%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP018_1 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 : Wed Jun 3 08:24:40 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP018_1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 03:58:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort tptp.mono_2Etyop_2Erealax_2Ereal 0) % 0.38/0.60 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 0) % 0.38/0.60 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 0) % 0.38/0.60 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 0) % 0.38/0.60 (declare-sort tptp.mono_2Etyop_2Emin_2Ebool 0) % 0.38/0.60 (declare-sort tptp.d 0) % 0.38/0.60 (declare-sort tptp.u 0) % 0.38/0.60 (declare-sort tptp.du 0) % 0.38/0.60 (declare-const tptp.c_2Ebool_2Ethe__value_2E0 tptp.u) % 0.38/0.60 (declare-const tptp.c_2Ebinary__ieee_2Eulp_2E1 (-> tptp.du tptp.u)) % 0.38/0.60 (declare-const tptp.c_2Ebinary__ieee_2Eulp_2E0 tptp.u) % 0.38/0.60 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal)) % 0.38/0.60 (declare-const tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 (-> tptp.du tptp.u)) % 0.38/0.60 (declare-const tptp.c_2Ebinary__ieee_2Efloat__to__real_2E0 tptp.u) % 0.38/0.60 (declare-const tptp.c_2Ebinary__ieee_2Efloat__plus__min_2E1 (-> tptp.du tptp.u)) % 0.38/0.60 (declare-const tptp.c_2Ebinary__ieee_2Efloat__plus__min_2E0 tptp.u) % 0.38/0.60 (declare-const tptp.mono_2Ec_2Erealax_2Ereal__neg_2E1 (-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal)) % 0.38/0.60 (declare-const tptp.tyop_2Ebool_2Eitself (-> tptp.d tptp.d)) % 0.38/0.60 (declare-const tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 (-> tptp.du tptp.u)) % 0.38/0.60 (declare-const tptp.c_2Ebinary__ieee_2Efloat__negate_2E0 tptp.u) % 0.38/0.60 (declare-const tptp.mono_2Ec_2Erealax_2Ereal__neg_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) % 0.38/0.60 (declare-const tptp.tyop_2Ebinary__ieee_2Efloat (-> tptp.d tptp.d tptp.d)) % 0.38/0.60 (declare-const tptp.mono_2Ec_2Ebool_2E_5C_2F_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29) % 0.38/0.60 (declare-const tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29) % 0.38/0.60 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.60 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)) % 0.38/0.60 (declare-const tptp.mono_2Ec_2Ebool_2E_2F_5C_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29) % 0.38/0.60 (declare-const tptp.mono_2Ec_2Ebool_2E_5C_2F_2E2 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.60 (declare-const tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E2 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.60 (declare-const tptp.combin_k_2E0 tptp.u) % 0.38/0.60 (declare-const tptp.mono_2Ec_2Ebool_2E_2F_5C_2E2 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.60 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 tptp.u)) % 0.38/0.60 (declare-const tptp.combin_i_2E0 tptp.u) % 0.38/0.60 (declare-const tptp.mono_2Ec_2Ebool_2EF_2E0 tptp.mono_2Etyop_2Emin_2Ebool) % 0.38/0.60 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> tptp.du tptp.u)) % 0.38/0.60 (declare-const tptp.c_2Ebool_2E_3F_2E0 tptp.u) % 0.38/0.60 (declare-const tptp.j_mono_2Etyop_2Erealax_2Ereal (-> tptp.du tptp.mono_2Etyop_2Erealax_2Ereal)) % 0.38/0.60 (declare-const tptp.tyop_2Epair_2Eprod (-> tptp.d tptp.d tptp.d)) % 0.38/0.60 (declare-const tptp.mono_2Ec_2Ebool_2E_7E_2E1 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.60 (declare-const tptp.tyop_2Erealax_2Ereal tptp.d) % 0.38/0.60 (declare-const tptp.p (-> tptp.mono_2Etyop_2Emin_2Ebool Bool)) % 0.38/0.60 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 tptp.u)) % 0.38/0.60 (declare-const tptp.app_2E2 (-> tptp.du tptp.du tptp.u)) % 0.38/0.60 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.u)) % 0.38/0.60 (declare-const tptp.s (-> tptp.d tptp.u tptp.du)) % 0.38/0.60 (declare-const tptp.i_mono_2Etyop_2Emin_2Ebool (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.u)) % 0.38/0.60 (declare-const tptp.mono_2Ec_2Ebool_2ET_2E0 tptp.mono_2Etyop_2Emin_2Ebool) % 0.38/0.60 (declare-const tptp.tyop_2Emin_2Efun (-> tptp.d tptp.d tptp.d)) % 0.38/0.60 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> tptp.du tptp.du tptp.u)) % 0.38/0.60 (declare-const tptp.c_2Emin_2E_3D_2E0 tptp.u) % 0.38/0.60 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29)) % 0.38/0.60 (declare-const tptp.mono_2Ec_2Ebool_2E_7E_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29) % 0.38/0.60 (declare-const tptp.tyop_2Emin_2Ebool tptp.d) % 0.38/0.60 (declare-const tptp.j_mono_2Etyop_2Emin_2Ebool (-> tptp.du tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.60 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> tptp.du tptp.u)) % 0.38/0.60 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)) % 0.38/0.60 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.38/0.60 (declare-const tptp.combin_s_2E0 tptp.u) % 0.38/0.60 (declare-const tptp.i_mono_2Etyop_2Erealax_2Ereal (-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.u)) % 0.38/0.60 (declare-const tptp.c_2Ebool_2E_21_2E0 tptp.u) % 0.38/0.60 (define @t1 () (@var "V1g_2E0" tptp.u)) % 0.38/0.60 (define @t2 () (@var "A_27b" tptp.d)) % 0.38/0.60 (define @t3 () (@var "A_27a" tptp.d)) % 0.38/0.60 (define @t4 () (tptp.tyop_2Emin_2Efun @t3 @t2)) % 0.38/0.60 (define @t5 () (tptp.s @t4 @t1)) % 0.38/0.60 (define @t6 () (@var "V0f_2E0" tptp.u)) % 0.38/0.60 (define @t7 () (tptp.s @t4 @t6)) % 0.38/0.60 (define @t8 () (@var "V2x_2E0" tptp.u)) % 0.38/0.60 (define @t9 () (tptp.s @t3 @t8)) % 0.38/0.60 (define @t10 () (tptp.s @t2 (tptp.app_2E2 @t5 @t9))) % 0.38/0.60 (define @t11 () (@var "V1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.60 (define @t12 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.60 (define @t13 () (tptp.p @t11)) % 0.38/0.60 (define @t14 () (tptp.p @t12)) % 0.38/0.60 (define @t15 () (@list @t12 @t11)) % 0.38/0.60 (define @t16 () (tptp.p tptp.mono_2Ec_2Ebool_2ET_2E0)) % 0.38/0.60 (define @t17 () (@var "V0t_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.60 (define @t18 () (@var "V0x_2E0" tptp.u)) % 0.38/0.60 (define @t19 () (tptp.s @t3 @t18)) % 0.38/0.60 (define @t20 () (@list @t3 @t18)) % 0.38/0.60 (define @t21 () (@var "V1y_2E0" tptp.u)) % 0.38/0.60 (define @t22 () (tptp.tyop_2Emin_2Efun @t2 @t3)) % 0.38/0.60 (define @t23 () (@var "A_27c" tptp.d)) % 0.38/0.60 (define @t24 () (tptp.tyop_2Emin_2Efun @t2 @t23)) % 0.38/0.60 (define @t25 () (tptp.tyop_2Emin_2Efun @t3 @t24)) % 0.38/0.60 (define @t26 () (tptp.s @t25 @t6)) % 0.38/0.60 (define @t27 () (tptp.tyop_2Emin_2Efun @t3 @t23)) % 0.38/0.60 (define @t28 () (tptp.tyop_2Emin_2Efun @t4 @t27)) % 0.38/0.60 (define @t29 () (@list @t12)) % 0.38/0.60 (define @t30 () (@var "V1_2E0" tptp.u)) % 0.38/0.60 (define @t31 () (tptp.s @t3 @t30)) % 0.38/0.60 (define @t32 () (@var "V0_2E0" tptp.u)) % 0.38/0.60 (define @t33 () (tptp.s @t3 @t32)) % 0.38/0.60 (define @t34 () (@var "V1x_2E0" tptp.u)) % 0.38/0.60 (define @t35 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool)) % 0.38/0.60 (define @t36 () (tptp.s @t35 @t6)) % 0.38/0.60 (define @t37 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t36 (tptp.s @t3 @t34)))))) % 0.38/0.60 (define @t38 () (@list @t34)) % 0.38/0.60 (define @t39 () (@list @t3 @t6)) % 0.38/0.60 (define @t40 () (tptp.s tptp.tyop_2Emin_2Ebool @t32)) % 0.38/0.60 (define @t41 () (@list @t32)) % 0.38/0.60 (define @t42 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) % 0.38/0.60 (define @t43 () (tptp.s @t42 @t32)) % 0.38/0.60 (define @t44 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t42)) % 0.38/0.60 (define @t45 () (tptp.s @t44 @t32)) % 0.38/0.60 (define @t46 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal tptp.tyop_2Erealax_2Ereal)) % 0.38/0.60 (define @t47 () (tptp.s @t46 @t32)) % 0.38/0.60 (define @t48 () (tptp.s tptp.tyop_2Erealax_2Ereal @t32)) % 0.38/0.60 (define @t49 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)) % 0.38/0.60 (define @t50 () (tptp.s @t42 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t49))) % 0.38/0.60 (define @t51 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29)) % 0.38/0.60 (define @t52 () (tptp.s @t44 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t51))) % 0.38/0.60 (define @t53 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.38/0.60 (define @t54 () (tptp.s @t46 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @t53))) % 0.38/0.60 (define @t55 () (@var "V0_2E0" tptp.mono_2Etyop_2Erealax_2Ereal)) % 0.38/0.60 (define @t56 () (@var "X0_2E0" tptp.u)) % 0.38/0.60 (define @t57 () (tptp.s @t35 @t56)) % 0.38/0.60 (define @t58 () (tptp.tyop_2Emin_2Efun @t35 tptp.tyop_2Emin_2Ebool)) % 0.38/0.60 (define @t59 () (@list @t3 @t56)) % 0.38/0.60 (define @t60 () (@var "X1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.60 (define @t61 () (@var "X0_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.38/0.60 (define @t62 () (tptp.p @t60)) % 0.38/0.60 (define @t63 () (tptp.p @t61)) % 0.38/0.60 (define @t64 () (@list @t61 @t60)) % 0.38/0.60 (define @t65 () (@var "X1_2E0" tptp.u)) % 0.38/0.60 (define @t66 () (tptp.s @t3 @t65)) % 0.38/0.60 (define @t67 () (tptp.s @t3 @t56)) % 0.38/0.60 (define @t68 () (tptp.tyop_2Ebinary__ieee_2Efloat @t3 @t2)) % 0.38/0.60 (define @t69 () (tptp.s @t68 @t56)) % 0.38/0.60 (define @t70 () (@list @t3 @t2 @t56)) % 0.38/0.60 (define @t71 () (@var "A_27w" tptp.d)) % 0.38/0.60 (define @t72 () (@var "A_27t" tptp.d)) % 0.38/0.60 (define @t73 () (tptp.tyop_2Ebinary__ieee_2Efloat @t72 @t71)) % 0.38/0.60 (define @t74 () (tptp.s @t73 @t56)) % 0.38/0.60 (define @t75 () (@list @t72 @t71 @t56)) % 0.38/0.60 (define @t76 () (tptp.tyop_2Ebool_2Eitself (tptp.tyop_2Epair_2Eprod @t72 @t71))) % 0.38/0.60 (define @t77 () (tptp.s @t76 @t56)) % 0.38/0.60 (define @t78 () (@var "X0_2E0" tptp.mono_2Etyop_2Erealax_2Ereal)) % 0.38/0.60 (define @t79 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t11))) % 0.38/0.60 (define @t80 () (@var "V1_2E0" tptp.mono_2Etyop_2Erealax_2Ereal)) % 0.38/0.60 (define @t81 () (tptp.s @t68 @t18)) % 0.38/0.60 (define @t82 () (tptp.s @t76 tptp.c_2Ebool_2Ethe__value_2E0)) % 0.38/0.60 (define @t83 () (tptp.s @t73 (tptp.c_2Ebinary__ieee_2Efloat__plus__min_2E1 @t82))) % 0.38/0.60 (define @t84 () (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Eulp_2E1 @t82)))) % 0.38/0.60 (define @t85 () (@list @t72 @t71)) % 0.38/0.60 (define @t86 () (forall @t85 (= (tptp.mono_2Ec_2Erealax_2Ereal__neg_2E1 @t84) (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 (tptp.s @t73 (tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 @t83)))))))) % 0.38/0.60 (define @t87 () (@quantifiers_skolemize @t86 1)) % 0.38/0.60 (define @t88 () (@quantifiers_skolemize @t86 0)) % 0.38/0.60 (define @t89 () (tptp.s (tptp.tyop_2Ebool_2Eitself (tptp.tyop_2Epair_2Eprod @t88 @t87)) tptp.c_2Ebool_2Ethe__value_2E0)) % 0.38/0.60 (define @t90 () (tptp.c_2Ebinary__ieee_2Efloat__plus__min_2E1 @t89)) % 0.38/0.60 (define @t91 () (tptp.tyop_2Ebinary__ieee_2Efloat @t88 @t87)) % 0.38/0.60 (define @t92 () (tptp.s @t91 @t90)) % 0.38/0.60 (define @t93 () (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 @t92)))) % 0.38/0.60 (define @t94 () (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 (tptp.s @t91 (tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 @t92)))))) % 0.38/0.60 (define @t95 () (= @t94 (tptp.mono_2Ec_2Erealax_2Ereal__neg_2E1 @t93))) % 0.38/0.60 (define @t96 () (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Eulp_2E1 @t89)))) % 0.38/0.60 (define @t97 () (= @t96 @t93)) % 0.38/0.60 (define @t98 () (tptp.mono_2Ec_2Erealax_2Ereal__neg_2E1 @t96)) % 0.38/0.60 (define @t99 () (= @t98 @t94)) % 0.38/0.60 (define @t100 () (and @t95 @t97)) % 0.38/0.60 (assume @p1 (forall (@list @t3 @t2 @t6 @t1) (=> (forall (@list @t8) (= (tptp.s @t2 (tptp.app_2E2 @t7 @t9)) @t10)) (= @t7 @t5)))) % 0.38/0.60 (assume @p2 (forall @t15 (=> (= @t14 @t13) (= @t12 @t11)))) % 0.38/0.60 (assume @p3 @t16) % 0.38/0.60 (assume @p4 (not (tptp.p tptp.mono_2Ec_2Ebool_2EF_2E0))) % 0.38/0.60 (assume @p5 (forall (@list @t17) (or (= @t17 tptp.mono_2Ec_2Ebool_2ET_2E0) (= @t17 tptp.mono_2Ec_2Ebool_2EF_2E0)))) % 0.38/0.60 (assume @p6 (forall @t20 (= (tptp.s @t3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t3) tptp.combin_i_2E0) @t19)) @t19))) % 0.38/0.60 (assume @p7 (forall (@list @t3 @t2 @t18 @t21) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t22 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t22) tptp.combin_k_2E0) @t19)) (tptp.s @t2 @t21))) @t19))) % 0.38/0.60 (assume @p8 (forall (@list @t3 @t2 @t23 @t6 @t1 @t8) (= (tptp.s @t23 (tptp.app_2E2 (tptp.s @t27 (tptp.app_2E2 (tptp.s @t28 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t25 @t28) tptp.combin_s_2E0) @t26)) @t5)) @t9)) (tptp.s @t23 (tptp.app_2E2 (tptp.s @t24 (tptp.app_2E2 @t26 @t9)) @t10))))) % 0.38/0.60 (assume @p9 (forall @t15 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_2F_5C_2E2 @t12 @t11)) (and @t14 @t13)))) % 0.38/0.60 (assume @p10 (forall @t15 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_5C_2F_2E2 @t12 @t11)) (or @t14 @t13)))) % 0.38/0.60 (assume @p11 (forall @t29 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_7E_2E1 @t12)) (not @t14)))) % 0.38/0.60 (assume @p12 (forall @t15 (= (tptp.p (tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E2 @t12 @t11)) (=> @t14 @t13)))) % 0.38/0.60 (assume @p13 (forall (@list @t3 @t32 @t30) (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 @t33 @t31)))) (= @t33 @t31)))) % 0.38/0.60 (assume @p14 (forall @t39 (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t36)))) (forall @t38 @t37)))) % 0.38/0.60 (assume @p15 (forall @t39 (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t36)))) (exists @t38 @t37)))) % 0.38/0.60 (assume @p16 (forall @t41 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.j_mono_2Etyop_2Emin_2Ebool @t40))) @t40))) % 0.38/0.60 (assume @p17 (forall @t41 (= (tptp.s @t42 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t43))) @t43))) % 0.38/0.60 (assume @p18 (forall @t41 (= (tptp.s @t44 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t45))) @t45))) % 0.38/0.60 (assume @p19 (forall @t41 (= (tptp.s @t46 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @t47))) @t47))) % 0.38/0.60 (assume @p20 (forall @t41 (= (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.i_mono_2Etyop_2Erealax_2Ereal (tptp.j_mono_2Etyop_2Erealax_2Ereal @t48))) @t48))) % 0.38/0.60 (assume @p21 (forall @t29 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t12))) @t12))) % 0.38/0.60 (assume @p22 (forall (@list @t49) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t50) @t49))) % 0.38/0.60 (assume @p23 (forall (@list @t51) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t52) @t51))) % 0.38/0.60 (assume @p24 (forall (@list @t53) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @t54) @t53))) % 0.38/0.60 (assume @p25 (forall (@list @t55) (= (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.i_mono_2Etyop_2Erealax_2Ereal @t55))) @t55))) % 0.38/0.60 (assume @p26 (forall @t59 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t57))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t58 tptp.c_2Ebool_2E_21_2E0) @t57)))))) % 0.38/0.60 (assume @p27 (forall @t64 (= (and @t63 @t62) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Ebool_2E_2F_5C_2E0 @t61) @t60))))) % 0.38/0.60 (assume @p28 (forall (@list @t3 @t56 @t65) (= (= @t67 @t66) (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t35 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t35) tptp.c_2Emin_2E_3D_2E0) @t67)) @t66))))))) % 0.38/0.60 (assume @p29 (forall @t64 (= (=> @t63 @t62) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E0 @t61) @t60))))) % 0.38/0.60 (assume @p30 (forall @t59 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t57))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t58 tptp.c_2Ebool_2E_3F_2E0) @t57)))))) % 0.38/0.60 (assume @p31 (forall @t64 (= (or @t63 @t62) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Ebool_2E_5C_2F_2E0 @t61) @t60))))) % 0.38/0.60 (assume @p32 (forall @t70 (= (tptp.s @t68 (tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 @t69)) (tptp.s @t68 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t68 @t68) tptp.c_2Ebinary__ieee_2Efloat__negate_2E0) @t69))))) % 0.38/0.60 (assume @p33 (forall @t75 (= (tptp.s @t73 (tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 @t74)) (tptp.s @t73 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t73 @t73) tptp.c_2Ebinary__ieee_2Efloat__negate_2E0) @t74))))) % 0.38/0.60 (assume @p34 (forall @t75 (= (tptp.s @t73 (tptp.c_2Ebinary__ieee_2Efloat__plus__min_2E1 @t77)) (tptp.s @t73 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t76 @t73) tptp.c_2Ebinary__ieee_2Efloat__plus__min_2E0) @t77))))) % 0.38/0.60 (assume @p35 (forall @t70 (= (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 @t69))) (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t68 tptp.tyop_2Erealax_2Ereal) tptp.c_2Ebinary__ieee_2Efloat__to__real_2E0) @t69)))))) % 0.38/0.60 (assume @p36 (forall @t75 (= (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 @t74))) (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t73 tptp.tyop_2Erealax_2Ereal) tptp.c_2Ebinary__ieee_2Efloat__to__real_2E0) @t74)))))) % 0.38/0.60 (assume @p37 (forall (@list @t78) (= (tptp.mono_2Ec_2Erealax_2Ereal__neg_2E1 @t78) (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal tptp.mono_2Ec_2Erealax_2Ereal__neg_2E0 @t78)))) % 0.38/0.60 (assume @p38 (forall @t75 (= (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Eulp_2E1 @t77))) (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t76 tptp.tyop_2Erealax_2Ereal) tptp.c_2Ebinary__ieee_2Eulp_2E0) @t77)))))) % 0.38/0.60 (assume @p39 (forall (@list @t61) (= (not @t63) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2E_7E_2E0 @t61))))) % 0.38/0.60 (assume @p40 (forall (@list @t49 @t11) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool @t49 @t11))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t50 @t79))))) % 0.38/0.60 (assume @p41 (forall (@list @t51 @t11) (= (tptp.s @t42 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t51 @t11))) (tptp.s @t42 (tptp.app_2E2 @t52 @t79))))) % 0.38/0.60 (assume @p42 (forall (@list @t53 @t80) (= (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.i_mono_2Etyop_2Erealax_2Ereal (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal @t53 @t80))) (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.app_2E2 @t54 (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.i_mono_2Etyop_2Erealax_2Ereal @t80))))))) % 0.38/0.60 (assume @p43 (forall (@list @t3 @t2 @t18) (= (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 (tptp.s @t68 (tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 @t81))))) (tptp.mono_2Ec_2Erealax_2Ereal__neg_2E1 (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 @t81))))))) % 0.38/0.60 (assume @p44 (forall @t85 (= @t84 (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 @t83)))))) % 0.38/0.60 (assume @p45 (forall @t20 (= (= @t19 @t19) @t16))) % 0.38/0.60 (assume @p46 (not @t86)) % 0.38/0.60 (assume @p47 true) % 0.38/0.60 (step @p48 :rule skolemize :premises (@p46)) % 0.38/0.60 (step @p49 :rule instantiate :premises (@p43) :args ((@list @t88 @t87 @t90))) % 0.38/0.60 (step @p50 :rule instantiate :premises (@p44) :args ((@list @t88 @t87))) % 0.38/0.60 (assume-push @p64 @t95) % 0.38/0.60 (assume-push @p65 @t97) % 0.38/0.60 (step @p53 :rule symm :premises (@p49)) % 0.38/0.60 (step @p54 :rule cong :premises (@p50) :args (@t98)) % 0.38/0.60 (step @p55 :rule trans :premises (@p54 @p53)) % 0.38/0.60 (step-pop @p66 :rule scope :premises (@p55)) % 0.38/0.60 (step-pop @p67 :rule scope :premises (@p66)) % 0.38/0.60 (step @p56 :rule process_scope :premises (@p67) :args (@t99)) % 0.38/0.60 (step @p59 :rule implies_elim :premises (@p56)) % 0.38/0.60 (step @p60 :rule cnf_and_neg :args (@t100)) % 0.38/0.60 (step @p61 :rule resolution :premises (@p60 @p59) :args (true @t100)) % 0.38/0.60 (step @p62 :rule reordering :premises (@p61) :args ((or @t99 (not @t95) (not @t97)))) % 0.38/0.60 (step @p63 false :rule chain_m_resolution :premises (@p62 @p50 @p49 @p48) :args (false (@list false false true) (@list @t97 @t95 @t99))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------