TSTP Solution File: SWW245+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SWW245+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n023.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 02:21:24 EDT 2022
% Result : Theorem 0.48s 0.64s
% Output : Proof 0.48s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWW245+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13 % Command : run_zenon %s %d
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 6 06:40:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.48/0.64 (* PROOF-FOUND *)
% 0.48/0.64 % SZS status Theorem
% 0.48/0.64 (* BEGIN-PROOF *)
% 0.48/0.64 % SZS output start Proof
% 0.48/0.64 Theorem conj_0 : (exists B_k : zenon_U, (exists B_a : zenon_U, ((~(B_a = (c_Groups_Ozero__class_Ozero (t_a))))/\(exists B_q : zenon_U, ((((c_Polynomial_OpCons (t_a) (v_c____) (v_cs____)) = (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (t_a))))->((c_Nat_OSuc (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (c_If (tc_Nat_Onat) (c_fequal B_q (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (t_a)))) (c_Groups_Ozero__class_Ozero (tc_Nat_Onat)) (c_Nat_OSuc (c_Polynomial_Odegree (t_a) B_q))) B_k)) = (c_Groups_Ozero__class_Ozero (tc_Nat_Onat))))/\(((~((c_Polynomial_OpCons (t_a) (v_c____) (v_cs____)) = (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (t_a)))))->((c_Nat_OSuc (c_Groups_Oplus__class_Oplus (tc_Nat_Onat) (c_If (tc_Nat_Onat) (c_fequal B_q (c_Groups_Ozero__class_Ozero (tc_Polynomial_Opoly (t_a)))) (c_Groups_Ozero__class_Ozero (tc_Nat_Onat)) (c_Nat_OSuc (c_Polynomial_Odegree (t_a) B_q))) B_k)) = (c_Nat_OSuc (c_Polynomial_Odegree (t_a) (c_Polynomial_OpCons (t_a) (v_c____) (v_cs____))))))/\(forall B_z : zenon_U, ((hAPP (c_Polynomial_Opoly (t_a) (c_Polynomial_OpCons (t_a) (v_c____) (v_cs____))) B_z) = (hAPP (hAPP (c_Groups_Otimes__class_Otimes (t_a)) (hAPP (hAPP (c_Power_Opower__class_Opower (t_a)) B_z) B_k)) (hAPP (c_Polynomial_Opoly (t_a) (c_Polynomial_OpCons (t_a) B_a B_q)) B_z)))))))))).
% 0.48/0.64 Proof.
% 0.48/0.64 apply NNPP. intro zenon_G.
% 0.48/0.64 apply (zenon_imply_s _ _ fact__096c_A_126_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096); [ zenon_intro zenon_H472 | zenon_intro zenon_H471 ].
% 0.48/0.64 exact (zenon_H472 tfree_0).
% 0.48/0.64 apply (zenon_imply_s _ _ zenon_H471); [ zenon_intro zenon_H474 | zenon_intro zenon_H473 ].
% 0.48/0.64 apply zenon_H474. zenon_intro zenon_H475.
% 0.48/0.64 apply (zenon_imply_s _ _ fact__096c_A_061_A_I0_058_058_Ha_J_061_061_062_AEX_Ak_Aa_Aq_O_Aa_A_126_061_A_I0_058_058_Ha_J_A_G_ASuc_A_I_Iif_Aq_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_Aq_J_J_A_L_Ak_J_A_061_A_Iif_ApCons_Ac_Acs_A_061_A0_Athen_A0_Aelse_ASuc_A_Idegree_A_IpCons_Ac_Acs_J_J_J_A_G_A_IALL_Az_O_Apoly_A_IpCons_Ac_Acs_J_Az_A_061_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aq_J_Az_J_096); [ zenon_intro zenon_H472 | zenon_intro zenon_H476 ].
% 0.48/0.64 exact (zenon_H472 tfree_0).
% 0.48/0.64 apply (zenon_imply_s _ _ zenon_H476); [ zenon_intro zenon_H477 | zenon_intro zenon_H473 ].
% 0.48/0.64 exact (zenon_H477 zenon_H475).
% 0.48/0.64 exact (zenon_G zenon_H473).
% 0.48/0.64 exact (zenon_G zenon_H473).
% 0.48/0.64 Qed.
% 0.48/0.64 % SZS output end Proof
% 0.48/0.64 (* END-PROOF *)
% 0.48/0.64 nodes searched: 25
% 0.48/0.64 max branch formulas: 1157
% 0.48/0.64 proof nodes created: 7
% 0.48/0.64 formulas created: 18543
% 0.48/0.64
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