%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : ITP018^1 : TPTP v9.2.0. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n010.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 : 300s % DateTime : Fri Oct 3 07:50:56 PM UTC 2025 % Result : Theorem 5.94s 6.11s % Output : Proof 5.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : ITP018^1 : TPTP v9.2.0. Bugfixed v7.5.0. % 0.11/0.13 % Command : duper %s % 0.13/0.34 % Computer : n010.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Fri Oct 3 00:20:53 EDT 2025 % 0.13/0.34 % CPUTime : % 5.94/6.11 SZS status Theorem for theBenchmark.p % 5.94/6.11 SZS output start Proof for theBenchmark.p % 5.94/6.11 Clause #34 (by assumption #[]): Eq % 5.94/6.11 (∀ (A_27a A_27b : d) (V0x_2E0 : u), % 5.94/6.11 Eq % 5.94/6.11 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.11 (s tyop_2Erealax_2Ereal % 5.94/6.11 (c_2Ebinary__ieee_2Efloat__to__real_2E1 % 5.94/6.11 (s (tyop_2Ebinary__ieee_2Efloat A_27a A_27b) % 5.94/6.11 (c_2Ebinary__ieee_2Efloat__negate_2E1 (s (tyop_2Ebinary__ieee_2Efloat A_27a A_27b) V0x_2E0)))))) % 5.94/6.11 (mono_2Ec_2Erealax_2Ereal__neg % 5.94/6.11 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.11 (s tyop_2Erealax_2Ereal % 5.94/6.11 (c_2Ebinary__ieee_2Efloat__to__real_2E1 (s (tyop_2Ebinary__ieee_2Efloat A_27a A_27b) V0x_2E0)))))) % 5.94/6.11 True % 5.94/6.11 Clause #35 (by assumption #[]): Eq % 5.94/6.11 (∀ (A_27t A_27w : d), % 5.94/6.11 Eq % 5.94/6.11 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.11 (s tyop_2Erealax_2Ereal % 5.94/6.11 (c_2Ebinary__ieee_2Eulp_2E1 % 5.94/6.11 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod A_27t A_27w)) c_2Ebool_2Ethe__value_2E0)))) % 5.94/6.11 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.11 (s tyop_2Erealax_2Ereal % 5.94/6.11 (c_2Ebinary__ieee_2Efloat__to__real_2E1 % 5.94/6.11 (s (tyop_2Ebinary__ieee_2Efloat A_27t A_27w) % 5.94/6.11 (c_2Ebinary__ieee_2Efloat__plus__min_2E1 % 5.94/6.11 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod A_27t A_27w)) c_2Ebool_2Ethe__value_2E0))))))) % 5.94/6.11 True % 5.94/6.11 Clause #38 (by assumption #[]): Eq % 5.94/6.11 (Not % 5.94/6.11 (∀ (A_27t A_27w : d), % 5.94/6.11 Eq % 5.94/6.11 (mono_2Ec_2Erealax_2Ereal__neg % 5.94/6.11 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.11 (s tyop_2Erealax_2Ereal % 5.94/6.11 (c_2Ebinary__ieee_2Eulp_2E1 % 5.94/6.11 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod A_27t A_27w)) c_2Ebool_2Ethe__value_2E0))))) % 5.94/6.11 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.11 (s tyop_2Erealax_2Ereal % 5.94/6.11 (c_2Ebinary__ieee_2Efloat__to__real_2E1 % 5.94/6.11 (s (tyop_2Ebinary__ieee_2Efloat A_27t A_27w) % 5.94/6.11 (c_2Ebinary__ieee_2Efloat__negate_2E1 % 5.94/6.11 (s (tyop_2Ebinary__ieee_2Efloat A_27t A_27w) % 5.94/6.11 (c_2Ebinary__ieee_2Efloat__plus__min_2E1 % 5.94/6.11 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod A_27t A_27w)) c_2Ebool_2Ethe__value_2E0)))))))))) % 5.94/6.11 True % 5.94/6.11 Clause #810 (by clausification #[34]): ∀ (a : d), % 5.94/6.11 Eq % 5.94/6.11 (∀ (A_27b : d) (V0x_2E0 : u), % 5.94/6.11 Eq % 5.94/6.11 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.11 (s tyop_2Erealax_2Ereal % 5.94/6.11 (c_2Ebinary__ieee_2Efloat__to__real_2E1 % 5.94/6.11 (s (tyop_2Ebinary__ieee_2Efloat a A_27b) % 5.94/6.11 (c_2Ebinary__ieee_2Efloat__negate_2E1 (s (tyop_2Ebinary__ieee_2Efloat a A_27b) V0x_2E0)))))) % 5.94/6.11 (mono_2Ec_2Erealax_2Ereal__neg % 5.94/6.11 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.11 (s tyop_2Erealax_2Ereal % 5.94/6.11 (c_2Ebinary__ieee_2Efloat__to__real_2E1 (s (tyop_2Ebinary__ieee_2Efloat a A_27b) V0x_2E0)))))) % 5.94/6.11 True % 5.94/6.11 Clause #811 (by clausification #[810]): ∀ (a a_1 : d), % 5.94/6.11 Eq % 5.94/6.11 (∀ (V0x_2E0 : u), % 5.94/6.11 Eq % 5.94/6.11 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.11 (s tyop_2Erealax_2Ereal % 5.94/6.11 (c_2Ebinary__ieee_2Efloat__to__real_2E1 % 5.94/6.11 (s (tyop_2Ebinary__ieee_2Efloat a a_1) % 5.94/6.11 (c_2Ebinary__ieee_2Efloat__negate_2E1 (s (tyop_2Ebinary__ieee_2Efloat a a_1) V0x_2E0)))))) % 5.94/6.11 (mono_2Ec_2Erealax_2Ereal__neg % 5.94/6.11 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.11 (s tyop_2Erealax_2Ereal % 5.94/6.11 (c_2Ebinary__ieee_2Efloat__to__real_2E1 (s (tyop_2Ebinary__ieee_2Efloat a a_1) V0x_2E0)))))) % 5.94/6.11 True % 5.94/6.11 Clause #812 (by clausification #[811]): ∀ (a a_1 : d) (a_2 : u), % 5.94/6.11 Eq % 5.94/6.11 (Eq % 5.94/6.11 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.11 (s tyop_2Erealax_2Ereal % 5.94/6.11 (c_2Ebinary__ieee_2Efloat__to__real_2E1 % 5.94/6.11 (s (tyop_2Ebinary__ieee_2Efloat a a_1) % 5.94/6.11 (c_2Ebinary__ieee_2Efloat__negate_2E1 (s (tyop_2Ebinary__ieee_2Efloat a a_1) a_2)))))) % 5.94/6.11 (mono_2Ec_2Erealax_2Ereal__neg % 5.94/6.11 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.11 (s tyop_2Erealax_2Ereal % 5.94/6.11 (c_2Ebinary__ieee_2Efloat__to__real_2E1 (s (tyop_2Ebinary__ieee_2Efloat a a_1) a_2)))))) % 5.94/6.11 True % 5.94/6.11 Clause #813 (by clausification #[812]): ∀ (a a_1 : d) (a_2 : u), % 5.94/6.11 Eq % 5.94/6.11 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.11 (s tyop_2Erealax_2Ereal % 5.94/6.11 (c_2Ebinary__ieee_2Efloat__to__real_2E1 % 5.94/6.12 (s (tyop_2Ebinary__ieee_2Efloat a a_1) % 5.94/6.12 (c_2Ebinary__ieee_2Efloat__negate_2E1 (s (tyop_2Ebinary__ieee_2Efloat a a_1) a_2)))))) % 5.94/6.12 (mono_2Ec_2Erealax_2Ereal__neg % 5.94/6.12 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.12 (s tyop_2Erealax_2Ereal (c_2Ebinary__ieee_2Efloat__to__real_2E1 (s (tyop_2Ebinary__ieee_2Efloat a a_1) a_2))))) % 5.94/6.12 Clause #834 (by clausification #[35]): ∀ (a : d), % 5.94/6.12 Eq % 5.94/6.12 (∀ (A_27w : d), % 5.94/6.12 Eq % 5.94/6.12 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.12 (s tyop_2Erealax_2Ereal % 5.94/6.12 (c_2Ebinary__ieee_2Eulp_2E1 % 5.94/6.12 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod a A_27w)) c_2Ebool_2Ethe__value_2E0)))) % 5.94/6.12 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.12 (s tyop_2Erealax_2Ereal % 5.94/6.12 (c_2Ebinary__ieee_2Efloat__to__real_2E1 % 5.94/6.12 (s (tyop_2Ebinary__ieee_2Efloat a A_27w) % 5.94/6.12 (c_2Ebinary__ieee_2Efloat__plus__min_2E1 % 5.94/6.12 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod a A_27w)) c_2Ebool_2Ethe__value_2E0))))))) % 5.94/6.12 True % 5.94/6.12 Clause #835 (by clausification #[834]): ∀ (a a_1 : d), % 5.94/6.12 Eq % 5.94/6.12 (Eq % 5.94/6.12 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.12 (s tyop_2Erealax_2Ereal % 5.94/6.12 (c_2Ebinary__ieee_2Eulp_2E1 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod a a_1)) c_2Ebool_2Ethe__value_2E0)))) % 5.94/6.12 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.12 (s tyop_2Erealax_2Ereal % 5.94/6.12 (c_2Ebinary__ieee_2Efloat__to__real_2E1 % 5.94/6.12 (s (tyop_2Ebinary__ieee_2Efloat a a_1) % 5.94/6.12 (c_2Ebinary__ieee_2Efloat__plus__min_2E1 % 5.94/6.12 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod a a_1)) c_2Ebool_2Ethe__value_2E0))))))) % 5.94/6.12 True % 5.94/6.12 Clause #836 (by clausification #[835]): ∀ (a a_1 : d), % 5.94/6.12 Eq % 5.94/6.12 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.12 (s tyop_2Erealax_2Ereal % 5.94/6.12 (c_2Ebinary__ieee_2Eulp_2E1 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod a a_1)) c_2Ebool_2Ethe__value_2E0)))) % 5.94/6.12 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.12 (s tyop_2Erealax_2Ereal % 5.94/6.12 (c_2Ebinary__ieee_2Efloat__to__real_2E1 % 5.94/6.12 (s (tyop_2Ebinary__ieee_2Efloat a a_1) % 5.94/6.12 (c_2Ebinary__ieee_2Efloat__plus__min_2E1 % 5.94/6.12 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod a a_1)) c_2Ebool_2Ethe__value_2E0)))))) % 5.94/6.12 Clause #855 (by clausification #[38]): Eq % 5.94/6.12 (∀ (A_27t A_27w : d), % 5.94/6.12 Eq % 5.94/6.12 (mono_2Ec_2Erealax_2Ereal__neg % 5.94/6.12 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.12 (s tyop_2Erealax_2Ereal % 5.94/6.12 (c_2Ebinary__ieee_2Eulp_2E1 % 5.94/6.12 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod A_27t A_27w)) c_2Ebool_2Ethe__value_2E0))))) % 5.94/6.12 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.12 (s tyop_2Erealax_2Ereal % 5.94/6.12 (c_2Ebinary__ieee_2Efloat__to__real_2E1 % 5.94/6.12 (s (tyop_2Ebinary__ieee_2Efloat A_27t A_27w) % 5.94/6.12 (c_2Ebinary__ieee_2Efloat__negate_2E1 % 5.94/6.12 (s (tyop_2Ebinary__ieee_2Efloat A_27t A_27w) % 5.94/6.12 (c_2Ebinary__ieee_2Efloat__plus__min_2E1 % 5.94/6.12 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod A_27t A_27w)) c_2Ebool_2Ethe__value_2E0))))))))) % 5.94/6.12 False % 5.94/6.12 Clause #856 (by clausification #[855]): ∀ (a : d), % 5.94/6.12 Eq % 5.94/6.12 (Not % 5.94/6.12 (∀ (A_27w : d), % 5.94/6.12 Eq % 5.94/6.12 (mono_2Ec_2Erealax_2Ereal__neg % 5.94/6.12 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.12 (s tyop_2Erealax_2Ereal % 5.94/6.12 (c_2Ebinary__ieee_2Eulp_2E1 % 5.94/6.12 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod (skS.0 2 a) A_27w)) c_2Ebool_2Ethe__value_2E0))))) % 5.94/6.12 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.12 (s tyop_2Erealax_2Ereal % 5.94/6.12 (c_2Ebinary__ieee_2Efloat__to__real_2E1 % 5.94/6.12 (s (tyop_2Ebinary__ieee_2Efloat (skS.0 2 a) A_27w) % 5.94/6.12 (c_2Ebinary__ieee_2Efloat__negate_2E1 % 5.94/6.12 (s (tyop_2Ebinary__ieee_2Efloat (skS.0 2 a) A_27w) % 5.94/6.12 (c_2Ebinary__ieee_2Efloat__plus__min_2E1 % 5.94/6.12 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod (skS.0 2 a) A_27w)) % 5.94/6.12 c_2Ebool_2Ethe__value_2E0)))))))))) % 5.94/6.12 True % 5.94/6.12 Clause #857 (by clausification #[856]): ∀ (a : d), % 5.94/6.12 Eq % 5.94/6.12 (∀ (A_27w : d), % 5.94/6.12 Eq % 5.94/6.12 (mono_2Ec_2Erealax_2Ereal__neg % 5.94/6.12 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.12 (s tyop_2Erealax_2Ereal % 5.94/6.13 (c_2Ebinary__ieee_2Eulp_2E1 % 5.94/6.13 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod (skS.0 2 a) A_27w)) c_2Ebool_2Ethe__value_2E0))))) % 5.94/6.13 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.13 (s tyop_2Erealax_2Ereal % 5.94/6.13 (c_2Ebinary__ieee_2Efloat__to__real_2E1 % 5.94/6.13 (s (tyop_2Ebinary__ieee_2Efloat (skS.0 2 a) A_27w) % 5.94/6.13 (c_2Ebinary__ieee_2Efloat__negate_2E1 % 5.94/6.13 (s (tyop_2Ebinary__ieee_2Efloat (skS.0 2 a) A_27w) % 5.94/6.13 (c_2Ebinary__ieee_2Efloat__plus__min_2E1 % 5.94/6.13 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod (skS.0 2 a) A_27w)) % 5.94/6.13 c_2Ebool_2Ethe__value_2E0))))))))) % 5.94/6.13 False % 5.94/6.13 Clause #858 (by clausification #[857]): ∀ (a a_1 : d), % 5.94/6.13 Eq % 5.94/6.13 (Not % 5.94/6.13 (Eq % 5.94/6.13 (mono_2Ec_2Erealax_2Ereal__neg % 5.94/6.13 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.13 (s tyop_2Erealax_2Ereal % 5.94/6.13 (c_2Ebinary__ieee_2Eulp_2E1 % 5.94/6.13 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod (skS.0 2 a) (skS.0 3 a a_1))) % 5.94/6.13 c_2Ebool_2Ethe__value_2E0))))) % 5.94/6.13 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.13 (s tyop_2Erealax_2Ereal % 5.94/6.13 (c_2Ebinary__ieee_2Efloat__to__real_2E1 % 5.94/6.13 (s (tyop_2Ebinary__ieee_2Efloat (skS.0 2 a) (skS.0 3 a a_1)) % 5.94/6.13 (c_2Ebinary__ieee_2Efloat__negate_2E1 % 5.94/6.13 (s (tyop_2Ebinary__ieee_2Efloat (skS.0 2 a) (skS.0 3 a a_1)) % 5.94/6.13 (c_2Ebinary__ieee_2Efloat__plus__min_2E1 % 5.94/6.13 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod (skS.0 2 a) (skS.0 3 a a_1))) % 5.94/6.13 c_2Ebool_2Ethe__value_2E0)))))))))) % 5.94/6.13 True % 5.94/6.13 Clause #859 (by clausification #[858]): ∀ (a a_1 : d), % 5.94/6.13 Eq % 5.94/6.13 (Eq % 5.94/6.13 (mono_2Ec_2Erealax_2Ereal__neg % 5.94/6.13 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.13 (s tyop_2Erealax_2Ereal % 5.94/6.13 (c_2Ebinary__ieee_2Eulp_2E1 % 5.94/6.13 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod (skS.0 2 a) (skS.0 3 a a_1))) c_2Ebool_2Ethe__value_2E0))))) % 5.94/6.13 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.13 (s tyop_2Erealax_2Ereal % 5.94/6.13 (c_2Ebinary__ieee_2Efloat__to__real_2E1 % 5.94/6.13 (s (tyop_2Ebinary__ieee_2Efloat (skS.0 2 a) (skS.0 3 a a_1)) % 5.94/6.13 (c_2Ebinary__ieee_2Efloat__negate_2E1 % 5.94/6.13 (s (tyop_2Ebinary__ieee_2Efloat (skS.0 2 a) (skS.0 3 a a_1)) % 5.94/6.13 (c_2Ebinary__ieee_2Efloat__plus__min_2E1 % 5.94/6.13 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod (skS.0 2 a) (skS.0 3 a a_1))) % 5.94/6.13 c_2Ebool_2Ethe__value_2E0))))))))) % 5.94/6.13 False % 5.94/6.13 Clause #860 (by clausification #[859]): ∀ (a a_1 : d), % 5.94/6.13 Ne % 5.94/6.13 (mono_2Ec_2Erealax_2Ereal__neg % 5.94/6.13 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.13 (s tyop_2Erealax_2Ereal % 5.94/6.13 (c_2Ebinary__ieee_2Eulp_2E1 % 5.94/6.13 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod (skS.0 2 a) (skS.0 3 a a_1))) c_2Ebool_2Ethe__value_2E0))))) % 5.94/6.13 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.13 (s tyop_2Erealax_2Ereal % 5.94/6.13 (c_2Ebinary__ieee_2Efloat__to__real_2E1 % 5.94/6.13 (s (tyop_2Ebinary__ieee_2Efloat (skS.0 2 a) (skS.0 3 a a_1)) % 5.94/6.13 (c_2Ebinary__ieee_2Efloat__negate_2E1 % 5.94/6.13 (s (tyop_2Ebinary__ieee_2Efloat (skS.0 2 a) (skS.0 3 a a_1)) % 5.94/6.13 (c_2Ebinary__ieee_2Efloat__plus__min_2E1 % 5.94/6.13 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod (skS.0 2 a) (skS.0 3 a a_1))) % 5.94/6.13 c_2Ebool_2Ethe__value_2E0)))))))) % 5.94/6.13 Clause #861 (by forward demodulation #[860, 813]): ∀ (a a_1 : d), % 5.94/6.13 Ne % 5.94/6.13 (mono_2Ec_2Erealax_2Ereal__neg % 5.94/6.13 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.13 (s tyop_2Erealax_2Ereal % 5.94/6.13 (c_2Ebinary__ieee_2Eulp_2E1 % 5.94/6.13 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod (skS.0 2 a) (skS.0 3 a a_1))) c_2Ebool_2Ethe__value_2E0))))) % 5.94/6.13 (mono_2Ec_2Erealax_2Ereal__neg % 5.94/6.13 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.13 (s tyop_2Erealax_2Ereal % 5.94/6.13 (c_2Ebinary__ieee_2Efloat__to__real_2E1 % 5.94/6.13 (s (tyop_2Ebinary__ieee_2Efloat (skS.0 2 a) (skS.0 3 a a_1)) % 5.94/6.13 (c_2Ebinary__ieee_2Efloat__plus__min_2E1 % 5.94/6.13 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod (skS.0 2 a) (skS.0 3 a a_1))) % 5.94/6.13 c_2Ebool_2Ethe__value_2E0))))))) % 5.94/6.14 Clause #862 (by forward demodulation #[861, 836]): ∀ (a a_1 : d), % 5.94/6.14 Ne % 5.94/6.14 (mono_2Ec_2Erealax_2Ereal__neg % 5.94/6.14 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.14 (s tyop_2Erealax_2Ereal % 5.94/6.14 (c_2Ebinary__ieee_2Eulp_2E1 % 5.94/6.14 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod (skS.0 2 a) (skS.0 3 a a_1))) c_2Ebool_2Ethe__value_2E0))))) % 5.94/6.14 (mono_2Ec_2Erealax_2Ereal__neg % 5.94/6.14 (j_mono_2Etyop_2Erealax_2Ereal % 5.94/6.14 (s tyop_2Erealax_2Ereal % 5.94/6.14 (c_2Ebinary__ieee_2Eulp_2E1 % 5.94/6.14 (s (tyop_2Ebool_2Eitself (tyop_2Epair_2Eprod (skS.0 2 a) (skS.0 3 a a_1))) c_2Ebool_2Ethe__value_2E0))))) % 5.94/6.14 Clause #863 (by eliminate resolved literals #[862]): False % 5.94/6.14 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------