%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW196+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 03:07:25 PM UTC 2026
% Result : Theorem 0.23s 0.58s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 9 unt; 2 def)
% Number of atoms : 29 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 7 |; 0 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 6 ( 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [B_m] : v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1171,hypothesis,
( ? [B_m] : v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m)
=> v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1172,conjecture,
v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1173,negated_conjecture,
~ v_thesis____,
inference(negated_conjecture,[status(cth)],[f1172]) ).
fof(f1174,plain,
v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),sK0_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(B_m,sK0_skl)],[f1]) ).
fof(f1175,plain,
v_na____ = c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),sK0_skl),
inference(cnf_transformation,[status(thm)],[f1174]) ).
fof(f4446,plain,
( v_thesis____
| ! [B_m] : v_na____ != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),B_m) ),
inference(pre_NNF_transformation,[status(thm)],[f1171]) ).
fof(f4447,plain,
! [X0] :
( v_thesis____
| v_na____ != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0) ),
inference(cnf_transformation,[status(thm)],[f4446]) ).
fof(f4448,plain,
~ v_thesis____,
inference(cnf_transformation,[status(thm)],[f1173]) ).
fof(f4483,definition,
! [X0] :
( sQ0_spl
<=> v_na____ != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f4484,plain,
! [X0] :
( ~ sQ0_spl
| v_na____ != c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0) ),
inference(component_clause,[status(thm)],[f4483]) ).
fof(f4486,definition,
( sQ1_spl
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f4487,plain,
( ~ sQ1_spl
| v_thesis____ ),
inference(component_clause,[status(thm)],[f4486]) ).
fof(f4489,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f4447,f4483,f4486]) ).
fof(f4517,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1175,f4484]) ).
fof(f4518,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f4517]) ).
fof(f4519,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4487,f4448]) ).
fof(f4520,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f4519]) ).
fof(f4521,plain,
$false,
inference(sat_refutation,[status(thm)],[f4489,f4518,f4520]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW196+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 09:40:42 UTC 2026
% 0.14/0.38 % CPUTime :
% 0.23/0.51 % Drodi V4.1.1
% 0.23/0.58 % Refutation found
% 0.23/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.62 % Elapsed time: 0.229197 seconds
% 0.23/0.62 % CPU time: 0.538298 seconds
% 0.23/0.62 % Total memory used: 201.765 MB
% 0.23/0.62 % Net memory used: 200.247 MB
%------------------------------------------------------------------------------