%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV573-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 02:49:10 PM UTC 2026
% Result : Unsatisfiable 5.17s 1.32s
% Output : CNFRefutation 5.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f760,axiom,
! [V_z] : c_Complex_Ocomplex_OComplex(c_Complex_ORe(V_z),c_Complex_OIm(V_z)) = V_z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1054,axiom,
! [V_x] : c_Complex_Ocomplex_OComplex(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_RealVector_Oof__real(V_x,tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1063,axiom,
! [V_n] : c_Complex_OIm(c_Nat_Osemiring__1__class_Oof__nat(V_n,tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1064,axiom,
! [V_n] : c_Complex_ORe(c_Nat_Osemiring__1__class_Oof__nat(V_n,tc_Complex_Ocomplex)) = c_Nat_Osemiring__1__class_Oof__nat(V_n,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1068,negated_conjecture,
c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex) != c_Complex_Ocomplex_OComplex(c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2458,plain,
! [X0] : c_Complex_Ocomplex_OComplex(c_Complex_ORe(X0),c_Complex_OIm(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f760]) ).
fof(f2917,plain,
! [X0] : c_Complex_Ocomplex_OComplex(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_RealVector_Oof__real(X0,tc_Complex_Ocomplex),
inference(cnf_transformation,[status(thm)],[f1054]) ).
fof(f2932,plain,
! [X0] : c_Complex_OIm(c_Nat_Osemiring__1__class_Oof__nat(X0,tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f1063]) ).
fof(f2933,plain,
! [X0] : c_Complex_ORe(c_Nat_Osemiring__1__class_Oof__nat(X0,tc_Complex_Ocomplex)) = c_Nat_Osemiring__1__class_Oof__nat(X0,tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f1064]) ).
fof(f2940,plain,
c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex) != c_Complex_Ocomplex_OComplex(c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(cnf_transformation,[status(thm)],[f1068]) ).
fof(f3141,plain,
c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex) != c_RealVector_Oof__real(c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_RealDef_Oreal),tc_Complex_Ocomplex),
inference(forward_demodulation,[status(thm)],[f2917,f2940]) ).
fof(f3256,plain,
! [X0] : c_Complex_Ocomplex_OComplex(c_Nat_Osemiring__1__class_Oof__nat(X0,tc_RealDef_Oreal),c_Complex_OIm(c_Nat_Osemiring__1__class_Oof__nat(X0,tc_Complex_Ocomplex))) = c_Nat_Osemiring__1__class_Oof__nat(X0,tc_Complex_Ocomplex),
inference(paramodulation,[status(thm)],[f2933,f2458]) ).
fof(f3257,plain,
! [X0] : c_Complex_Ocomplex_OComplex(c_Nat_Osemiring__1__class_Oof__nat(X0,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Nat_Osemiring__1__class_Oof__nat(X0,tc_Complex_Ocomplex),
inference(forward_demodulation,[status(thm)],[f2932,f3256]) ).
fof(f3258,plain,
c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex) != c_Nat_Osemiring__1__class_Oof__nat(v_n,tc_Complex_Ocomplex),
inference(backward_demodulation,[status(thm)],[f3259,f3141]) ).
fof(f3259,plain,
! [X0] : c_RealVector_Oof__real(c_Nat_Osemiring__1__class_Oof__nat(X0,tc_RealDef_Oreal),tc_Complex_Ocomplex) = c_Nat_Osemiring__1__class_Oof__nat(X0,tc_Complex_Ocomplex),
inference(forward_demodulation,[status(thm)],[f2917,f3257]) ).
fof(f3260,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f3258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV573-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n011.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 09:11:10 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.22/0.53 % Drodi V4.1.1
% 5.17/1.32 % Refutation found
% 5.17/1.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.17/1.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.17/1.33 % Elapsed time: 0.876194 seconds
% 5.17/1.33 % CPU time: 6.129128 seconds
% 5.17/1.33 % Total memory used: 224.904 MB
% 5.17/1.33 % Net memory used: 221.796 MB
%------------------------------------------------------------------------------