%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP010_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 : n008.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 08:24:29 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP010_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 % 0.16/0.34 % Computer : n008.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 03:47:18 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 0) % 0.37/0.57 (declare-sort tptp.mono_2Etyop_2Emin_2Ebool 0) % 0.37/0.57 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 0) % 0.37/0.57 (declare-sort tptp.d 0) % 0.37/0.57 (declare-sort tptp.u 0) % 0.37/0.57 (declare-sort tptp.du 0) % 0.37/0.57 (declare-const tptp.mono_2Ec_2Ebool_2E_7E_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29) % 0.37/0.57 (declare-const tptp.c_2Ecardinal_2Ecardleq_2E2 (-> tptp.du tptp.du tptp.u)) % 0.37/0.57 (declare-const tptp.c_2Ecardinal_2Ecardleq_2E0 tptp.u) % 0.37/0.57 (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) % 0.37/0.57 (declare-const tptp.c_2Ebool_2E_3F_2E0 tptp.u) % 0.37/0.57 (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)) % 0.37/0.57 (declare-const tptp.combin_k_2E0 tptp.u) % 0.37/0.57 (declare-const tptp.mono_2Ec_2Ebool_2E_7E_2E1 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.57 (declare-const tptp.c_2Emin_2E_3D_2E0 tptp.u) % 0.37/0.57 (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)) % 0.37/0.57 (declare-const tptp.p (-> tptp.mono_2Etyop_2Emin_2Ebool Bool)) % 0.37/0.57 (declare-const tptp.combin_s_2E0 tptp.u) % 0.37/0.57 (declare-const tptp.mono_2Ec_2Ebool_2EF_2E0 tptp.mono_2Etyop_2Emin_2Ebool) % 0.37/0.57 (declare-const tptp.combin_i_2E0 tptp.u) % 0.37/0.57 (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) % 0.37/0.57 (declare-const tptp.app_2E2 (-> tptp.du tptp.du tptp.u)) % 0.37/0.57 (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) % 0.37/0.57 (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)) % 0.37/0.57 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> tptp.du tptp.u)) % 0.37/0.57 (declare-const tptp.s (-> tptp.d tptp.u tptp.du)) % 0.37/0.57 (declare-const tptp.mono_2Ec_2Ebool_2ET_2E0 tptp.mono_2Etyop_2Emin_2Ebool) % 0.37/0.57 (declare-const tptp.c_2Ebool_2E_21_2E0 tptp.u) % 0.37/0.57 (declare-const tptp.tyop_2Emin_2Efun (-> tptp.d tptp.d tptp.d)) % 0.37/0.57 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> tptp.du tptp.du tptp.u)) % 0.37/0.57 (declare-const tptp.tyop_2Emin_2Ebool tptp.d) % 0.37/0.57 (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)) % 0.37/0.57 (declare-const tptp.j_mono_2Etyop_2Emin_2Ebool (-> tptp.du tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.57 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> tptp.du tptp.u)) % 0.37/0.57 (declare-const tptp.i_mono_2Etyop_2Emin_2Ebool (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.u)) % 0.37/0.57 (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)) % 0.37/0.57 (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)) % 0.37/0.57 (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)) % 0.37/0.57 (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)) % 0.37/0.57 (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)) % 0.37/0.57 (define @t1 () (@var "V1g_2E0" tptp.u)) % 0.37/0.57 (define @t2 () (@var "A_27b" tptp.d)) % 0.37/0.57 (define @t3 () (@var "A_27a" tptp.d)) % 0.37/0.57 (define @t4 () (tptp.tyop_2Emin_2Efun @t3 @t2)) % 0.37/0.57 (define @t5 () (tptp.s @t4 @t1)) % 0.37/0.57 (define @t6 () (@var "V0f_2E0" tptp.u)) % 0.37/0.57 (define @t7 () (tptp.s @t4 @t6)) % 0.37/0.57 (define @t8 () (@var "V2x_2E0" tptp.u)) % 0.37/0.57 (define @t9 () (tptp.s @t3 @t8)) % 0.37/0.57 (define @t10 () (tptp.s @t2 (tptp.app_2E2 @t5 @t9))) % 0.37/0.57 (define @t11 () (@var "V1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.57 (define @t12 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.57 (define @t13 () (tptp.p @t11)) % 0.37/0.57 (define @t14 () (tptp.p @t12)) % 0.37/0.57 (define @t15 () (@list @t12 @t11)) % 0.37/0.57 (define @t16 () (tptp.p tptp.mono_2Ec_2Ebool_2ET_2E0)) % 0.37/0.57 (define @t17 () (tptp.p tptp.mono_2Ec_2Ebool_2EF_2E0)) % 0.37/0.57 (define @t18 () (not @t17)) % 0.37/0.57 (define @t19 () (@var "V0t_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.57 (define @t20 () (= @t19 tptp.mono_2Ec_2Ebool_2EF_2E0)) % 0.37/0.57 (define @t21 () (= @t19 tptp.mono_2Ec_2Ebool_2ET_2E0)) % 0.37/0.57 (define @t22 () (@list @t19)) % 0.37/0.57 (define @t23 () (@var "V0x_2E0" tptp.u)) % 0.37/0.57 (define @t24 () (tptp.s @t3 @t23)) % 0.37/0.57 (define @t25 () (@list @t3 @t23)) % 0.37/0.57 (define @t26 () (@var "V1y_2E0" tptp.u)) % 0.37/0.57 (define @t27 () (tptp.tyop_2Emin_2Efun @t2 @t3)) % 0.37/0.57 (define @t28 () (@var "A_27c" tptp.d)) % 0.37/0.57 (define @t29 () (tptp.tyop_2Emin_2Efun @t2 @t28)) % 0.37/0.57 (define @t30 () (tptp.tyop_2Emin_2Efun @t3 @t29)) % 0.37/0.57 (define @t31 () (tptp.s @t30 @t6)) % 0.37/0.57 (define @t32 () (tptp.tyop_2Emin_2Efun @t3 @t28)) % 0.37/0.57 (define @t33 () (tptp.tyop_2Emin_2Efun @t4 @t32)) % 0.37/0.57 (define @t34 () (@list @t12)) % 0.37/0.57 (define @t35 () (@var "V1_2E0" tptp.u)) % 0.37/0.57 (define @t36 () (tptp.s @t3 @t35)) % 0.37/0.57 (define @t37 () (@var "V0_2E0" tptp.u)) % 0.37/0.57 (define @t38 () (tptp.s @t3 @t37)) % 0.37/0.57 (define @t39 () (@var "V1x_2E0" tptp.u)) % 0.37/0.57 (define @t40 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool)) % 0.37/0.57 (define @t41 () (tptp.s @t40 @t6)) % 0.37/0.57 (define @t42 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t41 (tptp.s @t3 @t39)))))) % 0.37/0.57 (define @t43 () (@list @t39)) % 0.37/0.57 (define @t44 () (@list @t3 @t6)) % 0.37/0.57 (define @t45 () (tptp.s tptp.tyop_2Emin_2Ebool @t37)) % 0.37/0.57 (define @t46 () (@list @t37)) % 0.37/0.57 (define @t47 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) % 0.37/0.57 (define @t48 () (tptp.s @t47 @t37)) % 0.37/0.57 (define @t49 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t47)) % 0.37/0.57 (define @t50 () (tptp.s @t49 @t37)) % 0.37/0.57 (define @t51 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)) % 0.37/0.57 (define @t52 () (tptp.s @t47 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t51))) % 0.37/0.57 (define @t53 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29)) % 0.37/0.57 (define @t54 () (tptp.s @t49 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t53))) % 0.37/0.57 (define @t55 () (@var "X0_2E0" tptp.u)) % 0.37/0.57 (define @t56 () (tptp.s @t40 @t55)) % 0.37/0.57 (define @t57 () (tptp.tyop_2Emin_2Efun @t40 tptp.tyop_2Emin_2Ebool)) % 0.37/0.57 (define @t58 () (@list @t3 @t55)) % 0.37/0.57 (define @t59 () (@var "X1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.57 (define @t60 () (@var "X0_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.57 (define @t61 () (tptp.p @t59)) % 0.37/0.57 (define @t62 () (tptp.p @t60)) % 0.37/0.57 (define @t63 () (@list @t60 @t59)) % 0.37/0.57 (define @t64 () (@var "X1_2E0" tptp.u)) % 0.37/0.57 (define @t65 () (tptp.s @t3 @t64)) % 0.37/0.57 (define @t66 () (tptp.s @t3 @t55)) % 0.37/0.57 (define @t67 () (tptp.tyop_2Emin_2Efun @t2 tptp.tyop_2Emin_2Ebool)) % 0.37/0.57 (define @t68 () (tptp.s @t67 @t64)) % 0.37/0.57 (define @t69 () (tptp.tyop_2Emin_2Efun @t67 tptp.tyop_2Emin_2Ebool)) % 0.37/0.57 (define @t70 () (@list @t3 @t2 @t55 @t64)) % 0.37/0.57 (define @t71 () (tptp.s @t40 @t64)) % 0.37/0.57 (define @t72 () (tptp.s @t67 @t55)) % 0.37/0.57 (define @t73 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t11))) % 0.37/0.57 (define @t74 () (tptp.p @t19)) % 0.37/0.57 (define @t75 () (=> @t17 @t74)) % 0.37/0.57 (define @t76 () (not @t74)) % 0.37/0.57 (define @t77 () (forall @t22 (= (not @t76) @t74))) % 0.37/0.57 (define @t78 () (@var "V0s_2E0" tptp.u)) % 0.37/0.57 (define @t79 () (tptp.s @t40 @t78)) % 0.37/0.57 (define @t80 () (@var "V1t_2E0" tptp.u)) % 0.37/0.57 (define @t81 () (tptp.s @t67 @t80)) % 0.37/0.57 (define @t82 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 @t79 @t81))))) % 0.37/0.57 (define @t83 () (@list @t3 @t2 @t78 @t80)) % 0.37/0.57 (define @t84 () (@var "V0A_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.57 (define @t85 () (tptp.p @t84)) % 0.37/0.57 (define @t86 () (=> (not @t85) @t17)) % 0.37/0.57 (define @t87 () (@list @t84)) % 0.37/0.57 (define @t88 () (@var "V0B_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.57 (define @t89 () (tptp.p @t88)) % 0.37/0.57 (define @t90 () (=> (not @t89) @t17)) % 0.37/0.57 (define @t91 () (@var "V1A_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.57 (define @t92 () (tptp.p @t91)) % 0.37/0.57 (define @t93 () (@list @t88 @t91)) % 0.37/0.57 (define @t94 () (@var "V2p_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.57 (define @t95 () (tptp.p @t94)) % 0.37/0.57 (define @t96 () (not @t95)) % 0.37/0.57 (define @t97 () (@var "V1q_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.57 (define @t98 () (tptp.p @t97)) % 0.37/0.57 (define @t99 () (not @t98)) % 0.37/0.57 (define @t100 () (@var "V0r_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.57 (define @t101 () (tptp.p @t100)) % 0.37/0.57 (define @t102 () (not @t101)) % 0.37/0.57 (define @t103 () (@var "V1p_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.57 (define @t104 () (tptp.p @t103)) % 0.37/0.57 (define @t105 () (@var "V0q_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.57 (define @t106 () (tptp.p @t105)) % 0.37/0.57 (define @t107 () (not @t106)) % 0.37/0.57 (define @t108 () (not @t82)) % 0.37/0.57 (define @t109 () (forall @t83 (= @t108 @t108))) % 0.37/0.57 (define @t110 () (not @t109)) % 0.37/0.57 (assume @p1 (forall (@list @t3 @t2 @t6 @t1) (=> (forall (@list @t8) (= (tptp.s @t2 (tptp.app_2E2 @t7 @t9)) @t10)) (= @t7 @t5)))) % 0.37/0.57 (assume @p2 (forall @t15 (=> (= @t14 @t13) (= @t12 @t11)))) % 0.37/0.57 (assume @p3 @t16) % 0.37/0.57 (assume @p4 @t18) % 0.37/0.57 (assume @p5 (forall @t22 (or @t21 @t20))) % 0.37/0.57 (assume @p6 (forall @t25 (= (tptp.s @t3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t3) tptp.combin_i_2E0) @t24)) @t24))) % 0.37/0.57 (assume @p7 (forall (@list @t3 @t2 @t23 @t26) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t27 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t27) tptp.combin_k_2E0) @t24)) (tptp.s @t2 @t26))) @t24))) % 0.37/0.57 (assume @p8 (forall (@list @t3 @t2 @t28 @t6 @t1 @t8) (= (tptp.s @t28 (tptp.app_2E2 (tptp.s @t32 (tptp.app_2E2 (tptp.s @t33 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t30 @t33) tptp.combin_s_2E0) @t31)) @t5)) @t9)) (tptp.s @t28 (tptp.app_2E2 (tptp.s @t29 (tptp.app_2E2 @t31 @t9)) @t10))))) % 0.37/0.57 (assume @p9 (forall @t15 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_2F_5C_2E2 @t12 @t11)) (and @t14 @t13)))) % 0.37/0.57 (assume @p10 (forall @t15 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_5C_2F_2E2 @t12 @t11)) (or @t14 @t13)))) % 0.37/0.57 (assume @p11 (forall @t34 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_7E_2E1 @t12)) (not @t14)))) % 0.37/0.57 (assume @p12 (forall @t15 (= (tptp.p (tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E2 @t12 @t11)) (=> @t14 @t13)))) % 0.37/0.57 (assume @p13 (forall (@list @t3 @t37 @t35) (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 @t38 @t36)))) (= @t38 @t36)))) % 0.37/0.57 (assume @p14 (forall @t44 (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t41)))) (forall @t43 @t42)))) % 0.37/0.57 (assume @p15 (forall @t44 (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t41)))) (exists @t43 @t42)))) % 0.37/0.57 (assume @p16 (forall @t46 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.j_mono_2Etyop_2Emin_2Ebool @t45))) @t45))) % 0.37/0.57 (assume @p17 (forall @t46 (= (tptp.s @t47 (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 @t48))) @t48))) % 0.37/0.57 (assume @p18 (forall @t46 (= (tptp.s @t49 (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 @t50))) @t50))) % 0.37/0.57 (assume @p19 (forall @t34 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t12))) @t12))) % 0.37/0.57 (assume @p20 (forall (@list @t51) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t52) @t51))) % 0.37/0.57 (assume @p21 (forall (@list @t53) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t54) @t53))) % 0.37/0.57 (assume @p22 (forall @t58 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t56))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t57 tptp.c_2Ebool_2E_21_2E0) @t56)))))) % 0.37/0.57 (assume @p23 (forall @t63 (= (and @t62 @t61) (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 @t60) @t59))))) % 0.37/0.57 (assume @p24 (forall (@list @t3 @t55 @t64) (= (= @t66 @t65) (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t40 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t40) tptp.c_2Emin_2E_3D_2E0) @t66)) @t65))))))) % 0.37/0.57 (assume @p25 (forall @t63 (= (=> @t62 @t61) (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 @t60) @t59))))) % 0.37/0.57 (assume @p26 (forall @t58 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t56))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t57 tptp.c_2Ebool_2E_3F_2E0) @t56)))))) % 0.37/0.57 (assume @p27 (forall @t63 (= (or @t62 @t61) (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 @t60) @t59))))) % 0.37/0.57 (assume @p28 (forall @t70 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 @t56 @t68))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t69 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t40 @t69) tptp.c_2Ecardinal_2Ecardleq_2E0) @t56)) @t68)))))) % 0.37/0.57 (assume @p29 (forall @t70 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 @t72 @t71))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t57 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t67 @t57) tptp.c_2Ecardinal_2Ecardleq_2E0) @t72)) @t71)))))) % 0.37/0.57 (assume @p30 (forall (@list @t60) (= (not @t62) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2E_7E_2E0 @t60))))) % 0.37/0.57 (assume @p31 (forall (@list @t51 @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 @t51 @t11))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t52 @t73))))) % 0.37/0.57 (assume @p32 (forall (@list @t53 @t11) (= (tptp.s @t47 (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 @t53 @t11))) (tptp.s @t47 (tptp.app_2E2 @t54 @t73))))) % 0.37/0.57 (assume @p33 (forall @t22 @t75)) % 0.37/0.57 (assume @p34 (forall (@list @t3 @t19) (= (forall @t43 @t74) @t74))) % 0.37/0.57 (assume @p35 (forall @t22 (and (= (=> @t16 @t74) @t74) (= (=> @t74 @t16) @t16) (= @t75 @t16) (= (=> @t74 @t74) @t16) (= (=> @t74 @t17) @t76)))) % 0.37/0.57 (assume @p36 (and @t77 (= (not @t16) @t17) (= @t18 @t16))) % 0.37/0.57 (assume @p37 (forall @t25 (= (= @t24 @t24) @t16))) % 0.37/0.57 (assume @p38 (forall @t22 (and (= (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t19) @t74) (= @t21 @t74) (= (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t19) @t76) (= @t20 @t76)))) % 0.37/0.57 (assume @p39 (forall @t83 (or @t82 (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecardinal_2Ecardleq_2E2 @t81 @t79))))))) % 0.37/0.57 (assume @p40 @t77) % 0.37/0.57 (assume @p41 (forall @t87 (=> @t85 @t86))) % 0.37/0.57 (assume @p42 (forall @t93 (= (=> (not (or @t92 @t89)) @t17) (=> (=> @t92 @t17) @t90)))) % 0.37/0.57 (assume @p43 (forall @t93 (= (=> (not (or (not @t92) @t89)) @t17) (=> @t92 @t90)))) % 0.37/0.57 (assume @p44 (forall @t87 (=> @t86 (=> (=> @t85 @t17) @t17)))) % 0.37/0.57 (assume @p45 (forall (@list @t100 @t97 @t94) (= (= @t95 (= @t97 @t100)) (and (or @t95 @t98 @t101) (or @t95 @t102 @t99) (or @t98 @t102 @t96) (or @t101 @t99 @t96))))) % 0.37/0.57 (assume @p46 (forall (@list @t105 @t103) (= (= @t104 @t107) (and (or @t104 @t106) (or @t107 (not @t104)))))) % 0.37/0.57 (assume @p47 @t110) % 0.37/0.57 (assume @p48 true) % 0.37/0.57 (step @p49 :rule evaluate :args ((not true))) % 0.37/0.57 (step @p50 :rule quant-unused-vars :args ((= (forall @t83 true) true))) % 0.37/0.57 (step @p51 :rule eq-refl :args (@t108)) % 0.37/0.57 (step @p52 :rule cong :premises (@p51) :args (@t109)) % 0.37/0.57 (step @p53 :rule trans :premises (@p52 @p50)) % 0.37/0.57 (step @p54 :rule cong :premises (@p53) :args (@t110)) % 0.37/0.57 (step @p55 :rule trans :premises (@p54 @p49)) % 0.37/0.57 (step @p56 false :rule eq_resolve :premises (@p47 @p55)) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------