%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP009+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 : n024.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 08:24:28 AM UTC 2026 % Result : Theorem 129.48s 129.75s % Output : Proof 129.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : ITP009+1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Mon Jun 1 22:44:45 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 129.48/129.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 129.48/129.75 --- Run --no-e-matching --full-saturate-quant at 6... % 129.48/129.75 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 129.48/129.75 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 129.48/129.75 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 129.48/129.75 --- Run --trigger-sel=max --full-saturate-quant at 15... % 129.48/129.75 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 129.48/129.75 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 129.48/129.75 --- Run --prenex-quant=none --full-saturate-quant at 30... % 129.48/129.75 % SZS status Theorem % 129.48/129.75 % SZS output start Proof % 129.48/129.75 ( % 129.48/129.75 (declare-sort $$unsorted 0) % 129.48/129.75 (declare-const tptp.c_2Equotient_2E_3D_3D_3D_3E_2E4 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 129.48/129.75 (declare-const tptp.c_2Equotient_2E_2D_2D_3E_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 129.48/129.75 (declare-const tptp.c_2Equotient_2E_2D_2D_3E_2E3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 129.48/129.75 (declare-const tptp.c_2Equotient_2E_2D_2D_3E_2E0 $$unsorted) % 129.48/129.75 (declare-const tptp.c_2Equotient_2Erespects_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 129.48/129.75 (declare-const tptp.combin_s_2E0 $$unsorted) % 129.48/129.75 (declare-const tptp.combin_k_2E0 $$unsorted) % 129.48/129.75 (declare-const tptp.c_2Ecombin_2EW_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 129.48/129.75 (declare-const tptp.combin_i_2E0 $$unsorted) % 129.48/129.75 (declare-const tptp.p (-> $$unsorted Bool)) % 129.48/129.75 (declare-const tptp.tyop_2Emin_2Ebool $$unsorted) % 129.48/129.75 (declare-const tptp.c_2Equotient_2EQUOTIENT_2E3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 129.48/129.75 (declare-const tptp.c_2Equotient_2E_3D_3D_3D_3E_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 129.48/129.75 (declare-const tptp.c_2Ebool_2E_7E_2E1 (-> $$unsorted $$unsorted)) % 129.48/129.75 (declare-const tptp.c_2Equotient_2EQUOTIENT_2E0 $$unsorted) % 129.48/129.75 (declare-const tptp.c_2Emin_2E_3D_3D_3E_2E0 $$unsorted) % 129.48/129.75 (declare-const tptp.c_2Equotient_2E_3D_3D_3D_3E_2E0 $$unsorted) % 129.48/129.75 (declare-const tptp.c_2Ebool_2EF_2E0 $$unsorted) % 129.48/129.75 (declare-const tptp.s (-> $$unsorted $$unsorted $$unsorted)) % 129.48/129.75 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> $$unsorted $$unsorted)) % 129.48/129.75 (declare-const tptp.c_2Ebool_2ET_2E0 $$unsorted) % 129.48/129.75 (declare-const tptp.c_2Ebool_2E_2F_5C_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 129.48/129.75 (declare-const tptp.c_2Ecombin_2EW_2E0 $$unsorted) % 129.48/129.75 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 129.48/129.75 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> $$unsorted $$unsorted)) % 129.48/129.75 (declare-const tptp.app_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 129.48/129.75 (declare-const tptp.c_2Ebool_2E_2F_5C_2E0 $$unsorted) % 129.48/129.75 (declare-const tptp.c_2Ebool_2E_7E_2E0 $$unsorted) % 129.48/129.75 (declare-const tptp.tyop_2Emin_2Efun (-> $$unsorted $$unsorted $$unsorted)) % 129.48/129.75 (declare-const tptp.c_2Equotient_2Erespects_2E0 $$unsorted) % 129.48/129.75 (declare-const tptp.c_2Emin_2E_3D_3D_3E_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 129.48/129.75 (declare-const tptp.c_2Ebool_2E_5C_2F_2E0 $$unsorted) % 129.48/129.75 (declare-const tptp.c_2Emin_2E_3D_2E0 $$unsorted) % 129.48/129.75 (declare-const tptp.c_2Ebool_2E_5C_2F_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 129.48/129.75 (declare-const tptp.c_2Ebool_2E_21_2E0 $$unsorted) % 129.48/129.75 (declare-const tptp.c_2Ebool_2E_3F_2E0 $$unsorted) % 129.48/129.75 (define @t1 () (@var "V1g_2E0" $$unsorted)) % 129.48/129.75 (define @t2 () (@var "A_27b" $$unsorted)) % 129.48/129.75 (define @t3 () (@var "A_27a" $$unsorted)) % 129.48/129.75 (define @t4 () (tptp.tyop_2Emin_2Efun @t3 @t2)) % 129.48/129.75 (define @t5 () (tptp.s @t4 @t1)) % 129.48/129.75 (define @t6 () (@var "V0f_2E0" $$unsorted)) % 129.48/129.75 (define @t7 () (tptp.s @t4 @t6)) % 129.48/129.75 (define @t8 () (@var "V2x_2E0" $$unsorted)) % 129.48/129.75 (define @t9 () (tptp.s @t3 @t8)) % 129.48/129.75 (define @t10 () (tptp.s @t2 (tptp.app_2E2 @t5 @t9))) % 129.48/129.75 (define @t11 () (@var "V1_2E0" $$unsorted)) % 129.48/129.75 (define @t12 () (tptp.s tptp.tyop_2Emin_2Ebool @t11)) % 129.48/129.75 (define @t13 () (@var "V0_2E0" $$unsorted)) % 129.48/129.75 (define @t14 () (tptp.s tptp.tyop_2Emin_2Ebool @t13)) % 129.48/129.75 (define @t15 () (tptp.p @t12)) % 129.48/129.75 (define @t16 () (tptp.p @t14)) % 129.48/129.75 (define @t17 () (@list @t13 @t11)) % 129.48/129.75 (define @t18 () (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)) % 129.48/129.75 (define @t19 () (tptp.p @t18)) % 129.48/129.75 (define @t20 () (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)) % 129.48/129.75 (define @t21 () (tptp.p @t20)) % 129.48/129.75 (define @t22 () (@var "V0t_2E0" $$unsorted)) % 129.48/129.75 (define @t23 () (tptp.s tptp.tyop_2Emin_2Ebool @t22)) % 129.48/129.75 (define @t24 () (= @t23 @t20)) % 129.48/129.75 (define @t25 () (= @t23 @t18)) % 129.48/129.75 (define @t26 () (@list @t22)) % 129.48/129.75 (define @t27 () (@var "V0x_2E0" $$unsorted)) % 129.48/129.75 (define @t28 () (tptp.s @t3 @t27)) % 129.48/129.75 (define @t29 () (@var "V1y_2E0" $$unsorted)) % 129.48/129.75 (define @t30 () (tptp.tyop_2Emin_2Efun @t2 @t3)) % 129.48/129.75 (define @t31 () (@var "A_27c" $$unsorted)) % 129.48/129.75 (define @t32 () (tptp.tyop_2Emin_2Efun @t2 @t31)) % 129.48/129.75 (define @t33 () (tptp.tyop_2Emin_2Efun @t3 @t32)) % 129.48/129.75 (define @t34 () (tptp.s @t33 @t6)) % 129.48/129.75 (define @t35 () (tptp.tyop_2Emin_2Efun @t3 @t31)) % 129.48/129.75 (define @t36 () (tptp.tyop_2Emin_2Efun @t4 @t35)) % 129.48/129.75 (define @t37 () (tptp.s @t3 @t11)) % 129.48/129.75 (define @t38 () (tptp.s @t3 @t13)) % 129.48/129.75 (define @t39 () (@var "V1x_2E0" $$unsorted)) % 129.48/129.75 (define @t40 () (tptp.s @t3 @t39)) % 129.48/129.75 (define @t41 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool)) % 129.48/129.75 (define @t42 () (tptp.s @t41 @t6)) % 129.48/129.75 (define @t43 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t42 @t40)))) % 129.48/129.75 (define @t44 () (@list @t39)) % 129.48/129.75 (define @t45 () (@list @t3 @t6)) % 129.48/129.75 (define @t46 () (@var "X1_2E0" $$unsorted)) % 129.48/129.75 (define @t47 () (tptp.s tptp.tyop_2Emin_2Ebool @t46)) % 129.48/129.75 (define @t48 () (@var "X0_2E0" $$unsorted)) % 129.48/129.75 (define @t49 () (tptp.s tptp.tyop_2Emin_2Ebool @t48)) % 129.48/129.75 (define @t50 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) % 129.48/129.75 (define @t51 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t50)) % 129.48/129.75 (define @t52 () (tptp.p @t47)) % 129.48/129.75 (define @t53 () (tptp.p @t49)) % 129.48/129.75 (define @t54 () (@list @t48 @t46)) % 129.48/129.75 (define @t55 () (tptp.s @t3 @t46)) % 129.48/129.75 (define @t56 () (tptp.s @t3 @t48)) % 129.48/129.75 (define @t57 () (tptp.tyop_2Emin_2Efun @t3 @t41)) % 129.48/129.75 (define @t58 () (tptp.s @t41 @t48)) % 129.48/129.75 (define @t59 () (tptp.tyop_2Emin_2Efun @t41 tptp.tyop_2Emin_2Ebool)) % 129.48/129.75 (define @t60 () (@list @t3 @t48)) % 129.48/129.75 (define @t61 () (tptp.tyop_2Emin_2Efun @t3 @t4)) % 129.48/129.75 (define @t62 () (tptp.s @t61 @t48)) % 129.48/129.75 (define @t63 () (tptp.tyop_2Emin_2Efun @t61 @t4)) % 129.48/129.75 (define @t64 () (tptp.s @t63 tptp.c_2Ecombin_2EW_2E0)) % 129.48/129.75 (define @t65 () (@list @t3 @t2 @t48 @t46)) % 129.48/129.75 (define @t66 () (tptp.tyop_2Emin_2Efun @t2 (tptp.tyop_2Emin_2Efun @t2 tptp.tyop_2Emin_2Ebool))) % 129.48/129.75 (define @t67 () (tptp.s @t66 @t46)) % 129.48/129.75 (define @t68 () (tptp.s @t57 @t48)) % 129.48/129.75 (define @t69 () (tptp.tyop_2Emin_2Efun @t4 tptp.tyop_2Emin_2Ebool)) % 129.48/129.75 (define @t70 () (tptp.tyop_2Emin_2Efun @t4 @t69)) % 129.48/129.75 (define @t71 () (tptp.tyop_2Emin_2Efun @t66 @t70)) % 129.48/129.75 (define @t72 () (tptp.s @t70 (tptp.app_2E2 (tptp.s @t71 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t57 @t71) tptp.c_2Equotient_2E_3D_3D_3D_3E_2E0) @t68)) @t67))) % 129.48/129.75 (define @t73 () (tptp.s @t4 @t46)) % 129.48/129.75 (define @t74 () (tptp.s @t70 @t48)) % 129.48/129.75 (define @t75 () (@var "X2_2E0" $$unsorted)) % 129.48/129.75 (define @t76 () (tptp.s @t4 @t75)) % 129.48/129.75 (define @t77 () (@var "A_27d" $$unsorted)) % 129.48/129.75 (define @t78 () (tptp.tyop_2Emin_2Efun @t2 @t77)) % 129.48/129.75 (define @t79 () (tptp.s @t78 @t46)) % 129.48/129.75 (define @t80 () (tptp.tyop_2Emin_2Efun @t31 @t3)) % 129.48/129.75 (define @t81 () (tptp.s @t80 @t48)) % 129.48/129.75 (define @t82 () (tptp.tyop_2Emin_2Efun @t31 @t77)) % 129.48/129.75 (define @t83 () (tptp.tyop_2Emin_2Efun @t4 @t82)) % 129.48/129.75 (define @t84 () (tptp.tyop_2Emin_2Efun @t78 @t83)) % 129.48/129.75 (define @t85 () (tptp.s @t83 (tptp.app_2E2 (tptp.s @t84 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t80 @t84) tptp.c_2Equotient_2E_2D_2D_3E_2E0) @t81)) @t79))) % 129.48/129.75 (define @t86 () (@list @t3 @t2 @t31 @t77 @t48 @t46 @t75)) % 129.48/129.75 (define @t87 () (tptp.s @t30 @t75)) % 129.48/129.75 (define @t88 () (tptp.tyop_2Emin_2Efun @t30 tptp.tyop_2Emin_2Ebool)) % 129.48/129.75 (define @t89 () (tptp.tyop_2Emin_2Efun @t4 @t88)) % 129.48/129.75 (define @t90 () (tptp.s @t80 @t75)) % 129.48/129.75 (define @t91 () (tptp.s @t35 @t46)) % 129.48/129.75 (define @t92 () (tptp.tyop_2Emin_2Efun @t80 tptp.tyop_2Emin_2Ebool)) % 129.48/129.75 (define @t93 () (tptp.tyop_2Emin_2Efun @t35 @t92)) % 129.48/129.75 (define @t94 () (tptp.tyop_2Emin_2Efun @t77 @t2)) % 129.48/129.75 (define @t95 () (tptp.s @t94 @t75)) % 129.48/129.75 (define @t96 () (tptp.s @t66 @t48)) % 129.48/129.75 (define @t97 () (tptp.tyop_2Emin_2Efun @t94 tptp.tyop_2Emin_2Ebool)) % 129.48/129.75 (define @t98 () (tptp.tyop_2Emin_2Efun @t78 @t97)) % 129.48/129.75 (define @t99 () (tptp.s @t94 @t46)) % 129.48/129.75 (define @t100 () (tptp.s @t35 @t48)) % 129.48/129.75 (define @t101 () (tptp.tyop_2Emin_2Efun @t82 @t4)) % 129.48/129.75 (define @t102 () (tptp.tyop_2Emin_2Efun @t94 @t101)) % 129.48/129.75 (define @t103 () (@list @t3 @t2 @t31 @t77 @t48 @t46)) % 129.48/129.75 (define @t104 () (tptp.s @t101 @t75)) % 129.48/129.75 (define @t105 () (tptp.s @t83 @t46)) % 129.48/129.75 (define @t106 () (tptp.tyop_2Emin_2Efun @t101 tptp.tyop_2Emin_2Ebool)) % 129.48/129.75 (define @t107 () (tptp.tyop_2Emin_2Efun @t83 @t106)) % 129.48/129.75 (define @t108 () (@var "X3_2E0" $$unsorted)) % 129.48/129.75 (define @t109 () (tptp.s @t4 @t108)) % 129.48/129.75 (define @t110 () (@var "V1t2_2E0" $$unsorted)) % 129.48/129.75 (define @t111 () (tptp.s tptp.tyop_2Emin_2Ebool @t110)) % 129.48/129.75 (define @t112 () (@var "V0t1_2E0" $$unsorted)) % 129.48/129.75 (define @t113 () (tptp.s tptp.tyop_2Emin_2Ebool @t112)) % 129.48/129.75 (define @t114 () (tptp.p @t113)) % 129.48/129.75 (define @t115 () (tptp.p @t111)) % 129.48/129.75 (define @t116 () (tptp.p @t23)) % 129.48/129.75 (define @t117 () (not @t116)) % 129.48/129.75 (define @t118 () (@var "V2t3_2E0" $$unsorted)) % 129.48/129.75 (define @t119 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t118))) % 129.48/129.75 (define @t120 () (tptp.s @t61 @t6)) % 129.48/129.75 (define @t121 () (forall (@list @t3 @t2 @t6 @t39) (= (tptp.s @t2 (tptp.c_2Ecombin_2EW_2E2 @t120 @t40)) (tptp.s @t2 (tptp.app_2E2 (tptp.s @t4 (tptp.app_2E2 @t120 @t40)) @t40))))) % 129.48/129.75 (define @t122 () (@var "V4s_2E0" $$unsorted)) % 129.48/129.75 (define @t123 () (tptp.s @t3 @t122)) % 129.48/129.75 (define @t124 () (@var "V1abs_2E0" $$unsorted)) % 129.48/129.75 (define @t125 () (tptp.s @t4 @t124)) % 129.48/129.75 (define @t126 () (@var "V3r_2E0" $$unsorted)) % 129.48/129.75 (define @t127 () (tptp.s @t3 @t126)) % 129.48/129.75 (define @t128 () (@var "V0R_2E0" $$unsorted)) % 129.48/129.75 (define @t129 () (tptp.s @t57 @t128)) % 129.48/129.75 (define @t130 () (tptp.s @t41 (tptp.app_2E2 @t129 @t127))) % 129.48/129.75 (define @t131 () (@list @t126 @t122)) % 129.48/129.75 (define @t132 () (forall @t131 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t130 @t123))) (and (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t130 @t127))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t41 (tptp.app_2E2 @t129 @t123)) @t123))) (= (tptp.s @t2 (tptp.app_2E2 @t125 @t127)) (tptp.s @t2 (tptp.app_2E2 @t125 @t123))))))) % 129.48/129.75 (define @t133 () (@var "V2rep_2E0" $$unsorted)) % 129.48/129.75 (define @t134 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2EQUOTIENT_2E3 @t129 @t125 (tptp.s @t30 @t133))))) % 129.48/129.75 (define @t135 () (forall (@list @t3 @t2 @t128 @t124 @t133) (=> @t134 @t132))) % 129.48/129.75 (define @t136 () (@var "V5rep2_2E0" $$unsorted)) % 129.48/129.75 (define @t137 () (tptp.s @t94 @t136)) % 129.48/129.75 (define @t138 () (@var "V1abs1_2E0" $$unsorted)) % 129.48/129.75 (define @t139 () (tptp.s @t35 @t138)) % 129.48/129.75 (define @t140 () (@var "V4abs2_2E0" $$unsorted)) % 129.48/129.75 (define @t141 () (tptp.s @t78 @t140)) % 129.48/129.75 (define @t142 () (@var "V2rep1_2E0" $$unsorted)) % 129.48/129.75 (define @t143 () (tptp.s @t80 @t142)) % 129.48/129.75 (define @t144 () (@var "V3R2_2E0" $$unsorted)) % 129.48/129.75 (define @t145 () (tptp.s @t66 @t144)) % 129.48/129.75 (define @t146 () (@var "V0R1_2E0" $$unsorted)) % 129.48/129.75 (define @t147 () (tptp.s @t57 @t146)) % 129.48/129.75 (define @t148 () (tptp.s @t70 (tptp.c_2Equotient_2E_3D_3D_3D_3E_2E2 @t147 @t145))) % 129.48/129.75 (define @t149 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2EQUOTIENT_2E3 @t148 (tptp.s @t83 (tptp.c_2Equotient_2E_2D_2D_3E_2E2 @t143 @t141)) (tptp.s @t101 (tptp.c_2Equotient_2E_2D_2D_3E_2E2 @t139 @t137)))))) % 129.48/129.75 (define @t150 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2EQUOTIENT_2E3 @t145 @t141 @t137)))) % 129.48/129.75 (define @t151 () (@list @t144 @t140 @t136)) % 129.48/129.75 (define @t152 () (forall @t151 (=> @t150 @t149))) % 129.48/129.75 (define @t153 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2EQUOTIENT_2E3 @t147 @t139 @t143)))) % 129.48/129.75 (define @t154 () (=> @t153 @t152)) % 129.48/129.75 (define @t155 () (@list @t3 @t2 @t31 @t77 @t146 @t138 @t142)) % 129.48/129.75 (define @t156 () (forall @t155 @t154)) % 129.48/129.75 (define @t157 () (tptp.s @t63 tptp.c_2Equotient_2Erespects_2E0)) % 129.48/129.75 (define @t158 () (@list @t3 @t2)) % 129.48/129.75 (define @t159 () (forall @t158 (= @t157 @t64))) % 129.48/129.75 (define @t160 () (@var "V7g_2E0" $$unsorted)) % 129.48/129.75 (define @t161 () (tptp.s @t4 @t160)) % 129.48/129.75 (define @t162 () (@var "V6f_2E0" $$unsorted)) % 129.48/129.75 (define @t163 () (tptp.s @t4 @t162)) % 129.48/129.75 (define @t164 () (@list @t162 @t160)) % 129.48/129.75 (define @t165 () (forall @t164 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2E_3D_3D_3D_3E_2E4 @t147 @t145 @t163 @t161))) (and (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2Erespects_2E2 @t148 @t163))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2Erespects_2E2 @t148 @t161))) (= (tptp.s @t82 (tptp.c_2Equotient_2E_2D_2D_3E_2E3 @t143 @t141 @t163)) (tptp.s @t82 (tptp.c_2Equotient_2E_2D_2D_3E_2E3 @t143 @t141 @t161))))))) % 129.48/129.75 (define @t166 () (forall @t151 (=> @t150 @t165))) % 129.48/129.75 (define @t167 () (=> @t153 @t166)) % 129.48/129.75 (define @t168 () (forall @t155 @t167)) % 129.48/129.75 (define @t169 () (not @t168)) % 129.48/129.75 (define @t170 () (not @t150)) % 129.48/129.75 (define @t171 () (forall @t151 (or @t170 @t165))) % 129.48/129.75 (define @t172 () (forall @t155 (or (not @t153) @t171))) % 129.48/129.75 (define @t173 () (@quantifiers_skolemize @t172 1)) % 129.48/129.75 (define @t174 () (@quantifiers_skolemize @t172 0)) % 129.48/129.75 (define @t175 () (tptp.tyop_2Emin_2Efun @t174 @t173)) % 129.48/129.75 (define @t176 () (tptp.s @t175 @t160)) % 129.48/129.75 (define @t177 () (@quantifiers_skolemize @t172 3)) % 129.48/129.75 (define @t178 () (tptp.tyop_2Emin_2Efun @t173 @t177)) % 129.48/129.75 (define @t179 () (tptp.s @t178 @t140)) % 129.48/129.75 (define @t180 () (@quantifiers_skolemize @t172 6)) % 129.48/129.75 (define @t181 () (@quantifiers_skolemize @t172 2)) % 129.48/129.75 (define @t182 () (tptp.tyop_2Emin_2Efun @t181 @t174)) % 129.48/129.75 (define @t183 () (tptp.s @t182 @t180)) % 129.48/129.75 (define @t184 () (tptp.tyop_2Emin_2Efun @t181 @t177)) % 129.48/129.75 (define @t185 () (tptp.s @t175 @t162)) % 129.48/129.75 (define @t186 () (tptp.tyop_2Emin_2Efun @t173 (tptp.tyop_2Emin_2Efun @t173 tptp.tyop_2Emin_2Ebool))) % 129.48/129.75 (define @t187 () (tptp.s @t186 @t144)) % 129.48/129.75 (define @t188 () (@quantifiers_skolemize @t172 4)) % 129.48/129.75 (define @t189 () (tptp.tyop_2Emin_2Efun @t174 (tptp.tyop_2Emin_2Efun @t174 tptp.tyop_2Emin_2Ebool))) % 129.48/129.75 (define @t190 () (tptp.s @t189 @t188)) % 129.48/129.75 (define @t191 () (tptp.tyop_2Emin_2Efun @t175 tptp.tyop_2Emin_2Ebool)) % 129.48/129.75 (define @t192 () (tptp.tyop_2Emin_2Efun @t175 @t191)) % 129.48/129.75 (define @t193 () (tptp.s @t192 (tptp.c_2Equotient_2E_3D_3D_3D_3E_2E2 @t190 @t187))) % 129.48/129.75 (define @t194 () (tptp.tyop_2Emin_2Efun @t177 @t173)) % 129.48/129.75 (define @t195 () (tptp.s @t194 @t136)) % 129.48/129.75 (define @t196 () (not (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2EQUOTIENT_2E3 @t187 @t179 @t195))))) % 129.48/129.75 (define @t197 () (forall @t151 (or @t196 (forall @t164 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2E_3D_3D_3D_3E_2E4 @t190 @t187 @t185 @t176))) (and (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2Erespects_2E2 @t193 @t185))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2Erespects_2E2 @t193 @t176))) (= (tptp.s @t184 (tptp.c_2Equotient_2E_2D_2D_3E_2E3 @t183 @t179 @t185)) (tptp.s @t184 (tptp.c_2Equotient_2E_2D_2D_3E_2E3 @t183 @t179 @t176))))))))) % 129.48/129.75 (define @t198 () (@quantifiers_skolemize @t197 1)) % 129.48/129.75 (define @t199 () (tptp.s @t178 @t198)) % 129.48/129.75 (define @t200 () (@quantifiers_skolemize @t197 0)) % 129.48/129.75 (define @t201 () (tptp.s @t186 @t200)) % 129.48/129.75 (define @t202 () (tptp.c_2Equotient_2E_3D_3D_3D_3E_2E2 @t190 @t201)) % 129.48/129.75 (define @t203 () (tptp.s @t192 @t202)) % 129.48/129.75 (define @t204 () (forall @t164 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2E_3D_3D_3D_3E_2E4 @t190 @t201 @t185 @t176))) (and (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2Erespects_2E2 @t203 @t185))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2Erespects_2E2 @t203 @t176))) (= (tptp.s @t184 (tptp.c_2Equotient_2E_2D_2D_3E_2E3 @t183 @t199 @t185)) (tptp.s @t184 (tptp.c_2Equotient_2E_2D_2D_3E_2E3 @t183 @t199 @t176))))))) % 129.48/129.75 (define @t205 () (@quantifiers_skolemize @t204 0)) % 129.48/129.75 (define @t206 () (@quantifiers_skolemize @t204 1)) % 129.48/129.75 (define @t207 () (@quantifiers_skolemize @t172 5)) % 129.48/129.75 (define @t208 () (tptp.s (tptp.tyop_2Emin_2Efun @t174 @t181) @t207)) % 129.48/129.75 (define @t209 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2EQUOTIENT_2E3 @t190 @t208 @t183)))) % 129.48/129.75 (define @t210 () (not @t209)) % 129.48/129.75 (define @t211 () (or @t210 @t197)) % 129.48/129.75 (define @t212 () (@list true)) % 129.48/129.75 (define @t213 () (@list @t211)) % 129.48/129.75 (define @t214 () (@quantifiers_skolemize @t197 2)) % 129.48/129.75 (define @t215 () (tptp.s @t194 @t214)) % 129.48/129.75 (define @t216 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2EQUOTIENT_2E3 @t201 @t199 @t215)))) % 129.48/129.75 (define @t217 () (not @t216)) % 129.48/129.75 (define @t218 () (or @t217 @t204)) % 129.48/129.75 (define @t219 () (@list @t218)) % 129.48/129.75 (define @t220 () (tptp.s @t175 @t206)) % 129.48/129.75 (define @t221 () (tptp.s @t184 (tptp.c_2Equotient_2E_2D_2D_3E_2E3 @t183 @t199 @t220))) % 129.48/129.75 (define @t222 () (tptp.s @t175 @t205)) % 129.48/129.75 (define @t223 () (tptp.s @t184 (tptp.c_2Equotient_2E_2D_2D_3E_2E3 @t183 @t199 @t222))) % 129.48/129.75 (define @t224 () (= @t223 @t221)) % 129.48/129.75 (define @t225 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2Erespects_2E2 @t203 @t220))) % 129.48/129.75 (define @t226 () (tptp.p @t225)) % 129.48/129.75 (define @t227 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2Erespects_2E2 @t203 @t222))) % 129.48/129.75 (define @t228 () (tptp.p @t227)) % 129.48/129.75 (define @t229 () (and @t228 @t226 @t224)) % 129.48/129.75 (define @t230 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2E_3D_3D_3D_3E_2E4 @t190 @t201 @t222 @t220))) % 129.48/129.75 (define @t231 () (tptp.p @t230)) % 129.48/129.75 (define @t232 () (= @t231 @t229)) % 129.48/129.75 (define @t233 () (tptp.tyop_2Emin_2Efun @t186 @t192)) % 129.48/129.75 (define @t234 () (tptp.app_2E2 (tptp.s @t233 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t189 @t233) tptp.c_2Equotient_2E_3D_3D_3D_3E_2E0) @t190)) @t201)) % 129.48/129.75 (define @t235 () (tptp.s @t192 @t234)) % 129.48/129.75 (define @t236 () (= @t203 @t235)) % 129.48/129.75 (define @t237 () (tptp.app_2E2 @t235 @t222)) % 129.48/129.75 (define @t238 () (tptp.s @t191 @t237)) % 129.48/129.75 (define @t239 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t238 @t220))) % 129.48/129.75 (define @t240 () (= @t230 @t239)) % 129.48/129.75 (define @t241 () (tptp.app_2E2 @t203 @t222)) % 129.48/129.75 (define @t242 () (tptp.s @t191 @t241)) % 129.48/129.75 (define @t243 () (tptp.app_2E2 @t242 @t220)) % 129.48/129.75 (define @t244 () (tptp.s tptp.tyop_2Emin_2Ebool @t243)) % 129.48/129.75 (define @t245 () (tptp.p @t244)) % 129.48/129.75 (define @t246 () (and @t231 @t236 @t240)) % 129.48/129.75 (define @t247 () (tptp.c_2Equotient_2E_2D_2D_3E_2E2 @t208 @t215)) % 129.48/129.75 (define @t248 () (tptp.c_2Equotient_2E_2D_2D_3E_2E2 @t183 @t199)) % 129.48/129.75 (define @t249 () (forall @t151 (or @t170 @t149))) % 129.48/129.75 (define @t250 () (tptp.tyop_2Emin_2Efun @t184 @t175)) % 129.48/129.75 (define @t251 () (tptp.tyop_2Emin_2Efun @t175 @t184)) % 129.48/129.75 (define @t252 () (forall @t151 (or @t196 (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2EQUOTIENT_2E3 @t193 (tptp.s @t251 (tptp.c_2Equotient_2E_2D_2D_3E_2E2 @t183 @t179)) (tptp.s @t250 (tptp.c_2Equotient_2E_2D_2D_3E_2E2 @t208 @t195)))))))) % 129.48/129.75 (define @t253 () (or @t210 @t252)) % 129.48/129.75 (define @t254 () (@list false false)) % 129.48/129.75 (define @t255 () (tptp.s @t250 @t247)) % 129.48/129.75 (define @t256 () (tptp.s @t251 @t248)) % 129.48/129.75 (define @t257 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2EQUOTIENT_2E3 @t203 @t256 @t255)))) % 129.48/129.75 (define @t258 () (or @t217 @t257)) % 129.48/129.75 (define @t259 () (tptp.s @t175 @t122)) % 129.48/129.75 (define @t260 () (tptp.s @t175 @t126)) % 129.48/129.75 (define @t261 () (= (tptp.s @t184 (tptp.app_2E2 @t256 @t260)) (tptp.s @t184 (tptp.app_2E2 @t256 @t259)))) % 129.48/129.75 (define @t262 () (tptp.s @t191 (tptp.app_2E2 @t203 @t260))) % 129.48/129.75 (define @t263 () (forall @t131 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t262 @t259))) (and (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t262 @t260))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t191 (tptp.app_2E2 @t203 @t259)) @t259))) @t261)))) % 129.48/129.75 (define @t264 () (not @t257)) % 129.48/129.75 (define @t265 () (or @t264 @t263)) % 129.48/129.75 (define @t266 () (@list @t205 @t206)) % 129.48/129.75 (define @t267 () (tptp.app_2E2 @t256 @t220)) % 129.48/129.75 (define @t268 () (tptp.s @t184 @t267)) % 129.48/129.75 (define @t269 () (tptp.app_2E2 @t256 @t222)) % 129.48/129.75 (define @t270 () (tptp.s @t184 @t269)) % 129.48/129.75 (define @t271 () (= @t270 @t268)) % 129.48/129.75 (define @t272 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t191 (tptp.app_2E2 @t203 @t220)) @t220))) % 129.48/129.75 (define @t273 () (tptp.p @t272)) % 129.48/129.75 (define @t274 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t242 @t222))) % 129.48/129.75 (define @t275 () (tptp.p @t274)) % 129.48/129.75 (define @t276 () (and @t275 @t273 @t271)) % 129.48/129.75 (define @t277 () (= @t245 @t276)) % 129.48/129.75 (define @t278 () (not @t276)) % 129.48/129.75 (define @t279 () (@list @t175 tptp.tyop_2Emin_2Ebool @t202 @t205)) % 129.48/129.75 (define @t280 () (tptp.tyop_2Emin_2Efun @t192 @t191)) % 129.48/129.75 (define @t281 () (tptp.s @t280 tptp.c_2Ecombin_2EW_2E0)) % 129.48/129.75 (define @t282 () (tptp.s @t280 tptp.c_2Equotient_2Erespects_2E0)) % 129.48/129.75 (define @t283 () (forall @t158 (= @t64 @t157))) % 129.48/129.75 (define @t284 () (= @t281 @t282)) % 129.48/129.75 (define @t285 () (= @t282 @t281)) % 129.48/129.75 (define @t286 () (@list false)) % 129.48/129.75 (define @t287 () (tptp.app_2E2 @t282 @t203)) % 129.48/129.75 (define @t288 () (tptp.s @t191 @t287)) % 129.48/129.75 (define @t289 () (tptp.app_2E2 @t288 @t222)) % 129.48/129.75 (define @t290 () (tptp.s tptp.tyop_2Emin_2Ebool @t289)) % 129.48/129.75 (define @t291 () (= @t227 @t290)) % 129.48/129.75 (define @t292 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecombin_2EW_2E2 @t203 @t222))) % 129.48/129.75 (define @t293 () (= @t292 @t274)) % 129.48/129.75 (define @t294 () (tptp.app_2E2 @t281 @t203)) % 129.48/129.75 (define @t295 () (tptp.s @t191 @t294)) % 129.48/129.75 (define @t296 () (tptp.app_2E2 @t295 @t222)) % 129.48/129.75 (define @t297 () (tptp.s tptp.tyop_2Emin_2Ebool @t296)) % 129.48/129.75 (define @t298 () (= @t292 @t297)) % 129.48/129.75 (define @t299 () (tptp.app_2E2 @t238 @t222)) % 129.48/129.75 (define @t300 () (tptp.s tptp.tyop_2Emin_2Ebool @t299)) % 129.48/129.75 (define @t301 () (tptp.p @t300)) % 129.48/129.75 (define @t302 () (tptp.app_2E2 @t281 @t235)) % 129.48/129.75 (define @t303 () (tptp.s @t191 @t302)) % 129.48/129.75 (define @t304 () (tptp.app_2E2 @t303 @t222)) % 129.48/129.75 (define @t305 () (and @t236 @t291 @t293 @t285 @t275 @t298)) % 129.48/129.75 (define @t306 () (not @t298)) % 129.48/129.75 (define @t307 () (not @t285)) % 129.48/129.75 (define @t308 () (not @t293)) % 129.48/129.75 (define @t309 () (not @t291)) % 129.48/129.75 (define @t310 () (not @t236)) % 129.48/129.75 (define @t311 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ecombin_2EW_2E2 @t203 @t220))) % 129.48/129.75 (define @t312 () (= @t311 @t272)) % 129.48/129.75 (define @t313 () (@list @t175 tptp.tyop_2Emin_2Ebool @t202 @t206)) % 129.48/129.75 (define @t314 () (= @t272 @t311)) % 129.48/129.75 (define @t315 () (tptp.app_2E2 @t288 @t220)) % 129.48/129.75 (define @t316 () (tptp.s tptp.tyop_2Emin_2Ebool @t315)) % 129.48/129.75 (define @t317 () (= @t225 @t316)) % 129.48/129.75 (define @t318 () (tptp.app_2E2 @t295 @t220)) % 129.48/129.75 (define @t319 () (tptp.s tptp.tyop_2Emin_2Ebool @t318)) % 129.48/129.75 (define @t320 () (= @t311 @t319)) % 129.48/129.75 (define @t321 () (tptp.app_2E2 @t235 @t220)) % 129.48/129.75 (define @t322 () (tptp.s @t191 @t321)) % 129.48/129.75 (define @t323 () (tptp.app_2E2 @t322 @t220)) % 129.48/129.75 (define @t324 () (tptp.s tptp.tyop_2Emin_2Ebool @t323)) % 129.48/129.75 (define @t325 () (tptp.p @t324)) % 129.48/129.75 (define @t326 () (and @t236 @t285 @t273 @t317 @t314 @t320)) % 129.48/129.75 (define @t327 () (not @t320)) % 129.48/129.75 (define @t328 () (not @t314)) % 129.48/129.75 (define @t329 () (not @t317)) % 129.48/129.75 (define @t330 () (tptp.tyop_2Emin_2Efun @t178 @t251)) % 129.48/129.75 (define @t331 () (tptp.s @t251 (tptp.app_2E2 (tptp.s @t330 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t182 @t330) tptp.c_2Equotient_2E_2D_2D_3E_2E0) @t183)) @t199))) % 129.48/129.75 (define @t332 () (= @t256 @t331)) % 129.48/129.75 (define @t333 () (tptp.app_2E2 @t331 @t220)) % 129.48/129.75 (define @t334 () (tptp.s @t184 @t333)) % 129.48/129.75 (define @t335 () (= @t221 @t334)) % 129.48/129.75 (define @t336 () (tptp.app_2E2 @t331 @t222)) % 129.48/129.75 (define @t337 () (tptp.s @t184 @t336)) % 129.48/129.75 (define @t338 () (= @t223 @t337)) % 129.48/129.75 (define @t339 () (and @t332 @t271 @t335 @t338)) % 129.48/129.75 (define @t340 () (not @t338)) % 129.48/129.75 (define @t341 () (not @t335)) % 129.48/129.75 (define @t342 () (not @t271)) % 129.48/129.75 (define @t343 () (not @t332)) % 129.48/129.75 (define @t344 () (not @t231)) % 129.48/129.75 (define @t345 () (not @t229)) % 129.48/129.75 (define @t346 () (@list @t229)) % 129.48/129.75 (define @t347 () (and @t224 @t332 @t335 @t338)) % 129.48/129.75 (define @t348 () (and @t226 @t236 @t285 @t317 @t314 @t320)) % 129.48/129.75 (define @t349 () (@list false false false false false false)) % 129.48/129.75 (define @t350 () (and @t228 @t236 @t291 @t293 @t285 @t298)) % 129.48/129.75 (define @t351 () (tptp.c_2Equotient_2EQUOTIENT_2E3 @t235 @t256 @t255)) % 129.48/129.75 (define @t352 () (tptp.s tptp.tyop_2Emin_2Ebool @t351)) % 129.48/129.75 (define @t353 () (tptp.p @t352)) % 129.48/129.75 (define @t354 () (tptp.s @t191 (tptp.app_2E2 @t235 @t260))) % 129.48/129.75 (define @t355 () (forall @t131 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t354 @t259))) (and (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t354 @t260))) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t191 (tptp.app_2E2 @t235 @t259)) @t259))) @t261)))) % 129.48/129.75 (define @t356 () (not @t353)) % 129.48/129.75 (define @t357 () (or @t356 @t355)) % 129.48/129.75 (define @t358 () (tptp.p @t239)) % 129.48/129.75 (define @t359 () (not @t358)) % 129.48/129.75 (define @t360 () (not @t240)) % 129.48/129.75 (define @t361 () (and @t344 @t240)) % 129.48/129.75 (define @t362 () (@list true false)) % 129.48/129.75 (define @t363 () (and @t301 @t325 @t271)) % 129.48/129.75 (define @t364 () (= @t358 @t363)) % 129.48/129.75 (define @t365 () (not @t363)) % 129.48/129.75 (assume @p1 (forall (@list @t3 @t2 @t6 @t1) (=> (forall (@list @t8) (= (tptp.s @t2 (tptp.app_2E2 @t7 @t9)) @t10)) (= @t7 @t5)))) % 129.48/129.75 (assume @p2 (forall @t17 (=> (= @t16 @t15) (= @t14 @t12)))) % 129.48/129.75 (assume @p3 @t19) % 129.48/129.75 (assume @p4 (not @t21)) % 129.48/129.75 (assume @p5 (forall @t26 (or @t25 @t24))) % 129.48/129.75 (assume @p6 (forall (@list @t3 @t27) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t3) tptp.combin_i_2E0) @t28)) @t28))) % 129.48/129.75 (assume @p7 (forall (@list @t3 @t2 @t27 @t29) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t30 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t30) tptp.combin_k_2E0) @t28)) (tptp.s @t2 @t29))) @t28))) % 129.48/129.75 (assume @p8 (forall (@list @t3 @t2 @t31 @t6 @t1 @t8) (= (tptp.s @t31 (tptp.app_2E2 (tptp.s @t35 (tptp.app_2E2 (tptp.s @t36 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t33 @t36) tptp.combin_s_2E0) @t34)) @t5)) @t9)) (tptp.s @t31 (tptp.app_2E2 (tptp.s @t32 (tptp.app_2E2 @t34 @t9)) @t10))))) % 129.48/129.75 (assume @p9 (forall @t17 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_2F_5C_2E2 @t14 @t12))) (and @t16 @t15)))) % 129.48/129.75 (assume @p10 (forall @t17 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_5C_2F_2E2 @t14 @t12))) (or @t16 @t15)))) % 129.48/129.75 (assume @p11 (forall (@list @t13) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_7E_2E1 @t14))) (not @t16)))) % 129.48/129.75 (assume @p12 (forall @t17 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_3D_3E_2E2 @t14 @t12))) (=> @t16 @t15)))) % 129.48/129.75 (assume @p13 (forall (@list @t3 @t13 @t11) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 @t38 @t37))) (= @t38 @t37)))) % 129.48/129.75 (assume @p14 (forall @t45 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t42))) (forall @t44 @t43)))) % 129.48/129.75 (assume @p15 (forall @t45 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t42))) (exists @t44 @t43)))) % 129.48/129.75 (assume @p16 (forall @t54 (= (and @t53 @t52) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t50 (tptp.app_2E2 (tptp.s @t51 tptp.c_2Ebool_2E_2F_5C_2E0) @t49)) @t47)))))) % 129.48/129.75 (assume @p17 (forall @t54 (= (or @t53 @t52) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t50 (tptp.app_2E2 (tptp.s @t51 tptp.c_2Ebool_2E_5C_2F_2E0) @t49)) @t47)))))) % 129.48/129.75 (assume @p18 (forall (@list @t48) (= (not @t53) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t50 tptp.c_2Ebool_2E_7E_2E0) @t49)))))) % 129.48/129.75 (assume @p19 (forall @t54 (= (=> @t53 @t52) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t50 (tptp.app_2E2 (tptp.s @t51 tptp.c_2Emin_2E_3D_3D_3E_2E0) @t49)) @t47)))))) % 129.48/129.75 (assume @p20 (forall (@list @t3 @t48 @t46) (= (= @t56 @t55) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t41 (tptp.app_2E2 (tptp.s @t57 tptp.c_2Emin_2E_3D_2E0) @t56)) @t55)))))) % 129.48/129.75 (assume @p21 (forall @t60 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t58)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t59 tptp.c_2Ebool_2E_21_2E0) @t58))))) % 129.48/129.75 (assume @p22 (forall @t60 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t58)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t59 tptp.c_2Ebool_2E_3F_2E0) @t58))))) % 129.48/129.75 (assume @p23 (forall @t65 (= (tptp.s @t2 (tptp.c_2Ecombin_2EW_2E2 @t62 @t55)) (tptp.s @t2 (tptp.app_2E2 (tptp.s @t4 (tptp.app_2E2 @t64 @t62)) @t55))))) % 129.48/129.75 (assume @p24 (forall @t65 (= (tptp.s @t70 (tptp.c_2Equotient_2E_3D_3D_3D_3E_2E2 @t68 @t67)) @t72))) % 129.48/129.75 (assume @p25 (forall @t65 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2Erespects_2E2 @t74 @t73)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t69 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t70 @t69) tptp.c_2Equotient_2Erespects_2E0) @t74)) @t73))))) % 129.48/129.75 (assume @p26 (forall @t86 (= (tptp.s @t82 (tptp.c_2Equotient_2E_2D_2D_3E_2E3 @t81 @t79 @t76)) (tptp.s @t82 (tptp.app_2E2 @t85 @t76))))) % 129.48/129.75 (assume @p27 (forall (@list @t3 @t2 @t48 @t46 @t75) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2EQUOTIENT_2E3 @t68 @t73 @t87)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t88 (tptp.app_2E2 (tptp.s @t89 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t57 @t89) tptp.c_2Equotient_2EQUOTIENT_2E0) @t68)) @t73)) @t87))))) % 129.48/129.75 (assume @p28 (forall (@list @t3 @t31 @t48 @t46 @t75) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2EQUOTIENT_2E3 @t68 @t91 @t90)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t92 (tptp.app_2E2 (tptp.s @t93 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t57 @t93) tptp.c_2Equotient_2EQUOTIENT_2E0) @t68)) @t91)) @t90))))) % 129.48/129.75 (assume @p29 (forall (@list @t2 @t77 @t48 @t46 @t75) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2EQUOTIENT_2E3 @t96 @t79 @t95)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t97 (tptp.app_2E2 (tptp.s @t98 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t66 @t98) tptp.c_2Equotient_2EQUOTIENT_2E0) @t96)) @t79)) @t95))))) % 129.48/129.75 (assume @p30 (forall @t103 (= (tptp.s @t101 (tptp.c_2Equotient_2E_2D_2D_3E_2E2 @t100 @t99)) (tptp.s @t101 (tptp.app_2E2 (tptp.s @t102 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t35 @t102) tptp.c_2Equotient_2E_2D_2D_3E_2E0) @t100)) @t99))))) % 129.48/129.75 (assume @p31 (forall @t103 (= (tptp.s @t83 (tptp.c_2Equotient_2E_2D_2D_3E_2E2 @t81 @t79)) @t85))) % 129.48/129.75 (assume @p32 (forall @t86 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2EQUOTIENT_2E3 @t74 @t105 @t104)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t106 (tptp.app_2E2 (tptp.s @t107 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t70 @t107) tptp.c_2Equotient_2EQUOTIENT_2E0) @t74)) @t105)) @t104))))) % 129.48/129.75 (assume @p33 (forall (@list @t3 @t2 @t48 @t46 @t75 @t108) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Equotient_2E_3D_3D_3D_3E_2E4 @t68 @t67 @t76 @t109)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t69 (tptp.app_2E2 @t72 @t76)) @t109))))) % 129.48/129.75 (assume @p34 (forall (@list @t112 @t110) (=> (=> @t114 @t115) (=> (=> @t115 @t114) (= @t113 @t111))))) % 129.48/129.75 (assume @p35 (forall @t26 (and (= (and @t19 @t116) @t116) (= (and @t116 @t19) @t116) (= (and @t21 @t116) @t21) (= (and @t116 @t21) @t21) (= (and @t116 @t116) @t116)))) % 129.48/129.75 (assume @p36 (forall @t26 (and (= (= @t18 @t23) @t116) (= @t25 @t116) (= (= @t20 @t23) @t117) (= @t24 @t117)))) % 129.48/129.75 (assume @p37 (forall (@list @t112 @t110 @t118) (= (=> @t114 (=> @t115 @t119)) (=> (and @t114 @t115) @t119)))) % 129.48/129.75 (assume @p38 @t121) % 129.48/129.75 (assume @p39 @t135) % 129.48/129.75 (assume @p40 @t156) % 129.48/129.75 (assume @p41 @t159) % 129.48/129.75 (assume @p42 @t169) % 129.48/129.75 (assume @p43 true) % 129.48/129.75 (step @p44 :rule instantiate :premises (@p26) :args ((@list @t174 @t173 @t181 @t177 @t180 @t198 @t205))) % 129.48/129.75 (step @p45 :rule instantiate :premises (@p26) :args ((@list @t174 @t173 @t181 @t177 @t180 @t198 @t206))) % 129.48/129.75 (step @p46 :rule instantiate :premises (@p30) :args ((@list @t181 @t177 @t174 @t173 @t180 @t198))) % 129.48/129.75 (step @p47 :rule bool-impl-elim :args (@t153 @t171)) % 129.48/129.75 (step @p48 :rule cong :premises (@p47) :args ((forall @t155 (=> @t153 @t171)))) % 129.48/129.75 (step @p49 :rule bool-impl-elim :args (@t150 @t165)) % 129.48/129.75 (step @p50 :rule cong :premises (@p49) :args (@t166)) % 129.48/129.75 (step @p51 :rule refl :args (@t153)) % 129.48/129.75 (step @p52 :rule cong :premises (@p51 @p50) :args (@t167)) % 129.48/129.75 (step @p53 :rule cong :premises (@p52) :args (@t168)) % 129.48/129.75 (step @p54 :rule trans :premises (@p53 @p48)) % 129.48/129.75 (step @p55 :rule cong :premises (@p54) :args (@t169)) % 129.48/129.75 (step @p56 :rule eq_resolve :premises (@p42 @p55)) % 129.48/129.75 (step @p57 :rule skolemize :premises (@p56)) % 129.48/129.75 (step @p58 :rule cnf_or_neg :args (@t211 1)) % 129.48/129.75 (step @p59 :rule chain_m_resolution :premises (@p58 @p57) :args ((not @t197) @t212 @t213)) % 129.48/129.75 (step @p60 :rule skolemize :premises (@p59)) % 129.48/129.75 (step @p61 :rule cnf_or_neg :args (@t218 1)) % 129.48/129.75 (step @p62 :rule chain_m_resolution :premises (@p61 @p60) :args ((not @t204) @t212 @t219)) % 129.48/129.75 (step @p63 :rule skolemize :premises (@p62)) % 129.48/129.75 (step @p64 :rule cnf_equiv_neg2 :args (@t232)) % 129.48/129.75 (step @p65 :rule instantiate :premises (@p24) :args ((@list @t174 @t173 @t188 @t200))) % 129.48/129.75 (step @p66 :rule instantiate :premises (@p33) :args ((@list @t174 @t173 @t188 @t200 @t205 @t206))) % 129.48/129.75 (assume-push @p488 @t231) % 129.48/129.75 (assume-push @p489 @t236) % 129.48/129.75 (assume-push @p490 @t240) % 129.48/129.75 (assume-push @p491 @t231) % 129.48/129.75 (assume-push @p492 @t240) % 129.48/129.75 (assume-push @p493 @t236) % 129.48/129.75 (step @p73 :rule true_intro :premises (@p488)) % 129.48/129.75 (step @p74 :rule symm :premises (@p66)) % 129.48/129.75 (step @p75 :rule refl :args (@t220)) % 129.48/129.75 (step @p76 :rule refl :args (@t222)) % 129.48/129.75 (step @p77 :rule cong :premises (@p65 @p76) :args (@t241)) % 129.48/129.75 (step @p78 :rule refl :args (@t191)) % 129.48/129.75 (step @p79 :rule cong :premises (@p78 @p77) :args (@t242)) % 129.48/129.75 (step @p80 :rule cong :premises (@p79 @p75) :args (@t243)) % 129.48/129.75 (step @p81 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 129.48/129.75 (step @p82 :rule cong :premises (@p81 @p80) :args (@t244)) % 129.48/129.75 (step @p83 :rule trans :premises (@p82 @p74)) % 129.48/129.75 (step @p84 :rule cong :premises (@p83) :args (@t245)) % 129.48/129.75 (step @p85 :rule trans :premises (@p84 @p73)) % 129.48/129.75 (step @p86 :rule true_elim :premises (@p85)) % 129.48/129.75 (step-pop @p494 :rule scope :premises (@p86)) % 129.48/129.75 (step-pop @p495 :rule scope :premises (@p494)) % 129.48/129.75 (step-pop @p496 :rule scope :premises (@p495)) % 129.48/129.75 (step @p87 :rule process_scope :premises (@p496) :args (@t245)) % 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129.48/129.75 (step @p293 :rule trans :premises (@p44 @p292 @p553 @p289 @p286)) % 129.48/129.75 (step-pop @p560 :rule scope :premises (@p293)) % 129.48/129.75 (step-pop @p561 :rule scope :premises (@p560)) % 129.48/129.75 (step-pop @p562 :rule scope :premises (@p561)) % 129.48/129.75 (step-pop @p563 :rule scope :premises (@p562)) % 129.48/129.75 (step @p294 :rule process_scope :premises (@p563) :args (@t224)) % 129.48/129.75 (step @p299 :rule and_intro :premises (@p45 @p46 @p553 @p44)) % 129.48/129.75 (step @p300 :rule modus_ponens :premises (@p299 @p294)) % 129.48/129.75 (step-pop @p564 :rule scope :premises (@p300)) % 129.48/129.75 (step-pop @p565 :rule scope :premises (@p564)) % 129.48/129.75 (step-pop @p566 :rule scope :premises (@p565)) % 129.48/129.75 (step-pop @p567 :rule scope :premises (@p566)) % 129.48/129.75 (step @p301 :rule process_scope :premises (@p567) :args (@t224)) % 129.48/129.75 (step @p306 :rule implies_elim :premises (@p301)) % 129.48/129.75 (step @p307 :rule cnf_and_neg :args (@t339)) % 129.48/129.75 (step @p308 :rule resolution :premises (@p307 @p306) :args (true @t339)) % 129.48/129.75 (step @p309 :rule reordering :premises (@p308) :args ((or @t224 @t343 @t342 @t341 @t340))) % 129.48/129.75 (step @p310 :rule cnf_and_neg :args (@t229)) % 129.48/129.75 (step @p311 :rule chain_m_resolution :premises (@p310 @p309 @p44 @p45 @p46 @p277 @p231 @p230 @p220 @p160 @p65 @p219 @p161 @p160 @p147 @p146 @p65 @p145 @p143 @p141 @p139 @p137 @p99 @p66 @p65 @p64 @p63) :args (@t344 (@list false false false false false false false false false false false false false false false false false false false false false false false false true true) (@list @t224 @t338 @t335 @t332 @t226 @t320 @t314 @t317 @t285 @t236 @t228 @t298 @t285 @t293 @t291 @t236 @t271 @t273 @t275 @t276 @t277 @t245 @t240 @t236 @t229 @t232))) % 129.48/129.75 (step @p312 :rule cnf_equiv_neg1 :args (@t232)) % 129.48/129.75 (step @p313 :rule reordering :premises (@p312) :args ((or @t231 @t229 @t232))) % 129.48/129.75 (step @p314 :rule chain_m_resolution :premises (@p313 @p311 @p63) :args (@t229 (@list true true) (@list @t231 @t232))) % 129.48/129.75 (step @p315 :rule cnf_and_pos :args (@t229 2)) % 129.48/129.75 (step @p316 :rule reordering :premises (@p315) :args ((or @t224 @t345))) % 129.48/129.75 (step @p317 :rule chain_m_resolution :premises (@p316 @p314) :args (@t224 @t286 @t346)) % 129.48/129.75 (assume-push @p568 @t224) % 129.48/129.75 (assume-push @p569 @t332) % 129.48/129.75 (assume-push @p570 @t335) % 129.48/129.75 (assume-push @p571 @t338) % 129.48/129.75 (assume-push @p572 @t332) % 129.48/129.75 (assume-push @p573 @t335) % 129.48/129.75 (assume-push @p574 @t224) % 129.48/129.75 (assume-push @p575 @t338) % 129.48/129.75 (step @p75 :rule refl :args (@t220)) % 129.48/129.75 (step @p290 :rule symm :premises (@p46)) % 129.48/129.75 (step @p326 :rule cong :premises (@p290 @p75) :args (@t333)) % 129.48/129.75 (step @p288 :rule refl :args (@t184)) % 129.48/129.75 (step @p327 :rule cong :premises (@p288 @p326) :args (@t334)) % 129.48/129.75 (step @p328 :rule symm :premises (@p44)) % 129.48/129.75 (step @p76 :rule refl :args (@t222)) % 129.48/129.75 (step @p329 :rule cong :premises (@p46 @p76) :args (@t269)) % 129.48/129.75 (step @p330 :rule cong :premises (@p288 @p329) :args (@t270)) % 129.48/129.75 (step @p331 :rule trans :premises (@p330 @p328 @p568 @p45 @p327)) % 129.48/129.75 (step-pop @p576 :rule scope :premises (@p331)) % 129.48/129.75 (step-pop @p577 :rule scope :premises (@p576)) % 129.48/129.75 (step-pop @p578 :rule scope :premises (@p577)) % 129.48/129.75 (step-pop @p579 :rule scope :premises (@p578)) % 129.48/129.75 (step @p332 :rule process_scope :premises (@p579) :args (@t271)) % 129.48/129.75 (step @p337 :rule and_intro :premises (@p46 @p45 @p568 @p44)) % 129.48/129.75 (step @p338 :rule modus_ponens :premises (@p337 @p332)) % 129.48/129.75 (step-pop @p580 :rule scope :premises (@p338)) % 129.48/129.75 (step-pop @p581 :rule scope :premises (@p580)) % 129.48/129.75 (step-pop @p582 :rule scope :premises (@p581)) % 129.48/129.75 (step-pop @p583 :rule scope :premises (@p582)) % 129.48/129.75 (step @p339 :rule process_scope :premises (@p583) :args (@t271)) % 129.48/129.75 (step @p344 :rule implies_elim :premises (@p339)) % 129.48/129.75 (step @p345 :rule cnf_and_neg :args (@t347)) % 129.48/129.75 (step @p346 :rule resolution :premises (@p345 @p344) :args (true @t347)) % 129.48/129.75 (step @p347 :rule reordering :premises (@p346) :args ((or (not @t224) @t271 @t343 @t341 @t340))) % 129.48/129.75 (step @p348 :rule chain_m_resolution :premises (@p347 @p317 @p46 @p45 @p44) :args (@t271 (@list false false false false) (@list @t224 @t332 @t335 @t338))) % 129.48/129.75 (step @p349 :rule cnf_and_pos :args (@t229 1)) % 129.48/129.75 (step @p350 :rule reordering :premises (@p349) :args ((or @t226 @t345))) % 129.48/129.75 (step @p351 :rule chain_m_resolution :premises (@p350 @p314) :args (@t226 @t286 @t346)) % 129.48/129.75 (assume-push @p584 @t226) % 129.48/129.75 (assume-push @p585 @t236) % 129.48/129.75 (assume-push @p586 @t285) % 129.48/129.75 (assume-push @p587 @t317) % 129.48/129.75 (assume-push @p588 @t314) % 129.48/129.75 (assume-push @p589 @t320) % 129.48/129.75 (assume-push @p590 @t226) % 129.48/129.75 (assume-push @p591 @t317) % 129.48/129.75 (assume-push @p592 @t285) % 129.48/129.75 (assume-push @p593 @t236) % 129.48/129.75 (assume-push @p594 @t320) % 129.48/129.75 (assume-push @p595 @t314) % 129.48/129.75 (step @p364 :rule true_intro :premises (@p584)) % 129.48/129.75 (step @p365 :rule symm :premises (@p220)) % 129.48/129.75 (step @p75 :rule refl :args (@t220)) % 129.48/129.75 (step @p185 :rule cong :premises (@p160 @p65) :args (@t287)) % 129.48/129.75 (step @p188 :rule symm :premises (@p185)) % 129.48/129.75 (step @p183 :rule refl :args (@t281)) % 129.48/129.75 (step @p366 :rule cong :premises (@p183 @p65) :args (@t294)) % 129.48/129.75 (step @p367 :rule trans :premises (@p366 @p188)) % 129.48/129.75 (step @p78 :rule refl :args (@t191)) % 129.48/129.75 (step @p368 :rule cong :premises (@p78 @p367) :args (@t295)) % 129.48/129.75 (step @p369 :rule cong :premises (@p368 @p75) :args (@t318)) % 129.48/129.75 (step @p81 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 129.48/129.75 (step @p370 :rule cong :premises (@p81 @p369) :args (@t319)) % 129.48/129.75 (step @p175 :rule symm :premises (@p65)) % 129.48/129.75 (step @p245 :rule cong :premises (@p175 @p75) :args (@t321)) % 129.48/129.75 (step @p246 :rule cong :premises (@p78 @p245) :args (@t322)) % 129.48/129.75 (step @p247 :rule cong :premises (@p246 @p75) :args (@t323)) % 129.48/129.75 (step @p248 :rule cong :premises (@p81 @p247) :args (@t324)) % 129.48/129.75 (step @p371 :rule trans :premises (@p248 @p230 @p231 @p370 @p365)) % 129.48/129.75 (step @p372 :rule cong :premises (@p371) :args (@t325)) % 129.48/129.75 (step @p373 :rule trans :premises (@p372 @p364)) % 129.48/129.75 (step @p374 :rule true_elim :premises (@p373)) % 129.48/129.75 (step-pop @p596 :rule scope :premises (@p374)) % 129.48/129.75 (step-pop @p597 :rule scope :premises (@p596)) % 129.48/129.75 (step-pop @p598 :rule scope :premises (@p597)) % 129.48/129.75 (step-pop @p599 :rule scope :premises (@p598)) % 129.48/129.75 (step-pop @p600 :rule scope :premises (@p599)) % 129.48/129.75 (step-pop @p601 :rule scope :premises (@p600)) % 129.48/129.75 (step @p375 :rule process_scope :premises (@p601) :args (@t325)) % 129.48/129.75 (step @p382 :rule and_intro :premises (@p584 @p220 @p160 @p65 @p231 @p230)) % 129.48/129.75 (step @p383 :rule modus_ponens :premises (@p382 @p375)) % 129.48/129.75 (step-pop @p602 :rule scope :premises (@p383)) % 129.48/129.75 (step-pop @p603 :rule scope :premises (@p602)) % 129.48/129.75 (step-pop @p604 :rule scope :premises (@p603)) % 129.48/129.75 (step-pop @p605 :rule scope :premises (@p604)) % 129.48/129.75 (step-pop @p606 :rule scope :premises (@p605)) % 129.48/129.75 (step-pop @p607 :rule scope :premises (@p606)) % 129.48/129.75 (step @p384 :rule process_scope :premises (@p607) :args (@t325)) % 129.48/129.75 (step @p391 :rule implies_elim :premises (@p384)) % 129.48/129.75 (step @p392 :rule cnf_and_neg :args (@t348)) % 129.48/129.75 (step @p393 :rule resolution :premises (@p392 @p391) :args (true @t348)) % 129.48/129.75 (step @p394 :rule reordering :premises (@p393) :args ((or (not @t226) @t310 @t325 @t307 @t329 @t328 @t327))) % 129.48/129.75 (step @p395 :rule chain_m_resolution :premises (@p394 @p351 @p65 @p160 @p220 @p230 @p231) :args (@t325 @t349 (@list @t226 @t236 @t285 @t317 @t314 @t320))) % 129.48/129.75 (step @p396 :rule cnf_and_pos :args (@t229 0)) % 129.48/129.75 (step @p397 :rule reordering :premises (@p396) :args ((or @t228 @t345))) % 129.48/129.75 (step @p398 :rule chain_m_resolution :premises (@p397 @p314) :args (@t228 @t286 @t346)) % 129.48/129.75 (assume-push @p608 @t228) % 129.48/129.75 (assume-push @p609 @t236) % 129.48/129.75 (assume-push @p610 @t291) % 129.48/129.75 (assume-push @p611 @t293) % 129.48/129.75 (assume-push @p612 @t285) % 129.48/129.75 (assume-push @p613 @t298) % 129.48/129.75 (assume-push @p614 @t228) % 129.48/129.75 (assume-push @p615 @t291) % 129.48/129.75 (assume-push @p616 @t285) % 129.48/129.75 (assume-push @p617 @t236) % 129.48/129.75 (assume-push @p618 @t298) % 129.48/129.75 (assume-push @p619 @t293) % 129.48/129.75 (step @p411 :rule true_intro :premises (@p608)) % 129.48/129.75 (step @p412 :rule symm :premises (@p146)) % 129.48/129.75 (step @p76 :rule refl :args (@t222)) % 129.48/129.75 (step @p185 :rule cong :premises (@p160 @p65) :args (@t287)) % 129.48/129.75 (step @p188 :rule symm :premises (@p185)) % 129.48/129.75 (step @p78 :rule refl :args (@t191)) % 129.48/129.75 (step @p189 :rule cong :premises (@p78 @p188) :args (@t303)) % 129.48/129.75 (step @p413 :rule cong :premises (@p189 @p76) :args (@t304)) % 129.48/129.75 (step @p192 :rule symm :premises (@p189)) % 129.48/129.75 (step @p183 :rule refl :args (@t281)) % 129.48/129.75 (step @p366 :rule cong :premises (@p183 @p65) :args (@t294)) % 129.48/129.75 (step @p367 :rule trans :premises (@p366 @p188)) % 129.48/129.75 (step @p368 :rule cong :premises (@p78 @p367) :args (@t295)) % 129.48/129.75 (step @p414 :rule trans :premises (@p368 @p192)) % 129.48/129.75 (step @p415 :rule cong :premises (@p414 @p76) :args (@t296)) % 129.48/129.75 (step @p416 :rule trans :premises (@p415 @p413)) % 129.48/129.75 (step @p81 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 129.48/129.75 (step @p417 :rule cong :premises (@p81 @p416) :args (@t297)) % 129.48/129.75 (step @p418 :rule symm :premises (@p147)) % 129.48/129.75 (step @p175 :rule symm :premises (@p65)) % 129.48/129.75 (step @p176 :rule cong :premises (@p175 @p76) :args (@t237)) % 129.48/129.75 (step @p177 :rule cong :premises (@p78 @p176) :args (@t238)) % 129.48/129.75 (step @p178 :rule cong :premises (@p177 @p76) :args (@t299)) % 129.48/129.75 (step @p179 :rule cong :premises (@p81 @p178) :args (@t300)) % 129.48/129.75 (step @p419 :rule trans :premises (@p179 @p418 @p161 @p417 @p412)) % 129.48/129.75 (step @p420 :rule cong :premises (@p419) :args (@t301)) % 129.48/129.75 (step @p421 :rule trans :premises (@p420 @p411)) % 129.48/129.75 (step @p422 :rule true_elim :premises (@p421)) % 129.48/129.75 (step-pop @p620 :rule scope :premises (@p422)) % 129.48/129.75 (step-pop @p621 :rule scope :premises (@p620)) % 129.48/129.75 (step-pop @p622 :rule scope :premises (@p621)) % 129.48/129.75 (step-pop @p623 :rule scope :premises (@p622)) % 129.48/129.75 (step-pop @p624 :rule scope :premises (@p623)) % 129.48/129.75 (step-pop @p625 :rule scope :premises (@p624)) % 129.48/129.75 (step @p423 :rule process_scope :premises (@p625) :args (@t301)) % 129.48/129.75 (step @p430 :rule and_intro :premises (@p608 @p146 @p160 @p65 @p161 @p147)) % 129.48/129.75 (step @p431 :rule modus_ponens :premises (@p430 @p423)) % 129.48/129.75 (step-pop @p626 :rule scope :premises (@p431)) % 129.48/129.75 (step-pop @p627 :rule scope :premises (@p626)) % 129.48/129.75 (step-pop @p628 :rule scope :premises (@p627)) % 129.48/129.75 (step-pop @p629 :rule scope :premises (@p628)) % 129.48/129.75 (step-pop @p630 :rule scope :premises (@p629)) % 129.48/129.75 (step-pop @p631 :rule scope :premises (@p630)) % 129.48/129.75 (step @p432 :rule process_scope :premises (@p631) :args (@t301)) % 129.48/129.75 (step @p439 :rule implies_elim :premises (@p432)) % 129.48/129.75 (step @p440 :rule cnf_and_neg :args (@t350)) % 129.48/129.75 (step @p441 :rule resolution :premises (@p440 @p439) :args (true @t350)) % 129.48/129.75 (step @p442 :rule reordering :premises (@p441) :args ((or (not @t228) @t310 @t309 @t301 @t308 @t307 @t306))) % 129.48/129.75 (step @p443 :rule chain_m_resolution :premises (@p442 @p398 @p65 @p146 @p147 @p160 @p161) :args (@t301 @t349 (@list @t228 @t236 @t291 @t293 @t285 @t298))) % 129.48/129.75 (step @p444 :rule instantiate :premises (@p102) :args ((@list @t175 @t184 @t234 @t248 @t247))) % 129.48/129.75 (step @p445 :rule true_intro :premises (@p133)) % 129.48/129.75 (step @p446 :rule refl :args (@t255)) % 129.48/129.75 (step @p447 :rule refl :args (@t256)) % 129.48/129.75 (step @p175 :rule symm :premises (@p65)) % 129.48/129.75 (step @p448 :rule cong :premises (@p175 @p447 @p446) :args (@t351)) % 129.48/129.75 (step @p81 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 129.48/129.75 (step @p449 :rule cong :premises (@p81 @p448) :args (@t352)) % 129.48/129.75 (step @p450 :rule cong :premises (@p449) :args (@t353)) % 129.48/129.75 (step @p451 :rule trans :premises (@p450 @p445)) % 129.48/129.75 (step @p452 :rule true_elim :premises (@p451)) % 129.48/129.75 (step @p453 :rule cnf_or_pos :args (@t357)) % 129.48/129.75 (step @p454 :rule reordering :premises (@p453) :args ((or @t356 @t355 (not @t357)))) % 129.48/129.75 (step @p455 :rule chain_m_resolution :premises (@p454 @p452 @p444) :args (@t355 @t254 (@list @t353 @t357))) % 129.48/129.75 (step @p456 :rule instantiate :premises (@p455) :args (@t266)) % 129.48/129.75 (step @p457 :rule refl :args (@t359)) % 129.48/129.75 (step @p458 :rule refl :args (@t360)) % 129.48/129.75 (step @p459 :rule bool-double-not-elim :args (@t231)) % 129.48/129.75 (step @p460 :rule nary_cong :premises (@p459 @p458 @p457) :args ((or (not @t344) @t360 @t359))) % 129.48/129.75 (assume-push @p632 @t344) % 129.48/129.75 (assume-push @p633 @t240) % 129.48/129.75 (assume-push @p634 @t344) % 129.48/129.75 (assume-push @p635 @t240) % 129.48/129.75 (step @p465 :rule false_intro :premises (@p632)) % 129.48/129.75 (step @p74 :rule symm :premises (@p66)) % 129.48/129.75 (step @p466 :rule cong :premises (@p74) :args (@t358)) % 129.48/129.75 (step @p467 :rule trans :premises (@p466 @p465)) % 129.48/129.75 (step @p468 :rule false_elim :premises (@p467)) % 129.48/129.75 (step-pop @p636 :rule scope :premises (@p468)) % 129.48/129.75 (step-pop @p637 :rule scope :premises (@p636)) % 129.48/129.75 (step @p469 :rule process_scope :premises (@p637) :args (@t359)) % 129.48/129.75 (step @p472 :rule and_intro :premises (@p632 @p66)) % 129.48/129.75 (step @p473 :rule modus_ponens :premises (@p472 @p469)) % 129.48/129.75 (step-pop @p638 :rule scope :premises (@p473)) % 129.48/129.75 (step-pop @p639 :rule scope :premises (@p638)) % 129.48/129.75 (step @p474 :rule process_scope :premises (@p639) :args (@t359)) % 129.48/129.75 (step @p477 :rule implies_elim :premises (@p474)) % 129.48/129.75 (step @p478 :rule cnf_and_neg :args (@t361)) % 129.48/129.75 (step @p479 :rule resolution :premises (@p478 @p477) :args (true @t361)) % 129.48/129.75 (step @p480 :rule eq_resolve :premises (@p479 @p460)) % 129.48/129.75 (step @p481 :rule chain_m_resolution :premises (@p480 @p311 @p66) :args (@t359 @t362 (@list @t231 @t240))) % 129.48/129.75 (step @p482 :rule cnf_equiv_pos2 :args (@t364)) % 129.48/129.75 (step @p483 :rule reordering :premises (@p482) :args ((or @t358 @t365 (not @t364)))) % 129.48/129.75 (step @p484 :rule chain_m_resolution :premises (@p483 @p481 @p456) :args (@t365 @t362 (@list @t358 @t364))) % 129.48/129.75 (step @p485 :rule cnf_and_neg :args (@t363)) % 129.48/129.75 (step @p486 :rule reordering :premises (@p485) :args ((or @t363 @t342 (not @t301) (not @t325)))) % 129.48/129.75 (step @p487 false :rule chain_m_resolution :premises (@p486 @p484 @p443 @p395 @p348) :args (false (@list true false false false) (@list @t363 @t301 @t325 @t271))) % 129.48/129.75 ) % 129.48/129.75 % SZS output end Proof % 129.48/129.75 % cvc5 exiting %------------------------------------------------------------------------------