%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV221+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 : n005.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 09:00:45 AM UTC 2026 % Result : Theorem 0.45s 0.68s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV221+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n005.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:59:03 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.68 % SZS status Theorem % 0.45/0.68 % SZS output start Proof % 0.45/0.68 ( % 0.45/0.68 (declare-sort $$unsorted 0) % 0.45/0.68 (declare-const tptp.pv5 $$unsorted) % 0.45/0.68 (declare-const tptp.q_ds1_filter $$unsorted) % 0.45/0.68 (declare-const tptp.pv58 $$unsorted) % 0.45/0.68 (declare-const tptp.id_ds1_filter $$unsorted) % 0.45/0.68 (declare-const tptp.def $$unsorted) % 0.45/0.68 (declare-const tptp.use $$unsorted) % 0.45/0.68 (declare-const tptp.true Bool) % 0.45/0.68 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.pminus_ds1_filter $$unsorted) % 0.45/0.68 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.n998 $$unsorted) % 0.45/0.68 (declare-const tptp.n3 $$unsorted) % 0.45/0.68 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.45/0.68 (declare-const tptp.n0 $$unsorted) % 0.45/0.68 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.n1 $$unsorted) % 0.45/0.68 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.n5 $$unsorted) % 0.45/0.68 (declare-const tptp.pv57 $$unsorted) % 0.45/0.68 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.r_ds1_filter $$unsorted) % 0.45/0.68 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.45/0.68 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.68 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.45/0.68 (declare-const tptp.n4 $$unsorted) % 0.45/0.68 (declare-const tptp.n2 $$unsorted) % 0.45/0.68 (define @t1 () (@var "Y" $$unsorted)) % 0.45/0.68 (define @t2 () (@var "X" $$unsorted)) % 0.45/0.68 (define @t3 () (= @t2 @t1)) % 0.45/0.68 (define @t4 () (tptp.gt @t1 @t2)) % 0.45/0.68 (define @t5 () (tptp.gt @t2 @t1)) % 0.45/0.68 (define @t6 () (@list @t2 @t1)) % 0.45/0.68 (define @t7 () (@var "Z" $$unsorted)) % 0.45/0.68 (define @t8 () (@list @t2 @t1 @t7)) % 0.45/0.68 (define @t9 () (@list @t2)) % 0.45/0.68 (define @t10 () (tptp.leq @t2 @t1)) % 0.45/0.68 (define @t11 () (tptp.succ @t2)) % 0.45/0.68 (define @t12 () (tptp.succ @t1)) % 0.45/0.68 (define @t13 () (@var "C" $$unsorted)) % 0.45/0.68 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.45/0.68 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.45/0.68 (define @t16 () (@list @t2 @t13)) % 0.45/0.68 (define @t17 () (@var "Val" $$unsorted)) % 0.45/0.68 (define @t18 () (@var "I" $$unsorted)) % 0.45/0.68 (define @t19 () (@var "U" $$unsorted)) % 0.45/0.68 (define @t20 () (@var "L" $$unsorted)) % 0.45/0.68 (define @t21 () (tptp.leq @t18 @t19)) % 0.45/0.68 (define @t22 () (@var "J" $$unsorted)) % 0.45/0.68 (define @t23 () (@var "U2" $$unsorted)) % 0.45/0.68 (define @t24 () (@var "L2" $$unsorted)) % 0.45/0.68 (define @t25 () (@var "U1" $$unsorted)) % 0.45/0.68 (define @t26 () (@var "L1" $$unsorted)) % 0.45/0.68 (define @t27 () (@var "A" $$unsorted)) % 0.45/0.68 (define @t28 () (tptp.trans @t27)) % 0.45/0.68 (define @t29 () (@var "N" $$unsorted)) % 0.45/0.68 (define @t30 () (tptp.leq @t22 @t29)) % 0.45/0.68 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.45/0.68 (define @t32 () (tptp.leq @t18 @t29)) % 0.45/0.68 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.45/0.68 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.45/0.68 (define @t35 () (@list @t18 @t22)) % 0.45/0.68 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.45/0.68 (define @t37 () (@list @t27 @t29)) % 0.45/0.68 (define @t38 () (tptp.inv @t27)) % 0.45/0.68 (define @t39 () (@var "VAL" $$unsorted)) % 0.45/0.68 (define @t40 () (@var "K" $$unsorted)) % 0.45/0.68 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.45/0.68 (define @t42 () (tptp.leq tptp.n0 @t40)) % 0.45/0.68 (define @t43 () (@var "B" $$unsorted)) % 0.45/0.68 (define @t44 () (tptp.tptp_madd @t27 @t43)) % 0.45/0.68 (define @t45 () (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))) % 0.45/0.68 (define @t46 () (forall @t35 (=> @t34 @t45))) % 0.45/0.68 (define @t47 () (and @t36 @t46)) % 0.45/0.68 (define @t48 () (@list @t27 @t43 @t29)) % 0.45/0.68 (define @t49 () (tptp.tptp_msub @t27 @t43)) % 0.45/0.68 (define @t50 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t43 @t28))) % 0.45/0.68 (define @t51 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t50 @t18 @t22) (tptp.a_select3 @t50 @t22 @t18))))) % 0.45/0.68 (define @t52 () (@var "M" $$unsorted)) % 0.45/0.68 (define @t53 () (and @t33 (tptp.leq @t18 @t52) @t31 (tptp.leq @t22 @t52))) % 0.45/0.68 (define @t54 () (@var "E" $$unsorted)) % 0.45/0.68 (define @t55 () (@var "F" $$unsorted)) % 0.45/0.68 (define @t56 () (@var "D" $$unsorted)) % 0.45/0.68 (define @t57 () (tptp.tptp_madd @t27 (tptp.tptp_mmul @t43 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t13 (tptp.tptp_mmul @t56 (tptp.trans @t13))) (tptp.tptp_mmul @t54 (tptp.tptp_mmul @t55 (tptp.trans @t54)))) (tptp.trans @t43))))) % 0.45/0.68 (define @t58 () (@var "Body" $$unsorted)) % 0.45/0.68 (define @t59 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t58)) % 0.45/0.68 (define @t60 () (@list @t58)) % 0.45/0.68 (define @t61 () (tptp.succ @t11)) % 0.45/0.68 (define @t62 () (tptp.succ @t61)) % 0.45/0.68 (define @t63 () (tptp.succ @t62)) % 0.45/0.68 (define @t64 () (tptp.succ @t63)) % 0.45/0.68 (define @t65 () (tptp.pred @t2)) % 0.45/0.68 (define @t66 () (@var "V" $$unsorted)) % 0.45/0.68 (define @t67 () (tptp.tptp_update3 @t2 @t19 @t66 @t39)) % 0.45/0.68 (define @t68 () (@var "VAL2" $$unsorted)) % 0.45/0.68 (define @t69 () (not (= @t18 @t19))) % 0.45/0.68 (define @t70 () (@var "J0" $$unsorted)) % 0.45/0.68 (define @t71 () (@var "I0" $$unsorted)) % 0.45/0.68 (define @t72 () (tptp.leq @t71 @t19)) % 0.45/0.68 (define @t73 () (tptp.leq tptp.n0 @t71)) % 0.45/0.68 (define @t74 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.45/0.68 (define @t75 () (= (tptp.a_select3 tptp.id_ds1_filter @t52 @t29) (tptp.a_select3 tptp.id_ds1_filter @t29 @t52))) % 0.45/0.68 (define @t76 () (not (= tptp.pv57 @t52))) % 0.45/0.68 (define @t77 () (= @t29 @t52)) % 0.45/0.68 (define @t78 () (and (= tptp.pv57 @t29) @t77)) % 0.45/0.68 (define @t79 () (not @t78)) % 0.45/0.68 (define @t80 () (and @t79 @t76)) % 0.45/0.68 (define @t81 () (=> @t80 @t75)) % 0.45/0.68 (define @t82 () (tptp.leq @t29 tptp.n5)) % 0.45/0.68 (define @t83 () (tptp.leq tptp.n0 @t29)) % 0.45/0.68 (define @t84 () (and @t83 @t82)) % 0.45/0.68 (define @t85 () (=> @t84 @t81)) % 0.45/0.68 (define @t86 () (@list @t29)) % 0.45/0.68 (define @t87 () (forall @t86 @t85)) % 0.45/0.68 (define @t88 () (tptp.pred tptp.pv57)) % 0.45/0.68 (define @t89 () (tptp.leq @t52 @t88)) % 0.45/0.68 (define @t90 () (tptp.leq tptp.n0 @t52)) % 0.45/0.68 (define @t91 () (and @t90 @t89)) % 0.45/0.68 (define @t92 () (=> @t91 @t87)) % 0.45/0.68 (define @t93 () (@list @t52)) % 0.45/0.68 (define @t94 () (forall @t93 @t92)) % 0.45/0.68 (define @t95 () (= (tptp.a_select3 tptp.id_ds1_filter @t40 @t20) (tptp.a_select3 tptp.id_ds1_filter @t20 @t40))) % 0.45/0.68 (define @t96 () (tptp.leq @t20 tptp.n5)) % 0.45/0.68 (define @t97 () (tptp.leq tptp.n0 @t20)) % 0.45/0.68 (define @t98 () (and @t97 @t96)) % 0.45/0.68 (define @t99 () (@list @t20)) % 0.45/0.68 (define @t100 () (forall @t99 (=> @t98 @t95))) % 0.45/0.68 (define @t101 () (tptp.leq @t40 @t88)) % 0.45/0.68 (define @t102 () (and @t42 @t101)) % 0.45/0.68 (define @t103 () (=> @t102 @t100)) % 0.45/0.68 (define @t104 () (@list @t40)) % 0.45/0.68 (define @t105 () (forall @t104 @t103)) % 0.45/0.68 (define @t106 () (= (tptp.a_select3 tptp.id_ds1_filter @t18 @t22) (tptp.a_select3 tptp.id_ds1_filter @t22 @t18))) % 0.45/0.68 (define @t107 () (tptp.gt tptp.pv57 @t18)) % 0.45/0.68 (define @t108 () (=> @t107 @t106)) % 0.45/0.68 (define @t109 () (tptp.leq @t22 tptp.n5)) % 0.45/0.68 (define @t110 () (tptp.leq @t18 tptp.n5)) % 0.45/0.68 (define @t111 () (and @t33 @t31 @t110 @t109)) % 0.45/0.68 (define @t112 () (forall @t35 (=> @t111 @t108))) % 0.45/0.68 (define @t113 () (@var "G" $$unsorted)) % 0.45/0.68 (define @t114 () (@var "H" $$unsorted)) % 0.45/0.68 (define @t115 () (= (tptp.a_select3 tptp.id_ds1_filter @t113 @t114) (tptp.a_select3 tptp.id_ds1_filter @t114 @t113))) % 0.45/0.68 (define @t116 () (tptp.gt tptp.pv58 @t114)) % 0.45/0.68 (define @t117 () (= @t113 tptp.pv57)) % 0.45/0.68 (define @t118 () (and @t117 @t116)) % 0.45/0.68 (define @t119 () (=> @t118 @t115)) % 0.45/0.68 (define @t120 () (tptp.leq @t114 tptp.n5)) % 0.45/0.68 (define @t121 () (tptp.leq @t113 tptp.n5)) % 0.45/0.68 (define @t122 () (tptp.leq tptp.n0 @t114)) % 0.45/0.68 (define @t123 () (tptp.leq tptp.n0 @t113)) % 0.45/0.68 (define @t124 () (and @t123 @t122 @t121 @t120)) % 0.45/0.68 (define @t125 () (=> @t124 @t119)) % 0.45/0.68 (define @t126 () (@list @t113 @t114)) % 0.45/0.68 (define @t127 () (forall @t126 @t125)) % 0.45/0.68 (define @t128 () (= (tptp.a_select3 tptp.pminus_ds1_filter @t54 @t55) (tptp.a_select3 tptp.pminus_ds1_filter @t55 @t54))) % 0.45/0.68 (define @t129 () (tptp.leq @t55 tptp.n5)) % 0.45/0.68 (define @t130 () (tptp.leq @t54 tptp.n5)) % 0.45/0.68 (define @t131 () (tptp.leq tptp.n0 @t55)) % 0.45/0.68 (define @t132 () (tptp.leq tptp.n0 @t54)) % 0.45/0.68 (define @t133 () (and @t132 @t131 @t130 @t129)) % 0.45/0.68 (define @t134 () (forall (@list @t54 @t55) (=> @t133 @t128))) % 0.45/0.68 (define @t135 () (= (tptp.a_select3 tptp.r_ds1_filter @t13 @t56) (tptp.a_select3 tptp.r_ds1_filter @t56 @t13))) % 0.45/0.68 (define @t136 () (tptp.leq @t56 tptp.n2)) % 0.45/0.68 (define @t137 () (tptp.leq @t13 tptp.n2)) % 0.45/0.68 (define @t138 () (tptp.leq tptp.n0 @t56)) % 0.45/0.68 (define @t139 () (tptp.leq tptp.n0 @t13)) % 0.45/0.68 (define @t140 () (and @t139 @t138 @t137 @t136)) % 0.45/0.68 (define @t141 () (forall (@list @t13 @t56) (=> @t140 @t135))) % 0.45/0.68 (define @t142 () (= (tptp.a_select3 tptp.q_ds1_filter @t27 @t43) (tptp.a_select3 tptp.q_ds1_filter @t43 @t27))) % 0.45/0.68 (define @t143 () (tptp.leq @t43 tptp.n5)) % 0.45/0.68 (define @t144 () (tptp.leq @t27 tptp.n5)) % 0.45/0.68 (define @t145 () (tptp.leq tptp.n0 @t43)) % 0.45/0.68 (define @t146 () (tptp.leq tptp.n0 @t27)) % 0.45/0.68 (define @t147 () (and @t146 @t145 @t144 @t143)) % 0.45/0.68 (define @t148 () (forall (@list @t27 @t43) (=> @t147 @t142))) % 0.45/0.68 (define @t149 () (tptp.gt tptp.pv58 tptp.pv57)) % 0.45/0.68 (define @t150 () (tptp.leq tptp.pv58 tptp.n5)) % 0.45/0.68 (define @t151 () (tptp.leq tptp.pv57 tptp.n5)) % 0.45/0.68 (define @t152 () (tptp.leq tptp.pv5 tptp.n998)) % 0.45/0.68 (define @t153 () (tptp.leq tptp.n0 tptp.pv57)) % 0.45/0.68 (define @t154 () (tptp.leq tptp.n0 tptp.pv5)) % 0.45/0.68 (define @t155 () (and @t154 @t153 @t152 @t151 @t150 @t149 @t148 @t141 @t134 @t127 @t112 @t105)) % 0.45/0.68 (define @t156 () (=> @t155 @t94)) % 0.45/0.68 (define @t157 () (not @t156)) % 0.45/0.68 (define @t158 () (= @t2 tptp.n4)) % 0.45/0.68 (define @t159 () (= @t2 tptp.n3)) % 0.45/0.68 (define @t160 () (= @t2 tptp.n2)) % 0.45/0.68 (define @t161 () (= @t2 tptp.n1)) % 0.45/0.68 (define @t162 () (= @t2 tptp.n0)) % 0.45/0.68 (define @t163 () (tptp.succ tptp.n0)) % 0.45/0.68 (define @t164 () (tptp.succ @t163)) % 0.45/0.68 (define @t165 () (tptp.succ @t164)) % 0.45/0.68 (define @t166 () (tptp.succ @t165)) % 0.45/0.68 (define @t167 () (@var "BOUND_VARIABLE_8572" $$unsorted)) % 0.45/0.68 (define @t168 () (= (tptp.a_select3 tptp.id_ds1_filter @t52 @t167) (tptp.a_select3 tptp.id_ds1_filter @t167 @t52))) % 0.45/0.68 (define @t169 () (and (= @t167 tptp.pv57) (= @t167 @t52))) % 0.45/0.68 (define @t170 () (not (tptp.leq @t167 tptp.n5))) % 0.45/0.68 (define @t171 () (not (tptp.leq tptp.n0 @t167))) % 0.45/0.68 (define @t172 () (= @t52 tptp.pv57)) % 0.45/0.68 (define @t173 () (not @t89)) % 0.45/0.68 (define @t174 () (not @t90)) % 0.45/0.68 (define @t175 () (or @t174 @t173 @t172 @t171 @t170 @t169 @t168)) % 0.45/0.68 (define @t176 () (or @t171 @t170 @t169 @t168)) % 0.45/0.68 (define @t177 () (or @t174 @t173 @t172 @t176)) % 0.45/0.68 (define @t178 () (@list @t52 @t167)) % 0.45/0.68 (define @t179 () (forall @t178 @t177)) % 0.45/0.68 (define @t180 () (@list @t167)) % 0.45/0.68 (define @t181 () (forall @t180 @t177)) % 0.45/0.68 (define @t182 () (forall @t180 @t176)) % 0.45/0.68 (define @t183 () (or @t174 @t173 @t172 @t182)) % 0.45/0.68 (define @t184 () (and (= @t29 tptp.pv57) @t77)) % 0.45/0.68 (define @t185 () (not @t82)) % 0.45/0.68 (define @t186 () (not @t83)) % 0.45/0.68 (define @t187 () (or @t186 @t185 @t184 @t75)) % 0.45/0.68 (define @t188 () (forall @t86 @t187)) % 0.45/0.68 (define @t189 () (or @t174 @t173 @t172 @t188)) % 0.45/0.68 (define @t190 () (or @t172 @t188)) % 0.45/0.68 (define @t191 () (or @t172 @t187)) % 0.45/0.68 (define @t192 () (or @t186 @t185 @t184 @t172 @t75)) % 0.45/0.68 (define @t193 () (or @t184 @t172 @t75)) % 0.45/0.68 (define @t194 () (not @t172)) % 0.45/0.68 (define @t195 () (not @t184)) % 0.45/0.68 (define @t196 () (and @t195 @t194)) % 0.45/0.68 (define @t197 () (=> @t196 @t75)) % 0.45/0.68 (define @t198 () (@var "BOUND_VARIABLE_8527" $$unsorted)) % 0.45/0.68 (define @t199 () (= (tptp.a_select3 tptp.id_ds1_filter @t40 @t198) (tptp.a_select3 tptp.id_ds1_filter @t198 @t40))) % 0.45/0.68 (define @t200 () (not (tptp.leq @t198 tptp.n5))) % 0.45/0.68 (define @t201 () (not (tptp.leq tptp.n0 @t198))) % 0.45/0.68 (define @t202 () (not @t101)) % 0.45/0.68 (define @t203 () (not @t42)) % 0.45/0.68 (define @t204 () (or @t203 @t202 @t201 @t200 @t199)) % 0.45/0.68 (define @t205 () (or @t201 @t200 @t199)) % 0.45/0.68 (define @t206 () (or @t203 @t202 @t205)) % 0.45/0.68 (define @t207 () (@list @t40 @t198)) % 0.45/0.68 (define @t208 () (forall @t207 @t206)) % 0.45/0.68 (define @t209 () (@list @t198)) % 0.45/0.68 (define @t210 () (forall @t209 @t206)) % 0.45/0.68 (define @t211 () (forall @t209 @t205)) % 0.45/0.68 (define @t212 () (or @t203 @t202 @t211)) % 0.45/0.68 (define @t213 () (not @t96)) % 0.45/0.68 (define @t214 () (not @t97)) % 0.45/0.68 (define @t215 () (or @t214 @t213 @t95)) % 0.45/0.68 (define @t216 () (forall @t99 @t215)) % 0.45/0.68 (define @t217 () (or @t203 @t202 @t216)) % 0.45/0.68 (define @t218 () (not @t107)) % 0.45/0.68 (define @t219 () (not @t109)) % 0.45/0.68 (define @t220 () (not @t110)) % 0.45/0.68 (define @t221 () (not @t31)) % 0.45/0.68 (define @t222 () (not @t33)) % 0.45/0.68 (define @t223 () (or @t222 @t221 @t220 @t219)) % 0.45/0.68 (define @t224 () (= (tptp.a_select3 tptp.id_ds1_filter tptp.pv57 @t114) (tptp.a_select3 tptp.id_ds1_filter @t114 tptp.pv57))) % 0.45/0.68 (define @t225 () (not @t116)) % 0.45/0.68 (define @t226 () (not @t120)) % 0.45/0.68 (define @t227 () (not @t122)) % 0.45/0.68 (define @t228 () (or @t227 @t226 @t225 @t224)) % 0.45/0.68 (define @t229 () (@list @t114)) % 0.45/0.68 (define @t230 () (not @t151)) % 0.45/0.68 (define @t231 () (not @t153)) % 0.45/0.68 (define @t232 () (or @t231 @t230 @t228)) % 0.45/0.68 (define @t233 () (or @t231 @t227 @t230 @t226 @t225 @t224)) % 0.45/0.68 (define @t234 () (not (= tptp.pv57 tptp.pv57))) % 0.45/0.68 (define @t235 () (or @t231 @t227 @t230 @t226 @t234 @t225 @t224)) % 0.45/0.68 (define @t236 () (= tptp.pv57 @t113)) % 0.45/0.68 (define @t237 () (not @t236)) % 0.45/0.68 (define @t238 () (not @t121)) % 0.45/0.68 (define @t239 () (not @t123)) % 0.45/0.68 (define @t240 () (@list @t113)) % 0.45/0.68 (define @t241 () (or @t237 @t239 @t227 @t238 @t226 @t237 @t225 @t115)) % 0.45/0.68 (define @t242 () (or @t239 @t227 @t238 @t226 @t237 @t225 @t115)) % 0.45/0.68 (define @t243 () (forall @t240 @t242)) % 0.45/0.68 (define @t244 () (forall @t229 @t243)) % 0.45/0.68 (define @t245 () (forall (@list @t114 @t113) @t242)) % 0.45/0.68 (define @t246 () (or @t237 @t225 @t115)) % 0.45/0.68 (define @t247 () (or @t239 @t227 @t238 @t226)) % 0.45/0.68 (define @t248 () (and @t236 @t116)) % 0.45/0.68 (define @t249 () (=> @t248 @t115)) % 0.45/0.68 (define @t250 () (not @t129)) % 0.45/0.68 (define @t251 () (not @t130)) % 0.45/0.68 (define @t252 () (not @t131)) % 0.45/0.68 (define @t253 () (not @t132)) % 0.45/0.68 (define @t254 () (or @t253 @t252 @t251 @t250)) % 0.45/0.68 (define @t255 () (not @t136)) % 0.45/0.68 (define @t256 () (not @t137)) % 0.45/0.68 (define @t257 () (not @t138)) % 0.45/0.68 (define @t258 () (not @t139)) % 0.45/0.68 (define @t259 () (or @t258 @t257 @t256 @t255)) % 0.45/0.68 (define @t260 () (not @t143)) % 0.45/0.68 (define @t261 () (not @t144)) % 0.45/0.68 (define @t262 () (not @t145)) % 0.45/0.68 (define @t263 () (not @t146)) % 0.45/0.68 (define @t264 () (or @t263 @t262 @t261 @t260)) % 0.45/0.68 (define @t265 () (forall @t178 (or @t174 @t173 @t172 @t171 @t170 (and (= tptp.pv57 @t167) (= @t52 @t167)) @t168))) % 0.45/0.68 (define @t266 () (@quantifiers_skolemize @t265 0)) % 0.45/0.68 (define @t267 () (@quantifiers_skolemize @t265 1)) % 0.45/0.68 (define @t268 () (= (tptp.a_select3 tptp.id_ds1_filter @t266 @t267) (tptp.a_select3 tptp.id_ds1_filter @t267 @t266))) % 0.45/0.68 (define @t269 () (and (= tptp.pv57 @t267) (= @t266 @t267))) % 0.45/0.68 (define @t270 () (tptp.leq @t267 tptp.n5)) % 0.45/0.68 (define @t271 () (not @t270)) % 0.45/0.68 (define @t272 () (tptp.leq tptp.n0 @t267)) % 0.45/0.68 (define @t273 () (not @t272)) % 0.45/0.68 (define @t274 () (tptp.leq @t266 @t88)) % 0.45/0.68 (define @t275 () (not @t274)) % 0.45/0.68 (define @t276 () (tptp.leq tptp.n0 @t266)) % 0.45/0.68 (define @t277 () (not @t276)) % 0.45/0.68 (define @t278 () (or @t277 @t275 (= tptp.pv57 @t266) @t273 @t271 @t269 @t268)) % 0.45/0.68 (define @t279 () (not @t278)) % 0.45/0.68 (define @t280 () (not @t265)) % 0.45/0.68 (define @t281 () (or @t277 @t275 (= @t266 tptp.pv57) @t273 @t271 @t269 @t268)) % 0.45/0.68 (define @t282 () (not @t281)) % 0.45/0.68 (define @t283 () (@list true)) % 0.45/0.68 (define @t284 () (@list @t278)) % 0.45/0.68 (define @t285 () (or @t277 @t275 @t273 @t271 @t268)) % 0.45/0.68 (define @t286 () (not @t285)) % 0.45/0.68 (define @t287 () (forall @t207 @t204)) % 0.45/0.68 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.45/0.68 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.45/0.68 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.45/0.68 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.45/0.68 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.45/0.68 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.45/0.68 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.45/0.68 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.45/0.68 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.45/0.68 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.45/0.68 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.45/0.68 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.45/0.68 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.45/0.68 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.45/0.68 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.45/0.68 (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)))) % 0.45/0.68 (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)))) % 0.45/0.68 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.45/0.68 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.45/0.68 (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))))))) % 0.45/0.68 (assume @p21 (forall @t48 (=> @t47 (forall @t35 (=> @t34 (= (tptp.a_select3 @t44 @t18 @t22) (tptp.a_select3 @t44 @t22 @t18))))))) % 0.45/0.68 (assume @p22 (forall @t48 (=> @t47 (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))))) % 0.45/0.68 (assume @p23 (forall @t48 (=> @t46 @t51))) % 0.45/0.68 (assume @p24 (forall (@list @t27 @t43 @t29 @t52) (=> (forall @t35 (=> @t53 @t45)) @t51))) % 0.45/0.68 (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))))))) % 0.45/0.68 (assume @p26 (forall @t60 (= @t59 tptp.n0))) % 0.45/0.68 (assume @p27 (forall @t60 (= tptp.tptp_float_0_0 @t59))) % 0.45/0.68 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.45/0.68 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.45/0.68 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t11))) % 0.45/0.68 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t61))) % 0.45/0.68 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t61))) % 0.45/0.68 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t62))) % 0.45/0.68 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t62))) % 0.45/0.68 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t63))) % 0.45/0.68 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t63))) % 0.45/0.68 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t64))) % 0.45/0.68 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t64))) % 0.45/0.68 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t65))) % 0.45/0.68 (assume @p40 (forall @t9 (= (tptp.pred @t11) @t2))) % 0.45/0.68 (assume @p41 (forall @t9 (= (tptp.succ @t65) @t2))) % 0.45/0.68 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.45/0.68 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.45/0.68 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.45/0.68 (assume @p45 (forall (@list @t2 @t19 @t66 @t39) (= (tptp.a_select3 @t67 @t19 @t66) @t39))) % 0.45/0.68 (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)))) % 0.45/0.68 (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)))) % 0.45/0.68 (assume @p48 (forall (@list @t2 @t19 @t39) (= (tptp.a_select2 @t74 @t19) @t39))) % 0.45/0.68 (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)))) % 0.45/0.68 (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)))) % 0.45/0.68 (assume @p51 tptp.true) % 0.45/0.68 (assume @p52 (not (= tptp.def tptp.use))) % 0.45/0.68 (assume @p53 @t157) % 0.45/0.68 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.45/0.68 (assume @p55 (tptp.gt tptp.n998 tptp.n4)) % 0.45/0.68 (assume @p56 (tptp.gt tptp.n998 tptp.n5)) % 0.45/0.68 (assume @p57 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.45/0.68 (assume @p58 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.45/0.68 (assume @p59 (tptp.gt tptp.n998 tptp.tptp_minus_1)) % 0.45/0.68 (assume @p60 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.45/0.68 (assume @p61 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.45/0.68 (assume @p62 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.45/0.68 (assume @p63 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.45/0.68 (assume @p64 (tptp.gt tptp.n4 tptp.n0)) % 0.45/0.68 (assume @p65 (tptp.gt tptp.n5 tptp.n0)) % 0.45/0.68 (assume @p66 (tptp.gt tptp.n998 tptp.n0)) % 0.45/0.68 (assume @p67 (tptp.gt tptp.n1 tptp.n0)) % 0.45/0.68 (assume @p68 (tptp.gt tptp.n2 tptp.n0)) % 0.45/0.68 (assume @p69 (tptp.gt tptp.n3 tptp.n0)) % 0.45/0.68 (assume @p70 (tptp.gt tptp.n4 tptp.n1)) % 0.45/0.68 (assume @p71 (tptp.gt tptp.n5 tptp.n1)) % 0.45/0.68 (assume @p72 (tptp.gt tptp.n998 tptp.n1)) % 0.45/0.68 (assume @p73 (tptp.gt tptp.n2 tptp.n1)) % 0.45/0.68 (assume @p74 (tptp.gt tptp.n3 tptp.n1)) % 0.45/0.68 (assume @p75 (tptp.gt tptp.n4 tptp.n2)) % 0.45/0.68 (assume @p76 (tptp.gt tptp.n5 tptp.n2)) % 0.45/0.68 (assume @p77 (tptp.gt tptp.n998 tptp.n2)) % 0.45/0.68 (assume @p78 (tptp.gt tptp.n3 tptp.n2)) % 0.45/0.68 (assume @p79 (tptp.gt tptp.n4 tptp.n3)) % 0.45/0.68 (assume @p80 (tptp.gt tptp.n5 tptp.n3)) % 0.45/0.68 (assume @p81 (tptp.gt tptp.n998 tptp.n3)) % 0.45/0.68 (assume @p82 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t162 @t161 @t160 @t159 @t158)))) % 0.45/0.68 (assume @p83 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t162 @t161 @t160 @t159 @t158 (= @t2 tptp.n5))))) % 0.45/0.68 (assume @p84 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t162))) % 0.45/0.68 (assume @p85 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t162 @t161)))) % 0.45/0.68 (assume @p86 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t162 @t161 @t160)))) % 0.45/0.68 (assume @p87 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t162 @t161 @t160 @t159)))) % 0.45/0.68 (assume @p88 (= @t166 tptp.n4)) % 0.45/0.68 (assume @p89 (= (tptp.succ @t166) tptp.n5)) % 0.45/0.68 (assume @p90 (= @t163 tptp.n1)) % 0.45/0.68 (assume @p91 (= @t164 tptp.n2)) % 0.45/0.68 (assume @p92 (= @t165 tptp.n3)) % 0.45/0.68 (assume @p93 true) % 0.45/0.68 (step @p94 :rule refl :args (@t168)) % 0.45/0.68 (step @p95 :rule eq-symm :args (@t167 @t52)) % 0.45/0.68 (step @p96 :rule eq-symm :args (@t167 tptp.pv57)) % 0.45/0.68 (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t169)) % 0.45/0.68 (step @p98 :rule refl :args (@t170)) % 0.45/0.68 (step @p99 :rule refl :args (@t171)) % 0.45/0.68 (step @p100 :rule refl :args (@t172)) % 0.45/0.68 (step @p101 :rule refl :args (@t173)) % 0.45/0.68 (step @p102 :rule refl :args (@t174)) % 0.45/0.68 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100 @p99 @p98 @p97 @p94) :args (@t175)) % 0.45/0.68 (step @p104 :rule aci_norm :args ((= @t177 @t175))) % 0.45/0.68 (step @p105 :rule trans :premises (@p104 @p103)) % 0.45/0.68 (step @p106 :rule cong :premises (@p105) :args (@t179)) % 0.45/0.68 (step @p107 :rule quant-merge-prenex :args ((= (forall @t93 @t181) @t179))) % 0.45/0.68 (step @p108 :rule alpha_equiv :args (@t182 (@list @t167) (@list @t29))) % 0.45/0.68 (step @p109 :rule refl :args (@t172)) % 0.45/0.68 (step @p110 :rule refl :args (@t173)) % 0.45/0.68 (step @p111 :rule refl :args (@t174)) % 0.45/0.68 (step @p112 :rule nary_cong :premises (@p111 @p110 @p109 @p108) :args (@t183)) % 0.45/0.68 (step @p113 :rule quant-miniscope-or :args ((= @t181 @t183))) % 0.45/0.68 (step @p114 :rule trans :premises (@p113 @p112)) % 0.45/0.68 (step @p115 :rule symm :premises 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(step @p326 :rule cong :premises (@p325) :args (@t141)) % 0.45/0.68 (step @p327 :rule aci_norm :args ((= (or @t264 @t142) (or @t263 @t262 @t261 @t260 @t142)))) % 0.45/0.68 (step @p328 :rule refl :args (@t142)) % 0.45/0.68 (step @p329 :rule aci_norm :args ((= (or @t263 (or @t262 (or @t261 @t260))) @t264))) % 0.45/0.68 (step @p330 :rule bool-and-de-morgan :args (@t144 @t143 true)) % 0.45/0.68 (step @p331 :rule refl :args (@t262)) % 0.45/0.68 (step @p332 :rule nary_cong :premises (@p331 @p330) :args ((or @t262 (not (and @t144 @t143))))) % 0.45/0.68 (step @p333 :rule bool-and-de-morgan :args (@t145 @t144 (and @t143))) % 0.45/0.68 (step @p334 :rule trans :premises (@p333 @p332)) % 0.45/0.68 (step @p335 :rule refl :args (@t263)) % 0.45/0.68 (step @p336 :rule nary_cong :premises (@p335 @p334) :args ((or @t263 (not (and @t145 @t144 @t143))))) % 0.45/0.68 (step @p337 :rule bool-and-de-morgan :args (@t146 @t145 (and @t144 @t143))) % 0.45/0.68 (step @p338 :rule trans :premises (@p337 @p336)) % 0.45/0.68 (step @p339 :rule trans :premises (@p338 @p329)) % 0.45/0.68 (step @p340 :rule nary_cong :premises (@p339 @p328) :args ((or (not @t147) @t142))) % 0.45/0.68 (step @p341 :rule trans :premises (@p340 @p327)) % 0.45/0.68 (step @p342 :rule bool-impl-elim :args (@t147 @t142)) % 0.45/0.68 (step @p343 :rule trans :premises (@p342 @p341)) % 0.45/0.68 (step @p344 :rule cong :premises (@p343) :args (@t148)) % 0.45/0.68 (step @p345 :rule refl :args (@t149)) % 0.45/0.68 (step @p346 :rule refl :args (@t150)) % 0.45/0.68 (step @p347 :rule refl :args (@t151)) % 0.45/0.68 (step @p348 :rule refl :args (@t152)) % 0.45/0.68 (step @p349 :rule refl :args (@t153)) % 0.45/0.68 (step @p350 :rule refl :args (@t154)) % 0.45/0.68 (step @p351 :rule nary_cong :premises (@p350 @p349 @p348 @p347 @p346 @p345 @p344 @p326 @p308 @p290 @p219 @p201) :args (@t155)) % 0.45/0.68 (step @p352 :rule cong :premises (@p351 @p167) :args (@t156)) % 0.45/0.68 (step @p353 :rule cong :premises (@p352) :args (@t157)) % 0.45/0.68 (step @p354 :rule eq_resolve :premises (@p53 @p353)) % 0.45/0.68 (step @p355 :rule not_implies_elim1 :premises (@p354)) % 0.45/0.68 (step @p356 :rule and_elim :premises (@p355) :args (11)) % 0.45/0.68 (step @p357 :rule not_implies_elim2 :premises (@p354)) % 0.45/0.68 (step @p358 :rule refl :args (@t279)) % 0.45/0.68 (step @p359 :rule bool-double-not-elim :args (@t265)) % 0.45/0.68 (step @p360 :rule nary_cong :premises (@p359 @p358) :args ((or (not @t280) @t279))) % 0.45/0.68 (step @p361 :rule refl :args (@t268)) % 0.45/0.68 (step @p362 :rule refl :args (@t269)) % 0.45/0.68 (step @p363 :rule refl :args (@t271)) % 0.45/0.68 (step @p364 :rule refl :args (@t273)) % 0.45/0.68 (step @p365 :rule eq-symm :args (@t266 tptp.pv57)) % 0.45/0.68 (step @p366 :rule refl :args (@t275)) % 0.45/0.68 (step @p367 :rule refl :args (@t277)) % 0.45/0.68 (step @p368 :rule nary_cong :premises (@p367 @p366 @p365 @p364 @p363 @p362 @p361) :args (@t281)) % 0.45/0.68 (step @p369 :rule cong :premises (@p368) :args (@t282)) % 0.45/0.68 (step @p370 :rule refl :args (@t280)) % 0.45/0.68 (step @p371 :rule cong :premises (@p370 @p369) :args ((=> @t280 @t282))) % 0.45/0.68 (assume-push @p416 @t280) % 0.45/0.68 (step @p373 :rule skolemize :premises (@p357)) % 0.45/0.68 (step-pop @p417 :rule scope :premises (@p373)) % 0.45/0.68 (step @p374 :rule process_scope :premises (@p417) :args (@t282)) % 0.45/0.68 (step @p376 :rule eq_resolve :premises (@p374 @p371)) % 0.45/0.68 (step @p377 :rule implies_elim :premises (@p376)) % 0.45/0.68 (step @p378 :rule eq_resolve :premises (@p377 @p360)) % 0.45/0.68 (step @p379 :rule chain_m_resolution :premises (@p378 @p357) :args (@t279 @t283 (@list @t265))) % 0.45/0.68 (step @p380 :rule cnf_or_neg :args (@t278 6)) % 0.45/0.68 (step @p381 :rule chain_m_resolution :premises (@p380 @p379) :args ((not @t268) @t283 @t284)) % 0.45/0.68 (step @p382 :rule bool-double-not-elim :args (@t270)) % 0.45/0.68 (step @p383 :rule refl :args (@t278)) % 0.45/0.68 (step @p384 :rule nary_cong :premises (@p383 @p382) :args ((or @t278 (not @t271)))) % 0.45/0.68 (step @p385 :rule cnf_or_neg :args (@t278 4)) % 0.45/0.68 (step @p386 :rule eq_resolve :premises (@p385 @p384)) % 0.45/0.68 (step @p387 :rule reordering :premises (@p386) :args ((or @t270 @t278))) % 0.45/0.68 (step @p388 :rule chain_m_resolution :premises (@p387 @p379) :args (@t270 @t283 @t284)) % 0.45/0.68 (step @p389 :rule bool-double-not-elim :args (@t272)) % 0.45/0.68 (step @p390 :rule nary_cong :premises (@p383 @p389) :args ((or @t278 (not @t273)))) % 0.45/0.68 (step @p391 :rule cnf_or_neg :args (@t278 3)) % 0.45/0.68 (step @p392 :rule eq_resolve :premises (@p391 @p390)) % 0.45/0.68 (step @p393 :rule reordering :premises (@p392) :args ((or @t272 @t278))) % 0.45/0.68 (step @p394 :rule chain_m_resolution :premises (@p393 @p379) :args (@t272 @t283 @t284)) % 0.45/0.68 (step @p395 :rule bool-double-not-elim :args (@t274)) % 0.45/0.68 (step @p396 :rule nary_cong :premises (@p383 @p395) :args ((or @t278 (not @t275)))) % 0.45/0.68 (step @p397 :rule cnf_or_neg :args (@t278 1)) % 0.45/0.68 (step @p398 :rule eq_resolve :premises (@p397 @p396)) % 0.45/0.68 (step @p399 :rule reordering :premises (@p398) :args ((or @t274 @t278))) % 0.45/0.68 (step @p400 :rule chain_m_resolution :premises (@p399 @p379) :args (@t274 @t283 @t284)) % 0.45/0.68 (step @p401 :rule bool-double-not-elim :args (@t276)) % 0.45/0.68 (step @p402 :rule nary_cong :premises (@p383 @p401) :args ((or @t278 (not @t277)))) % 0.45/0.68 (step @p403 :rule cnf_or_neg :args (@t278 0)) % 0.45/0.68 (step @p404 :rule eq_resolve :premises (@p403 @p402)) % 0.45/0.68 (step @p405 :rule reordering :premises (@p404) :args ((or @t276 @t278))) % 0.45/0.68 (step @p406 :rule chain_m_resolution :premises (@p405 @p379) :args (@t276 @t283 @t284)) % 0.45/0.68 (step @p407 :rule cnf_or_pos :args (@t285)) % 0.45/0.68 (step @p408 :rule reordering :premises (@p407) :args ((or @t277 @t275 @t273 @t271 @t268 @t286))) % 0.45/0.68 (step @p409 :rule chain_m_resolution :premises (@p408 @p406 @p400 @p394 @p388 @p381) :args (@t286 (@list false false false false true) (@list @t276 @t274 @t272 @t270 @t268))) % 0.45/0.68 (assume-push @p418 @t287) % 0.45/0.68 (step @p411 :rule instantiate :premises (@p356) :args ((@list @t266 @t267))) % 0.45/0.68 (step-pop @p419 :rule scope :premises (@p411)) % 0.45/0.68 (step @p412 :rule process_scope :premises (@p419) :args (@t285)) % 0.45/0.68 (step @p414 :rule implies_elim :premises (@p412)) % 0.45/0.68 (step @p415 false :rule chain_m_resolution :premises (@p414 @p409 @p356) :args (false (@list true false) (@list @t285 @t287))) % 0.45/0.68 ) % 0.45/0.68 % SZS output end Proof % 0.45/0.68 % cvc5 exiting %------------------------------------------------------------------------------