%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV011+1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n004.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 09:02:27 AM UTC 2026
% Result : Theorem 0.11s 0.40s
% Output : Proof 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 10 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 11 ~; 5 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 3 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,axiom,
b_holds(key(generate_key(an_a_nonce),a)),
file('theBenchmark.p',ax1) ).
fof(ax3,axiom,
a_holds(key(generate_key(an_a_nonce),b)),
file('theBenchmark.p',ax3) ).
fof(co1,conjecture,
? [U] :
( b_holds(key(U,a))
& a_holds(key(U,b)) ),
file('theBenchmark.p',co1) ).
fof(f_11_1,plain,
b_holds(key(generate_key(an_a_nonce),a)),
inference(fof_nnf,[status(thm)],[ax1]) ).
cnf(f_11_2,plain,
b_holds(key(generate_key(an_a_nonce),a)),
inference(clausify,[status(thm)],[f_11_1]) ).
fof(f_13_1,plain,
a_holds(key(generate_key(an_a_nonce),b)),
inference(fof_nnf,[status(thm)],[ax3]) ).
cnf(f_13_2,plain,
a_holds(key(generate_key(an_a_nonce),b)),
inference(clausify,[status(thm)],[f_13_1]) ).
fof(f_17_1,negated_conjecture,
~ ? [U] :
( b_holds(key(U,a))
& a_holds(key(U,b)) ),
inference(negate,[status(cth)],[co1]) ).
fof(f_17_2,negated_conjecture,
! [U] :
( ~ b_holds(key(U,a))
| ~ a_holds(key(U,b)) ),
inference(fof_nnf,[status(thm)],[f_17_1]) ).
fof(f_17_3,negated_conjecture,
! [U_0] :
( ~ b_holds(key(U_0,a))
| ~ a_holds(key(U_0,b)) ),
inference(variable_rename,[status(thm)],[f_17_2]) ).
fof(f_17_4,negated_conjecture,
! [U_0] :
( ~ b_holds(key(U_0,a))
| ~ a_holds(key(U_0,b)) ),
inference(definitional_conversion,[status(esa)],[f_17_3]) ).
cnf(f_17_5,negated_conjecture,
( ~ b_holds(key(U_0,a))
| ~ a_holds(key(U_0,b)) ),
inference(clausify,[status(thm)],[f_17_4]) ).
cnf(t1,plain,
( ~ b_holds(key(generate_key(an_a_nonce),a))
| ~ a_holds(key(generate_key(an_a_nonce),b)) ),
inference(start,[status(thm),parent(0:0)],[f_17_5]) ).
cnf(t2,plain,
a_holds(key(generate_key(an_a_nonce),b)),
inference(extension,[status(thm),parent(t1:1)],[f_13_2]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
b_holds(key(generate_key(an_a_nonce),a)),
inference(extension,[status(thm),parent(t1:2)],[f_11_2]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV011+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ 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
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 02:58:49 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.40 % SZS status Theorem for theBenchmark
% 0.11/0.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------