%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV025-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 12:46:00 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 36 ( 6 unt; 3 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 104 ( 39 ~; 62 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30,axiom,
! [X_t_37] :
( ~ p_Rd_error(plus(X_t_37,n1))
| ~ p_Reset(X_t_37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,axiom,
! [X_t_42] :
( p_Rd_error(X_t_42)
| ~ p_Rd_error(plus(X_t_42,n1))
| p_Rd(X_t_42)
| ~ p_Wr(X_t_42)
| p_Reset(X_t_42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [X_t_42] :
( ~ p_Rd_error(X_t_42)
| p_Rd_error(plus(X_t_42,n1))
| p_Rd(X_t_42)
| ~ p_Wr(X_t_42)
| p_Reset(X_t_42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,axiom,
! [X_t_42] :
( p_Rd_error(X_t_42)
| ~ p_Rd_error(plus(X_t_42,n1))
| p_Rd(X_t_42)
| p_Wr(X_t_42)
| p_Reset(X_t_42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,axiom,
! [X_t_42] :
( ~ p_Rd_error(X_t_42)
| p_Rd_error(plus(X_t_42,n1))
| p_Rd(X_t_42)
| p_Wr(X_t_42)
| p_Reset(X_t_42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
~ p_Rd(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
( ~ p_Rd_error(plus(t_139,n1))
| ~ p_Rd_error(t_139) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
( p_Rd_error(plus(t_139,n1))
| p_Rd_error(t_139) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f127,plain,
! [X0] :
( ~ p_Rd_error(plus(X0,n1))
| ~ p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f148,plain,
! [X0] :
( p_Rd_error(X0)
| ~ p_Rd_error(plus(X0,n1))
| p_Rd(X0)
| ~ p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f149,plain,
! [X0] :
( ~ p_Rd_error(X0)
| p_Rd_error(plus(X0,n1))
| p_Rd(X0)
| ~ p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f184,plain,
! [X0] :
( p_Rd_error(X0)
| ~ p_Rd_error(plus(X0,n1))
| p_Rd(X0)
| p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f185,plain,
! [X0] :
( ~ p_Rd_error(X0)
| p_Rd_error(plus(X0,n1))
| p_Rd(X0)
| p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f190,plain,
~ p_Rd(t_139),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f191,plain,
~ p_Reset(t_139),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f192,plain,
( ~ p_Rd_error(plus(t_139,n1))
| ~ p_Rd_error(t_139) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f193,plain,
( p_Rd_error(plus(t_139,n1))
| p_Rd_error(t_139) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f194,definition,
( sQ0_spl
<=> p_Rd_error(t_139) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f197,definition,
( sQ1_spl
<=> p_Rd_error(plus(t_139,n1)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( ~ sQ1_spl
| p_Rd_error(plus(t_139,n1)) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f192,f194,f197]) ).
fof(f201,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f193,f194,f197]) ).
fof(f206,plain,
! [X0] :
( p_Rd_error(X0)
| ~ p_Rd_error(plus(X0,n1))
| p_Rd(X0)
| ~ p_Wr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f148,f127]) ).
fof(f207,plain,
! [X0] :
( p_Rd_error(X0)
| ~ p_Rd_error(plus(X0,n1))
| p_Rd(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f206,f208]) ).
fof(f208,plain,
! [X0] :
( p_Rd_error(X0)
| ~ p_Rd_error(plus(X0,n1))
| p_Rd(X0)
| p_Wr(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f184,f127]) ).
fof(f209,plain,
! [X0] :
( ~ p_Rd_error(X0)
| p_Rd_error(plus(X0,n1))
| p_Rd(X0)
| p_Reset(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f185,f149]) ).
fof(f210,plain,
( ~ p_Rd_error(t_139)
| p_Rd_error(plus(t_139,n1))
| p_Rd(t_139) ),
inference(resolution,[status(thm)],[f209,f191]) ).
fof(f211,definition,
( sQ2_spl
<=> p_Rd(t_139) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ2_spl
| p_Rd(t_139) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,plain,
( ~ sQ0_spl
| sQ1_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f210,f211,f197,f194]) ).
fof(f256,plain,
( ~ sQ1_spl
| p_Rd_error(t_139)
| p_Rd(t_139) ),
inference(resolution,[status(thm)],[f198,f207]) ).
fof(f265,plain,
( ~ sQ1_spl
| sQ0_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f256,f211,f194,f197]) ).
fof(f266,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f212,f190]) ).
fof(f267,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f266]) ).
fof(f268,plain,
$false,
inference(sat_refutation,[status(thm)],[f200,f201,f214,f265,f267]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV025-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.34 % Computer : n001.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8046.5625MB
% 0.10/0.34 % OS : Linux 6.8.0-71-generic
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Sun Sep 20 20:54:27 UTC 2026
% 0.10/0.34 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.055644 seconds
% 0.13/0.41 % CPU time: 0.157527 seconds
% 0.13/0.41 % Total memory used: 104.929 MB
% 0.13/0.41 % Net memory used: 104.838 MB
%------------------------------------------------------------------------------