%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV112+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 : n025.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 0.70s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV112+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 : n025.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 19:55:16 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.70 % SZS status Theorem % 0.37/0.70 % SZS output start Proof % 0.37/0.70 ( % 0.37/0.70 (declare-sort $$unsorted 0) % 0.37/0.70 (declare-const tptp.pv5 $$unsorted) % 0.37/0.70 (declare-const tptp.q_ds1_filter $$unsorted) % 0.37/0.70 (declare-const tptp.n6 $$unsorted) % 0.37/0.70 (declare-const tptp.id_ds1_filter $$unsorted) % 0.37/0.70 (declare-const tptp.def $$unsorted) % 0.37/0.70 (declare-const tptp.use $$unsorted) % 0.37/0.70 (declare-const tptp.true Bool) % 0.37/0.70 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.pminus_ds1_filter $$unsorted) % 0.37/0.70 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.n999 $$unsorted) % 0.37/0.70 (declare-const tptp.n3 $$unsorted) % 0.37/0.70 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.37/0.70 (declare-const tptp.n0 $$unsorted) % 0.37/0.70 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.n1 $$unsorted) % 0.37/0.70 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.n5 $$unsorted) % 0.37/0.70 (declare-const tptp.pv57 $$unsorted) % 0.37/0.70 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.r_ds1_filter $$unsorted) % 0.37/0.70 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.70 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.70 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.37/0.70 (declare-const tptp.n4 $$unsorted) % 0.37/0.70 (declare-const tptp.n2 $$unsorted) % 0.37/0.70 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.70 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.70 (define @t3 () (= @t2 @t1)) % 0.37/0.70 (define @t4 () (tptp.gt @t1 @t2)) % 0.37/0.70 (define @t5 () (tptp.gt @t2 @t1)) % 0.37/0.70 (define @t6 () (@list @t2 @t1)) % 0.37/0.70 (define @t7 () (@var "Z" $$unsorted)) % 0.37/0.70 (define @t8 () (@list @t2 @t1 @t7)) % 0.37/0.70 (define @t9 () (@list @t2)) % 0.37/0.70 (define @t10 () (tptp.leq @t2 @t1)) % 0.37/0.70 (define @t11 () (forall @t6 (=> @t4 @t10))) % 0.37/0.70 (define @t12 () (tptp.leq @t2 (tptp.pred @t1))) % 0.37/0.70 (define @t13 () (forall @t6 (= @t12 @t4))) % 0.37/0.70 (define @t14 () (tptp.succ @t2)) % 0.37/0.70 (define @t15 () (tptp.succ @t1)) % 0.37/0.70 (define @t16 () (@var "C" $$unsorted)) % 0.37/0.70 (define @t17 () (tptp.uniform_int_rnd @t16 @t2)) % 0.37/0.70 (define @t18 () (tptp.leq tptp.n0 @t2)) % 0.37/0.70 (define @t19 () (@list @t2 @t16)) % 0.37/0.70 (define @t20 () (@var "Val" $$unsorted)) % 0.37/0.70 (define @t21 () (@var "I" $$unsorted)) % 0.37/0.70 (define @t22 () (@var "U" $$unsorted)) % 0.37/0.70 (define @t23 () (@var "L" $$unsorted)) % 0.37/0.70 (define @t24 () (tptp.leq @t21 @t22)) % 0.37/0.70 (define @t25 () (@var "J" $$unsorted)) % 0.37/0.70 (define @t26 () (@var "U2" $$unsorted)) % 0.37/0.70 (define @t27 () (@var "L2" $$unsorted)) % 0.37/0.70 (define @t28 () (@var "U1" $$unsorted)) % 0.37/0.70 (define @t29 () (@var "L1" $$unsorted)) % 0.37/0.70 (define @t30 () (@var "A" $$unsorted)) % 0.37/0.70 (define @t31 () (tptp.trans @t30)) % 0.37/0.70 (define @t32 () (@var "N" $$unsorted)) % 0.37/0.70 (define @t33 () (tptp.leq @t25 @t32)) % 0.37/0.70 (define @t34 () (tptp.leq tptp.n0 @t25)) % 0.37/0.70 (define @t35 () (tptp.leq @t21 @t32)) % 0.37/0.70 (define @t36 () (tptp.leq tptp.n0 @t21)) % 0.37/0.70 (define @t37 () (and @t36 @t35 @t34 @t33)) % 0.37/0.70 (define @t38 () (@list @t21 @t25)) % 0.37/0.70 (define @t39 () (forall @t38 (=> @t37 (= (tptp.a_select3 @t30 @t21 @t25) (tptp.a_select3 @t30 @t25 @t21))))) % 0.37/0.70 (define @t40 () (@list @t30 @t32)) % 0.37/0.70 (define @t41 () (tptp.inv @t30)) % 0.37/0.70 (define @t42 () (@var "VAL" $$unsorted)) % 0.37/0.70 (define @t43 () (@var "K" $$unsorted)) % 0.37/0.70 (define @t44 () (tptp.tptp_update3 @t30 @t43 @t43 @t42)) % 0.37/0.70 (define @t45 () (tptp.leq tptp.n0 @t43)) % 0.37/0.70 (define @t46 () (@var "B" $$unsorted)) % 0.37/0.70 (define @t47 () (tptp.tptp_madd @t30 @t46)) % 0.37/0.70 (define @t48 () (= (tptp.a_select3 @t46 @t21 @t25) (tptp.a_select3 @t46 @t25 @t21))) % 0.37/0.70 (define @t49 () (forall @t38 (=> @t37 @t48))) % 0.37/0.70 (define @t50 () (and @t39 @t49)) % 0.37/0.70 (define @t51 () (@list @t30 @t46 @t32)) % 0.37/0.70 (define @t52 () (tptp.tptp_msub @t30 @t46)) % 0.37/0.70 (define @t53 () (tptp.tptp_mmul @t30 (tptp.tptp_mmul @t46 @t31))) % 0.37/0.70 (define @t54 () (forall @t38 (=> @t37 (= (tptp.a_select3 @t53 @t21 @t25) (tptp.a_select3 @t53 @t25 @t21))))) % 0.37/0.70 (define @t55 () (@var "M" $$unsorted)) % 0.37/0.70 (define @t56 () (and @t36 (tptp.leq @t21 @t55) @t34 (tptp.leq @t25 @t55))) % 0.37/0.70 (define @t57 () (@var "E" $$unsorted)) % 0.37/0.70 (define @t58 () (@var "F" $$unsorted)) % 0.37/0.70 (define @t59 () (@var "D" $$unsorted)) % 0.37/0.70 (define @t60 () (tptp.tptp_madd @t30 (tptp.tptp_mmul @t46 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t16 (tptp.tptp_mmul @t59 (tptp.trans @t16))) (tptp.tptp_mmul @t57 (tptp.tptp_mmul @t58 (tptp.trans @t57)))) (tptp.trans @t46))))) % 0.37/0.70 (define @t61 () (@var "Body" $$unsorted)) % 0.37/0.70 (define @t62 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t61)) % 0.37/0.70 (define @t63 () (@list @t61)) % 0.37/0.70 (define @t64 () (tptp.plus tptp.n1 @t2)) % 0.37/0.70 (define @t65 () (forall @t9 (= @t64 @t14))) % 0.37/0.70 (define @t66 () (tptp.succ @t14)) % 0.37/0.70 (define @t67 () (tptp.succ @t66)) % 0.37/0.70 (define @t68 () (tptp.succ @t67)) % 0.37/0.70 (define @t69 () (tptp.succ @t68)) % 0.37/0.70 (define @t70 () (tptp.pred @t2)) % 0.37/0.70 (define @t71 () (tptp.pred @t14)) % 0.37/0.70 (define @t72 () (forall @t9 (= @t71 @t2))) % 0.37/0.70 (define @t73 () (@var "V" $$unsorted)) % 0.37/0.70 (define @t74 () (tptp.tptp_update3 @t2 @t22 @t73 @t42)) % 0.37/0.70 (define @t75 () (@var "VAL2" $$unsorted)) % 0.37/0.70 (define @t76 () (not (= @t21 @t22))) % 0.37/0.70 (define @t77 () (@var "J0" $$unsorted)) % 0.37/0.70 (define @t78 () (@var "I0" $$unsorted)) % 0.37/0.70 (define @t79 () (tptp.leq @t78 @t22)) % 0.37/0.70 (define @t80 () (tptp.leq tptp.n0 @t78)) % 0.37/0.70 (define @t81 () (tptp.tptp_update2 @t2 @t22 @t42)) % 0.37/0.70 (define @t82 () (@var "Q" $$unsorted)) % 0.37/0.70 (define @t83 () (@var "R" $$unsorted)) % 0.37/0.70 (define @t84 () (= (tptp.a_select3 tptp.id_ds1_filter @t82 @t83) (tptp.a_select3 tptp.id_ds1_filter @t83 @t82))) % 0.37/0.70 (define @t85 () (tptp.minus tptp.n6 tptp.n1)) % 0.37/0.70 (define @t86 () (tptp.leq @t83 @t85)) % 0.37/0.70 (define @t87 () (tptp.leq tptp.n0 @t83)) % 0.37/0.70 (define @t88 () (and @t87 @t86)) % 0.37/0.70 (define @t89 () (@list @t83)) % 0.37/0.70 (define @t90 () (forall @t89 (=> @t88 @t84))) % 0.37/0.70 (define @t91 () (tptp.plus tptp.n1 tptp.pv57)) % 0.37/0.70 (define @t92 () (tptp.minus @t91 tptp.n1)) % 0.37/0.70 (define @t93 () (tptp.leq @t82 @t92)) % 0.37/0.70 (define @t94 () (tptp.leq tptp.n0 @t82)) % 0.37/0.70 (define @t95 () (and @t94 @t93)) % 0.37/0.70 (define @t96 () (=> @t95 @t90)) % 0.37/0.70 (define @t97 () (@list @t82)) % 0.37/0.70 (define @t98 () (forall @t97 @t96)) % 0.37/0.70 (define @t99 () (@var "O" $$unsorted)) % 0.37/0.70 (define @t100 () (@var "P" $$unsorted)) % 0.37/0.70 (define @t101 () (= (tptp.a_select3 tptp.pminus_ds1_filter @t99 @t100) (tptp.a_select3 tptp.pminus_ds1_filter @t100 @t99))) % 0.37/0.70 (define @t102 () (tptp.leq @t100 @t85)) % 0.37/0.70 (define @t103 () (tptp.leq @t99 @t85)) % 0.37/0.70 (define @t104 () (tptp.leq tptp.n0 @t100)) % 0.37/0.70 (define @t105 () (tptp.leq tptp.n0 @t99)) % 0.37/0.70 (define @t106 () (and @t105 @t104 @t103 @t102)) % 0.37/0.70 (define @t107 () (@list @t99 @t100)) % 0.37/0.70 (define @t108 () (forall @t107 (=> @t106 @t101))) % 0.37/0.70 (define @t109 () (tptp.a_select3 tptp.r_ds1_filter @t32 @t55)) % 0.37/0.70 (define @t110 () (tptp.a_select3 tptp.r_ds1_filter @t55 @t32)) % 0.37/0.70 (define @t111 () (= @t110 @t109)) % 0.37/0.70 (define @t112 () (tptp.minus tptp.n3 tptp.n1)) % 0.37/0.70 (define @t113 () (tptp.leq @t32 @t112)) % 0.37/0.70 (define @t114 () (tptp.leq @t55 @t112)) % 0.37/0.70 (define @t115 () (tptp.leq tptp.n0 @t32)) % 0.37/0.70 (define @t116 () (tptp.leq tptp.n0 @t55)) % 0.37/0.70 (define @t117 () (and @t116 @t115 @t114 @t113)) % 0.37/0.70 (define @t118 () (@list @t55 @t32)) % 0.37/0.70 (define @t119 () (forall @t118 (=> @t117 @t111))) % 0.37/0.70 (define @t120 () (tptp.a_select3 tptp.q_ds1_filter @t23 @t43)) % 0.37/0.70 (define @t121 () (tptp.a_select3 tptp.q_ds1_filter @t43 @t23)) % 0.37/0.70 (define @t122 () (= @t121 @t120)) % 0.37/0.70 (define @t123 () (tptp.leq @t23 @t85)) % 0.37/0.70 (define @t124 () (tptp.leq @t43 @t85)) % 0.37/0.70 (define @t125 () (tptp.leq tptp.n0 @t23)) % 0.37/0.70 (define @t126 () (and @t45 @t125 @t124 @t123)) % 0.37/0.70 (define @t127 () (@list @t43 @t23)) % 0.37/0.70 (define @t128 () (forall @t127 (=> @t126 @t122))) % 0.37/0.70 (define @t129 () (tptp.leq tptp.pv5 (tptp.minus tptp.n999 tptp.n1))) % 0.37/0.70 (define @t130 () (tptp.leq tptp.n0 tptp.pv5)) % 0.37/0.70 (define @t131 () (and @t130 @t129 @t128 @t119 @t108 @t98)) % 0.37/0.70 (define @t132 () (= (tptp.a_select3 tptp.id_ds1_filter @t21 @t25) (tptp.a_select3 tptp.id_ds1_filter @t25 @t21))) % 0.37/0.70 (define @t133 () (tptp.leq @t25 @t85)) % 0.37/0.70 (define @t134 () (and @t34 @t133)) % 0.37/0.70 (define @t135 () (@list @t25)) % 0.37/0.70 (define @t136 () (forall @t135 (=> @t134 @t132))) % 0.37/0.70 (define @t137 () (tptp.leq @t21 (tptp.minus tptp.pv57 tptp.n1))) % 0.37/0.70 (define @t138 () (and @t36 @t137)) % 0.37/0.70 (define @t139 () (=> @t138 @t136)) % 0.37/0.70 (define @t140 () (@list @t21)) % 0.37/0.70 (define @t141 () (forall @t140 @t139)) % 0.37/0.70 (define @t142 () (@var "G" $$unsorted)) % 0.37/0.70 (define @t143 () (@var "H" $$unsorted)) % 0.37/0.70 (define @t144 () (= (tptp.a_select3 tptp.id_ds1_filter @t142 @t143) (tptp.a_select3 tptp.id_ds1_filter @t143 @t142))) % 0.37/0.70 (define @t145 () (tptp.leq @t143 @t85)) % 0.37/0.70 (define @t146 () (tptp.leq @t142 tptp.pv57)) % 0.37/0.70 (define @t147 () (tptp.leq tptp.n0 @t143)) % 0.37/0.70 (define @t148 () (tptp.leq tptp.n0 @t142)) % 0.37/0.70 (define @t149 () (and @t148 @t147 @t146 @t145)) % 0.37/0.70 (define @t150 () (forall (@list @t142 @t143) (=> @t149 @t144))) % 0.37/0.70 (define @t151 () (= (tptp.a_select3 tptp.pminus_ds1_filter @t57 @t58) (tptp.a_select3 tptp.pminus_ds1_filter @t58 @t57))) % 0.37/0.70 (define @t152 () (tptp.leq @t58 @t85)) % 0.37/0.70 (define @t153 () (tptp.leq @t57 @t85)) % 0.37/0.70 (define @t154 () (tptp.leq tptp.n0 @t58)) % 0.37/0.70 (define @t155 () (tptp.leq tptp.n0 @t57)) % 0.37/0.70 (define @t156 () (and @t155 @t154 @t153 @t152)) % 0.37/0.70 (define @t157 () (@list @t57 @t58)) % 0.37/0.70 (define @t158 () (forall @t157 (=> @t156 @t151))) % 0.37/0.70 (define @t159 () (= (tptp.a_select3 tptp.r_ds1_filter @t16 @t59) (tptp.a_select3 tptp.r_ds1_filter @t59 @t16))) % 0.37/0.70 (define @t160 () (tptp.leq @t59 @t112)) % 0.37/0.70 (define @t161 () (tptp.leq @t16 @t112)) % 0.37/0.70 (define @t162 () (tptp.leq tptp.n0 @t59)) % 0.37/0.70 (define @t163 () (tptp.leq tptp.n0 @t16)) % 0.37/0.70 (define @t164 () (and @t163 @t162 @t161 @t160)) % 0.37/0.70 (define @t165 () (@list @t16 @t59)) % 0.37/0.70 (define @t166 () (forall @t165 (=> @t164 @t159))) % 0.37/0.70 (define @t167 () (= (tptp.a_select3 tptp.q_ds1_filter @t30 @t46) (tptp.a_select3 tptp.q_ds1_filter @t46 @t30))) % 0.37/0.70 (define @t168 () (tptp.leq @t46 @t85)) % 0.37/0.70 (define @t169 () (tptp.leq @t30 @t85)) % 0.37/0.70 (define @t170 () (tptp.leq tptp.n0 @t46)) % 0.37/0.70 (define @t171 () (tptp.leq tptp.n0 @t30)) % 0.37/0.70 (define @t172 () (and @t171 @t170 @t169 @t168)) % 0.37/0.70 (define @t173 () (@list @t30 @t46)) % 0.37/0.70 (define @t174 () (forall @t173 (=> @t172 @t167))) % 0.37/0.70 (define @t175 () (tptp.leq tptp.pv57 @t85)) % 0.37/0.70 (define @t176 () (tptp.leq tptp.n0 tptp.pv57)) % 0.37/0.70 (define @t177 () (and @t130 @t176 @t129 @t175 @t174 @t166 @t158 @t150 @t141)) % 0.37/0.70 (define @t178 () (=> @t177 @t131)) % 0.37/0.70 (define @t179 () (not @t178)) % 0.37/0.70 (define @t180 () (tptp.gt tptp.n3 tptp.n0)) % 0.37/0.70 (define @t181 () (tptp.gt tptp.n3 tptp.n1)) % 0.37/0.70 (define @t182 () (tptp.gt tptp.n3 tptp.n2)) % 0.37/0.70 (define @t183 () (tptp.gt tptp.n4 tptp.n3)) % 0.37/0.70 (define @t184 () (= @t2 tptp.n4)) % 0.37/0.70 (define @t185 () (= @t2 tptp.n3)) % 0.37/0.70 (define @t186 () (= @t2 tptp.n2)) % 0.37/0.70 (define @t187 () (= @t2 tptp.n1)) % 0.37/0.70 (define @t188 () (= @t2 tptp.n0)) % 0.37/0.70 (define @t189 () (= @t2 tptp.n5)) % 0.37/0.70 (define @t190 () (or @t188 @t187 @t186 @t185 @t184 @t189)) % 0.37/0.70 (define @t191 () (tptp.leq @t2 tptp.n5)) % 0.37/0.70 (define @t192 () (and @t18 @t191)) % 0.37/0.70 (define @t193 () (forall @t9 (=> @t192 @t190))) % 0.37/0.70 (define @t194 () (or @t188 @t187 @t186 @t185)) % 0.37/0.70 (define @t195 () (tptp.leq @t2 tptp.n3)) % 0.37/0.70 (define @t196 () (and @t18 @t195)) % 0.37/0.70 (define @t197 () (forall @t9 (=> @t196 @t194))) % 0.37/0.70 (define @t198 () (tptp.succ tptp.n0)) % 0.37/0.70 (define @t199 () (tptp.succ @t198)) % 0.37/0.70 (define @t200 () (tptp.succ @t199)) % 0.37/0.70 (define @t201 () (tptp.succ @t200)) % 0.37/0.70 (define @t202 () (tptp.succ @t201)) % 0.37/0.70 (define @t203 () (tptp.succ @t202)) % 0.37/0.70 (define @t204 () (@var "BOUND_VARIABLE_8578" $$unsorted)) % 0.37/0.70 (define @t205 () (= (tptp.a_select3 tptp.id_ds1_filter @t82 @t204) (tptp.a_select3 tptp.id_ds1_filter @t204 @t82))) % 0.37/0.70 (define @t206 () (not (tptp.leq @t204 @t85))) % 0.37/0.70 (define @t207 () (not (tptp.leq tptp.n0 @t204))) % 0.37/0.70 (define @t208 () (not @t93)) % 0.37/0.70 (define @t209 () (not @t94)) % 0.37/0.70 (define @t210 () (or @t209 @t208 @t207 @t206 @t205)) % 0.37/0.70 (define @t211 () (or @t207 @t206 @t205)) % 0.37/0.70 (define @t212 () (or @t209 @t208 @t211)) % 0.37/0.70 (define @t213 () (@list @t82 @t204)) % 0.37/0.70 (define @t214 () (forall @t213 @t212)) % 0.37/0.70 (define @t215 () (@list @t204)) % 0.37/0.70 (define @t216 () (forall @t215 @t212)) % 0.37/0.70 (define @t217 () (forall @t215 @t211)) % 0.37/0.70 (define @t218 () (or @t209 @t208 @t217)) % 0.37/0.70 (define @t219 () (not @t86)) % 0.37/0.70 (define @t220 () (not @t87)) % 0.37/0.70 (define @t221 () (or @t220 @t219 @t84)) % 0.37/0.70 (define @t222 () (forall @t89 @t221)) % 0.37/0.70 (define @t223 () (or @t209 @t208 @t222)) % 0.37/0.70 (define @t224 () (not @t102)) % 0.37/0.70 (define @t225 () (not @t103)) % 0.37/0.70 (define @t226 () (not @t104)) % 0.37/0.70 (define @t227 () (not @t105)) % 0.37/0.70 (define @t228 () (or @t227 @t226 @t225 @t224 @t101)) % 0.37/0.70 (define @t229 () (or @t227 @t226 @t225 @t224)) % 0.37/0.70 (define @t230 () (not @t113)) % 0.37/0.70 (define @t231 () (not @t114)) % 0.37/0.70 (define @t232 () (not @t115)) % 0.37/0.70 (define @t233 () (not @t116)) % 0.37/0.70 (define @t234 () (or @t233 @t232 @t231 @t230 @t111)) % 0.37/0.70 (define @t235 () (or @t233 @t232 @t231 @t230)) % 0.37/0.70 (define @t236 () (not @t123)) % 0.37/0.70 (define @t237 () (not @t124)) % 0.37/0.70 (define @t238 () (not @t125)) % 0.37/0.70 (define @t239 () (not @t45)) % 0.37/0.70 (define @t240 () (or @t239 @t238 @t237 @t236 @t122)) % 0.37/0.70 (define @t241 () (or @t239 @t238 @t237 @t236)) % 0.37/0.70 (define @t242 () (@var "BOUND_VARIABLE_8525" $$unsorted)) % 0.37/0.70 (define @t243 () (= (tptp.a_select3 tptp.id_ds1_filter @t21 @t242) (tptp.a_select3 tptp.id_ds1_filter @t242 @t21))) % 0.37/0.70 (define @t244 () (not (tptp.leq @t242 @t85))) % 0.37/0.70 (define @t245 () (not (tptp.leq tptp.n0 @t242))) % 0.37/0.70 (define @t246 () (not @t137)) % 0.37/0.70 (define @t247 () (not @t36)) % 0.37/0.70 (define @t248 () (or @t245 @t244 @t243)) % 0.37/0.70 (define @t249 () (or @t247 @t246 @t248)) % 0.37/0.70 (define @t250 () (forall (@list @t21 @t242) @t249)) % 0.37/0.70 (define @t251 () (@list @t242)) % 0.37/0.70 (define @t252 () (forall @t251 @t249)) % 0.37/0.70 (define @t253 () (forall @t251 @t248)) % 0.37/0.70 (define @t254 () (or @t247 @t246 @t253)) % 0.37/0.70 (define @t255 () (not @t133)) % 0.37/0.70 (define @t256 () (not @t34)) % 0.37/0.70 (define @t257 () (or @t256 @t255 @t132)) % 0.37/0.70 (define @t258 () (forall @t135 @t257)) % 0.37/0.70 (define @t259 () (or @t247 @t246 @t258)) % 0.37/0.70 (define @t260 () (not @t145)) % 0.37/0.70 (define @t261 () (not @t146)) % 0.37/0.70 (define @t262 () (not @t147)) % 0.37/0.70 (define @t263 () (not @t148)) % 0.37/0.70 (define @t264 () (or @t263 @t262 @t261 @t260)) % 0.37/0.70 (define @t265 () (not @t152)) % 0.37/0.70 (define @t266 () (not @t153)) % 0.37/0.70 (define @t267 () (not @t154)) % 0.37/0.70 (define @t268 () (not @t155)) % 0.37/0.70 (define @t269 () (or @t268 @t267 @t266 @t265 @t151)) % 0.37/0.70 (define @t270 () (or @t268 @t267 @t266 @t265)) % 0.37/0.70 (define @t271 () (not @t160)) % 0.37/0.70 (define @t272 () (not @t161)) % 0.37/0.70 (define @t273 () (not @t162)) % 0.37/0.70 (define @t274 () (not @t163)) % 0.37/0.70 (define @t275 () (or @t274 @t273 @t272 @t271 @t159)) % 0.37/0.70 (define @t276 () (or @t274 @t273 @t272 @t271)) % 0.37/0.70 (define @t277 () (not @t168)) % 0.37/0.70 (define @t278 () (not @t169)) % 0.37/0.70 (define @t279 () (not @t170)) % 0.37/0.70 (define @t280 () (not @t171)) % 0.37/0.70 (define @t281 () (or @t280 @t279 @t278 @t277 @t167)) % 0.37/0.70 (define @t282 () (or @t280 @t279 @t278 @t277)) % 0.37/0.70 (define @t283 () (forall @t157 @t269)) % 0.37/0.70 (define @t284 () (forall @t107 @t228)) % 0.37/0.70 (define @t285 () (@list false)) % 0.37/0.70 (define @t286 () (or @t232 @t233 @t230 @t231 @t111)) % 0.37/0.70 (define @t287 () (forall @t118 @t286)) % 0.37/0.70 (define @t288 () (forall @t118 @t234)) % 0.37/0.70 (define @t289 () (or @t232 @t233 @t230 @t231 (= @t109 @t110))) % 0.37/0.70 (define @t290 () (forall @t118 @t289)) % 0.37/0.70 (define @t291 () (forall @t165 @t275)) % 0.37/0.70 (define @t292 () (or @t238 @t239 @t236 @t237 @t122)) % 0.37/0.70 (define @t293 () (forall @t127 @t292)) % 0.37/0.70 (define @t294 () (forall @t127 @t240)) % 0.37/0.70 (define @t295 () (or @t238 @t239 @t236 @t237 (= @t120 @t121))) % 0.37/0.70 (define @t296 () (forall @t127 @t295)) % 0.37/0.70 (define @t297 () (forall @t173 @t281)) % 0.37/0.70 (define @t298 () (forall @t213 @t210)) % 0.37/0.70 (define @t299 () (@quantifiers_skolemize @t298 0)) % 0.37/0.70 (define @t300 () (tptp.leq @t299 @t92)) % 0.37/0.70 (define @t301 () (@quantifiers_skolemize @t298 1)) % 0.37/0.70 (define @t302 () (= (tptp.a_select3 tptp.id_ds1_filter @t299 @t301) (tptp.a_select3 tptp.id_ds1_filter @t301 @t299))) % 0.37/0.70 (define @t303 () (tptp.leq @t301 @t85)) % 0.37/0.70 (define @t304 () (not @t303)) % 0.37/0.70 (define @t305 () (tptp.leq tptp.n0 @t301)) % 0.37/0.70 (define @t306 () (not @t305)) % 0.37/0.70 (define @t307 () (not @t300)) % 0.37/0.70 (define @t308 () (tptp.leq tptp.n0 @t299)) % 0.37/0.70 (define @t309 () (not @t308)) % 0.37/0.70 (define @t310 () (or @t309 @t307 @t306 @t304 @t302)) % 0.37/0.70 (define @t311 () (@list true)) % 0.37/0.70 (define @t312 () (@list @t310)) % 0.37/0.70 (define @t313 () (tptp.succ tptp.pv57)) % 0.37/0.70 (define @t314 () (forall @t9 (= @t14 @t64))) % 0.37/0.70 (define @t315 () (= @t313 @t91)) % 0.37/0.70 (define @t316 () (@list tptp.pv57)) % 0.37/0.70 (define @t317 () (= @t91 @t313)) % 0.37/0.70 (define @t318 () (tptp.leq @t299 tptp.pv57)) % 0.37/0.70 (define @t319 () (not @t318)) % 0.37/0.70 (define @t320 () (or @t309 @t306 @t319 @t304 @t302)) % 0.37/0.70 (define @t321 () (not @t195)) % 0.37/0.70 (define @t322 () (not @t18)) % 0.37/0.70 (define @t323 () (or @t322 @t321 @t188 @t187 @t186 @t185)) % 0.37/0.70 (define @t324 () (tptp.leq tptp.pv57 tptp.n3)) % 0.37/0.70 (define @t325 () (not @t324)) % 0.37/0.70 (define @t326 () (not @t176)) % 0.37/0.70 (define @t327 () (= tptp.pv57 tptp.n3)) % 0.37/0.70 (define @t328 () (= tptp.pv57 tptp.n2)) % 0.37/0.70 (define @t329 () (= tptp.pv57 tptp.n1)) % 0.37/0.70 (define @t330 () (= tptp.pv57 tptp.n0)) % 0.37/0.70 (define @t331 () (or @t326 @t325 @t330 @t329 @t328 @t327)) % 0.37/0.70 (define @t332 () (forall @t9 @t323)) % 0.37/0.70 (define @t333 () (= tptp.n3 tptp.pv57)) % 0.37/0.70 (define @t334 () (= tptp.n2 tptp.pv57)) % 0.37/0.70 (define @t335 () (= tptp.n1 tptp.pv57)) % 0.37/0.70 (define @t336 () (= tptp.n0 tptp.pv57)) % 0.37/0.70 (define @t337 () (or @t326 @t325 @t336 @t335 @t334 @t333)) % 0.37/0.70 (define @t338 () (tptp.leq tptp.n0 tptp.n3)) % 0.37/0.70 (define @t339 () (not @t180)) % 0.37/0.70 (define @t340 () (or @t339 @t338)) % 0.37/0.70 (define @t341 () (@list false false)) % 0.37/0.70 (define @t342 () (not @t336)) % 0.37/0.70 (define @t343 () (not @t338)) % 0.37/0.70 (define @t344 () (not @t325)) % 0.37/0.70 (define @t345 () (= false true)) % 0.37/0.70 (define @t346 () (tptp.leq tptp.n1 tptp.n3)) % 0.37/0.70 (define @t347 () (not @t181)) % 0.37/0.70 (define @t348 () (or @t347 @t346)) % 0.37/0.70 (define @t349 () (not @t335)) % 0.37/0.70 (define @t350 () (not @t346)) % 0.37/0.70 (define @t351 () (tptp.leq tptp.n2 tptp.n3)) % 0.37/0.70 (define @t352 () (not @t182)) % 0.37/0.70 (define @t353 () (or @t352 @t351)) % 0.37/0.70 (define @t354 () (not @t334)) % 0.37/0.70 (define @t355 () (not @t351)) % 0.37/0.70 (define @t356 () (tptp.pred tptp.n4)) % 0.37/0.70 (define @t357 () (tptp.leq tptp.n3 @t356)) % 0.37/0.70 (define @t358 () (= @t183 @t357)) % 0.37/0.70 (define @t359 () (not @t333)) % 0.37/0.70 (define @t360 () (tptp.pred @t201)) % 0.37/0.70 (define @t361 () (= @t200 @t360)) % 0.37/0.70 (define @t362 () (not @t361)) % 0.37/0.70 (define @t363 () (not @t357)) % 0.37/0.70 (define @t364 () (= tptp.n3 @t200)) % 0.37/0.70 (define @t365 () (not @t364)) % 0.37/0.70 (define @t366 () (= tptp.n4 @t201)) % 0.37/0.70 (define @t367 () (not @t366)) % 0.37/0.70 (define @t368 () (and @t357 @t366 @t361 @t333 @t364 @t325)) % 0.37/0.70 (define @t369 () (not @t191)) % 0.37/0.70 (define @t370 () (or @t322 @t369 @t188 @t187 @t186 @t185 @t184 @t189)) % 0.37/0.70 (define @t371 () (tptp.leq tptp.pv57 tptp.n5)) % 0.37/0.70 (define @t372 () (not @t371)) % 0.37/0.70 (define @t373 () (or @t326 @t372 @t330 @t329 @t328 @t327 (= tptp.pv57 tptp.n4) (= tptp.pv57 tptp.n5))) % 0.37/0.70 (define @t374 () (forall @t9 @t370)) % 0.37/0.70 (define @t375 () (= tptp.n5 tptp.pv57)) % 0.37/0.70 (define @t376 () (= tptp.n4 tptp.pv57)) % 0.37/0.70 (define @t377 () (or @t326 @t372 @t336 @t335 @t334 @t333 @t376 @t375)) % 0.37/0.70 (define @t378 () (tptp.pred @t203)) % 0.37/0.70 (define @t379 () (not @t375)) % 0.37/0.70 (define @t380 () (= @t202 @t378)) % 0.37/0.70 (define @t381 () (not @t380)) % 0.37/0.70 (define @t382 () (tptp.pred @t91)) % 0.37/0.70 (define @t383 () (= @t92 @t382)) % 0.37/0.70 (define @t384 () (not @t383)) % 0.37/0.70 (define @t385 () (not @t317)) % 0.37/0.70 (define @t386 () (= tptp.n6 @t203)) % 0.37/0.70 (define @t387 () (not @t386)) % 0.37/0.70 (define @t388 () (= tptp.n5 @t202)) % 0.37/0.70 (define @t389 () (not @t388)) % 0.37/0.70 (define @t390 () (not @t319)) % 0.37/0.70 (define @t391 () (= true false)) % 0.37/0.70 (define @t392 () (and @t319 @t375 @t388 @t380 @t386 @t317 @t383 @t300)) % 0.37/0.70 (define @t393 () (@list false false false true false false false)) % 0.37/0.70 (define @t394 () (not @t376)) % 0.37/0.70 (define @t395 () (= @t201 (tptp.pred @t202))) % 0.37/0.70 (define @t396 () (not @t395)) % 0.37/0.70 (define @t397 () (and @t319 @t376 @t366 @t395 @t388 @t317 @t383 @t300)) % 0.37/0.70 (define @t398 () (and @t319 @t333 @t364 @t361 @t366 @t317 @t383 @t300)) % 0.37/0.70 (define @t399 () (= @t199 (tptp.pred @t200))) % 0.37/0.70 (define @t400 () (not @t399)) % 0.37/0.70 (define @t401 () (= tptp.n2 @t199)) % 0.37/0.70 (define @t402 () (not @t401)) % 0.37/0.70 (define @t403 () (and @t319 @t334 @t401 @t399 @t364 @t317 @t383 @t300)) % 0.37/0.70 (define @t404 () (= @t198 (tptp.pred @t199))) % 0.37/0.70 (define @t405 () (not @t404)) % 0.37/0.70 (define @t406 () (= tptp.n1 @t198)) % 0.37/0.70 (define @t407 () (not @t406)) % 0.37/0.70 (define @t408 () (and @t319 @t335 @t406 @t404 @t401 @t317 @t383 @t300)) % 0.37/0.70 (define @t409 () (= tptp.n0 (tptp.pred @t198))) % 0.37/0.70 (define @t410 () (not @t409)) % 0.37/0.70 (define @t411 () (and @t319 @t336 @t409 @t406 @t317 @t383 @t300)) % 0.37/0.70 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.37/0.70 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.37/0.70 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.37/0.70 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.37/0.70 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.37/0.70 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.37/0.70 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.37/0.70 (assume @p8 @t11) % 0.37/0.70 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.37/0.70 (assume @p10 @t13) % 0.37/0.70 (assume @p11 (forall @t9 (tptp.gt @t14 @t2))) % 0.37/0.70 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t15)))) % 0.37/0.70 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t15 @t2)))) % 0.37/0.70 (assume @p14 (forall @t19 (=> @t18 (tptp.leq @t17 @t2)))) % 0.37/0.70 (assume @p15 (forall @t19 (=> @t18 (tptp.leq tptp.n0 @t17)))) % 0.37/0.70 (assume @p16 (forall (@list @t21 @t23 @t22 @t20) (=> (and (tptp.leq @t23 @t21) @t24) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t23 @t22) @t20) @t21) @t20)))) % 0.37/0.70 (assume @p17 (forall (@list @t21 @t29 @t28 @t25 @t27 @t26 @t20) (=> (and (tptp.leq @t29 @t21) (tptp.leq @t21 @t28) (tptp.leq @t27 @t25) (tptp.leq @t25 @t26)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t29 @t28) (tptp.dim @t27 @t26) @t20) @t21 @t25) @t20)))) % 0.37/0.70 (assume @p18 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (= (tptp.a_select3 @t31 @t21 @t25) (tptp.a_select3 @t31 @t25 @t21))))))) % 0.37/0.70 (assume @p19 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (= (tptp.a_select3 @t41 @t21 @t25) (tptp.a_select3 @t41 @t25 @t21))))))) % 0.37/0.70 (assume @p20 (forall @t40 (=> @t39 (forall (@list @t21 @t25 @t43 @t42) (=> (and @t36 @t35 @t34 @t33 @t45 (tptp.leq @t43 @t32)) (= (tptp.a_select3 @t44 @t21 @t25) (tptp.a_select3 @t44 @t25 @t21))))))) % 0.37/0.70 (assume @p21 (forall @t51 (=> @t50 (forall @t38 (=> @t37 (= (tptp.a_select3 @t47 @t21 @t25) (tptp.a_select3 @t47 @t25 @t21))))))) % 0.37/0.70 (assume @p22 (forall @t51 (=> @t50 (forall @t38 (=> @t37 (= (tptp.a_select3 @t52 @t21 @t25) (tptp.a_select3 @t52 @t25 @t21))))))) % 0.37/0.70 (assume @p23 (forall @t51 (=> @t49 @t54))) % 0.37/0.70 (assume @p24 (forall (@list @t30 @t46 @t32 @t55) (=> (forall @t38 (=> @t56 @t48)) @t54))) % 0.37/0.70 (assume @p25 (forall (@list @t30 @t46 @t16 @t59 @t57 @t58 @t32 @t55) (=> (and (forall @t38 (=> @t56 (= (tptp.a_select3 @t59 @t21 @t25) (tptp.a_select3 @t59 @t25 @t21)))) @t39 (forall @t38 (=> @t37 (= (tptp.a_select3 @t58 @t21 @t25) (tptp.a_select3 @t58 @t25 @t21))))) (forall @t38 (=> @t37 (= (tptp.a_select3 @t60 @t21 @t25) (tptp.a_select3 @t60 @t25 @t21))))))) % 0.37/0.70 (assume @p26 (forall @t63 (= @t62 tptp.n0))) % 0.37/0.70 (assume @p27 (forall @t63 (= tptp.tptp_float_0_0 @t62))) % 0.37/0.70 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.37/0.70 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t14))) % 0.37/0.70 (assume @p30 @t65) % 0.37/0.70 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t66))) % 0.37/0.70 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t66))) % 0.37/0.70 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t67))) % 0.37/0.70 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t67))) % 0.37/0.70 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t68))) % 0.37/0.70 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t68))) % 0.37/0.70 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t69))) % 0.37/0.70 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t69))) % 0.37/0.70 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t70))) % 0.37/0.70 (assume @p40 @t72) % 0.37/0.70 (assume @p41 (forall @t9 (= (tptp.succ @t70) @t2))) % 0.37/0.70 (assume @p42 (forall @t6 (= (tptp.leq @t14 @t15) @t10))) % 0.37/0.70 (assume @p43 (forall @t6 (=> (tptp.leq @t14 @t1) @t4))) % 0.37/0.70 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.37/0.70 (assume @p45 (forall (@list @t2 @t22 @t73 @t42) (= (tptp.a_select3 @t74 @t22 @t73) @t42))) % 0.37/0.70 (assume @p46 (forall (@list @t21 @t25 @t22 @t73 @t2 @t42 @t75) (=> (and @t76 (= @t25 @t73) (= (tptp.a_select3 @t2 @t22 @t73) @t42)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t21 @t25 @t75) @t22 @t73) @t42)))) % 0.37/0.70 (assume @p47 (forall (@list @t21 @t25 @t22 @t73 @t2 @t42) (=> (and (forall (@list @t78 @t77) (=> (and @t80 (tptp.leq tptp.n0 @t77) @t79 (tptp.leq @t77 @t73)) (= (tptp.a_select3 @t2 @t78 @t77) @t42))) @t36 @t24 @t34 (tptp.leq @t25 @t73)) (= (tptp.a_select3 @t74 @t21 @t25) @t42)))) % 0.37/0.70 (assume @p48 (forall (@list @t2 @t22 @t42) (= (tptp.a_select2 @t81 @t22) @t42))) % 0.37/0.70 (assume @p49 (forall (@list @t21 @t22 @t2 @t42 @t75) (=> (and @t76 (= (tptp.a_select2 @t2 @t22) @t42)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t21 @t75) @t22) @t42)))) % 0.37/0.70 (assume @p50 (forall (@list @t21 @t22 @t2 @t42) (=> (and (forall (@list @t78) (=> (and @t80 @t79) (= (tptp.a_select2 @t2 @t78) @t42))) @t36 @t24) (= (tptp.a_select2 @t81 @t21) @t42)))) % 0.37/0.70 (assume @p51 tptp.true) % 0.37/0.70 (assume @p52 (not (= tptp.def tptp.use))) % 0.37/0.70 (assume @p53 @t179) % 0.37/0.70 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.37/0.70 (assume @p55 (tptp.gt tptp.n6 tptp.n4)) % 0.37/0.70 (assume @p56 (tptp.gt tptp.n999 tptp.n4)) % 0.37/0.70 (assume @p57 (tptp.gt tptp.n6 tptp.n5)) % 0.37/0.70 (assume @p58 (tptp.gt tptp.n999 tptp.n5)) % 0.37/0.70 (assume @p59 (tptp.gt tptp.n999 tptp.n6)) % 0.37/0.70 (assume @p60 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.37/0.70 (assume @p61 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.37/0.70 (assume @p62 (tptp.gt tptp.n6 tptp.tptp_minus_1)) % 0.37/0.70 (assume @p63 (tptp.gt tptp.n999 tptp.tptp_minus_1)) % 0.37/0.70 (assume @p64 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.37/0.70 (assume @p65 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.37/0.70 (assume @p66 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.37/0.70 (assume @p67 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.37/0.70 (assume @p68 (tptp.gt tptp.n4 tptp.n0)) % 0.37/0.70 (assume @p69 (tptp.gt tptp.n5 tptp.n0)) % 0.37/0.70 (assume @p70 (tptp.gt tptp.n6 tptp.n0)) % 0.37/0.70 (assume @p71 (tptp.gt tptp.n999 tptp.n0)) % 0.37/0.70 (assume @p72 (tptp.gt tptp.n1 tptp.n0)) % 0.37/0.70 (assume @p73 (tptp.gt tptp.n2 tptp.n0)) % 0.37/0.70 (assume @p74 @t180) % 0.37/0.70 (assume @p75 (tptp.gt tptp.n4 tptp.n1)) % 0.37/0.70 (assume @p76 (tptp.gt tptp.n5 tptp.n1)) % 0.37/0.70 (assume @p77 (tptp.gt tptp.n6 tptp.n1)) % 0.37/0.70 (assume @p78 (tptp.gt tptp.n999 tptp.n1)) % 0.37/0.70 (assume @p79 (tptp.gt tptp.n2 tptp.n1)) % 0.37/0.70 (assume @p80 @t181) % 0.37/0.70 (assume @p81 (tptp.gt tptp.n4 tptp.n2)) % 0.37/0.70 (assume @p82 (tptp.gt tptp.n5 tptp.n2)) % 0.37/0.70 (assume @p83 (tptp.gt tptp.n6 tptp.n2)) % 0.37/0.70 (assume @p84 (tptp.gt tptp.n999 tptp.n2)) % 0.37/0.70 (assume @p85 @t182) % 0.37/0.70 (assume @p86 @t183) % 0.37/0.70 (assume @p87 (tptp.gt tptp.n5 tptp.n3)) % 0.37/0.70 (assume @p88 (tptp.gt tptp.n6 tptp.n3)) % 0.37/0.70 (assume @p89 (tptp.gt tptp.n999 tptp.n3)) % 0.37/0.70 (assume @p90 (forall @t9 (=> (and @t18 (tptp.leq @t2 tptp.n4)) (or @t188 @t187 @t186 @t185 @t184)))) % 0.37/0.70 (assume @p91 @t193) % 0.37/0.70 (assume @p92 (forall @t9 (=> (and @t18 (tptp.leq @t2 tptp.n6)) (or @t188 @t187 @t186 @t185 @t184 @t189 (= @t2 tptp.n6))))) % 0.37/0.70 (assume @p93 (forall @t9 (=> (and @t18 (tptp.leq @t2 tptp.n0)) @t188))) % 0.37/0.70 (assume @p94 (forall @t9 (=> (and @t18 (tptp.leq @t2 tptp.n1)) (or @t188 @t187)))) % 0.37/0.70 (assume @p95 (forall @t9 (=> (and @t18 (tptp.leq @t2 tptp.n2)) (or @t188 @t187 @t186)))) % 0.37/0.70 (assume @p96 @t197) % 0.37/0.70 (assume @p97 (= @t201 tptp.n4)) % 0.37/0.70 (assume @p98 (= @t202 tptp.n5)) % 0.37/0.70 (assume @p99 (= @t203 tptp.n6)) % 0.37/0.70 (assume @p100 (= @t198 tptp.n1)) % 0.37/0.70 (assume @p101 (= @t199 tptp.n2)) % 0.37/0.70 (assume @p102 (= @t200 tptp.n3)) % 0.37/0.70 (assume @p103 true) % 0.37/0.70 (step @p104 :rule symm :premises (@p100)) % 0.37/0.70 (step @p105 :rule aci_norm :args ((= @t212 @t210))) % 0.37/0.70 (step @p106 :rule cong :premises (@p105) :args (@t214)) % 0.37/0.70 (step @p107 :rule quant-merge-prenex :args ((= (forall @t97 @t216) @t214))) % 0.37/0.70 (step @p108 :rule alpha_equiv :args (@t217 (@list @t204) (@list @t83))) % 0.37/0.70 (step @p109 :rule refl :args (@t208)) % 0.37/0.70 (step @p110 :rule refl :args (@t209)) % 0.37/0.70 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108) :args (@t218)) % 0.37/0.70 (step @p112 :rule quant-miniscope-or :args ((= @t216 @t218))) % 0.37/0.70 (step @p113 :rule trans :premises (@p112 @p111)) % 0.37/0.70 (step @p114 :rule symm :premises (@p113)) % 0.37/0.70 (step @p115 :rule cong :premises (@p114) :args ((forall @t97 @t223))) % 0.37/0.70 (step @p116 :rule trans :premises (@p115 @p107)) % 0.37/0.70 (step @p117 :rule trans :premises (@p116 @p106)) % 0.37/0.70 (step @p118 :rule aci_norm :args ((= (or (or @t209 @t208) @t222) @t223))) % 0.37/0.70 (step @p119 :rule refl :args (@t222)) % 0.37/0.70 (step @p120 :rule bool-and-de-morgan :args (@t94 @t93 true)) % 0.37/0.70 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or (not @t95) @t222))) % 0.37/0.70 (step @p122 :rule trans :premises (@p121 @p118)) % 0.37/0.70 (step @p123 :rule bool-impl-elim :args (@t95 @t222)) % 0.37/0.70 (step @p124 :rule trans :premises (@p123 @p122)) % 0.37/0.70 (step @p125 :rule cong :premises (@p124) :args ((forall @t97 (=> @t95 @t222)))) % 0.37/0.70 (step @p126 :rule trans :premises (@p125 @p117)) % 0.37/0.70 (step @p127 :rule aci_norm :args ((= (or (or @t220 @t219) @t84) @t221))) % 0.37/0.70 (step @p128 :rule refl :args (@t84)) % 0.37/0.70 (step @p129 :rule bool-and-de-morgan :args (@t87 @t86 true)) % 0.37/0.70 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or (not @t88) @t84))) % 0.37/0.70 (step @p131 :rule trans :premises (@p130 @p127)) % 0.37/0.70 (step @p132 :rule bool-impl-elim :args (@t88 @t84)) % 0.37/0.70 (step @p133 :rule trans :premises (@p132 @p131)) % 0.37/0.70 (step @p134 :rule cong :premises (@p133) :args (@t90)) % 0.37/0.70 (step @p135 :rule refl :args (@t95)) % 0.37/0.70 (step @p136 :rule cong :premises (@p135 @p134) :args (@t96)) % 0.37/0.70 (step @p137 :rule cong :premises (@p136) :args (@t98)) % 0.37/0.70 (step @p138 :rule trans :premises (@p137 @p126)) % 0.37/0.70 (step @p139 :rule aci_norm :args ((= (or @t229 @t101) @t228))) % 0.37/0.70 (step @p140 :rule refl :args (@t101)) % 0.37/0.70 (step @p141 :rule aci_norm :args ((= (or @t227 (or @t226 (or @t225 @t224))) @t229))) % 0.37/0.70 (step @p142 :rule bool-and-de-morgan :args (@t103 @t102 true)) % 0.37/0.70 (step @p143 :rule refl :args (@t226)) % 0.37/0.70 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t226 (not (and @t103 @t102))))) % 0.37/0.70 (step @p145 :rule bool-and-de-morgan :args (@t104 @t103 (and @t102))) % 0.37/0.70 (step @p146 :rule trans :premises (@p145 @p144)) % 0.37/0.70 (step @p147 :rule refl :args (@t227)) % 0.37/0.70 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or @t227 (not (and @t104 @t103 @t102))))) % 0.37/0.70 (step @p149 :rule bool-and-de-morgan :args (@t105 @t104 (and @t103 @t102))) % 0.37/0.70 (step @p150 :rule trans :premises (@p149 @p148)) % 0.37/0.70 (step @p151 :rule trans :premises (@p150 @p141)) % 0.37/0.70 (step @p152 :rule nary_cong :premises (@p151 @p140) :args ((or (not @t106) @t101))) % 0.37/0.70 (step @p153 :rule trans :premises (@p152 @p139)) % 0.37/0.70 (step @p154 :rule bool-impl-elim :args (@t106 @t101)) % 0.37/0.70 (step @p155 :rule trans :premises (@p154 @p153)) % 0.37/0.70 (step @p156 :rule cong :premises (@p155) :args (@t108)) % 0.37/0.70 (step @p157 :rule aci_norm :args ((= (or @t235 @t111) @t234))) % 0.37/0.70 (step @p158 :rule refl :args (@t111)) % 0.37/0.70 (step @p159 :rule aci_norm :args ((= (or @t233 (or @t232 (or @t231 @t230))) @t235))) % 0.37/0.70 (step @p160 :rule bool-and-de-morgan :args (@t114 @t113 true)) % 0.37/0.70 (step @p161 :rule refl :args (@t232)) % 0.37/0.70 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t232 (not (and @t114 @t113))))) % 0.37/0.70 (step @p163 :rule bool-and-de-morgan :args (@t115 @t114 (and @t113))) % 0.37/0.70 (step @p164 :rule trans :premises (@p163 @p162)) % 0.37/0.70 (step @p165 :rule refl :args (@t233)) % 0.37/0.70 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or @t233 (not (and @t115 @t114 @t113))))) % 0.37/0.70 (step @p167 :rule bool-and-de-morgan :args (@t116 @t115 (and @t114 @t113))) % 0.37/0.70 (step @p168 :rule trans :premises (@p167 @p166)) % 0.37/0.70 (step @p169 :rule trans :premises (@p168 @p159)) % 0.37/0.70 (step @p170 :rule nary_cong :premises (@p169 @p158) :args ((or (not @t117) @t111))) % 0.37/0.70 (step @p171 :rule trans :premises (@p170 @p157)) % 0.37/0.70 (step @p172 :rule bool-impl-elim :args (@t117 @t111)) % 0.37/0.70 (step @p173 :rule trans :premises (@p172 @p171)) % 0.37/0.70 (step @p174 :rule cong :premises (@p173) :args (@t119)) % 0.37/0.70 (step @p175 :rule aci_norm :args ((= (or @t241 @t122) @t240))) % 0.37/0.70 (step @p176 :rule refl :args (@t122)) % 0.37/0.70 (step @p177 :rule aci_norm :args ((= (or @t239 (or @t238 (or @t237 @t236))) @t241))) % 0.37/0.70 (step @p178 :rule bool-and-de-morgan :args (@t124 @t123 true)) % 0.37/0.70 (step @p179 :rule refl :args (@t238)) % 0.37/0.70 (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or @t238 (not (and @t124 @t123))))) % 0.37/0.70 (step @p181 :rule bool-and-de-morgan :args (@t125 @t124 (and @t123))) % 0.37/0.70 (step @p182 :rule trans :premises (@p181 @p180)) % 0.37/0.70 (step @p183 :rule refl :args (@t239)) % 0.37/0.70 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or @t239 (not (and @t125 @t124 @t123))))) % 0.37/0.70 (step @p185 :rule bool-and-de-morgan :args (@t45 @t125 (and @t124 @t123))) % 0.37/0.70 (step @p186 :rule trans :premises (@p185 @p184)) % 0.37/0.70 (step @p187 :rule trans :premises (@p186 @p177)) % 0.37/0.70 (step @p188 :rule nary_cong :premises (@p187 @p176) :args ((or (not @t126) @t122))) % 0.37/0.70 (step @p189 :rule trans :premises (@p188 @p175)) % 0.37/0.70 (step @p190 :rule bool-impl-elim :args (@t126 @t122)) % 0.37/0.70 (step @p191 :rule trans :premises (@p190 @p189)) % 0.37/0.70 (step @p192 :rule cong :premises (@p191) :args (@t128)) % 0.37/0.70 (step @p193 :rule refl :args (@t129)) % 0.37/0.70 (step @p194 :rule refl :args (@t130)) % 0.37/0.70 (step @p195 :rule nary_cong :premises (@p194 @p193 @p192 @p174 @p156 @p138) :args (@t131)) % 0.37/0.70 (step @p196 :rule aci_norm :args ((= @t249 (or @t247 @t246 @t245 @t244 @t243)))) % 0.37/0.70 (step @p197 :rule cong :premises (@p196) :args (@t250)) % 0.37/0.70 (step @p198 :rule quant-merge-prenex :args ((= (forall @t140 @t252) @t250))) % 0.37/0.70 (step @p199 :rule alpha_equiv :args (@t253 (@list @t242) (@list @t25))) % 0.37/0.70 (step @p200 :rule refl :args (@t246)) % 0.37/0.70 (step @p201 :rule refl :args (@t247)) % 0.37/0.70 (step @p202 :rule nary_cong :premises (@p201 @p200 @p199) :args (@t254)) % 0.37/0.70 (step @p203 :rule quant-miniscope-or :args ((= @t252 @t254))) % 0.37/0.70 (step @p204 :rule trans :premises (@p203 @p202)) % 0.37/0.70 (step @p205 :rule symm :premises (@p204)) % 0.37/0.70 (step @p206 :rule cong :premises (@p205) :args ((forall @t140 @t259))) % 0.37/0.70 (step @p207 :rule trans :premises (@p206 @p198)) % 0.37/0.70 (step @p208 :rule trans :premises (@p207 @p197)) % 0.37/0.70 (step @p209 :rule aci_norm :args ((= (or (or @t247 @t246) @t258) @t259))) % 0.37/0.70 (step @p210 :rule refl :args (@t258)) % 0.37/0.70 (step @p211 :rule bool-and-de-morgan :args (@t36 @t137 true)) % 0.37/0.70 (step @p212 :rule nary_cong :premises (@p211 @p210) :args ((or (not @t138) @t258))) % 0.37/0.70 (step @p213 :rule trans :premises (@p212 @p209)) % 0.37/0.70 (step @p214 :rule bool-impl-elim :args (@t138 @t258)) % 0.37/0.70 (step @p215 :rule trans :premises (@p214 @p213)) % 0.37/0.70 (step @p216 :rule cong :premises (@p215) :args ((forall @t140 (=> @t138 @t258)))) % 0.37/0.70 (step @p217 :rule trans :premises (@p216 @p208)) % 0.37/0.70 (step @p218 :rule aci_norm :args ((= (or (or @t256 @t255) @t132) @t257))) % 0.37/0.70 (step @p219 :rule refl :args (@t132)) % 0.37/0.70 (step @p220 :rule bool-and-de-morgan :args (@t34 @t133 true)) % 0.37/0.70 (step @p221 :rule nary_cong :premises (@p220 @p219) :args ((or (not @t134) @t132))) % 0.37/0.70 (step @p222 :rule trans :premises (@p221 @p218)) % 0.37/0.70 (step @p223 :rule bool-impl-elim :args (@t134 @t132)) % 0.37/0.70 (step @p224 :rule trans :premises (@p223 @p222)) % 0.37/0.70 (step @p225 :rule cong :premises (@p224) :args (@t136)) % 0.37/0.70 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(@p1171)) % 0.37/0.70 (step-pop @p1173 :rule scope :premises (@p1172)) % 0.37/0.70 (step @p898 :rule process_scope :premises (@p1173) :args (@t408)) % 0.37/0.70 (step @p907 :rule implies_elim :premises (@p898)) % 0.37/0.70 (step @p908 :rule resolution :premises (@p907 @p880) :args (true @t408)) % 0.37/0.70 (step @p909 :rule not_and :premises (@p908)) % 0.37/0.70 (step @p910 :rule eq_resolve :premises (@p909 @p859)) % 0.37/0.70 (step @p911 :rule reordering :premises (@p910) :args ((or @t407 @t402 @t307 @t318 @t385 @t384 @t405 @t349))) % 0.37/0.70 (step @p912 :rule chain_m_resolution :premises (@p911 @p104 @p799 @p376 @p419 @p389 @p390 @p856) :args (@t349 @t393 (@list @t406 @t401 @t300 @t318 @t317 @t383 @t404))) % 0.37/0.70 (step @p913 :rule cnf_or_pos :args (@t337)) % 0.37/0.70 (step @p914 :rule reordering :premises (@p913) :args ((or @t326 @t336 @t335 @t334 @t333 @t325 (not @t337)))) % 0.37/0.70 (step @p915 :rule chain_m_resolution :premises (@p914 @p581 @p912 @p855 @p797 @p743 @p444) :args (@t336 (@list false true true true false false) (@list @t176 @t335 @t334 @t333 @t324 @t337))) % 0.37/0.70 (step @p916 :rule refl :args (@t410)) % 0.37/0.70 (step @p917 :rule nary_cong :premises (@p858 @p622 @p453 @p621 @p620 @p916 @p618) :args ((or @t407 @t307 @t342 @t385 @t384 @t410 @t390))) % 0.37/0.70 (assume-push @p1174 @t319) % 0.37/0.70 (assume-push @p1175 @t336) % 0.37/0.70 (assume-push @p1176 @t409) % 0.37/0.70 (assume-push @p1177 @t406) % 0.37/0.70 (assume-push @p1178 @t317) % 0.37/0.70 (assume-push @p1179 @t383) % 0.37/0.70 (assume-push @p1180 @t300) % 0.37/0.70 (step @p634 :rule evaluate :args (@t391)) % 0.37/0.70 (step @p635 :rule false_intro :premises (@p419)) % 0.37/0.70 (step @p636 :rule refl :args (@t299)) % 0.37/0.70 (step @p925 :rule cong :premises (@p636 @p1175) :args ((tptp.leq @t299 tptp.n0))) % 0.37/0.70 (step @p926 :rule symm :premises (@p394)) % 0.37/0.70 (step @p927 :rule cong :premises (@p104) :args ((tptp.pred tptp.n1))) % 0.37/0.70 (step @p928 :rule symm :premises (@p1175)) % 0.37/0.70 (step @p929 :rule cong :premises (@p928) :args (@t313)) % 0.37/0.70 (step @p930 :rule trans :premises (@p389 @p929 @p100)) % 0.37/0.70 (step @p931 :rule cong :premises (@p930) :args (@t382)) % 0.37/0.70 (step @p932 :rule trans :premises (@p390 @p931 @p927 @p926)) % 0.37/0.70 (step @p933 :rule cong :premises (@p636 @p932) :args (@t300)) % 0.37/0.70 (step @p647 :rule true_intro :premises (@p376)) % 0.37/0.70 (step @p648 :rule symm :premises (@p647)) % 0.37/0.70 (step @p934 :rule trans :premises (@p648 @p933 @p925 @p635)) % 0.37/0.70 (step @p935 false :rule eq_resolve :premises (@p934 @p634)) % 0.37/0.70 (step-pop @p1181 :rule scope :premises (@p935)) % 0.37/0.70 (step-pop @p1182 :rule scope :premises (@p1181)) % 0.37/0.70 (step-pop @p1183 :rule scope :premises (@p1182)) % 0.37/0.70 (step-pop @p1184 :rule scope :premises (@p1183)) % 0.37/0.70 (step-pop @p1185 :rule scope :premises (@p1184)) % 0.37/0.70 (step-pop @p1186 :rule scope :premises (@p1185)) % 0.37/0.70 (step-pop @p1187 :rule scope :premises (@p1186)) % 0.37/0.70 (step @p936 :rule process_scope :premises (@p1187) :args (false)) % 0.37/0.70 (assume-push @p1188 @t406) % 0.37/0.70 (assume-push @p1189 @t300) % 0.37/0.70 (assume-push @p1190 @t336) % 0.37/0.70 (assume-push @p1191 @t317) % 0.37/0.70 (assume-push @p1192 @t383) % 0.37/0.70 (assume-push @p1193 @t409) % 0.37/0.70 (assume-push @p1194 @t319) % 0.37/0.70 (step @p951 :rule and_intro :premises (@p419 @p1190 @p394 @p104 @p389 @p390 @p376)) % 0.37/0.70 (step-pop @p1195 :rule scope :premises (@p951)) % 0.37/0.70 (step-pop @p1196 :rule scope :premises (@p1195)) % 0.37/0.70 (step-pop @p1197 :rule scope :premises (@p1196)) % 0.37/0.70 (step-pop @p1198 :rule scope :premises (@p1197)) % 0.37/0.70 (step-pop @p1199 :rule scope :premises (@p1198)) % 0.37/0.70 (step-pop @p1200 :rule scope :premises (@p1199)) % 0.37/0.70 (step-pop @p1201 :rule scope :premises (@p1200)) % 0.37/0.70 (step @p952 :rule process_scope :premises (@p1201) :args (@t411)) % 0.37/0.70 (step @p960 :rule implies_elim :premises (@p952)) % 0.37/0.70 (step @p961 :rule resolution :premises (@p960 @p936) :args (true @t411)) % 0.37/0.70 (step @p962 :rule not_and :premises (@p961)) % 0.37/0.70 (step @p963 :rule eq_resolve :premises (@p962 @p917)) % 0.37/0.70 (step @p964 :rule reordering :premises (@p963) :args ((or @t407 @t307 @t318 @t342 @t385 @t384 @t410))) % 0.37/0.70 (step @p965 false :rule chain_m_resolution :premises (@p964 @p915 @p419 @p394 @p390 @p389 @p376 @p104) :args (false (@list false true false false false false false) (@list @t336 @t318 @t409 @t383 @t317 @t300 @t406))) % 0.37/0.70 ) % 0.37/0.70 % SZS output end Proof % 0.37/0.70 % cvc5 exiting %------------------------------------------------------------------------------