%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG439-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 11:49:25 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.44s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f733,axiom,
! [V_c,V_x] : c_Polynomial_Opoly(c_Polynomial_OpCons(V_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),V_x,tc_Complex_Ocomplex) = V_c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f735,negated_conjecture,
( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != v_y
| v_c != v_y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f736,negated_conjecture,
( v_c = v_y
| c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) = v_y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2160,plain,
! [X0,X1] : c_Polynomial_Opoly(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex) = X0,
inference(cnf_transformation,[status(thm)],[f733]) ).
fof(f2162,plain,
( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != v_y
| v_c != v_y ),
inference(cnf_transformation,[status(thm)],[f735]) ).
fof(f2163,plain,
( v_c = v_y
| c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) = v_y ),
inference(cnf_transformation,[status(thm)],[f736]) ).
fof(f2345,plain,
( v_y = c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex)
| v_c != c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) ),
inference(equality_factoring,[status(thm)],[f2163]) ).
fof(f2346,plain,
( v_y = v_c
| v_c != c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) ),
inference(backward_demodulation,[status(thm)],[f2160,f2345]) ).
fof(f2348,plain,
( v_c != v_y
| v_c != v_y ),
inference(backward_demodulation,[status(thm)],[f2160,f2162]) ).
fof(f2349,plain,
( v_y = v_c
| v_c != v_c ),
inference(forward_demodulation,[status(thm)],[f2160,f2346]) ).
fof(f2350,plain,
v_y = v_c,
inference(trivial_equality_resolution,[status(thm)],[f2349]) ).
fof(f2352,plain,
v_c != v_y,
inference(duplicate_literals_removal,[status(thm)],[f2348]) ).
fof(f2353,plain,
v_c != v_c,
inference(forward_demodulation,[status(thm)],[f2350,f2352]) ).
fof(f2354,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f2353]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG439-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 13:20:51 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.41 % Drodi V4.1.1
% 0.12/0.44 % Refutation found
% 0.12/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.48 % Elapsed time: 0.122700 seconds
% 0.18/0.48 % CPU time: 0.250593 seconds
% 0.18/0.48 % Total memory used: 147.076 MB
% 0.18/0.48 % Net memory used: 146.435 MB
%------------------------------------------------------------------------------