%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : ITP010+1 : TPTP v8.1.0. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n026.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 : Sun Jul 17 00:41:57 EDT 2022 % Result : Theorem 0.20s 0.42s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : ITP010+1 : TPTP v8.1.0. Bugfixed v7.5.0. % 0.14/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.14/0.35 % Computer : n026.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.20/0.35 % CPULimit : 300 % 0.20/0.35 % WCLimit : 600 % 0.20/0.35 % DateTime : Fri Jun 3 23:27:13 EDT 2022 % 0.20/0.36 % CPUTime : % 0.20/0.42 % SZS status Theorem % 0.20/0.42 (* PROOF-FOUND *) % 0.20/0.42 (* BEGIN-PROOF *) % 0.20/0.42 % SZS output start Proof % 0.20/0.42 1. (-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) T_1) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) T_3))))) (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) T_1) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) T_3)))) ### Axiom % 0.20/0.42 2. (-. (-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) T_1) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) T_3)))))) (-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) T_1) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) T_3))))) ### NotNot 1 % 0.20/0.42 3. (-. (-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) T_1) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) T_3)))))) (-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) T_1) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) T_3))))) ### Axiom % 0.20/0.42 4. (-. ((-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) T_1) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) T_3))))) <=> (-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) T_1) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) T_3))))))) ### NotEquiv 2 3 % 0.20/0.42 5. (-. (All V1t_2E0, ((-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) T_1) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) V1t_2E0))))) <=> (-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) T_1) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) V1t_2E0)))))))) ### NotAllEx 4 % 0.20/0.42 6. (-. (All V0s_2E0, (All V1t_2E0, ((-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) V0s_2E0) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) V1t_2E0))))) <=> (-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) V0s_2E0) (s (tyop_2Emin_2Efun T_2 (tyop_2Emin_2Ebool)) V1t_2E0))))))))) ### NotAllEx 5 % 0.20/0.42 7. (-. (All A_27b, (All V0s_2E0, (All V1t_2E0, ((-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) V0s_2E0) (s (tyop_2Emin_2Efun A_27b (tyop_2Emin_2Ebool)) V1t_2E0))))) <=> (-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun T_0 (tyop_2Emin_2Ebool)) V0s_2E0) (s (tyop_2Emin_2Efun A_27b (tyop_2Emin_2Ebool)) V1t_2E0)))))))))) ### NotAllEx 6 % 0.20/0.42 8. (-. (All A_27a, (All A_27b, (All V0s_2E0, (All V1t_2E0, ((-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun A_27a (tyop_2Emin_2Ebool)) V0s_2E0) (s (tyop_2Emin_2Efun A_27b (tyop_2Emin_2Ebool)) V1t_2E0))))) <=> (-. (p (s (tyop_2Emin_2Ebool) (c_2Ecardinal_2Ecardleq_2E2 (s (tyop_2Emin_2Efun A_27a (tyop_2Emin_2Ebool)) V0s_2E0) (s (tyop_2Emin_2Efun A_27b (tyop_2Emin_2Ebool)) V1t_2E0))))))))))) ### NotAllEx 7 % 0.20/0.42 % SZS output end Proof % 0.20/0.42 (* END-PROOF *) %------------------------------------------------------------------------------