%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWW345+1 : TPTP v9.3.1. Released v5.2.0.
% 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 : n003.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 09:07:31 AM UTC 2026
% Result : Theorem 32.26s 32.50s
% Output : Proof 32.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 25 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 24 ~; 20 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 30 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,hypothesis,
! [B_Z,B_s] :
( v_P(B_Z,B_s)
=> ! [B_s_H] :
( c_Natural_Oevaln(v_c,B_s,v_n,B_s_H)
=> v_Q(B_Z,B_s_H) ) ),
file('theBenchmark.p',conj_1) ).
fof(conj_2,hypothesis,
! [B_Z,B_s] :
( v_Q(B_Z,B_s)
=> ! [B_s_H] :
( c_Natural_Oevaln(v_d,B_s,v_n,B_s_H)
=> v_R(B_Z,B_s_H) ) ),
file('theBenchmark.p',conj_2) ).
fof(conj_3,hypothesis,
v_P(v_Z,v_s),
file('theBenchmark.p',conj_3) ).
fof(conj_4,hypothesis,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
file('theBenchmark.p',conj_4) ).
fof(conj_5,hypothesis,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
file('theBenchmark.p',conj_5) ).
fof(conj_6,conjecture,
v_R(v_Z,v_s_H),
file('theBenchmark.p',conj_6) ).
fof(f_5206_1,plain,
! [B_Z,B_s] :
( ! [B_s_H] :
( v_Q(B_Z,B_s_H)
| ~ c_Natural_Oevaln(v_c,B_s,v_n,B_s_H) )
| ~ v_P(B_Z,B_s) ),
inference(fof_nnf,[status(thm)],[conj_1]) ).
fof(f_5206_2,plain,
! [U_20936,U_20935] :
( ! [U_20934] :
( v_Q(U_20936,U_20934)
| ~ c_Natural_Oevaln(v_c,U_20935,v_n,U_20934) )
| ~ v_P(U_20936,U_20935) ),
inference(variable_rename,[status(thm)],[f_5206_1]) ).
fof(f_5206_3,plain,
! [U_20934,U_20935,U_20936] :
( v_Q(U_20936,U_20934)
| ~ c_Natural_Oevaln(v_c,U_20935,v_n,U_20934)
| ~ v_P(U_20936,U_20935) ),
inference(definitional_conversion,[status(esa)],[f_5206_2]) ).
cnf(f_5206_4,plain,
( v_Q(U_20936,U_20934)
| ~ c_Natural_Oevaln(v_c,U_20935,v_n,U_20934)
| ~ v_P(U_20936,U_20935) ),
inference(clausify,[status(thm)],[f_5206_3]) ).
fof(f_5207_1,plain,
! [B_Z,B_s] :
( ! [B_s_H] :
( v_R(B_Z,B_s_H)
| ~ c_Natural_Oevaln(v_d,B_s,v_n,B_s_H) )
| ~ v_Q(B_Z,B_s) ),
inference(fof_nnf,[status(thm)],[conj_2]) ).
fof(f_5207_2,plain,
! [U_20939,U_20938] :
( ! [U_20937] :
( v_R(U_20939,U_20937)
| ~ c_Natural_Oevaln(v_d,U_20938,v_n,U_20937) )
| ~ v_Q(U_20939,U_20938) ),
inference(variable_rename,[status(thm)],[f_5207_1]) ).
fof(f_5207_3,plain,
! [U_20939,U_20938,U_20937] :
( v_R(U_20939,U_20937)
| ~ c_Natural_Oevaln(v_d,U_20938,v_n,U_20937)
| ~ v_Q(U_20939,U_20938) ),
inference(definitional_conversion,[status(esa)],[f_5207_2]) ).
cnf(f_5207_4,plain,
( v_R(U_20939,U_20937)
| ~ c_Natural_Oevaln(v_d,U_20938,v_n,U_20937)
| ~ v_Q(U_20939,U_20938) ),
inference(clausify,[status(thm)],[f_5207_3]) ).
fof(f_5208_1,plain,
v_P(v_Z,v_s),
inference(fof_nnf,[status(thm)],[conj_3]) ).
fof(f_5208_2,plain,
v_P(v_Z,v_s),
inference(definitional_conversion,[status(esa)],[f_5208_1]) ).
cnf(f_5208_3,plain,
v_P(v_Z,v_s),
inference(clausify,[status(thm)],[f_5208_2]) ).
fof(f_5209_1,plain,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
inference(fof_nnf,[status(thm)],[conj_4]) ).
fof(f_5209_2,plain,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
inference(definitional_conversion,[status(esa)],[f_5209_1]) ).
cnf(f_5209_3,plain,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
inference(clausify,[status(thm)],[f_5209_2]) ).
fof(f_5210_1,plain,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
inference(fof_nnf,[status(thm)],[conj_5]) ).
fof(f_5210_2,plain,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
inference(definitional_conversion,[status(esa)],[f_5210_1]) ).
cnf(f_5210_3,plain,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
inference(clausify,[status(thm)],[f_5210_2]) ).
fof(f_5211_1,negated_conjecture,
~ v_R(v_Z,v_s_H),
inference(negate,[status(cth)],[conj_6]) ).
fof(f_5211_2,negated_conjecture,
~ v_R(v_Z,v_s_H),
inference(definitional_conversion,[status(esa)],[f_5211_1]) ).
cnf(f_5211_3,negated_conjecture,
~ v_R(v_Z,v_s_H),
inference(clausify,[status(thm)],[f_5211_2]) ).
cnf(t1,plain,
~ v_R(v_Z,v_s_H),
inference(start,[status(thm),parent(0:0)],[f_5211_3]) ).
cnf(t2,plain,
( ~ c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H)
| ~ v_Q(v_Z,v_s1)
| v_R(v_Z,v_s_H) ),
inference(extension,[status(thm),parent(t1:1)],[f_5207_4]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ c_Natural_Oevaln(v_c,v_s,v_n,v_s1)
| ~ v_P(v_Z,v_s)
| v_Q(v_Z,v_s1) ),
inference(extension,[status(thm),parent(t2:2)],[f_5206_4]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
v_P(v_Z,v_s),
inference(extension,[status(thm),parent(t4:2)],[f_5208_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
inference(extension,[status(thm),parent(t4:3)],[f_5209_3]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t4:3]) ).
cnf(t10,plain,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
inference(extension,[status(thm),parent(t2:3)],[f_5210_3]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW345+1 : TPTP v9.3.1. Released v5.2.0.
% 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 : n003.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 05:23:45 UTC 2026
% 0.10/0.37 % CPUTime :
% 32.26/32.50 % SZS status Theorem for theBenchmark
% 32.26/32.50 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------