%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG194+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 11:48:51 AM UTC 2026
% Result : Theorem 0.07s 0.45s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 47 ( 1 unt; 9 def)
% Number of atoms : 231 ( 161 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 291 ( 107 ~; 114 |; 61 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 10 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,conjecture,
( ( ( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ) )
| ( op(e6,e6) = e6
& op(e5,e5) = e5
& op(e4,e4) = e4
& op(e3,e3) = e3
& op(e2,e2) = e2
& op(e1,e1) = e1
& op(e0,e0) = e0 )
| ( op(e6,e6) != e6
& op(e5,e5) != e5
& op(e4,e4) != e4
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ ( ( ( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ) )
| ( op(e6,e6) = e6
& op(e5,e5) = e5
& op(e4,e4) = e4
& op(e3,e3) = e3
& op(e2,e2) = e2
& op(e1,e1) = e1
& op(e0,e0) = e0 )
| ( op(e6,e6) != e6
& op(e5,e5) != e5
& op(e4,e4) != e4
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f519,plain,
( ( ( op(e6,e6) = e6
& op(e5,e5) = e5
& op(e4,e4) = e4
& op(e3,e3) = e3
& op(e2,e2) = e2
& op(e1,e1) = e1
& op(e0,e0) = e0 )
| ( op(e6,e6) != e6
& op(e5,e5) != e5
& op(e4,e4) != e4
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ) )
& ( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f520,definition,
( sP0_prd
<=> ( op(e6,e6) != e6
& op(e5,e5) != e5
& op(e4,e4) != e4
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f521,plain,
( ( ( op(e6,e6) = e6
& op(e5,e5) = e5
& op(e4,e4) = e4
& op(e3,e3) = e3
& op(e2,e2) = e2
& op(e1,e1) = e1
& op(e0,e0) = e0 )
| sP0_prd )
& ( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 )
& ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ) ),
inference(formula_renaming,[status(thm)],[f519,f520]) ).
fof(f522,plain,
( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[status(thm)],[f521]) ).
fof(f523,plain,
( op(e6,e6) != e6
| op(e5,e5) != e5
| op(e4,e4) != e4
| op(e3,e3) != e3
| op(e2,e2) != e2
| op(e1,e1) != e1
| op(e0,e0) != e0 ),
inference(cnf_transformation,[status(thm)],[f521]) ).
fof(f524,plain,
( op(e0,e0) = e0
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f521]) ).
fof(f525,plain,
( op(e1,e1) = e1
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f521]) ).
fof(f526,plain,
( op(e2,e2) = e2
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f521]) ).
fof(f527,plain,
( op(e3,e3) = e3
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f521]) ).
fof(f528,plain,
( op(e4,e4) = e4
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f521]) ).
fof(f529,plain,
( op(e5,e5) = e5
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f521]) ).
fof(f530,plain,
( op(e6,e6) = e6
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f521]) ).
fof(f531,plain,
( ( op(e6,e6) = e6
| op(e5,e5) = e5
| op(e4,e4) = e4
| op(e3,e3) = e3
| op(e2,e2) = e2
| op(e1,e1) = e1
| op(e0,e0) = e0
| sP0_prd )
& ( ( op(e6,e6) != e6
& op(e5,e5) != e5
& op(e4,e4) != e4
& op(e3,e3) != e3
& op(e2,e2) != e2
& op(e1,e1) != e1
& op(e0,e0) != e0 )
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f520]) ).
fof(f532,plain,
( op(e0,e0) != e0
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f531]) ).
fof(f533,plain,
( op(e1,e1) != e1
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f531]) ).
fof(f534,plain,
( op(e2,e2) != e2
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f531]) ).
fof(f535,plain,
( op(e3,e3) != e3
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f531]) ).
fof(f536,plain,
( op(e4,e4) != e4
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f531]) ).
fof(f537,plain,
( op(e5,e5) != e5
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f531]) ).
fof(f538,plain,
( op(e6,e6) != e6
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f531]) ).
fof(f540,definition,
( sQ0_spl
<=> op(e0,e0) = e0 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f719,definition,
( sQ57_spl
<=> op(e1,e1) = e1 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f898,definition,
( sQ114_spl
<=> op(e2,e2) = e2 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1077,definition,
( sQ171_spl
<=> op(e3,e3) = e3 ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1256,definition,
( sQ228_spl
<=> op(e4,e4) = e4 ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1435,definition,
( sQ285_spl
<=> op(e5,e5) = e5 ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f1614,definition,
( sQ342_spl
<=> op(e6,e6) = e6 ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f1716,plain,
( sQ342_spl
| sQ285_spl
| sQ228_spl
| sQ171_spl
| sQ114_spl
| sQ57_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f522,f540,f719,f898,f1077,f1256,f1435,f1614]) ).
fof(f1717,plain,
( ~ sQ342_spl
| ~ sQ285_spl
| ~ sQ228_spl
| ~ sQ171_spl
| ~ sQ114_spl
| ~ sQ57_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f523,f540,f719,f898,f1077,f1256,f1435,f1614]) ).
fof(f1718,definition,
( sQ343_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f1721,plain,
( sQ0_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f524,f1718,f540]) ).
fof(f1722,plain,
( sQ57_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f525,f1718,f719]) ).
fof(f1723,plain,
( sQ114_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f526,f1718,f898]) ).
fof(f1724,plain,
( sQ171_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f527,f1718,f1077]) ).
fof(f1725,plain,
( sQ228_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f528,f1718,f1256]) ).
fof(f1726,plain,
( sQ285_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f529,f1718,f1435]) ).
fof(f1727,plain,
( sQ342_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f530,f1718,f1614]) ).
fof(f1728,plain,
( ~ sQ0_spl
| ~ sQ343_spl ),
inference(split_clause,[status(thm)],[f532,f1718,f540]) ).
fof(f1729,plain,
( ~ sQ57_spl
| ~ sQ343_spl ),
inference(split_clause,[status(thm)],[f533,f1718,f719]) ).
fof(f1730,plain,
( ~ sQ114_spl
| ~ sQ343_spl ),
inference(split_clause,[status(thm)],[f534,f1718,f898]) ).
fof(f1731,plain,
( ~ sQ171_spl
| ~ sQ343_spl ),
inference(split_clause,[status(thm)],[f535,f1718,f1077]) ).
fof(f1732,plain,
( ~ sQ228_spl
| ~ sQ343_spl ),
inference(split_clause,[status(thm)],[f536,f1718,f1256]) ).
fof(f1733,plain,
( ~ sQ285_spl
| ~ sQ343_spl ),
inference(split_clause,[status(thm)],[f537,f1718,f1435]) ).
fof(f1734,plain,
( ~ sQ342_spl
| ~ sQ343_spl ),
inference(split_clause,[status(thm)],[f538,f1718,f1614]) ).
fof(f1736,plain,
$false,
inference(sat_refutation,[status(thm)],[f1716,f1717,f1721,f1722,f1723,f1724,f1725,f1726,f1727,f1728,f1729,f1730,f1731,f1732,f1733,f1734]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG194+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.33 % Computer : n005.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Mon Sep 21 13:01:03 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.41 % Drodi V4.1.1
% 0.07/0.45 % Refutation found
% 0.07/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.52 % Elapsed time: 0.164235 seconds
% 0.17/0.52 % CPU time: 0.152443 seconds
% 0.17/0.52 % Total memory used: 15.804 MB
% 0.17/0.52 % Net memory used: 15.796 MB
%------------------------------------------------------------------------------