%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN658-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 03:17:01 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.43s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 46 ( 12 unt; 5 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 99 ( 48 ~; 46 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
! [X36] : p4(X36,X36),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
~ p6(c28,f10(c33)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X82,X83,X84] : p6(f21(f8(X82,f9(X83,X84))),X83),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [X72,X73,X71] :
( ~ p6(X71,X73)
| ~ p6(X71,X72)
| p6(X72,X73) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X37,X38,X36] :
( ~ p4(X36,X38)
| ~ p4(X36,X37)
| p4(X37,X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
! [X20] :
( ~ p25(X20,f18(f8(c27,f9(c28,c29))))
| p24(f19(f20(c34,c31)),f19(f20(c34,X20))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
! [X25,X26,X27] :
( p4(f5(X25,c36,X26),f5(X25,c36,X27))
| p25(f22(X25,X26,X27),f18(X25))
| p6(f21(X25),f10(c33)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
! [X25,X26,X27] :
( ~ p24(f19(f20(X26,X27)),f19(f20(X26,f22(X25,X26,X27))))
| p4(f5(X25,c36,X26),f5(X25,c36,X27))
| p6(f21(X25),f10(c33)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,plain,
! [X0] : p4(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f61,plain,
~ p6(c28,f10(c33)),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f65,plain,
! [X0,X1,X2] : p6(f21(f8(X0,f9(X1,X2))),X1),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f77,plain,
! [X73,X71] :
( ~ p6(X71,X73)
| ! [X72] :
( ~ p6(X71,X72)
| p6(X72,X73) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ p6(X2,X1)
| ~ p6(X2,X0)
| p6(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f79,plain,
! [X38,X36] :
( ~ p4(X36,X38)
| ! [X37] :
( ~ p4(X36,X37)
| p4(X37,X38) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f110,plain,
~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f111,plain,
! [X0] :
( ~ p25(X0,f18(f8(c27,f9(c28,c29))))
| p24(f19(f20(c34,c31)),f19(f20(c34,X0))) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f116,plain,
! [X0,X1,X2] :
( p4(f5(X0,c36,X1),f5(X0,c36,X2))
| p25(f22(X0,X1,X2),f18(X0))
| p6(f21(X0),f10(c33)) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ~ p24(f19(f20(X1,X2)),f19(f20(X1,f22(X0,X1,X2))))
| p4(f5(X0,c36,X1),f5(X0,c36,X2))
| p6(f21(X0),f10(c33)) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f119,plain,
! [X0] :
( ~ p6(X0,f10(c33))
| ~ p6(X0,c28) ),
inference(resolution,[status(thm)],[f78,f61]) ).
fof(f120,plain,
! [X0,X1] : ~ p6(f21(f8(X0,f9(c28,X1))),f10(c33)),
inference(resolution,[status(thm)],[f119,f65]) ).
fof(f139,plain,
! [X0] :
( ~ p4(X0,f5(f8(c27,f9(c28,c29)),c36,c34))
| ~ p4(X0,f5(f8(c27,f9(c28,c29)),c36,c31)) ),
inference(resolution,[status(thm)],[f110,f80]) ).
fof(f157,definition,
( sQ3_spl
<=> p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ3_spl
| p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f164,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f158,f120]) ).
fof(f165,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f164]) ).
fof(f172,plain,
! [X0] :
( ~ p24(f19(f20(X0,c31)),f19(f20(X0,f22(f8(c27,f9(c28,c29)),X0,c31))))
| p6(f21(f8(c27,f9(c28,c29))),f10(c33))
| ~ p4(f5(f8(c27,f9(c28,c29)),c36,X0),f5(f8(c27,f9(c28,c29)),c36,c34)) ),
inference(resolution,[status(thm)],[f139,f117]) ).
fof(f176,definition,
! [X0] :
( sQ5_spl
<=> ( ~ p24(f19(f20(X0,c31)),f19(f20(X0,f22(f8(c27,f9(c28,c29)),X0,c31))))
| ~ p4(f5(f8(c27,f9(c28,c29)),c36,X0),f5(f8(c27,f9(c28,c29)),c36,c34)) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f177,plain,
! [X0] :
( ~ sQ5_spl
| ~ p24(f19(f20(X0,c31)),f19(f20(X0,f22(f8(c27,f9(c28,c29)),X0,c31))))
| ~ p4(f5(f8(c27,f9(c28,c29)),c36,X0),f5(f8(c27,f9(c28,c29)),c36,c34)) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,plain,
( sQ3_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f172,f176,f157]) ).
fof(f200,plain,
( ~ sQ5_spl
| ~ p25(f22(f8(c27,f9(c28,c29)),c34,c31),f18(f8(c27,f9(c28,c29))))
| ~ p4(f5(f8(c27,f9(c28,c29)),c36,c34),f5(f8(c27,f9(c28,c29)),c36,c34)) ),
inference(resolution,[status(thm)],[f177,f111]) ).
fof(f202,definition,
( sQ7_spl
<=> p4(f5(f8(c27,f9(c28,c29)),c36,c34),f5(f8(c27,f9(c28,c29)),c36,c34)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( sQ7_spl
| ~ p4(f5(f8(c27,f9(c28,c29)),c36,c34),f5(f8(c27,f9(c28,c29)),c36,c34)) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,definition,
( sQ8_spl
<=> p25(f22(f8(c27,f9(c28,c29)),c34,c31),f18(f8(c27,f9(c28,c29)))) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( sQ8_spl
| ~ p25(f22(f8(c27,f9(c28,c29)),c34,c31),f18(f8(c27,f9(c28,c29)))) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,plain,
( ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f200,f202,f205,f176]) ).
fof(f209,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f204,f54]) ).
fof(f210,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f209]) ).
fof(f263,plain,
( sQ8_spl
| p4(f5(f8(c27,f9(c28,c29)),c36,c34),f5(f8(c27,f9(c28,c29)),c36,c31))
| p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
inference(resolution,[status(thm)],[f207,f116]) ).
fof(f265,definition,
( sQ12_spl
<=> p4(f5(f8(c27,f9(c28,c29)),c36,c34),f5(f8(c27,f9(c28,c29)),c36,c31)) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ12_spl
| p4(f5(f8(c27,f9(c28,c29)),c36,c34),f5(f8(c27,f9(c28,c29)),c36,c31)) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,plain,
( sQ8_spl
| sQ12_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f263,f157,f265,f205]) ).
fof(f407,plain,
( ~ sQ12_spl
| ~ p4(f5(f8(c27,f9(c28,c29)),c36,c34),f5(f8(c27,f9(c28,c29)),c36,c34)) ),
inference(resolution,[status(thm)],[f266,f139]) ).
fof(f408,plain,
( ~ sQ12_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f407,f202,f265]) ).
fof(f409,plain,
$false,
inference(sat_refutation,[status(thm)],[f165,f179,f208,f210,f268,f408]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN658-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n018.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 11:13:13 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.43 % Refutation found
% 0.12/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.45 % Elapsed time: 0.091270 seconds
% 0.12/0.45 % CPU time: 0.460519 seconds
% 0.12/0.45 % Total memory used: 24.024 MB
% 0.12/0.45 % Net memory used: 23.041 MB
%------------------------------------------------------------------------------