%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN635-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 03:16:58 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 10 unt; 3 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 27 ~; 29 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
~ p3(c23,f8(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X80,X81,X82] : p3(f4(f6(X80,f7(X81,X82))),X81),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X76,X77,X75] :
( ~ p3(X75,X77)
| ~ p3(X75,X76)
| p3(X76,X77) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X70] :
( ~ p22(X70,f16(f6(c25,f7(c23,c26))))
| p21(f12(f13(c28,c29)),f12(f13(c28,X70))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [X15,X16,X17] :
( p10(f11(X15,c27,X16),f11(X15,c27,X17))
| p22(f19(X15,X16,X17),f16(X15))
| p3(f4(X15),f8(c24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
! [X15,X16,X17] :
( ~ p21(f12(f13(X16,X17)),f12(f13(X16,f19(X15,X16,X17))))
| p10(f11(X15,c27,X16),f11(X15,c27,X17))
| p3(f4(X15),f8(c24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,plain,
~ p3(c23,f8(c24)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f48,plain,
! [X0,X1,X2] : p3(f4(f6(X0,f7(X1,X2))),X1),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f60,plain,
! [X77,X75] :
( ~ p3(X75,X77)
| ! [X76] :
( ~ p3(X75,X76)
| p3(X76,X77) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f76,plain,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f77,plain,
! [X0] :
( ~ p22(X0,f16(f6(c25,f7(c23,c26))))
| p21(f12(f13(c28,c29)),f12(f13(c28,X0))) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f91,plain,
! [X0,X1,X2] :
( p10(f11(X0,c27,X1),f11(X0,c27,X2))
| p22(f19(X0,X1,X2),f16(X0))
| p3(f4(X0),f8(c24)) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ p21(f12(f13(X1,X2)),f12(f13(X1,f19(X0,X1,X2))))
| p10(f11(X0,c27,X1),f11(X0,c27,X2))
| p3(f4(X0),f8(c24)) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f97,plain,
! [X0] :
( ~ p3(X0,f8(c24))
| ~ p3(X0,c23) ),
inference(resolution,[status(thm)],[f61,f47]) ).
fof(f98,plain,
! [X0,X1] : ~ p3(f4(f6(X0,f7(c23,X1))),f8(c24)),
inference(resolution,[status(thm)],[f97,f48]) ).
fof(f128,plain,
( p22(f19(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26))))
| p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
inference(resolution,[status(thm)],[f91,f76]) ).
fof(f129,definition,
( sQ3_spl
<=> p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ3_spl
| p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,definition,
( sQ4_spl
<=> p22(f19(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26)))) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( ~ sQ4_spl
| p22(f19(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26)))) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,plain,
( sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f128,f129,f132]) ).
fof(f136,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f130,f98]) ).
fof(f137,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f136]) ).
fof(f151,plain,
( ~ sQ4_spl
| p21(f12(f13(c28,c29)),f12(f13(c28,f19(f6(c25,f7(c23,c26)),c28,c29)))) ),
inference(resolution,[status(thm)],[f133,f77]) ).
fof(f174,plain,
( ~ sQ4_spl
| p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29))
| p3(f4(f6(c25,f7(c23,c26))),f8(c24)) ),
inference(resolution,[status(thm)],[f151,f96]) ).
fof(f176,definition,
( sQ7_spl
<=> p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( ~ sQ7_spl
| p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,plain,
( ~ sQ4_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f174,f129,f176,f132]) ).
fof(f180,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f177,f76]) ).
fof(f181,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f180]) ).
fof(f182,plain,
$false,
inference(sat_refutation,[status(thm)],[f135,f137,f179,f181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN635-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 11:08:35 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41 % Elapsed time: 0.055766 seconds
% 0.12/0.41 % CPU time: 0.189935 seconds
% 0.12/0.41 % Total memory used: 19.299 MB
% 0.12/0.41 % Net memory used: 19.027 MB
%------------------------------------------------------------------------------