%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWW345+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 05:04:13 PM UTC 2025
% Result : Theorem 1.74s 0.86s
% Output : CNFRefutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 14 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 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 : 12 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_6,plain,
v_R(v_Z,v_s_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).
fof(conj_6_negated,plain,
~ v_R(v_Z,v_s_H),
inference(negate_conjecture,[status(cth)],[conj_6]) ).
cnf(7320,plain,
~ v_R(v_Z,v_s_H),
inference(cnf,[status(esa)],[conj_6_negated]) ).
cnf(l0,plain,
~ v_R(v_Z,v_s_H),
inference(instantiation,[status(thm)],[7320]) ).
fof(conj_2,plain,
! [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('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
cnf(7316,plain,
( ~ c_Natural_Oevaln(v_d,X0,v_n,X1)
| ~ v_Q(X2,X0)
| v_R(X2,X1) ),
inference(cnf,[status(esa)],[conj_2]) ).
cnf(l1,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(instantiation,[status(thm)],[7316]) ).
fof(conj_1,plain,
! [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('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
cnf(7315,plain,
( ~ c_Natural_Oevaln(v_c,X0,v_n,X1)
| ~ v_P(X2,X0)
| v_Q(X2,X1) ),
inference(cnf,[status(esa)],[conj_1]) ).
cnf(l3,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(instantiation,[status(thm)],[7315]) ).
fof(conj_4,plain,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
cnf(7318,plain,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
inference(cnf,[status(esa)],[conj_4]) ).
cnf(l4,plain,
c_Natural_Oevaln(v_c,v_s,v_n,v_s1),
inference(instantiation,[status(thm)],[7318]) ).
fof(conj_5,plain,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
cnf(7319,plain,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
inference(cnf,[status(esa)],[conj_5]) ).
cnf(l2,plain,
c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H),
inference(instantiation,[status(thm)],[7319]) ).
fof(conj_3,plain,
v_P(v_Z,v_s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).
cnf(7317,plain,
v_P(v_Z,v_s),
inference(cnf,[status(esa)],[conj_3]) ).
cnf(l8,plain,
v_P(v_Z,v_s),
inference(instantiation,[status(thm)],[7317]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l4,l2,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW345+1 : TPTP v9.0.0. Released v5.2.0.
% 0.08/0.14 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Jul 22 13:26:19 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.49/0.68 % launching worker at depth: 1
% 0.49/0.68 % launching worker at depth: 2
% 0.49/0.68 % launching worker at depth: 3
% 0.49/0.68 % launching worker at depth: 4
% 0.49/0.68 % launching worker at depth: 7
% 0.49/0.68 % launching worker at depth: 5
% 0.49/0.68 % launching worker at depth: 6
% 0.49/0.68 % launching worker at depth: 8
% 0.49/0.68 % launching worker at depth: 9
% 0.56/0.69 % launching worker at depth: 10
% 1.74/0.86 % SZS status Theorem for theBenchmark
% 1.74/0.86 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------