%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN657-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 0.08s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 10 unt; 4 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 67 ( 32 ~; 31 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,negated_conjecture,
~ p6(c28,f10(c33)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X82,X83,X84] : p6(f21(f8(X82,f9(X83,X84))),X83),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [X72,X73,X71] :
( ~ p6(X71,X73)
| ~ p6(X71,X72)
| p6(X72,X73) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
! [X20] :
( ~ p25(X20,f18(f8(c27,f9(c28,c29))))
| p24(f19(f20(c31,c34)),f19(f20(c31,X20))) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
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(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(c31,c34)),f19(f20(c31,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(f182,definition,
! [X0,X1] :
( sQ3_spl
<=> ~ p6(X0,X1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f183,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ p6(X0,X1) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f189,plain,
( p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29))))
| p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
inference(resolution,[status(thm)],[f116,f110]) ).
fof(f190,definition,
( sQ5_spl
<=> p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( ~ sQ5_spl
| p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,definition,
( sQ6_spl
<=> p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29)))) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( ~ sQ6_spl
| p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29)))) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,plain,
( sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f189,f190,f193]) ).
fof(f197,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f191,f120]) ).
fof(f198,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f197]) ).
fof(f199,plain,
( ~ p24(f19(f20(c31,c34)),f19(f20(c31,f22(f8(c27,f9(c28,c29)),c31,c34))))
| p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
inference(resolution,[status(thm)],[f117,f110]) ).
fof(f200,definition,
( sQ7_spl
<=> p24(f19(f20(c31,c34)),f19(f20(c31,f22(f8(c27,f9(c28,c29)),c31,c34)))) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( sQ7_spl
| ~ p24(f19(f20(c31,c34)),f19(f20(c31,f22(f8(c27,f9(c28,c29)),c31,c34)))) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( ~ sQ7_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f199,f190,f200]) ).
fof(f206,plain,
( ~ sQ3_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f65,f183]) ).
fof(f209,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f206]) ).
fof(f287,plain,
( sQ7_spl
| ~ p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29)))) ),
inference(resolution,[status(thm)],[f202,f111]) ).
fof(f289,plain,
( sQ7_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f287,f194]) ).
fof(f290,plain,
( sQ7_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f289]) ).
fof(f291,plain,
$false,
inference(sat_refutation,[status(thm)],[f196,f198,f203,f209,f290]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN657-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 11:10:57 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.40 % Refutation found
% 0.08/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.45 % Elapsed time: 0.071892 seconds
% 0.14/0.45 % CPU time: 0.215830 seconds
% 0.14/0.45 % Total memory used: 18.892 MB
% 0.14/0.45 % Net memory used: 18.757 MB
%------------------------------------------------------------------------------