%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWB006+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 : Sun Sep 27 08:51:27 AM UTC 2026
% Result : Theorem 0.09s 0.59s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 21 ( 15 unt; 0 def)
% Number of atoms : 30 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 7 ~; 2 |; 6 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_eqdis_sameas,axiom,
! [X,Y] :
( iext(uri_owl_sameAs,X,Y)
<=> X = Y ),
file('theBenchmark.p',owl_eqdis_sameas) ).
fof(testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes,axiom,
? [BNODE_x] :
( iext(uri_owl_sameAs,BNODE_x,uri_ex_w)
& iext(uri_owl_sameAs,BNODE_x,literal_plain(dat_str_abc))
& iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)) ),
file('theBenchmark.p',testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes) ).
fof(testcase_conclusion_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes,conjecture,
iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
file('theBenchmark.p',testcase_conclusion_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes) ).
fof(testcase_conclusion_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes_neg,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes]) ).
cnf(c_4,plain,
( B = A
| ~ iext(uri_owl_sameAs,A,B) ),
inference(clausify,[status(thm)],[owl_eqdis_sameas]) ).
cnf(c_5,plain,
( B != A
| iext(uri_owl_sameAs,A,B) ),
inference(clausify,[status(thm)],[owl_eqdis_sameas]) ).
fof(nnf_2,plain,
? [BNODE_x] :
( iext(uri_owl_sameAs,BNODE_x,uri_ex_w)
& iext(uri_owl_sameAs,BNODE_x,literal_plain(dat_str_abc))
& iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)) ),
inference(fof_nnf,[status(thm)],[testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes]) ).
fof(sk_testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes,plain,
( iext(uri_owl_sameAs,sK0,uri_ex_w)
& iext(uri_owl_sameAs,sK0,literal_plain(dat_str_abc))
& iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(BNODE_x,sK0)],[nnf_2]) ).
cnf(c_6,plain,
iext(uri_owl_sameAs,uri_ex_u,literal_plain(dat_str_abc)),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes]) ).
cnf(c_7,plain,
iext(uri_owl_sameAs,sK0,literal_plain(dat_str_abc)),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes]) ).
cnf(c_8,plain,
iext(uri_owl_sameAs,sK0,uri_ex_w),
inference(split_conjunct,[status(thm)],[sk_testcase_premise_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes]) ).
cnf(c_9,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_u,uri_ex_w),
inference(clausify,[status(thm)],[testcase_conclusion_fullish_006_Literal_Values_represented_by_URIs_and_Blank_Nodes_neg]) ).
cnf(c_11,plain,
literal_plain(dat_str_abc) = uri_ex_u,
inference(resolve,[status(thm)],[c_4,c_6]) ).
cnf(c_12,plain,
iext(uri_owl_sameAs,sK0,uri_ex_u),
inference(paramod,[status(thm)],[c_11,c_7]) ).
cnf(c_18,plain,
uri_ex_w = sK0,
inference(resolve,[status(thm)],[c_4,c_8]) ).
cnf(c_13,plain,
sK0 = uri_ex_w,
inference(copy,[status(thm)],[c_18]) ).
cnf(c_14,plain,
iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(paramod,[status(thm)],[c_13,c_12]) ).
cnf(c_15,negated_conjecture,
uri_ex_w != uri_ex_u,
inference(resolve,[status(thm)],[c_5,c_9]) ).
cnf(c_19,plain,
uri_ex_u != uri_ex_w,
inference(copy,[status(thm)],[c_15]) ).
cnf(c_16,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(resolve,[status(thm)],[c_4,c_19]) ).
cnf(c_17,plain,
$false,
inference(resolve,[status(thm)],[c_16,c_14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB006+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n008.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Sat Sep 26 11:40:59 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.09/0.58 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.58 % Process 3556611 was started by sandbox on n008,
% 0.09/0.58 % Sat Sep 26 11:40:59 2026
% 0.09/0.58 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.58
% 0.09/0.58 % From the command line: assign(max_seconds, 300).
% 0.09/0.59
% 0.09/0.59 % SZS status Theorem for theBenchmark
% 0.09/0.59
% 0.09/0.59 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/0.59 % Length of proof is 16.
% 0.09/0.59 % Level of proof is 5.
% 0.09/0.59 % Maximum clause weight is 7.000.
% 0.09/0.59 % Given clauses 7.
% 0.09/0.59
% 0.09/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------