%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN638-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 03:16:59 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 12 unt; 4 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 37 ~; 34 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
! [X36] : p4(X36,X36),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X39,X40] :
( ~ p4(X39,X40)
| p4(f16(X39),f16(X40)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X20,X21,X22,X23] :
( ~ p22(X22,X23)
| ~ p4(X23,X21)
| ~ p4(X22,X20)
| p22(X20,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [X41,X42,X43,X44] :
( ~ p4(X42,X44)
| ~ p4(X41,X43)
| p4(f17(X41,X42),f17(X43,X44)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
! [X51] : p4(f5(f8(f11(c25),f9(f10(c25),c28)),X51,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X51,c29)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,plain,
! [X0] : p4(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f53,plain,
! [X0,X1] :
( ~ p4(X0,X1)
| p4(f16(X0),f16(X1)) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f78,plain,
! [X22,X23] :
( ~ p22(X22,X23)
| ! [X21] :
( ~ p4(X23,X21)
| ! [X20] :
( ~ p4(X22,X20)
| p22(X20,X21) ) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( ~ p22(X2,X3)
| ~ p4(X3,X1)
| ~ p4(X2,X0)
| p22(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f86,plain,
! [X42,X44] :
( ~ p4(X42,X44)
| ! [X41,X43] :
( ~ p4(X41,X43)
| p4(f17(X41,X42),f17(X43,X44)) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( ~ p4(X1,X3)
| ~ p4(X0,X2)
| p4(f17(X0,X1),f17(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f95,plain,
! [X0] : p4(f5(f8(f11(c25),f9(f10(c25),c28)),X0,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X0,c29)),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f96,plain,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f97,plain,
~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f116,definition,
( sQ1_spl
<=> p4(c27,c27) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( sQ1_spl
| ~ p4(c27,c27) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f125,plain,
! [X0,X1] :
( ~ p22(X0,X1)
| ~ p4(X1,f16(f17(c27,f5(c25,c26,c27))))
| ~ p4(X0,f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29)))) ),
inference(resolution,[status(thm)],[f97,f79]) ).
fof(f134,plain,
! [X0,X1] :
( ~ p4(X1,f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29)))
| ~ p22(f16(X1),X0)
| ~ p4(X0,f16(f17(c27,f5(c25,c26,c27)))) ),
inference(resolution,[status(thm)],[f125,f53]) ).
fof(f151,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f118,f45]) ).
fof(f152,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f151]) ).
fof(f159,plain,
( ~ p4(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27)),f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29)))
| ~ p4(f16(f17(c27,f5(c25,c26,c27))),f16(f17(c27,f5(c25,c26,c27)))) ),
inference(resolution,[status(thm)],[f134,f96]) ).
fof(f161,definition,
( sQ4_spl
<=> p4(f16(f17(c27,f5(c25,c26,c27))),f16(f17(c27,f5(c25,c26,c27)))) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( sQ4_spl
| ~ p4(f16(f17(c27,f5(c25,c26,c27))),f16(f17(c27,f5(c25,c26,c27)))) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,definition,
( sQ5_spl
<=> p4(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27)),f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( sQ5_spl
| ~ p4(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27)),f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f159,f161,f164]) ).
fof(f168,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f163,f45]) ).
fof(f169,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f168]) ).
fof(f200,plain,
( sQ5_spl
| ~ p4(f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27),f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))
| ~ p4(c27,c27) ),
inference(resolution,[status(thm)],[f166,f87]) ).
fof(f202,definition,
( sQ6_spl
<=> p4(f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27),f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( sQ6_spl
| ~ p4(f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27),f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29)) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( sQ5_spl
| ~ sQ6_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f200,f116,f202,f164]) ).
fof(f206,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f204,f95]) ).
fof(f207,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f206]) ).
fof(f208,plain,
$false,
inference(sat_refutation,[status(thm)],[f152,f167,f169,f205,f207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN638-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 11:09:05 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.45 % Elapsed time: 0.087018 seconds
% 0.13/0.45 % CPU time: 0.268187 seconds
% 0.13/0.45 % Total memory used: 59.233 MB
% 0.13/0.45 % Net memory used: 58.737 MB
%------------------------------------------------------------------------------