%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV023-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 56 ( 26 unt; 4 def)
% Number of atoms : 99 ( 30 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 81 ( 38 ~; 39 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X_1] : gt(plus(X_1,n1),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X_3,Y_4,Z_5] :
( def_10(Y_4,X_3)
| plus(Z_5,Y_4) != X_3
| minus(X_3,Y_4) = Z_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [Y_4,X_3] :
( X_3 != Y_4
| ~ def_10(Y_4,X_3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X_31] : plus(n0,X_31) = X_31,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X_t_32] : level(X_t_32) = int_level(X_t_32),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X_t_35] :
( p_Empty(X_t_35)
| int_level(X_t_35) != n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,axiom,
! [X_t_42] :
( int_level(plus(X_t_42,n1)) = minus(int_level(X_t_42),n1)
| ~ gt(int_level(X_t_42),n0)
| ~ p_Rd(X_t_42)
| p_Wr(X_t_42)
| p_Reset(X_t_42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f91,negated_conjecture,
level(t_139) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
~ p_Wr(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
p_Rd(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
~ p_Reset(t_139),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,negated_conjecture,
~ p_Empty(plus(t_139,n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f97,plain,
! [X0] : gt(plus(X0,n1),n0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f101,plain,
! [X_3,Y_4] :
( def_10(Y_4,X_3)
| ! [Z_5] :
( plus(Z_5,Y_4) != X_3
| minus(X_3,Y_4) = Z_5 ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f102,plain,
! [X0,X1,X2] :
( def_10(X1,X0)
| plus(X2,X1) != X0
| minus(X0,X1) = X2 ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f104,plain,
! [X0,X1] :
( X1 != X0
| ~ def_10(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f117,plain,
! [X0] : plus(n0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f119,plain,
! [X0] : level(X0) = int_level(X0),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f122,plain,
! [X0] :
( p_Empty(X0)
| int_level(X0) != n0 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f171,plain,
! [X0] :
( int_level(plus(X0,n1)) = minus(int_level(X0),n1)
| ~ gt(int_level(X0),n0)
| ~ p_Rd(X0)
| p_Wr(X0)
| p_Reset(X0) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f191,plain,
level(t_139) = n1,
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f192,plain,
~ p_Wr(t_139),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f193,plain,
p_Rd(t_139),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f194,plain,
~ p_Reset(t_139),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f195,plain,
~ p_Empty(plus(t_139,n1)),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f197,plain,
! [X0,X1] :
( def_10(X1,plus(X0,X1))
| minus(plus(X0,X1),X1) = X0 ),
inference(destructive_equality_resolution,[status(thm)],[f102]) ).
fof(f198,plain,
! [X0] : ~ def_10(X0,X0),
inference(destructive_equality_resolution,[status(thm)],[f104]) ).
fof(f255,plain,
int_level(t_139) = n1,
inference(forward_demodulation,[status(thm)],[f119,f191]) ).
fof(f266,plain,
gt(n1,n0),
inference(paramodulation,[status(thm)],[f117,f97]) ).
fof(f268,definition,
( sQ0_spl
<=> p_Reset(t_139) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ0_spl
| p_Reset(t_139) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,definition,
( sQ1_spl
<=> p_Rd(t_139) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( sQ1_spl
| ~ p_Rd(t_139) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f292,plain,
! [X0] :
( def_10(X0,X0)
| minus(plus(n0,X0),X0) = n0 ),
inference(paramodulation,[status(thm)],[f117,f197]) ).
fof(f293,plain,
! [X0] :
( def_10(X0,X0)
| minus(X0,X0) = n0 ),
inference(forward_demodulation,[status(thm)],[f117,f292]) ).
fof(f295,plain,
! [X0] : minus(X0,X0) = n0,
inference(forward_subsumption_resolution,[status(thm)],[f293,f198]) ).
fof(f307,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f269,f194]) ).
fof(f308,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f307]) ).
fof(f347,definition,
( sQ15_spl
<=> gt(int_level(t_139),n0) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( sQ15_spl
| ~ gt(int_level(t_139),n0) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f415,plain,
( int_level(plus(t_139,n1)) = minus(int_level(t_139),n1)
| ~ gt(int_level(t_139),n0)
| ~ p_Rd(t_139)
| p_Reset(t_139) ),
inference(resolution,[status(thm)],[f171,f192]) ).
fof(f416,definition,
( sQ27_spl
<=> int_level(plus(t_139,n1)) = minus(int_level(t_139),n1) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( ~ sQ27_spl
| int_level(plus(t_139,n1)) = minus(int_level(t_139),n1) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( sQ27_spl
| ~ sQ15_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f415,f268,f271,f347,f416]) ).
fof(f420,plain,
( sQ15_spl
| ~ gt(n1,n0) ),
inference(forward_demodulation,[status(thm)],[f255,f349]) ).
fof(f421,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f420,f266]) ).
fof(f422,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f421]) ).
fof(f423,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f273,f193]) ).
fof(f424,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f423]) ).
fof(f431,plain,
( ~ sQ27_spl
| int_level(plus(t_139,n1)) = minus(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f255,f417]) ).
fof(f432,plain,
( ~ sQ27_spl
| int_level(plus(t_139,n1)) = n0 ),
inference(forward_demodulation,[status(thm)],[f295,f431]) ).
fof(f499,plain,
int_level(plus(t_139,n1)) != n0,
inference(resolution,[status(thm)],[f122,f195]) ).
fof(f500,plain,
( ~ sQ27_spl
| n0 != n0 ),
inference(forward_demodulation,[status(thm)],[f432,f499]) ).
fof(f501,plain,
( ~ sQ27_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f500]) ).
fof(f502,plain,
~ sQ27_spl,
inference(contradiction_clause,[status(thm)],[f501]) ).
fof(f503,plain,
$false,
inference(sat_refutation,[status(thm)],[f308,f419,f422,f424,f502]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV023-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n014.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sun Sep 20 20:48:34 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.065165 seconds
% 0.14/0.43 % CPU time: 0.213306 seconds
% 0.14/0.43 % Total memory used: 106.456 MB
% 0.14/0.43 % Net memory used: 106.254 MB
%------------------------------------------------------------------------------