%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV169+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 : n011.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 09:02:51 AM UTC 2026
% Result : Theorem 3.47s 3.77s
% Output : Proof 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 155 ( 34 equ)
% Maximal formula atoms : 28 ( 9 avg)
% Number of connectives : 200 ( 61 ~; 55 |; 69 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-3 aty)
% Number of variables : 36 ( 0 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0021,conjecture,
( ( ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select3(center_init,G,n0) = init )
& ! [E] :
( ( leq(E,pred(pv10))
& leq(n0,E) )
=> ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select3(q_init,E,F) = init ) )
& ! [C,D] :
( ( leq(D,n4)
& leq(C,n135299)
& leq(n0,D)
& leq(n0,C) )
=> ( gt(pv10,C)
=> a_select3(q_init,C,D) = init ) )
& ! [A,B] :
( ( leq(B,n4)
& leq(A,n135299)
& leq(n0,B)
& leq(n0,A) )
=> ( ( gt(pv11,B)
& A = pv10 )
=> a_select3(q_init,A,B) = init ) )
& leq(pv65,n4)
& leq(pv11,n4)
& leq(pv10,n135299)
& leq(n0,pv65)
& leq(n0,pv11)
& leq(n0,pv10) )
=> a_select3(center_init,pv65,n0) = init ),
file('theBenchmark.p',cl5_nebula_init_0021) ).
fof(f_53_1,negated_conjecture,
( a_select3(center_init,pv65,n0) != init
& ! [G] :
( ( leq(G,n4)
& leq(n0,G) )
=> a_select3(center_init,G,n0) = init )
& ! [E] :
( ( leq(E,pred(pv10))
& leq(n0,E) )
=> ! [F] :
( ( leq(F,n4)
& leq(n0,F) )
=> a_select3(q_init,E,F) = init ) )
& ! [C,D] :
( ( leq(D,n4)
& leq(C,n135299)
& leq(n0,D)
& leq(n0,C) )
=> ( gt(pv10,C)
=> a_select3(q_init,C,D) = init ) )
& ! [A,B] :
( ( leq(B,n4)
& leq(A,n135299)
& leq(n0,B)
& leq(n0,A) )
=> ( ( gt(pv11,B)
& A = pv10 )
=> a_select3(q_init,A,B) = init ) )
& leq(pv65,n4)
& leq(pv11,n4)
& leq(pv10,n135299)
& leq(n0,pv65)
& leq(n0,pv11)
& leq(n0,pv10) ),
inference(negate,[status(cth)],[cl5_nebula_init_0021]) ).
fof(f_53_2,negated_conjecture,
( a_select3(center_init,pv65,n0) != init
& ! [G] :
( a_select3(center_init,G,n0) = init
| ~ leq(G,n4)
| ~ leq(n0,G) )
& ! [E] :
( ! [F] :
( a_select3(q_init,E,F) = init
| ~ leq(F,n4)
| ~ leq(n0,F) )
| ~ leq(E,pred(pv10))
| ~ leq(n0,E) )
& ! [C,D] :
( a_select3(q_init,C,D) = init
| ~ gt(pv10,C)
| ~ leq(D,n4)
| ~ leq(C,n135299)
| ~ leq(n0,D)
| ~ leq(n0,C) )
& ! [A,B] :
( a_select3(q_init,A,B) = init
| ~ gt(pv11,B)
| A != pv10
| ~ leq(B,n4)
| ~ leq(A,n135299)
| ~ leq(n0,B)
| ~ leq(n0,A) )
& leq(pv65,n4)
& leq(pv11,n4)
& leq(pv10,n135299)
& leq(n0,pv65)
& leq(n0,pv11)
& leq(n0,pv10) ),
inference(fof_nnf,[status(thm)],[f_53_1]) ).
fof(f_53_3,negated_conjecture,
( a_select3(center_init,pv65,n0) != init
& ! [U_188] :
( a_select3(center_init,U_188,n0) = init
| ~ leq(U_188,n4)
| ~ leq(n0,U_188) )
& ! [U_187] :
( ! [U_186] :
( a_select3(q_init,U_187,U_186) = init
| ~ leq(U_186,n4)
| ~ leq(n0,U_186) )
| ~ leq(U_187,pred(pv10))
| ~ leq(n0,U_187) )
& ! [U_185,U_184] :
( a_select3(q_init,U_185,U_184) = init
| ~ gt(pv10,U_185)
| ~ leq(U_184,n4)
| ~ leq(U_185,n135299)
| ~ leq(n0,U_184)
| ~ leq(n0,U_185) )
& ! [U_183,U_182] :
( a_select3(q_init,U_183,U_182) = init
| ~ gt(pv11,U_182)
| U_183 != pv10
| ~ leq(U_182,n4)
| ~ leq(U_183,n135299)
| ~ leq(n0,U_182)
| ~ leq(n0,U_183) )
& leq(pv65,n4)
& leq(pv11,n4)
& leq(pv10,n135299)
& leq(n0,pv65)
& leq(n0,pv11)
& leq(n0,pv10) ),
inference(variable_rename,[status(thm)],[f_53_2]) ).
fof(f_53_4,negated_conjecture,
( a_select3(center_init,pv65,n0) != init
& ! [U_188] :
( a_select3(center_init,U_188,n0) = init
| ~ leq(U_188,n4)
| ~ leq(n0,U_188) )
& ! [U_186,U_187] :
( a_select3(q_init,U_187,U_186) = init
| ~ leq(U_186,n4)
| ~ leq(n0,U_186)
| ~ leq(U_187,pred(pv10))
| ~ leq(n0,U_187) )
& ! [U_185,U_184] :
( a_select3(q_init,U_185,U_184) = init
| ~ gt(pv10,U_185)
| ~ leq(U_184,n4)
| ~ leq(U_185,n135299)
| ~ leq(n0,U_184)
| ~ leq(n0,U_185) )
& ! [U_183,U_182] :
( a_select3(q_init,U_183,U_182) = init
| ~ gt(pv11,U_182)
| U_183 != pv10
| ~ leq(U_182,n4)
| ~ leq(U_183,n135299)
| ~ leq(n0,U_182)
| ~ leq(n0,U_183) )
& leq(pv65,n4)
& leq(pv11,n4)
& leq(pv10,n135299)
& leq(n0,pv65)
& leq(n0,pv11)
& leq(n0,pv10) ),
inference(definitional_conversion,[status(esa)],[f_53_3]) ).
cnf(f_53_7,negated_conjecture,
leq(n0,pv65),
inference(clausify,[status(thm)],[f_53_4]) ).
cnf(f_53_10,negated_conjecture,
leq(pv65,n4),
inference(clausify,[status(thm)],[f_53_4]) ).
cnf(f_53_14,negated_conjecture,
( a_select3(center_init,U_188,n0) = init
| ~ leq(U_188,n4)
| ~ leq(n0,U_188) ),
inference(clausify,[status(thm)],[f_53_4]) ).
cnf(f_53_15,negated_conjecture,
a_select3(center_init,pv65,n0) != init,
inference(clausify,[status(thm)],[f_53_4]) ).
cnf(t1,plain,
a_select3(center_init,pv65,n0) != init,
inference(start,[status(thm),parent(0:0)],[f_53_15]) ).
cnf(t2,plain,
( ~ leq(pv65,n4)
| ~ leq(n0,pv65)
| a_select3(center_init,pv65,n0) = init ),
inference(extension,[status(thm),parent(t1:1)],[f_53_14]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
leq(n0,pv65),
inference(extension,[status(thm),parent(t2:2)],[f_53_7]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
leq(pv65,n4),
inference(extension,[status(thm),parent(t2:3)],[f_53_10]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV169+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
% 0.11/0.36 % Computer : n011.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 03:06:39 UTC 2026
% 0.11/0.36 % CPUTime :
% 3.47/3.77 % SZS status Theorem for theBenchmark
% 3.47/3.77 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------