%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV176+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:02:52 AM UTC 2026
% Result : Theorem 1.45s 1.77s
% Output : Proof 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 242 ( 58 equ)
% Maximal formula atoms : 37 ( 12 avg)
% Number of connectives : 319 ( 97 ~; 90 |; 105 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 17 con; 0-3 aty)
% Number of variables : 59 ( 0 sgn 56 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0056,conjecture,
( ( ( gt(loopcounter,n1)
=> ! [I] :
( ( leq(I,n4)
& leq(n0,I) )
=> a_select2(sigmaold_init,I) = init ) )
& ( gt(loopcounter,n1)
=> ! [H] :
( ( leq(H,n4)
& leq(n0,H) )
=> a_select2(rhoold_init,H) = init ) )
& ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(muold_init,G) = init ) )
& ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select3(center_init,F,n0) = init )
& ! [E] :
( ( leq(E,pred(pv40))
& leq(n0,E) )
=> a_select2(sigma_init,E) = init )
& ! [D] :
( ( leq(D,pred(pv40))
& leq(n0,D) )
=> a_select2(mu_init,D) = init )
& ! [C] :
( ( leq(C,n4)
& leq(n0,C) )
=> a_select2(rho_init,C) = init )
& ! [A] :
( ( leq(A,n135299)
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n4)
& leq(n0,B) )
=> a_select3(q_init,A,B) = init ) )
& gt(loopcounter,n1)
& leq(pv44,n135299)
& leq(pv40,n4)
& leq(n0,pv44)
& leq(n0,pv40) )
=> ! [J] :
( ( leq(J,n4)
& leq(n0,J) )
=> a_select2(muold_init,J) = init ) ),
file('theBenchmark.p',cl5_nebula_init_0056) ).
fof(f_53_1,negated_conjecture,
( ~ ! [J] :
( ( leq(J,n4)
& leq(n0,J) )
=> a_select2(muold_init,J) = init )
& ( gt(loopcounter,n1)
=> ! [I] :
( ( leq(I,n4)
& leq(n0,I) )
=> a_select2(sigmaold_init,I) = init ) )
& ( gt(loopcounter,n1)
=> ! [H] :
( ( leq(H,n4)
& leq(n0,H) )
=> a_select2(rhoold_init,H) = init ) )
& ( gt(loopcounter,n1)
=> ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select2(muold_init,G) = init ) )
& ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select3(center_init,F,n0) = init )
& ! [E] :
( ( leq(E,pred(pv40))
& leq(n0,E) )
=> a_select2(sigma_init,E) = init )
& ! [D] :
( ( leq(D,pred(pv40))
& leq(n0,D) )
=> a_select2(mu_init,D) = init )
& ! [C] :
( ( leq(C,n4)
& leq(n0,C) )
=> a_select2(rho_init,C) = init )
& ! [A] :
( ( leq(A,n135299)
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n4)
& leq(n0,B) )
=> a_select3(q_init,A,B) = init ) )
& gt(loopcounter,n1)
& leq(pv44,n135299)
& leq(pv40,n4)
& leq(n0,pv44)
& leq(n0,pv40) ),
inference(negate,[status(cth)],[cl5_nebula_init_0056]) ).
fof(f_53_2,negated_conjecture,
( ? [J] :
( a_select2(muold_init,J) != init
& leq(J,n4)
& leq(n0,J) )
& ( ! [I] :
( a_select2(sigmaold_init,I) = init
| ~ leq(I,n4)
| ~ leq(n0,I) )
| ~ gt(loopcounter,n1) )
& ( ! [H] :
( a_select2(rhoold_init,H) = init
| ~ leq(H,n4)
| ~ leq(n0,H) )
| ~ gt(loopcounter,n1) )
& ( ! [G] :
( a_select2(muold_init,G) = init
| ~ leq(G,n4)
| ~ leq(n0,G) )
| ~ gt(loopcounter,n1) )
& ! [F] :
( a_select3(center_init,F,n0) = init
| ~ leq(F,n4)
| ~ leq(n0,F) )
& ! [E] :
( a_select2(sigma_init,E) = init
| ~ leq(E,pred(pv40))
| ~ leq(n0,E) )
& ! [D] :
( a_select2(mu_init,D) = init
| ~ leq(D,pred(pv40))
| ~ leq(n0,D) )
& ! [C] :
( a_select2(rho_init,C) = init
| ~ leq(C,n4)
| ~ leq(n0,C) )
& ! [A] :
( ! [B] :
( a_select3(q_init,A,B) = init
| ~ leq(B,n4)
| ~ leq(n0,B) )
| ~ leq(A,n135299)
| ~ leq(n0,A) )
& gt(loopcounter,n1)
& leq(pv44,n135299)
& leq(pv40,n4)
& leq(n0,pv44)
& leq(n0,pv40) ),
inference(fof_nnf,[status(thm)],[f_53_1]) ).
fof(f_53_3,negated_conjecture,
( ? [U_191] :
( a_select2(muold_init,U_191) != init
& leq(U_191,n4)
& leq(n0,U_191) )
& ( ! [U_190] :
( a_select2(sigmaold_init,U_190) = init
| ~ leq(U_190,n4)
| ~ leq(n0,U_190) )
| ~ gt(loopcounter,n1) )
& ( ! [U_189] :
( a_select2(rhoold_init,U_189) = init
| ~ leq(U_189,n4)
| ~ leq(n0,U_189) )
| ~ gt(loopcounter,n1) )
& ( ! [U_188] :
( a_select2(muold_init,U_188) = init
| ~ leq(U_188,n4)
| ~ leq(n0,U_188) )
| ~ gt(loopcounter,n1) )
& ! [U_187] :
( a_select3(center_init,U_187,n0) = init
| ~ leq(U_187,n4)
| ~ leq(n0,U_187) )
& ! [U_186] :
( a_select2(sigma_init,U_186) = init
| ~ leq(U_186,pred(pv40))
| ~ leq(n0,U_186) )
& ! [U_185] :
( a_select2(mu_init,U_185) = init
| ~ leq(U_185,pred(pv40))
| ~ leq(n0,U_185) )
& ! [U_184] :
( a_select2(rho_init,U_184) = init
| ~ leq(U_184,n4)
| ~ leq(n0,U_184) )
& ! [U_183] :
( ! [U_182] :
( a_select3(q_init,U_183,U_182) = init
| ~ leq(U_182,n4)
| ~ leq(n0,U_182) )
| ~ leq(U_183,n135299)
| ~ leq(n0,U_183) )
& gt(loopcounter,n1)
& leq(pv44,n135299)
& leq(pv40,n4)
& leq(n0,pv44)
& leq(n0,pv40) ),
inference(variable_rename,[status(thm)],[f_53_2]) ).
fof(f_53_4,negated_conjecture,
( a_select2(muold_init,sK28) != init
& leq(sK28,n4)
& leq(n0,sK28)
& ( ! [U_190] :
( a_select2(sigmaold_init,U_190) = init
| ~ leq(U_190,n4)
| ~ leq(n0,U_190) )
| ~ gt(loopcounter,n1) )
& ( ! [U_189] :
( a_select2(rhoold_init,U_189) = init
| ~ leq(U_189,n4)
| ~ leq(n0,U_189) )
| ~ gt(loopcounter,n1) )
& ( ! [U_188] :
( a_select2(muold_init,U_188) = init
| ~ leq(U_188,n4)
| ~ leq(n0,U_188) )
| ~ gt(loopcounter,n1) )
& ! [U_187] :
( a_select3(center_init,U_187,n0) = init
| ~ leq(U_187,n4)
| ~ leq(n0,U_187) )
& ! [U_186] :
( a_select2(sigma_init,U_186) = init
| ~ leq(U_186,pred(pv40))
| ~ leq(n0,U_186) )
& ! [U_185] :
( a_select2(mu_init,U_185) = init
| ~ leq(U_185,pred(pv40))
| ~ leq(n0,U_185) )
& ! [U_184] :
( a_select2(rho_init,U_184) = init
| ~ leq(U_184,n4)
| ~ leq(n0,U_184) )
& ! [U_183] :
( ! [U_182] :
( a_select3(q_init,U_183,U_182) = init
| ~ leq(U_182,n4)
| ~ leq(n0,U_182) )
| ~ leq(U_183,n135299)
| ~ leq(n0,U_183) )
& gt(loopcounter,n1)
& leq(pv44,n135299)
& leq(pv40,n4)
& leq(n0,pv44)
& leq(n0,pv40) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_191,sK28)],[f_53_3]) ).
fof(f_53_5,negated_conjecture,
( a_select2(muold_init,sK28) != init
& leq(sK28,n4)
& leq(n0,sK28)
& ! [U_190] :
( a_select2(sigmaold_init,U_190) = init
| ~ leq(U_190,n4)
| ~ leq(n0,U_190)
| ~ gt(loopcounter,n1) )
& ! [U_189] :
( a_select2(rhoold_init,U_189) = init
| ~ leq(U_189,n4)
| ~ leq(n0,U_189)
| ~ gt(loopcounter,n1) )
& ! [U_188] :
( a_select2(muold_init,U_188) = init
| ~ leq(U_188,n4)
| ~ leq(n0,U_188)
| ~ gt(loopcounter,n1) )
& ! [U_187] :
( a_select3(center_init,U_187,n0) = init
| ~ leq(U_187,n4)
| ~ leq(n0,U_187) )
& ! [U_186] :
( a_select2(sigma_init,U_186) = init
| ~ leq(U_186,pred(pv40))
| ~ leq(n0,U_186) )
& ! [U_185] :
( a_select2(mu_init,U_185) = init
| ~ leq(U_185,pred(pv40))
| ~ leq(n0,U_185) )
& ! [U_184] :
( a_select2(rho_init,U_184) = init
| ~ leq(U_184,n4)
| ~ leq(n0,U_184) )
& ! [U_183,U_182] :
( a_select3(q_init,U_183,U_182) = init
| ~ leq(U_182,n4)
| ~ leq(n0,U_182)
| ~ leq(U_183,n135299)
| ~ leq(n0,U_183) )
& gt(loopcounter,n1)
& leq(pv44,n135299)
& leq(pv40,n4)
& leq(n0,pv44)
& leq(n0,pv40) ),
inference(definitional_conversion,[status(esa)],[f_53_4]) ).
cnf(f_53_10,negated_conjecture,
gt(loopcounter,n1),
inference(clausify,[status(thm)],[f_53_5]) ).
cnf(f_53_16,negated_conjecture,
( a_select2(muold_init,U_188) = init
| ~ leq(U_188,n4)
| ~ leq(n0,U_188)
| ~ gt(loopcounter,n1) ),
inference(clausify,[status(thm)],[f_53_5]) ).
cnf(f_53_19,negated_conjecture,
leq(n0,sK28),
inference(clausify,[status(thm)],[f_53_5]) ).
cnf(f_53_20,negated_conjecture,
leq(sK28,n4),
inference(clausify,[status(thm)],[f_53_5]) ).
cnf(f_53_21,negated_conjecture,
a_select2(muold_init,sK28) != init,
inference(clausify,[status(thm)],[f_53_5]) ).
cnf(t1,plain,
a_select2(muold_init,sK28) != init,
inference(start,[status(thm),parent(0:0)],[f_53_21]) ).
cnf(t2,plain,
( ~ leq(n0,sK28)
| ~ leq(sK28,n4)
| ~ gt(loopcounter,n1)
| a_select2(muold_init,sK28) = init ),
inference(extension,[status(thm),parent(t1:1)],[f_53_16]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
gt(loopcounter,n1),
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,
leq(sK28,n4),
inference(extension,[status(thm),parent(t2:3)],[f_53_20]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
leq(n0,sK28),
inference(extension,[status(thm),parent(t2:4)],[f_53_19]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV176+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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 03:09:24 UTC 2026
% 0.10/0.37 % CPUTime :
% 1.45/1.77 % SZS status Theorem for theBenchmark
% 1.45/1.77 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------