%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP006_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 : 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 : 300s % DateTime : Wed Jun 3 08:24:25 AM UTC 2026 % Result : Theorem 0.35s 0.71s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP006_1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n023.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 03:40:43 EDT 2026 % 0.17/0.34 % CPUTime : % 0.25/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.71 % SZS status Theorem % 0.35/0.71 % SZS output start Proof % 0.35/0.71 ( % 0.35/0.71 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 0) % 0.35/0.71 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 0) % 0.35/0.71 (declare-sort tptp.mono_2Etyop_2Emin_2Ebool 0) % 0.35/0.71 (declare-sort tptp.d 0) % 0.35/0.71 (declare-sort tptp.u 0) % 0.35/0.71 (declare-sort tptp.du 0) % 0.35/0.71 (declare-const tptp.mono_2Ec_2Ebool_2E_7E_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29) % 0.35/0.71 (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) % 0.35/0.71 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 (-> tptp.du tptp.du tptp.u)) % 0.35/0.71 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0 tptp.u) % 0.35/0.71 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 (-> tptp.du tptp.du tptp.u)) % 0.35/0.71 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0 tptp.u) % 0.35/0.71 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 (-> tptp.du tptp.du tptp.u)) % 0.35/0.71 (declare-const tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E0 tptp.u) % 0.35/0.71 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 (-> tptp.du tptp.du tptp.u)) % 0.35/0.71 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0 tptp.u) % 0.35/0.71 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 (-> tptp.du tptp.du tptp.u)) % 0.35/0.71 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0 tptp.u) % 0.35/0.71 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2 (-> tptp.du tptp.du tptp.u)) % 0.35/0.71 (declare-const tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E0 tptp.u) % 0.35/0.71 (declare-const tptp.c_2Ebool_2E_3F_2E0 tptp.u) % 0.35/0.71 (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)) % 0.35/0.71 (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)) % 0.35/0.71 (declare-const tptp.combin_k_2E0 tptp.u) % 0.35/0.71 (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)) % 0.35/0.71 (declare-const tptp.combin_i_2E0 tptp.u) % 0.35/0.71 (declare-const tptp.combin_s_2E0 tptp.u) % 0.35/0.71 (declare-const tptp.mono_2Ec_2Ebool_2EF_2E0 tptp.mono_2Etyop_2Emin_2Ebool) % 0.35/0.71 (declare-const tptp.mono_2Ec_2Ebool_2ET_2E0 tptp.mono_2Etyop_2Emin_2Ebool) % 0.35/0.71 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> tptp.du tptp.u)) % 0.35/0.71 (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)) % 0.35/0.71 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> tptp.du tptp.du tptp.u)) % 0.35/0.71 (declare-const tptp.p (-> tptp.mono_2Etyop_2Emin_2Ebool Bool)) % 0.35/0.71 (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)) % 0.35/0.71 (declare-const tptp.app_2E2 (-> tptp.du tptp.du tptp.u)) % 0.35/0.71 (declare-const tptp.j_mono_2Etyop_2Emin_2Ebool (-> tptp.du tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (declare-const tptp.mono_2Ec_2Ebool_2E_7E_2E1 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (declare-const tptp.s (-> tptp.d tptp.u tptp.du)) % 0.35/0.71 (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)) % 0.35/0.71 (declare-const tptp.tyop_2Emin_2Efun (-> tptp.d tptp.d tptp.d)) % 0.35/0.71 (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)) % 0.35/0.71 (declare-const tptp.tyop_2Emin_2Ebool tptp.d) % 0.35/0.71 (declare-const tptp.i_mono_2Etyop_2Emin_2Ebool (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.u)) % 0.35/0.71 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> tptp.du tptp.u)) % 0.35/0.71 (declare-const tptp.c_2Ebool_2E_21_2E0 tptp.u) % 0.35/0.71 (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) % 0.35/0.71 (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)) % 0.35/0.71 (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)) % 0.35/0.71 (declare-const tptp.c_2Emin_2E_3D_2E0 tptp.u) % 0.35/0.71 (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) % 0.35/0.71 (define @t1 () (@var "V1g_2E0" tptp.u)) % 0.35/0.71 (define @t2 () (@var "A_27b" tptp.d)) % 0.35/0.71 (define @t3 () (@var "A_27a" tptp.d)) % 0.35/0.71 (define @t4 () (tptp.tyop_2Emin_2Efun @t3 @t2)) % 0.35/0.71 (define @t5 () (tptp.s @t4 @t1)) % 0.35/0.71 (define @t6 () (@var "V0f_2E0" tptp.u)) % 0.35/0.71 (define @t7 () (tptp.s @t4 @t6)) % 0.35/0.71 (define @t8 () (@var "V2x_2E0" tptp.u)) % 0.35/0.71 (define @t9 () (tptp.s @t3 @t8)) % 0.35/0.71 (define @t10 () (tptp.s @t2 (tptp.app_2E2 @t5 @t9))) % 0.35/0.71 (define @t11 () (@var "V1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (define @t12 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (define @t13 () (tptp.p @t11)) % 0.35/0.71 (define @t14 () (tptp.p @t12)) % 0.35/0.71 (define @t15 () (@list @t12 @t11)) % 0.35/0.71 (define @t16 () (tptp.p tptp.mono_2Ec_2Ebool_2ET_2E0)) % 0.35/0.71 (define @t17 () (tptp.p tptp.mono_2Ec_2Ebool_2EF_2E0)) % 0.35/0.71 (define @t18 () (not @t17)) % 0.35/0.71 (define @t19 () (@var "V0t_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (define @t20 () (= @t19 tptp.mono_2Ec_2Ebool_2EF_2E0)) % 0.35/0.71 (define @t21 () (= @t19 tptp.mono_2Ec_2Ebool_2ET_2E0)) % 0.35/0.71 (define @t22 () (@list @t19)) % 0.35/0.71 (define @t23 () (@var "V0x_2E0" tptp.u)) % 0.35/0.71 (define @t24 () (tptp.s @t3 @t23)) % 0.35/0.71 (define @t25 () (@var "V1y_2E0" tptp.u)) % 0.35/0.71 (define @t26 () (tptp.tyop_2Emin_2Efun @t2 @t3)) % 0.35/0.71 (define @t27 () (@var "A_27c" tptp.d)) % 0.35/0.71 (define @t28 () (tptp.tyop_2Emin_2Efun @t2 @t27)) % 0.35/0.71 (define @t29 () (tptp.tyop_2Emin_2Efun @t3 @t28)) % 0.35/0.71 (define @t30 () (tptp.s @t29 @t6)) % 0.35/0.71 (define @t31 () (tptp.tyop_2Emin_2Efun @t3 @t27)) % 0.35/0.71 (define @t32 () (tptp.tyop_2Emin_2Efun @t4 @t31)) % 0.35/0.71 (define @t33 () (@list @t12)) % 0.35/0.71 (define @t34 () (@var "V1_2E0" tptp.u)) % 0.35/0.71 (define @t35 () (tptp.s @t3 @t34)) % 0.35/0.71 (define @t36 () (@var "V0_2E0" tptp.u)) % 0.35/0.71 (define @t37 () (tptp.s @t3 @t36)) % 0.35/0.71 (define @t38 () (@var "V1x_2E0" tptp.u)) % 0.35/0.71 (define @t39 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool)) % 0.35/0.71 (define @t40 () (tptp.s @t39 @t6)) % 0.35/0.71 (define @t41 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t40 (tptp.s @t3 @t38)))))) % 0.35/0.71 (define @t42 () (@list @t38)) % 0.35/0.71 (define @t43 () (@list @t3 @t6)) % 0.35/0.71 (define @t44 () (tptp.s tptp.tyop_2Emin_2Ebool @t36)) % 0.35/0.71 (define @t45 () (@list @t36)) % 0.35/0.71 (define @t46 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) % 0.35/0.71 (define @t47 () (tptp.s @t46 @t36)) % 0.35/0.71 (define @t48 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t46)) % 0.35/0.71 (define @t49 () (tptp.s @t48 @t36)) % 0.35/0.71 (define @t50 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)) % 0.35/0.71 (define @t51 () (tptp.s @t46 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t50))) % 0.35/0.71 (define @t52 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29)) % 0.35/0.71 (define @t53 () (tptp.s @t48 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t52))) % 0.35/0.71 (define @t54 () (@var "X0_2E0" tptp.u)) % 0.35/0.71 (define @t55 () (tptp.s @t39 @t54)) % 0.35/0.71 (define @t56 () (tptp.tyop_2Emin_2Efun @t39 tptp.tyop_2Emin_2Ebool)) % 0.35/0.71 (define @t57 () (@list @t3 @t54)) % 0.35/0.71 (define @t58 () (@var "X1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (define @t59 () (@var "X0_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (define @t60 () (tptp.p @t58)) % 0.35/0.71 (define @t61 () (tptp.p @t59)) % 0.35/0.71 (define @t62 () (@list @t59 @t58)) % 0.35/0.71 (define @t63 () (@var "X1_2E0" tptp.u)) % 0.35/0.71 (define @t64 () (tptp.s @t3 @t63)) % 0.35/0.71 (define @t65 () (tptp.s @t3 @t54)) % 0.35/0.71 (define @t66 () (tptp.tyop_2Emin_2Efun @t2 tptp.tyop_2Emin_2Ebool)) % 0.35/0.71 (define @t67 () (tptp.s @t66 @t63)) % 0.35/0.71 (define @t68 () (tptp.s @t4 @t54)) % 0.35/0.71 (define @t69 () (tptp.tyop_2Emin_2Efun @t66 tptp.tyop_2Emin_2Ebool)) % 0.35/0.71 (define @t70 () (tptp.tyop_2Emin_2Efun @t4 @t69)) % 0.35/0.71 (define @t71 () (@list @t3 @t2 @t54 @t63)) % 0.35/0.71 (define @t72 () (tptp.s @t39 @t63)) % 0.35/0.71 (define @t73 () (tptp.s @t26 @t54)) % 0.35/0.71 (define @t74 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t11))) % 0.35/0.71 (define @t75 () (tptp.p @t19)) % 0.35/0.71 (define @t76 () (not @t75)) % 0.35/0.71 (define @t77 () (forall @t22 (= (not @t76) @t75))) % 0.35/0.71 (define @t78 () (tptp.s @t3 @t25)) % 0.35/0.71 (define @t79 () (@var "V2t3_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (define @t80 () (tptp.p @t79)) % 0.35/0.71 (define @t81 () (@var "V1t2_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (define @t82 () (tptp.p @t81)) % 0.35/0.71 (define @t83 () (@var "V0t1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (define @t84 () (tptp.p @t83)) % 0.35/0.71 (define @t85 () (@var "V3y_27_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (define @t86 () (@var "V1x_27_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (define @t87 () (tptp.p @t86)) % 0.35/0.71 (define @t88 () (@var "V2y_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (define @t89 () (@var "V0x_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (define @t90 () (@var "V19fv_2E0" tptp.u)) % 0.35/0.71 (define @t91 () (@var "V16i_2E0" tptp.u)) % 0.35/0.71 (define @t92 () (tptp.s @t4 @t91)) % 0.35/0.71 (define @t93 () (@var "V18v_2E0" tptp.u)) % 0.35/0.71 (define @t94 () (tptp.s @t2 @t93)) % 0.35/0.71 (define @t95 () (= @t94 (tptp.s @t2 (tptp.app_2E2 @t92 (tptp.s @t3 @t90))))) % 0.35/0.71 (define @t96 () (@list @t90)) % 0.35/0.71 (define @t97 () (exists @t96 @t95)) % 0.35/0.71 (define @t98 () (@var "V17P_2E0" tptp.u)) % 0.35/0.71 (define @t99 () (tptp.s @t66 @t98)) % 0.35/0.71 (define @t100 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t99 @t94))))) % 0.35/0.71 (define @t101 () (not @t100)) % 0.35/0.71 (define @t102 () (=> @t101 @t97)) % 0.35/0.71 (define @t103 () (@list @t93)) % 0.35/0.71 (define @t104 () (forall @t103 @t102)) % 0.35/0.71 (define @t105 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @t92 @t99))))) % 0.35/0.71 (define @t106 () (= @t105 @t104)) % 0.35/0.71 (define @t107 () (@list @t91 @t98)) % 0.35/0.71 (define @t108 () (forall @t107 @t106)) % 0.35/0.71 (define @t109 () (@var "V15fv_2E0" tptp.u)) % 0.35/0.71 (define @t110 () (@var "V12i_2E0" tptp.u)) % 0.35/0.71 (define @t111 () (tptp.s @t4 @t110)) % 0.35/0.71 (define @t112 () (@var "V14v_2E0" tptp.u)) % 0.35/0.71 (define @t113 () (tptp.s @t2 @t112)) % 0.35/0.71 (define @t114 () (= @t113 (tptp.s @t2 (tptp.app_2E2 @t111 (tptp.s @t3 @t109))))) % 0.35/0.71 (define @t115 () (@list @t109)) % 0.35/0.71 (define @t116 () (exists @t115 @t114)) % 0.35/0.71 (define @t117 () (@var "V13P_2E0" tptp.u)) % 0.35/0.71 (define @t118 () (tptp.s @t66 @t117)) % 0.35/0.71 (define @t119 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t118 @t113))))) % 0.35/0.71 (define @t120 () (=> @t119 @t116)) % 0.35/0.71 (define @t121 () (@list @t112)) % 0.35/0.71 (define @t122 () (forall @t121 @t120)) % 0.35/0.71 (define @t123 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @t111 @t118))))) % 0.35/0.71 (define @t124 () (= @t123 @t122)) % 0.35/0.71 (define @t125 () (@list @t110 @t117)) % 0.35/0.71 (define @t126 () (forall @t125 @t124)) % 0.35/0.71 (define @t127 () (@var "V11fv_2E0" tptp.u)) % 0.35/0.71 (define @t128 () (@var "V9i_2E0" tptp.u)) % 0.35/0.71 (define @t129 () (tptp.s @t4 @t128)) % 0.35/0.71 (define @t130 () (@var "V10P_2E0" tptp.u)) % 0.35/0.71 (define @t131 () (tptp.s @t66 @t130)) % 0.35/0.71 (define @t132 () (@list @t127)) % 0.35/0.71 (define @t133 () (@list @t128 @t130)) % 0.35/0.71 (define @t134 () (forall @t133 (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t129 @t131)))) (forall @t132 (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t131 (tptp.s @t2 (tptp.app_2E2 @t129 (tptp.s @t3 @t127)))))))))))) % 0.35/0.71 (define @t135 () (@var "V8fv_2E0" tptp.u)) % 0.35/0.71 (define @t136 () (@var "V6i_2E0" tptp.u)) % 0.35/0.71 (define @t137 () (tptp.s @t4 @t136)) % 0.35/0.71 (define @t138 () (@var "V7P_2E0" tptp.u)) % 0.35/0.71 (define @t139 () (tptp.s @t66 @t138)) % 0.35/0.71 (define @t140 () (@list @t135)) % 0.35/0.71 (define @t141 () (@list @t136 @t138)) % 0.35/0.71 (define @t142 () (forall @t141 (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @t137 @t139)))) (forall @t140 (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t139 (tptp.s @t2 (tptp.app_2E2 @t137 (tptp.s @t3 @t135))))))))))) % 0.35/0.71 (define @t143 () (@var "V5fv_2E0" tptp.u)) % 0.35/0.71 (define @t144 () (@var "V0i_2E0" tptp.u)) % 0.35/0.71 (define @t145 () (tptp.s @t4 @t144)) % 0.35/0.71 (define @t146 () (@var "V1P_2E0" tptp.u)) % 0.35/0.71 (define @t147 () (tptp.s @t66 @t146)) % 0.35/0.71 (define @t148 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t147 (tptp.s @t2 (tptp.app_2E2 @t145 (tptp.s @t3 @t143)))))))) % 0.35/0.71 (define @t149 () (not @t148)) % 0.35/0.71 (define @t150 () (@list @t143)) % 0.35/0.71 (define @t151 () (exists @t150 @t149)) % 0.35/0.71 (define @t152 () (@var "V4v_2E0" tptp.u)) % 0.35/0.71 (define @t153 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t147 (tptp.s @t2 @t152)))))) % 0.35/0.71 (define @t154 () (not @t153)) % 0.35/0.71 (define @t155 () (=> @t154 @t151)) % 0.35/0.71 (define @t156 () (@list @t152)) % 0.35/0.71 (define @t157 () (forall @t156 @t155)) % 0.35/0.71 (define @t158 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 @t145 @t147))))) % 0.35/0.71 (define @t159 () (= @t158 @t157)) % 0.35/0.71 (define @t160 () (@var "V3fv_2E0" tptp.u)) % 0.35/0.71 (define @t161 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t147 (tptp.s @t2 (tptp.app_2E2 @t145 (tptp.s @t3 @t160)))))))) % 0.35/0.71 (define @t162 () (@list @t160)) % 0.35/0.71 (define @t163 () (exists @t162 @t161)) % 0.35/0.71 (define @t164 () (@var "V2v_2E0" tptp.u)) % 0.35/0.71 (define @t165 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t147 (tptp.s @t2 @t164)))))) % 0.35/0.71 (define @t166 () (=> @t165 @t163)) % 0.35/0.71 (define @t167 () (@list @t164)) % 0.35/0.71 (define @t168 () (forall @t167 @t166)) % 0.35/0.71 (define @t169 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @t145 @t147))))) % 0.35/0.71 (define @t170 () (= @t169 @t168)) % 0.35/0.71 (define @t171 () (and @t170 @t159 @t142 @t134 @t126 @t108)) % 0.35/0.71 (define @t172 () (@list @t3 @t2 @t144 @t146)) % 0.35/0.71 (define @t173 () (forall @t172 @t171)) % 0.35/0.71 (define @t174 () (@var "V0A_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (define @t175 () (tptp.p @t174)) % 0.35/0.71 (define @t176 () (=> (not @t175) @t17)) % 0.35/0.71 (define @t177 () (@list @t174)) % 0.35/0.71 (define @t178 () (@var "V0B_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (define @t179 () (tptp.p @t178)) % 0.35/0.71 (define @t180 () (=> (not @t179) @t17)) % 0.35/0.71 (define @t181 () (@var "V1A_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (define @t182 () (tptp.p @t181)) % 0.35/0.71 (define @t183 () (@list @t178 @t181)) % 0.35/0.71 (define @t184 () (@var "V2p_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (define @t185 () (tptp.p @t184)) % 0.35/0.71 (define @t186 () (not @t185)) % 0.35/0.71 (define @t187 () (@var "V1q_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (define @t188 () (tptp.p @t187)) % 0.35/0.71 (define @t189 () (not @t188)) % 0.35/0.71 (define @t190 () (@var "V0r_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (define @t191 () (tptp.p @t190)) % 0.35/0.71 (define @t192 () (not @t191)) % 0.35/0.71 (define @t193 () (@list @t190 @t187 @t184)) % 0.35/0.71 (define @t194 () (or @t185 @t192)) % 0.35/0.71 (define @t195 () (@var "V1p_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (define @t196 () (tptp.p @t195)) % 0.35/0.71 (define @t197 () (@var "V0q_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.35/0.71 (define @t198 () (tptp.p @t197)) % 0.35/0.71 (define @t199 () (not @t198)) % 0.35/0.71 (define @t200 () (@list @t197 @t195)) % 0.35/0.71 (define @t201 () (not (=> @t196 @t198))) % 0.35/0.71 (define @t202 () (@var "V2Q_2E0" tptp.u)) % 0.35/0.71 (define @t203 () (tptp.s @t39 @t202)) % 0.35/0.71 (define @t204 () (tptp.s @t26 @t144)) % 0.35/0.71 (define @t205 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t204 @t203))))) % 0.35/0.71 (define @t206 () (tptp.s @t39 @t146)) % 0.35/0.71 (define @t207 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t204 @t206))))) % 0.35/0.71 (define @t208 () (=> @t207 @t205)) % 0.35/0.71 (define @t209 () (@var "V3x_2E0" tptp.u)) % 0.35/0.71 (define @t210 () (tptp.s @t3 @t209)) % 0.35/0.71 (define @t211 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t206 @t210))))) % 0.35/0.71 (define @t212 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t203 @t210))))) % 0.35/0.71 (define @t213 () (@list @t209)) % 0.35/0.71 (define @t214 () (forall @t213 (=> @t212 @t211))) % 0.35/0.71 (define @t215 () (=> @t214 @t208)) % 0.35/0.71 (define @t216 () (@list @t3 @t2 @t144 @t146 @t202)) % 0.35/0.71 (define @t217 () (forall @t216 @t215)) % 0.35/0.71 (define @t218 () (not @t217)) % 0.35/0.71 (define @t219 () (@var "BOUND_VARIABLE_8611" tptp.d)) % 0.35/0.71 (define @t220 () (@var "BOUND_VARIABLE_8613" tptp.d)) % 0.35/0.71 (define @t221 () (tptp.s (tptp.tyop_2Emin_2Efun @t219 @t220) @t91)) % 0.35/0.71 (define @t222 () (tptp.s @t220 @t93)) % 0.35/0.71 (define @t223 () (tptp.s (tptp.tyop_2Emin_2Efun @t220 tptp.tyop_2Emin_2Ebool) @t98)) % 0.35/0.71 (define @t224 () (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @t221 @t223)))) (forall @t103 (or (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t223 @t222)))) (not (forall @t96 (not (= @t222 (tptp.s @t220 (tptp.app_2E2 @t221 (tptp.s @t219 @t90))))))))))) % 0.35/0.71 (define @t225 () (@var "BOUND_VARIABLE_8617" tptp.u)) % 0.35/0.71 (define @t226 () (@var "BOUND_VARIABLE_8615" tptp.u)) % 0.35/0.71 (define @t227 () (forall (@list @t219 @t220 @t226 @t225 @t91 @t98) @t224)) % 0.35/0.71 (define @t228 () (forall (@list @t219 @t220 @t226 @t225) (forall @t107 @t224))) % 0.35/0.71 (define @t229 () (@var "BOUND_VARIABLE_8575" tptp.d)) % 0.35/0.71 (define @t230 () (@var "BOUND_VARIABLE_8577" tptp.d)) % 0.35/0.71 (define @t231 () (tptp.s (tptp.tyop_2Emin_2Efun @t229 @t230) @t110)) % 0.35/0.71 (define @t232 () (tptp.s @t230 @t112)) % 0.35/0.71 (define @t233 () (tptp.s (tptp.tyop_2Emin_2Efun @t230 tptp.tyop_2Emin_2Ebool) @t117)) % 0.35/0.71 (define @t234 () (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @t231 @t233)))) (forall @t121 (or (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t233 @t232))))) (not (forall @t115 (not (= @t232 (tptp.s @t230 (tptp.app_2E2 @t231 (tptp.s @t229 @t109))))))))))) % 0.35/0.71 (define @t235 () (@var "BOUND_VARIABLE_8581" tptp.u)) % 0.35/0.71 (define @t236 () (@var "BOUND_VARIABLE_8579" tptp.u)) % 0.35/0.71 (define @t237 () (forall (@list @t229 @t230 @t236 @t235 @t110 @t117) @t234)) % 0.35/0.71 (define @t238 () (forall (@list @t229 @t230 @t236 @t235) (forall @t125 @t234))) % 0.35/0.71 (define @t239 () (@var "BOUND_VARIABLE_8545" tptp.d)) % 0.35/0.71 (define @t240 () (@var "BOUND_VARIABLE_8547" tptp.d)) % 0.35/0.71 (define @t241 () (tptp.s (tptp.tyop_2Emin_2Efun @t239 @t240) @t128)) % 0.35/0.71 (define @t242 () (tptp.s (tptp.tyop_2Emin_2Efun @t240 tptp.tyop_2Emin_2Ebool) @t130)) % 0.35/0.71 (define @t243 () (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t241 @t242)))) (forall @t132 (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t242 (tptp.s @t240 (tptp.app_2E2 @t241 (tptp.s @t239 @t127))))))))))) % 0.35/0.71 (define @t244 () (@var "BOUND_VARIABLE_8551" tptp.u)) % 0.35/0.71 (define @t245 () (@var "BOUND_VARIABLE_8549" tptp.u)) % 0.35/0.71 (define @t246 () (forall (@list @t239 @t240 @t245 @t244 @t128 @t130) @t243)) % 0.35/0.71 (define @t247 () (forall (@list @t239 @t240 @t245 @t244) (forall @t133 @t243))) % 0.35/0.71 (define @t248 () (@var "BOUND_VARIABLE_8517" tptp.d)) % 0.35/0.71 (define @t249 () (@var "BOUND_VARIABLE_8519" tptp.d)) % 0.35/0.71 (define @t250 () (tptp.s (tptp.tyop_2Emin_2Efun @t248 @t249) @t136)) % 0.35/0.71 (define @t251 () (tptp.s (tptp.tyop_2Emin_2Efun @t249 tptp.tyop_2Emin_2Ebool) @t138)) % 0.35/0.71 (define @t252 () (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @t250 @t251)))) (forall @t140 (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t251 (tptp.s @t249 (tptp.app_2E2 @t250 (tptp.s @t248 @t135)))))))))) % 0.35/0.71 (define @t253 () (@var "BOUND_VARIABLE_8523" tptp.u)) % 0.35/0.71 (define @t254 () (@var "BOUND_VARIABLE_8521" tptp.u)) % 0.35/0.71 (define @t255 () (forall (@list @t248 @t249 @t254 @t253 @t136 @t138) @t252)) % 0.35/0.71 (define @t256 () (forall (@list @t248 @t249 @t254 @t253) (forall @t141 @t252))) % 0.35/0.71 (define @t257 () (@var "BOUND_VARIABLE_8484" tptp.d)) % 0.35/0.71 (define @t258 () (@var "BOUND_VARIABLE_8488" tptp.u)) % 0.35/0.71 (define @t259 () (tptp.s (tptp.tyop_2Emin_2Efun @t257 tptp.tyop_2Emin_2Ebool) @t258)) % 0.35/0.71 (define @t260 () (@var "BOUND_VARIABLE_8482" tptp.d)) % 0.35/0.71 (define @t261 () (@var "BOUND_VARIABLE_8486" tptp.u)) % 0.35/0.71 (define @t262 () (tptp.s (tptp.tyop_2Emin_2Efun @t260 @t257) @t261)) % 0.35/0.71 (define @t263 () (forall (@list @t260 @t257 @t261 @t258) (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 @t262 @t259)))) (or (not (forall @t150 (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t259 (tptp.s @t257 (tptp.app_2E2 @t262 (tptp.s @t260 @t143))))))))) (forall @t156 (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t259 (tptp.s @t257 @t152)))))))))) % 0.35/0.71 (define @t264 () (@var "BOUND_VARIABLE_8447" tptp.d)) % 0.35/0.71 (define @t265 () (@var "BOUND_VARIABLE_8451" tptp.u)) % 0.35/0.71 (define @t266 () (tptp.s (tptp.tyop_2Emin_2Efun @t264 tptp.tyop_2Emin_2Ebool) @t265)) % 0.35/0.71 (define @t267 () (@var "BOUND_VARIABLE_8445" tptp.d)) % 0.35/0.71 (define @t268 () (@var "BOUND_VARIABLE_8449" tptp.u)) % 0.35/0.71 (define @t269 () (tptp.s (tptp.tyop_2Emin_2Efun @t267 @t264) @t268)) % 0.35/0.71 (define @t270 () (forall (@list @t267 @t264 @t268 @t265) (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @t269 @t266)))) (or (not (forall @t162 (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t266 (tptp.s @t264 (tptp.app_2E2 @t269 (tptp.s @t267 @t160)))))))))) (forall @t167 (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t266 (tptp.s @t264 @t164))))))))))) % 0.35/0.71 (define @t271 () (not (forall @t96 (not @t95)))) % 0.35/0.71 (define @t272 () (forall @t107 (= @t105 (forall @t103 (or @t100 @t271))))) % 0.35/0.71 (define @t273 () (forall @t172 @t272)) % 0.35/0.71 (define @t274 () (@list @t3 @t2 @t144 @t146)) % 0.35/0.71 (define @t275 () (not (forall @t115 (not @t114)))) % 0.35/0.71 (define @t276 () (forall @t125 (= @t123 (forall @t121 (or (not @t119) @t275))))) % 0.35/0.71 (define @t277 () (forall @t172 @t276)) % 0.35/0.71 (define @t278 () (forall @t172 @t134)) % 0.35/0.71 (define @t279 () (forall @t172 @t142)) % 0.35/0.71 (define @t280 () (not (forall @t150 @t148))) % 0.35/0.71 (define @t281 () (or @t280 (forall @t156 @t153))) % 0.35/0.71 (define @t282 () (= @t158 @t281)) % 0.35/0.71 (define @t283 () (forall @t172 @t282)) % 0.35/0.71 (define @t284 () (not @t165)) % 0.35/0.71 (define @t285 () (not (forall @t162 (not @t161)))) % 0.35/0.71 (define @t286 () (or @t285 (forall @t167 @t284))) % 0.35/0.71 (define @t287 () (= @t169 @t286)) % 0.35/0.71 (define @t288 () (forall @t172 @t287)) % 0.35/0.71 (define @t289 () (and @t288 @t283 @t279 @t278 @t277 @t273)) % 0.35/0.71 (define @t290 () (or @t280 @t153)) % 0.35/0.71 (define @t291 () (or @t153 @t280)) % 0.35/0.71 (define @t292 () (forall @t150 (not @t149))) % 0.35/0.71 (define @t293 () (not @t292)) % 0.35/0.71 (define @t294 () (or @t285 @t284)) % 0.35/0.71 (define @t295 () (or @t284 @t285)) % 0.35/0.71 (define @t296 () (not @t207)) % 0.35/0.71 (define @t297 () (forall @t213 (or (not @t212) @t211))) % 0.35/0.71 (define @t298 () (not @t297)) % 0.35/0.71 (define @t299 () (or @t298 @t296 @t205)) % 0.35/0.71 (define @t300 () (forall @t216 @t299)) % 0.35/0.71 (define @t301 () (@quantifiers_skolemize @t300 4)) % 0.35/0.71 (define @t302 () (@quantifiers_skolemize @t300 2)) % 0.35/0.71 (define @t303 () (@quantifiers_skolemize @t300 0)) % 0.35/0.71 (define @t304 () (@quantifiers_skolemize @t300 1)) % 0.35/0.71 (define @t305 () (tptp.tyop_2Emin_2Efun @t303 tptp.tyop_2Emin_2Ebool)) % 0.35/0.71 (define @t306 () (tptp.s @t305 @t301)) % 0.35/0.71 (define @t307 () (tptp.s (tptp.tyop_2Emin_2Efun @t304 @t303) @t302)) % 0.35/0.71 (define @t308 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t307 @t306))))) % 0.35/0.71 (define @t309 () (@quantifiers_skolemize @t300 3)) % 0.35/0.71 (define @t310 () (tptp.s @t305 @t309)) % 0.35/0.71 (define @t311 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t307 @t310))))) % 0.35/0.71 (define @t312 () (not @t311)) % 0.35/0.71 (define @t313 () (tptp.s @t303 @t209)) % 0.35/0.71 (define @t314 () (forall @t213 (or (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t306 @t313))))) (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t310 @t313))))))) % 0.35/0.71 (define @t315 () (not @t314)) % 0.35/0.71 (define @t316 () (or @t315 @t312 @t308)) % 0.35/0.71 (define @t317 () (@list true)) % 0.35/0.71 (define @t318 () (@list @t316)) % 0.35/0.71 (define @t319 () (tptp.s @t303 (tptp.app_2E2 @t307 (tptp.s @t304 @t127)))) % 0.35/0.71 (define @t320 () (forall @t132 (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t306 @t319))))))) % 0.35/0.71 (define @t321 () (= @t308 @t320)) % 0.35/0.71 (define @t322 () (not @t320)) % 0.35/0.71 (define @t323 () (@quantifiers_skolemize @t320 0)) % 0.35/0.71 (define @t324 () (tptp.app_2E2 @t307 (tptp.s @t304 @t323))) % 0.35/0.71 (define @t325 () (tptp.s @t303 @t324)) % 0.35/0.71 (define @t326 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t306 @t325))))) % 0.35/0.71 (define @t327 () (not @t326)) % 0.35/0.71 (define @t328 () (not @t327)) % 0.35/0.71 (define @t329 () (forall @t132 (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t310 @t319))))))) % 0.35/0.71 (define @t330 () (= @t311 @t329)) % 0.35/0.71 (define @t331 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t310 @t325))))) % 0.35/0.71 (define @t332 () (or @t327 @t331)) % 0.35/0.71 (assume @p1 (forall (@list @t3 @t2 @t6 @t1) (=> (forall (@list @t8) (= (tptp.s @t2 (tptp.app_2E2 @t7 @t9)) @t10)) (= @t7 @t5)))) % 0.35/0.71 (assume @p2 (forall @t15 (=> (= @t14 @t13) (= @t12 @t11)))) % 0.35/0.71 (assume @p3 @t16) % 0.35/0.71 (assume @p4 @t18) % 0.35/0.71 (assume @p5 (forall @t22 (or @t21 @t20))) % 0.35/0.71 (assume @p6 (forall (@list @t3 @t23) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t3) tptp.combin_i_2E0) @t24)) @t24))) % 0.35/0.71 (assume @p7 (forall (@list @t3 @t2 @t23 @t25) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t26 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t26) tptp.combin_k_2E0) @t24)) (tptp.s @t2 @t25))) @t24))) % 0.35/0.71 (assume @p8 (forall (@list @t3 @t2 @t27 @t6 @t1 @t8) (= (tptp.s @t27 (tptp.app_2E2 (tptp.s @t31 (tptp.app_2E2 (tptp.s @t32 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t29 @t32) tptp.combin_s_2E0) @t30)) @t5)) @t9)) (tptp.s @t27 (tptp.app_2E2 (tptp.s @t28 (tptp.app_2E2 @t30 @t9)) @t10))))) % 0.35/0.71 (assume @p9 (forall @t15 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_2F_5C_2E2 @t12 @t11)) (and @t14 @t13)))) % 0.35/0.71 (assume @p10 (forall @t15 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_5C_2F_2E2 @t12 @t11)) (or @t14 @t13)))) % 0.35/0.71 (assume @p11 (forall @t33 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_7E_2E1 @t12)) (not @t14)))) % 0.35/0.71 (assume @p12 (forall @t15 (= (tptp.p (tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E2 @t12 @t11)) (=> @t14 @t13)))) % 0.35/0.71 (assume @p13 (forall (@list @t3 @t36 @t34) (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 @t37 @t35)))) (= @t37 @t35)))) % 0.35/0.71 (assume @p14 (forall @t43 (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t40)))) (forall @t42 @t41)))) % 0.35/0.71 (assume @p15 (forall @t43 (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t40)))) (exists @t42 @t41)))) % 0.35/0.71 (assume @p16 (forall @t45 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.j_mono_2Etyop_2Emin_2Ebool @t44))) @t44))) % 0.35/0.71 (assume @p17 (forall @t45 (= (tptp.s @t46 (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 @t47))) @t47))) % 0.35/0.71 (assume @p18 (forall @t45 (= (tptp.s @t48 (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 @t49))) @t49))) % 0.35/0.71 (assume @p19 (forall @t33 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t12))) @t12))) % 0.35/0.71 (assume @p20 (forall (@list @t50) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t51) @t50))) % 0.35/0.71 (assume @p21 (forall (@list @t52) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t53) @t52))) % 0.35/0.71 (assume @p22 (forall @t57 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t55))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t56 tptp.c_2Ebool_2E_21_2E0) @t55)))))) % 0.35/0.71 (assume @p23 (forall @t62 (= (and @t61 @t60) (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 @t59) @t58))))) % 0.35/0.71 (assume @p24 (forall (@list @t3 @t54 @t63) (= (= @t65 @t64) (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t39 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t39) tptp.c_2Emin_2E_3D_2E0) @t65)) @t64))))))) % 0.35/0.71 (assume @p25 (forall @t62 (= (=> @t61 @t60) (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 @t59) @t58))))) % 0.35/0.71 (assume @p26 (forall @t57 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t55))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t56 tptp.c_2Ebool_2E_3F_2E0) @t55)))))) % 0.35/0.71 (assume @p27 (forall @t71 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @t68 @t67))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t69 (tptp.app_2E2 (tptp.s @t70 tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E0) @t68)) @t67)))))) % 0.35/0.71 (assume @p28 (forall @t71 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @t68 @t67))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t69 (tptp.app_2E2 (tptp.s @t70 tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0) @t68)) @t67)))))) % 0.35/0.71 (assume @p29 (forall @t71 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @t68 @t67))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t69 (tptp.app_2E2 (tptp.s @t70 tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0) @t68)) @t67)))))) % 0.35/0.71 (assume @p30 (forall @t71 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 @t68 @t67))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t69 (tptp.app_2E2 (tptp.s @t70 tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E0) @t68)) @t67)))))) % 0.35/0.71 (assume @p31 (forall @t71 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @t68 @t67))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t69 (tptp.app_2E2 (tptp.s @t70 tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0) @t68)) @t67)))))) % 0.35/0.71 (assume @p32 (forall @t71 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t68 @t67))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t69 (tptp.app_2E2 (tptp.s @t70 tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0) @t68)) @t67)))))) % 0.35/0.71 (assume @p33 (forall @t71 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @t73 @t72))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t56 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t26 @t56) tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0) @t73)) @t72)))))) % 0.35/0.71 (assume @p34 (forall @t62 (= (or @t61 @t60) (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 @t59) @t58))))) % 0.35/0.71 (assume @p35 (forall (@list @t59) (= (not @t61) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2E_7E_2E0 @t59))))) % 0.35/0.71 (assume @p36 (forall (@list @t50 @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 @t50 @t11))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t51 @t74))))) % 0.35/0.71 (assume @p37 (forall (@list @t52 @t11) (= (tptp.s @t46 (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 @t52 @t11))) (tptp.s @t46 (tptp.app_2E2 @t53 @t74))))) % 0.35/0.71 (assume @p38 (forall @t22 (and (= (=> @t16 @t75) @t75) (= (=> @t75 @t16) @t16) (= (=> @t17 @t75) @t16) (= (=> @t75 @t75) @t16) (= (=> @t75 @t17) @t76)))) % 0.35/0.71 (assume @p39 (and @t77 (= (not @t16) @t17) (= @t18 @t16))) % 0.35/0.71 (assume @p40 (forall (@list @t3 @t23 @t25) (= (= @t24 @t78) (= @t78 @t24)))) % 0.35/0.71 (assume @p41 (forall @t22 (and (= (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t19) @t75) (= @t21 @t75) (= (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t19) @t76) (= @t20 @t76)))) % 0.35/0.71 (assume @p42 (forall (@list @t83 @t81 @t79) (= (=> @t84 (=> @t82 @t80)) (=> (and @t84 @t82) @t80)))) % 0.35/0.71 (assume @p43 (forall (@list @t89 @t86 @t88 @t85) (=> (and (= @t89 @t86) (=> @t87 (= @t88 @t85))) (= (=> (tptp.p @t89) (tptp.p @t88)) (=> @t87 (tptp.p @t85)))))) % 0.35/0.71 (assume @p44 @t173) % 0.35/0.71 (assume @p45 @t77) % 0.35/0.71 (assume @p46 (forall @t177 (=> @t175 @t176))) % 0.35/0.71 (assume @p47 (forall @t183 (= (=> (not (or @t182 @t179)) @t17) (=> (=> @t182 @t17) @t180)))) % 0.35/0.71 (assume @p48 (forall @t183 (= (=> (not (or (not @t182) @t179)) @t17) (=> @t182 @t180)))) % 0.35/0.71 (assume @p49 (forall @t177 (=> @t176 (=> (=> @t175 @t17) @t17)))) % 0.35/0.71 (assume @p50 (forall @t193 (= (= @t185 (= @t187 @t190)) (and (or @t185 @t188 @t191) (or @t185 @t192 @t189) (or @t188 @t192 @t186) (or @t191 @t189 @t186))))) % 0.35/0.71 (assume @p51 (forall @t193 (= (= @t185 (or @t188 @t191)) (and (or @t185 @t189) @t194 (or @t188 @t191 @t186))))) % 0.35/0.71 (assume @p52 (forall @t193 (= (= @t185 (=> @t188 @t191)) (and (or @t185 @t188) @t194 (or @t189 @t191 @t186))))) % 0.35/0.71 (assume @p53 (forall @t200 (= (= @t196 @t199) (and (or @t196 @t198) (or @t199 (not @t196)))))) % 0.35/0.71 (assume @p54 (forall @t200 (=> @t201 @t196))) % 0.35/0.71 (assume @p55 (forall @t200 (=> @t201 @t199))) % 0.35/0.71 (assume @p56 @t218) % 0.35/0.71 (assume @p57 true) % 0.35/0.71 (step @p58 :rule quant-unused-vars :args ((= @t227 (forall (@list @t219 @t220 @t91 @t98) @t224)))) % 0.35/0.71 (step @p59 :rule quant-merge-prenex :args ((= @t228 @t227))) % 0.35/0.71 (step @p60 :rule trans :premises (@p59 @p58)) % 0.35/0.71 (step @p61 :rule quant-unused-vars :args ((= @t237 (forall (@list @t229 @t230 @t110 @t117) @t234)))) % 0.35/0.71 (step @p62 :rule quant-merge-prenex :args ((= @t238 @t237))) % 0.35/0.71 (step @p63 :rule trans :premises (@p62 @p61)) % 0.35/0.71 (step @p64 :rule quant-unused-vars :args ((= @t246 (forall (@list @t239 @t240 @t128 @t130) @t243)))) % 0.35/0.71 (step @p65 :rule quant-merge-prenex :args ((= @t247 @t246))) % 0.35/0.71 (step @p66 :rule trans :premises (@p65 @p64)) % 0.35/0.71 (step @p67 :rule quant-unused-vars :args ((= @t255 (forall (@list @t248 @t249 @t136 @t138) @t252)))) % 0.35/0.71 (step @p68 :rule quant-merge-prenex :args ((= @t256 @t255))) % 0.35/0.71 (step @p69 :rule trans :premises (@p68 @p67)) % 0.35/0.71 (step @p70 :rule refl :args (@t263)) % 0.35/0.71 (step @p71 :rule refl :args (@t270)) % 0.35/0.71 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69 @p66 @p63 @p60) :args ((and @t270 @t263 @t256 @t247 @t238 @t228))) % 0.35/0.71 (step @p73 :rule alpha_equiv :args (@t273 @t274 (@list @t219 @t220 @t226 @t225))) % 0.35/0.71 (step @p74 :rule alpha_equiv :args (@t277 @t274 (@list @t229 @t230 @t236 @t235))) % 0.35/0.71 (step @p75 :rule alpha_equiv :args (@t278 @t274 (@list @t239 @t240 @t245 @t244))) % 0.35/0.71 (step @p76 :rule alpha_equiv :args (@t279 @t274 (@list @t248 @t249 @t254 @t253))) % 0.35/0.71 (step @p77 :rule alpha_equiv :args (@t283 @t274 (@list @t260 @t257 @t261 @t258))) % 0.35/0.71 (step @p78 :rule alpha_equiv :args (@t288 @t274 (@list @t267 @t264 @t268 @t265))) % 0.35/0.71 (step @p79 :rule nary_cong :premises (@p78 @p77 @p76 @p75 @p74 @p73) :args (@t289)) % 0.35/0.71 (step @p80 :rule quant-miniscope-and :args ((= (forall @t172 (and @t287 @t282 @t142 @t134 @t276 @t272)) @t289))) % 0.35/0.71 (step @p81 :rule trans :premises (@p80 @p79)) % 0.35/0.71 (step @p82 :rule trans :premises (@p81 @p72)) % 0.35/0.71 (step @p83 :rule refl :args (@t271)) % 0.35/0.71 (step @p84 :rule bool-double-not-elim :args (@t100)) % 0.35/0.71 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or (not @t101) @t271))) % 0.35/0.71 (step @p86 :rule bool-impl-elim :args (@t101 @t271)) % 0.35/0.71 (step @p87 :rule trans :premises (@p86 @p85)) % 0.35/0.71 (step @p88 :rule cong :premises (@p87) :args ((forall @t103 (=> @t101 @t271)))) % 0.35/0.71 (step @p89 :rule exists-elim :args ((= @t97 @t271))) % 0.35/0.71 (step @p90 :rule refl :args (@t101)) % 0.35/0.71 (step @p91 :rule cong :premises (@p90 @p89) :args (@t102)) % 0.35/0.71 (step @p92 :rule cong :premises (@p91) :args (@t104)) % 0.35/0.71 (step @p93 :rule trans :premises (@p92 @p88)) % 0.35/0.71 (step @p94 :rule refl :args (@t105)) % 0.35/0.71 (step @p95 :rule cong :premises (@p94 @p93) :args (@t106)) % 0.35/0.71 (step @p96 :rule cong :premises (@p95) :args (@t108)) % 0.35/0.71 (step @p97 :rule bool-impl-elim :args (@t119 @t275)) % 0.35/0.71 (step @p98 :rule cong :premises (@p97) :args ((forall @t121 (=> @t119 @t275)))) % 0.35/0.71 (step @p99 :rule exists-elim :args ((= @t116 @t275))) % 0.35/0.71 (step @p100 :rule refl :args (@t119)) % 0.35/0.71 (step @p101 :rule cong :premises (@p100 @p99) :args (@t120)) % 0.35/0.71 (step @p102 :rule cong :premises (@p101) :args (@t122)) % 0.35/0.71 (step @p103 :rule trans :premises (@p102 @p98)) % 0.35/0.71 (step @p104 :rule refl :args (@t123)) % 0.35/0.71 (step @p105 :rule cong :premises (@p104 @p103) :args (@t124)) % 0.35/0.71 (step @p106 :rule cong :premises (@p105) :args (@t126)) % 0.35/0.71 (step @p107 :rule refl :args (@t134)) % 0.35/0.71 (step @p108 :rule refl :args (@t142)) % 0.35/0.71 (step @p109 :rule quant-miniscope-or :args ((= (forall @t156 @t290) @t281))) % 0.35/0.71 (step @p110 :rule aci_norm :args ((= @t291 @t290))) % 0.35/0.71 (step @p111 :rule cong :premises (@p110) :args ((forall @t156 @t291))) % 0.35/0.71 (step @p112 :rule trans :premises (@p111 @p109)) % 0.35/0.71 (step @p113 :rule refl :args (@t280)) % 0.35/0.71 (step @p114 :rule bool-double-not-elim :args (@t153)) % 0.35/0.71 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or (not @t154) @t280))) % 0.35/0.71 (step @p116 :rule bool-impl-elim :args (@t154 @t280)) % 0.35/0.71 (step @p117 :rule trans :premises (@p116 @p115)) % 0.35/0.71 (step @p118 :rule cong :premises (@p117) :args ((forall @t156 (=> @t154 @t280)))) % 0.35/0.71 (step @p119 :rule trans :premises (@p118 @p112)) % 0.35/0.71 (step @p120 :rule bool-double-not-elim :args (@t148)) % 0.35/0.71 (step @p121 :rule cong :premises (@p120) :args (@t292)) % 0.35/0.71 (step @p122 :rule cong :premises (@p121) :args (@t293)) % 0.35/0.71 (step @p123 :rule exists-elim :args ((= @t151 @t293))) % 0.35/0.71 (step @p124 :rule trans :premises (@p123 @p122)) % 0.35/0.71 (step @p125 :rule refl :args (@t154)) % 0.35/0.71 (step @p126 :rule cong :premises (@p125 @p124) :args (@t155)) % 0.35/0.71 (step @p127 :rule cong :premises (@p126) :args (@t157)) % 0.35/0.71 (step @p128 :rule trans :premises (@p127 @p119)) % 0.35/0.71 (step @p129 :rule refl :args (@t158)) % 0.35/0.71 (step @p130 :rule cong :premises (@p129 @p128) :args (@t159)) % 0.35/0.71 (step @p131 :rule quant-miniscope-or :args ((= (forall @t167 @t294) @t286))) % 0.35/0.71 (step @p132 :rule aci_norm :args ((= @t295 @t294))) % 0.35/0.71 (step @p133 :rule cong :premises (@p132) :args ((forall @t167 @t295))) % 0.35/0.71 (step @p134 :rule trans :premises (@p133 @p131)) % 0.35/0.71 (step @p135 :rule bool-impl-elim :args (@t165 @t285)) % 0.35/0.71 (step @p136 :rule cong :premises (@p135) :args ((forall @t167 (=> @t165 @t285)))) % 0.35/0.71 (step @p137 :rule trans :premises (@p136 @p134)) % 0.35/0.71 (step @p138 :rule exists-elim :args ((= @t163 @t285))) % 0.35/0.71 (step @p139 :rule refl :args (@t165)) % 0.35/0.71 (step @p140 :rule cong :premises (@p139 @p138) :args (@t166)) % 0.35/0.71 (step @p141 :rule cong :premises (@p140) :args (@t168)) % 0.35/0.71 (step @p142 :rule trans :premises (@p141 @p137)) % 0.35/0.71 (step @p143 :rule refl :args (@t169)) % 0.35/0.71 (step @p144 :rule cong :premises (@p143 @p142) :args (@t170)) % 0.35/0.71 (step @p145 :rule nary_cong :premises (@p144 @p130 @p108 @p107 @p106 @p96) :args (@t171)) % 0.35/0.71 (step @p146 :rule cong :premises (@p145) :args (@t173)) % 0.35/0.71 (step @p147 :rule trans :premises (@p146 @p82)) % 0.35/0.71 (step @p148 :rule eq_resolve :premises (@p44 @p147)) % 0.35/0.71 (step @p149 :rule and_elim :premises (@p148) :args (3)) % 0.35/0.71 (step @p150 :rule instantiate :premises (@p149) :args ((@list @t304 @t303 @t302 @t301))) % 0.35/0.71 (step @p151 :rule aci_norm :args ((= (or @t298 (or @t296 @t205)) @t299))) % 0.35/0.71 (step @p152 :rule bool-impl-elim :args (@t207 @t205)) % 0.35/0.71 (step @p153 :rule refl :args (@t298)) % 0.35/0.71 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or @t298 @t208))) % 0.35/0.71 (step @p155 :rule trans :premises (@p154 @p151)) % 0.35/0.71 (step @p156 :rule bool-impl-elim :args (@t297 @t208)) % 0.35/0.71 (step @p157 :rule trans :premises (@p156 @p155)) % 0.35/0.71 (step @p158 :rule cong :premises (@p157) :args ((forall @t216 (=> @t297 @t208)))) % 0.35/0.71 (step @p159 :rule refl :args (@t208)) % 0.35/0.71 (step @p160 :rule bool-impl-elim :args (@t212 @t211)) % 0.35/0.71 (step @p161 :rule cong :premises (@p160) :args (@t214)) % 0.35/0.71 (step @p162 :rule cong :premises (@p161 @p159) :args (@t215)) % 0.35/0.71 (step @p163 :rule cong :premises (@p162) :args (@t217)) % 0.35/0.71 (step @p164 :rule trans :premises (@p163 @p158)) % 0.35/0.71 (step @p165 :rule cong :premises (@p164) :args (@t218)) % 0.35/0.71 (step @p166 :rule eq_resolve :premises (@p56 @p165)) % 0.35/0.71 (step @p167 :rule skolemize :premises (@p166)) % 0.35/0.71 (step @p168 :rule cnf_or_neg :args (@t316 2)) % 0.35/0.71 (step @p169 :rule chain_m_resolution :premises (@p168 @p167) :args ((not @t308) @t317 @t318)) % 0.35/0.71 (step @p170 :rule cnf_equiv_pos2 :args (@t321)) % 0.35/0.71 (step @p171 :rule reordering :premises (@p170) :args ((or @t308 @t322 (not @t321)))) % 0.35/0.71 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p150) :args (@t322 (@list true false) (@list @t308 @t321))) % 0.35/0.71 (step @p173 :rule refl :args (@t326)) % 0.35/0.71 (step @p174 :rule bool-double-not-elim :args (@t320)) % 0.35/0.71 (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or (not @t322) @t326))) % 0.35/0.71 (step @p176 :rule bool-double-not-elim :args (@t326)) % 0.35/0.71 (step @p177 :rule refl :args (@t322)) % 0.35/0.71 (step @p178 :rule cong :premises (@p177 @p176) :args ((=> @t322 @t328))) % 0.35/0.71 (assume-push @p209 @t322) % 0.35/0.71 (step @p180 :rule skolemize :premises (@p172)) % 0.35/0.71 (step-pop @p210 :rule scope :premises (@p180)) % 0.35/0.71 (step @p181 :rule process_scope :premises (@p210) :args (@t328)) % 0.35/0.71 (step @p183 :rule eq_resolve :premises (@p181 @p178)) % 0.35/0.71 (step @p184 :rule implies_elim :premises (@p183)) % 0.35/0.71 (step @p185 :rule eq_resolve :premises (@p184 @p175)) % 0.35/0.71 (step @p186 :rule chain_m_resolution :premises (@p185 @p172) :args (@t326 @t317 (@list @t320))) % 0.35/0.71 (step @p187 :rule bool-double-not-elim :args (@t314)) % 0.35/0.71 (step @p188 :rule refl :args (@t316)) % 0.35/0.71 (step @p189 :rule nary_cong :premises (@p188 @p187) :args ((or @t316 (not @t315)))) % 0.35/0.71 (step @p190 :rule cnf_or_neg :args (@t316 0)) % 0.35/0.71 (step @p191 :rule eq_resolve :premises (@p190 @p189)) % 0.35/0.71 (step @p192 :rule reordering :premises (@p191) :args ((or @t314 @t316))) % 0.35/0.71 (step @p193 :rule chain_m_resolution :premises (@p192 @p167) :args (@t314 @t317 @t318)) % 0.35/0.71 (step @p194 :rule instantiate :premises (@p193) :args ((@list @t324))) % 0.35/0.71 (step @p195 :rule instantiate :premises (@p149) :args ((@list @t304 @t303 @t302 @t309))) % 0.35/0.71 (step @p196 :rule bool-double-not-elim :args (@t311)) % 0.35/0.71 (step @p197 :rule nary_cong :premises (@p188 @p196) :args ((or @t316 (not @t312)))) % 0.35/0.71 (step @p198 :rule cnf_or_neg :args (@t316 1)) % 0.35/0.71 (step @p199 :rule eq_resolve :premises (@p198 @p197)) % 0.35/0.71 (step @p200 :rule reordering :premises (@p199) :args ((or @t311 @t316))) % 0.35/0.71 (step @p201 :rule chain_m_resolution :premises (@p200 @p167) :args (@t311 @t317 @t318)) % 0.35/0.71 (step @p202 :rule cnf_equiv_pos1 :args (@t330)) % 0.35/0.71 (step @p203 :rule reordering :premises (@p202) :args ((or @t312 @t329 (not @t330)))) % 0.35/0.71 (step @p204 :rule chain_m_resolution :premises (@p203 @p201 @p195) :args (@t329 (@list false false) (@list @t311 @t330))) % 0.35/0.71 (step @p205 :rule instantiate :premises (@p204) :args ((@list @t323))) % 0.35/0.71 (step @p206 :rule cnf_or_pos :args (@t332)) % 0.35/0.71 (step @p207 :rule reordering :premises (@p206) :args ((or @t327 @t331 (not @t332)))) % 0.35/0.71 (step @p208 false :rule chain_m_resolution :premises (@p207 @p205 @p194 @p186) :args (false (@list true false false) (@list @t331 @t332 @t326))) % 0.35/0.71 ) % 0.35/0.71 % SZS output end Proof % 0.35/0.71 % cvc5 exiting %------------------------------------------------------------------------------