%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW478+5 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 09:05:10 AM UTC 2026 % Result : Theorem 0.55s 0.86s % Output : Proof 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW478+5 : TPTP v9.2.1. Released v5.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.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 22:13:46 EDT 2026 % 0.17/0.34 % CPUTime : % 0.43/0.71 %----Proving TF0_NAR, FOF, or CNF % 0.55/0.86 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.55/0.86 % SZS status Theorem % 0.55/0.86 % SZS output start Proof % 0.55/0.86 ( % 0.55/0.86 (declare-sort $$unsorted 0) % 0.55/0.86 (declare-const tptp.la $$unsorted) % 0.55/0.86 (declare-const tptp.ha $$unsorted) % 0.55/0.86 (declare-const tptp.h_a $$unsorted) % 0.55/0.86 (declare-const tptp.ea $$unsorted) % 0.55/0.86 (declare-const tptp.v_1 $$unsorted) % 0.55/0.86 (declare-const tptp.t_1 $$unsorted) % 0.55/0.86 (declare-const tptp.t $$unsorted) % 0.55/0.86 (declare-const tptp.p $$unsorted) % 0.55/0.86 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.55/0.86 (declare-const tptp.wTrt $$unsorted) % 0.55/0.86 (declare-const tptp.unit $$unsorted) % 0.55/0.86 (declare-const tptp.v $$unsorted) % 0.55/0.86 (declare-const tptp.hp $$unsorted) % 0.55/0.86 (declare-const tptp.redp $$unsorted) % 0.55/0.86 (declare-const tptp.product_prod_rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.typeSa885026672_sconf $$unsorted) % 0.55/0.86 (declare-const tptp.bool $$unsorted) % 0.55/0.86 (declare-const tptp.e $$unsorted) % 0.55/0.86 (declare-const tptp.hconf (-> $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.fconj $$unsorted) % 0.55/0.86 (declare-const tptp.red $$unsorted) % 0.55/0.86 (declare-const tptp.wf_J_mdecl $$unsorted) % 0.55/0.86 (declare-const tptp.char $$unsorted) % 0.55/0.86 (declare-const tptp.combk (-> $$unsorted $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.v_2 $$unsorted) % 0.55/0.86 (declare-const tptp.some (-> $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.nat $$unsorted) % 0.55/0.86 (declare-const tptp.exp (-> $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.seq (-> $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.val $$unsorted) % 0.55/0.86 (declare-const tptp.combs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.product_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.member (-> $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.list (-> $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.ti (-> $$unsorted $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.produc1605651328_split (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.lAss (-> $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.fun (-> $$unsorted $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.combb (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.e_a $$unsorted) % 0.55/0.86 (declare-const tptp.assigned $$unsorted) % 0.55/0.86 (declare-const tptp.undefined (-> $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.option (-> $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.l_a $$unsorted) % 0.55/0.86 (declare-const tptp.lconf (-> $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.combc (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.none (-> $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.ty $$unsorted) % 0.55/0.86 (declare-const tptp.block (-> $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.val_1 (-> $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.wf_prog (-> $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.fun_upd (-> $$unsorted $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.widen (-> $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.product_Pair (-> $$unsorted $$unsorted $$unsorted)) % 0.55/0.86 (declare-const tptp.product_prod_case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.55/0.86 (define @t1 () (@var "X_a" $$unsorted)) % 0.55/0.86 (define @t2 () (@var "X_c" $$unsorted)) % 0.55/0.86 (define @t3 () (@var "X_b" $$unsorted)) % 0.55/0.86 (define @t4 () (tptp.combb @t3 @t2 @t1)) % 0.55/0.86 (define @t5 () (tptp.fun @t1 @t2)) % 0.55/0.86 (define @t6 () (tptp.fun @t1 @t3)) % 0.55/0.86 (define @t7 () (tptp.fun @t6 @t5)) % 0.55/0.86 (define @t8 () (tptp.fun @t3 @t2)) % 0.55/0.86 (define @t9 () (@list @t3 @t2 @t1)) % 0.55/0.86 (define @t10 () (tptp.combc @t1 @t3 @t2)) % 0.55/0.86 (define @t11 () (tptp.fun @t3 @t5)) % 0.55/0.86 (define @t12 () (tptp.fun @t1 @t8)) % 0.55/0.86 (define @t13 () (@list @t1 @t3 @t2)) % 0.55/0.86 (define @t14 () (tptp.combk @t1 @t3)) % 0.55/0.86 (define @t15 () (tptp.fun @t3 @t1)) % 0.55/0.86 (define @t16 () (tptp.fun @t1 @t15)) % 0.55/0.86 (define @t17 () (@list @t1 @t3)) % 0.55/0.86 (define @t18 () (tptp.combs @t1 @t3 @t2)) % 0.55/0.86 (define @t19 () (tptp.list tptp.char)) % 0.55/0.86 (define @t20 () (tptp.exp @t19)) % 0.55/0.86 (define @t21 () (tptp.product_prod (tptp.list @t19) @t20)) % 0.55/0.86 (define @t22 () (tptp.hconf @t21)) % 0.55/0.86 (define @t23 () (tptp.option tptp.val)) % 0.55/0.86 (define @t24 () (tptp.fun tptp.nat (tptp.option (tptp.product_prod @t19 (tptp.fun (tptp.product_prod @t19 @t19) @t23))))) % 0.55/0.86 (define @t25 () (tptp.fun @t24 tptp.bool)) % 0.55/0.86 (define @t26 () (tptp.list tptp.ty)) % 0.55/0.86 (define @t27 () (tptp.product_prod @t19 (tptp.product_prod @t26 (tptp.product_prod tptp.ty @t21)))) % 0.55/0.86 (define @t28 () (tptp.list (tptp.product_prod @t19 tptp.ty))) % 0.55/0.86 (define @t29 () (tptp.list (tptp.product_prod @t19 (tptp.product_prod @t19 (tptp.product_prod @t28 (tptp.list @t27)))))) % 0.55/0.86 (define @t30 () (tptp.lconf @t21)) % 0.55/0.86 (define @t31 () (tptp.option tptp.ty)) % 0.55/0.86 (define @t32 () (tptp.fun @t19 @t31)) % 0.55/0.86 (define @t33 () (tptp.fun @t32 tptp.bool)) % 0.55/0.86 (define @t34 () (tptp.fun @t19 @t23)) % 0.55/0.86 (define @t35 () (tptp.fun @t34 @t33)) % 0.55/0.86 (define @t36 () (tptp.fun @t24 @t35)) % 0.55/0.86 (define @t37 () (tptp.block @t1)) % 0.55/0.86 (define @t38 () (tptp.exp @t1)) % 0.55/0.86 (define @t39 () (tptp.fun @t38 @t38)) % 0.55/0.86 (define @t40 () (tptp.fun tptp.ty @t39)) % 0.55/0.86 (define @t41 () (@list @t1)) % 0.55/0.86 (define @t42 () (tptp.lAss @t1)) % 0.55/0.86 (define @t43 () (tptp.seq @t1)) % 0.55/0.86 (define @t44 () (tptp.val_1 @t1)) % 0.55/0.86 (define @t45 () (tptp.fun_upd @t1 @t3)) % 0.55/0.86 (define @t46 () (tptp.fun @t3 @t6)) % 0.55/0.86 (define @t47 () (tptp.fun @t1 @t46)) % 0.55/0.86 (define @t48 () (tptp.undefined @t1)) % 0.55/0.86 (define @t49 () (tptp.fun @t29 (tptp.fun @t19 (tptp.fun @t27 tptp.bool)))) % 0.55/0.86 (define @t50 () (tptp.none @t3)) % 0.55/0.86 (define @t51 () (tptp.option @t3)) % 0.55/0.86 (define @t52 () (tptp.some @t1)) % 0.55/0.86 (define @t53 () (tptp.option @t1)) % 0.55/0.86 (define @t54 () (@var "X_f" $$unsorted)) % 0.55/0.86 (define @t55 () (@var "X_e" $$unsorted)) % 0.55/0.86 (define @t56 () (tptp.product_Pair @t55 @t54)) % 0.55/0.86 (define @t57 () (tptp.product_prod @t55 @t54)) % 0.55/0.86 (define @t58 () (tptp.fun @t54 @t57)) % 0.55/0.86 (define @t59 () (tptp.produc1605651328_split @t3 @t2 @t1)) % 0.55/0.86 (define @t60 () (tptp.product_prod @t3 @t2)) % 0.55/0.86 (define @t61 () (tptp.fun @t60 @t1)) % 0.55/0.86 (define @t62 () (tptp.fun @t2 @t1)) % 0.55/0.86 (define @t63 () (tptp.fun @t3 @t62)) % 0.55/0.86 (define @t64 () (tptp.fun @t63 @t61)) % 0.55/0.86 (define @t65 () (tptp.product_prod_case @t1 @t3 @t2)) % 0.55/0.86 (define @t66 () (tptp.product_prod @t1 @t3)) % 0.55/0.86 (define @t67 () (tptp.fun @t66 @t2)) % 0.55/0.86 (define @t68 () (tptp.product_prod_rec @t3 @t2 @t1)) % 0.55/0.86 (define @t69 () (tptp.fun @t20 tptp.bool)) % 0.55/0.86 (define @t70 () (tptp.product_prod @t24 @t34)) % 0.55/0.86 (define @t71 () (tptp.product_prod @t20 @t70)) % 0.55/0.86 (define @t72 () (tptp.product_prod @t71 @t71)) % 0.55/0.86 (define @t73 () (tptp.fun @t72 tptp.bool)) % 0.55/0.86 (define @t74 () (tptp.fun @t70 tptp.bool)) % 0.55/0.86 (define @t75 () (tptp.fun @t20 @t74)) % 0.55/0.86 (define @t76 () (tptp.fun @t70 @t75)) % 0.55/0.86 (define @t77 () (tptp.fun @t20 @t76)) % 0.55/0.86 (define @t78 () (@var "X_m" $$unsorted)) % 0.55/0.86 (define @t79 () (tptp.widen @t78)) % 0.55/0.86 (define @t80 () (tptp.fun tptp.ty tptp.bool)) % 0.55/0.86 (define @t81 () (tptp.fun tptp.ty @t80)) % 0.55/0.86 (define @t82 () (tptp.list (tptp.product_prod @t19 (tptp.product_prod @t19 (tptp.product_prod @t28 (tptp.list (tptp.product_prod @t19 (tptp.product_prod @t26 (tptp.product_prod tptp.ty @t78))))))))) % 0.55/0.86 (define @t83 () (tptp.fun @t32 @t74)) % 0.55/0.86 (define @t84 () (tptp.wf_prog @t21)) % 0.55/0.86 (define @t85 () (tptp.fun @t29 tptp.bool)) % 0.55/0.86 (define @t86 () (tptp.fun @t20 @t80)) % 0.55/0.86 (define @t87 () (tptp.fun @t32 @t86)) % 0.55/0.86 (define @t88 () (tptp.fun @t24 @t87)) % 0.55/0.86 (define @t89 () (tptp.fun tptp.bool tptp.bool)) % 0.55/0.86 (define @t90 () (tptp.fun tptp.bool @t89)) % 0.55/0.86 (define @t91 () (@var "B_2_1" $$unsorted)) % 0.55/0.86 (define @t92 () (@var "B_1_1" $$unsorted)) % 0.55/0.86 (define @t93 () (tptp.hAPP @t1 @t2 @t92 @t91)) % 0.55/0.86 (define @t94 () (@list @t1 @t2 @t92 @t91)) % 0.55/0.86 (define @t95 () (tptp.member @t1)) % 0.55/0.86 (define @t96 () (tptp.fun @t1 tptp.bool)) % 0.55/0.86 (define @t97 () (tptp.fun @t96 tptp.bool)) % 0.55/0.86 (define @t98 () (tptp.some tptp.val)) % 0.55/0.86 (define @t99 () (tptp.product_Pair @t24 @t34)) % 0.55/0.86 (define @t100 () (tptp.fun @t34 @t70)) % 0.55/0.86 (define @t101 () (tptp.product_Pair @t20 @t70)) % 0.55/0.86 (define @t102 () (tptp.fun @t70 @t71)) % 0.55/0.86 (define @t103 () (tptp.fun_upd @t19 @t23)) % 0.55/0.86 (define @t104 () (tptp.fun @t23 @t34)) % 0.55/0.86 (define @t105 () (tptp.fun @t19 @t104)) % 0.55/0.86 (define @t106 () (tptp.hAPP @t24 @t100 @t99 tptp.ha)) % 0.55/0.86 (define @t107 () (tptp.hAPP @t34 @t70 @t106 (tptp.hAPP @t23 @t34 (tptp.hAPP @t19 @t104 (tptp.hAPP @t34 @t105 @t103 tptp.la) tptp.v_1) (tptp.hAPP tptp.val @t23 @t98 tptp.v)))) % 0.55/0.86 (define @t108 () (tptp.product_Pair @t71 @t71)) % 0.55/0.86 (define @t109 () (tptp.fun @t71 @t72)) % 0.55/0.86 (define @t110 () (tptp.member @t72)) % 0.55/0.86 (define @t111 () (tptp.fun @t73 tptp.bool)) % 0.55/0.86 (define @t112 () (tptp.hBOOL (tptp.hAPP @t73 tptp.bool (tptp.hAPP @t72 @t111 @t110 (tptp.hAPP @t71 @t72 (tptp.hAPP @t71 @t109 @t108 (tptp.hAPP @t70 @t71 (tptp.hAPP @t20 @t102 @t101 tptp.ea) @t107)) (tptp.hAPP @t70 @t71 (tptp.hAPP @t20 @t102 @t101 tptp.e_a) (tptp.hAPP @t34 @t70 (tptp.hAPP @t24 @t100 @t99 tptp.h_a) tptp.l_a)))) (tptp.hAPP @t29 @t73 tptp.red tptp.p)))) % 0.55/0.86 (define @t113 () (@var "F" $$unsorted)) % 0.55/0.86 (define @t114 () (tptp.ti @t6 @t113)) % 0.55/0.86 (define @t115 () (@var "X_1" $$unsorted)) % 0.55/0.86 (define @t116 () (tptp.hAPP @t1 @t3 @t113 @t115)) % 0.55/0.86 (define @t117 () (tptp.hAPP @t6 @t47 @t45 @t113)) % 0.55/0.86 (define @t118 () (tptp.hAPP @t1 @t46 @t117 @t115)) % 0.55/0.86 (define @t119 () (@var "Y_2" $$unsorted)) % 0.55/0.86 (define @t120 () (tptp.hAPP @t1 @t53 @t52 @t119)) % 0.55/0.86 (define @t121 () (@var "M" $$unsorted)) % 0.55/0.86 (define @t122 () (@var "A_4" $$unsorted)) % 0.55/0.86 (define @t123 () (tptp.ti @t3 @t115)) % 0.55/0.86 (define @t124 () (= @t123 (tptp.ti @t3 @t122))) % 0.55/0.86 (define @t125 () (tptp.ti @t1 @t119)) % 0.55/0.86 (define @t126 () (@var "B_1" $$unsorted)) % 0.55/0.86 (define @t127 () (tptp.fun_upd @t3 @t53)) % 0.55/0.86 (define @t128 () (tptp.fun @t3 @t53)) % 0.55/0.86 (define @t129 () (tptp.fun @t53 @t128)) % 0.55/0.86 (define @t130 () (tptp.fun @t3 @t129)) % 0.55/0.86 (define @t131 () (@var "T_1" $$unsorted)) % 0.55/0.86 (define @t132 () (tptp.hAPP @t1 @t53 @t52 @t115)) % 0.55/0.86 (define @t133 () (@var "K" $$unsorted)) % 0.55/0.86 (define @t134 () (tptp.ti @t3 @t119)) % 0.55/0.86 (define @t135 () (tptp.some @t3)) % 0.55/0.86 (define @t136 () (@var "N" $$unsorted)) % 0.55/0.86 (define @t137 () (tptp.fun_upd @t1 @t51)) % 0.55/0.86 (define @t138 () (tptp.fun @t1 @t51)) % 0.55/0.86 (define @t139 () (tptp.fun @t51 @t138)) % 0.55/0.86 (define @t140 () (tptp.fun @t1 @t139)) % 0.55/0.86 (define @t141 () (tptp.hAPP @t3 @t51 @t135 @t115)) % 0.55/0.86 (define @t142 () (@var "Ta" $$unsorted)) % 0.55/0.86 (define @t143 () (@var "T_4" $$unsorted)) % 0.55/0.86 (define @t144 () (@var "Ea" $$unsorted)) % 0.55/0.86 (define @t145 () (tptp.hAPP @t29 @t88 tptp.wTrt tptp.p)) % 0.55/0.86 (define @t146 () (tptp.hAPP @t24 @t87 @t145 tptp.ha)) % 0.55/0.86 (define @t147 () (tptp.hAPP @t29 @t83 tptp.typeSa885026672_sconf tptp.p)) % 0.55/0.86 (define @t148 () (@var "Pa" $$unsorted)) % 0.55/0.86 (define @t149 () (@var "X_d" $$unsorted)) % 0.55/0.86 (define @t150 () (tptp.product_prod @t149 @t57)) % 0.55/0.86 (define @t151 () (tptp.product_prod @t2 @t150)) % 0.55/0.86 (define @t152 () (tptp.product_prod @t3 @t151)) % 0.55/0.86 (define @t153 () (tptp.product_prod @t1 @t152)) % 0.55/0.86 (define @t154 () (@var "F_1" $$unsorted)) % 0.55/0.86 (define @t155 () (@var "E" $$unsorted)) % 0.55/0.86 (define @t156 () (@var "D_1" $$unsorted)) % 0.55/0.86 (define @t157 () (@var "C_1" $$unsorted)) % 0.55/0.86 (define @t158 () (@var "B" $$unsorted)) % 0.55/0.86 (define @t159 () (@var "A_6" $$unsorted)) % 0.55/0.86 (define @t160 () (tptp.hAPP @t152 @t153 (tptp.hAPP @t1 (tptp.fun @t152 @t153) (tptp.product_Pair @t1 @t152) @t159) (tptp.hAPP @t151 @t152 (tptp.hAPP @t3 (tptp.fun @t151 @t152) (tptp.product_Pair @t3 @t151) @t158) (tptp.hAPP @t150 @t151 (tptp.hAPP @t2 (tptp.fun @t150 @t151) (tptp.product_Pair @t2 @t150) @t157) (tptp.hAPP @t57 @t150 (tptp.hAPP @t149 (tptp.fun @t57 @t150) (tptp.product_Pair @t149 @t57) @t156) (tptp.hAPP @t54 @t57 (tptp.hAPP @t55 @t58 @t56 @t155) @t154)))))) % 0.55/0.86 (define @t161 () (@list @t159 @t158 @t157 @t156 @t155 @t154)) % 0.55/0.86 (define @t162 () (@var "Y_1" $$unsorted)) % 0.55/0.86 (define @t163 () (tptp.product_prod @t149 @t55)) % 0.55/0.86 (define @t164 () (tptp.product_prod @t2 @t163)) % 0.55/0.86 (define @t165 () (tptp.product_prod @t3 @t164)) % 0.55/0.86 (define @t166 () (tptp.product_prod @t1 @t165)) % 0.55/0.86 (define @t167 () (tptp.hAPP @t165 @t166 (tptp.hAPP @t1 (tptp.fun @t165 @t166) (tptp.product_Pair @t1 @t165) @t159) (tptp.hAPP @t164 @t165 (tptp.hAPP @t3 (tptp.fun @t164 @t165) (tptp.product_Pair @t3 @t164) @t158) (tptp.hAPP @t163 @t164 (tptp.hAPP @t2 (tptp.fun @t163 @t164) (tptp.product_Pair @t2 @t163) @t157) (tptp.hAPP @t55 @t163 (tptp.hAPP @t149 (tptp.fun @t55 @t163) (tptp.product_Pair @t149 @t55) @t156) @t155))))) % 0.55/0.86 (define @t168 () (@list @t159 @t158 @t157 @t156 @t155)) % 0.55/0.86 (define @t169 () (tptp.product_prod @t2 @t149)) % 0.55/0.86 (define @t170 () (tptp.product_prod @t3 @t169)) % 0.55/0.86 (define @t171 () (tptp.product_prod @t1 @t170)) % 0.55/0.86 (define @t172 () (tptp.hAPP @t170 @t171 (tptp.hAPP @t1 (tptp.fun @t170 @t171) (tptp.product_Pair @t1 @t170) @t159) (tptp.hAPP @t169 @t170 (tptp.hAPP @t3 (tptp.fun @t169 @t170) (tptp.product_Pair @t3 @t169) @t158) (tptp.hAPP @t149 @t169 (tptp.hAPP @t2 (tptp.fun @t149 @t169) (tptp.product_Pair @t2 @t149) @t157) @t156)))) % 0.55/0.86 (define @t173 () (@list @t159 @t158 @t157 @t156)) % 0.55/0.86 (define @t174 () (@var "B_3" $$unsorted)) % 0.55/0.86 (define @t175 () (@var "B_4" $$unsorted)) % 0.55/0.86 (define @t176 () (@var "A_1" $$unsorted)) % 0.55/0.86 (define @t177 () (@var "A_2" $$unsorted)) % 0.55/0.86 (define @t178 () (tptp.product_Pair @t1 @t3)) % 0.55/0.86 (define @t179 () (tptp.fun @t3 @t66)) % 0.55/0.86 (define @t180 () (@var "B_2" $$unsorted)) % 0.55/0.86 (define @t181 () (tptp.ti @t3 @t126)) % 0.55/0.86 (define @t182 () (@var "A_3" $$unsorted)) % 0.55/0.86 (define @t183 () (tptp.ti @t1 @t122)) % 0.55/0.86 (define @t184 () (= @t183 (tptp.ti @t1 @t182))) % 0.55/0.86 (define @t185 () (tptp.hAPP @t3 @t66 (tptp.hAPP @t1 @t179 @t178 @t122) @t126)) % 0.55/0.86 (define @t186 () (tptp.hAPP @t3 @t66 (tptp.hAPP @t1 @t179 @t178 @t159) @t158)) % 0.55/0.86 (define @t187 () (tptp.hBOOL (tptp.hAPP @t66 tptp.bool @t148 @t186))) % 0.55/0.86 (define @t188 () (@list @t159 @t158)) % 0.55/0.86 (define @t189 () (@var "X1" $$unsorted)) % 0.55/0.86 (define @t190 () (tptp.hBOOL (tptp.hAPP @t66 tptp.bool @t148 @t189))) % 0.55/0.86 (define @t191 () (@list @t189)) % 0.55/0.86 (define @t192 () (@list @t1 @t3 @t148)) % 0.55/0.86 (define @t193 () (@var "X" $$unsorted)) % 0.55/0.86 (define @t194 () (tptp.hAPP @t1 @t3 @t113 @t193)) % 0.55/0.86 (define @t195 () (tptp.hAPP @t1 @t3 (tptp.hAPP @t3 @t6 (tptp.hAPP @t1 @t46 @t117 @t122) @t126) @t193)) % 0.55/0.86 (define @t196 () (= (tptp.ti @t1 @t193) @t183)) % 0.55/0.86 (define @t197 () (tptp.hAPP @t1 @t15 (tptp.hAPP @t3 @t16 (tptp.hAPP @t15 (tptp.fun @t3 @t16) (tptp.fun_upd @t3 @t1) @t113) @t115) @t119)) % 0.55/0.86 (define @t198 () (@list @t3 @t1 @t113 @t115 @t119)) % 0.55/0.86 (define @t199 () (@var "Z" $$unsorted)) % 0.55/0.86 (define @t200 () (tptp.hAPP @t3 @t6 @t118 @t119)) % 0.55/0.86 (define @t201 () (tptp.hAPP @t1 @t3 @t200 @t199)) % 0.55/0.86 (define @t202 () (= (tptp.ti @t1 @t199) (tptp.ti @t1 @t115))) % 0.55/0.86 (define @t203 () (=> (not @t202) (= @t201 (tptp.hAPP @t1 @t3 @t113 @t199)))) % 0.55/0.86 (define @t204 () (@list @t3 @t1 @t113 @t119 @t199 @t115)) % 0.55/0.86 (define @t205 () (@var "D" $$unsorted)) % 0.55/0.86 (define @t206 () (@var "C" $$unsorted)) % 0.55/0.86 (define @t207 () (tptp.hAPP @t6 @t47 @t45 @t121)) % 0.55/0.86 (define @t208 () (@var "T_3" $$unsorted)) % 0.55/0.86 (define @t209 () (@var "P" $$unsorted)) % 0.55/0.86 (define @t210 () (@var "H_b" $$unsorted)) % 0.55/0.86 (define @t211 () (tptp.hAPP @t29 @t25 @t22 @t148)) % 0.55/0.86 (define @t212 () (@var "Hb" $$unsorted)) % 0.55/0.86 (define @t213 () (@var "Eb" $$unsorted)) % 0.55/0.86 (define @t214 () (tptp.hAPP @t29 @t88 tptp.wTrt @t148)) % 0.55/0.86 (define @t215 () (tptp.hAPP @t24 @t87 @t214 @t212)) % 0.55/0.86 (define @t216 () (tptp.hAPP @t32 @t86 @t215 @t144)) % 0.55/0.86 (define @t217 () (tptp.hBOOL (tptp.hAPP tptp.ty tptp.bool (tptp.hAPP @t20 @t80 @t216 @t213) @t142))) % 0.55/0.86 (define @t218 () (tptp.hAPP @t29 @t73 tptp.red @t148)) % 0.55/0.86 (define @t219 () (@var "L_b" $$unsorted)) % 0.55/0.86 (define @t220 () (tptp.hAPP @t24 @t100 @t99 @t210)) % 0.55/0.86 (define @t221 () (tptp.hAPP @t34 @t70 @t220 @t219)) % 0.55/0.86 (define @t222 () (@var "E_b" $$unsorted)) % 0.55/0.86 (define @t223 () (tptp.hAPP @t20 @t102 @t101 @t222)) % 0.55/0.86 (define @t224 () (tptp.hAPP @t70 @t71 @t223 @t221)) % 0.55/0.86 (define @t225 () (@var "Lb" $$unsorted)) % 0.55/0.86 (define @t226 () (tptp.hAPP @t24 @t100 @t99 @t212)) % 0.55/0.86 (define @t227 () (tptp.hAPP @t34 @t70 @t226 @t225)) % 0.55/0.86 (define @t228 () (tptp.hAPP @t20 @t102 @t101 @t213)) % 0.55/0.86 (define @t229 () (tptp.hBOOL (tptp.hAPP @t73 tptp.bool (tptp.hAPP @t72 @t111 @t110 (tptp.hAPP @t71 @t72 (tptp.hAPP @t71 @t109 @t108 (tptp.hAPP @t70 @t71 @t228 @t227)) @t224)) @t218))) % 0.55/0.86 (define @t230 () (@list @t144 @t142 @t213 @t212 @t225 @t222 @t210 @t219 @t148)) % 0.55/0.86 (define @t231 () (tptp.hAPP @t29 @t36 @t30 @t148)) % 0.55/0.86 (define @t232 () (tptp.product_Pair @t3 @t2)) % 0.55/0.86 (define @t233 () (tptp.fun @t2 @t60)) % 0.55/0.86 (define @t234 () (tptp.product_prod @t1 @t60)) % 0.55/0.86 (define @t235 () (tptp.hAPP @t60 @t234 (tptp.hAPP @t1 (tptp.fun @t60 @t234) (tptp.product_Pair @t1 @t60) @t159) (tptp.hAPP @t2 @t60 (tptp.hAPP @t3 @t233 @t232 @t158) @t157))) % 0.55/0.86 (define @t236 () (@list @t159 @t158 @t157)) % 0.55/0.86 (define @t237 () (@var "S_1" $$unsorted)) % 0.55/0.86 (define @t238 () (tptp.hAPP @t32 @t74 (tptp.hAPP @t29 @t83 tptp.typeSa885026672_sconf @t148) @t144)) % 0.55/0.86 (define @t239 () (@var "S" $$unsorted)) % 0.55/0.86 (define @t240 () (tptp.hBOOL (tptp.hAPP @t70 tptp.bool @t238 @t239))) % 0.55/0.86 (define @t241 () (tptp.hBOOL (tptp.hAPP @t73 tptp.bool (tptp.hAPP @t72 @t111 @t110 (tptp.hAPP @t71 @t72 (tptp.hAPP @t71 @t109 @t108 (tptp.hAPP @t70 @t71 @t228 @t239)) (tptp.hAPP @t70 @t71 @t223 @t237))) @t218))) % 0.55/0.86 (define @t242 () (@var "F1" $$unsorted)) % 0.55/0.86 (define @t243 () (tptp.hAPP @t2 @t1 (tptp.hAPP @t3 @t62 @t242 @t122) @t126)) % 0.55/0.86 (define @t244 () (tptp.hAPP @t2 @t60 (tptp.hAPP @t3 @t233 @t232 @t122) @t126)) % 0.55/0.86 (define @t245 () (@list @t3 @t2 @t1 @t242 @t122 @t126)) % 0.55/0.86 (define @t246 () (@var "S_3" $$unsorted)) % 0.55/0.86 (define @t247 () (tptp.fun @t66 tptp.bool)) % 0.55/0.86 (define @t248 () (@var "R_1" $$unsorted)) % 0.55/0.86 (define @t249 () (@var "Xa" $$unsorted)) % 0.55/0.86 (define @t250 () (tptp.hAPP @t1 @t179 @t178 @t193)) % 0.55/0.86 (define @t251 () (tptp.hAPP @t66 (tptp.fun @t247 tptp.bool) (tptp.member @t66) (tptp.hAPP @t3 @t66 @t250 @t249))) % 0.55/0.86 (define @t252 () (@var "S_2" $$unsorted)) % 0.55/0.86 (define @t253 () (tptp.hAPP (tptp.list (tptp.product_prod @t19 (tptp.product_prod @t19 (tptp.product_prod @t28 (tptp.list (tptp.product_prod @t19 (tptp.product_prod @t26 (tptp.product_prod tptp.ty @t1)))))))) @t81 (tptp.widen @t1) @t209)) % 0.55/0.86 (define @t254 () (tptp.hAPP tptp.ty @t80 @t253 @t252)) % 0.55/0.86 (define @t255 () (@var "U_1" $$unsorted)) % 0.55/0.86 (define @t256 () (tptp.val_1 @t19)) % 0.55/0.86 (define @t257 () (tptp.lAss @t19)) % 0.55/0.86 (define @t258 () (tptp.fun @t20 @t20)) % 0.55/0.86 (define @t259 () (tptp.seq @t19)) % 0.55/0.86 (define @t260 () (tptp.block @t19)) % 0.55/0.86 (define @t261 () (tptp.fun tptp.ty @t258)) % 0.55/0.86 (define @t262 () (@var "Y" $$unsorted)) % 0.55/0.86 (define @t263 () (tptp.hAPP @t3 @t66 @t250 @t262)) % 0.55/0.86 (define @t264 () (@var "P_2" $$unsorted)) % 0.55/0.86 (define @t265 () (@list @t193 @t262)) % 0.55/0.86 (define @t266 () (tptp.fun @t34 tptp.bool)) % 0.55/0.86 (define @t267 () (tptp.fun @t32 @t266)) % 0.55/0.86 (define @t268 () (tptp.fun @t24 @t267)) % 0.55/0.86 (define @t269 () (tptp.fun @t24 @t266)) % 0.55/0.86 (define @t270 () (tptp.fun @t24 @t89)) % 0.55/0.86 (define @t271 () (tptp.fun @t266 @t266)) % 0.55/0.86 (define @t272 () (tptp.fun @t24 @t271)) % 0.55/0.86 (define @t273 () (tptp.product_prod_case @t1 @t3 tptp.bool)) % 0.55/0.86 (define @t274 () (tptp.fun @t3 tptp.bool)) % 0.55/0.86 (define @t275 () (tptp.fun @t1 @t274)) % 0.55/0.86 (define @t276 () (tptp.hBOOL (tptp.hAPP @t66 tptp.bool (tptp.hAPP @t275 @t247 @t273 @t113) @t185))) % 0.55/0.86 (define @t277 () (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t1 @t274 @t113 @t122) @t126))) % 0.55/0.86 (define @t278 () (@var "Q_2" $$unsorted)) % 0.55/0.86 (define @t279 () (tptp.hAPP @t12 @t67 @t65 @t206)) % 0.55/0.86 (define @t280 () (@var "P_1" $$unsorted)) % 0.55/0.86 (define @t281 () (tptp.ti @t66 @t280)) % 0.55/0.86 (define @t282 () (@var "G" $$unsorted)) % 0.55/0.86 (define @t283 () (tptp.product_prod_case @t3 @t2 @t1)) % 0.55/0.86 (define @t284 () (tptp.hAPP @t63 @t61 @t283 @t113)) % 0.55/0.86 (define @t285 () (tptp.fun @t55 @t1)) % 0.55/0.86 (define @t286 () (tptp.fun @t55 @t60)) % 0.55/0.86 (define @t287 () (tptp.fun @t286 @t285)) % 0.55/0.86 (define @t288 () (tptp.fun @t149 @t285)) % 0.55/0.86 (define @t289 () (tptp.fun @t149 @t286)) % 0.55/0.86 (define @t290 () (@var "Q_1" $$unsorted)) % 0.55/0.86 (define @t291 () (tptp.fun @t274 @t274)) % 0.55/0.86 (define @t292 () (tptp.fun @t179 @t8)) % 0.55/0.86 (define @t293 () (tptp.fun @t1 @t179)) % 0.55/0.86 (define @t294 () (@var "Va_1" $$unsorted)) % 0.55/0.86 (define @t295 () (tptp.hAPP @t34 @t70 @t220 (tptp.hAPP @t23 @t34 (tptp.hAPP @t19 @t104 (tptp.hAPP @t34 @t105 @t103 @t219) @t294) (tptp.hAPP @t19 @t23 @t225 @t294)))) % 0.55/0.86 (define @t296 () (@var "V_a" $$unsorted)) % 0.55/0.86 (define @t297 () (tptp.hAPP @t19 @t258 @t257 @t294)) % 0.55/0.86 (define @t298 () (tptp.hAPP tptp.ty @t258 (tptp.hAPP @t19 @t261 @t260 @t294) @t142)) % 0.55/0.86 (define @t299 () (tptp.hAPP @t20 @t20 @t298 (tptp.hAPP @t20 @t20 (tptp.hAPP @t20 @t258 @t259 (tptp.hAPP @t20 @t20 @t297 (tptp.hAPP tptp.val @t20 @t256 @t296))) @t222))) % 0.55/0.86 (define @t300 () (@var "Va" $$unsorted)) % 0.55/0.86 (define @t301 () (tptp.hAPP tptp.val @t20 @t256 @t300)) % 0.55/0.86 (define @t302 () (tptp.hAPP @t20 @t20 @t297 @t301)) % 0.55/0.86 (define @t303 () (tptp.hAPP @t20 @t258 @t259 @t302)) % 0.55/0.86 (define @t304 () (tptp.hAPP @t20 @t20 @t298 (tptp.hAPP @t20 @t20 @t303 @t213))) % 0.55/0.86 (define @t305 () (tptp.hAPP @t19 @t23 @t219 @t294)) % 0.55/0.86 (define @t306 () (= @t305 (tptp.hAPP tptp.val @t23 @t98 @t296))) % 0.55/0.86 (define @t307 () (tptp.hAPP tptp.val @t23 @t98 @t300)) % 0.55/0.86 (define @t308 () (tptp.hAPP @t19 @t104 (tptp.hAPP @t34 @t105 @t103 @t225) @t294)) % 0.55/0.86 (define @t309 () (tptp.hAPP @t34 @t70 @t226 (tptp.hAPP @t23 @t34 @t308 @t307))) % 0.55/0.86 (define @t310 () (@var "U" $$unsorted)) % 0.55/0.86 (define @t311 () (tptp.hAPP tptp.val @t20 @t256 @t310)) % 0.55/0.86 (define @t312 () (tptp.hAPP @t70 @t71 (tptp.hAPP @t20 @t102 @t101 @t311) @t239)) % 0.55/0.86 (define @t313 () (tptp.hAPP @t20 @t20 @t298 (tptp.hAPP @t20 @t20 @t303 @t311))) % 0.55/0.86 (define @t314 () (tptp.hBOOL (tptp.hAPP @t66 tptp.bool (tptp.hAPP @t275 @t247 @t273 @t206) @t280))) % 0.55/0.86 (define @t315 () (= @t281 @t186)) % 0.55/0.86 (define @t316 () (@list @t1 @t3 @t206 @t280)) % 0.55/0.86 (define @t317 () (= @t281 @t263)) % 0.55/0.86 (define @t318 () (@var "T_a" $$unsorted)) % 0.55/0.86 (define @t319 () (tptp.hAPP @t20 @t20 @t298 @t213)) % 0.55/0.86 (define @t320 () (tptp.fun @t31 @t32)) % 0.55/0.86 (define @t321 () (tptp.fun @t2 @t96)) % 0.55/0.86 (define @t322 () (tptp.hAPP (tptp.fun @t3 @t321) (tptp.fun @t60 @t96) (tptp.product_prod_case @t3 @t2 @t96) @t206)) % 0.55/0.86 (define @t323 () (tptp.hAPP @t1 @t97 @t95 @t199)) % 0.55/0.86 (define @t324 () (@var "T_2" $$unsorted)) % 0.55/0.86 (define @t325 () (@var "E_2" $$unsorted)) % 0.55/0.86 (define @t326 () (@var "E_1" $$unsorted)) % 0.55/0.86 (define @t327 () (@var "T_1_1" $$unsorted)) % 0.55/0.86 (define @t328 () (tptp.fun @t2 tptp.bool)) % 0.55/0.86 (define @t329 () (tptp.fun @t3 @t328)) % 0.55/0.86 (define @t330 () (tptp.product_prod_case @t1 @t3 @t328)) % 0.55/0.86 (define @t331 () (tptp.fun @t66 @t328)) % 0.55/0.86 (define @t332 () (tptp.fun @t1 @t329)) % 0.55/0.86 (define @t333 () (tptp.hAPP @t20 @t20 (tptp.hAPP @t20 @t258 @t259 @t222) @t325)) % 0.55/0.86 (define @t334 () (tptp.hAPP @t20 @t20 (tptp.hAPP @t20 @t258 @t259 @t213) @t325)) % 0.55/0.86 (define @t335 () (tptp.hAPP @t20 @t20 @t297 @t222)) % 0.55/0.86 (define @t336 () (tptp.hAPP @t20 @t20 @t297 @t213)) % 0.55/0.86 (define @t337 () (tptp.hAPP @t20 @t20 (tptp.hAPP @t20 @t258 @t259 @t301) @t325)) % 0.55/0.86 (define @t338 () (tptp.hAPP @t20 @t20 @t298 @t311)) % 0.55/0.86 (define @t339 () (tptp.hAPP @t66 @t328 (tptp.hAPP @t332 @t331 @t330 @t206) @t280)) % 0.55/0.86 (define @t340 () (tptp.hAPP @t2 @t60 (tptp.hAPP @t3 @t233 @t232 @t193) @t262)) % 0.55/0.86 (define @t341 () (tptp.hAPP @t3 @t328 (tptp.hAPP @t1 @t329 @t206 @t159) @t158)) % 0.55/0.86 (define @t342 () (tptp.hAPP @t2 (tptp.fun @t328 tptp.bool) (tptp.member @t2) @t199)) % 0.55/0.86 (define @t343 () (@var "Exp_1" $$unsorted)) % 0.55/0.86 (define @t344 () (tptp.hAPP @t38 @t38 (tptp.hAPP @t1 @t39 @t42 @t177) @t343)) % 0.55/0.86 (define @t345 () (@var "Exp" $$unsorted)) % 0.55/0.86 (define @t346 () (@var "Ty" $$unsorted)) % 0.55/0.86 (define @t347 () (tptp.hAPP @t38 @t38 (tptp.hAPP tptp.ty @t39 (tptp.hAPP @t1 @t40 @t37 @t176) @t346) @t345)) % 0.55/0.86 (define @t348 () (@var "Exp2" $$unsorted)) % 0.55/0.86 (define @t349 () (@var "Exp1" $$unsorted)) % 0.55/0.86 (define @t350 () (tptp.hAPP @t38 @t38 (tptp.hAPP @t38 @t39 @t43 @t349) @t348)) % 0.55/0.86 (define @t351 () (@var "Ty_1" $$unsorted)) % 0.55/0.86 (define @t352 () (tptp.hAPP @t38 @t38 (tptp.hAPP tptp.ty @t39 (tptp.hAPP @t1 @t40 @t37 @t177) @t351) @t343)) % 0.55/0.86 (define @t353 () (@var "Val_1" $$unsorted)) % 0.55/0.86 (define @t354 () (@var "Val_2" $$unsorted)) % 0.55/0.86 (define @t355 () (@var "Exp2_1" $$unsorted)) % 0.55/0.86 (define @t356 () (@var "Exp2_2" $$unsorted)) % 0.55/0.86 (define @t357 () (@var "Exp1_1" $$unsorted)) % 0.55/0.86 (define @t358 () (@var "Exp1_2" $$unsorted)) % 0.55/0.86 (define @t359 () (@var "Exp_2" $$unsorted)) % 0.55/0.86 (define @t360 () (@var "Exp_3" $$unsorted)) % 0.55/0.86 (define @t361 () (= @t360 @t359)) % 0.55/0.86 (define @t362 () (@list @t193)) % 0.55/0.86 (define @t363 () (@var "A_5" $$unsorted)) % 0.55/0.86 (define @t364 () (@var "Ty_2" $$unsorted)) % 0.55/0.86 (define @t365 () (@var "Ty_3" $$unsorted)) % 0.55/0.86 (define @t366 () (@var "Val" $$unsorted)) % 0.55/0.86 (define @t367 () (tptp.hAPP tptp.val @t38 @t44 @t366)) % 0.55/0.86 (define @t368 () (tptp.hAPP @t38 @t38 (tptp.hAPP @t1 @t39 @t42 @t176) @t345)) % 0.55/0.86 (define @t369 () (tptp.hAPP @t29 @t77 tptp.redp @t148)) % 0.55/0.86 (define @t370 () (tptp.hAPP @t20 @t76 @t369 @t213)) % 0.55/0.86 (define @t371 () (tptp.hAPP @t20 @t20 @t298 (tptp.hAPP @t20 @t20 @t303 @t222))) % 0.55/0.86 (define @t372 () (not (tptp.hBOOL (tptp.hAPP @t20 tptp.bool (tptp.hAPP @t19 @t69 tptp.assigned @t294) @t213)))) % 0.55/0.86 (define @t373 () (= @t305 @t307)) % 0.55/0.86 (define @t374 () (tptp.none tptp.val)) % 0.55/0.86 (define @t375 () (tptp.hAPP @t34 @t70 @t226 (tptp.hAPP @t23 @t34 @t308 @t374))) % 0.55/0.86 (define @t376 () (tptp.hBOOL (tptp.hAPP @t70 tptp.bool (tptp.hAPP @t20 @t74 (tptp.hAPP @t70 @t75 @t370 @t239) @t222) @t237))) % 0.55/0.86 (define @t377 () (tptp.hAPP @t70 @t75 (tptp.hAPP @t20 @t76 @t369 @t319) @t227)) % 0.55/0.86 (define @t378 () (tptp.hBOOL (tptp.hAPP @t70 tptp.bool (tptp.hAPP @t20 @t74 (tptp.hAPP @t70 @t75 @t370 @t375) @t222) @t221))) % 0.55/0.86 (define @t379 () (@var "Xc" $$unsorted)) % 0.55/0.86 (define @t380 () (@var "Xb" $$unsorted)) % 0.55/0.86 (define @t381 () (@var "A" $$unsorted)) % 0.55/0.86 (define @t382 () (@var "T" $$unsorted)) % 0.55/0.86 (define @t383 () (tptp.ti @t382 @t381)) % 0.55/0.86 (define @t384 () (@var "R" $$unsorted)) % 0.55/0.86 (define @t385 () (@var "Q" $$unsorted)) % 0.55/0.86 (define @t386 () (tptp.hAPP @t1 @t3 @t385 @t384)) % 0.55/0.86 (define @t387 () (@list @t1 @t2 @t3 @t209 @t385 @t384)) % 0.55/0.86 (define @t388 () (tptp.hAPP @t1 @t8 @t209 @t384)) % 0.55/0.86 (define @t389 () (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool @t89 tptp.fconj @t209) @t385))) % 0.55/0.86 (define @t390 () (tptp.hBOOL @t385)) % 0.55/0.86 (define @t391 () (tptp.hBOOL @t209)) % 0.55/0.86 (define @t392 () (not @t389)) % 0.55/0.86 (define @t393 () (@list @t209 @t385)) % 0.55/0.86 (assume @p1 (forall @t9 (= (tptp.ti (tptp.fun @t8 @t7) @t4) @t4))) % 0.55/0.86 (assume @p2 (forall @t13 (= (tptp.ti (tptp.fun @t12 @t11) @t10) @t10))) % 0.55/0.86 (assume @p3 (forall @t17 (= (tptp.ti @t16 @t14) @t14))) % 0.55/0.86 (assume @p4 (forall @t13 (= (tptp.ti (tptp.fun @t12 @t7) @t18) @t18))) % 0.55/0.86 (assume @p5 (= (tptp.ti (tptp.fun @t29 @t25) @t22) @t22)) % 0.55/0.86 (assume @p6 (= (tptp.ti (tptp.fun @t29 @t36) @t30) @t30)) % 0.55/0.86 (assume @p7 (forall @t41 (= (tptp.ti (tptp.fun @t1 @t40) @t37) @t37))) % 0.55/0.86 (assume @p8 (forall @t41 (= (tptp.ti (tptp.fun @t1 @t39) @t42) @t42))) % 0.55/0.86 (assume @p9 (forall @t41 (= (tptp.ti (tptp.fun @t38 @t39) @t43) @t43))) % 0.55/0.86 (assume @p10 (forall @t41 (= (tptp.ti (tptp.fun tptp.val @t38) @t44) @t44))) % 0.55/0.86 (assume @p11 (forall @t17 (= (tptp.ti (tptp.fun @t6 @t47) @t45) @t45))) % 0.55/0.86 (assume @p12 (forall @t41 (= (tptp.ti @t1 @t48) @t48))) % 0.55/0.86 (assume @p13 (= (tptp.ti @t49 tptp.wf_J_mdecl) tptp.wf_J_mdecl)) % 0.55/0.86 (assume @p14 (forall (@list @t3) (= (tptp.ti @t51 @t50) @t50))) % 0.55/0.86 (assume @p15 (forall @t41 (= (tptp.ti (tptp.fun @t1 @t53) @t52) @t52))) % 0.55/0.86 (assume @p16 (forall (@list @t55 @t54) (= (tptp.ti (tptp.fun @t55 @t58) @t56) @t56))) % 0.55/0.86 (assume @p17 (forall @t9 (= (tptp.ti @t64 @t59) @t59))) % 0.55/0.86 (assume @p18 (forall @t13 (= (tptp.ti (tptp.fun @t12 @t67) @t65) @t65))) % 0.55/0.86 (assume @p19 (forall @t9 (= (tptp.ti @t64 @t68) @t68))) % 0.55/0.86 (assume @p20 (= (tptp.ti (tptp.fun @t19 @t69) tptp.assigned) tptp.assigned)) % 0.55/0.86 (assume @p21 (= (tptp.ti (tptp.fun @t29 @t73) tptp.red) tptp.red)) % 0.55/0.86 (assume @p22 (= (tptp.ti (tptp.fun @t29 @t77) tptp.redp) tptp.redp)) % 0.55/0.86 (assume @p23 (= (tptp.ti (tptp.fun @t70 @t24) tptp.hp) tptp.hp)) % 0.55/0.86 (assume @p24 (forall (@list @t78) (= (tptp.ti (tptp.fun @t82 @t81) @t79) @t79))) % 0.55/0.86 (assume @p25 (= (tptp.ti (tptp.fun @t29 @t83) tptp.typeSa885026672_sconf) tptp.typeSa885026672_sconf)) % 0.55/0.86 (assume @p26 (= (tptp.ti tptp.val tptp.unit) tptp.unit)) % 0.55/0.86 (assume @p27 (= (tptp.ti (tptp.fun @t49 @t85) @t84) @t84)) % 0.55/0.86 (assume @p28 (= (tptp.ti (tptp.fun @t29 @t88) tptp.wTrt) tptp.wTrt)) % 0.55/0.86 (assume @p29 (= (tptp.ti @t90 tptp.fconj) tptp.fconj)) % 0.55/0.86 (assume @p30 (forall @t94 (= (tptp.hAPP @t1 @t2 (tptp.ti @t5 @t92) @t91) @t93))) % 0.55/0.86 (assume @p31 (forall @t94 (= (tptp.hAPP @t1 @t2 @t92 (tptp.ti @t1 @t91)) @t93))) % 0.55/0.86 (assume @p32 (forall (@list @t2 @t1 @t92 @t91) (= (tptp.ti @t2 @t93) @t93))) % 0.55/0.86 (assume @p33 (forall (@list @t92) (= (tptp.hBOOL (tptp.ti tptp.bool @t92)) (tptp.hBOOL @t92)))) % 0.55/0.86 (assume @p34 (forall @t41 (= (tptp.ti (tptp.fun @t1 @t97) @t95) @t95))) % 0.55/0.86 (assume @p35 (= (tptp.ti @t32 tptp.e) tptp.e)) % 0.55/0.86 (assume @p36 (= (tptp.ti @t29 tptp.p) tptp.p)) % 0.55/0.86 (assume @p37 (= (tptp.ti tptp.ty tptp.t) tptp.t)) % 0.55/0.86 (assume @p38 (= (tptp.ti tptp.ty tptp.t_1) tptp.t_1)) % 0.55/0.86 (assume @p39 (= (tptp.ti @t19 tptp.v_1) tptp.v_1)) % 0.55/0.86 (assume @p40 (= (tptp.ti @t20 tptp.e_a) tptp.e_a)) % 0.55/0.86 (assume @p41 (= (tptp.ti @t20 tptp.ea) tptp.ea)) % 0.55/0.86 (assume @p42 (= (tptp.ti @t24 tptp.h_a) tptp.h_a)) % 0.55/0.86 (assume @p43 (= (tptp.ti @t24 tptp.ha) tptp.ha)) % 0.55/0.86 (assume @p44 (= (tptp.ti @t34 tptp.l_a) tptp.l_a)) % 0.55/0.86 (assume @p45 (= (tptp.ti @t34 tptp.la) tptp.la)) % 0.55/0.86 (assume @p46 (= (tptp.ti tptp.val tptp.v_2) tptp.v_2)) % 0.55/0.86 (assume @p47 (= (tptp.ti tptp.val tptp.v) tptp.v)) % 0.55/0.86 (assume @p48 (= (tptp.hAPP @t19 @t23 tptp.l_a tptp.v_1) (tptp.hAPP tptp.val @t23 @t98 tptp.v_2))) % 0.55/0.86 (assume @p49 @t112) % 0.55/0.86 (assume @p50 (forall (@list @t3 @t1 @t113 @t115) (= (tptp.hAPP @t3 @t6 @t118 @t116) @t114))) % 0.55/0.86 (assume @p51 (tptp.hBOOL (tptp.hAPP @t29 tptp.bool (tptp.hAPP @t49 @t85 @t84 tptp.wf_J_mdecl) tptp.p))) % 0.55/0.86 (assume @p52 (forall (@list @t3 @t1 @t121 @t122 @t126 @t115 @t119) (= (= (tptp.hAPP @t3 @t53 (tptp.hAPP @t53 @t128 (tptp.hAPP @t3 @t129 (tptp.hAPP @t128 @t130 @t127 @t121) @t122) (tptp.hAPP @t1 @t53 @t52 @t126)) @t115) @t120) (or (and @t124 (= (tptp.ti @t1 @t126) @t125)) (and (not @t124) (= (tptp.hAPP @t3 @t53 @t121 @t115) @t120)))))) % 0.55/0.86 (assume @p53 (forall (@list @t3 @t1 @t131 @t133 @t115) (=> (= (tptp.hAPP @t3 @t53 @t131 @t133) @t132) (= (tptp.hAPP @t53 @t128 (tptp.hAPP @t3 @t129 (tptp.hAPP @t128 @t130 @t127 @t131) @t133) @t132) (tptp.ti @t128 @t131))))) % 0.55/0.86 (assume @p54 (forall (@list @t3 @t1 @t121 @t122 @t115 @t136 @t119) (=> (= (tptp.hAPP @t51 @t138 (tptp.hAPP @t1 @t139 (tptp.hAPP @t138 @t140 @t137 @t121) @t122) @t141) (tptp.hAPP @t51 @t138 (tptp.hAPP @t1 @t139 (tptp.hAPP @t138 @t140 @t137 @t136) @t122) (tptp.hAPP @t3 @t51 @t135 @t119))) (= @t123 @t134)))) % 0.55/0.86 (assume @p55 (forall (@list @t142 @t144) (=> (tptp.hBOOL (tptp.hAPP @t70 tptp.bool (tptp.hAPP @t32 @t74 @t147 @t144) @t107)) (=> (tptp.hBOOL (tptp.hAPP tptp.ty tptp.bool (tptp.hAPP @t20 @t80 (tptp.hAPP @t32 @t86 @t146 @t144) tptp.ea) @t142)) (exists (@list @t143) (and (tptp.hBOOL (tptp.hAPP tptp.ty tptp.bool (tptp.hAPP @t20 @t80 (tptp.hAPP @t32 @t86 (tptp.hAPP @t24 @t87 @t145 tptp.h_a) @t144) tptp.e_a) @t143)) (tptp.hBOOL (tptp.hAPP tptp.ty tptp.bool (tptp.hAPP tptp.ty @t80 (tptp.hAPP @t29 @t81 (tptp.widen @t21) tptp.p) @t143) @t142)))))))) % 0.55/0.86 (assume @p56 (forall (@list @t1 @t3 @t2 @t149 @t55 @t54 @t115 @t148) (=> (forall @t161 (tptp.hBOOL (tptp.hAPP @t153 tptp.bool @t148 @t160))) (tptp.hBOOL (tptp.hAPP @t153 tptp.bool @t148 @t115))))) % 0.55/0.86 (assume @p57 (forall (@list @t1 @t3 @t2 @t149 @t55 @t54 @t162) (not (forall @t161 (not (= (tptp.ti @t153 @t162) @t160)))))) % 0.55/0.86 (assume @p58 (forall (@list @t1 @t3 @t2 @t149 @t55 @t115 @t148) (=> (forall @t168 (tptp.hBOOL (tptp.hAPP @t166 tptp.bool @t148 @t167))) (tptp.hBOOL (tptp.hAPP @t166 tptp.bool @t148 @t115))))) % 0.55/0.86 (assume @p59 (forall (@list @t1 @t3 @t2 @t149 @t55 @t162) (not (forall @t168 (not (= (tptp.ti @t166 @t162) @t167)))))) % 0.55/0.86 (assume @p60 (forall (@list @t1 @t3 @t2 @t149 @t115 @t148) (=> (forall @t173 (tptp.hBOOL (tptp.hAPP @t171 tptp.bool @t148 @t172))) (tptp.hBOOL (tptp.hAPP @t171 tptp.bool @t148 @t115))))) % 0.55/0.86 (assume @p61 (forall (@list @t1 @t3 @t2 @t149 @t162) (not (forall @t173 (not (= (tptp.ti @t171 @t162) @t172)))))) % 0.55/0.86 (assume @p62 (tptp.hBOOL (tptp.hAPP @t70 tptp.bool (tptp.hAPP @t32 @t74 @t147 tptp.e) (tptp.hAPP @t34 @t70 @t106 tptp.la)))) % 0.55/0.86 (assume @p63 (forall (@list @t3 @t1 @t177 @t175 @t176 @t174) (=> (= (tptp.hAPP @t3 @t66 (tptp.hAPP @t1 @t179 @t178 @t177) @t175) (tptp.hAPP @t3 @t66 (tptp.hAPP @t1 @t179 @t178 @t176) @t174)) (not (=> (= (tptp.ti @t1 @t177) (tptp.ti @t1 @t176)) (not (= (tptp.ti @t3 @t175) (tptp.ti @t3 @t174)))))))) % 0.55/0.86 (assume @p64 (forall (@list @t3 @t1 @t122 @t126 @t182 @t180) (= (= @t185 (tptp.hAPP @t3 @t66 (tptp.hAPP @t1 @t179 @t178 @t182) @t180)) (and @t184 (= @t181 (tptp.ti @t3 @t180)))))) % 0.55/0.86 (assume @p65 (forall @t192 (= (forall @t191 @t190) (forall @t188 @t187)))) % 0.55/0.86 (assume @p66 (forall (@list @t3 @t1 @t113 @t126 @t122 @t193) (and (=> @t196 (= @t195 @t181)) (=> (not @t196) (= @t195 @t194))))) % 0.55/0.86 (assume @p67 (forall @t198 (=> (= (tptp.hAPP @t3 @t1 @t113 @t115) @t125) (= @t197 (tptp.ti @t15 @t113))))) % 0.55/0.86 (assume @p68 (forall @t204 @t203)) % 0.55/0.86 (assume @p69 (forall (@list @t3 @t1 @t121 @t126 @t205 @t122 @t206) (=> (not (= @t183 (tptp.ti @t1 @t206))) (= (tptp.hAPP @t3 @t6 (tptp.hAPP @t1 @t46 (tptp.hAPP @t6 @t47 @t45 (tptp.hAPP @t3 @t6 (tptp.hAPP @t1 @t46 @t207 @t122) @t126)) @t206) @t205) (tptp.hAPP @t3 @t6 (tptp.hAPP @t1 @t46 (tptp.hAPP @t6 @t47 @t45 (tptp.hAPP @t3 @t6 (tptp.hAPP @t1 @t46 @t207 @t206) @t205)) @t122) @t126))))) % 0.55/0.86 (assume @p70 (forall @t204 (and (=> @t202 (= @t201 @t134)) @t203))) % 0.55/0.86 (assume @p71 (forall @t198 (= (tptp.hAPP @t3 @t1 @t197 @t115) @t125))) % 0.55/0.86 (assume @p72 (forall (@list @t3 @t1 @t113 @t115 @t119 @t199) (= (tptp.hAPP @t3 @t6 (tptp.hAPP @t1 @t46 (tptp.hAPP @t6 @t47 @t45 @t200) @t115) @t199) (tptp.hAPP @t3 @t6 @t118 @t199)))) % 0.55/0.86 (assume @p73 (forall @t198 (= (= @t200 @t114) (= @t116 @t134)))) % 0.55/0.86 (assume @p74 (forall (@list @t78 @t209 @t208) (tptp.hBOOL (tptp.hAPP tptp.ty tptp.bool (tptp.hAPP tptp.ty @t80 (tptp.hAPP @t82 @t81 @t79 @t209) @t208) @t208)))) % 0.55/0.86 (assume @p75 (forall @t230 (=> @t229 (=> @t217 (=> (tptp.hBOOL (tptp.hAPP @t24 tptp.bool @t211 @t212)) (tptp.hBOOL (tptp.hAPP @t24 tptp.bool @t211 @t210))))))) % 0.55/0.86 (assume @p76 (forall @t230 (=> @t229 (=> @t217 (=> (tptp.hBOOL (tptp.hAPP @t32 tptp.bool (tptp.hAPP @t34 @t33 (tptp.hAPP @t24 @t35 @t231 @t212) @t225) @t144)) (tptp.hBOOL (tptp.hAPP @t32 tptp.bool (tptp.hAPP @t34 @t33 (tptp.hAPP @t24 @t35 @t231 @t210) @t219) @t144))))))) % 0.55/0.86 (assume @p77 (forall (@list @t1 @t3 @t2 @t162) (not (forall @t236 (not (= (tptp.ti @t234 @t162) @t235)))))) % 0.55/0.86 (assume @p78 (forall (@list @t1 @t3 @t2 @t115 @t148) (=> (forall @t236 (tptp.hBOOL (tptp.hAPP @t234 tptp.bool @t148 @t235))) (tptp.hBOOL (tptp.hAPP @t234 tptp.bool @t148 @t115))))) % 0.55/0.86 (assume @p79 (forall (@list @t144 @t142 @t213 @t239 @t222 @t237 @t148) (=> @t241 (=> (tptp.hBOOL (tptp.hAPP tptp.ty tptp.bool (tptp.hAPP @t20 @t80 (tptp.hAPP @t32 @t86 (tptp.hAPP @t24 @t87 @t214 (tptp.hAPP @t70 @t24 tptp.hp @t239)) @t144) @t213) @t142)) (=> @t240 (tptp.hBOOL (tptp.hAPP @t70 tptp.bool @t238 @t237))))))) % 0.55/0.86 (assume @p80 (forall @t245 (= (tptp.hAPP @t60 @t1 (tptp.hAPP @t63 @t61 @t68 @t242) @t244) @t243))) % 0.55/0.86 (assume @p81 (forall (@list @t1 @t3 @t246 @t248) (= (forall (@list @t193 @t249) (= (tptp.hBOOL (tptp.hAPP @t247 tptp.bool @t251 @t248)) (tptp.hBOOL (tptp.hAPP @t247 tptp.bool @t251 @t246)))) (= (tptp.ti @t247 @t248) (tptp.ti @t247 @t246))))) % 0.55/0.86 (assume @p82 (forall (@list @t1 @t3 @t162) (not (forall @t188 (not (= (tptp.ti @t66 @t162) @t186)))))) % 0.55/0.86 (assume @p83 (forall (@list @t1 @t208 @t209 @t252 @t255) (=> (tptp.hBOOL (tptp.hAPP tptp.ty tptp.bool @t254 @t255)) (=> (tptp.hBOOL (tptp.hAPP tptp.ty tptp.bool (tptp.hAPP tptp.ty @t80 @t253 @t255) @t208)) (tptp.hBOOL (tptp.hAPP tptp.ty tptp.bool @t254 @t208)))))) % 0.55/0.86 (assume @p84 (tptp.hBOOL (tptp.hAPP tptp.ty tptp.bool (tptp.hAPP @t20 @t80 (tptp.hAPP @t32 @t86 @t146 tptp.e) (tptp.hAPP @t20 @t20 (tptp.hAPP tptp.ty @t258 (tptp.hAPP @t19 @t261 @t260 tptp.v_1) tptp.t_1) (tptp.hAPP @t20 @t20 (tptp.hAPP @t20 @t258 @t259 (tptp.hAPP @t20 @t20 (tptp.hAPP @t19 @t258 @t257 tptp.v_1) (tptp.hAPP tptp.val @t20 @t256 tptp.v))) tptp.ea))) tptp.t))) % 0.55/0.86 (assume @p85 (forall @t192 (= (exists @t191 @t190) (exists @t188 @t187)))) % 0.55/0.86 (assume @p86 (forall (@list @t1 @t3 @t264) (not (forall @t265 (not (= (tptp.ti @t66 @t264) @t263)))))) % 0.55/0.86 (assume @p87 (forall (@list @t3 @t2 @t1 @t206 @t122 @t126) (= (tptp.hAPP @t60 @t1 (tptp.hAPP @t63 @t61 @t59 @t206) @t244) (tptp.hAPP @t2 @t1 (tptp.hAPP @t3 @t62 @t206 @t122) @t126)))) % 0.55/0.86 (assume @p88 (forall (@list @t148 @t144 @t239) (= @t240 (tptp.hBOOL (tptp.hAPP @t70 tptp.bool (tptp.hAPP @t269 @t74 (tptp.product_prod_case @t24 @t34 tptp.bool) (tptp.hAPP @t269 @t269 (tptp.hAPP @t272 (tptp.fun @t269 @t269) (tptp.combs @t24 @t266 @t266) (tptp.hAPP @t270 @t272 (tptp.hAPP (tptp.fun @t89 @t271) (tptp.fun @t270 @t272) (tptp.combb @t89 @t271 @t24) (tptp.combb tptp.bool tptp.bool @t34)) (tptp.hAPP @t25 @t270 (tptp.hAPP @t90 (tptp.fun @t25 @t270) (tptp.combb tptp.bool @t89 @t24) tptp.fconj) @t211))) (tptp.hAPP @t32 @t269 (tptp.hAPP @t268 (tptp.fun @t32 @t269) (tptp.combc @t24 @t32 @t266) (tptp.hAPP @t36 @t268 (tptp.hAPP (tptp.fun @t35 @t267) (tptp.fun @t36 @t268) (tptp.combb @t35 @t267 @t24) (tptp.combc @t34 @t32 tptp.bool)) @t231)) @t144))) @t239))))) % 0.55/0.86 (assume @p89 (forall (@list @t3 @t1 @t242 @t122 @t126) (=> (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t1 @t274 @t242 @t122) @t126)) (tptp.hBOOL (tptp.hAPP @t66 tptp.bool (tptp.hAPP @t275 @t247 @t273 @t242) @t185))))) % 0.55/0.86 (assume @p90 (forall (@list @t3 @t1 @t113 @t122 @t126) (=> @t277 @t276))) % 0.55/0.86 (assume @p91 (forall (@list @t1 @t3 @t113 @t122 @t126) (=> @t276 @t277))) % 0.55/0.86 (assume @p92 (forall (@list @t2 @t1 @t3 @t206 @t280 @t278) (=> (= @t281 (tptp.ti @t66 @t278)) (= (tptp.hAPP @t66 @t2 @t279 @t280) (tptp.hAPP @t66 @t2 @t279 @t278))))) % 0.55/0.86 (assume @p93 (forall @t13 (= (tptp.produc1605651328_split @t1 @t3 @t2) @t65))) % 0.55/0.86 (assume @p94 (forall (@list @t3 @t2 @t1 @t149 @t55 @t113 @t282 @t280) (= (tptp.hAPP @t60 @t1 @t284 (tptp.hAPP @t163 @t60 (tptp.hAPP @t289 (tptp.fun @t163 @t60) (tptp.product_prod_case @t149 @t55 @t60) @t282) @t280)) (tptp.hAPP @t163 @t1 (tptp.hAPP @t288 (tptp.fun @t163 @t1) (tptp.product_prod_case @t149 @t55 @t1) (tptp.hAPP @t289 @t288 (tptp.hAPP @t287 (tptp.fun @t289 @t288) (tptp.combb @t286 @t285 @t149) (tptp.hAPP @t61 @t287 (tptp.combb @t60 @t1 @t55) @t284)) @t282)) @t280)))) % 0.55/0.86 (assume @p95 (forall (@list @t1 @t3 @t148 @t290 @t193) (= (tptp.hBOOL (tptp.hAPP @t66 tptp.bool (tptp.hAPP @t275 @t247 @t273 (tptp.hAPP @t275 @t275 (tptp.hAPP @t291 (tptp.fun @t275 @t275) (tptp.combb @t274 @t274 @t1) (tptp.hAPP @t89 @t291 (tptp.combb tptp.bool tptp.bool @t3) (tptp.hAPP tptp.bool @t89 tptp.fconj @t148))) @t290)) @t193)) (and (tptp.hBOOL @t148) (tptp.hBOOL (tptp.hAPP @t66 tptp.bool (tptp.hAPP @t275 @t247 @t273 @t290) @t193)))))) % 0.55/0.86 (assume @p96 (forall @t245 (= (tptp.hAPP @t60 @t1 (tptp.hAPP @t63 @t61 @t283 @t242) @t244) @t243))) % 0.55/0.86 (assume @p97 (forall (@list @t3 @t2 @t1 @t113 @t122 @t126) (= (tptp.hAPP @t60 @t1 @t284 @t244) (tptp.hAPP @t2 @t1 (tptp.hAPP @t3 @t62 @t113 @t122) @t126)))) % 0.55/0.86 (assume @p98 (forall (@list @t1 @t3 @t2 @t113) (= (tptp.hAPP @t12 @t67 @t65 (tptp.hAPP @t293 @t12 (tptp.hAPP @t292 (tptp.fun @t293 @t12) (tptp.combb @t179 @t8 @t1) (tptp.hAPP @t67 @t292 (tptp.combb @t66 @t2 @t3) @t113)) @t178)) (tptp.ti @t67 @t113)))) % 0.55/0.86 (assume @p99 (forall (@list @t142 @t296 @t213 @t212 @t225 @t294 @t300 @t222 @t210 @t219 @t148) (=> (tptp.hBOOL (tptp.hAPP @t73 tptp.bool (tptp.hAPP @t72 @t111 @t110 (tptp.hAPP @t71 @t72 (tptp.hAPP @t71 @t109 @t108 (tptp.hAPP @t70 @t71 @t228 @t309)) @t224)) @t218)) (=> @t306 (tptp.hBOOL (tptp.hAPP @t73 tptp.bool (tptp.hAPP @t72 @t111 @t110 (tptp.hAPP @t71 @t72 (tptp.hAPP @t71 @t109 @t108 (tptp.hAPP @t70 @t71 (tptp.hAPP @t20 @t102 @t101 @t304) @t227)) (tptp.hAPP @t70 @t71 (tptp.hAPP @t20 @t102 @t101 @t299) @t295))) @t218)))))) % 0.55/0.86 (assume @p100 (forall (@list @t294 @t142 @t300 @t310 @t239 @t148) (tptp.hBOOL (tptp.hAPP @t73 tptp.bool (tptp.hAPP @t72 @t111 @t110 (tptp.hAPP @t71 @t72 (tptp.hAPP @t71 @t109 @t108 (tptp.hAPP @t70 @t71 (tptp.hAPP @t20 @t102 @t101 @t313) @t239)) @t312)) @t218)))) % 0.55/0.86 (assume @p101 (forall @t316 (=> (forall @t188 (=> @t315 (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t1 @t274 @t206 @t159) @t158)))) @t314))) % 0.55/0.86 (assume @p102 (forall @t316 (=> @t314 (not (forall @t265 (=> @t317 (not (tptp.hBOOL (tptp.hAPP @t3 tptp.bool (tptp.hAPP @t1 @t274 @t206 @t193) @t262))))))))) % 0.55/0.86 (assume @p103 (forall (@list @t148 @t212 @t144 @t294 @t142 @t213 @t318) (=> (tptp.hBOOL (tptp.hAPP tptp.ty tptp.bool (tptp.hAPP @t20 @t80 (tptp.hAPP @t32 @t86 @t215 (tptp.hAPP @t31 @t32 (tptp.hAPP @t19 @t320 (tptp.hAPP @t32 (tptp.fun @t19 @t320) (tptp.fun_upd @t19 @t31) @t144) @t294) (tptp.hAPP tptp.ty @t31 (tptp.some tptp.ty) @t142))) @t213) @t318)) (tptp.hBOOL (tptp.hAPP tptp.ty tptp.bool (tptp.hAPP @t20 @t80 @t216 @t319) @t318))))) % 0.55/0.86 (assume @p104 (forall (@list @t1 @t2 @t3 @t199 @t206 @t122 @t126) (=> (tptp.hBOOL (tptp.hAPP @t96 tptp.bool @t323 (tptp.hAPP @t2 @t96 (tptp.hAPP @t3 @t321 @t206 @t122) @t126))) (tptp.hBOOL (tptp.hAPP @t96 tptp.bool @t323 (tptp.hAPP @t60 @t96 @t322 @t244)))))) % 0.55/0.86 (assume @p105 (forall (@list @t325 @t324 @t148 @t212 @t144 @t326 @t327) (=> (tptp.hBOOL (tptp.hAPP tptp.ty tptp.bool (tptp.hAPP @t20 @t80 @t216 @t326) @t327)) (=> (tptp.hBOOL (tptp.hAPP tptp.ty tptp.bool (tptp.hAPP @t20 @t80 @t216 @t325) @t324)) (tptp.hBOOL (tptp.hAPP tptp.ty tptp.bool (tptp.hAPP @t20 @t80 @t216 (tptp.hAPP @t20 @t20 (tptp.hAPP @t20 @t258 @t259 @t326) @t325)) @t324)))))) % 0.55/0.86 (assume @p106 (forall (@list @t2 @t1 @t3 @t248 @t122 @t126 @t206) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t66 @t328 (tptp.hAPP @t332 @t331 @t330 @t248) @t185) @t206)) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t3 @t328 (tptp.hAPP @t1 @t329 @t248 @t122) @t126) @t206))))) % 0.55/0.86 (assume @p107 (forall (@list @t325 @t213 @t239 @t222 @t237 @t148) (=> @t241 (tptp.hBOOL (tptp.hAPP @t73 tptp.bool (tptp.hAPP @t72 @t111 @t110 (tptp.hAPP @t71 @t72 (tptp.hAPP @t71 @t109 @t108 (tptp.hAPP @t70 @t71 (tptp.hAPP @t20 @t102 @t101 @t334) @t239)) (tptp.hAPP @t70 @t71 (tptp.hAPP @t20 @t102 @t101 @t333) @t237))) @t218))))) % 0.55/0.86 (assume @p108 (forall (@list @t294 @t213 @t239 @t222 @t237 @t148) (=> @t241 (tptp.hBOOL (tptp.hAPP @t73 tptp.bool (tptp.hAPP @t72 @t111 @t110 (tptp.hAPP @t71 @t72 (tptp.hAPP @t71 @t109 @t108 (tptp.hAPP @t70 @t71 (tptp.hAPP @t20 @t102 @t101 @t336) @t239)) (tptp.hAPP @t70 @t71 (tptp.hAPP @t20 @t102 @t101 @t335) @t237))) @t218))))) % 0.55/0.86 (assume @p109 (forall (@list @t300 @t325 @t239 @t148) (tptp.hBOOL (tptp.hAPP @t73 tptp.bool (tptp.hAPP @t72 @t111 @t110 (tptp.hAPP @t71 @t72 (tptp.hAPP @t71 @t109 @t108 (tptp.hAPP @t70 @t71 (tptp.hAPP @t20 @t102 @t101 @t337) @t239)) (tptp.hAPP @t70 @t71 (tptp.hAPP @t20 @t102 @t101 @t325) @t239))) @t218)))) % 0.55/0.86 (assume @p110 (forall (@list @t294 @t142 @t310 @t239 @t148) (tptp.hBOOL (tptp.hAPP @t73 tptp.bool (tptp.hAPP @t72 @t111 @t110 (tptp.hAPP @t71 @t72 (tptp.hAPP @t71 @t109 @t108 (tptp.hAPP @t70 @t71 (tptp.hAPP @t20 @t102 @t101 @t338) @t239)) @t312)) @t218)))) % 0.55/0.86 (assume @p111 (forall (@list @t2 @t1 @t3 @t206 @t280 @t199) (=> (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t339 @t199)) (not (forall @t265 (=> @t317 (not (tptp.hBOOL (tptp.hAPP @t2 tptp.bool (tptp.hAPP @t3 @t328 (tptp.hAPP @t1 @t329 @t206 @t193) @t262) @t199))))))))) % 0.55/0.86 (assume @p112 (forall (@list @t1 @t3 @t2 @t199 @t206 @t280) (=> (tptp.hBOOL (tptp.hAPP @t96 tptp.bool @t323 (tptp.hAPP @t60 @t96 @t322 @t280))) (not (forall @t265 (=> (= (tptp.ti @t60 @t280) @t340) (not (tptp.hBOOL (tptp.hAPP @t96 tptp.bool @t323 (tptp.hAPP @t2 @t96 (tptp.hAPP @t3 @t321 @t206 @t193) @t262)))))))))) % 0.55/0.86 (assume @p113 (forall (@list @t2 @t3 @t1 @t206 @t115 @t280) (=> (forall @t188 (=> (= @t186 @t281) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t341 @t115)))) (tptp.hBOOL (tptp.hAPP @t2 tptp.bool @t339 @t115))))) % 0.55/0.86 (assume @p114 (forall (@list @t2 @t1 @t3 @t199 @t206 @t280) (=> (forall @t188 (=> @t315 (tptp.hBOOL (tptp.hAPP @t328 tptp.bool @t342 @t341)))) (tptp.hBOOL (tptp.hAPP @t328 tptp.bool @t342 @t339))))) % 0.55/0.86 (assume @p115 (forall (@list @t294 @t300 @t212 @t225 @t148) (tptp.hBOOL (tptp.hAPP @t73 tptp.bool (tptp.hAPP @t72 @t111 @t110 (tptp.hAPP @t71 @t72 (tptp.hAPP @t71 @t109 @t108 (tptp.hAPP @t70 @t71 (tptp.hAPP @t20 @t102 @t101 @t302) @t227)) (tptp.hAPP @t70 @t71 (tptp.hAPP @t20 @t102 @t101 (tptp.hAPP tptp.val @t20 @t256 tptp.unit)) @t309))) @t218)))) % 0.55/0.86 (assume @p116 (forall (@list @t3 @t2 @t1 @t113 @t282) (=> (forall @t265 (= (tptp.hAPP @t3 @t2 (tptp.hAPP @t1 @t8 @t113 @t193) @t262) (tptp.hAPP @t66 @t2 @t282 @t263))) (= (tptp.hAPP @t12 @t67 @t65 @t113) (tptp.ti @t67 @t282))))) % 0.55/0.86 (assume @p117 (forall (@list @t1 @t3 @t2 @t290 @t148 @t199) (=> (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t290 (tptp.hAPP @t60 @t1 (tptp.hAPP @t63 @t61 @t283 @t148) @t199))) (not (forall @t265 (=> (= (tptp.ti @t60 @t199) @t340) (not (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t290 (tptp.hAPP @t2 @t1 (tptp.hAPP @t3 @t62 @t148 @t193) @t262)))))))))) % 0.55/0.86 (assume @p118 (forall (@list @t1 @t176 @t346 @t345 @t177 @t343) (not (= @t347 @t344)))) % 0.55/0.86 (assume @p119 (forall (@list @t1 @t177 @t351 @t343 @t349 @t348) (not (= @t352 @t350)))) % 0.55/0.86 (assume @p120 (forall (@list @t1 @t354 @t353) (= (= (tptp.hAPP tptp.val @t38 @t44 @t354) (tptp.hAPP tptp.val @t38 @t44 @t353)) (= @t354 @t353)))) % 0.55/0.86 (assume @p121 (forall (@list @t1 @t358 @t356 @t357 @t355) (= (= (tptp.hAPP @t38 @t38 (tptp.hAPP @t38 @t39 @t43 @t358) @t356) (tptp.hAPP @t38 @t38 (tptp.hAPP @t38 @t39 @t43 @t357) @t355)) (and (= @t358 @t357) (= @t356 @t355))))) % 0.55/0.86 (assume @p122 (forall (@list @t1 @t122 @t360 @t182 @t359) (= (= (tptp.hAPP @t38 @t38 (tptp.hAPP @t1 @t39 @t42 @t122) @t360) (tptp.hAPP @t38 @t38 (tptp.hAPP @t1 @t39 @t42 @t182) @t359)) (and @t184 @t361)))) % 0.55/0.86 (assume @p123 (forall (@list @t1 @t3 @t113 @t282) (=> (forall @t362 (= @t194 (tptp.hAPP @t1 @t3 @t282 @t193))) (= @t114 (tptp.ti @t6 @t282))))) % 0.55/0.86 (assume @p124 (forall (@list @t1 @t115 @t363) (= (tptp.hBOOL (tptp.hAPP @t96 tptp.bool (tptp.hAPP @t1 @t97 @t95 @t115) @t363)) (tptp.hBOOL (tptp.hAPP @t1 tptp.bool @t363 @t115))))) % 0.55/0.86 (assume @p125 (forall (@list @t1 @t122 @t365 @t360 @t182 @t364 @t359) (= (= (tptp.hAPP @t38 @t38 (tptp.hAPP tptp.ty @t39 (tptp.hAPP @t1 @t40 @t37 @t122) @t365) @t360) (tptp.hAPP @t38 @t38 (tptp.hAPP tptp.ty @t39 (tptp.hAPP @t1 @t40 @t37 @t182) @t364) @t359)) (and @t184 (= @t365 @t364) @t361)))) % 0.55/0.86 (assume @p126 (forall (@list @t1 @t366 @t349 @t348) (not (= @t367 @t350)))) % 0.55/0.86 (assume @p127 (forall (@list @t1 @t366 @t176 @t345) (not (= @t367 @t368)))) % 0.55/0.86 (assume @p128 (forall (@list @t1 @t349 @t348 @t366) (not (= @t350 @t367)))) % 0.55/0.86 (assume @p129 (forall (@list @t1 @t176 @t345 @t366) (not (= @t368 @t367)))) % 0.55/0.86 (assume @p130 (forall (@list @t1 @t366 @t176 @t346 @t345) (not (= @t367 @t347)))) % 0.55/0.86 (assume @p131 (forall (@list @t1 @t176 @t346 @t345 @t366) (not (= @t347 @t367)))) % 0.55/0.86 (assume @p132 (forall (@list @t1 @t349 @t348 @t177 @t343) (not (= @t350 @t344)))) % 0.55/0.86 (assume @p133 (forall (@list @t1 @t177 @t343 @t349 @t348) (not (= @t344 @t350)))) % 0.55/0.86 (assume @p134 (forall (@list @t1 @t349 @t348 @t177 @t351 @t343) (not (= @t350 @t352)))) % 0.55/0.86 (assume @p135 (forall (@list @t1 @t177 @t343 @t176 @t346 @t345) (not (= @t344 @t347)))) % 0.55/0.86 (assume @p136 (forall (@list @t142 @t296 @t148 @t213 @t212 @t225 @t294 @t300 @t222 @t210 @t219) (=> (tptp.hBOOL (tptp.hAPP @t70 tptp.bool (tptp.hAPP @t20 @t74 (tptp.hAPP @t70 @t75 @t370 @t309) @t222) @t221)) (=> @t306 (tptp.hBOOL (tptp.hAPP @t70 tptp.bool (tptp.hAPP @t20 @t74 (tptp.hAPP @t70 @t75 (tptp.hAPP @t20 @t76 @t369 @t304) @t227) @t299) @t295)))))) % 0.55/0.86 (assume @p137 (forall (@list @t142 @t300 @t213 @t212 @t225 @t294 @t222 @t210 @t219 @t148) (=> (tptp.hBOOL (tptp.hAPP @t73 tptp.bool (tptp.hAPP @t72 @t111 @t110 (tptp.hAPP @t71 @t72 (tptp.hAPP @t71 @t109 @t108 (tptp.hAPP @t70 @t71 @t228 @t375)) @t224)) @t218)) (=> @t373 (=> @t372 (tptp.hBOOL (tptp.hAPP @t73 tptp.bool (tptp.hAPP @t72 @t111 @t110 (tptp.hAPP @t71 @t72 (tptp.hAPP @t71 @t109 @t108 (tptp.hAPP @t70 @t71 (tptp.hAPP @t20 @t102 @t101 @t319) @t227)) (tptp.hAPP @t70 @t71 (tptp.hAPP @t20 @t102 @t101 @t371) @t295))) @t218))))))) % 0.55/0.86 (assume @p138 (forall (@list @t325 @t148 @t213 @t239 @t222 @t237) (=> @t376 (tptp.hBOOL (tptp.hAPP @t70 tptp.bool (tptp.hAPP @t20 @t74 (tptp.hAPP @t70 @t75 (tptp.hAPP @t20 @t76 @t369 @t334) @t239) @t333) @t237))))) % 0.55/0.86 (assume @p139 (forall (@list @t294 @t148 @t213 @t239 @t222 @t237) (=> @t376 (tptp.hBOOL (tptp.hAPP @t70 tptp.bool (tptp.hAPP @t20 @t74 (tptp.hAPP @t70 @t75 (tptp.hAPP @t20 @t76 @t369 @t336) @t239) @t335) @t237))))) % 0.55/0.86 (assume @p140 (forall (@list @t142 @t148 @t213 @t212 @t225 @t294 @t222 @t210 @t219) (=> @t378 (=> (= @t305 @t374) (=> @t372 (tptp.hBOOL (tptp.hAPP @t70 tptp.bool (tptp.hAPP @t20 @t74 @t377 (tptp.hAPP @t20 @t20 @t298 @t222)) @t295))))))) % 0.55/0.86 (assume @p141 (forall (@list @t148 @t300 @t325 @t239) (tptp.hBOOL (tptp.hAPP @t70 tptp.bool (tptp.hAPP @t20 @t74 (tptp.hAPP @t70 @t75 (tptp.hAPP @t20 @t76 @t369 @t337) @t239) @t325) @t239)))) % 0.55/0.86 (assume @p142 (forall (@list @t1 @t3 @t131 @t133 @t115) (not (forall @t362 (= (tptp.hAPP @t1 @t51 (tptp.hAPP @t51 @t138 (tptp.hAPP @t1 @t139 (tptp.hAPP @t138 @t140 @t137 @t131) @t133) @t141) @t193) @t50))))) % 0.55/0.86 (assume @p143 (forall (@list @t148 @t294 @t142 @t310 @t239) (tptp.hBOOL (tptp.hAPP @t70 tptp.bool (tptp.hAPP @t20 @t74 (tptp.hAPP @t70 @t75 (tptp.hAPP @t20 @t76 @t369 @t338) @t239) @t311) @t239)))) % 0.55/0.86 (assume @p144 (forall (@list @t1 @t3 @t115 @t193) (= (tptp.hAPP @t1 @t51 (tptp.hAPP @t51 @t138 (tptp.hAPP @t1 @t139 (tptp.hAPP @t138 @t140 @t137 (tptp.hAPP @t51 @t138 (tptp.combk @t51 @t1) @t50)) @t115) @t50) @t193) @t50))) % 0.55/0.86 (assume @p145 (forall (@list @t142 @t300 @t148 @t213 @t212 @t225 @t294 @t222 @t210 @t219) (=> @t378 (=> @t373 (=> @t372 (tptp.hBOOL (tptp.hAPP @t70 tptp.bool (tptp.hAPP @t20 @t74 @t377 @t371) @t295))))))) % 0.55/0.86 (assume @p146 (forall (@list @t148 @t193 @t249 @t380 @t379) (= (tptp.hBOOL (tptp.hAPP @t70 tptp.bool (tptp.hAPP @t20 @t74 (tptp.hAPP @t70 @t75 (tptp.hAPP @t20 @t76 @t369 @t193) @t249) @t380) @t379)) (tptp.hBOOL (tptp.hAPP @t73 tptp.bool (tptp.hAPP @t72 @t111 @t110 (tptp.hAPP @t71 @t72 (tptp.hAPP @t71 @t109 @t108 (tptp.hAPP @t70 @t71 (tptp.hAPP @t20 @t102 @t101 @t193) @t249)) (tptp.hAPP @t70 @t71 (tptp.hAPP @t20 @t102 @t101 @t380) @t379))) @t218))))) % 0.55/0.86 (assume @p147 (forall (@list @t148 @t294 @t142 @t300 @t310 @t239) (tptp.hBOOL (tptp.hAPP @t70 tptp.bool (tptp.hAPP @t20 @t74 (tptp.hAPP @t70 @t75 (tptp.hAPP @t20 @t76 @t369 @t313) @t239) @t311) @t239)))) % 0.55/0.86 (assume @p148 (forall (@list @t382 @t381) (= (tptp.ti @t382 @t383) @t383))) % 0.55/0.86 (assume @p149 (forall @t387 (= (tptp.hAPP @t1 @t2 (tptp.hAPP @t6 @t5 (tptp.hAPP @t8 @t7 @t4 @t209) @t385) @t384) (tptp.hAPP @t3 @t2 @t209 @t386)))) % 0.55/0.86 (assume @p150 (forall @t387 (= (tptp.hAPP @t1 @t2 (tptp.hAPP @t3 @t5 (tptp.hAPP @t12 @t11 @t10 @t209) @t385) @t384) (tptp.hAPP @t3 @t2 @t388 @t385)))) % 0.55/0.86 (assume @p151 (forall (@list @t3 @t1 @t209 @t385) (= (tptp.hAPP @t3 @t1 (tptp.hAPP @t1 @t15 @t14 @t209) @t385) (tptp.ti @t1 @t209)))) % 0.55/0.86 (assume @p152 (forall @t387 (= (tptp.hAPP @t1 @t2 (tptp.hAPP @t6 @t5 (tptp.hAPP @t12 @t7 @t18 @t209) @t385) @t384) (tptp.hAPP @t3 @t2 @t388 @t386)))) % 0.55/0.86 (assume @p153 (forall (@list @t385 @t209) (or (not @t391) (not @t390) @t389))) % 0.55/0.86 (assume @p154 (forall @t393 (or @t392 @t391))) % 0.55/0.86 (assume @p155 (forall @t393 (or @t392 @t390))) % 0.55/0.86 (assume @p156 (not @t112)) % 0.55/0.86 (assume @p157 true) % 0.55/0.86 (step @p158 false :rule chain_m_resolution :premises (@p156 @p49) :args (false (@list false) (@list @t112))) % 0.55/0.86 ) % 0.55/0.86 % SZS output end Proof % 0.55/0.86 % cvc5 exiting %------------------------------------------------------------------------------