%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV116+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 : n027.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 09:00:33 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 : SWV116+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:55:36 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.52 %----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 $$unsorted) % 0.37/0.64 (declare-const tptp.r_ds1_filter $$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.id_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.n6 $$unsorted) % 0.37/0.64 (declare-const tptp.n3 $$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.n999 $$unsorted) % 0.37/0.64 (declare-const tptp.lt (-> $$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 $$unsorted)) % 0.37/0.64 (declare-const tptp.pminus_ds1_filter $$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" $$unsorted)) % 0.37/0.64 (define @t72 () (tptp.leq @t71 @t19)) % 0.37/0.64 (define @t73 () (tptp.leq tptp.n0 @t71)) % 0.37/0.64 (define @t74 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.37/0.64 (define @t75 () (@var "O" $$unsorted)) % 0.37/0.64 (define @t76 () (@var "P" $$unsorted)) % 0.37/0.64 (define @t77 () (= (tptp.a_select3 tptp.pminus_ds1_filter @t75 @t76) (tptp.a_select3 tptp.pminus_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 @t75 @t78)) % 0.37/0.64 (define @t81 () (tptp.leq tptp.n0 @t76)) % 0.37/0.64 (define @t82 () (tptp.leq tptp.n0 @t75)) % 0.37/0.64 (define @t83 () (and @t82 @t81 @t80 @t79)) % 0.37/0.64 (define @t84 () (@list @t75 @t76)) % 0.37/0.64 (define @t85 () (forall @t84 (=> @t83 @t77))) % 0.37/0.64 (define @t86 () (tptp.a_select3 tptp.r_ds1_filter @t29 @t52)) % 0.37/0.64 (define @t87 () (tptp.a_select3 tptp.r_ds1_filter @t52 @t29)) % 0.37/0.64 (define @t88 () (= @t87 @t86)) % 0.37/0.64 (define @t89 () (tptp.minus tptp.n3 tptp.n1)) % 0.37/0.64 (define @t90 () (tptp.leq @t29 @t89)) % 0.37/0.64 (define @t91 () (tptp.leq @t52 @t89)) % 0.37/0.64 (define @t92 () (tptp.leq tptp.n0 @t29)) % 0.37/0.64 (define @t93 () (tptp.leq tptp.n0 @t52)) % 0.37/0.64 (define @t94 () (and @t93 @t92 @t91 @t90)) % 0.37/0.64 (define @t95 () (@list @t52 @t29)) % 0.37/0.64 (define @t96 () (forall @t95 (=> @t94 @t88))) % 0.37/0.64 (define @t97 () (tptp.a_select3 tptp.q_ds1_filter @t20 @t40)) % 0.37/0.64 (define @t98 () (tptp.a_select3 tptp.q_ds1_filter @t40 @t20)) % 0.37/0.64 (define @t99 () (= @t98 @t97)) % 0.37/0.64 (define @t100 () (tptp.leq @t20 @t78)) % 0.37/0.64 (define @t101 () (tptp.leq @t40 @t78)) % 0.37/0.64 (define @t102 () (tptp.leq tptp.n0 @t20)) % 0.37/0.64 (define @t103 () (and @t42 @t102 @t101 @t100)) % 0.37/0.64 (define @t104 () (@list @t40 @t20)) % 0.37/0.64 (define @t105 () (forall @t104 (=> @t103 @t99))) % 0.37/0.64 (define @t106 () (and @t105 @t96 @t85)) % 0.37/0.64 (define @t107 () (= (tptp.a_select3 tptp.id_ds1_filter @t18 @t22) (tptp.a_select3 tptp.id_ds1_filter @t22 @t18))) % 0.37/0.64 (define @t108 () (tptp.leq @t22 @t78)) % 0.37/0.64 (define @t109 () (and @t31 @t108)) % 0.37/0.64 (define @t110 () (@list @t22)) % 0.37/0.64 (define @t111 () (forall @t110 (=> @t109 @t107))) % 0.37/0.64 (define @t112 () (tptp.leq @t18 @t78)) % 0.37/0.64 (define @t113 () (and @t33 @t112)) % 0.37/0.64 (define @t114 () (=> @t113 @t111)) % 0.37/0.64 (define @t115 () (@list @t18)) % 0.37/0.64 (define @t116 () (forall @t115 @t114)) % 0.37/0.64 (define @t117 () (@var "G" $$unsorted)) % 0.37/0.64 (define @t118 () (@var "H" $$unsorted)) % 0.37/0.64 (define @t119 () (= (tptp.a_select3 tptp.pminus_ds1_filter @t117 @t118) (tptp.a_select3 tptp.pminus_ds1_filter @t118 @t117))) % 0.37/0.64 (define @t120 () (tptp.leq @t118 @t78)) % 0.37/0.64 (define @t121 () (tptp.leq @t117 @t78)) % 0.37/0.64 (define @t122 () (tptp.leq tptp.n0 @t118)) % 0.37/0.64 (define @t123 () (tptp.leq tptp.n0 @t117)) % 0.37/0.64 (define @t124 () (and @t123 @t122 @t121 @t120)) % 0.37/0.64 (define @t125 () (forall (@list @t117 @t118) (=> @t124 @t119))) % 0.37/0.64 (define @t126 () (= (tptp.a_select3 tptp.pminus_ds1_filter @t54 @t55) (tptp.a_select3 tptp.pminus_ds1_filter @t55 @t54))) % 0.37/0.64 (define @t127 () (tptp.leq @t55 @t78)) % 0.37/0.64 (define @t128 () (tptp.leq @t54 @t78)) % 0.37/0.64 (define @t129 () (tptp.leq tptp.n0 @t55)) % 0.37/0.64 (define @t130 () (tptp.leq tptp.n0 @t54)) % 0.37/0.64 (define @t131 () (and @t130 @t129 @t128 @t127)) % 0.37/0.64 (define @t132 () (@list @t54 @t55)) % 0.37/0.64 (define @t133 () (forall @t132 (=> @t131 @t126))) % 0.37/0.64 (define @t134 () (= (tptp.a_select3 tptp.r_ds1_filter @t13 @t56) (tptp.a_select3 tptp.r_ds1_filter @t56 @t13))) % 0.37/0.64 (define @t135 () (tptp.leq @t56 @t89)) % 0.37/0.64 (define @t136 () (tptp.leq @t13 @t89)) % 0.37/0.64 (define @t137 () (tptp.leq tptp.n0 @t56)) % 0.37/0.64 (define @t138 () (tptp.leq tptp.n0 @t13)) % 0.37/0.64 (define @t139 () (and @t138 @t137 @t136 @t135)) % 0.37/0.64 (define @t140 () (@list @t13 @t56)) % 0.37/0.64 (define @t141 () (forall @t140 (=> @t139 @t134))) % 0.37/0.64 (define @t142 () (= (tptp.a_select3 tptp.q_ds1_filter @t27 @t43) (tptp.a_select3 tptp.q_ds1_filter @t43 @t27))) % 0.37/0.64 (define @t143 () (tptp.leq @t43 @t78)) % 0.37/0.64 (define @t144 () (tptp.leq @t27 @t78)) % 0.37/0.64 (define @t145 () (tptp.leq tptp.n0 @t43)) % 0.37/0.64 (define @t146 () (tptp.leq tptp.n0 @t27)) % 0.37/0.64 (define @t147 () (and @t146 @t145 @t144 @t143)) % 0.37/0.64 (define @t148 () (@list @t27 @t43)) % 0.37/0.64 (define @t149 () (forall @t148 (=> @t147 @t142))) % 0.37/0.64 (define @t150 () (tptp.leq tptp.pv5 (tptp.minus tptp.n999 tptp.n1))) % 0.37/0.64 (define @t151 () (tptp.leq tptp.n0 tptp.pv5)) % 0.37/0.64 (define @t152 () (and @t151 @t150 @t149 @t141 @t133 @t125 @t116)) % 0.37/0.64 (define @t153 () (=> @t152 @t106)) % 0.37/0.64 (define @t154 () (not @t153)) % 0.37/0.64 (define @t155 () (= @t2 tptp.n4)) % 0.37/0.64 (define @t156 () (= @t2 tptp.n3)) % 0.37/0.64 (define @t157 () (= @t2 tptp.n2)) % 0.37/0.64 (define @t158 () (= @t2 tptp.n1)) % 0.37/0.64 (define @t159 () (= @t2 tptp.n0)) % 0.37/0.64 (define @t160 () (= @t2 tptp.n5)) % 0.37/0.64 (define @t161 () (tptp.succ tptp.n0)) % 0.37/0.64 (define @t162 () (tptp.succ @t161)) % 0.37/0.64 (define @t163 () (tptp.succ @t162)) % 0.37/0.64 (define @t164 () (tptp.succ @t163)) % 0.37/0.64 (define @t165 () (tptp.succ @t164)) % 0.37/0.64 (define @t166 () (not @t79)) % 0.37/0.64 (define @t167 () (not @t80)) % 0.37/0.64 (define @t168 () (not @t81)) % 0.37/0.64 (define @t169 () (not @t82)) % 0.37/0.64 (define @t170 () (or @t169 @t168 @t167 @t166 @t77)) % 0.37/0.64 (define @t171 () (or @t169 @t168 @t167 @t166)) % 0.37/0.64 (define @t172 () (not @t90)) % 0.37/0.64 (define @t173 () (not @t91)) % 0.37/0.64 (define @t174 () (not @t92)) % 0.37/0.64 (define @t175 () (not @t93)) % 0.37/0.64 (define @t176 () (or @t175 @t174 @t173 @t172 @t88)) % 0.37/0.64 (define @t177 () (or @t175 @t174 @t173 @t172)) % 0.37/0.64 (define @t178 () (not @t100)) % 0.37/0.64 (define @t179 () (not @t101)) % 0.37/0.64 (define @t180 () (not @t102)) % 0.37/0.64 (define @t181 () (not @t42)) % 0.37/0.64 (define @t182 () (or @t181 @t180 @t179 @t178 @t99)) % 0.37/0.64 (define @t183 () (or @t181 @t180 @t179 @t178)) % 0.37/0.64 (define @t184 () (@var "BOUND_VARIABLE_8502" $$unsorted)) % 0.37/0.64 (define @t185 () (= (tptp.a_select3 tptp.id_ds1_filter @t18 @t184) (tptp.a_select3 tptp.id_ds1_filter @t184 @t18))) % 0.37/0.64 (define @t186 () (not (tptp.leq @t184 @t78))) % 0.37/0.64 (define @t187 () (not (tptp.leq tptp.n0 @t184))) % 0.37/0.64 (define @t188 () (not @t112)) % 0.37/0.64 (define @t189 () (not @t33)) % 0.37/0.64 (define @t190 () (or @t187 @t186 @t185)) % 0.37/0.64 (define @t191 () (or @t189 @t188 @t190)) % 0.37/0.64 (define @t192 () (forall (@list @t18 @t184) @t191)) % 0.37/0.64 (define @t193 () (@list @t184)) % 0.37/0.64 (define @t194 () (forall @t193 @t191)) % 0.37/0.64 (define @t195 () (forall @t193 @t190)) % 0.37/0.64 (define @t196 () (or @t189 @t188 @t195)) % 0.37/0.64 (define @t197 () (not @t108)) % 0.37/0.64 (define @t198 () (not @t31)) % 0.37/0.64 (define @t199 () (or @t198 @t197 @t107)) % 0.37/0.64 (define @t200 () (forall @t110 @t199)) % 0.37/0.64 (define @t201 () (or @t189 @t188 @t200)) % 0.37/0.64 (define @t202 () (not @t120)) % 0.37/0.64 (define @t203 () (not @t121)) % 0.37/0.64 (define @t204 () (not @t122)) % 0.37/0.64 (define @t205 () (not @t123)) % 0.37/0.64 (define @t206 () (or @t205 @t204 @t203 @t202)) % 0.37/0.64 (define @t207 () (not @t127)) % 0.37/0.64 (define @t208 () (not @t128)) % 0.37/0.64 (define @t209 () (not @t129)) % 0.37/0.64 (define @t210 () (not @t130)) % 0.37/0.64 (define @t211 () (or @t210 @t209 @t208 @t207 @t126)) % 0.37/0.64 (define @t212 () (or @t210 @t209 @t208 @t207)) % 0.37/0.64 (define @t213 () (not @t135)) % 0.37/0.64 (define @t214 () (not @t136)) % 0.37/0.64 (define @t215 () (not @t137)) % 0.37/0.64 (define @t216 () (not @t138)) % 0.37/0.64 (define @t217 () (or @t216 @t215 @t214 @t213 @t134)) % 0.37/0.64 (define @t218 () (or @t216 @t215 @t214 @t213)) % 0.37/0.64 (define @t219 () (not @t143)) % 0.37/0.64 (define @t220 () (not @t144)) % 0.37/0.64 (define @t221 () (not @t145)) % 0.37/0.64 (define @t222 () (not @t146)) % 0.37/0.64 (define @t223 () (or @t222 @t221 @t220 @t219 @t142)) % 0.37/0.64 (define @t224 () (or @t222 @t221 @t220 @t219)) % 0.37/0.64 (define @t225 () (or @t180 @t181 @t178 @t179 @t99)) % 0.37/0.64 (define @t226 () (forall @t104 @t225)) % 0.37/0.64 (define @t227 () (forall @t104 @t182)) % 0.37/0.64 (define @t228 () (or @t180 @t181 @t178 @t179 (= @t97 @t98))) % 0.37/0.64 (define @t229 () (forall @t104 @t228)) % 0.37/0.64 (define @t230 () (forall @t148 @t223)) % 0.37/0.64 (define @t231 () (@list false)) % 0.37/0.64 (define @t232 () (or @t174 @t175 @t172 @t173 @t88)) % 0.37/0.64 (define @t233 () (forall @t95 @t232)) % 0.37/0.64 (define @t234 () (forall @t95 @t176)) % 0.37/0.64 (define @t235 () (or @t174 @t175 @t172 @t173 (= @t86 @t87))) % 0.37/0.64 (define @t236 () (forall @t95 @t235)) % 0.37/0.64 (define @t237 () (forall @t140 @t217)) % 0.37/0.64 (define @t238 () (forall @t132 @t211)) % 0.37/0.64 (define @t239 () (forall @t84 @t170)) % 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 @t154) % 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 @t159 @t158 @t157 @t156 @t155)))) % 0.37/0.64 (assume @p91 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t159 @t158 @t157 @t156 @t155 @t160)))) % 0.37/0.64 (assume @p92 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n6)) (or @t159 @t158 @t157 @t156 @t155 @t160 (= @t2 tptp.n6))))) % 0.37/0.64 (assume @p93 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t159))) % 0.37/0.64 (assume @p94 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t159 @t158)))) % 0.37/0.64 (assume @p95 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t159 @t158 @t157)))) % 0.37/0.64 (assume @p96 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t159 @t158 @t157 @t156)))) % 0.37/0.64 (assume @p97 (= @t164 tptp.n4)) % 0.37/0.64 (assume @p98 (= @t165 tptp.n5)) % 0.37/0.64 (assume @p99 (= (tptp.succ @t165) tptp.n6)) % 0.37/0.64 (assume @p100 (= @t161 tptp.n1)) % 0.37/0.64 (assume @p101 (= @t162 tptp.n2)) % 0.37/0.64 (assume @p102 (= @t163 tptp.n3)) % 0.37/0.64 (assume @p103 true) % 0.37/0.64 (step @p104 :rule aci_norm :args ((= (or @t171 @t77) @t170))) % 0.37/0.64 (step @p105 :rule refl :args (@t77)) % 0.37/0.64 (step @p106 :rule aci_norm :args ((= (or @t169 (or @t168 (or @t167 @t166))) @t171))) % 0.37/0.64 (step @p107 :rule bool-and-de-morgan :args (@t80 @t79 true)) % 0.37/0.64 (step @p108 :rule refl :args (@t168)) % 0.37/0.64 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t168 (not (and @t80 @t79))))) % 0.37/0.64 (step @p110 :rule bool-and-de-morgan :args (@t81 @t80 (and @t79))) % 0.37/0.64 (step @p111 :rule trans :premises (@p110 @p109)) % 0.37/0.64 (step @p112 :rule refl :args (@t169)) % 0.37/0.64 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t169 (not (and @t81 @t80 @t79))))) % 0.37/0.64 (step @p114 :rule bool-and-de-morgan :args (@t82 @t81 (and @t80 @t79))) % 0.37/0.64 (step @p115 :rule trans :premises (@p114 @p113)) % 0.37/0.64 (step @p116 :rule trans :premises (@p115 @p106)) % 0.37/0.64 (step @p117 :rule nary_cong :premises (@p116 @p105) :args ((or (not @t83) @t77))) % 0.37/0.64 (step @p118 :rule trans :premises (@p117 @p104)) % 0.37/0.64 (step @p119 :rule bool-impl-elim :args (@t83 @t77)) % 0.37/0.64 (step @p120 :rule trans :premises (@p119 @p118)) % 0.37/0.64 (step @p121 :rule cong :premises (@p120) :args (@t85)) % 0.37/0.64 (step @p122 :rule aci_norm :args ((= (or @t177 @t88) @t176))) % 0.37/0.64 (step @p123 :rule refl :args (@t88)) % 0.37/0.64 (step @p124 :rule aci_norm :args ((= (or @t175 (or @t174 (or @t173 @t172))) @t177))) % 0.37/0.64 (step @p125 :rule bool-and-de-morgan :args (@t91 @t90 true)) % 0.37/0.64 (step @p126 :rule refl :args (@t174)) % 0.37/0.64 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t174 (not (and @t91 @t90))))) % 0.37/0.64 (step @p128 :rule bool-and-de-morgan :args (@t92 @t91 (and @t90))) % 0.37/0.64 (step @p129 :rule trans :premises (@p128 @p127)) % 0.37/0.64 (step @p130 :rule refl :args (@t175)) % 0.37/0.64 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or @t175 (not (and @t92 @t91 @t90))))) % 0.37/0.64 (step @p132 :rule bool-and-de-morgan :args (@t93 @t92 (and @t91 @t90))) % 0.37/0.64 (step @p133 :rule trans :premises (@p132 @p131)) % 0.37/0.64 (step @p134 :rule trans :premises (@p133 @p124)) % 0.37/0.64 (step @p135 :rule nary_cong :premises (@p134 @p123) :args ((or (not @t94) @t88))) % 0.37/0.64 (step @p136 :rule trans :premises (@p135 @p122)) % 0.37/0.64 (step @p137 :rule bool-impl-elim :args (@t94 @t88)) % 0.37/0.64 (step @p138 :rule trans :premises (@p137 @p136)) % 0.37/0.64 (step @p139 :rule cong :premises (@p138) :args (@t96)) % 0.37/0.64 (step @p140 :rule aci_norm :args ((= (or @t183 @t99) @t182))) % 0.37/0.64 (step @p141 :rule refl :args (@t99)) % 0.37/0.64 (step @p142 :rule aci_norm :args ((= (or @t181 (or @t180 (or @t179 @t178))) @t183))) % 0.37/0.64 (step @p143 :rule bool-and-de-morgan :args (@t101 @t100 true)) % 0.37/0.64 (step @p144 :rule refl :args (@t180)) % 0.37/0.64 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or @t180 (not (and @t101 @t100))))) % 0.37/0.64 (step @p146 :rule bool-and-de-morgan :args (@t102 @t101 (and @t100))) % 0.37/0.64 (step @p147 :rule trans :premises (@p146 @p145)) % 0.37/0.64 (step @p148 :rule refl :args (@t181)) % 0.37/0.64 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or @t181 (not (and @t102 @t101 @t100))))) % 0.37/0.64 (step @p150 :rule bool-and-de-morgan :args (@t42 @t102 (and @t101 @t100))) % 0.37/0.64 (step @p151 :rule trans :premises (@p150 @p149)) % 0.37/0.64 (step @p152 :rule trans :premises (@p151 @p142)) % 0.37/0.64 (step @p153 :rule nary_cong :premises (@p152 @p141) :args ((or (not @t103) @t99))) % 0.37/0.64 (step @p154 :rule trans :premises 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true)) % 0.37/0.64 (step @p197 :rule refl :args (@t204)) % 0.37/0.64 (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or @t204 (not (and @t121 @t120))))) % 0.37/0.64 (step @p199 :rule bool-and-de-morgan :args (@t122 @t121 (and @t120))) % 0.37/0.64 (step @p200 :rule trans :premises (@p199 @p198)) % 0.37/0.64 (step @p201 :rule refl :args (@t205)) % 0.37/0.64 (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or @t205 (not (and @t122 @t121 @t120))))) % 0.37/0.64 (step @p203 :rule bool-and-de-morgan :args (@t123 @t122 (and @t121 @t120))) % 0.37/0.64 (step @p204 :rule trans :premises (@p203 @p202)) % 0.37/0.64 (step @p205 :rule trans :premises (@p204 @p195)) % 0.37/0.64 (step @p206 :rule nary_cong :premises (@p205 @p194) :args ((or (not @t124) @t119))) % 0.37/0.64 (step @p207 :rule trans :premises (@p206 @p193)) % 0.37/0.64 (step @p208 :rule bool-impl-elim :args (@t124 @t119)) % 0.37/0.64 (step @p209 :rule trans :premises (@p208 @p207)) % 0.37/0.64 (step @p210 :rule cong 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@p280 :rule refl :args (@t178)) % 0.37/0.64 (step @p281 :rule refl :args (@t181)) % 0.37/0.64 (step @p282 :rule refl :args (@t180)) % 0.37/0.64 (step @p283 :rule nary_cong :premises (@p282 @p281 @p280 @p279 @p278) :args (@t228)) % 0.37/0.64 (step @p284 :rule cong :premises (@p283) :args (@t229)) % 0.37/0.64 (step @p285 :rule refl :args (@t227)) % 0.37/0.64 (step @p286 :rule cong :premises (@p285 @p284) :args ((= @t227 @t229))) % 0.37/0.64 (step @p287 :rule eq-symm :args (@t229 @t227)) % 0.37/0.64 (step @p288 :rule trans :premises (@p287 @p286)) % 0.37/0.64 (step @p289 :rule trans :premises (@p288 @p277)) % 0.37/0.64 (step @p290 :rule true_elim :premises (@p289)) % 0.37/0.64 (step @p291 :rule quant_var_reordering :args ((= (forall (@list @t20 @t40) @t228) @t229))) % 0.37/0.64 (step @p292 :rule alpha_equiv :args (@t230 (@list @t27 @t43) (@list @t20 @t40))) % 0.37/0.64 (step @p293 :rule trans :premises (@p292 @p291 @p290)) % 0.37/0.64 (step @p294 :rule equiv_elim1 :premises (@p293)) % 0.37/0.64 (step @p295 :rule reordering :premises (@p294) :args ((or @t227 (not @t230)))) % 0.37/0.64 (step @p296 :rule chain_m_resolution :premises (@p295 @p272) :args (@t227 @t231 (@list @t230))) % 0.37/0.64 (step @p297 :rule and_elim :premises (@p271) :args (3)) % 0.37/0.64 (step @p298 :rule aci_norm :args ((= @t232 @t176))) % 0.37/0.64 (step @p299 :rule cong :premises (@p298) :args (@t233)) % 0.37/0.64 (step @p300 :rule true_intro :premises (@p299)) % 0.37/0.64 (step @p301 :rule eq-symm :args (@t234 @t233)) % 0.37/0.64 (step @p302 :rule trans :premises (@p301 @p300)) % 0.37/0.64 (step @p303 :rule eq-symm :args (@t86 @t87)) % 0.37/0.64 (step @p304 :rule refl :args (@t173)) % 0.37/0.64 (step @p305 :rule refl :args (@t172)) % 0.37/0.64 (step @p306 :rule refl :args (@t175)) % 0.37/0.64 (step @p307 :rule refl :args (@t174)) % 0.37/0.64 (step @p308 :rule nary_cong :premises (@p307 @p306 @p305 @p304 @p303) :args (@t235)) % 0.37/0.64 (step @p309 :rule cong :premises (@p308) :args (@t236)) % 0.37/0.64 (step @p310 :rule refl :args (@t234)) % 0.37/0.64 (step @p311 :rule cong :premises (@p310 @p309) :args ((= @t234 @t236))) % 0.37/0.64 (step @p312 :rule eq-symm :args (@t236 @t234)) % 0.37/0.64 (step @p313 :rule trans :premises (@p312 @p311)) % 0.37/0.64 (step @p314 :rule trans :premises (@p313 @p302)) % 0.37/0.64 (step @p315 :rule true_elim :premises (@p314)) % 0.37/0.64 (step @p316 :rule quant_var_reordering :args ((= (forall (@list @t29 @t52) @t235) @t236))) % 0.37/0.64 (step @p317 :rule alpha_equiv :args (@t237 (@list @t13 @t56) (@list @t29 @t52))) % 0.37/0.64 (step @p318 :rule trans :premises (@p317 @p316 @p315)) % 0.37/0.64 (step @p319 :rule equiv_elim1 :premises (@p318)) % 0.37/0.64 (step @p320 :rule reordering :premises (@p319) :args ((or @t234 (not @t237)))) % 0.37/0.64 (step @p321 :rule chain_m_resolution :premises (@p320 @p297) :args (@t234 @t231 (@list @t237))) % 0.37/0.64 (step @p322 :rule and_elim :premises (@p271) :args (4)) % 0.37/0.64 (step @p323 :rule alpha_equiv :args (@t238 (@list @t54 @t55) (@list @t75 @t76))) % 0.37/0.64 (step @p324 :rule equiv_elim1 :premises (@p323)) % 0.37/0.64 (step @p325 :rule reordering :premises (@p324) :args ((or @t239 (not @t238)))) % 0.37/0.64 (step @p326 :rule chain_m_resolution :premises (@p325 @p322) :args (@t239 @t231 (@list @t238))) % 0.37/0.64 (step @p327 :rule not_implies_elim2 :premises (@p270)) % 0.37/0.64 (step @p328 :rule not_and :premises (@p327)) % 0.37/0.64 (step @p329 false :rule chain_m_resolution :premises (@p328 @p326 @p321 @p296) :args (false (@list false false false) (@list @t239 @t234 @t227))) % 0.37/0.64 ) % 0.37/0.64 % SZS output end Proof % 0.37/0.64 % cvc5 exiting %------------------------------------------------------------------------------