%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG417-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 11:49:22 AM UTC 2026
% Result : Unsatisfiable 3.08s 1.73s
% Output : CNFRefutation 3.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 11 unt; 2 def)
% Number of atoms : 33 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 9 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f227,axiom,
! [T_a] :
( c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))
| ~ class_HOL_Ozero(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f299,axiom,
v_s____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f356,axiom,
v_s____ = c_Polynomial_OpCons(v_k____,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f410,negated_conjecture,
v_k____ = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f504,axiom,
class_HOL_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f968,plain,
! [X0] :
( c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_HOL_Ozero(X0) ),
inference(cnf_transformation,[status(thm)],[f227]) ).
fof(f1092,plain,
v_s____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cnf_transformation,[status(thm)],[f299]) ).
fof(f1186,plain,
v_s____ = c_Polynomial_OpCons(v_k____,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f1273,plain,
v_k____ = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f1367,plain,
class_HOL_Ozero(tc_Complex_Ocomplex),
inference(cnf_transformation,[status(thm)],[f504]) ).
fof(f1506,definition,
( sQ11_spl
<=> class_HOL_Ozero(tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1508,plain,
( sQ11_spl
| ~ class_HOL_Ozero(tc_Complex_Ocomplex) ),
inference(component_clause,[status(thm)],[f1506]) ).
fof(f1690,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1367,f1508]) ).
fof(f1691,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f1690]) ).
fof(f11292,plain,
( c_Polynomial_OpCons(v_k____,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_HOL_Ozero(tc_Complex_Ocomplex) ),
inference(paramodulation,[status(thm)],[f1273,f968]) ).
fof(f11293,definition,
( sQ1211_spl
<=> c_Polynomial_OpCons(v_k____,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
introduced(definition,[new_symbols(definition,[sQ1211_spl])],[split_symbol_definition]) ).
fof(f11294,plain,
( ~ sQ1211_spl
| c_Polynomial_OpCons(v_k____,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(component_clause,[status(thm)],[f11293]) ).
fof(f11296,plain,
( sQ1211_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f11292,f1506,f11293]) ).
fof(f11297,plain,
( ~ sQ1211_spl
| v_s____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(forward_demodulation,[status(thm)],[f1186,f11294]) ).
fof(f11298,plain,
( ~ sQ1211_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f11297,f1092]) ).
fof(f11299,plain,
~ sQ1211_spl,
inference(contradiction_clause,[status(thm)],[f11298]) ).
fof(f11300,plain,
$false,
inference(sat_refutation,[status(thm)],[f1691,f11296,f11299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG417-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 13:19:58 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.41 % Drodi V4.1.1
% 3.08/1.73 % Refutation found
% 3.08/1.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.08/1.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.08/1.73 % Elapsed time: 1.341054 seconds
% 3.08/1.73 % CPU time: 10.039668 seconds
% 3.08/1.73 % Total memory used: 227.735 MB
% 3.08/1.73 % Net memory used: 224.500 MB
%------------------------------------------------------------------------------