))) = true,
inference(step,[status(thm)],[t19673,t65]) ).
cnf(t19675,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x5,x8),sep(lseg(x5,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),emp))))))))))))) = true,
inference(step,[status(thm)],[t19674,t6281]) ).
cnf(t19676,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x5,x8),sep(lseg(x5,x18),sep(lseg(x5,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),emp))))))))))))) = true,
inference(step,[status(thm)],[t19675,t6281]) ).
cnf(t10835,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x5,x8),sep(lseg(x5,x18),sep(lseg(x5,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),emp))))))))))))) = true,
inference(orient,[status(thm)],[t19676]) ).
cnf(t11141,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x5,x8),sep(lseg(x5,x18),sep(lseg(x5,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),emp))))))))))))) = true,
inference(rw,[status(thm)],[t10835]) ).
cnf(t10917,plain,
true = ifeq(true,true,or(eq(x5,x18),eq(x5,x8)),true),
inference(cp,[status(thm)],[t3464,t10835]) ).
cnf(t19677,plain,
true = or(eq(x5,x18),eq(x5,x8)),
inference(step,[status(thm)],[t10917,t66]) ).
cnf(t19678,plain,
true = or(eq(x5,x18),false),
inference(step,[status(thm)],[t19677,t6397]) ).
cnf(t19679,plain,
true = eq(x5,x18),
inference(step,[status(thm)],[t19678,t70]) ).
cnf(t10997,plain,
eq(x5,x18) = true,
inference(orient,[status(thm)],[t19679]) ).
cnf(t10998,plain,
x18 = ifeq(true,true,x5,x18),
inference(cp,[status(thm)],[t67,t10997]) ).
cnf(t19680,plain,
x18 = x5,
inference(step,[status(thm)],[t10998,t66]) ).
cnf(t10999,plain,
x18 = x5,
inference(orient,[status(thm)],[t19680]) ).
cnf(t20436,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x5,x8),sep(lseg(x5,x5),sep(lseg(x5,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),emp))))))))))))) = true,
inference(step,[status(thm)],[t11141,t10999]) ).
cnf(t20437,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x5,x8),sep(lseg(x5,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),emp)))))))))))) = true,
inference(step,[status(thm)],[t20436,t65]) ).
cnf(t20438,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x5,x8),sep(lseg(x5,x12),sep(lseg(x5,x15),sep(lseg(x12,x13),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),emp)))))))))))) = true,
inference(step,[status(thm)],[t20437,t10999]) ).
cnf(t20439,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x5,x8),sep(lseg(x5,x15),sep(lseg(x5,x12),sep(lseg(x12,x13),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),emp)))))))))))) = true,
inference(step,[status(thm)],[t20438,t264]) ).
cnf(t17581,plain,
heap(sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x5,x8),sep(lseg(x5,x15),sep(lseg(x5,x12),sep(lseg(x12,x13),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x1,x14),emp)))))))))))) = true,
inference(orient,[status(thm)],[t20439]) ).
cnf(t17658,plain,
true = ifeq(true,true,false,true),
inference(cp,[status(thm)],[t6719,t17581]) ).
cnf(t20440,plain,
true = false,
inference(step,[status(thm)],[t17658,t66]) ).
cnf(t17786,plain,
false = true,
inference(orient,[status(thm)],[t20440]) ).
cnf(f2,axiom,
~ heap(sep(next(nil,Y),Sigma)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellformedness_1) ).
fof(f2_nnf,plain,
! [Y,Sigma] : ~ heap(sep(next(nil,Y),Sigma)),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [Y,Sigma] : ~ heap(sep(next(nil,Y),Sigma)),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
~ heap(sep(next(nil,X0),X1)),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(f4,axiom,
~ heap(sep(next(X,Y),sep(next(X,Z),Sigma))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellformedness_3) ).
fof(f4_nnf,plain,
! [X,Y,Z,Sigma] : ~ heap(sep(next(X,Y),sep(next(X,Z),Sigma))),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X,Y,Z,Sigma] : ~ heap(sep(next(X,Y),sep(next(X,Z),Sigma))),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
~ heap(sep(next(X0,X1),sep(next(X0,X2),X3))),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(f11,hypothesis,
x6 != x13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_1) ).
fof(f11_nnf,plain,
x6 != x13,
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
x6 != x13,
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
x6 != x13,
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(f12,hypothesis,
x11 != x16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
fof(f12_nnf,plain,
x11 != x16,
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
x11 != x16,
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
x11 != x16,
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(f13,hypothesis,
x11 != x13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).
fof(f13_nnf,plain,
x11 != x13,
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
x11 != x13,
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
x11 != x13,
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(f14,hypothesis,
x11 != x15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_4) ).
fof(f14_nnf,plain,
x11 != x15,
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
x11 != x15,
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
x11 != x15,
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(f15,hypothesis,
x3 != x4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_5) ).
fof(f15_nnf,plain,
x3 != x4,
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
x3 != x4,
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c15,plain,
x3 != x4,
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(f16,hypothesis,
x3 != x5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_6) ).
fof(f16_nnf,plain,
x3 != x5,
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
x3 != x5,
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
x3 != x5,
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(f17,hypothesis,
x17 != x18,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_7) ).
fof(f17_nnf,plain,
x17 != x18,
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
x17 != x18,
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
x17 != x18,
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(f19,hypothesis,
x2 != x13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_9) ).
fof(f19_nnf,plain,
x2 != x13,
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
x2 != x13,
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
x2 != x13,
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(f20,hypothesis,
x2 != x14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_10) ).
fof(f20_nnf,plain,
x2 != x14,
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
x2 != x14,
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
x2 != x14,
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(f21,hypothesis,
x14 != x18,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_11) ).
fof(f21_nnf,plain,
x14 != x18,
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
x14 != x18,
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
x14 != x18,
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(f22,hypothesis,
x14 != x16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_12) ).
fof(f22_nnf,plain,
x14 != x16,
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
x14 != x16,
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
x14 != x16,
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(f23,hypothesis,
x8 != x9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_13) ).
fof(f23_nnf,plain,
x8 != x9,
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
x8 != x9,
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
x8 != x9,
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(f24,hypothesis,
x4 != x18,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_14) ).
fof(f24_nnf,plain,
x4 != x18,
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
x4 != x18,
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
x4 != x18,
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(f25,hypothesis,
x4 != x19,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_15) ).
fof(f25_nnf,plain,
x4 != x19,
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
x4 != x19,
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
x4 != x19,
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(f26,hypothesis,
x1 != x6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_16) ).
fof(f26_nnf,plain,
x1 != x6,
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
x1 != x6,
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
x1 != x6,
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(f27,hypothesis,
x1 != x13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_17) ).
fof(f27_nnf,plain,
x1 != x13,
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
x1 != x13,
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
x1 != x13,
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(f28,hypothesis,
x1 != x15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_18) ).
fof(f28_nnf,plain,
x1 != x15,
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
x1 != x15,
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
x1 != x15,
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(f29,hypothesis,
x1 != x14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_19) ).
fof(f29_nnf,plain,
x1 != x14,
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
x1 != x14,
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,plain,
x1 != x14,
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(f30,hypothesis,
x13 != x19,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_20) ).
fof(f30_nnf,plain,
x13 != x19,
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
x13 != x19,
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
x13 != x19,
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(f31,hypothesis,
x5 != x16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_21) ).
fof(f31_nnf,plain,
x5 != x16,
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
x5 != x16,
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c31,plain,
x5 != x16,
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c2,c4,c11,c12,c13,c14,c15,c16,c17,c18,c19,c20,c21,c22,c23,c24,c25,c26,c27,c28,c29,c30,c31,c32]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t17786]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW443-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/5.39 % Computer : n014.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Thu Sep 24 22:23:38 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 189.49/29.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 189.49/29.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------