%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV109+1 : TPTP v9.2.1. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 09:00:32 AM UTC 2026 % Result : Theorem 0.37s 0.64s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV109+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:55:00 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.64 % SZS status Theorem % 0.37/0.64 % SZS output start Proof % 0.37/0.64 ( % 0.37/0.64 (declare-sort $$unsorted 0) % 0.37/0.64 (declare-const tptp.pv5 $$unsorted) % 0.37/0.64 (declare-const tptp.q_ds1_filter $$unsorted) % 0.37/0.64 (declare-const tptp.n6 $$unsorted) % 0.37/0.64 (declare-const tptp.id_ds1_filter $$unsorted) % 0.37/0.64 (declare-const tptp.def $$unsorted) % 0.37/0.64 (declare-const tptp.use $$unsorted) % 0.37/0.64 (declare-const tptp.true Bool) % 0.37/0.64 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.64 (declare-const tptp.pminus_ds1_filter $$unsorted) % 0.37/0.64 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.64 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.64 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.64 (declare-const tptp.n999 $$unsorted) % 0.37/0.64 (declare-const tptp.n3 $$unsorted) % 0.37/0.64 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.64 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.37/0.64 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.37/0.64 (declare-const tptp.n0 $$unsorted) % 0.37/0.64 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.64 (declare-const tptp.n1 $$unsorted) % 0.37/0.64 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.37/0.64 (declare-const tptp.n5 $$unsorted) % 0.37/0.64 (declare-const tptp.pv47 $$unsorted) % 0.37/0.64 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.64 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.64 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.64 (declare-const tptp.r_ds1_filter $$unsorted) % 0.37/0.64 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.64 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.64 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.64 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.37/0.64 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.64 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.37/0.64 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.64 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.64 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.64 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.64 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.64 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.37/0.64 (declare-const tptp.n4 $$unsorted) % 0.37/0.64 (declare-const tptp.n2 $$unsorted) % 0.37/0.64 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.64 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.64 (define @t3 () (= @t2 @t1)) % 0.37/0.64 (define @t4 () (tptp.gt @t1 @t2)) % 0.37/0.64 (define @t5 () (tptp.gt @t2 @t1)) % 0.37/0.64 (define @t6 () (@list @t2 @t1)) % 0.37/0.64 (define @t7 () (@var "Z" $$unsorted)) % 0.37/0.64 (define @t8 () (@list @t2 @t1 @t7)) % 0.37/0.64 (define @t9 () (@list @t2)) % 0.37/0.64 (define @t10 () (tptp.leq @t2 @t1)) % 0.37/0.64 (define @t11 () (tptp.succ @t2)) % 0.37/0.64 (define @t12 () (tptp.succ @t1)) % 0.37/0.64 (define @t13 () (@var "C" $$unsorted)) % 0.37/0.64 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.37/0.64 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.37/0.64 (define @t16 () (@list @t2 @t13)) % 0.37/0.64 (define @t17 () (@var "Val" $$unsorted)) % 0.37/0.64 (define @t18 () (@var "I" $$unsorted)) % 0.37/0.64 (define @t19 () (@var "U" $$unsorted)) % 0.37/0.64 (define @t20 () (@var "L" $$unsorted)) % 0.37/0.64 (define @t21 () (tptp.leq @t18 @t19)) % 0.37/0.64 (define @t22 () (@var "J" $$unsorted)) % 0.37/0.64 (define @t23 () (@var "U2" $$unsorted)) % 0.37/0.64 (define @t24 () (@var "L2" $$unsorted)) % 0.37/0.64 (define @t25 () (@var "U1" $$unsorted)) % 0.37/0.64 (define @t26 () (@var "L1" $$unsorted)) % 0.37/0.64 (define @t27 () (@var "A" $$unsorted)) % 0.37/0.64 (define @t28 () (tptp.trans @t27)) % 0.37/0.64 (define @t29 () (@var "N" $$unsorted)) % 0.37/0.64 (define @t30 () (tptp.leq @t22 @t29)) % 0.37/0.64 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.37/0.64 (define @t32 () (tptp.leq @t18 @t29)) % 0.37/0.64 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.37/0.64 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.37/0.64 (define @t35 () (@list @t18 @t22)) % 0.37/0.64 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.37/0.64 (define @t37 () (@list @t27 @t29)) % 0.37/0.64 (define @t38 () (tptp.inv @t27)) % 0.37/0.64 (define @t39 () (@var "VAL" $$unsorted)) % 0.37/0.64 (define @t40 () (@var "K" $$unsorted)) % 0.37/0.64 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.37/0.64 (define @t42 () (tptp.leq tptp.n0 @t40)) % 0.37/0.64 (define @t43 () (@var "B" $$unsorted)) % 0.37/0.64 (define @t44 () (tptp.tptp_madd @t27 @t43)) % 0.37/0.64 (define @t45 () (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))) % 0.37/0.64 (define @t46 () (forall @t35 (=> @t34 @t45))) % 0.37/0.64 (define @t47 () (and @t36 @t46)) % 0.37/0.64 (define @t48 () (@list @t27 @t43 @t29)) % 0.37/0.64 (define @t49 () (tptp.tptp_msub @t27 @t43)) % 0.37/0.64 (define @t50 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t43 @t28))) % 0.37/0.64 (define @t51 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t50 @t18 @t22) (tptp.a_select3 @t50 @t22 @t18))))) % 0.37/0.64 (define @t52 () (@var "M" $$unsorted)) % 0.37/0.64 (define @t53 () (and @t33 (tptp.leq @t18 @t52) @t31 (tptp.leq @t22 @t52))) % 0.37/0.64 (define @t54 () (@var "E" $$unsorted)) % 0.37/0.64 (define @t55 () (@var "F" $$unsorted)) % 0.37/0.64 (define @t56 () (@var "D" $$unsorted)) % 0.37/0.64 (define @t57 () (tptp.tptp_madd @t27 (tptp.tptp_mmul @t43 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t13 (tptp.tptp_mmul @t56 (tptp.trans @t13))) (tptp.tptp_mmul @t54 (tptp.tptp_mmul @t55 (tptp.trans @t54)))) (tptp.trans @t43))))) % 0.37/0.64 (define @t58 () (@var "Body" $$unsorted)) % 0.37/0.64 (define @t59 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t58)) % 0.37/0.64 (define @t60 () (@list @t58)) % 0.37/0.64 (define @t61 () (tptp.succ @t11)) % 0.37/0.64 (define @t62 () (tptp.succ @t61)) % 0.37/0.64 (define @t63 () (tptp.succ @t62)) % 0.37/0.64 (define @t64 () (tptp.succ @t63)) % 0.37/0.64 (define @t65 () (tptp.pred @t2)) % 0.37/0.64 (define @t66 () (@var "V" $$unsorted)) % 0.37/0.64 (define @t67 () (tptp.tptp_update3 @t2 @t19 @t66 @t39)) % 0.37/0.64 (define @t68 () (@var "VAL2" $$unsorted)) % 0.37/0.64 (define @t69 () (not (= @t18 @t19))) % 0.37/0.64 (define @t70 () (@var "J0" $$unsorted)) % 0.37/0.64 (define @t71 () (@var "I0" $$unsorted)) % 0.37/0.64 (define @t72 () (tptp.leq @t71 @t19)) % 0.37/0.64 (define @t73 () (tptp.leq tptp.n0 @t71)) % 0.37/0.64 (define @t74 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.37/0.64 (define @t75 () (@var "S" $$unsorted)) % 0.37/0.64 (define @t76 () (@var "T" $$unsorted)) % 0.37/0.64 (define @t77 () (= (tptp.a_select3 tptp.id_ds1_filter @t75 @t76) (tptp.a_select3 tptp.id_ds1_filter @t76 @t75))) % 0.37/0.64 (define @t78 () (tptp.minus tptp.n6 tptp.n1)) % 0.37/0.64 (define @t79 () (tptp.leq @t76 @t78)) % 0.37/0.64 (define @t80 () (tptp.leq tptp.n0 @t76)) % 0.37/0.64 (define @t81 () (and @t80 @t79)) % 0.37/0.64 (define @t82 () (@list @t76)) % 0.37/0.64 (define @t83 () (forall @t82 (=> @t81 @t77))) % 0.37/0.64 (define @t84 () (tptp.leq @t75 @t78)) % 0.37/0.64 (define @t85 () (tptp.leq tptp.n0 @t75)) % 0.37/0.64 (define @t86 () (and @t85 @t84)) % 0.37/0.64 (define @t87 () (=> @t86 @t83)) % 0.37/0.64 (define @t88 () (@list @t75)) % 0.37/0.64 (define @t89 () (forall @t88 @t87)) % 0.37/0.64 (define @t90 () (@var "Q" $$unsorted)) % 0.37/0.64 (define @t91 () (@var "R" $$unsorted)) % 0.37/0.64 (define @t92 () (= (tptp.a_select3 tptp.pminus_ds1_filter @t90 @t91) (tptp.a_select3 tptp.pminus_ds1_filter @t91 @t90))) % 0.37/0.64 (define @t93 () (tptp.leq @t91 @t78)) % 0.37/0.64 (define @t94 () (tptp.leq @t90 @t78)) % 0.37/0.64 (define @t95 () (tptp.leq tptp.n0 @t91)) % 0.37/0.64 (define @t96 () (tptp.leq tptp.n0 @t90)) % 0.37/0.64 (define @t97 () (and @t96 @t95 @t94 @t93)) % 0.37/0.64 (define @t98 () (@list @t90 @t91)) % 0.37/0.64 (define @t99 () (forall @t98 (=> @t97 @t92))) % 0.37/0.64 (define @t100 () (@var "O" $$unsorted)) % 0.37/0.64 (define @t101 () (@var "P" $$unsorted)) % 0.37/0.64 (define @t102 () (= (tptp.a_select3 tptp.pminus_ds1_filter @t100 @t101) (tptp.a_select3 tptp.pminus_ds1_filter @t101 @t100))) % 0.37/0.64 (define @t103 () (tptp.leq @t101 @t78)) % 0.37/0.64 (define @t104 () (tptp.leq @t100 @t78)) % 0.37/0.64 (define @t105 () (tptp.leq tptp.n0 @t101)) % 0.37/0.64 (define @t106 () (tptp.leq tptp.n0 @t100)) % 0.37/0.64 (define @t107 () (and @t106 @t105 @t104 @t103)) % 0.37/0.64 (define @t108 () (@list @t100 @t101)) % 0.37/0.64 (define @t109 () (forall @t108 (=> @t107 @t102))) % 0.37/0.64 (define @t110 () (tptp.a_select3 tptp.r_ds1_filter @t29 @t52)) % 0.37/0.64 (define @t111 () (tptp.a_select3 tptp.r_ds1_filter @t52 @t29)) % 0.37/0.64 (define @t112 () (= @t111 @t110)) % 0.37/0.64 (define @t113 () (tptp.minus tptp.n3 tptp.n1)) % 0.37/0.64 (define @t114 () (tptp.leq @t29 @t113)) % 0.37/0.64 (define @t115 () (tptp.leq @t52 @t113)) % 0.37/0.64 (define @t116 () (tptp.leq tptp.n0 @t29)) % 0.37/0.64 (define @t117 () (tptp.leq tptp.n0 @t52)) % 0.37/0.64 (define @t118 () (and @t117 @t116 @t115 @t114)) % 0.37/0.64 (define @t119 () (@list @t52 @t29)) % 0.37/0.64 (define @t120 () (forall @t119 (=> @t118 @t112))) % 0.37/0.64 (define @t121 () (tptp.a_select3 tptp.q_ds1_filter @t20 @t40)) % 0.37/0.64 (define @t122 () (tptp.a_select3 tptp.q_ds1_filter @t40 @t20)) % 0.37/0.64 (define @t123 () (= @t122 @t121)) % 0.37/0.64 (define @t124 () (tptp.leq @t20 @t78)) % 0.37/0.64 (define @t125 () (tptp.leq @t40 @t78)) % 0.37/0.64 (define @t126 () (tptp.leq tptp.n0 @t20)) % 0.37/0.64 (define @t127 () (and @t42 @t126 @t125 @t124)) % 0.37/0.64 (define @t128 () (@list @t40 @t20)) % 0.37/0.64 (define @t129 () (forall @t128 (=> @t127 @t123))) % 0.37/0.64 (define @t130 () (tptp.leq tptp.pv5 (tptp.minus tptp.n999 tptp.n1))) % 0.37/0.64 (define @t131 () (tptp.leq tptp.n0 tptp.pv5)) % 0.37/0.64 (define @t132 () (and @t131 @t130 @t129 @t120 @t109 @t99 @t89)) % 0.37/0.64 (define @t133 () (= (tptp.a_select3 tptp.id_ds1_filter @t18 @t22) (tptp.a_select3 tptp.id_ds1_filter @t22 @t18))) % 0.37/0.64 (define @t134 () (tptp.leq @t22 @t78)) % 0.37/0.64 (define @t135 () (and @t31 @t134)) % 0.37/0.64 (define @t136 () (@list @t22)) % 0.37/0.64 (define @t137 () (forall @t136 (=> @t135 @t133))) % 0.37/0.64 (define @t138 () (tptp.leq @t18 @t78)) % 0.37/0.64 (define @t139 () (and @t33 @t138)) % 0.37/0.64 (define @t140 () (=> @t139 @t137)) % 0.37/0.64 (define @t141 () (@list @t18)) % 0.37/0.64 (define @t142 () (forall @t141 @t140)) % 0.37/0.64 (define @t143 () (@var "G" $$unsorted)) % 0.37/0.64 (define @t144 () (@var "H" $$unsorted)) % 0.37/0.64 (define @t145 () (= (tptp.a_select3 tptp.pminus_ds1_filter @t143 @t144) (tptp.a_select3 tptp.pminus_ds1_filter @t144 @t143))) % 0.37/0.64 (define @t146 () (tptp.leq @t144 @t78)) % 0.37/0.64 (define @t147 () (tptp.leq @t143 @t78)) % 0.37/0.64 (define @t148 () (tptp.leq tptp.n0 @t144)) % 0.37/0.64 (define @t149 () (tptp.leq tptp.n0 @t143)) % 0.37/0.64 (define @t150 () (and @t149 @t148 @t147 @t146)) % 0.37/0.64 (define @t151 () (forall (@list @t143 @t144) (=> @t150 @t145))) % 0.37/0.64 (define @t152 () (= (tptp.a_select3 tptp.pminus_ds1_filter @t54 @t55) (tptp.a_select3 tptp.pminus_ds1_filter @t55 @t54))) % 0.37/0.64 (define @t153 () (tptp.leq @t55 @t78)) % 0.37/0.64 (define @t154 () (tptp.leq @t54 @t78)) % 0.37/0.64 (define @t155 () (tptp.leq tptp.n0 @t55)) % 0.37/0.64 (define @t156 () (tptp.leq tptp.n0 @t54)) % 0.37/0.64 (define @t157 () (and @t156 @t155 @t154 @t153)) % 0.37/0.64 (define @t158 () (@list @t54 @t55)) % 0.37/0.64 (define @t159 () (forall @t158 (=> @t157 @t152))) % 0.37/0.64 (define @t160 () (= (tptp.a_select3 tptp.r_ds1_filter @t13 @t56) (tptp.a_select3 tptp.r_ds1_filter @t56 @t13))) % 0.37/0.64 (define @t161 () (tptp.leq @t56 @t113)) % 0.37/0.64 (define @t162 () (tptp.leq @t13 @t113)) % 0.37/0.64 (define @t163 () (tptp.leq tptp.n0 @t56)) % 0.37/0.64 (define @t164 () (tptp.leq tptp.n0 @t13)) % 0.37/0.64 (define @t165 () (and @t164 @t163 @t162 @t161)) % 0.37/0.64 (define @t166 () (@list @t13 @t56)) % 0.37/0.64 (define @t167 () (forall @t166 (=> @t165 @t160))) % 0.37/0.64 (define @t168 () (= (tptp.a_select3 tptp.q_ds1_filter @t27 @t43) (tptp.a_select3 tptp.q_ds1_filter @t43 @t27))) % 0.37/0.64 (define @t169 () (tptp.leq @t43 @t78)) % 0.37/0.64 (define @t170 () (tptp.leq @t27 @t78)) % 0.37/0.64 (define @t171 () (tptp.leq tptp.n0 @t43)) % 0.37/0.64 (define @t172 () (tptp.leq tptp.n0 @t27)) % 0.37/0.64 (define @t173 () (and @t172 @t171 @t170 @t169)) % 0.37/0.64 (define @t174 () (@list @t27 @t43)) % 0.37/0.64 (define @t175 () (forall @t174 (=> @t173 @t168))) % 0.37/0.64 (define @t176 () (tptp.leq tptp.pv47 @t78)) % 0.37/0.64 (define @t177 () (tptp.leq tptp.n0 tptp.pv47)) % 0.37/0.64 (define @t178 () (and @t131 @t177 @t130 @t176 @t175 @t167 @t159 @t151 @t142)) % 0.37/0.64 (define @t179 () (=> @t178 @t132)) % 0.37/0.64 (define @t180 () (not @t179)) % 0.37/0.64 (define @t181 () (= @t2 tptp.n4)) % 0.37/0.64 (define @t182 () (= @t2 tptp.n3)) % 0.37/0.64 (define @t183 () (= @t2 tptp.n2)) % 0.37/0.64 (define @t184 () (= @t2 tptp.n1)) % 0.37/0.64 (define @t185 () (= @t2 tptp.n0)) % 0.37/0.64 (define @t186 () (= @t2 tptp.n5)) % 0.37/0.64 (define @t187 () (tptp.succ tptp.n0)) % 0.37/0.64 (define @t188 () (tptp.succ @t187)) % 0.37/0.64 (define @t189 () (tptp.succ @t188)) % 0.37/0.64 (define @t190 () (tptp.succ @t189)) % 0.37/0.64 (define @t191 () (tptp.succ @t190)) % 0.37/0.64 (define @t192 () (@var "BOUND_VARIABLE_8596" $$unsorted)) % 0.37/0.64 (define @t193 () (= (tptp.a_select3 tptp.id_ds1_filter @t75 @t192) (tptp.a_select3 tptp.id_ds1_filter @t192 @t75))) % 0.37/0.64 (define @t194 () (not (tptp.leq @t192 @t78))) % 0.37/0.64 (define @t195 () (not (tptp.leq tptp.n0 @t192))) % 0.37/0.64 (define @t196 () (not @t84)) % 0.37/0.64 (define @t197 () (not @t85)) % 0.37/0.64 (define @t198 () (or @t197 @t196 @t195 @t194 @t193)) % 0.37/0.64 (define @t199 () (or @t195 @t194 @t193)) % 0.37/0.64 (define @t200 () (or @t197 @t196 @t199)) % 0.37/0.64 (define @t201 () (@list @t75 @t192)) % 0.37/0.64 (define @t202 () (forall @t201 @t200)) % 0.37/0.64 (define @t203 () (@list @t192)) % 0.37/0.64 (define @t204 () (forall @t203 @t200)) % 0.37/0.64 (define @t205 () (forall @t203 @t199)) % 0.37/0.64 (define @t206 () (or @t197 @t196 @t205)) % 0.37/0.64 (define @t207 () (not @t79)) % 0.37/0.64 (define @t208 () (not @t80)) % 0.37/0.64 (define @t209 () (or @t208 @t207 @t77)) % 0.37/0.64 (define @t210 () (forall @t82 @t209)) % 0.37/0.64 (define @t211 () (or @t197 @t196 @t210)) % 0.37/0.64 (define @t212 () (not @t93)) % 0.37/0.64 (define @t213 () (not @t94)) % 0.37/0.64 (define @t214 () (not @t95)) % 0.37/0.64 (define @t215 () (not @t96)) % 0.37/0.64 (define @t216 () (or @t215 @t214 @t213 @t212 @t92)) % 0.37/0.64 (define @t217 () (or @t215 @t214 @t213 @t212)) % 0.37/0.64 (define @t218 () (not @t103)) % 0.37/0.64 (define @t219 () (not @t104)) % 0.37/0.64 (define @t220 () (not @t105)) % 0.37/0.64 (define @t221 () (not @t106)) % 0.37/0.64 (define @t222 () (or @t221 @t220 @t219 @t218 @t102)) % 0.37/0.64 (define @t223 () (or @t221 @t220 @t219 @t218)) % 0.37/0.64 (define @t224 () (not @t114)) % 0.37/0.64 (define @t225 () (not @t115)) % 0.37/0.64 (define @t226 () (not @t116)) % 0.37/0.64 (define @t227 () (not @t117)) % 0.37/0.64 (define @t228 () (or @t227 @t226 @t225 @t224 @t112)) % 0.37/0.64 (define @t229 () (or @t227 @t226 @t225 @t224)) % 0.37/0.64 (define @t230 () (not @t124)) % 0.37/0.64 (define @t231 () (not @t125)) % 0.37/0.64 (define @t232 () (not @t126)) % 0.37/0.64 (define @t233 () (not @t42)) % 0.37/0.64 (define @t234 () (or @t233 @t232 @t231 @t230 @t123)) % 0.37/0.64 (define @t235 () (or @t233 @t232 @t231 @t230)) % 0.37/0.64 (define @t236 () (@var "BOUND_VARIABLE_8535" $$unsorted)) % 0.37/0.64 (define @t237 () (= (tptp.a_select3 tptp.id_ds1_filter @t18 @t236) (tptp.a_select3 tptp.id_ds1_filter @t236 @t18))) % 0.37/0.64 (define @t238 () (not (tptp.leq @t236 @t78))) % 0.37/0.64 (define @t239 () (not (tptp.leq tptp.n0 @t236))) % 0.37/0.64 (define @t240 () (not @t138)) % 0.37/0.64 (define @t241 () (not @t33)) % 0.37/0.64 (define @t242 () (or @t241 @t240 @t239 @t238 @t237)) % 0.37/0.64 (define @t243 () (or @t239 @t238 @t237)) % 0.37/0.64 (define @t244 () (or @t241 @t240 @t243)) % 0.37/0.64 (define @t245 () (@list @t18 @t236)) % 0.37/0.64 (define @t246 () (forall @t245 @t244)) % 0.37/0.64 (define @t247 () (@list @t236)) % 0.37/0.64 (define @t248 () (forall @t247 @t244)) % 0.37/0.64 (define @t249 () (forall @t247 @t243)) % 0.37/0.64 (define @t250 () (or @t241 @t240 @t249)) % 0.37/0.64 (define @t251 () (not @t134)) % 0.37/0.64 (define @t252 () (not @t31)) % 0.37/0.64 (define @t253 () (or @t252 @t251 @t133)) % 0.37/0.64 (define @t254 () (forall @t136 @t253)) % 0.37/0.64 (define @t255 () (or @t241 @t240 @t254)) % 0.37/0.64 (define @t256 () (not @t146)) % 0.37/0.64 (define @t257 () (not @t147)) % 0.37/0.64 (define @t258 () (not @t148)) % 0.37/0.64 (define @t259 () (not @t149)) % 0.37/0.64 (define @t260 () (or @t259 @t258 @t257 @t256)) % 0.37/0.64 (define @t261 () (not @t153)) % 0.37/0.64 (define @t262 () (not @t154)) % 0.37/0.64 (define @t263 () (not @t155)) % 0.37/0.64 (define @t264 () (not @t156)) % 0.37/0.64 (define @t265 () (or @t264 @t263 @t262 @t261 @t152)) % 0.37/0.64 (define @t266 () (or @t264 @t263 @t262 @t261)) % 0.37/0.64 (define @t267 () (not @t161)) % 0.37/0.64 (define @t268 () (not @t162)) % 0.37/0.64 (define @t269 () (not @t163)) % 0.37/0.64 (define @t270 () (not @t164)) % 0.37/0.64 (define @t271 () (or @t270 @t269 @t268 @t267 @t160)) % 0.37/0.64 (define @t272 () (or @t270 @t269 @t268 @t267)) % 0.37/0.64 (define @t273 () (not @t169)) % 0.37/0.64 (define @t274 () (not @t170)) % 0.37/0.64 (define @t275 () (not @t171)) % 0.37/0.64 (define @t276 () (not @t172)) % 0.37/0.64 (define @t277 () (or @t276 @t275 @t274 @t273 @t168)) % 0.37/0.64 (define @t278 () (or @t276 @t275 @t274 @t273)) % 0.37/0.64 (define @t279 () (or @t232 @t233 @t230 @t231 @t123)) % 0.37/0.64 (define @t280 () (forall @t128 @t279)) % 0.37/0.64 (define @t281 () (forall @t128 @t234)) % 0.37/0.64 (define @t282 () (or @t232 @t233 @t230 @t231 (= @t121 @t122))) % 0.37/0.64 (define @t283 () (forall @t128 @t282)) % 0.37/0.64 (define @t284 () (forall @t174 @t277)) % 0.37/0.64 (define @t285 () (@list false)) % 0.37/0.64 (define @t286 () (or @t226 @t227 @t224 @t225 @t112)) % 0.37/0.64 (define @t287 () (forall @t119 @t286)) % 0.37/0.64 (define @t288 () (forall @t119 @t228)) % 0.37/0.64 (define @t289 () (or @t226 @t227 @t224 @t225 (= @t110 @t111))) % 0.37/0.64 (define @t290 () (forall @t119 @t289)) % 0.37/0.64 (define @t291 () (forall @t166 @t271)) % 0.37/0.64 (define @t292 () (forall @t158 @t265)) % 0.37/0.64 (define @t293 () (@list @t54 @t55)) % 0.37/0.64 (define @t294 () (not @t292)) % 0.37/0.64 (define @t295 () (forall @t108 @t222)) % 0.37/0.64 (define @t296 () (@list @t292)) % 0.37/0.64 (define @t297 () (forall @t98 @t216)) % 0.37/0.64 (define @t298 () (forall @t245 @t242)) % 0.37/0.64 (define @t299 () (forall @t201 @t198)) % 0.37/0.64 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.37/0.64 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.37/0.64 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.37/0.64 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.37/0.64 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.37/0.64 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.37/0.64 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.37/0.64 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.37/0.64 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.37/0.64 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.37/0.64 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.37/0.64 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.37/0.64 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.37/0.64 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.37/0.64 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.37/0.64 (assume @p16 (forall (@list @t18 @t20 @t19 @t17) (=> (and (tptp.leq @t20 @t18) @t21) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t20 @t19) @t17) @t18) @t17)))) % 0.37/0.64 (assume @p17 (forall (@list @t18 @t26 @t25 @t22 @t24 @t23 @t17) (=> (and (tptp.leq @t26 @t18) (tptp.leq @t18 @t25) (tptp.leq @t24 @t22) (tptp.leq @t22 @t23)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t26 @t25) (tptp.dim @t24 @t23) @t17) @t18 @t22) @t17)))) % 0.37/0.64 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.37/0.64 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.37/0.64 (assume @p20 (forall @t37 (=> @t36 (forall (@list @t18 @t22 @t40 @t39) (=> (and @t33 @t32 @t31 @t30 @t42 (tptp.leq @t40 @t29)) (= (tptp.a_select3 @t41 @t18 @t22) (tptp.a_select3 @t41 @t22 @t18))))))) % 0.37/0.64 (assume @p21 (forall @t48 (=> @t47 (forall @t35 (=> @t34 (= (tptp.a_select3 @t44 @t18 @t22) (tptp.a_select3 @t44 @t22 @t18))))))) % 0.37/0.64 (assume @p22 (forall @t48 (=> @t47 (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))))) % 0.37/0.64 (assume @p23 (forall @t48 (=> @t46 @t51))) % 0.37/0.64 (assume @p24 (forall (@list @t27 @t43 @t29 @t52) (=> (forall @t35 (=> @t53 @t45)) @t51))) % 0.37/0.64 (assume @p25 (forall (@list @t27 @t43 @t13 @t56 @t54 @t55 @t29 @t52) (=> (and (forall @t35 (=> @t53 (= (tptp.a_select3 @t56 @t18 @t22) (tptp.a_select3 @t56 @t22 @t18)))) @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t55 @t18 @t22) (tptp.a_select3 @t55 @t22 @t18))))) (forall @t35 (=> @t34 (= (tptp.a_select3 @t57 @t18 @t22) (tptp.a_select3 @t57 @t22 @t18))))))) % 0.37/0.64 (assume @p26 (forall @t60 (= @t59 tptp.n0))) % 0.37/0.64 (assume @p27 (forall @t60 (= tptp.tptp_float_0_0 @t59))) % 0.37/0.64 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.37/0.64 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.37/0.64 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t11))) % 0.37/0.64 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t61))) % 0.37/0.64 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t61))) % 0.37/0.64 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t62))) % 0.37/0.64 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t62))) % 0.37/0.64 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t63))) % 0.37/0.64 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t63))) % 0.37/0.64 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t64))) % 0.37/0.64 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t64))) % 0.37/0.64 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t65))) % 0.37/0.64 (assume @p40 (forall @t9 (= (tptp.pred @t11) @t2))) % 0.37/0.64 (assume @p41 (forall @t9 (= (tptp.succ @t65) @t2))) % 0.37/0.64 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.37/0.64 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.37/0.64 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.37/0.64 (assume @p45 (forall (@list @t2 @t19 @t66 @t39) (= (tptp.a_select3 @t67 @t19 @t66) @t39))) % 0.37/0.64 (assume @p46 (forall (@list @t18 @t22 @t19 @t66 @t2 @t39 @t68) (=> (and @t69 (= @t22 @t66) (= (tptp.a_select3 @t2 @t19 @t66) @t39)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t18 @t22 @t68) @t19 @t66) @t39)))) % 0.37/0.64 (assume @p47 (forall (@list @t18 @t22 @t19 @t66 @t2 @t39) (=> (and (forall (@list @t71 @t70) (=> (and @t73 (tptp.leq tptp.n0 @t70) @t72 (tptp.leq @t70 @t66)) (= (tptp.a_select3 @t2 @t71 @t70) @t39))) @t33 @t21 @t31 (tptp.leq @t22 @t66)) (= (tptp.a_select3 @t67 @t18 @t22) @t39)))) % 0.37/0.64 (assume @p48 (forall (@list @t2 @t19 @t39) (= (tptp.a_select2 @t74 @t19) @t39))) % 0.37/0.64 (assume @p49 (forall (@list @t18 @t19 @t2 @t39 @t68) (=> (and @t69 (= (tptp.a_select2 @t2 @t19) @t39)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t18 @t68) @t19) @t39)))) % 0.37/0.64 (assume @p50 (forall (@list @t18 @t19 @t2 @t39) (=> (and (forall (@list @t71) (=> (and @t73 @t72) (= (tptp.a_select2 @t2 @t71) @t39))) @t33 @t21) (= (tptp.a_select2 @t74 @t18) @t39)))) % 0.37/0.64 (assume @p51 tptp.true) % 0.37/0.64 (assume @p52 (not (= tptp.def tptp.use))) % 0.37/0.64 (assume @p53 @t180) % 0.37/0.64 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.37/0.64 (assume @p55 (tptp.gt tptp.n6 tptp.n4)) % 0.37/0.64 (assume @p56 (tptp.gt tptp.n999 tptp.n4)) % 0.37/0.64 (assume @p57 (tptp.gt tptp.n6 tptp.n5)) % 0.37/0.64 (assume @p58 (tptp.gt tptp.n999 tptp.n5)) % 0.37/0.64 (assume @p59 (tptp.gt tptp.n999 tptp.n6)) % 0.37/0.64 (assume @p60 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.37/0.64 (assume @p61 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.37/0.64 (assume @p62 (tptp.gt tptp.n6 tptp.tptp_minus_1)) % 0.37/0.64 (assume @p63 (tptp.gt tptp.n999 tptp.tptp_minus_1)) % 0.37/0.64 (assume @p64 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.37/0.64 (assume @p65 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.37/0.64 (assume @p66 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.37/0.64 (assume @p67 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.37/0.64 (assume @p68 (tptp.gt tptp.n4 tptp.n0)) % 0.37/0.64 (assume @p69 (tptp.gt tptp.n5 tptp.n0)) % 0.37/0.64 (assume @p70 (tptp.gt tptp.n6 tptp.n0)) % 0.37/0.64 (assume @p71 (tptp.gt tptp.n999 tptp.n0)) % 0.37/0.64 (assume @p72 (tptp.gt tptp.n1 tptp.n0)) % 0.37/0.64 (assume @p73 (tptp.gt tptp.n2 tptp.n0)) % 0.37/0.64 (assume @p74 (tptp.gt tptp.n3 tptp.n0)) % 0.37/0.64 (assume @p75 (tptp.gt tptp.n4 tptp.n1)) % 0.37/0.64 (assume @p76 (tptp.gt tptp.n5 tptp.n1)) % 0.37/0.64 (assume @p77 (tptp.gt tptp.n6 tptp.n1)) % 0.37/0.64 (assume @p78 (tptp.gt tptp.n999 tptp.n1)) % 0.37/0.64 (assume @p79 (tptp.gt tptp.n2 tptp.n1)) % 0.37/0.64 (assume @p80 (tptp.gt tptp.n3 tptp.n1)) % 0.37/0.64 (assume @p81 (tptp.gt tptp.n4 tptp.n2)) % 0.37/0.64 (assume @p82 (tptp.gt tptp.n5 tptp.n2)) % 0.37/0.64 (assume @p83 (tptp.gt tptp.n6 tptp.n2)) % 0.37/0.64 (assume @p84 (tptp.gt tptp.n999 tptp.n2)) % 0.37/0.64 (assume @p85 (tptp.gt tptp.n3 tptp.n2)) % 0.37/0.64 (assume @p86 (tptp.gt tptp.n4 tptp.n3)) % 0.37/0.64 (assume @p87 (tptp.gt tptp.n5 tptp.n3)) % 0.37/0.64 (assume @p88 (tptp.gt tptp.n6 tptp.n3)) % 0.37/0.64 (assume @p89 (tptp.gt tptp.n999 tptp.n3)) % 0.37/0.64 (assume @p90 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t185 @t184 @t183 @t182 @t181)))) % 0.37/0.64 (assume @p91 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t185 @t184 @t183 @t182 @t181 @t186)))) % 0.37/0.64 (assume @p92 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n6)) (or @t185 @t184 @t183 @t182 @t181 @t186 (= @t2 tptp.n6))))) % 0.37/0.64 (assume @p93 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t185))) % 0.37/0.64 (assume @p94 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t185 @t184)))) % 0.37/0.64 (assume @p95 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t185 @t184 @t183)))) % 0.37/0.64 (assume @p96 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t185 @t184 @t183 @t182)))) % 0.37/0.64 (assume @p97 (= @t190 tptp.n4)) % 0.37/0.64 (assume @p98 (= @t191 tptp.n5)) % 0.37/0.64 (assume @p99 (= (tptp.succ @t191) tptp.n6)) % 0.37/0.64 (assume @p100 (= @t187 tptp.n1)) % 0.37/0.64 (assume @p101 (= @t188 tptp.n2)) % 0.37/0.64 (assume @p102 (= @t189 tptp.n3)) % 0.37/0.64 (assume @p103 true) % 0.37/0.64 (step @p104 :rule aci_norm :args ((= @t200 @t198))) % 0.37/0.64 (step @p105 :rule cong :premises (@p104) :args (@t202)) % 0.37/0.64 (step @p106 :rule quant-merge-prenex :args ((= (forall @t88 @t204) @t202))) % 0.37/0.64 (step @p107 :rule alpha_equiv :args (@t205 (@list @t192) (@list @t76))) % 0.37/0.64 (step @p108 :rule refl :args (@t196)) % 0.37/0.64 (step @p109 :rule refl :args (@t197)) % 0.37/0.64 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107) :args (@t206)) % 0.37/0.64 (step @p111 :rule quant-miniscope-or :args ((= @t204 @t206))) % 0.37/0.64 (step @p112 :rule trans :premises (@p111 @p110)) % 0.37/0.64 (step @p113 :rule symm :premises (@p112)) % 0.37/0.64 (step @p114 :rule cong :premises (@p113) :args ((forall @t88 @t211))) % 0.37/0.64 (step @p115 :rule trans :premises (@p114 @p106)) % 0.37/0.64 (step @p116 :rule trans :premises (@p115 @p105)) % 0.37/0.64 (step @p117 :rule aci_norm :args ((= (or (or @t197 @t196) @t210) @t211))) % 0.37/0.64 (step @p118 :rule refl :args (@t210)) % 0.37/0.64 (step @p119 :rule bool-and-de-morgan :args (@t85 @t84 true)) % 0.37/0.64 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or (not @t86) @t210))) % 0.37/0.64 (step @p121 :rule trans :premises (@p120 @p117)) % 0.37/0.64 (step @p122 :rule bool-impl-elim :args (@t86 @t210)) % 0.37/0.64 (step @p123 :rule trans :premises (@p122 @p121)) % 0.37/0.64 (step @p124 :rule cong :premises (@p123) :args ((forall @t88 (=> @t86 @t210)))) % 0.37/0.64 (step @p125 :rule trans :premises (@p124 @p116)) % 0.37/0.64 (step @p126 :rule aci_norm :args ((= (or (or @t208 @t207) @t77) @t209))) % 0.37/0.64 (step @p127 :rule refl :args (@t77)) % 0.37/0.64 (step @p128 :rule bool-and-de-morgan :args (@t80 @t79 true)) % 0.37/0.64 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or (not @t81) @t77))) % 0.37/0.64 (step @p130 :rule trans :premises (@p129 @p126)) % 0.37/0.64 (step @p131 :rule bool-impl-elim :args (@t81 @t77)) % 0.37/0.64 (step @p132 :rule trans :premises (@p131 @p130)) % 0.37/0.64 (step @p133 :rule cong :premises (@p132) :args (@t83)) % 0.37/0.64 (step @p134 :rule refl :args (@t86)) % 0.37/0.64 (step @p135 :rule cong :premises (@p134 @p133) :args (@t87)) % 0.37/0.64 (step @p136 :rule cong :premises (@p135) :args (@t89)) % 0.37/0.64 (step @p137 :rule trans :premises (@p136 @p125)) % 0.37/0.64 (step @p138 :rule aci_norm :args ((= (or @t217 @t92) @t216))) % 0.37/0.64 (step @p139 :rule refl :args (@t92)) % 0.37/0.64 (step @p140 :rule aci_norm :args ((= (or @t215 (or @t214 (or @t213 @t212))) @t217))) % 0.37/0.64 (step @p141 :rule bool-and-de-morgan :args (@t94 @t93 true)) % 0.37/0.64 (step @p142 :rule refl :args (@t214)) % 0.37/0.64 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t214 (not (and @t94 @t93))))) % 0.37/0.64 (step @p144 :rule bool-and-de-morgan :args (@t95 @t94 (and @t93))) % 0.37/0.64 (step @p145 :rule trans :premises (@p144 @p143)) % 0.37/0.64 (step @p146 :rule refl :args (@t215)) % 0.37/0.64 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or @t215 (not (and @t95 @t94 @t93))))) % 0.37/0.64 (step @p148 :rule bool-and-de-morgan :args (@t96 @t95 (and @t94 @t93))) % 0.37/0.64 (step @p149 :rule trans :premises (@p148 @p147)) % 0.37/0.64 (step @p150 :rule trans :premises (@p149 @p140)) % 0.37/0.64 (step @p151 :rule nary_cong :premises (@p150 @p139) :args ((or (not @t97) @t92))) % 0.37/0.64 (step @p152 :rule trans :premises (@p151 @p138)) % 0.37/0.64 (step @p153 :rule bool-impl-elim :args (@t97 @t92)) % 0.37/0.64 (step @p154 :rule trans :premises (@p153 @p152)) % 0.37/0.64 (step @p155 :rule cong :premises (@p154) :args (@t99)) % 0.37/0.64 (step @p156 :rule aci_norm :args ((= (or @t223 @t102) @t222))) % 0.37/0.64 (step @p157 :rule refl :args (@t102)) % 0.37/0.64 (step @p158 :rule aci_norm :args ((= (or @t221 (or @t220 (or @t219 @t218))) @t223))) % 0.37/0.64 (step @p159 :rule bool-and-de-morgan :args (@t104 @t103 true)) % 0.37/0.64 (step @p160 :rule refl :args (@t220)) % 0.37/0.64 (step @p161 :rule nary_cong :premises (@p160 @p159) :args ((or @t220 (not (and @t104 @t103))))) % 0.37/0.64 (step @p162 :rule bool-and-de-morgan :args (@t105 @t104 (and @t103))) % 0.37/0.64 (step @p163 :rule trans :premises (@p162 @p161)) % 0.37/0.64 (step @p164 :rule refl :args (@t221)) % 0.37/0.64 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or @t221 (not (and @t105 @t104 @t103))))) % 0.37/0.64 (step @p166 :rule bool-and-de-morgan :args (@t106 @t105 (and @t104 @t103))) % 0.37/0.64 (step @p167 :rule trans :premises (@p166 @p165)) % 0.37/0.64 (step @p168 :rule trans :premises (@p167 @p158)) % 0.37/0.64 (step @p169 :rule nary_cong :premises (@p168 @p157) :args ((or (not @t107) @t102))) % 0.37/0.64 (step @p170 :rule trans :premises (@p169 @p156)) % 0.37/0.64 (step @p171 :rule bool-impl-elim :args (@t107 @t102)) % 0.37/0.64 (step @p172 :rule trans :premises (@p171 @p170)) % 0.37/0.64 (step @p173 :rule cong :premises (@p172) :args (@t109)) % 0.37/0.64 (step @p174 :rule aci_norm :args ((= (or @t229 @t112) @t228))) % 0.37/0.64 (step @p175 :rule refl :args (@t112)) % 0.37/0.64 (step @p176 :rule aci_norm :args ((= (or @t227 (or @t226 (or @t225 @t224))) @t229))) % 0.37/0.64 (step @p177 :rule bool-and-de-morgan :args (@t115 @t114 true)) % 0.37/0.64 (step @p178 :rule refl :args (@t226)) % 0.37/0.64 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((or @t226 (not (and @t115 @t114))))) % 0.37/0.64 (step @p180 :rule bool-and-de-morgan :args (@t116 @t115 (and @t114))) % 0.37/0.64 (step @p181 :rule trans :premises (@p180 @p179)) % 0.37/0.64 (step @p182 :rule refl :args (@t227)) % 0.37/0.64 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t227 (not (and @t116 @t115 @t114))))) % 0.37/0.64 (step @p184 :rule bool-and-de-morgan :args (@t117 @t116 (and @t115 @t114))) % 0.37/0.64 (step @p185 :rule trans :premises (@p184 @p183)) % 0.37/0.64 (step @p186 :rule trans :premises (@p185 @p176)) % 0.37/0.64 (step @p187 :rule nary_cong :premises (@p186 @p175) :args ((or (not @t118) @t112))) % 0.37/0.64 (step @p188 :rule trans :premises (@p187 @p174)) % 0.37/0.64 (step @p189 :rule bool-impl-elim :args (@t118 @t112)) % 0.37/0.64 (step @p190 :rule trans :premises (@p189 @p188)) % 0.37/0.64 (step @p191 :rule cong :premises (@p190) :args (@t120)) % 0.37/0.64 (step @p192 :rule aci_norm :args ((= (or @t235 @t123) @t234))) % 0.37/0.64 (step @p193 :rule refl :args (@t123)) % 0.37/0.64 (step @p194 :rule aci_norm :args ((= (or @t233 (or @t232 (or @t231 @t230))) @t235))) % 0.37/0.64 (step @p195 :rule bool-and-de-morgan :args (@t125 @t124 true)) % 0.37/0.64 (step @p196 :rule refl :args (@t232)) % 0.37/0.64 (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((or @t232 (not (and @t125 @t124))))) % 0.37/0.64 (step @p198 :rule bool-and-de-morgan :args (@t126 @t125 (and @t124))) % 0.37/0.64 (step @p199 :rule trans :premises (@p198 @p197)) % 0.37/0.64 (step @p200 :rule refl :args (@t233)) % 0.37/0.64 (step @p201 :rule nary_cong :premises (@p200 @p199) :args ((or @t233 (not (and @t126 @t125 @t124))))) % 0.37/0.64 (step @p202 :rule bool-and-de-morgan :args (@t42 @t126 (and @t125 @t124))) % 0.37/0.64 (step @p203 :rule trans :premises (@p202 @p201)) % 0.37/0.64 (step @p204 :rule trans :premises (@p203 @p194)) % 0.37/0.64 (step @p205 :rule nary_cong :premises (@p204 @p193) :args ((or (not @t127) @t123))) % 0.37/0.64 (step @p206 :rule trans :premises (@p205 @p192)) % 0.37/0.64 (step @p207 :rule bool-impl-elim :args (@t127 @t123)) % 0.37/0.64 (step @p208 :rule trans :premises (@p207 @p206)) % 0.37/0.64 (step @p209 :rule cong :premises (@p208) :args (@t129)) % 0.37/0.64 (step @p210 :rule refl :args (@t130)) % 0.37/0.64 (step @p211 :rule refl :args (@t131)) % 0.37/0.64 (step @p212 :rule nary_cong :premises (@p211 @p210 @p209 @p191 @p173 @p155 @p137) :args (@t132)) % 0.37/0.64 (step @p213 :rule aci_norm :args ((= @t244 @t242))) % 0.37/0.64 (step @p214 :rule cong :premises (@p213) :args (@t246)) % 0.37/0.64 (step @p215 :rule quant-merge-prenex :args ((= (forall @t141 @t248) @t246))) % 0.37/0.64 (step @p216 :rule alpha_equiv :args (@t249 (@list @t236) (@list @t22))) % 0.37/0.64 (step @p217 :rule refl :args (@t240)) % 0.37/0.64 (step @p218 :rule refl :args (@t241)) % 0.37/0.64 (step @p219 :rule nary_cong :premises (@p218 @p217 @p216) :args (@t250)) % 0.37/0.64 (step @p220 :rule quant-miniscope-or :args ((= @t248 @t250))) % 0.37/0.64 (step @p221 :rule trans :premises (@p220 @p219)) % 0.37/0.64 (step @p222 :rule symm :premises (@p221)) % 0.37/0.64 (step @p223 :rule cong :premises (@p222) :args ((forall @t141 @t255))) % 0.37/0.64 (step @p224 :rule trans :premises (@p223 @p215)) % 0.37/0.64 (step @p225 :rule trans :premises (@p224 @p214)) % 0.37/0.64 (step @p226 :rule aci_norm :args ((= (or (or @t241 @t240) @t254) @t255))) % 0.37/0.64 (step @p227 :rule refl :args (@t254)) % 0.37/0.64 (step @p228 :rule bool-and-de-morgan :args (@t33 @t138 true)) % 0.37/0.64 (step @p229 :rule nary_cong :premises (@p228 @p227) :args ((or (not @t139) @t254))) % 0.37/0.64 (step @p230 :rule trans :premises (@p229 @p226)) % 0.37/0.64 (step @p231 :rule bool-impl-elim :args (@t139 @t254)) % 0.37/0.64 (step @p232 :rule trans :premises (@p231 @p230)) % 0.37/0.64 (step @p233 :rule cong :premises (@p232) :args ((forall @t141 (=> @t139 @t254)))) % 0.37/0.64 (step @p234 :rule trans :premises (@p233 @p225)) % 0.37/0.64 (step @p235 :rule aci_norm :args ((= (or (or @t252 @t251) @t133) @t253))) % 0.37/0.64 (step @p236 :rule refl :args (@t133)) % 0.37/0.64 (step @p237 :rule bool-and-de-morgan :args (@t31 @t134 true)) % 0.37/0.64 (step @p238 :rule nary_cong :premises (@p237 @p236) :args ((or (not @t135) @t133))) % 0.37/0.64 (step @p239 :rule trans :premises (@p238 @p235)) % 0.37/0.64 (step @p240 :rule bool-impl-elim :args (@t135 @t133)) % 0.37/0.64 (step @p241 :rule trans :premises (@p240 @p239)) % 0.37/0.64 (step @p242 :rule cong :premises (@p241) :args (@t137)) % 0.37/0.64 (step @p243 :rule refl :args (@t139)) % 0.37/0.64 (step @p244 :rule cong :premises (@p243 @p242) :args (@t140)) % 0.37/0.64 (step @p245 :rule cong :premises (@p244) :args (@t142)) % 0.37/0.64 (step @p246 :rule trans :premises (@p245 @p234)) % 0.37/0.64 (step @p247 :rule aci_norm :args ((= (or @t260 @t145) (or @t259 @t258 @t257 @t256 @t145)))) % 0.37/0.64 (step @p248 :rule refl :args (@t145)) % 0.37/0.64 (step @p249 :rule aci_norm :args ((= (or @t259 (or @t258 (or @t257 @t256))) @t260))) % 0.37/0.64 (step @p250 :rule bool-and-de-morgan :args (@t147 @t146 true)) % 0.37/0.64 (step @p251 :rule refl :args (@t258)) % 0.37/0.64 (step @p252 :rule nary_cong :premises (@p251 @p250) :args ((or @t258 (not (and @t147 @t146))))) % 0.37/0.64 (step @p253 :rule bool-and-de-morgan :args (@t148 @t147 (and @t146))) % 0.37/0.64 (step @p254 :rule trans :premises (@p253 @p252)) % 0.37/0.64 (step @p255 :rule refl :args (@t259)) % 0.37/0.64 (step @p256 :rule nary_cong :premises (@p255 @p254) :args ((or @t259 (not (and @t148 @t147 @t146))))) % 0.37/0.64 (step @p257 :rule bool-and-de-morgan :args (@t149 @t148 (and @t147 @t146))) % 0.37/0.64 (step @p258 :rule trans :premises (@p257 @p256)) % 0.37/0.64 (step @p259 :rule trans :premises (@p258 @p249)) % 0.37/0.64 (step @p260 :rule nary_cong :premises (@p259 @p248) :args ((or (not @t150) @t145))) % 0.37/0.64 (step @p261 :rule trans :premises (@p260 @p247)) % 0.37/0.64 (step @p262 :rule bool-impl-elim :args (@t150 @t145)) % 0.37/0.64 (step @p263 :rule trans :premises (@p262 @p261)) % 0.37/0.64 (step @p264 :rule cong :premises (@p263) :args (@t151)) % 0.37/0.64 (step @p265 :rule aci_norm :args ((= (or @t266 @t152) @t265))) % 0.37/0.64 (step @p266 :rule refl :args (@t152)) % 0.37/0.64 (step @p267 :rule aci_norm :args ((= (or @t264 (or @t263 (or @t262 @t261))) @t266))) % 0.37/0.64 (step @p268 :rule bool-and-de-morgan :args (@t154 @t153 true)) % 0.37/0.64 (step @p269 :rule refl :args (@t263)) % 0.37/0.64 (step @p270 :rule nary_cong :premises (@p269 @p268) :args ((or @t263 (not (and @t154 @t153))))) % 0.37/0.64 (step @p271 :rule bool-and-de-morgan :args (@t155 @t154 (and @t153))) % 0.37/0.64 (step @p272 :rule trans :premises (@p271 @p270)) % 0.37/0.64 (step @p273 :rule refl :args (@t264)) % 0.37/0.64 (step @p274 :rule nary_cong :premises (@p273 @p272) :args ((or @t264 (not (and @t155 @t154 @t153))))) % 0.37/0.64 (step @p275 :rule bool-and-de-morgan :args (@t156 @t155 (and @t154 @t153))) % 0.37/0.64 (step @p276 :rule trans :premises (@p275 @p274)) % 0.37/0.64 (step @p277 :rule trans :premises (@p276 @p267)) % 0.37/0.64 (step @p278 :rule nary_cong :premises (@p277 @p266) :args ((or (not @t157) @t152))) % 0.37/0.64 (step @p279 :rule trans :premises (@p278 @p265)) % 0.37/0.64 (step @p280 :rule bool-impl-elim :args (@t157 @t152)) % 0.37/0.64 (step @p281 :rule trans :premises (@p280 @p279)) % 0.37/0.64 (step @p282 :rule cong :premises (@p281) :args (@t159)) % 0.37/0.64 (step @p283 :rule aci_norm :args ((= (or @t272 @t160) @t271))) % 0.37/0.64 (step @p284 :rule refl :args (@t160)) % 0.37/0.64 (step @p285 :rule aci_norm :args ((= (or @t270 (or @t269 (or @t268 @t267))) @t272))) % 0.37/0.64 (step @p286 :rule bool-and-de-morgan :args (@t162 @t161 true)) % 0.37/0.64 (step @p287 :rule refl :args (@t269)) % 0.37/0.64 (step @p288 :rule nary_cong :premises (@p287 @p286) :args ((or @t269 (not (and @t162 @t161))))) % 0.37/0.64 (step @p289 :rule bool-and-de-morgan :args (@t163 @t162 (and @t161))) % 0.37/0.64 (step @p290 :rule trans :premises (@p289 @p288)) % 0.37/0.64 (step @p291 :rule refl :args (@t270)) % 0.37/0.64 (step @p292 :rule nary_cong :premises (@p291 @p290) :args ((or @t270 (not (and @t163 @t162 @t161))))) % 0.37/0.64 (step @p293 :rule bool-and-de-morgan :args (@t164 @t163 (and @t162 @t161))) % 0.37/0.64 (step @p294 :rule trans :premises (@p293 @p292)) % 0.37/0.64 (step @p295 :rule trans :premises (@p294 @p285)) % 0.37/0.64 (step @p296 :rule nary_cong :premises (@p295 @p284) :args ((or (not @t165) @t160))) % 0.37/0.64 (step @p297 :rule trans :premises (@p296 @p283)) % 0.37/0.64 (step @p298 :rule bool-impl-elim :args (@t165 @t160)) % 0.37/0.64 (step @p299 :rule trans :premises (@p298 @p297)) % 0.37/0.64 (step @p300 :rule cong :premises (@p299) :args (@t167)) % 0.37/0.64 (step @p301 :rule aci_norm :args ((= (or @t278 @t168) @t277))) % 0.37/0.64 (step @p302 :rule refl :args (@t168)) % 0.37/0.64 (step @p303 :rule aci_norm :args ((= (or @t276 (or @t275 (or @t274 @t273))) @t278))) % 0.37/0.64 (step @p304 :rule bool-and-de-morgan :args (@t170 @t169 true)) % 0.37/0.64 (step @p305 :rule refl :args (@t275)) % 0.37/0.64 (step @p306 :rule nary_cong :premises (@p305 @p304) :args ((or @t275 (not (and @t170 @t169))))) % 0.37/0.64 (step @p307 :rule bool-and-de-morgan :args (@t171 @t170 (and @t169))) % 0.37/0.64 (step @p308 :rule trans :premises (@p307 @p306)) % 0.37/0.64 (step @p309 :rule refl :args (@t276)) % 0.37/0.64 (step @p310 :rule nary_cong :premises (@p309 @p308) :args ((or @t276 (not (and @t171 @t170 @t169))))) % 0.37/0.64 (step @p311 :rule bool-and-de-morgan :args (@t172 @t171 (and @t170 @t169))) % 0.37/0.64 (step @p312 :rule trans :premises (@p311 @p310)) % 0.37/0.64 (step @p313 :rule trans :premises (@p312 @p303)) % 0.37/0.64 (step @p314 :rule nary_cong :premises (@p313 @p302) :args ((or (not @t173) @t168))) % 0.37/0.64 (step @p315 :rule trans :premises (@p314 @p301)) % 0.37/0.64 (step @p316 :rule bool-impl-elim :args (@t173 @t168)) % 0.37/0.64 (step @p317 :rule trans :premises (@p316 @p315)) % 0.37/0.64 (step @p318 :rule cong :premises (@p317) :args (@t175)) % 0.37/0.64 (step @p319 :rule refl :args (@t176)) % 0.37/0.64 (step @p320 :rule refl :args (@t177)) % 0.37/0.64 (step @p321 :rule nary_cong :premises (@p211 @p320 @p210 @p319 @p318 @p300 @p282 @p264 @p246) :args (@t178)) % 0.37/0.64 (step @p322 :rule cong :premises (@p321 @p212) :args (@t179)) % 0.37/0.64 (step @p323 :rule cong :premises (@p322) :args (@t180)) % 0.37/0.64 (step @p324 :rule eq_resolve :premises (@p53 @p323)) % 0.37/0.64 (step @p325 :rule not_implies_elim1 :premises (@p324)) % 0.37/0.64 (step @p326 :rule and_elim :premises (@p325) :args (0)) % 0.37/0.64 (step @p327 :rule and_elim :premises (@p325) :args (2)) % 0.37/0.64 (step @p328 :rule and_elim :premises (@p325) :args (4)) % 0.37/0.64 (step @p329 :rule aci_norm :args ((= @t279 @t234))) % 0.37/0.64 (step @p330 :rule cong :premises (@p329) :args (@t280)) % 0.37/0.64 (step @p331 :rule true_intro :premises (@p330)) % 0.37/0.64 (step @p332 :rule eq-symm :args (@t281 @t280)) % 0.37/0.64 (step @p333 :rule trans :premises (@p332 @p331)) % 0.37/0.64 (step @p334 :rule eq-symm :args (@t121 @t122)) % 0.37/0.64 (step @p335 :rule refl :args (@t231)) % 0.37/0.64 (step @p336 :rule refl :args (@t230)) % 0.37/0.64 (step @p337 :rule refl :args (@t233)) % 0.37/0.64 (step @p338 :rule refl :args (@t232)) % 0.37/0.64 (step @p339 :rule nary_cong :premises (@p338 @p337 @p336 @p335 @p334) :args (@t282)) % 0.37/0.64 (step @p340 :rule cong :premises (@p339) :args (@t283)) % 0.37/0.64 (step @p341 :rule refl :args (@t281)) % 0.37/0.64 (step @p342 :rule cong :premises (@p341 @p340) :args ((= @t281 @t283))) % 0.37/0.64 (step @p343 :rule eq-symm :args (@t283 @t281)) % 0.37/0.64 (step @p344 :rule trans :premises (@p343 @p342)) % 0.37/0.64 (step @p345 :rule trans :premises (@p344 @p333)) % 0.37/0.64 (step @p346 :rule true_elim :premises (@p345)) % 0.37/0.64 (step @p347 :rule quant_var_reordering :args ((= (forall (@list @t20 @t40) @t282) @t283))) % 0.37/0.64 (step @p348 :rule alpha_equiv :args (@t284 (@list @t27 @t43) (@list @t20 @t40))) % 0.37/0.64 (step @p349 :rule trans :premises (@p348 @p347 @p346)) % 0.37/0.64 (step @p350 :rule equiv_elim1 :premises (@p349)) % 0.37/0.64 (step @p351 :rule reordering :premises (@p350) :args ((or @t281 (not @t284)))) % 0.37/0.64 (step @p352 :rule chain_m_resolution :premises (@p351 @p328) :args (@t281 @t285 (@list @t284))) % 0.37/0.64 (step @p353 :rule and_elim :premises (@p325) :args (5)) % 0.37/0.64 (step @p354 :rule aci_norm :args ((= @t286 @t228))) % 0.37/0.64 (step @p355 :rule cong :premises (@p354) :args (@t287)) % 0.37/0.64 (step @p356 :rule true_intro :premises (@p355)) % 0.37/0.64 (step @p357 :rule eq-symm :args (@t288 @t287)) % 0.37/0.64 (step @p358 :rule trans :premises (@p357 @p356)) % 0.37/0.64 (step @p359 :rule eq-symm :args (@t110 @t111)) % 0.37/0.64 (step @p360 :rule refl :args (@t225)) % 0.37/0.64 (step @p361 :rule refl :args (@t224)) % 0.37/0.64 (step @p362 :rule refl :args (@t227)) % 0.37/0.64 (step @p363 :rule refl :args (@t226)) % 0.37/0.64 (step @p364 :rule nary_cong :premises (@p363 @p362 @p361 @p360 @p359) :args (@t289)) % 0.37/0.64 (step @p365 :rule cong :premises (@p364) :args (@t290)) % 0.37/0.64 (step @p366 :rule refl :args (@t288)) % 0.37/0.64 (step @p367 :rule cong :premises (@p366 @p365) :args ((= @t288 @t290))) % 0.37/0.64 (step @p368 :rule eq-symm :args (@t290 @t288)) % 0.37/0.64 (step @p369 :rule trans :premises (@p368 @p367)) % 0.37/0.64 (step @p370 :rule trans :premises (@p369 @p358)) % 0.37/0.64 (step @p371 :rule true_elim :premises (@p370)) % 0.37/0.64 (step @p372 :rule quant_var_reordering :args ((= (forall (@list @t29 @t52) @t289) @t290))) % 0.37/0.64 (step @p373 :rule alpha_equiv :args (@t291 (@list @t13 @t56) (@list @t29 @t52))) % 0.37/0.64 (step @p374 :rule trans :premises (@p373 @p372 @p371)) % 0.37/0.64 (step @p375 :rule equiv_elim1 :premises (@p374)) % 0.37/0.64 (step @p376 :rule reordering :premises (@p375) :args ((or @t288 (not @t291)))) % 0.37/0.64 (step @p377 :rule chain_m_resolution :premises (@p376 @p353) :args (@t288 @t285 (@list @t291))) % 0.37/0.64 (step @p378 :rule and_elim :premises (@p325) :args (6)) % 0.37/0.64 (step @p379 :rule alpha_equiv :args (@t292 @t293 (@list @t100 @t101))) % 0.37/0.64 (step @p380 :rule equiv_elim1 :premises (@p379)) % 0.37/0.64 (step @p381 :rule reordering :premises (@p380) :args ((or @t295 @t294))) % 0.37/0.64 (step @p382 :rule chain_m_resolution :premises (@p381 @p378) :args (@t295 @t285 @t296)) % 0.37/0.64 (step @p383 :rule alpha_equiv :args (@t292 @t293 (@list @t90 @t91))) % 0.37/0.64 (step @p384 :rule equiv_elim1 :premises (@p383)) % 0.37/0.64 (step @p385 :rule reordering :premises (@p384) :args ((or @t297 @t294))) % 0.37/0.64 (step @p386 :rule chain_m_resolution :premises (@p385 @p378) :args (@t297 @t285 @t296)) % 0.37/0.64 (step @p387 :rule and_elim :premises (@p325) :args (8)) % 0.37/0.64 (step @p388 :rule alpha_equiv :args (@t298 (@list @t18 @t236) (@list @t75 @t192))) % 0.37/0.64 (step @p389 :rule equiv_elim1 :premises (@p388)) % 0.37/0.64 (step @p390 :rule reordering :premises (@p389) :args ((or @t299 (not @t298)))) % 0.37/0.64 (step @p391 :rule chain_m_resolution :premises (@p390 @p387) :args (@t299 @t285 (@list @t298))) % 0.37/0.64 (step @p392 :rule not_implies_elim2 :premises (@p324)) % 0.37/0.64 (step @p393 :rule not_and :premises (@p392)) % 0.37/0.64 (step @p394 false :rule chain_m_resolution :premises (@p393 @p391 @p386 @p382 @p377 @p352 @p327 @p326) :args (false (@list false false false false false false false) (@list @t299 @t297 @t295 @t288 @t281 @t130 @t131))) % 0.37/0.64 ) % 0.37/0.64 % SZS output end Proof % 0.37/0.64 % cvc5 exiting %------------------------------------------------------------------------------