%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV573-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 03:13:44 PM UTC 2026
% Result : Unsatisfiable 45.28s 7.34s
% Output : Proof 45.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 3 ( 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 : 13 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1063,axiom,
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',cls_complex__Re__of__nat_0) ).
fof(f1063_nnf,plain,
! [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),
inference(nnf_transformation,[status(thm)],[f1063]) ).
fof(f1063_sk,plain,
! [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),
inference(skolemisation,[status(esa)],[f1063_nnf]) ).
cnf(c1063,plain,
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(esa)],[f1063_sk]) ).
cnf(f759,axiom,
c_Complex_Ocomplex_OComplex(c_Complex_ORe(V_z),c_Complex_OIm(V_z)) = V_z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__surj_0) ).
fof(f759_nnf,plain,
! [V_z] : c_Complex_Ocomplex_OComplex(c_Complex_ORe(V_z),c_Complex_OIm(V_z)) = V_z,
inference(nnf_transformation,[status(thm)],[f759]) ).
fof(f759_sk,plain,
! [V_z] : c_Complex_Ocomplex_OComplex(c_Complex_ORe(V_z),c_Complex_OIm(V_z)) = V_z,
inference(skolemisation,[status(esa)],[f759_nnf]) ).
cnf(c759,plain,
c_Complex_Ocomplex_OComplex(c_Complex_ORe(X0),c_Complex_OIm(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f759_sk]) ).
cnf(p897,plain,
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(superposition,[status(thm)],[c1063,c759]) ).
cnf(f1053,axiom,
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',cls_complex__eq__cancel__iff2_2) ).
fof(f1053_nnf,plain,
! [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),
inference(nnf_transformation,[status(thm)],[f1053]) ).
fof(f1053_sk,plain,
! [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),
inference(skolemisation,[status(esa)],[f1053_nnf]) ).
cnf(c1053,plain,
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(esa)],[f1053_sk]) ).
cnf(f1067,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',cls_conjecture_0) ).
fof(f1067_nnf,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(nnf_transformation,[status(thm)],[f1067]) ).
fof(f1067_sk,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(skolemisation,[status(esa)],[f1067_nnf]) ).
cnf(c1067,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(esa)],[f1067_sk]) ).
cnf(p885,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(superposition,[status(thm)],[c1053,c1067]) ).
cnf(p898,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(demodulation,[status(thm)],[p897,p885]) ).
cnf(p899,plain,
$false,
inference(equality_resolution,[status(thm)],[p898]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV573-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Thu Sep 24 20:39:56 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 45.28/7.34 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 45.28/7.34 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------