%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWB002+2 : TPTP v9.3.1. Released v5.2.0.
% 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 : n012.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 09:00:52 AM UTC 2026
% Result : Theorem 0.03s 0.32s
% Output : Proof 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 5 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 15 ( 0 sgn 6 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_002_Existential_Blank_Nodes,conjecture,
? [BNODE_x,BNODE_y] :
( iext(uri_ex_q,BNODE_y,BNODE_x)
& iext(uri_ex_p,BNODE_x,BNODE_y) ),
file('theBenchmark.p',testcase_conclusion_fullish_002_Existential_Blank_Nodes) ).
fof(testcase_premise_fullish_002_Existential_Blank_Nodes,axiom,
? [BNODE_o] :
( iext(uri_ex_q,BNODE_o,uri_ex_s)
& iext(uri_ex_p,uri_ex_s,BNODE_o) ),
file('theBenchmark.p',testcase_premise_fullish_002_Existential_Blank_Nodes) ).
fof(f_1_1,negated_conjecture,
~ ? [BNODE_x,BNODE_y] :
( iext(uri_ex_q,BNODE_y,BNODE_x)
& iext(uri_ex_p,BNODE_x,BNODE_y) ),
inference(negate,[status(cth)],[testcase_conclusion_fullish_002_Existential_Blank_Nodes]) ).
fof(f_1_2,negated_conjecture,
! [BNODE_x,BNODE_y] :
( ~ iext(uri_ex_q,BNODE_y,BNODE_x)
| ~ iext(uri_ex_p,BNODE_x,BNODE_y) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
! [U_1,U_0] :
( ~ iext(uri_ex_q,U_0,U_1)
| ~ iext(uri_ex_p,U_1,U_0) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
! [U_1,U_0] :
( ~ iext(uri_ex_q,U_0,U_1)
| ~ iext(uri_ex_p,U_1,U_0) ),
inference(definitional_conversion,[status(esa)],[f_1_3]) ).
cnf(f_1_5,negated_conjecture,
( ~ iext(uri_ex_q,U_0,U_1)
| ~ iext(uri_ex_p,U_1,U_0) ),
inference(clausify,[status(thm)],[f_1_4]) ).
fof(f_2_1,plain,
? [BNODE_o] :
( iext(uri_ex_q,BNODE_o,uri_ex_s)
& iext(uri_ex_p,uri_ex_s,BNODE_o) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_002_Existential_Blank_Nodes]) ).
fof(f_2_2,plain,
? [U_2] :
( iext(uri_ex_q,U_2,uri_ex_s)
& iext(uri_ex_p,uri_ex_s,U_2) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
( iext(uri_ex_q,sK1,uri_ex_s)
& iext(uri_ex_p,uri_ex_s,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_2,sK1)],[f_2_2]) ).
cnf(f_2_4,plain,
iext(uri_ex_p,uri_ex_s,sK1),
inference(clausify,[status(thm)],[f_2_3]) ).
cnf(f_2_5,plain,
iext(uri_ex_q,sK1,uri_ex_s),
inference(clausify,[status(thm)],[f_2_3]) ).
cnf(t1,plain,
( ~ iext(uri_ex_q,sK1,uri_ex_s)
| ~ iext(uri_ex_p,uri_ex_s,sK1) ),
inference(start,[status(thm),parent(0:0)],[f_1_5]) ).
cnf(t2,plain,
iext(uri_ex_p,uri_ex_s,sK1),
inference(extension,[status(thm),parent(t1:1)],[f_2_4]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
iext(uri_ex_q,sK1,uri_ex_s),
inference(extension,[status(thm),parent(t1:2)],[f_2_5]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t1:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWB002+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.02 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.02 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 20 01:02:53 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.32 % SZS status Theorem for theBenchmark
% 0.03/0.32 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------