%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV028+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 : Thu Sep 24 09:02:30 AM UTC 2026
% Result : Theorem 177.57s 177.85s
% Output : Proof 177.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 146 ( 82 unt; 0 def)
% Number of atoms : 881 ( 264 equ)
% Maximal formula atoms : 87 ( 6 avg)
% Number of connectives : 1097 ( 362 ~; 351 |; 359 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 27 con; 0-3 aty)
% Number of variables : 85 ( 0 sgn 60 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(gauss_init_0025,conjecture,
( ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [E] :
( ( leq(E,minus(n3,n1))
& leq(n0,E) )
=> a_select2(s_try7_init,E) = init )
& ! [D] :
( ( leq(D,n2)
& leq(n0,D) )
=> a_select2(s_center7_init,D) = init )
& ! [C] :
( ( leq(C,n3)
& leq(n0,C) )
=> a_select2(s_values7_init,C) = init )
& ! [A] :
( ( leq(A,n2)
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n3)
& leq(n0,B) )
=> a_select3(simplex7_init,B,A) = init ) )
& leq(pv1376,n3)
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init )
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [J] :
( ( leq(J,minus(n3,n1))
& leq(n0,J) )
=> a_select2(s_try7_init,J) = init )
& ! [I] :
( ( leq(I,n2)
& leq(n0,I) )
=> a_select2(s_center7_init,I) = init )
& ! [H] :
( ( leq(H,n3)
& leq(n0,H) )
=> a_select2(s_values7_init,H) = init )
& ! [F] :
( ( leq(F,n2)
& leq(n0,F) )
=> ! [G] :
( ( leq(G,n3)
& leq(n0,G) )
=> a_select3(simplex7_init,G,F) = init ) )
& leq(pv1376,n3)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init ) ),
file('theBenchmark.p',gauss_init_0025) ).
fof(f_53_1,negated_conjecture,
( ~ ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [J] :
( ( leq(J,minus(n3,n1))
& leq(n0,J) )
=> a_select2(s_try7_init,J) = init )
& ! [I] :
( ( leq(I,n2)
& leq(n0,I) )
=> a_select2(s_center7_init,I) = init )
& ! [H] :
( ( leq(H,n3)
& leq(n0,H) )
=> a_select2(s_values7_init,H) = init )
& ! [F] :
( ( leq(F,n2)
& leq(n0,F) )
=> ! [G] :
( ( leq(G,n3)
& leq(n0,G) )
=> a_select3(simplex7_init,G,F) = init ) )
& leq(pv1376,n3)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init )
& ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [E] :
( ( leq(E,minus(n3,n1))
& leq(n0,E) )
=> a_select2(s_try7_init,E) = init )
& ! [D] :
( ( leq(D,n2)
& leq(n0,D) )
=> a_select2(s_center7_init,D) = init )
& ! [C] :
( ( leq(C,n3)
& leq(n0,C) )
=> a_select2(s_values7_init,C) = init )
& ! [A] :
( ( leq(A,n2)
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n3)
& leq(n0,B) )
=> a_select3(simplex7_init,B,A) = init ) )
& leq(pv1376,n3)
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init ),
inference(negate,[status(cth)],[gauss_init_0025]) ).
fof(f_53_2,negated_conjecture,
( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [J] :
( a_select2(s_try7_init,J) != init
& leq(J,minus(n3,n1))
& leq(n0,J) )
| ? [I] :
( a_select2(s_center7_init,I) != init
& leq(I,n2)
& leq(n0,I) )
| ? [H] :
( a_select2(s_values7_init,H) != init
& leq(H,n3)
& leq(n0,H) )
| ? [F] :
( ? [G] :
( a_select3(simplex7_init,G,F) != init
& leq(G,n3)
& leq(n0,G) )
& leq(F,n2)
& leq(n0,F) )
| ~ leq(pv1376,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init
| init != init )
& ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [E] :
( a_select2(s_try7_init,E) = init
| ~ leq(E,minus(n3,n1))
| ~ leq(n0,E) )
& ! [D] :
( a_select2(s_center7_init,D) = init
| ~ leq(D,n2)
| ~ leq(n0,D) )
& ! [C] :
( a_select2(s_values7_init,C) = init
| ~ leq(C,n3)
| ~ leq(n0,C) )
& ! [A] :
( ! [B] :
( a_select3(simplex7_init,B,A) = init
| ~ leq(B,n3)
| ~ leq(n0,B) )
| ~ leq(A,n2)
| ~ leq(n0,A) )
& leq(pv1376,n3)
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init ),
inference(fof_nnf,[status(thm)],[f_53_1]) ).
fof(f_53_3,negated_conjecture,
( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [U_191] :
( a_select2(s_try7_init,U_191) != init
& leq(U_191,minus(n3,n1))
& leq(n0,U_191) )
| ? [U_190] :
( a_select2(s_center7_init,U_190) != init
& leq(U_190,n2)
& leq(n0,U_190) )
| ? [U_189] :
( a_select2(s_values7_init,U_189) != init
& leq(U_189,n3)
& leq(n0,U_189) )
| ? [U_188] :
( ? [U_187] :
( a_select3(simplex7_init,U_187,U_188) != init
& leq(U_187,n3)
& leq(n0,U_187) )
& leq(U_188,n2)
& leq(n0,U_188) )
| ~ leq(pv1376,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init
| init != init )
& ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [U_186] :
( a_select2(s_try7_init,U_186) = init
| ~ leq(U_186,minus(n3,n1))
| ~ leq(n0,U_186) )
& ! [U_185] :
( a_select2(s_center7_init,U_185) = init
| ~ leq(U_185,n2)
| ~ leq(n0,U_185) )
& ! [U_184] :
( a_select2(s_values7_init,U_184) = init
| ~ leq(U_184,n3)
| ~ leq(n0,U_184) )
& ! [U_183] :
( ! [U_182] :
( a_select3(simplex7_init,U_182,U_183) = init
| ~ leq(U_182,n3)
| ~ leq(n0,U_182) )
| ~ leq(U_183,n2)
| ~ leq(n0,U_183) )
& leq(pv1376,n3)
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init ),
inference(variable_rename,[status(thm)],[f_53_2]) ).
fof(f_53_4,negated_conjecture,
( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [U_191] :
( a_select2(s_try7_init,U_191) != init
& leq(U_191,minus(n3,n1))
& leq(n0,U_191) )
| ? [U_190] :
( a_select2(s_center7_init,U_190) != init
& leq(U_190,n2)
& leq(n0,U_190) )
| ? [U_189] :
( a_select2(s_values7_init,U_189) != init
& leq(U_189,n3)
& leq(n0,U_189) )
| ( ? [U_187] :
( a_select3(simplex7_init,U_187,sK28) != init
& leq(U_187,n3)
& leq(n0,U_187) )
& leq(sK28,n2)
& leq(n0,sK28) )
| ~ leq(pv1376,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init
| init != init )
& ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [U_186] :
( a_select2(s_try7_init,U_186) = init
| ~ leq(U_186,minus(n3,n1))
| ~ leq(n0,U_186) )
& ! [U_185] :
( a_select2(s_center7_init,U_185) = init
| ~ leq(U_185,n2)
| ~ leq(n0,U_185) )
& ! [U_184] :
( a_select2(s_values7_init,U_184) = init
| ~ leq(U_184,n3)
| ~ leq(n0,U_184) )
& ! [U_183] :
( ! [U_182] :
( a_select3(simplex7_init,U_182,U_183) = init
| ~ leq(U_182,n3)
| ~ leq(n0,U_182) )
| ~ leq(U_183,n2)
| ~ leq(n0,U_183) )
& leq(pv1376,n3)
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_188,sK28)],[f_53_3]) ).
fof(f_53_5,negated_conjecture,
( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [U_191] :
( a_select2(s_try7_init,U_191) != init
& leq(U_191,minus(n3,n1))
& leq(n0,U_191) )
| ? [U_190] :
( a_select2(s_center7_init,U_190) != init
& leq(U_190,n2)
& leq(n0,U_190) )
| ? [U_189] :
( a_select2(s_values7_init,U_189) != init
& leq(U_189,n3)
& leq(n0,U_189) )
| ( a_select3(simplex7_init,sK29,sK28) != init
& leq(sK29,n3)
& leq(n0,sK29)
& leq(sK28,n2)
& leq(n0,sK28) )
| ~ leq(pv1376,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init
| init != init )
& ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [U_186] :
( a_select2(s_try7_init,U_186) = init
| ~ leq(U_186,minus(n3,n1))
| ~ leq(n0,U_186) )
& ! [U_185] :
( a_select2(s_center7_init,U_185) = init
| ~ leq(U_185,n2)
| ~ leq(n0,U_185) )
& ! [U_184] :
( a_select2(s_values7_init,U_184) = init
| ~ leq(U_184,n3)
| ~ leq(n0,U_184) )
& ! [U_183] :
( ! [U_182] :
( a_select3(simplex7_init,U_182,U_183) = init
| ~ leq(U_182,n3)
| ~ leq(n0,U_182) )
| ~ leq(U_183,n2)
| ~ leq(n0,U_183) )
& leq(pv1376,n3)
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(U_187,sK29)],[f_53_4]) ).
fof(f_53_6,negated_conjecture,
( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [U_191] :
( a_select2(s_try7_init,U_191) != init
& leq(U_191,minus(n3,n1))
& leq(n0,U_191) )
| ? [U_190] :
( a_select2(s_center7_init,U_190) != init
& leq(U_190,n2)
& leq(n0,U_190) )
| ( a_select2(s_values7_init,sK30) != init
& leq(sK30,n3)
& leq(n0,sK30) )
| ( a_select3(simplex7_init,sK29,sK28) != init
& leq(sK29,n3)
& leq(n0,sK29)
& leq(sK28,n2)
& leq(n0,sK28) )
| ~ leq(pv1376,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init
| init != init )
& ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [U_186] :
( a_select2(s_try7_init,U_186) = init
| ~ leq(U_186,minus(n3,n1))
| ~ leq(n0,U_186) )
& ! [U_185] :
( a_select2(s_center7_init,U_185) = init
| ~ leq(U_185,n2)
| ~ leq(n0,U_185) )
& ! [U_184] :
( a_select2(s_values7_init,U_184) = init
| ~ leq(U_184,n3)
| ~ leq(n0,U_184) )
& ! [U_183] :
( ! [U_182] :
( a_select3(simplex7_init,U_182,U_183) = init
| ~ leq(U_182,n3)
| ~ leq(n0,U_182) )
| ~ leq(U_183,n2)
| ~ leq(n0,U_183) )
& leq(pv1376,n3)
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(U_189,sK30)],[f_53_5]) ).
fof(f_53_7,negated_conjecture,
( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [U_191] :
( a_select2(s_try7_init,U_191) != init
& leq(U_191,minus(n3,n1))
& leq(n0,U_191) )
| ( a_select2(s_center7_init,sK31) != init
& leq(sK31,n2)
& leq(n0,sK31) )
| ( a_select2(s_values7_init,sK30) != init
& leq(sK30,n3)
& leq(n0,sK30) )
| ( a_select3(simplex7_init,sK29,sK28) != init
& leq(sK29,n3)
& leq(n0,sK29)
& leq(sK28,n2)
& leq(n0,sK28) )
| ~ leq(pv1376,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init
| init != init )
& ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [U_186] :
( a_select2(s_try7_init,U_186) = init
| ~ leq(U_186,minus(n3,n1))
| ~ leq(n0,U_186) )
& ! [U_185] :
( a_select2(s_center7_init,U_185) = init
| ~ leq(U_185,n2)
| ~ leq(n0,U_185) )
& ! [U_184] :
( a_select2(s_values7_init,U_184) = init
| ~ leq(U_184,n3)
| ~ leq(n0,U_184) )
& ! [U_183] :
( ! [U_182] :
( a_select3(simplex7_init,U_182,U_183) = init
| ~ leq(U_182,n3)
| ~ leq(n0,U_182) )
| ~ leq(U_183,n2)
| ~ leq(n0,U_183) )
& leq(pv1376,n3)
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(U_190,sK31)],[f_53_6]) ).
fof(f_53_8,negated_conjecture,
( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ( a_select2(s_try7_init,sK32) != init
& leq(sK32,minus(n3,n1))
& leq(n0,sK32) )
| ( a_select2(s_center7_init,sK31) != init
& leq(sK31,n2)
& leq(n0,sK31) )
| ( a_select2(s_values7_init,sK30) != init
& leq(sK30,n3)
& leq(n0,sK30) )
| ( a_select3(simplex7_init,sK29,sK28) != init
& leq(sK29,n3)
& leq(n0,sK29)
& leq(sK28,n2)
& leq(n0,sK28) )
| ~ leq(pv1376,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init
| init != init )
& ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [U_186] :
( a_select2(s_try7_init,U_186) = init
| ~ leq(U_186,minus(n3,n1))
| ~ leq(n0,U_186) )
& ! [U_185] :
( a_select2(s_center7_init,U_185) = init
| ~ leq(U_185,n2)
| ~ leq(n0,U_185) )
& ! [U_184] :
( a_select2(s_values7_init,U_184) = init
| ~ leq(U_184,n3)
| ~ leq(n0,U_184) )
& ! [U_183] :
( ! [U_182] :
( a_select3(simplex7_init,U_182,U_183) = init
| ~ leq(U_182,n3)
| ~ leq(n0,U_182) )
| ~ leq(U_183,n2)
| ~ leq(n0,U_183) )
& leq(pv1376,n3)
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(U_191,sK32)],[f_53_7]) ).
fof(f_53_9,negated_conjecture,
( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init
| ~ sP19 )
& ( gt(loopcounter,n1)
| ~ sP19 )
& ( a_select2(s_try7_init,sK32) != init
| ~ sP18 )
& ( leq(sK32,minus(n3,n1))
| ~ sP18 )
& ( leq(n0,sK32)
| ~ sP18 )
& ( a_select2(s_center7_init,sK31) != init
| ~ sP17 )
& ( leq(sK31,n2)
| ~ sP17 )
& ( leq(n0,sK31)
| ~ sP17 )
& ( a_select2(s_values7_init,sK30) != init
| ~ sP16 )
& ( leq(sK30,n3)
| ~ sP16 )
& ( leq(n0,sK30)
| ~ sP16 )
& ( a_select3(simplex7_init,sK29,sK28) != init
| ~ sP15 )
& ( leq(sK29,n3)
| ~ sP15 )
& ( leq(n0,sK29)
| ~ sP15 )
& ( leq(sK28,n2)
| ~ sP15 )
& ( leq(n0,sK28)
| ~ sP15 )
& ( pvar1402_init = init
| ~ sP14 )
& ( pvar1401_init = init
| ~ sP14 )
& ( pvar1400_init = init
| ~ sP14 )
& ( sP19
| sP18
| sP17
| sP16
| sP15
| ~ leq(pv1376,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init
| init != init )
& ( sP14
| ~ gt(loopcounter,n1) )
& ! [U_186] :
( a_select2(s_try7_init,U_186) = init
| ~ leq(U_186,minus(n3,n1))
| ~ leq(n0,U_186) )
& ! [U_185] :
( a_select2(s_center7_init,U_185) = init
| ~ leq(U_185,n2)
| ~ leq(n0,U_185) )
& ! [U_184] :
( a_select2(s_values7_init,U_184) = init
| ~ leq(U_184,n3)
| ~ leq(n0,U_184) )
& ! [U_182,U_183] :
( a_select3(simplex7_init,U_182,U_183) = init
| ~ leq(U_182,n3)
| ~ leq(n0,U_182)
| ~ leq(U_183,n2)
| ~ leq(n0,U_183) )
& leq(pv1376,n3)
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP14,sP15,sP16,sP17,sP18,sP19])],[f_53_8]) ).
cnf(f_53_10,negated_conjecture,
init = init,
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_11,negated_conjecture,
s_best7_init = init,
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_12,negated_conjecture,
s_sworst7_init = init,
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_13,negated_conjecture,
s_worst7_init = init,
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_14,negated_conjecture,
leq(n0,s_best7),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_15,negated_conjecture,
leq(n0,s_sworst7),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_16,negated_conjecture,
leq(n0,s_worst7),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_18,negated_conjecture,
leq(n0,pv1376),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_19,negated_conjecture,
leq(s_best7,n3),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_20,negated_conjecture,
leq(s_sworst7,n3),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_21,negated_conjecture,
leq(s_worst7,n3),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_23,negated_conjecture,
leq(pv1376,n3),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_24,negated_conjecture,
( a_select3(simplex7_init,U_182,U_183) = init
| ~ leq(U_182,n3)
| ~ leq(n0,U_182)
| ~ leq(U_183,n2)
| ~ leq(n0,U_183) ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_25,negated_conjecture,
( a_select2(s_values7_init,U_184) = init
| ~ leq(U_184,n3)
| ~ leq(n0,U_184) ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_26,negated_conjecture,
( a_select2(s_center7_init,U_185) = init
| ~ leq(U_185,n2)
| ~ leq(n0,U_185) ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_27,negated_conjecture,
( a_select2(s_try7_init,U_186) = init
| ~ leq(U_186,minus(n3,n1))
| ~ leq(n0,U_186) ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_28,negated_conjecture,
( sP14
| ~ gt(loopcounter,n1) ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_29,negated_conjecture,
( sP19
| sP18
| sP17
| sP16
| sP15
| ~ leq(pv1376,n3)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init
| init != init ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_30,negated_conjecture,
( pvar1400_init = init
| ~ sP14 ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_31,negated_conjecture,
( pvar1401_init = init
| ~ sP14 ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_32,negated_conjecture,
( pvar1402_init = init
| ~ sP14 ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_33,negated_conjecture,
( leq(n0,sK28)
| ~ sP15 ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_34,negated_conjecture,
( leq(sK28,n2)
| ~ sP15 ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_35,negated_conjecture,
( leq(n0,sK29)
| ~ sP15 ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_36,negated_conjecture,
( leq(sK29,n3)
| ~ sP15 ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_37,negated_conjecture,
( a_select3(simplex7_init,sK29,sK28) != init
| ~ sP15 ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_38,negated_conjecture,
( leq(n0,sK30)
| ~ sP16 ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_39,negated_conjecture,
( leq(sK30,n3)
| ~ sP16 ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_40,negated_conjecture,
( a_select2(s_values7_init,sK30) != init
| ~ sP16 ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_41,negated_conjecture,
( leq(n0,sK31)
| ~ sP17 ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_42,negated_conjecture,
( leq(sK31,n2)
| ~ sP17 ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_43,negated_conjecture,
( a_select2(s_center7_init,sK31) != init
| ~ sP17 ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_44,negated_conjecture,
( leq(n0,sK32)
| ~ sP18 ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_45,negated_conjecture,
( leq(sK32,minus(n3,n1))
| ~ sP18 ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_46,negated_conjecture,
( a_select2(s_try7_init,sK32) != init
| ~ sP18 ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_47,negated_conjecture,
( gt(loopcounter,n1)
| ~ sP19 ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(f_53_48,negated_conjecture,
( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init
| ~ sP19 ),
inference(clausify,[status(thm)],[f_53_9]) ).
cnf(t1,plain,
( a_select3(simplex7_init,sK29,sK28) != init
| ~ sP15 ),
inference(start,[status(thm),parent(0:0)],[f_53_37]) ).
cnf(t2,plain,
( s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv1376,n3)
| sP19
| sP16
| sP17
| sP18
| init != init
| sP15 ),
inference(extension,[status(thm),parent(t1:1)],[f_53_29]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
init = init,
inference(extension,[status(thm),parent(t2:2)],[f_53_10]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( a_select2(s_try7_init,sK32) != init
| ~ sP18 ),
inference(extension,[status(thm),parent(t2:3)],[f_53_46]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( ~ leq(sK32,minus(n3,n1))
| ~ leq(n0,sK32)
| a_select2(s_try7_init,sK32) = init ),
inference(extension,[status(thm),parent(t6:2)],[f_53_27]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ sP18
| leq(n0,sK32) ),
inference(extension,[status(thm),parent(t8:2)],[f_53_44]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
$false,
inference(reduction,[status(thm),parent(t10:2)],[t10:2,t2:3]) ).
cnf(t13,plain,
( ~ sP18
| leq(sK32,minus(n3,n1)) ),
inference(extension,[status(thm),parent(t8:3)],[f_53_45]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t8:3]) ).
cnf(t15,plain,
$false,
inference(reduction,[status(thm),parent(t13:2)],[t13:2,t2:3]) ).
cnf(t16,plain,
( a_select2(s_center7_init,sK31) != init
| ~ sP17 ),
inference(extension,[status(thm),parent(t2:4)],[f_53_43]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t2:4]) ).
cnf(t18,plain,
( ~ leq(sK31,n2)
| ~ leq(n0,sK31)
| a_select2(s_center7_init,sK31) = init ),
inference(extension,[status(thm),parent(t16:2)],[f_53_26]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
( ~ sP17
| leq(n0,sK31) ),
inference(extension,[status(thm),parent(t18:2)],[f_53_41]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t18:2]) ).
cnf(t22,plain,
$false,
inference(reduction,[status(thm),parent(t20:2)],[t20:2,t2:4]) ).
cnf(t23,plain,
( ~ sP17
| leq(sK31,n2) ),
inference(extension,[status(thm),parent(t18:3)],[f_53_42]) ).
cnf(t24,plain,
$false,
inference(connection,[status(thm),parent(t23:1)],[t23:1,t18:3]) ).
cnf(t25,plain,
$false,
inference(reduction,[status(thm),parent(t23:2)],[t23:2,t2:4]) ).
cnf(t26,plain,
( a_select2(s_values7_init,sK30) != init
| ~ sP16 ),
inference(extension,[status(thm),parent(t2:5)],[f_53_40]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t2:5]) ).
cnf(t28,plain,
( ~ leq(sK30,n3)
| ~ leq(n0,sK30)
| a_select2(s_values7_init,sK30) = init ),
inference(extension,[status(thm),parent(t26:2)],[f_53_25]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
( ~ sP16
| leq(n0,sK30) ),
inference(extension,[status(thm),parent(t28:2)],[f_53_38]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
$false,
inference(reduction,[status(thm),parent(t30:2)],[t30:2,t2:5]) ).
cnf(t33,plain,
( ~ sP16
| leq(sK30,n3) ),
inference(extension,[status(thm),parent(t28:3)],[f_53_39]) ).
cnf(t34,plain,
$false,
inference(connection,[status(thm),parent(t33:1)],[t33:1,t28:3]) ).
cnf(t35,plain,
$false,
inference(reduction,[status(thm),parent(t33:2)],[t33:2,t2:5]) ).
cnf(t36,plain,
( pvar1400_init != init
| pvar1401_init != init
| pvar1402_init != init
| ~ sP19 ),
inference(extension,[status(thm),parent(t2:6)],[f_53_48]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t2:6]) ).
cnf(t38,plain,
( ~ sP14
| pvar1402_init = init ),
inference(extension,[status(thm),parent(t36:2)],[f_53_32]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
( ~ gt(loopcounter,n1)
| sP14 ),
inference(extension,[status(thm),parent(t38:2)],[f_53_28]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
( ~ sP19
| gt(loopcounter,n1) ),
inference(extension,[status(thm),parent(t40:2)],[f_53_47]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
$false,
inference(reduction,[status(thm),parent(t42:2)],[t42:2,t2:6]) ).
cnf(t45,plain,
( ~ sP14
| pvar1401_init = init ),
inference(extension,[status(thm),parent(t36:3)],[f_53_31]) ).
cnf(t46,plain,
$false,
inference(connection,[status(thm),parent(t45:1)],[t45:1,t36:3]) ).
cnf(t47,plain,
( ~ gt(loopcounter,n1)
| sP14 ),
inference(extension,[status(thm),parent(t45:2)],[f_53_28]) ).
cnf(t48,plain,
$false,
inference(connection,[status(thm),parent(t47:1)],[t47:1,t45:2]) ).
cnf(t49,plain,
( ~ sP19
| gt(loopcounter,n1) ),
inference(extension,[status(thm),parent(t47:2)],[f_53_47]) ).
cnf(t50,plain,
$false,
inference(connection,[status(thm),parent(t49:1)],[t49:1,t47:2]) ).
cnf(t51,plain,
$false,
inference(reduction,[status(thm),parent(t49:2)],[t49:2,t2:6]) ).
cnf(t52,plain,
( ~ sP14
| pvar1400_init = init ),
inference(extension,[status(thm),parent(t36:4)],[f_53_30]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t36:4]) ).
cnf(t54,plain,
( ~ gt(loopcounter,n1)
| sP14 ),
inference(extension,[status(thm),parent(t52:2)],[f_53_28]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
( ~ sP19
| gt(loopcounter,n1) ),
inference(extension,[status(thm),parent(t54:2)],[f_53_47]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t54:2]) ).
cnf(t58,plain,
$false,
inference(reduction,[status(thm),parent(t56:2)],[t56:2,t2:6]) ).
cnf(t59,plain,
leq(pv1376,n3),
inference(extension,[status(thm),parent(t2:7)],[f_53_23]) ).
cnf(t60,plain,
$false,
inference(connection,[status(thm),parent(t59:1)],[t59:1,t2:7]) ).
cnf(t61,plain,
leq(s_worst7,n3),
inference(extension,[status(thm),parent(t2:8)],[f_53_21]) ).
cnf(t62,plain,
$false,
inference(connection,[status(thm),parent(t61:1)],[t61:1,t2:8]) ).
cnf(t63,plain,
leq(s_sworst7,n3),
inference(extension,[status(thm),parent(t2:9)],[f_53_20]) ).
cnf(t64,plain,
$false,
inference(connection,[status(thm),parent(t63:1)],[t63:1,t2:9]) ).
cnf(t65,plain,
leq(s_best7,n3),
inference(extension,[status(thm),parent(t2:10)],[f_53_19]) ).
cnf(t66,plain,
$false,
inference(connection,[status(thm),parent(t65:1)],[t65:1,t2:10]) ).
cnf(t67,plain,
leq(n0,pv1376),
inference(extension,[status(thm),parent(t2:11)],[f_53_18]) ).
cnf(t68,plain,
$false,
inference(connection,[status(thm),parent(t67:1)],[t67:1,t2:11]) ).
cnf(t69,plain,
leq(n0,s_worst7),
inference(extension,[status(thm),parent(t2:12)],[f_53_16]) ).
cnf(t70,plain,
$false,
inference(connection,[status(thm),parent(t69:1)],[t69:1,t2:12]) ).
cnf(t71,plain,
leq(n0,s_sworst7),
inference(extension,[status(thm),parent(t2:13)],[f_53_15]) ).
cnf(t72,plain,
$false,
inference(connection,[status(thm),parent(t71:1)],[t71:1,t2:13]) ).
cnf(t73,plain,
leq(n0,s_best7),
inference(extension,[status(thm),parent(t2:14)],[f_53_14]) ).
cnf(t74,plain,
$false,
inference(connection,[status(thm),parent(t73:1)],[t73:1,t2:14]) ).
cnf(t75,plain,
s_worst7_init = init,
inference(extension,[status(thm),parent(t2:15)],[f_53_13]) ).
cnf(t76,plain,
$false,
inference(connection,[status(thm),parent(t75:1)],[t75:1,t2:15]) ).
cnf(t77,plain,
s_sworst7_init = init,
inference(extension,[status(thm),parent(t2:16)],[f_53_12]) ).
cnf(t78,plain,
$false,
inference(connection,[status(thm),parent(t77:1)],[t77:1,t2:16]) ).
cnf(t79,plain,
s_best7_init = init,
inference(extension,[status(thm),parent(t2:17)],[f_53_11]) ).
cnf(t80,plain,
$false,
inference(connection,[status(thm),parent(t79:1)],[t79:1,t2:17]) ).
cnf(l1,lemma,
sP15,
inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).
cnf(t81,plain,
( ~ leq(sK28,n2)
| ~ leq(n0,sK29)
| ~ leq(sK29,n3)
| ~ leq(n0,sK28)
| a_select3(simplex7_init,sK29,sK28) = init ),
inference(extension,[status(thm),parent(t1:2)],[f_53_24]) ).
cnf(t82,plain,
$false,
inference(connection,[status(thm),parent(t81:1)],[t81:1,t1:2]) ).
cnf(t83,plain,
( ~ sP15
| leq(n0,sK28) ),
inference(extension,[status(thm),parent(t81:2)],[f_53_33]) ).
cnf(t84,plain,
$false,
inference(connection,[status(thm),parent(t83:1)],[t83:1,t81:2]) ).
cnf(t85,plain,
sP15,
inference(lemma_extension,[status(thm),parent(t83:2)],[l1:1]) ).
cnf(t86,plain,
$false,
inference(connection,[status(thm),parent(t85:1)],[t85:1,t83:2]) ).
cnf(t87,plain,
( ~ sP15
| leq(sK29,n3) ),
inference(extension,[status(thm),parent(t81:3)],[f_53_36]) ).
cnf(t88,plain,
$false,
inference(connection,[status(thm),parent(t87:1)],[t87:1,t81:3]) ).
cnf(t89,plain,
sP15,
inference(lemma_extension,[status(thm),parent(t87:2)],[l1:1]) ).
cnf(t90,plain,
$false,
inference(connection,[status(thm),parent(t89:1)],[t89:1,t87:2]) ).
cnf(t91,plain,
( ~ sP15
| leq(n0,sK29) ),
inference(extension,[status(thm),parent(t81:4)],[f_53_35]) ).
cnf(t92,plain,
$false,
inference(connection,[status(thm),parent(t91:1)],[t91:1,t81:4]) ).
cnf(t93,plain,
sP15,
inference(lemma_extension,[status(thm),parent(t91:2)],[l1:1]) ).
cnf(t94,plain,
$false,
inference(connection,[status(thm),parent(t93:1)],[t93:1,t91:2]) ).
cnf(t95,plain,
( ~ sP15
| leq(sK28,n2) ),
inference(extension,[status(thm),parent(t81:5)],[f_53_34]) ).
cnf(t96,plain,
$false,
inference(connection,[status(thm),parent(t95:1)],[t95:1,t81:5]) ).
cnf(t97,plain,
sP15,
inference(lemma_extension,[status(thm),parent(t95:2)],[l1:1]) ).
cnf(t98,plain,
$false,
inference(connection,[status(thm),parent(t97:1)],[t97:1,t95:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV028+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.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 : Sun Sep 20 02:59:20 UTC 2026
% 0.09/0.37 % CPUTime :
% 177.57/177.85 % SZS status Theorem for theBenchmark
% 177.57/177.85 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------