TSTP Solution File: SWW232+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SWW232+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 01:31:25 EDT 2022
% Result : Theorem 7.89s 8.08s
% Output : Proof 7.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW232+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 4 13:41:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 7.89/8.08 % SZS status Theorem
% 7.89/8.08 (* PROOF-FOUND *)
% 7.89/8.08 (* BEGIN-PROOF *)
% 7.89/8.08 % SZS output start Proof
% 7.89/8.08 1. ((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) ((v_cs____) = (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) ### Axiom
% 7.89/8.08 2. (-. ((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex))))) ((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) ### NotNot 1
% 7.89/8.08 3. (-. (Ex B_r, (All B_z, ((c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) B_r (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) B_z)) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) (c_Groups_Oplus__class_Oplus (tc_RealDef_Oreal) (v_da____) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (v_aa____))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (c_Polynomial_OpCons (tc_Complex_Ocomplex) (v_c____) (v_cs____))) B_z))))))) (Ex B_r, (All B_z, ((c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) B_r (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) B_z)) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) (c_Groups_Oplus__class_Oplus (tc_RealDef_Oreal) (v_da____) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (v_aa____))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (c_Polynomial_OpCons (tc_Complex_Ocomplex) (v_c____) (v_cs____))) B_z)))))) ### Axiom
% 7.89/8.08 4. (((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) => (Ex B_r, (All B_z, ((c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) B_r (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) B_z)) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) (c_Groups_Oplus__class_Oplus (tc_RealDef_Oreal) (v_da____) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (v_aa____))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (c_Polynomial_OpCons (tc_Complex_Ocomplex) (v_c____) (v_cs____))) B_z))))))) (-. (Ex B_r, (All B_z, ((c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) B_r (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) B_z)) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) (c_Groups_Oplus__class_Oplus (tc_RealDef_Oreal) (v_da____) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (v_aa____))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (c_Polynomial_OpCons (tc_Complex_Ocomplex) (v_c____) (v_cs____))) B_z))))))) ((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) ### Imply 2 3
% 7.89/8.08 5. (All V_d, (((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) => (Ex B_r, (All B_z, ((c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) B_r (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) B_z)) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) V_d (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (c_Polynomial_OpCons (tc_Complex_Ocomplex) (v_c____) (v_cs____))) B_z)))))))) ((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) (-. (Ex B_r, (All B_z, ((c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) B_r (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) B_z)) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) (c_Groups_Oplus__class_Oplus (tc_RealDef_Oreal) (v_da____) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (v_aa____))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (c_Polynomial_OpCons (tc_Complex_Ocomplex) (v_c____) (v_cs____))) B_z))))))) ### All 4
% 7.89/8.08 6. (All V_a, (All V_d, (((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) => (Ex B_r, (All B_z, ((c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) B_r (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) B_z)) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) V_d (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (c_Polynomial_OpCons (tc_Complex_Ocomplex) V_a (v_cs____))) B_z))))))))) (-. (Ex B_r, (All B_z, ((c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) B_r (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) B_z)) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) (c_Groups_Oplus__class_Oplus (tc_RealDef_Oreal) (v_da____) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (v_aa____))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (c_Polynomial_OpCons (tc_Complex_Ocomplex) (v_c____) (v_cs____))) B_z))))))) ((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) ### All 5
% 7.89/8.08 7. (-. (v_thesis____)) (v_thesis____) ### P-NotP
% 7.89/8.08 8. ((Ex B_r, (All B_z, ((c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) B_r (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) B_z)) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) (c_Groups_Oplus__class_Oplus (tc_RealDef_Oreal) (v_da____) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (v_aa____))) (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (c_Polynomial_OpCons (tc_Complex_Ocomplex) (v_c____) (v_cs____))) B_z)))))) => (v_thesis____)) (-. (v_thesis____)) ((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) (All V_a, (All V_d, (((v_cs____) != (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (tc_Complex_Ocomplex)))) => (Ex B_r, (All B_z, ((c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) B_r (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) B_z)) => (c_Orderings_Oord__class_Oless__eq (tc_RealDef_Oreal) V_d (c_RealVector_Onorm__class_Onorm (tc_Complex_Ocomplex) (hAPP (c_Polynomial_Opoly (tc_Complex_Ocomplex) (c_Polynomial_OpCons (tc_Complex_Ocomplex) V_a (v_cs____))) B_z))))))))) ### Imply 6 7
% 7.89/8.08 % SZS output end Proof
% 7.89/8.08 (* END-PROOF *)
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