%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP018^1 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 0.35s 0.66s % Output : Proof 0.35s % 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/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n007.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 03:57:11 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.53 %----Proving TH0 % 0.35/0.66 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.35/0.66 % SZS status Theorem % 0.35/0.66 % SZS output start Proof % 0.35/0.66 ( % 0.35/0.66 (declare-sort tptp.mono_2Etyop_2Erealax_2Ereal 0) % 0.35/0.66 (declare-sort tptp.u 0) % 0.35/0.66 (declare-sort tptp.du 0) % 0.35/0.66 (declare-sort tptp.d 0) % 0.35/0.66 (declare-const tptp.mono_2Ec_2Ebool_2ET Bool) % 0.35/0.66 (declare-const tptp.c_2Ebool_2Ethe__value_2E0 tptp.u) % 0.35/0.66 (declare-const tptp.mono_2Ec_2Erealax_2Ereal__neg (-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal)) % 0.35/0.66 (declare-const tptp.c_2Ebinary__ieee_2Eulp_2E1 (-> tptp.du tptp.u)) % 0.35/0.66 (declare-const tptp.c_2Ebinary__ieee_2Eulp_2E0 tptp.u) % 0.35/0.66 (declare-const tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 (-> tptp.du tptp.u)) % 0.35/0.66 (declare-const tptp.c_2Ebinary__ieee_2Efloat__to__real_2E0 tptp.u) % 0.35/0.66 (declare-const tptp.c_2Ebinary__ieee_2Efloat__plus__min_2E1 (-> tptp.du tptp.u)) % 0.35/0.66 (declare-const tptp.c_2Ebinary__ieee_2Efloat__plus__min_2E0 tptp.u) % 0.35/0.66 (declare-const tptp.tyop_2Epair_2Eprod (-> tptp.d tptp.d tptp.d)) % 0.35/0.66 (declare-const tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 (-> tptp.du tptp.u)) % 0.35/0.66 (declare-const tptp.c_2Ebinary__ieee_2Efloat__negate_2E0 tptp.u) % 0.35/0.66 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> tptp.du tptp.du tptp.u)) % 0.35/0.66 (declare-const tptp.mono_2Ec_2Ebool_2E_7E (-> Bool Bool)) % 0.35/0.66 (declare-const tptp.tyop_2Emin_2Ebool tptp.d) % 0.35/0.66 (declare-const tptp.tyop_2Ebool_2Eitself (-> tptp.d tptp.d)) % 0.35/0.66 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> (-> Bool Bool) tptp.u)) % 0.35/0.66 (declare-const tptp.mono_2Ec_2Ebool_2E_5C_2F (-> Bool Bool Bool)) % 0.35/0.66 (declare-const tptp.mono_2Ec_2Emin_2E_3D_3D_3E (-> Bool Bool Bool)) % 0.35/0.66 (declare-const tptp.c_2Ebool_2E_3F_2E0 tptp.u) % 0.35/0.66 (declare-const tptp.combin_s_2E0 tptp.u) % 0.35/0.66 (declare-const tptp.mono_2Ec_2Ebool_2E_2F_5C (-> Bool Bool Bool)) % 0.35/0.66 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.du Bool Bool)) % 0.35/0.66 (declare-const tptp.combin_k_2E0 tptp.u) % 0.35/0.66 (declare-const tptp.combin_i_2E0 tptp.u) % 0.35/0.66 (declare-const tptp.j_mono_2Etyop_2Emin_2Ebool (-> tptp.du Bool)) % 0.35/0.66 (declare-const tptp.app_2E2 (-> tptp.du tptp.du tptp.u)) % 0.35/0.66 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> tptp.du tptp.u)) % 0.35/0.66 (declare-const tptp.tyop_2Emin_2Efun (-> tptp.d tptp.d tptp.d)) % 0.35/0.66 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (-> (-> Bool Bool Bool) tptp.u)) % 0.35/0.66 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> tptp.du tptp.u)) % 0.35/0.66 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (-> tptp.du tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal)) % 0.35/0.66 (declare-const tptp.tyop_2Erealax_2Ereal tptp.d) % 0.35/0.66 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (-> (-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal) tptp.u)) % 0.35/0.66 (declare-const tptp.j_mono_2Etyop_2Erealax_2Ereal (-> tptp.du tptp.mono_2Etyop_2Erealax_2Ereal)) % 0.35/0.66 (declare-const tptp.c_2Emin_2E_3D_2E0 tptp.u) % 0.35/0.66 (declare-const tptp.s (-> tptp.d tptp.u tptp.du)) % 0.35/0.66 (declare-const tptp.i_mono_2Etyop_2Erealax_2Ereal (-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.u)) % 0.35/0.66 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.du Bool Bool Bool)) % 0.35/0.66 (declare-const tptp.c_2Ebool_2E_21_2E0 tptp.u) % 0.35/0.66 (declare-const tptp.i_mono_2Etyop_2Emin_2Ebool (-> Bool tptp.u)) % 0.35/0.66 (declare-const tptp.tyop_2Ebinary__ieee_2Efloat (-> tptp.d tptp.d tptp.d)) % 0.35/0.66 (define @t1 () (@var "V1g_2E0" tptp.u)) % 0.35/0.66 (define @t2 () (@var "A_27b" tptp.d)) % 0.35/0.66 (define @t3 () (@var "A_27a" tptp.d)) % 0.35/0.66 (define @t4 () (_ tptp.tyop_2Emin_2Efun @t3)) % 0.35/0.66 (define @t5 () (_ @t4 @t2)) % 0.35/0.66 (define @t6 () (_ tptp.s @t5)) % 0.35/0.66 (define @t7 () (_ @t6 @t1)) % 0.35/0.66 (define @t8 () (@var "V0f_2E0" tptp.u)) % 0.35/0.66 (define @t9 () (_ @t6 @t8)) % 0.35/0.66 (define @t10 () (@var "V2x_2E0" tptp.u)) % 0.35/0.66 (define @t11 () (_ tptp.s @t3)) % 0.35/0.66 (define @t12 () (_ @t11 @t10)) % 0.35/0.66 (define @t13 () (_ tptp.s @t2)) % 0.35/0.66 (define @t14 () (_ @t13 (_ (_ tptp.app_2E2 @t7) @t12))) % 0.35/0.66 (define @t15 () (@var "V0x_2E0" tptp.u)) % 0.35/0.66 (define @t16 () (_ @t11 @t15)) % 0.35/0.66 (define @t17 () (@list @t3 @t15)) % 0.35/0.66 (define @t18 () (@var "V1y_2E0" tptp.u)) % 0.35/0.66 (define @t19 () (_ tptp.tyop_2Emin_2Efun @t2)) % 0.35/0.66 (define @t20 () (_ @t19 @t3)) % 0.35/0.66 (define @t21 () (@var "A_27c" tptp.d)) % 0.35/0.66 (define @t22 () (_ @t19 @t21)) % 0.35/0.66 (define @t23 () (_ @t4 @t22)) % 0.35/0.66 (define @t24 () (_ (_ tptp.s @t23) @t8)) % 0.35/0.66 (define @t25 () (_ tptp.s @t21)) % 0.35/0.66 (define @t26 () (_ @t4 @t21)) % 0.35/0.66 (define @t27 () (_ (_ tptp.tyop_2Emin_2Efun @t5) @t26)) % 0.35/0.66 (define @t28 () (@var "V1" Bool)) % 0.35/0.66 (define @t29 () (@var "V0" Bool)) % 0.35/0.66 (define @t30 () (@list @t29 @t28)) % 0.35/0.66 (define @t31 () (@list @t29)) % 0.35/0.66 (define @t32 () (@var "V1_2E0" tptp.u)) % 0.35/0.66 (define @t33 () (_ @t11 @t32)) % 0.35/0.66 (define @t34 () (@var "V0_2E0" tptp.u)) % 0.35/0.66 (define @t35 () (_ @t11 @t34)) % 0.35/0.66 (define @t36 () (_ tptp.s tptp.tyop_2Emin_2Ebool)) % 0.35/0.66 (define @t37 () (@var "V1x_2E0" tptp.u)) % 0.35/0.66 (define @t38 () (_ @t4 tptp.tyop_2Emin_2Ebool)) % 0.35/0.66 (define @t39 () (_ tptp.s @t38)) % 0.35/0.66 (define @t40 () (_ @t39 @t8)) % 0.35/0.66 (define @t41 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ (_ tptp.app_2E2 @t40) (_ @t11 @t37))))) % 0.35/0.66 (define @t42 () (@list @t37)) % 0.35/0.66 (define @t43 () (@list @t3 @t8)) % 0.35/0.66 (define @t44 () (_ @t36 @t34)) % 0.35/0.66 (define @t45 () (@list @t34)) % 0.35/0.66 (define @t46 () (_ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool)) % 0.35/0.66 (define @t47 () (_ @t46 tptp.tyop_2Emin_2Ebool)) % 0.35/0.66 (define @t48 () (_ tptp.s @t47)) % 0.35/0.66 (define @t49 () (_ @t48 @t34)) % 0.35/0.66 (define @t50 () (_ tptp.s (_ @t46 @t47))) % 0.35/0.66 (define @t51 () (_ @t50 @t34)) % 0.35/0.66 (define @t52 () (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal) tptp.tyop_2Erealax_2Ereal))) % 0.35/0.66 (define @t53 () (_ @t52 @t34)) % 0.35/0.66 (define @t54 () (_ tptp.s tptp.tyop_2Erealax_2Ereal)) % 0.35/0.66 (define @t55 () (_ @t54 @t34)) % 0.35/0.66 (define @t56 () (@var "V0" (-> Bool Bool))) % 0.35/0.66 (define @t57 () (_ @t48 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t56))) % 0.35/0.66 (define @t58 () (@var "V0" (-> Bool Bool Bool))) % 0.35/0.66 (define @t59 () (_ @t50 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t58))) % 0.35/0.66 (define @t60 () (@var "V0" (-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal))) % 0.35/0.66 (define @t61 () (_ @t52 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @t60))) % 0.35/0.66 (define @t62 () (@var "V0" tptp.mono_2Etyop_2Erealax_2Ereal)) % 0.35/0.66 (define @t63 () (@var "X0_2E0" tptp.u)) % 0.35/0.66 (define @t64 () (_ @t39 @t63)) % 0.35/0.66 (define @t65 () (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t38) tptp.tyop_2Emin_2Ebool))) % 0.35/0.66 (define @t66 () (@list @t3 @t63)) % 0.35/0.66 (define @t67 () (@var "X1_2E0" tptp.u)) % 0.35/0.66 (define @t68 () (_ @t11 @t67)) % 0.35/0.66 (define @t69 () (_ @t11 @t63)) % 0.35/0.66 (define @t70 () (_ (_ tptp.tyop_2Ebinary__ieee_2Efloat @t3) @t2)) % 0.35/0.66 (define @t71 () (_ tptp.s @t70)) % 0.35/0.66 (define @t72 () (_ @t71 @t63)) % 0.35/0.66 (define @t73 () (_ tptp.tyop_2Emin_2Efun @t70)) % 0.35/0.66 (define @t74 () (@list @t3 @t2 @t63)) % 0.35/0.66 (define @t75 () (@var "A_27w" tptp.d)) % 0.35/0.66 (define @t76 () (@var "A_27t" tptp.d)) % 0.35/0.66 (define @t77 () (_ (_ tptp.tyop_2Ebinary__ieee_2Efloat @t76) @t75)) % 0.35/0.66 (define @t78 () (_ tptp.s @t77)) % 0.35/0.66 (define @t79 () (_ @t78 @t63)) % 0.35/0.66 (define @t80 () (_ tptp.tyop_2Emin_2Efun @t77)) % 0.35/0.66 (define @t81 () (@list @t76 @t75 @t63)) % 0.35/0.66 (define @t82 () (_ (_ tptp.tyop_2Epair_2Eprod @t76) @t75)) % 0.35/0.66 (define @t83 () (_ tptp.tyop_2Ebool_2Eitself @t82)) % 0.35/0.66 (define @t84 () (_ tptp.s @t83)) % 0.35/0.66 (define @t85 () (_ @t84 @t63)) % 0.35/0.66 (define @t86 () (_ tptp.tyop_2Emin_2Efun @t83)) % 0.35/0.66 (define @t87 () (_ @t36 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t28))) % 0.35/0.66 (define @t88 () (_ @t56 @t28)) % 0.35/0.66 (define @t89 () (@list @t56 @t28)) % 0.35/0.66 (define @t90 () (_ @t58 @t28)) % 0.35/0.66 (define @t91 () (@list @t58 @t28)) % 0.35/0.66 (define @t92 () (@var "V1" tptp.mono_2Etyop_2Erealax_2Ereal)) % 0.35/0.66 (define @t93 () (_ @t60 @t92)) % 0.35/0.66 (define @t94 () (@list @t60 @t92)) % 0.35/0.66 (define @t95 () (_ @t71 @t15)) % 0.35/0.66 (define @t96 () (_ tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 @t95)) % 0.35/0.66 (define @t97 () (_ @t54 @t96)) % 0.35/0.66 (define @t98 () (_ tptp.j_mono_2Etyop_2Erealax_2Ereal @t97)) % 0.35/0.66 (define @t99 () (_ tptp.mono_2Ec_2Erealax_2Ereal__neg @t98)) % 0.35/0.66 (define @t100 () (_ tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 @t95)) % 0.35/0.66 (define @t101 () (_ @t71 @t100)) % 0.35/0.66 (define @t102 () (_ tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 @t101)) % 0.35/0.66 (define @t103 () (_ @t54 @t102)) % 0.35/0.66 (define @t104 () (_ tptp.j_mono_2Etyop_2Erealax_2Ereal @t103)) % 0.35/0.66 (define @t105 () (= @t104 @t99)) % 0.35/0.66 (define @t106 () (forall (@list @t3 @t2 @t15) @t105)) % 0.35/0.66 (define @t107 () (_ @t84 tptp.c_2Ebool_2Ethe__value_2E0)) % 0.35/0.66 (define @t108 () (_ tptp.c_2Ebinary__ieee_2Efloat__plus__min_2E1 @t107)) % 0.35/0.66 (define @t109 () (_ @t78 @t108)) % 0.35/0.66 (define @t110 () (_ tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 @t109)) % 0.35/0.66 (define @t111 () (_ @t54 @t110)) % 0.35/0.66 (define @t112 () (_ tptp.j_mono_2Etyop_2Erealax_2Ereal @t111)) % 0.35/0.66 (define @t113 () (_ tptp.c_2Ebinary__ieee_2Eulp_2E1 @t107)) % 0.35/0.66 (define @t114 () (_ @t54 @t113)) % 0.35/0.66 (define @t115 () (_ tptp.j_mono_2Etyop_2Erealax_2Ereal @t114)) % 0.35/0.66 (define @t116 () (= @t115 @t112)) % 0.35/0.66 (define @t117 () (@list @t76 @t75)) % 0.35/0.66 (define @t118 () (forall @t117 @t116)) % 0.35/0.66 (define @t119 () (_ tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 @t109)) % 0.35/0.66 (define @t120 () (_ @t78 @t119)) % 0.35/0.66 (define @t121 () (_ tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 @t120)) % 0.35/0.66 (define @t122 () (_ @t54 @t121)) % 0.35/0.66 (define @t123 () (_ tptp.j_mono_2Etyop_2Erealax_2Ereal @t122)) % 0.35/0.66 (define @t124 () (_ tptp.mono_2Ec_2Erealax_2Ereal__neg @t115)) % 0.35/0.66 (define @t125 () (= @t124 @t123)) % 0.35/0.66 (define @t126 () (forall @t117 @t125)) % 0.35/0.66 (define @t127 () (not @t126)) % 0.35/0.66 (define @t128 () (tptp.tyop_2Epair_2Eprod @t76 @t75)) % 0.35/0.66 (define @t129 () (tptp.tyop_2Ebool_2Eitself @t128)) % 0.35/0.66 (define @t130 () (tptp.s @t129 tptp.c_2Ebool_2Ethe__value_2E0)) % 0.35/0.66 (define @t131 () (tptp.c_2Ebinary__ieee_2Efloat__plus__min_2E1 @t130)) % 0.35/0.66 (define @t132 () (tptp.tyop_2Ebinary__ieee_2Efloat @t76 @t75)) % 0.35/0.66 (define @t133 () (tptp.s @t132 @t131)) % 0.35/0.66 (define @t134 () (tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 @t133)) % 0.35/0.66 (define @t135 () (tptp.s @t132 @t134)) % 0.35/0.66 (define @t136 () (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 @t135)) % 0.35/0.66 (define @t137 () (tptp.s tptp.tyop_2Erealax_2Ereal @t136)) % 0.35/0.66 (define @t138 () (tptp.j_mono_2Etyop_2Erealax_2Ereal @t137)) % 0.35/0.66 (define @t139 () (_ tptp.s @t132)) % 0.35/0.66 (define @t140 () (tptp.c_2Ebinary__ieee_2Eulp_2E1 @t130)) % 0.35/0.66 (define @t141 () (tptp.s tptp.tyop_2Erealax_2Ereal @t140)) % 0.35/0.66 (define @t142 () (tptp.j_mono_2Etyop_2Erealax_2Ereal @t141)) % 0.35/0.66 (define @t143 () (tptp.mono_2Ec_2Erealax_2Ereal__neg @t142)) % 0.35/0.66 (define @t144 () (tptp.tyop_2Ebinary__ieee_2Efloat @t3 @t2)) % 0.35/0.66 (define @t145 () (tptp.s @t144 @t15)) % 0.35/0.66 (define @t146 () (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 @t145)) % 0.35/0.66 (define @t147 () (tptp.s tptp.tyop_2Erealax_2Ereal @t146)) % 0.35/0.66 (define @t148 () (tptp.j_mono_2Etyop_2Erealax_2Ereal @t147)) % 0.35/0.66 (define @t149 () (tptp.mono_2Ec_2Erealax_2Ereal__neg @t148)) % 0.35/0.66 (define @t150 () (_ tptp.s @t144)) % 0.35/0.66 (define @t151 () (tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 @t145)) % 0.35/0.66 (define @t152 () (tptp.s @t144 @t151)) % 0.35/0.66 (define @t153 () (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 @t152)) % 0.35/0.66 (define @t154 () (tptp.s tptp.tyop_2Erealax_2Ereal @t153)) % 0.35/0.66 (define @t155 () (tptp.j_mono_2Etyop_2Erealax_2Ereal @t154)) % 0.35/0.66 (define @t156 () (forall @t117 (= @t143 @t138))) % 0.35/0.66 (define @t157 () (@quantifiers_skolemize @t156 1)) % 0.35/0.66 (define @t158 () (@quantifiers_skolemize @t156 0)) % 0.35/0.66 (define @t159 () (tptp.s (tptp.tyop_2Ebool_2Eitself (tptp.tyop_2Epair_2Eprod @t158 @t157)) tptp.c_2Ebool_2Ethe__value_2E0)) % 0.35/0.66 (define @t160 () (tptp.c_2Ebinary__ieee_2Efloat__plus__min_2E1 @t159)) % 0.35/0.66 (define @t161 () (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 @t133)) % 0.35/0.66 (define @t162 () (tptp.s tptp.tyop_2Erealax_2Ereal @t161)) % 0.35/0.66 (define @t163 () (tptp.j_mono_2Etyop_2Erealax_2Ereal @t162)) % 0.35/0.66 (define @t164 () (tptp.tyop_2Ebinary__ieee_2Efloat @t158 @t157)) % 0.35/0.66 (define @t165 () (tptp.s @t164 @t160)) % 0.35/0.66 (define @t166 () (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 @t165)))) % 0.35/0.66 (define @t167 () (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 (tptp.s @t164 (tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 @t165)))))) % 0.35/0.66 (define @t168 () (= @t167 (tptp.mono_2Ec_2Erealax_2Ereal__neg @t166))) % 0.35/0.66 (define @t169 () (tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.s tptp.tyop_2Erealax_2Ereal (tptp.c_2Ebinary__ieee_2Eulp_2E1 @t159)))) % 0.35/0.66 (define @t170 () (= @t169 @t166)) % 0.35/0.66 (define @t171 () (tptp.mono_2Ec_2Erealax_2Ereal__neg @t169)) % 0.35/0.66 (define @t172 () (= @t171 @t167)) % 0.35/0.66 (define @t173 () (and @t168 @t170)) % 0.35/0.66 (assume @p1 (forall (@list @t3 @t2 @t8 @t1) (=> (forall (@list @t10) (= (_ @t13 (_ (_ tptp.app_2E2 @t9) @t12)) @t14)) (= @t9 @t7)))) % 0.35/0.66 (assume @p2 (forall @t17 (= (_ @t11 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t3)) tptp.combin_i_2E0)) @t16)) @t16))) % 0.35/0.66 (assume @p3 (forall (@list @t3 @t2 @t15 @t18) (= (_ @t11 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t20) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t20)) tptp.combin_k_2E0)) @t16))) (_ @t13 @t18))) @t16))) % 0.35/0.66 (assume @p4 (forall (@list @t3 @t2 @t21 @t8 @t1 @t10) (= (_ @t25 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t26) (_ (_ tptp.app_2E2 (_ (_ tptp.s @t27) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t23) @t27)) tptp.combin_s_2E0)) @t24))) @t7))) @t12)) (_ @t25 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t22) (_ (_ tptp.app_2E2 @t24) @t12))) @t14))))) % 0.35/0.66 (assume @p5 (forall @t30 (= (_ (_ tptp.mono_2Ec_2Ebool_2E_2F_5C @t29) @t28) (and @t29 @t28)))) % 0.35/0.66 (assume @p6 (forall @t30 (= (_ (_ tptp.mono_2Ec_2Ebool_2E_5C_2F @t29) @t28) (or @t29 @t28)))) % 0.35/0.66 (assume @p7 (forall @t31 (= (_ tptp.mono_2Ec_2Ebool_2E_7E @t29) (not @t29)))) % 0.35/0.66 (assume @p8 (forall @t30 (= (_ (_ tptp.mono_2Ec_2Emin_2E_3D_3D_3E @t29) @t28) (=> @t29 @t28)))) % 0.35/0.66 (assume @p9 (forall (@list @t3 @t34 @t32) (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ (_ tptp.c_2Emin_2E_3D_2E2 @t35) @t33))) (= @t35 @t33)))) % 0.35/0.66 (assume @p10 (forall @t43 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ tptp.c_2Ebool_2E_21_2E1 @t40))) (forall @t42 @t41)))) % 0.35/0.66 (assume @p11 (forall @t43 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ tptp.c_2Ebool_2E_3F_2E1 @t40))) (exists @t42 @t41)))) % 0.35/0.66 (assume @p12 (forall @t45 (= (_ @t36 (_ tptp.i_mono_2Etyop_2Emin_2Ebool (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t44))) @t44))) % 0.35/0.66 (assume @p13 (forall @t45 (= (_ @t48 (_ 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 @t49))) @t49))) % 0.35/0.66 (assume @p14 (forall @t45 (= (_ @t50 (_ 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 @t51))) @t51))) % 0.35/0.66 (assume @p15 (forall @t45 (= (_ @t52 (_ 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 @t53))) @t53))) % 0.35/0.66 (assume @p16 (forall @t45 (= (_ @t54 (_ tptp.i_mono_2Etyop_2Erealax_2Ereal (_ tptp.j_mono_2Etyop_2Erealax_2Ereal @t55))) @t55))) % 0.35/0.66 (assume @p17 (forall @t31 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t29))) @t29))) % 0.35/0.66 (assume @p18 (forall (@list @t56) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t57) @t56))) % 0.35/0.66 (assume @p19 (forall (@list @t58) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t59) @t58))) % 0.35/0.66 (assume @p20 (forall (@list @t60) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @t61) @t60))) % 0.35/0.66 (assume @p21 (forall (@list @t62) (= (_ tptp.j_mono_2Etyop_2Erealax_2Ereal (_ @t54 (_ tptp.i_mono_2Etyop_2Erealax_2Ereal @t62))) @t62))) % 0.35/0.66 (assume @p22 (forall @t66 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ tptp.c_2Ebool_2E_21_2E1 @t64))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ (_ tptp.app_2E2 (_ @t65 tptp.c_2Ebool_2E_21_2E0)) @t64)))))) % 0.35/0.66 (assume @p23 (forall (@list @t3 @t63 @t67) (= (= @t69 @t68) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ (_ tptp.app_2E2 (_ @t39 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t38)) tptp.c_2Emin_2E_3D_2E0)) @t69))) @t68)))))) % 0.35/0.66 (assume @p24 (forall @t66 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ tptp.c_2Ebool_2E_3F_2E1 @t64))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t36 (_ (_ tptp.app_2E2 (_ @t65 tptp.c_2Ebool_2E_3F_2E0)) @t64)))))) % 0.35/0.66 (assume @p25 (forall @t74 (= (_ @t71 (_ tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 @t72)) (_ @t71 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t73 @t70)) tptp.c_2Ebinary__ieee_2Efloat__negate_2E0)) @t72))))) % 0.35/0.66 (assume @p26 (forall @t81 (= (_ @t78 (_ tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 @t79)) (_ @t78 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t80 @t77)) tptp.c_2Ebinary__ieee_2Efloat__negate_2E0)) @t79))))) % 0.35/0.66 (assume @p27 (forall @t81 (= (_ @t78 (_ tptp.c_2Ebinary__ieee_2Efloat__plus__min_2E1 @t85)) (_ @t78 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t86 @t77)) tptp.c_2Ebinary__ieee_2Efloat__plus__min_2E0)) @t85))))) % 0.35/0.66 (assume @p28 (forall @t74 (= (_ tptp.j_mono_2Etyop_2Erealax_2Ereal (_ @t54 (_ tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 @t72))) (_ tptp.j_mono_2Etyop_2Erealax_2Ereal (_ @t54 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t73 tptp.tyop_2Erealax_2Ereal)) tptp.c_2Ebinary__ieee_2Efloat__to__real_2E0)) @t72)))))) % 0.35/0.66 (assume @p29 (forall @t81 (= (_ tptp.j_mono_2Etyop_2Erealax_2Ereal (_ @t54 (_ tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 @t79))) (_ tptp.j_mono_2Etyop_2Erealax_2Ereal (_ @t54 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t80 tptp.tyop_2Erealax_2Ereal)) tptp.c_2Ebinary__ieee_2Efloat__to__real_2E0)) @t79)))))) % 0.35/0.66 (assume @p30 (forall @t81 (= (_ tptp.j_mono_2Etyop_2Erealax_2Ereal (_ @t54 (_ tptp.c_2Ebinary__ieee_2Eulp_2E1 @t85))) (_ tptp.j_mono_2Etyop_2Erealax_2Ereal (_ @t54 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t86 tptp.tyop_2Erealax_2Ereal)) tptp.c_2Ebinary__ieee_2Eulp_2E0)) @t85)))))) % 0.35/0.66 (assume @p31 (forall @t89 (= (_ @t36 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t88)) (_ @t36 (_ (_ tptp.app_2E2 @t57) @t87))))) % 0.35/0.66 (assume @p32 (forall @t91 (= (_ @t48 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t90)) (_ @t48 (_ (_ tptp.app_2E2 @t59) @t87))))) % 0.35/0.66 (assume @p33 (forall @t94 (= (_ @t54 (_ tptp.i_mono_2Etyop_2Erealax_2Ereal @t93)) (_ @t54 (_ (_ tptp.app_2E2 @t61) (_ @t54 (_ tptp.i_mono_2Etyop_2Erealax_2Ereal @t92))))))) % 0.35/0.66 (assume @p34 (forall @t89 (= @t88 @t88))) % 0.35/0.66 (assume @p35 (forall @t91 (= @t90 @t90))) % 0.35/0.66 (assume @p36 (forall @t94 (= @t93 @t93))) % 0.35/0.66 (assume @p37 @t106) % 0.35/0.66 (assume @p38 @t118) % 0.35/0.66 (assume @p39 tptp.mono_2Ec_2Ebool_2ET) % 0.35/0.66 (assume @p40 (forall @t17 (= (= @t16 @t16) tptp.mono_2Ec_2Ebool_2ET))) % 0.35/0.66 (assume @p41 @t127) % 0.35/0.66 (assume @p42 true) % 0.35/0.66 (step @p43 :rule refl :args ((tptp.j_mono_2Etyop_2Erealax_2Ereal @t122))) % 0.35/0.66 (step @p44 :rule refl :args ((tptp.s tptp.tyop_2Erealax_2Ereal @t121))) % 0.35/0.66 (step @p45 :rule refl :args ((tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 @t120))) % 0.35/0.66 (step @p46 :rule refl :args ((tptp.s @t77 @t119))) % 0.35/0.66 (step @p47 :rule refl :args ((tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 @t109))) % 0.35/0.66 (step @p48 :rule refl :args ((tptp.s @t77 @t108))) % 0.35/0.66 (step @p49 :rule refl :args ((tptp.c_2Ebinary__ieee_2Efloat__plus__min_2E1 @t107))) % 0.35/0.66 (step @p50 :rule refl :args ((tptp.s @t83 tptp.c_2Ebool_2Ethe__value_2E0))) % 0.35/0.66 (step @p51 :rule refl :args (tptp.c_2Ebool_2Ethe__value_2E0)) % 0.35/0.66 (step @p52 :rule refl :args ((tptp.tyop_2Ebool_2Eitself @t82))) % 0.35/0.66 (step @p53 :rule refl :args (@t128)) % 0.35/0.66 (step @p54 :rule cong :premises (@p53) :args (@t129)) % 0.35/0.66 (step @p55 :rule trans :premises (@p54 @p52)) % 0.35/0.66 (step @p56 :rule cong :premises (@p55 @p51) :args (@t130)) % 0.35/0.66 (step @p57 :rule trans :premises (@p56 @p50)) % 0.35/0.66 (step @p58 :rule cong :premises (@p57) :args (@t131)) % 0.35/0.66 (step @p59 :rule trans :premises (@p58 @p49)) % 0.35/0.66 (step @p60 :rule refl :args (@t132)) % 0.35/0.66 (step @p61 :rule cong :premises (@p60 @p59) :args (@t133)) % 0.35/0.66 (step @p62 :rule trans :premises (@p61 @p48)) % 0.35/0.66 (step @p63 :rule cong :premises (@p62) :args (@t134)) % 0.35/0.66 (step @p64 :rule trans :premises (@p63 @p47)) % 0.35/0.66 (step @p65 :rule cong :premises (@p60 @p64) :args (@t135)) % 0.35/0.66 (step @p66 :rule trans :premises (@p65 @p46)) % 0.35/0.66 (step @p67 :rule cong :premises (@p66) :args (@t136)) % 0.35/0.66 (step @p68 :rule trans :premises (@p67 @p45)) % 0.35/0.66 (step @p69 :rule refl :args (tptp.tyop_2Erealax_2Ereal)) % 0.35/0.66 (step @p70 :rule cong :premises (@p69 @p68) :args (@t137)) % 0.35/0.66 (step @p71 :rule trans :premises (@p70 @p44)) % 0.35/0.66 (step @p72 :rule cong :premises (@p71) :args (@t138)) % 0.35/0.66 (step @p73 :rule trans :premises (@p72 @p43)) % 0.35/0.66 (step @p74 :rule refl :args (tptp.j_mono_2Etyop_2Erealax_2Ereal)) % 0.35/0.66 (step @p75 :rule ho_cong :premises (@p74 @p71)) % 0.35/0.66 (step @p76 :rule cong :premises (@p75 @p73) :args ((= (_ tptp.j_mono_2Etyop_2Erealax_2Ereal @t137) @t138))) % 0.35/0.66 (step @p77 :rule symm :premises (@p76)) % 0.35/0.66 (step @p78 :rule refl :args (@t123)) % 0.35/0.66 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.35/0.66 (step @p80 :rule refl :args (@t54)) % 0.35/0.66 (step @p81 :rule ho_cong :premises (@p80 @p68)) % 0.35/0.66 (step @p82 :rule cong :premises (@p81 @p71) :args ((= (_ @t54 @t136) @t137))) % 0.35/0.66 (step @p83 :rule symm :premises (@p82)) % 0.35/0.66 (step @p84 :rule refl :args (@t122)) % 0.35/0.66 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.35/0.66 (step @p86 :rule refl :args (tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1)) % 0.35/0.66 (step @p87 :rule ho_cong :premises (@p86 @p66)) % 0.35/0.66 (step @p88 :rule cong :premises (@p87 @p68) :args ((= (_ tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 @t135) @t136))) % 0.35/0.66 (step @p89 :rule symm :premises (@p88)) % 0.35/0.66 (step @p90 :rule refl :args (@t121)) % 0.35/0.66 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.35/0.66 (step @p92 :rule refl :args (tptp.s)) % 0.35/0.66 (step @p93 :rule ho_cong :premises (@p92 @p60)) % 0.35/0.66 (step @p94 :rule ho_cong :premises (@p93 @p64)) % 0.35/0.66 (step @p95 :rule cong :premises (@p94 @p66) :args ((= (_ @t139 @t134) @t135))) % 0.35/0.66 (step @p96 :rule symm :premises (@p95)) % 0.35/0.66 (step @p97 :rule refl :args (@t120)) % 0.35/0.66 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.35/0.66 (step @p99 :rule refl :args (tptp.c_2Ebinary__ieee_2Efloat__negate_2E1)) % 0.35/0.66 (step @p100 :rule ho_cong :premises (@p99 @p62)) % 0.35/0.66 (step @p101 :rule cong :premises (@p100 @p64) :args ((= (_ tptp.c_2Ebinary__ieee_2Efloat__negate_2E1 @t133) @t134))) % 0.35/0.66 (step @p102 :rule symm :premises (@p101)) % 0.35/0.66 (step @p103 :rule refl :args (@t119)) % 0.35/0.66 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.35/0.66 (step @p105 :rule ho_cong :premises (@p93 @p59)) % 0.35/0.66 (step @p106 :rule cong :premises (@p105 @p62) :args ((= (_ @t139 @t131) @t133))) % 0.35/0.66 (step @p107 :rule symm :premises (@p106)) % 0.35/0.66 (step @p108 :rule refl :args (@t109)) % 0.35/0.66 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 0.35/0.66 (step @p110 :rule refl :args (tptp.c_2Ebinary__ieee_2Efloat__plus__min_2E1)) % 0.35/0.66 (step @p111 :rule ho_cong :premises (@p110 @p57)) % 0.35/0.66 (step 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(@p330)) % 0.35/0.66 (step @p332 :rule refl :args (@t111)) % 0.35/0.66 (step @p333 :rule eq_resolve :premises (@p332 @p331)) % 0.35/0.66 (step @p334 :rule ho_cong :premises (@p86 @p62)) % 0.35/0.66 (step @p335 :rule cong :premises (@p334 @p319) :args ((= (_ tptp.c_2Ebinary__ieee_2Efloat__to__real_2E1 @t133) @t161))) % 0.35/0.66 (step @p336 :rule symm :premises (@p335)) % 0.35/0.66 (step @p337 :rule refl :args (@t110)) % 0.35/0.66 (step @p338 :rule eq_resolve :premises (@p337 @p336)) % 0.35/0.66 (step @p339 :rule ho_cong :premises (@p86 @p145)) % 0.35/0.66 (step @p340 :rule trans :premises (@p339 @p338)) % 0.35/0.66 (step @p341 :rule ho_cong :premises (@p80 @p340)) % 0.35/0.66 (step @p342 :rule trans :premises (@p341 @p333)) % 0.35/0.66 (step @p343 :rule ho_cong :premises (@p74 @p342)) % 0.35/0.66 (step @p344 :rule trans :premises (@p343 @p328)) % 0.35/0.66 (step @p345 :rule cong :premises (@p195 @p344) :args (@t116)) % 0.35/0.66 (step @p346 :rule cong :premises (@p345) :args (@t118)) % 0.35/0.66 (step @p347 :rule eq_resolve :premises (@p38 @p346)) % 0.35/0.66 (step @p348 :rule instantiate :premises (@p347) :args ((@list @t158 @t157))) % 0.35/0.66 (assume-push @p362 @t168) % 0.35/0.66 (assume-push @p363 @t170) % 0.35/0.66 (step @p351 :rule symm :premises (@p314)) % 0.35/0.66 (step @p352 :rule cong :premises (@p348) :args (@t171)) % 0.35/0.66 (step @p353 :rule trans :premises (@p352 @p351)) % 0.35/0.66 (step-pop @p364 :rule scope :premises (@p353)) % 0.35/0.66 (step-pop @p365 :rule scope :premises (@p364)) % 0.35/0.66 (step @p354 :rule process_scope :premises (@p365) :args (@t172)) % 0.35/0.66 (step @p357 :rule implies_elim :premises (@p354)) % 0.35/0.66 (step @p358 :rule cnf_and_neg :args (@t173)) % 0.35/0.66 (step @p359 :rule resolution :premises (@p358 @p357) :args (true @t173)) % 0.35/0.66 (step @p360 :rule reordering :premises (@p359) :args ((or @t172 (not @t168) (not @t170)))) % 0.35/0.66 (step @p361 false :rule chain_m_resolution :premises (@p360 @p348 @p314 @p202) :args (false (@list false false true) (@list @t170 @t168 @t172))) % 0.35/0.66 ) % 0.35/0.66 % SZS output end Proof % 0.35/0.66 % cvc5 exiting %------------------------------------------------------------------------------