%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV117+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 : n009.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 0.44s 0.66s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV117+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 % 0.17/0.34 % Computer : n009.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 19:55:14 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.66 % SZS status Theorem % 0.44/0.66 % SZS output start Proof % 0.44/0.66 ( % 0.44/0.66 (declare-sort $$unsorted 0) % 0.44/0.66 (declare-const tptp.pv5 $$unsorted) % 0.44/0.66 (declare-const tptp.q_ds1_filter $$unsorted) % 0.44/0.66 (declare-const tptp.r_ds1_filter $$unsorted) % 0.44/0.66 (declare-const tptp.def $$unsorted) % 0.44/0.66 (declare-const tptp.use $$unsorted) % 0.44/0.66 (declare-const tptp.true Bool) % 0.44/0.66 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.id_ds1_filter $$unsorted) % 0.44/0.66 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.n6 $$unsorted) % 0.44/0.66 (declare-const tptp.n3 $$unsorted) % 0.44/0.66 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.44/0.66 (declare-const tptp.n0 $$unsorted) % 0.44/0.66 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.n1 $$unsorted) % 0.44/0.66 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.n5 $$unsorted) % 0.44/0.66 (declare-const tptp.n999 $$unsorted) % 0.44/0.66 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.pminus_ds1_filter $$unsorted) % 0.44/0.66 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.44/0.66 (declare-const tptp.n4 $$unsorted) % 0.44/0.66 (declare-const tptp.n2 $$unsorted) % 0.44/0.66 (define @t1 () (@var "Y" $$unsorted)) % 0.44/0.66 (define @t2 () (@var "X" $$unsorted)) % 0.44/0.66 (define @t3 () (= @t2 @t1)) % 0.44/0.66 (define @t4 () (tptp.gt @t1 @t2)) % 0.44/0.66 (define @t5 () (tptp.gt @t2 @t1)) % 0.44/0.66 (define @t6 () (@list @t2 @t1)) % 0.44/0.66 (define @t7 () (@var "Z" $$unsorted)) % 0.44/0.66 (define @t8 () (@list @t2 @t1 @t7)) % 0.44/0.66 (define @t9 () (@list @t2)) % 0.44/0.66 (define @t10 () (tptp.leq @t2 @t1)) % 0.44/0.66 (define @t11 () (tptp.succ @t2)) % 0.44/0.66 (define @t12 () (tptp.succ @t1)) % 0.44/0.66 (define @t13 () (@var "C" $$unsorted)) % 0.44/0.66 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.44/0.66 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.44/0.66 (define @t16 () (@list @t2 @t13)) % 0.44/0.66 (define @t17 () (@var "Val" $$unsorted)) % 0.44/0.66 (define @t18 () (@var "I" $$unsorted)) % 0.44/0.66 (define @t19 () (@var "U" $$unsorted)) % 0.44/0.66 (define @t20 () (@var "L" $$unsorted)) % 0.44/0.66 (define @t21 () (tptp.leq @t18 @t19)) % 0.44/0.66 (define @t22 () (@var "J" $$unsorted)) % 0.44/0.66 (define @t23 () (@var "U2" $$unsorted)) % 0.44/0.66 (define @t24 () (@var "L2" $$unsorted)) % 0.44/0.66 (define @t25 () (@var "U1" $$unsorted)) % 0.44/0.66 (define @t26 () (@var "L1" $$unsorted)) % 0.44/0.66 (define @t27 () (@var "A" $$unsorted)) % 0.44/0.66 (define @t28 () (tptp.trans @t27)) % 0.44/0.66 (define @t29 () (@var "N" $$unsorted)) % 0.44/0.66 (define @t30 () (tptp.leq @t22 @t29)) % 0.44/0.66 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.44/0.66 (define @t32 () (tptp.leq @t18 @t29)) % 0.44/0.66 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.44/0.66 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.44/0.66 (define @t35 () (@list @t18 @t22)) % 0.44/0.66 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.44/0.66 (define @t37 () (@list @t27 @t29)) % 0.44/0.66 (define @t38 () (tptp.inv @t27)) % 0.44/0.66 (define @t39 () (@var "VAL" $$unsorted)) % 0.44/0.66 (define @t40 () (@var "K" $$unsorted)) % 0.44/0.66 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.44/0.66 (define @t42 () (tptp.leq tptp.n0 @t40)) % 0.44/0.66 (define @t43 () (@var "B" $$unsorted)) % 0.44/0.66 (define @t44 () (tptp.tptp_madd @t27 @t43)) % 0.44/0.66 (define @t45 () (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))) % 0.44/0.66 (define @t46 () (forall @t35 (=> @t34 @t45))) % 0.44/0.66 (define @t47 () (and @t36 @t46)) % 0.44/0.66 (define @t48 () (@list @t27 @t43 @t29)) % 0.44/0.66 (define @t49 () (tptp.tptp_msub @t27 @t43)) % 0.44/0.66 (define @t50 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t43 @t28))) % 0.44/0.66 (define @t51 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t50 @t18 @t22) (tptp.a_select3 @t50 @t22 @t18))))) % 0.44/0.66 (define @t52 () (@var "M" $$unsorted)) % 0.44/0.66 (define @t53 () (and @t33 (tptp.leq @t18 @t52) @t31 (tptp.leq @t22 @t52))) % 0.44/0.66 (define @t54 () (@var "E" $$unsorted)) % 0.44/0.66 (define @t55 () (@var "F" $$unsorted)) % 0.44/0.66 (define @t56 () (@var "D" $$unsorted)) % 0.44/0.66 (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))))) % 0.44/0.66 (define @t58 () (@var "Body" $$unsorted)) % 0.44/0.66 (define @t59 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t58)) % 0.44/0.66 (define @t60 () (@list @t58)) % 0.44/0.66 (define @t61 () (tptp.plus tptp.n1 @t2)) % 0.44/0.66 (define @t62 () (forall @t9 (= @t61 @t11))) % 0.44/0.66 (define @t63 () (tptp.succ @t11)) % 0.44/0.66 (define @t64 () (tptp.succ @t63)) % 0.44/0.66 (define @t65 () (tptp.succ @t64)) % 0.44/0.66 (define @t66 () (tptp.succ @t65)) % 0.44/0.66 (define @t67 () (tptp.pred @t2)) % 0.44/0.66 (define @t68 () (tptp.pred @t11)) % 0.44/0.66 (define @t69 () (forall @t9 (= @t68 @t2))) % 0.44/0.66 (define @t70 () (@var "V" $$unsorted)) % 0.44/0.66 (define @t71 () (tptp.tptp_update3 @t2 @t19 @t70 @t39)) % 0.44/0.66 (define @t72 () (@var "VAL2" $$unsorted)) % 0.44/0.66 (define @t73 () (not (= @t18 @t19))) % 0.44/0.66 (define @t74 () (@var "J0" $$unsorted)) % 0.44/0.66 (define @t75 () (@var "I0" $$unsorted)) % 0.44/0.66 (define @t76 () (tptp.leq @t75 @t19)) % 0.44/0.66 (define @t77 () (tptp.leq tptp.n0 @t75)) % 0.44/0.66 (define @t78 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.44/0.66 (define @t79 () (@var "O" $$unsorted)) % 0.44/0.66 (define @t80 () (@var "P" $$unsorted)) % 0.44/0.66 (define @t81 () (= (tptp.a_select3 tptp.id_ds1_filter @t79 @t80) (tptp.a_select3 tptp.id_ds1_filter @t80 @t79))) % 0.44/0.66 (define @t82 () (tptp.minus tptp.n6 tptp.n1)) % 0.44/0.66 (define @t83 () (tptp.leq @t80 @t82)) % 0.44/0.66 (define @t84 () (tptp.leq tptp.n0 @t80)) % 0.44/0.66 (define @t85 () (and @t84 @t83)) % 0.44/0.66 (define @t86 () (@list @t80)) % 0.44/0.66 (define @t87 () (forall @t86 (=> @t85 @t81))) % 0.44/0.66 (define @t88 () (tptp.leq @t79 @t82)) % 0.44/0.66 (define @t89 () (tptp.leq tptp.n0 @t79)) % 0.44/0.66 (define @t90 () (and @t89 @t88)) % 0.44/0.66 (define @t91 () (=> @t90 @t87)) % 0.44/0.66 (define @t92 () (@list @t79)) % 0.44/0.66 (define @t93 () (forall @t92 @t91)) % 0.44/0.66 (define @t94 () (tptp.a_select3 tptp.pminus_ds1_filter @t29 @t52)) % 0.44/0.66 (define @t95 () (tptp.a_select3 tptp.pminus_ds1_filter @t52 @t29)) % 0.44/0.66 (define @t96 () (= @t95 @t94)) % 0.44/0.66 (define @t97 () (tptp.leq @t29 @t82)) % 0.44/0.66 (define @t98 () (tptp.leq @t52 @t82)) % 0.44/0.66 (define @t99 () (tptp.leq tptp.n0 @t29)) % 0.44/0.66 (define @t100 () (tptp.leq tptp.n0 @t52)) % 0.44/0.66 (define @t101 () (and @t100 @t99 @t98 @t97)) % 0.44/0.66 (define @t102 () (@list @t52 @t29)) % 0.44/0.66 (define @t103 () (forall @t102 (=> @t101 @t96))) % 0.44/0.66 (define @t104 () (tptp.a_select3 tptp.r_ds1_filter @t20 @t40)) % 0.44/0.66 (define @t105 () (tptp.a_select3 tptp.r_ds1_filter @t40 @t20)) % 0.44/0.66 (define @t106 () (= @t105 @t104)) % 0.44/0.66 (define @t107 () (tptp.minus tptp.n3 tptp.n1)) % 0.44/0.66 (define @t108 () (tptp.leq @t20 @t107)) % 0.44/0.66 (define @t109 () (tptp.leq @t40 @t107)) % 0.44/0.66 (define @t110 () (tptp.leq tptp.n0 @t20)) % 0.44/0.66 (define @t111 () (and @t42 @t110 @t109 @t108)) % 0.44/0.66 (define @t112 () (@list @t40 @t20)) % 0.44/0.66 (define @t113 () (forall @t112 (=> @t111 @t106))) % 0.44/0.66 (define @t114 () (= (tptp.a_select3 tptp.q_ds1_filter @t18 @t22) (tptp.a_select3 tptp.q_ds1_filter @t22 @t18))) % 0.44/0.66 (define @t115 () (tptp.leq @t22 @t82)) % 0.44/0.66 (define @t116 () (tptp.leq @t18 @t82)) % 0.44/0.66 (define @t117 () (and @t33 @t31 @t116 @t115)) % 0.44/0.66 (define @t118 () (forall @t35 (=> @t117 @t114))) % 0.44/0.66 (define @t119 () (tptp.leq tptp.pv5 (tptp.minus tptp.n999 tptp.n1))) % 0.44/0.66 (define @t120 () (tptp.leq tptp.n0 tptp.pv5)) % 0.44/0.66 (define @t121 () (and @t120 @t119 @t118 @t113 @t103 @t93)) % 0.44/0.66 (define @t122 () (@var "G" $$unsorted)) % 0.44/0.66 (define @t123 () (@var "H" $$unsorted)) % 0.44/0.66 (define @t124 () (= (tptp.a_select3 tptp.id_ds1_filter @t122 @t123) (tptp.a_select3 tptp.id_ds1_filter @t123 @t122))) % 0.44/0.66 (define @t125 () (tptp.leq @t123 @t82)) % 0.44/0.66 (define @t126 () (tptp.leq tptp.n0 @t123)) % 0.44/0.66 (define @t127 () (and @t126 @t125)) % 0.44/0.66 (define @t128 () (@list @t123)) % 0.44/0.66 (define @t129 () (forall @t128 (=> @t127 @t124))) % 0.44/0.66 (define @t130 () (tptp.plus tptp.n1 @t82)) % 0.44/0.66 (define @t131 () (tptp.minus @t130 tptp.n1)) % 0.44/0.66 (define @t132 () (tptp.leq @t122 @t131)) % 0.44/0.66 (define @t133 () (tptp.leq tptp.n0 @t122)) % 0.44/0.66 (define @t134 () (and @t133 @t132)) % 0.44/0.66 (define @t135 () (=> @t134 @t129)) % 0.44/0.66 (define @t136 () (@list @t122)) % 0.44/0.66 (define @t137 () (forall @t136 @t135)) % 0.44/0.66 (define @t138 () (= (tptp.a_select3 tptp.pminus_ds1_filter @t54 @t55) (tptp.a_select3 tptp.pminus_ds1_filter @t55 @t54))) % 0.44/0.66 (define @t139 () (tptp.leq @t55 @t82)) % 0.44/0.66 (define @t140 () (tptp.leq @t54 @t82)) % 0.44/0.66 (define @t141 () (tptp.leq tptp.n0 @t55)) % 0.44/0.66 (define @t142 () (tptp.leq tptp.n0 @t54)) % 0.44/0.66 (define @t143 () (and @t142 @t141 @t140 @t139)) % 0.44/0.66 (define @t144 () (@list @t54 @t55)) % 0.44/0.66 (define @t145 () (forall @t144 (=> @t143 @t138))) % 0.44/0.66 (define @t146 () (= (tptp.a_select3 tptp.r_ds1_filter @t13 @t56) (tptp.a_select3 tptp.r_ds1_filter @t56 @t13))) % 0.44/0.66 (define @t147 () (tptp.leq @t56 @t107)) % 0.44/0.66 (define @t148 () (tptp.leq @t13 @t107)) % 0.44/0.66 (define @t149 () (tptp.leq tptp.n0 @t56)) % 0.44/0.66 (define @t150 () (tptp.leq tptp.n0 @t13)) % 0.44/0.66 (define @t151 () (and @t150 @t149 @t148 @t147)) % 0.44/0.66 (define @t152 () (@list @t13 @t56)) % 0.44/0.66 (define @t153 () (forall @t152 (=> @t151 @t146))) % 0.44/0.66 (define @t154 () (= (tptp.a_select3 tptp.q_ds1_filter @t27 @t43) (tptp.a_select3 tptp.q_ds1_filter @t43 @t27))) % 0.44/0.66 (define @t155 () (tptp.leq @t43 @t82)) % 0.44/0.66 (define @t156 () (tptp.leq @t27 @t82)) % 0.44/0.66 (define @t157 () (tptp.leq tptp.n0 @t43)) % 0.44/0.66 (define @t158 () (tptp.leq tptp.n0 @t27)) % 0.44/0.66 (define @t159 () (and @t158 @t157 @t156 @t155)) % 0.44/0.66 (define @t160 () (@list @t27 @t43)) % 0.44/0.66 (define @t161 () (forall @t160 (=> @t159 @t154))) % 0.44/0.66 (define @t162 () (and @t120 @t119 @t161 @t153 @t145 @t137)) % 0.44/0.66 (define @t163 () (=> @t162 @t121)) % 0.44/0.66 (define @t164 () (not @t163)) % 0.44/0.66 (define @t165 () (= @t2 tptp.n4)) % 0.44/0.66 (define @t166 () (= @t2 tptp.n3)) % 0.44/0.66 (define @t167 () (= @t2 tptp.n2)) % 0.44/0.66 (define @t168 () (= @t2 tptp.n1)) % 0.44/0.66 (define @t169 () (= @t2 tptp.n0)) % 0.44/0.66 (define @t170 () (= @t2 tptp.n5)) % 0.44/0.66 (define @t171 () (tptp.succ tptp.n0)) % 0.44/0.66 (define @t172 () (tptp.succ @t171)) % 0.44/0.66 (define @t173 () (tptp.succ @t172)) % 0.44/0.66 (define @t174 () (tptp.succ @t173)) % 0.44/0.66 (define @t175 () (tptp.succ @t174)) % 0.44/0.66 (define @t176 () (tptp.succ @t175)) % 0.44/0.66 (define @t177 () (@var "BOUND_VARIABLE_8552" $$unsorted)) % 0.44/0.66 (define @t178 () (= (tptp.a_select3 tptp.id_ds1_filter @t79 @t177) (tptp.a_select3 tptp.id_ds1_filter @t177 @t79))) % 0.44/0.66 (define @t179 () (not (tptp.leq @t177 @t82))) % 0.44/0.66 (define @t180 () (not (tptp.leq tptp.n0 @t177))) % 0.44/0.66 (define @t181 () (not @t88)) % 0.44/0.66 (define @t182 () (not @t89)) % 0.44/0.66 (define @t183 () (or @t182 @t181 @t180 @t179 @t178)) % 0.44/0.66 (define @t184 () (or @t180 @t179 @t178)) % 0.44/0.66 (define @t185 () (or @t182 @t181 @t184)) % 0.44/0.66 (define @t186 () (@list @t79 @t177)) % 0.44/0.66 (define @t187 () (forall @t186 @t185)) % 0.44/0.66 (define @t188 () (@list @t177)) % 0.44/0.66 (define @t189 () (forall @t188 @t185)) % 0.44/0.66 (define @t190 () (forall @t188 @t184)) % 0.44/0.66 (define @t191 () (or @t182 @t181 @t190)) % 0.44/0.66 (define @t192 () (not @t83)) % 0.44/0.66 (define @t193 () (not @t84)) % 0.44/0.66 (define @t194 () (or @t193 @t192 @t81)) % 0.44/0.66 (define @t195 () (forall @t86 @t194)) % 0.44/0.66 (define @t196 () (or @t182 @t181 @t195)) % 0.44/0.66 (define @t197 () (not @t97)) % 0.44/0.66 (define @t198 () (not @t98)) % 0.44/0.66 (define @t199 () (not @t99)) % 0.44/0.66 (define @t200 () (not @t100)) % 0.44/0.66 (define @t201 () (or @t200 @t199 @t198 @t197 @t96)) % 0.44/0.66 (define @t202 () (or @t200 @t199 @t198 @t197)) % 0.44/0.66 (define @t203 () (not @t108)) % 0.44/0.66 (define @t204 () (not @t109)) % 0.44/0.66 (define @t205 () (not @t110)) % 0.44/0.66 (define @t206 () (not @t42)) % 0.44/0.66 (define @t207 () (or @t206 @t205 @t204 @t203 @t106)) % 0.44/0.66 (define @t208 () (or @t206 @t205 @t204 @t203)) % 0.44/0.66 (define @t209 () (not @t115)) % 0.44/0.66 (define @t210 () (not @t116)) % 0.44/0.66 (define @t211 () (not @t31)) % 0.44/0.66 (define @t212 () (not @t33)) % 0.44/0.66 (define @t213 () (or @t212 @t211 @t210 @t209 @t114)) % 0.44/0.66 (define @t214 () (or @t212 @t211 @t210 @t209)) % 0.44/0.66 (define @t215 () (@var "BOUND_VARIABLE_8501" $$unsorted)) % 0.44/0.66 (define @t216 () (= (tptp.a_select3 tptp.id_ds1_filter @t122 @t215) (tptp.a_select3 tptp.id_ds1_filter @t215 @t122))) % 0.44/0.66 (define @t217 () (not (tptp.leq @t215 @t82))) % 0.44/0.66 (define @t218 () (not (tptp.leq tptp.n0 @t215))) % 0.44/0.66 (define @t219 () (not @t132)) % 0.44/0.66 (define @t220 () (not @t133)) % 0.44/0.66 (define @t221 () (or @t220 @t219 @t218 @t217 @t216)) % 0.44/0.66 (define @t222 () (or @t218 @t217 @t216)) % 0.44/0.66 (define @t223 () (or @t220 @t219 @t222)) % 0.44/0.66 (define @t224 () (@list @t122 @t215)) % 0.44/0.66 (define @t225 () (forall @t224 @t223)) % 0.44/0.66 (define @t226 () (@list @t215)) % 0.44/0.66 (define @t227 () (forall @t226 @t223)) % 0.44/0.66 (define @t228 () (forall @t226 @t222)) % 0.44/0.66 (define @t229 () (or @t220 @t219 @t228)) % 0.44/0.66 (define @t230 () (not @t125)) % 0.44/0.66 (define @t231 () (not @t126)) % 0.44/0.66 (define @t232 () (or @t231 @t230 @t124)) % 0.44/0.66 (define @t233 () (forall @t128 @t232)) % 0.44/0.66 (define @t234 () (or @t220 @t219 @t233)) % 0.44/0.66 (define @t235 () (not @t139)) % 0.44/0.66 (define @t236 () (not @t140)) % 0.44/0.66 (define @t237 () (not @t141)) % 0.44/0.66 (define @t238 () (not @t142)) % 0.44/0.66 (define @t239 () (or @t238 @t237 @t236 @t235 @t138)) % 0.44/0.66 (define @t240 () (or @t238 @t237 @t236 @t235)) % 0.44/0.66 (define @t241 () (not @t147)) % 0.44/0.66 (define @t242 () (not @t148)) % 0.44/0.66 (define @t243 () (not @t149)) % 0.44/0.66 (define @t244 () (not @t150)) % 0.44/0.66 (define @t245 () (or @t244 @t243 @t242 @t241 @t146)) % 0.44/0.66 (define @t246 () (or @t244 @t243 @t242 @t241)) % 0.44/0.66 (define @t247 () (not @t155)) % 0.44/0.66 (define @t248 () (not @t156)) % 0.44/0.66 (define @t249 () (not @t157)) % 0.44/0.66 (define @t250 () (not @t158)) % 0.44/0.66 (define @t251 () (or @t250 @t249 @t248 @t247 @t154)) % 0.44/0.66 (define @t252 () (or @t250 @t249 @t248 @t247)) % 0.44/0.66 (define @t253 () (or @t199 @t200 @t197 @t198 @t96)) % 0.44/0.66 (define @t254 () (forall @t102 @t253)) % 0.44/0.66 (define @t255 () (forall @t102 @t201)) % 0.44/0.66 (define @t256 () (or @t199 @t200 @t197 @t198 (= @t94 @t95))) % 0.44/0.66 (define @t257 () (forall @t102 @t256)) % 0.44/0.66 (define @t258 () (forall @t144 @t239)) % 0.44/0.66 (define @t259 () (@list false)) % 0.44/0.66 (define @t260 () (or @t205 @t206 @t203 @t204 @t106)) % 0.44/0.66 (define @t261 () (forall @t112 @t260)) % 0.44/0.66 (define @t262 () (forall @t112 @t207)) % 0.44/0.66 (define @t263 () (or @t205 @t206 @t203 @t204 (= @t104 @t105))) % 0.44/0.66 (define @t264 () (forall @t112 @t263)) % 0.44/0.66 (define @t265 () (forall @t152 @t245)) % 0.44/0.66 (define @t266 () (forall @t160 @t251)) % 0.44/0.66 (define @t267 () (forall @t35 @t213)) % 0.44/0.66 (define @t268 () (forall @t186 @t183)) % 0.44/0.66 (define @t269 () (@quantifiers_skolemize @t268 1)) % 0.44/0.66 (define @t270 () (tptp.leq @t269 @t82)) % 0.44/0.66 (define @t271 () (@quantifiers_skolemize @t268 0)) % 0.44/0.66 (define @t272 () (tptp.a_select3 tptp.id_ds1_filter @t269 @t271)) % 0.44/0.66 (define @t273 () (tptp.a_select3 tptp.id_ds1_filter @t271 @t269)) % 0.44/0.66 (define @t274 () (= @t273 @t272)) % 0.44/0.66 (define @t275 () (not @t270)) % 0.44/0.66 (define @t276 () (tptp.leq tptp.n0 @t269)) % 0.44/0.66 (define @t277 () (not @t276)) % 0.44/0.66 (define @t278 () (tptp.leq @t271 @t82)) % 0.44/0.66 (define @t279 () (not @t278)) % 0.44/0.66 (define @t280 () (tptp.leq tptp.n0 @t271)) % 0.44/0.66 (define @t281 () (not @t280)) % 0.44/0.66 (define @t282 () (or @t281 @t279 @t277 @t275 @t274)) % 0.44/0.66 (define @t283 () (@list true)) % 0.44/0.66 (define @t284 () (@list @t282)) % 0.44/0.66 (define @t285 () (@list @t175)) % 0.44/0.66 (define @t286 () (tptp.leq @t269 @t131)) % 0.44/0.66 (define @t287 () (not @t286)) % 0.44/0.66 (define @t288 () (or @t277 @t287 @t281 @t279 (= @t272 @t273))) % 0.44/0.66 (define @t289 () (forall @t224 @t221)) % 0.44/0.66 (define @t290 () (or @t277 @t287 @t281 @t279 @t274)) % 0.44/0.66 (define @t291 () (= tptp.n5 @t175)) % 0.44/0.66 (define @t292 () (= tptp.n6 @t176)) % 0.44/0.66 (define @t293 () (= @t176 (tptp.plus tptp.n1 @t175))) % 0.44/0.66 (define @t294 () (= @t82 (tptp.pred tptp.n6))) % 0.44/0.66 (define @t295 () (tptp.pred @t176)) % 0.44/0.66 (define @t296 () (= @t175 @t295)) % 0.44/0.66 (define @t297 () (and @t291 @t292 @t270 @t293 @t294 @t296)) % 0.44/0.66 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.44/0.66 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.44/0.66 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.44/0.66 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.44/0.66 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.44/0.66 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.44/0.66 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.44/0.66 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.44/0.66 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.44/0.66 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.44/0.66 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.44/0.66 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.44/0.66 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.44/0.66 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.44/0.66 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.44/0.66 (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)))) % 0.44/0.66 (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)))) % 0.44/0.66 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.44/0.66 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.44/0.66 (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))))))) % 0.44/0.66 (assume @p21 (forall @t48 (=> @t47 (forall @t35 (=> @t34 (= (tptp.a_select3 @t44 @t18 @t22) (tptp.a_select3 @t44 @t22 @t18))))))) % 0.44/0.66 (assume @p22 (forall @t48 (=> @t47 (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))))) % 0.44/0.66 (assume @p23 (forall @t48 (=> @t46 @t51))) % 0.44/0.66 (assume @p24 (forall (@list @t27 @t43 @t29 @t52) (=> (forall @t35 (=> @t53 @t45)) @t51))) % 0.44/0.66 (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))))))) % 0.44/0.66 (assume @p26 (forall @t60 (= @t59 tptp.n0))) % 0.44/0.66 (assume @p27 (forall @t60 (= tptp.tptp_float_0_0 @t59))) % 0.44/0.66 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.44/0.66 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.44/0.66 (assume @p30 @t62) % 0.44/0.66 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t63))) % 0.44/0.66 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t63))) % 0.44/0.66 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t64))) % 0.44/0.66 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t64))) % 0.44/0.66 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t65))) % 0.44/0.66 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t65))) % 0.44/0.66 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t66))) % 0.44/0.66 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t66))) % 0.44/0.66 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t67))) % 0.44/0.66 (assume @p40 @t69) % 0.44/0.66 (assume @p41 (forall @t9 (= (tptp.succ @t67) @t2))) % 0.44/0.66 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.44/0.66 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.44/0.66 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.44/0.66 (assume @p45 (forall (@list @t2 @t19 @t70 @t39) (= (tptp.a_select3 @t71 @t19 @t70) @t39))) % 0.44/0.66 (assume @p46 (forall (@list @t18 @t22 @t19 @t70 @t2 @t39 @t72) (=> (and @t73 (= @t22 @t70) (= (tptp.a_select3 @t2 @t19 @t70) @t39)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t18 @t22 @t72) @t19 @t70) @t39)))) % 0.44/0.66 (assume @p47 (forall (@list @t18 @t22 @t19 @t70 @t2 @t39) (=> (and (forall (@list @t75 @t74) (=> (and @t77 (tptp.leq tptp.n0 @t74) @t76 (tptp.leq @t74 @t70)) (= (tptp.a_select3 @t2 @t75 @t74) @t39))) @t33 @t21 @t31 (tptp.leq @t22 @t70)) (= (tptp.a_select3 @t71 @t18 @t22) @t39)))) % 0.44/0.66 (assume @p48 (forall (@list @t2 @t19 @t39) (= (tptp.a_select2 @t78 @t19) @t39))) % 0.44/0.66 (assume @p49 (forall (@list @t18 @t19 @t2 @t39 @t72) (=> (and @t73 (= (tptp.a_select2 @t2 @t19) @t39)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t18 @t72) @t19) @t39)))) % 0.44/0.66 (assume @p50 (forall (@list @t18 @t19 @t2 @t39) (=> (and (forall (@list @t75) (=> (and @t77 @t76) (= (tptp.a_select2 @t2 @t75) @t39))) @t33 @t21) (= (tptp.a_select2 @t78 @t18) @t39)))) % 0.44/0.66 (assume @p51 tptp.true) % 0.44/0.66 (assume @p52 (not (= tptp.def tptp.use))) % 0.44/0.66 (assume @p53 @t164) % 0.44/0.66 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.44/0.66 (assume @p55 (tptp.gt tptp.n6 tptp.n4)) % 0.44/0.66 (assume @p56 (tptp.gt tptp.n999 tptp.n4)) % 0.44/0.66 (assume @p57 (tptp.gt tptp.n6 tptp.n5)) % 0.44/0.66 (assume @p58 (tptp.gt tptp.n999 tptp.n5)) % 0.44/0.66 (assume @p59 (tptp.gt tptp.n999 tptp.n6)) % 0.44/0.66 (assume @p60 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.44/0.66 (assume @p61 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.44/0.66 (assume @p62 (tptp.gt tptp.n6 tptp.tptp_minus_1)) % 0.44/0.66 (assume @p63 (tptp.gt tptp.n999 tptp.tptp_minus_1)) % 0.44/0.66 (assume @p64 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.44/0.66 (assume @p65 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.44/0.66 (assume @p66 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.44/0.66 (assume @p67 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.44/0.66 (assume @p68 (tptp.gt tptp.n4 tptp.n0)) % 0.44/0.66 (assume @p69 (tptp.gt tptp.n5 tptp.n0)) % 0.44/0.66 (assume @p70 (tptp.gt tptp.n6 tptp.n0)) % 0.44/0.66 (assume @p71 (tptp.gt tptp.n999 tptp.n0)) % 0.44/0.66 (assume @p72 (tptp.gt tptp.n1 tptp.n0)) % 0.44/0.66 (assume @p73 (tptp.gt tptp.n2 tptp.n0)) % 0.44/0.66 (assume @p74 (tptp.gt tptp.n3 tptp.n0)) % 0.44/0.66 (assume @p75 (tptp.gt tptp.n4 tptp.n1)) % 0.44/0.66 (assume @p76 (tptp.gt tptp.n5 tptp.n1)) % 0.44/0.66 (assume @p77 (tptp.gt tptp.n6 tptp.n1)) % 0.44/0.66 (assume @p78 (tptp.gt tptp.n999 tptp.n1)) % 0.44/0.66 (assume @p79 (tptp.gt tptp.n2 tptp.n1)) % 0.44/0.66 (assume @p80 (tptp.gt tptp.n3 tptp.n1)) % 0.44/0.66 (assume @p81 (tptp.gt tptp.n4 tptp.n2)) % 0.44/0.66 (assume @p82 (tptp.gt tptp.n5 tptp.n2)) % 0.44/0.66 (assume @p83 (tptp.gt tptp.n6 tptp.n2)) % 0.44/0.66 (assume @p84 (tptp.gt tptp.n999 tptp.n2)) % 0.44/0.66 (assume @p85 (tptp.gt tptp.n3 tptp.n2)) % 0.44/0.66 (assume @p86 (tptp.gt tptp.n4 tptp.n3)) % 0.44/0.66 (assume @p87 (tptp.gt tptp.n5 tptp.n3)) % 0.44/0.66 (assume @p88 (tptp.gt tptp.n6 tptp.n3)) % 0.44/0.66 (assume @p89 (tptp.gt tptp.n999 tptp.n3)) % 0.44/0.66 (assume @p90 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t169 @t168 @t167 @t166 @t165)))) % 0.44/0.66 (assume @p91 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t169 @t168 @t167 @t166 @t165 @t170)))) % 0.44/0.66 (assume @p92 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n6)) (or @t169 @t168 @t167 @t166 @t165 @t170 (= @t2 tptp.n6))))) % 0.44/0.66 (assume @p93 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t169))) % 0.44/0.66 (assume @p94 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t169 @t168)))) % 0.44/0.66 (assume @p95 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t169 @t168 @t167)))) % 0.44/0.66 (assume @p96 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t169 @t168 @t167 @t166)))) % 0.44/0.66 (assume @p97 (= @t174 tptp.n4)) % 0.44/0.66 (assume @p98 (= @t175 tptp.n5)) % 0.44/0.66 (assume @p99 (= @t176 tptp.n6)) % 0.44/0.66 (assume @p100 (= @t171 tptp.n1)) % 0.44/0.66 (assume @p101 (= @t172 tptp.n2)) % 0.44/0.66 (assume @p102 (= @t173 tptp.n3)) % 0.44/0.66 (assume @p103 true) % 0.44/0.66 (step @p104 :rule symm :premises (@p98)) % 0.44/0.66 (step @p105 :rule symm :premises (@p99)) % 0.44/0.66 (step @p106 :rule aci_norm :args ((= @t185 @t183))) % 0.44/0.66 (step @p107 :rule cong :premises (@p106) :args (@t187)) % 0.44/0.66 (step @p108 :rule quant-merge-prenex :args ((= (forall @t92 @t189) @t187))) % 0.44/0.66 (step @p109 :rule alpha_equiv :args (@t190 (@list @t177) (@list @t80))) % 0.44/0.66 (step @p110 :rule refl :args (@t181)) % 0.44/0.66 (step @p111 :rule refl :args (@t182)) % 0.44/0.66 (step @p112 :rule nary_cong :premises (@p111 @p110 @p109) :args (@t191)) % 0.44/0.66 (step @p113 :rule quant-miniscope-or :args ((= @t189 @t191))) % 0.44/0.66 (step @p114 :rule trans :premises (@p113 @p112)) % 0.44/0.66 (step @p115 :rule symm :premises (@p114)) % 0.44/0.66 (step @p116 :rule cong :premises (@p115) :args ((forall @t92 @t196))) % 0.44/0.66 (step @p117 :rule trans :premises (@p116 @p108)) % 0.44/0.66 (step @p118 :rule trans :premises (@p117 @p107)) % 0.44/0.66 (step @p119 :rule aci_norm :args ((= (or (or @t182 @t181) @t195) @t196))) % 0.44/0.66 (step @p120 :rule refl :args (@t195)) % 0.44/0.66 (step @p121 :rule bool-and-de-morgan :args (@t89 @t88 true)) % 0.44/0.66 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or (not @t90) @t195))) % 0.44/0.66 (step @p123 :rule trans :premises (@p122 @p119)) % 0.44/0.66 (step @p124 :rule bool-impl-elim :args (@t90 @t195)) % 0.44/0.66 (step @p125 :rule trans :premises (@p124 @p123)) % 0.44/0.66 (step @p126 :rule cong :premises (@p125) :args ((forall @t92 (=> @t90 @t195)))) % 0.44/0.66 (step @p127 :rule trans :premises (@p126 @p118)) % 0.44/0.66 (step @p128 :rule aci_norm :args ((= (or (or @t193 @t192) @t81) @t194))) % 0.44/0.66 (step @p129 :rule refl :args (@t81)) % 0.44/0.66 (step @p130 :rule bool-and-de-morgan :args (@t84 @t83 true)) % 0.44/0.66 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or (not @t85) @t81))) % 0.44/0.66 (step @p132 :rule trans :premises (@p131 @p128)) % 0.44/0.66 (step @p133 :rule bool-impl-elim :args (@t85 @t81)) % 0.44/0.66 (step @p134 :rule trans :premises (@p133 @p132)) % 0.44/0.66 (step @p135 :rule cong :premises (@p134) :args (@t87)) % 0.44/0.66 (step @p136 :rule refl :args (@t90)) % 0.44/0.66 (step @p137 :rule cong :premises (@p136 @p135) :args (@t91)) % 0.44/0.66 (step @p138 :rule cong :premises (@p137) :args (@t93)) % 0.44/0.66 (step @p139 :rule trans :premises (@p138 @p127)) % 0.44/0.66 (step @p140 :rule aci_norm :args ((= (or @t202 @t96) @t201))) % 0.44/0.66 (step @p141 :rule refl :args (@t96)) % 0.44/0.66 (step @p142 :rule aci_norm :args ((= (or @t200 (or @t199 (or @t198 @t197))) @t202))) % 0.44/0.66 (step @p143 :rule bool-and-de-morgan :args (@t98 @t97 true)) % 0.44/0.66 (step @p144 :rule refl :args (@t199)) % 0.44/0.66 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or @t199 (not (and @t98 @t97))))) % 0.44/0.66 (step @p146 :rule bool-and-de-morgan :args (@t99 @t98 (and @t97))) % 0.44/0.66 (step @p147 :rule trans :premises (@p146 @p145)) % 0.44/0.66 (step @p148 :rule refl :args (@t200)) % 0.44/0.66 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or @t200 (not (and @t99 @t98 @t97))))) % 0.44/0.66 (step @p150 :rule bool-and-de-morgan :args (@t100 @t99 (and @t98 @t97))) % 0.44/0.66 (step @p151 :rule trans :premises (@p150 @p149)) % 0.44/0.66 (step @p152 :rule trans :premises (@p151 @p142)) % 0.44/0.66 (step @p153 :rule nary_cong :premises (@p152 @p141) :args ((or (not @t101) @t96))) % 0.44/0.66 (step @p154 :rule trans :premises (@p153 @p140)) % 0.44/0.66 (step @p155 :rule bool-impl-elim :args (@t101 @t96)) % 0.44/0.66 (step @p156 :rule trans :premises (@p155 @p154)) % 0.44/0.66 (step @p157 :rule cong :premises (@p156) :args (@t103)) % 0.44/0.66 (step @p158 :rule aci_norm :args ((= (or @t208 @t106) @t207))) % 0.44/0.66 (step @p159 :rule refl :args (@t106)) % 0.44/0.66 (step @p160 :rule aci_norm :args ((= (or @t206 (or @t205 (or @t204 @t203))) @t208))) % 0.44/0.66 (step @p161 :rule bool-and-de-morgan :args (@t109 @t108 true)) % 0.44/0.66 (step @p162 :rule refl :args (@t205)) % 0.44/0.66 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t205 (not (and @t109 @t108))))) % 0.44/0.66 (step @p164 :rule bool-and-de-morgan :args (@t110 @t109 (and @t108))) % 0.44/0.66 (step @p165 :rule trans :premises (@p164 @p163)) % 0.44/0.66 (step @p166 :rule refl :args (@t206)) % 0.44/0.66 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or @t206 (not (and @t110 @t109 @t108))))) % 0.44/0.66 (step @p168 :rule bool-and-de-morgan :args (@t42 @t110 (and @t109 @t108))) % 0.44/0.66 (step @p169 :rule trans :premises (@p168 @p167)) % 0.44/0.66 (step @p170 :rule trans :premises (@p169 @p160)) % 0.44/0.66 (step @p171 :rule nary_cong :premises (@p170 @p159) :args ((or (not @t111) @t106))) % 0.44/0.66 (step @p172 :rule trans :premises (@p171 @p158)) % 0.44/0.66 (step @p173 :rule bool-impl-elim :args (@t111 @t106)) % 0.44/0.66 (step @p174 :rule trans :premises (@p173 @p172)) % 0.44/0.66 (step @p175 :rule cong :premises (@p174) :args (@t113)) % 0.44/0.66 (step @p176 :rule aci_norm :args ((= (or @t214 @t114) @t213))) % 0.44/0.66 (step @p177 :rule refl :args (@t114)) % 0.44/0.66 (step @p178 :rule aci_norm :args ((= (or @t212 (or @t211 (or @t210 @t209))) @t214))) % 0.44/0.66 (step @p179 :rule bool-and-de-morgan :args (@t116 @t115 true)) % 0.44/0.66 (step @p180 :rule refl :args (@t211)) % 0.44/0.66 (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or @t211 (not (and @t116 @t115))))) % 0.44/0.66 (step @p182 :rule bool-and-de-morgan :args (@t31 @t116 (and @t115))) % 0.44/0.66 (step @p183 :rule trans :premises (@p182 @p181)) % 0.44/0.66 (step @p184 :rule refl :args (@t212)) % 0.44/0.66 (step @p185 :rule nary_cong :premises (@p184 @p183) :args ((or @t212 (not (and @t31 @t116 @t115))))) % 0.44/0.66 (step @p186 :rule bool-and-de-morgan :args (@t33 @t31 (and @t116 @t115))) % 0.44/0.66 (step @p187 :rule trans :premises (@p186 @p185)) % 0.44/0.66 (step @p188 :rule trans :premises (@p187 @p178)) % 0.44/0.66 (step @p189 :rule nary_cong :premises (@p188 @p177) :args ((or (not @t117) @t114))) % 0.44/0.66 (step @p190 :rule trans :premises (@p189 @p176)) % 0.44/0.66 (step @p191 :rule bool-impl-elim :args (@t117 @t114)) % 0.44/0.66 (step @p192 :rule trans :premises (@p191 @p190)) % 0.44/0.66 (step @p193 :rule cong :premises (@p192) :args (@t118)) % 0.44/0.66 (step @p194 :rule refl :args (@t119)) % 0.44/0.66 (step @p195 :rule refl :args (@t120)) % 0.44/0.66 (step @p196 :rule nary_cong :premises (@p195 @p194 @p193 @p175 @p157 @p139) :args (@t121)) % 0.44/0.66 (step @p197 :rule aci_norm :args ((= @t223 @t221))) % 0.44/0.66 (step @p198 :rule cong :premises (@p197) :args (@t225)) % 0.44/0.66 (step @p199 :rule quant-merge-prenex :args ((= (forall @t136 @t227) @t225))) % 0.44/0.66 (step @p200 :rule alpha_equiv :args (@t228 (@list @t215) (@list @t123))) % 0.44/0.66 (step @p201 :rule refl :args (@t219)) % 0.44/0.66 (step @p202 :rule refl :args (@t220)) % 0.44/0.66 (step @p203 :rule nary_cong :premises (@p202 @p201 @p200) :args (@t229)) % 0.44/0.66 (step @p204 :rule quant-miniscope-or :args ((= @t227 @t229))) % 0.44/0.66 (step @p205 :rule trans :premises (@p204 @p203)) % 0.44/0.66 (step @p206 :rule symm :premises (@p205)) % 0.44/0.66 (step @p207 :rule cong :premises (@p206) :args ((forall @t136 @t234))) % 0.44/0.66 (step @p208 :rule trans :premises (@p207 @p199)) % 0.44/0.66 (step @p209 :rule trans :premises (@p208 @p198)) % 0.44/0.66 (step @p210 :rule aci_norm :args ((= (or (or @t220 @t219) @t233) @t234))) % 0.44/0.66 (step @p211 :rule refl :args (@t233)) % 0.44/0.66 (step @p212 :rule bool-and-de-morgan :args (@t133 @t132 true)) % 0.44/0.66 (step @p213 :rule nary_cong :premises (@p212 @p211) :args ((or (not @t134) @t233))) % 0.44/0.66 (step @p214 :rule trans :premises (@p213 @p210)) % 0.44/0.66 (step @p215 :rule bool-impl-elim :args (@t134 @t233)) % 0.44/0.66 (step @p216 :rule trans :premises (@p215 @p214)) % 0.44/0.66 (step @p217 :rule cong :premises (@p216) :args ((forall @t136 (=> @t134 @t233)))) % 0.44/0.66 (step @p218 :rule trans :premises (@p217 @p209)) % 0.44/0.66 (step @p219 :rule aci_norm :args ((= (or (or @t231 @t230) @t124) @t232))) % 0.44/0.66 (step @p220 :rule refl :args (@t124)) % 0.44/0.66 (step @p221 :rule bool-and-de-morgan :args (@t126 @t125 true)) % 0.44/0.66 (step @p222 :rule nary_cong :premises (@p221 @p220) :args ((or (not @t127) @t124))) % 0.44/0.66 (step @p223 :rule trans :premises (@p222 @p219)) % 0.44/0.66 (step @p224 :rule bool-impl-elim :args (@t127 @t124)) % 0.44/0.66 (step @p225 :rule trans :premises (@p224 @p223)) % 0.44/0.66 (step @p226 :rule cong :premises (@p225) :args (@t129)) % 0.44/0.66 (step @p227 :rule refl :args (@t134)) % 0.44/0.66 (step @p228 :rule cong :premises (@p227 @p226) :args (@t135)) % 0.44/0.66 (step @p229 :rule cong :premises (@p228) :args (@t137)) % 0.44/0.66 (step @p230 :rule trans :premises (@p229 @p218)) % 0.44/0.66 (step @p231 :rule aci_norm :args ((= (or @t240 @t138) @t239))) % 0.44/0.66 (step @p232 :rule refl :args (@t138)) % 0.44/0.66 (step @p233 :rule aci_norm :args ((= (or @t238 (or @t237 (or @t236 @t235))) @t240))) % 0.44/0.66 (step @p234 :rule bool-and-de-morgan :args (@t140 @t139 true)) % 0.44/0.66 (step @p235 :rule refl :args (@t237)) % 0.44/0.66 (step @p236 :rule nary_cong :premises (@p235 @p234) :args ((or @t237 (not (and @t140 @t139))))) % 0.44/0.66 (step @p237 :rule bool-and-de-morgan :args (@t141 @t140 (and @t139))) % 0.44/0.66 (step @p238 :rule trans :premises (@p237 @p236)) % 0.44/0.66 (step @p239 :rule refl :args (@t238)) % 0.44/0.66 (step @p240 :rule nary_cong :premises (@p239 @p238) :args ((or @t238 (not (and @t141 @t140 @t139))))) % 0.44/0.66 (step @p241 :rule bool-and-de-morgan :args (@t142 @t141 (and @t140 @t139))) % 0.44/0.66 (step @p242 :rule trans :premises (@p241 @p240)) % 0.44/0.66 (step @p243 :rule trans :premises (@p242 @p233)) % 0.44/0.66 (step @p244 :rule nary_cong :premises (@p243 @p232) :args ((or (not @t143) @t138))) % 0.44/0.66 (step @p245 :rule trans :premises (@p244 @p231)) % 0.44/0.66 (step @p246 :rule bool-impl-elim :args (@t143 @t138)) % 0.44/0.66 (step @p247 :rule trans :premises (@p246 @p245)) % 0.44/0.66 (step @p248 :rule cong :premises (@p247) :args (@t145)) % 0.44/0.66 (step @p249 :rule aci_norm :args ((= (or @t246 @t146) @t245))) % 0.44/0.66 (step @p250 :rule refl :args (@t146)) % 0.44/0.66 (step @p251 :rule aci_norm :args ((= (or @t244 (or @t243 (or @t242 @t241))) @t246))) % 0.44/0.66 (step @p252 :rule bool-and-de-morgan :args (@t148 @t147 true)) % 0.44/0.66 (step @p253 :rule refl :args (@t243)) % 0.44/0.66 (step @p254 :rule nary_cong :premises (@p253 @p252) :args ((or @t243 (not (and @t148 @t147))))) % 0.44/0.66 (step @p255 :rule bool-and-de-morgan :args (@t149 @t148 (and @t147))) % 0.44/0.66 (step @p256 :rule trans :premises (@p255 @p254)) % 0.44/0.66 (step @p257 :rule refl :args (@t244)) % 0.44/0.66 (step @p258 :rule nary_cong :premises (@p257 @p256) :args ((or @t244 (not (and @t149 @t148 @t147))))) % 0.44/0.66 (step @p259 :rule bool-and-de-morgan :args (@t150 @t149 (and @t148 @t147))) % 0.44/0.66 (step @p260 :rule trans :premises (@p259 @p258)) % 0.44/0.66 (step @p261 :rule trans :premises (@p260 @p251)) % 0.44/0.66 (step @p262 :rule nary_cong :premises (@p261 @p250) :args ((or (not @t151) @t146))) % 0.44/0.66 (step @p263 :rule trans :premises (@p262 @p249)) % 0.44/0.66 (step @p264 :rule bool-impl-elim :args (@t151 @t146)) % 0.44/0.66 (step @p265 :rule trans :premises (@p264 @p263)) % 0.44/0.66 (step @p266 :rule cong :premises (@p265) :args (@t153)) % 0.44/0.66 (step @p267 :rule aci_norm :args ((= (or @t252 @t154) @t251))) % 0.44/0.66 (step @p268 :rule refl :args (@t154)) % 0.44/0.66 (step @p269 :rule aci_norm :args ((= (or @t250 (or @t249 (or @t248 @t247))) @t252))) % 0.44/0.66 (step @p270 :rule bool-and-de-morgan :args (@t156 @t155 true)) % 0.44/0.66 (step @p271 :rule refl :args (@t249)) % 0.44/0.66 (step @p272 :rule nary_cong :premises (@p271 @p270) :args ((or @t249 (not (and @t156 @t155))))) % 0.44/0.66 (step @p273 :rule bool-and-de-morgan :args (@t157 @t156 (and @t155))) % 0.44/0.66 (step @p274 :rule trans :premises (@p273 @p272)) % 0.44/0.66 (step @p275 :rule refl :args (@t250)) % 0.44/0.66 (step @p276 :rule nary_cong :premises (@p275 @p274) :args ((or @t250 (not (and @t157 @t156 @t155))))) % 0.44/0.66 (step @p277 :rule bool-and-de-morgan :args (@t158 @t157 (and @t156 @t155))) % 0.44/0.66 (step @p278 :rule trans :premises (@p277 @p276)) % 0.44/0.66 (step @p279 :rule trans :premises (@p278 @p269)) % 0.44/0.66 (step @p280 :rule nary_cong :premises (@p279 @p268) :args ((or (not @t159) @t154))) % 0.44/0.66 (step @p281 :rule trans :premises (@p280 @p267)) % 0.44/0.66 (step @p282 :rule bool-impl-elim :args (@t159 @t154)) % 0.44/0.66 (step @p283 :rule trans :premises (@p282 @p281)) % 0.44/0.66 (step @p284 :rule cong :premises (@p283) :args (@t161)) % 0.44/0.66 (step @p285 :rule nary_cong :premises (@p195 @p194 @p284 @p266 @p248 @p230) :args (@t162)) % 0.44/0.66 (step @p286 :rule cong :premises (@p285 @p196) :args (@t163)) % 0.44/0.66 (step @p287 :rule cong :premises (@p286) :args (@t164)) % 0.44/0.66 (step @p288 :rule eq_resolve :premises (@p53 @p287)) % 0.44/0.66 (step @p289 :rule not_implies_elim1 :premises (@p288)) % 0.44/0.66 (step @p290 :rule and_elim :premises (@p289) :args (4)) % 0.44/0.66 (step @p291 :rule aci_norm :args ((= @t253 @t201))) % 0.44/0.66 (step @p292 :rule cong :premises (@p291) :args (@t254)) % 0.44/0.66 (step @p293 :rule true_intro :premises (@p292)) % 0.44/0.66 (step @p294 :rule eq-symm :args (@t255 @t254)) % 0.44/0.66 (step @p295 :rule trans :premises (@p294 @p293)) % 0.44/0.66 (step @p296 :rule eq-symm :args (@t94 @t95)) % 0.44/0.66 (step @p297 :rule refl :args (@t198)) % 0.44/0.66 (step @p298 :rule refl :args (@t197)) % 0.44/0.66 (step @p299 :rule refl :args (@t200)) % 0.44/0.66 (step @p300 :rule refl :args (@t199)) % 0.44/0.66 (step @p301 :rule nary_cong :premises (@p300 @p299 @p298 @p297 @p296) :args (@t256)) % 0.44/0.66 (step @p302 :rule cong :premises (@p301) :args (@t257)) % 0.44/0.66 (step @p303 :rule refl :args (@t255)) % 0.44/0.66 (step @p304 :rule cong :premises (@p303 @p302) :args ((= @t255 @t257))) % 0.44/0.66 (step @p305 :rule eq-symm :args (@t257 @t255)) % 0.44/0.66 (step @p306 :rule trans :premises (@p305 @p304)) % 0.44/0.66 (step @p307 :rule trans :premises (@p306 @p295)) % 0.44/0.66 (step @p308 :rule true_elim :premises (@p307)) % 0.44/0.66 (step @p309 :rule quant_var_reordering :args ((= (forall (@list @t29 @t52) @t256) @t257))) % 0.44/0.66 (step @p310 :rule alpha_equiv :args (@t258 (@list @t54 @t55) (@list @t29 @t52))) % 0.44/0.66 (step @p311 :rule trans :premises (@p310 @p309 @p308)) % 0.44/0.66 (step @p312 :rule equiv_elim1 :premises (@p311)) % 0.44/0.66 (step @p313 :rule reordering :premises (@p312) :args ((or @t255 (not @t258)))) % 0.44/0.66 (step @p314 :rule chain_m_resolution :premises (@p313 @p290) :args (@t255 @t259 (@list @t258))) % 0.44/0.66 (step @p315 :rule and_elim :premises (@p289) :args (3)) % 0.44/0.66 (step @p316 :rule aci_norm :args ((= @t260 @t207))) % 0.44/0.66 (step @p317 :rule cong :premises (@p316) :args (@t261)) % 0.44/0.66 (step @p318 :rule true_intro :premises (@p317)) % 0.44/0.66 (step @p319 :rule eq-symm :args (@t262 @t261)) % 0.44/0.66 (step @p320 :rule trans :premises (@p319 @p318)) % 0.44/0.66 (step @p321 :rule eq-symm :args (@t104 @t105)) % 0.44/0.66 (step @p322 :rule refl :args (@t204)) % 0.44/0.66 (step @p323 :rule refl :args (@t203)) % 0.44/0.66 (step @p324 :rule refl :args (@t206)) % 0.44/0.66 (step @p325 :rule refl :args (@t205)) % 0.44/0.66 (step @p326 :rule nary_cong :premises (@p325 @p324 @p323 @p322 @p321) :args (@t263)) % 0.44/0.66 (step @p327 :rule cong :premises (@p326) :args (@t264)) % 0.44/0.66 (step @p328 :rule refl :args (@t262)) % 0.44/0.66 (step @p329 :rule cong :premises (@p328 @p327) :args ((= @t262 @t264))) % 0.44/0.66 (step @p330 :rule eq-symm :args (@t264 @t262)) % 0.44/0.66 (step @p331 :rule trans :premises (@p330 @p329)) % 0.44/0.66 (step @p332 :rule trans :premises (@p331 @p320)) % 0.44/0.66 (step @p333 :rule true_elim :premises (@p332)) % 0.44/0.66 (step @p334 :rule quant_var_reordering :args ((= (forall (@list @t20 @t40) @t263) @t264))) % 0.44/0.66 (step @p335 :rule alpha_equiv :args (@t265 (@list @t13 @t56) (@list @t20 @t40))) % 0.44/0.66 (step @p336 :rule trans :premises (@p335 @p334 @p333)) % 0.44/0.66 (step @p337 :rule equiv_elim1 :premises (@p336)) % 0.44/0.66 (step @p338 :rule reordering :premises (@p337) :args ((or @t262 (not @t265)))) % 0.44/0.66 (step @p339 :rule chain_m_resolution :premises (@p338 @p315) :args (@t262 @t259 (@list @t265))) % 0.44/0.66 (step @p340 :rule and_elim :premises (@p289) :args (2)) % 0.44/0.66 (step @p341 :rule alpha_equiv :args (@t266 (@list @t27 @t43) (@list @t18 @t22))) % 0.44/0.66 (step @p342 :rule equiv_elim1 :premises (@p341)) % 0.44/0.66 (step @p343 :rule reordering :premises (@p342) :args ((or @t267 (not @t266)))) % 0.44/0.66 (step @p344 :rule chain_m_resolution :premises (@p343 @p340) :args (@t267 @t259 (@list @t266))) % 0.44/0.66 (step @p345 :rule and_elim :premises (@p289) :args (1)) % 0.44/0.66 (step @p346 :rule and_elim :premises (@p289) :args (0)) % 0.44/0.66 (step @p347 :rule not_implies_elim2 :premises (@p288)) % 0.44/0.66 (step @p348 :rule not_and :premises (@p347)) % 0.44/0.66 (step @p349 :rule chain_m_resolution :premises (@p348 @p346 @p345 @p344 @p339 @p314) :args ((not @t268) (@list false false false false false) (@list @t120 @t119 @t267 @t262 @t255))) % 0.44/0.66 (step @p350 :rule skolemize :premises (@p349)) % 0.44/0.66 (step @p351 :rule bool-double-not-elim :args (@t270)) % 0.44/0.66 (step @p352 :rule refl :args (@t282)) % 0.44/0.66 (step @p353 :rule nary_cong :premises (@p352 @p351) :args ((or @t282 (not @t275)))) % 0.44/0.66 (step @p354 :rule cnf_or_neg :args (@t282 3)) % 0.44/0.66 (step @p355 :rule eq_resolve :premises (@p354 @p353)) % 0.44/0.66 (step @p356 :rule reordering :premises (@p355) :args ((or @t270 @t282))) % 0.44/0.66 (step @p357 :rule chain_m_resolution :premises (@p356 @p350) :args (@t270 @t283 @t284)) % 0.44/0.66 (step @p358 :rule eq-symm :args (@t61 @t11)) % 0.44/0.66 (step @p359 :rule cong :premises (@p358) :args (@t62)) % 0.44/0.66 (step @p360 :rule eq_resolve :premises (@p30 @p359)) % 0.44/0.66 (step @p361 :rule instantiate :premises (@p360) :args (@t285)) % 0.44/0.66 (step @p362 :rule instantiate :premises (@p39) :args ((@list tptp.n6))) % 0.44/0.66 (step @p363 :rule eq-symm :args (@t68 @t2)) % 0.44/0.66 (step @p364 :rule cong :premises (@p363) :args (@t69)) % 0.44/0.66 (step @p365 :rule eq_resolve :premises (@p40 @p364)) % 0.44/0.66 (step @p366 :rule instantiate :premises (@p365) :args (@t285)) % 0.44/0.66 (step @p367 :rule and_elim :premises (@p289) :args (5)) % 0.44/0.66 (step @p368 :rule eq-symm :args (@t272 @t273)) % 0.44/0.66 (step @p369 :rule refl :args (@t279)) % 0.44/0.66 (step @p370 :rule refl :args (@t281)) % 0.44/0.66 (step @p371 :rule refl :args (@t287)) % 0.44/0.66 (step @p372 :rule refl :args (@t277)) % 0.44/0.66 (step @p373 :rule nary_cong :premises (@p372 @p371 @p370 @p369 @p368) :args (@t288)) % 0.44/0.66 (step @p374 :rule refl :args (@t289)) % 0.44/0.66 (step @p375 :rule cong :premises (@p374 @p373) :args ((=> @t289 @t288))) % 0.44/0.66 (assume-push @p442 @t289) % 0.44/0.66 (step @p377 :rule instantiate :premises (@p367) :args ((@list @t269 @t271))) % 0.44/0.66 (step-pop @p443 :rule scope :premises (@p377)) % 0.44/0.66 (step @p378 :rule process_scope :premises (@p443) :args (@t288)) % 0.44/0.66 (step @p380 :rule eq_resolve :premises (@p378 @p375)) % 0.44/0.66 (step @p381 :rule implies_elim :premises (@p380)) % 0.44/0.66 (step @p382 :rule chain_m_resolution :premises (@p381 @p367) :args (@t290 @t259 (@list @t289))) % 0.44/0.66 (step @p383 :rule cnf_or_neg :args (@t282 4)) % 0.44/0.66 (step @p384 :rule chain_m_resolution :premises (@p383 @p350) :args ((not @t274) @t283 @t284)) % 0.44/0.66 (step @p385 :rule bool-double-not-elim :args (@t276)) % 0.44/0.66 (step @p386 :rule nary_cong :premises (@p352 @p385) :args ((or @t282 (not @t277)))) % 0.44/0.66 (step @p387 :rule cnf_or_neg :args (@t282 2)) % 0.44/0.66 (step @p388 :rule eq_resolve :premises (@p387 @p386)) % 0.44/0.66 (step @p389 :rule reordering :premises (@p388) :args ((or @t276 @t282))) % 0.44/0.66 (step @p390 :rule chain_m_resolution :premises (@p389 @p350) :args (@t276 @t283 @t284)) % 0.44/0.66 (step @p391 :rule bool-double-not-elim :args (@t278)) % 0.44/0.66 (step @p392 :rule nary_cong :premises (@p352 @p391) :args ((or @t282 (not @t279)))) % 0.44/0.66 (step @p393 :rule cnf_or_neg :args (@t282 1)) % 0.44/0.66 (step @p394 :rule eq_resolve :premises (@p393 @p392)) % 0.44/0.66 (step @p395 :rule reordering :premises (@p394) :args ((or @t278 @t282))) % 0.44/0.66 (step @p396 :rule chain_m_resolution :premises (@p395 @p350) :args (@t278 @t283 @t284)) % 0.44/0.66 (step @p397 :rule bool-double-not-elim :args (@t280)) % 0.44/0.66 (step @p398 :rule nary_cong :premises (@p352 @p397) :args ((or @t282 (not @t281)))) % 0.44/0.66 (step @p399 :rule cnf_or_neg :args (@t282 0)) % 0.44/0.66 (step @p400 :rule eq_resolve :premises (@p399 @p398)) % 0.44/0.66 (step @p401 :rule reordering :premises (@p400) :args ((or @t280 @t282))) % 0.44/0.66 (step @p402 :rule chain_m_resolution :premises (@p401 @p350) :args (@t280 @t283 @t284)) % 0.44/0.66 (step @p403 :rule cnf_or_pos :args (@t290)) % 0.44/0.66 (step @p404 :rule reordering :premises (@p403) :args ((or @t281 @t279 @t277 @t274 @t287 (not @t290)))) % 0.44/0.66 (step @p405 :rule chain_m_resolution :premises (@p404 @p402 @p396 @p390 @p384 @p382) :args (@t287 (@list false false false true false) (@list @t280 @t278 @t276 @t274 @t290))) % 0.44/0.66 (assume-push @p444 @t291) % 0.44/0.66 (assume-push @p445 @t292) % 0.44/0.66 (assume-push @p446 @t270) % 0.44/0.66 (assume-push @p447 @t293) % 0.44/0.66 (assume-push @p448 @t294) % 0.44/0.66 (assume-push @p449 @t296) % 0.44/0.66 (step @p412 :rule true_intro :premises (@p357)) % 0.44/0.66 (step @p413 :rule symm :premises (@p362)) % 0.44/0.66 (step @p414 :rule cong :premises (@p99) :args (@t295)) % 0.44/0.66 (step @p415 :rule trans :premises (@p104 @p366 @p414 @p413)) % 0.44/0.66 (step @p416 :rule refl :args (@t269)) % 0.44/0.66 (step @p417 :rule cong :premises (@p416 @p415) :args ((tptp.leq @t269 tptp.n5))) % 0.44/0.66 (step @p418 :rule symm :premises (@p366)) % 0.44/0.66 (step @p419 :rule symm :premises (@p414)) % 0.44/0.66 (step @p420 :rule refl :args (tptp.n1)) % 0.44/0.66 (step @p421 :rule symm :premises (@p361)) % 0.44/0.66 (step @p422 :rule trans :premises (@p362 @p419 @p418)) % 0.44/0.66 (step @p423 :rule cong :premises (@p420 @p422) :args (@t130)) % 0.44/0.66 (step @p424 :rule trans :premises (@p423 @p421 @p99)) % 0.44/0.66 (step @p425 :rule cong :premises (@p424 @p420) :args (@t131)) % 0.44/0.66 (step @p426 :rule trans :premises (@p425 @p362 @p419 @p418 @p98)) % 0.44/0.66 (step @p427 :rule cong :premises (@p416 @p426) :args (@t286)) % 0.44/0.66 (step @p428 :rule trans :premises (@p427 @p417 @p412)) % 0.44/0.66 (step @p429 :rule true_elim :premises (@p428)) % 0.44/0.66 (step-pop @p450 :rule scope :premises (@p429)) % 0.44/0.66 (step-pop @p451 :rule scope :premises (@p450)) % 0.44/0.66 (step-pop @p452 :rule scope :premises (@p451)) % 0.44/0.66 (step-pop @p453 :rule scope :premises (@p452)) % 0.44/0.66 (step-pop @p454 :rule scope :premises (@p453)) % 0.44/0.66 (step-pop @p455 :rule scope :premises (@p454)) % 0.44/0.66 (step @p430 :rule process_scope :premises (@p455) :args (@t286)) % 0.44/0.66 (step @p437 :rule implies_elim :premises (@p430)) % 0.44/0.66 (step @p438 :rule cnf_and_neg :args (@t297)) % 0.44/0.66 (step @p439 :rule resolution :premises (@p438 @p437) :args (true @t297)) % 0.44/0.66 (step @p440 :rule reordering :premises (@p439) :args ((or (not @t291) (not @t292) @t275 @t286 (not @t293) (not @t294) (not @t296)))) % 0.44/0.66 (step @p441 false :rule chain_m_resolution :premises (@p440 @p405 @p366 @p362 @p361 @p357 @p105 @p104) :args (false (@list true false false false false false false) (@list @t286 @t296 @t294 @t293 @t270 @t292 @t291))) % 0.44/0.66 ) % 0.44/0.66 % SZS output end Proof % 0.44/0.66 % cvc5 exiting %------------------------------------------------------------------------------