%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG396-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 11:49:20 AM UTC 2026
% Result : Unsatisfiable 0.22s 5.57s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 6 unt; 0 def)
% Number of atoms : 6 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f663,axiom,
! [V_x] : c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(V_x,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_pa____,V_x,tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f709,negated_conjecture,
c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(v_x____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1987,plain,
! [X0] : c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(X0,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_pa____,X0,tc_Complex_Ocomplex),
inference(cnf_transformation,[status(thm)],[f663]) ).
fof(f2070,plain,
c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_q____,c_HOL_Ominus__class_Ominus(v_x____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(cnf_transformation,[status(thm)],[f709]) ).
fof(f2236,plain,
c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_pa____,v_x____,tc_Complex_Ocomplex),
inference(backward_demodulation,[status(thm)],[f1987,f2070]) ).
fof(f2237,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f2236]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG396-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.44 % Computer : n015.cluster.edu
% 0.17/5.44 % Model : x86_64 x86_64
% 0.17/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.44 % Memory : 8046.5625MB
% 0.17/5.44 % OS : Linux 6.8.0-71-generic
% 0.17/5.44 % CPULimit : 300
% 0.17/5.44 % WCLimit : 300
% 0.17/5.44 % DateTime : Mon Sep 21 13:22:11 UTC 2026
% 0.17/5.44 % CPUTime :
% 0.22/5.54 % Drodi V4.1.1
% 0.22/5.57 % Refutation found
% 0.22/5.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/5.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/5.62 % Elapsed time: 0.163883 seconds
% 0.22/5.62 % CPU time: 0.268341 seconds
% 0.22/5.62 % Total memory used: 77.089 MB
% 0.22/5.62 % Net memory used: 76.724 MB
%------------------------------------------------------------------------------