%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV232+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 : n019.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 09:00:46 AM UTC 2026 % Result : Theorem 0.40s 0.62s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV232+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n019.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 19:59:34 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.62 % SZS status Theorem % 0.40/0.62 % SZS output start Proof % 0.40/0.62 ( % 0.40/0.62 (declare-sort $$unsorted 0) % 0.40/0.62 (declare-const tptp.q_ds1_filter $$unsorted) % 0.40/0.62 (declare-const tptp.def $$unsorted) % 0.40/0.62 (declare-const tptp.use $$unsorted) % 0.40/0.62 (declare-const tptp.true Bool) % 0.40/0.62 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.40/0.62 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.n3 $$unsorted) % 0.40/0.62 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.40/0.62 (declare-const tptp.n0 $$unsorted) % 0.40/0.62 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.n1 $$unsorted) % 0.40/0.62 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.n5 $$unsorted) % 0.40/0.62 (declare-const tptp.rho $$unsorted) % 0.40/0.62 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.40/0.62 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.40/0.62 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.40/0.62 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.62 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.40/0.62 (declare-const tptp.n4 $$unsorted) % 0.40/0.62 (declare-const tptp.n2 $$unsorted) % 0.40/0.62 (define @t1 () (@var "Y" $$unsorted)) % 0.40/0.62 (define @t2 () (@var "X" $$unsorted)) % 0.40/0.62 (define @t3 () (= @t2 @t1)) % 0.40/0.62 (define @t4 () (tptp.gt @t1 @t2)) % 0.40/0.62 (define @t5 () (tptp.gt @t2 @t1)) % 0.40/0.62 (define @t6 () (@list @t2 @t1)) % 0.40/0.62 (define @t7 () (@var "Z" $$unsorted)) % 0.40/0.62 (define @t8 () (@list @t2 @t1 @t7)) % 0.40/0.62 (define @t9 () (@list @t2)) % 0.40/0.62 (define @t10 () (tptp.leq @t2 @t1)) % 0.40/0.62 (define @t11 () (tptp.succ @t2)) % 0.40/0.62 (define @t12 () (tptp.succ @t1)) % 0.40/0.62 (define @t13 () (@var "C" $$unsorted)) % 0.40/0.62 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.40/0.62 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.40/0.62 (define @t16 () (@list @t2 @t13)) % 0.40/0.62 (define @t17 () (@var "Val" $$unsorted)) % 0.40/0.62 (define @t18 () (@var "I" $$unsorted)) % 0.40/0.62 (define @t19 () (@var "U" $$unsorted)) % 0.40/0.62 (define @t20 () (@var "L" $$unsorted)) % 0.40/0.62 (define @t21 () (tptp.leq @t18 @t19)) % 0.40/0.62 (define @t22 () (@var "J" $$unsorted)) % 0.40/0.62 (define @t23 () (@var "U2" $$unsorted)) % 0.40/0.62 (define @t24 () (@var "L2" $$unsorted)) % 0.40/0.62 (define @t25 () (@var "U1" $$unsorted)) % 0.40/0.62 (define @t26 () (@var "L1" $$unsorted)) % 0.40/0.62 (define @t27 () (@var "A" $$unsorted)) % 0.40/0.62 (define @t28 () (tptp.trans @t27)) % 0.40/0.62 (define @t29 () (@var "N" $$unsorted)) % 0.40/0.62 (define @t30 () (tptp.leq @t22 @t29)) % 0.40/0.62 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.40/0.62 (define @t32 () (tptp.leq @t18 @t29)) % 0.40/0.62 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.40/0.62 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.40/0.62 (define @t35 () (@list @t18 @t22)) % 0.40/0.62 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.40/0.62 (define @t37 () (@list @t27 @t29)) % 0.40/0.62 (define @t38 () (tptp.inv @t27)) % 0.40/0.62 (define @t39 () (@var "VAL" $$unsorted)) % 0.40/0.62 (define @t40 () (@var "K" $$unsorted)) % 0.40/0.62 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.40/0.62 (define @t42 () (@var "B" $$unsorted)) % 0.40/0.62 (define @t43 () (tptp.tptp_madd @t27 @t42)) % 0.40/0.62 (define @t44 () (= (tptp.a_select3 @t42 @t18 @t22) (tptp.a_select3 @t42 @t22 @t18))) % 0.40/0.62 (define @t45 () (forall @t35 (=> @t34 @t44))) % 0.40/0.62 (define @t46 () (and @t36 @t45)) % 0.40/0.62 (define @t47 () (@list @t27 @t42 @t29)) % 0.40/0.62 (define @t48 () (tptp.tptp_msub @t27 @t42)) % 0.40/0.62 (define @t49 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t42 @t28))) % 0.40/0.62 (define @t50 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))) % 0.40/0.62 (define @t51 () (@var "M" $$unsorted)) % 0.40/0.62 (define @t52 () (and @t33 (tptp.leq @t18 @t51) @t31 (tptp.leq @t22 @t51))) % 0.40/0.62 (define @t53 () (@var "E" $$unsorted)) % 0.40/0.62 (define @t54 () (@var "F" $$unsorted)) % 0.40/0.62 (define @t55 () (@var "D" $$unsorted)) % 0.40/0.62 (define @t56 () (tptp.tptp_madd @t27 (tptp.tptp_mmul @t42 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t13 (tptp.tptp_mmul @t55 (tptp.trans @t13))) (tptp.tptp_mmul @t53 (tptp.tptp_mmul @t54 (tptp.trans @t53)))) (tptp.trans @t42))))) % 0.40/0.62 (define @t57 () (@var "Body" $$unsorted)) % 0.40/0.62 (define @t58 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t57)) % 0.40/0.62 (define @t59 () (@list @t57)) % 0.40/0.62 (define @t60 () (tptp.succ @t11)) % 0.40/0.62 (define @t61 () (tptp.succ @t60)) % 0.40/0.62 (define @t62 () (tptp.succ @t61)) % 0.40/0.62 (define @t63 () (tptp.succ @t62)) % 0.40/0.62 (define @t64 () (tptp.pred @t2)) % 0.40/0.62 (define @t65 () (@var "V" $$unsorted)) % 0.40/0.62 (define @t66 () (tptp.tptp_update3 @t2 @t19 @t65 @t39)) % 0.40/0.62 (define @t67 () (@var "VAL2" $$unsorted)) % 0.40/0.62 (define @t68 () (not (= @t18 @t19))) % 0.40/0.62 (define @t69 () (@var "J0" $$unsorted)) % 0.40/0.62 (define @t70 () (@var "I0" $$unsorted)) % 0.40/0.62 (define @t71 () (tptp.leq @t70 @t19)) % 0.40/0.62 (define @t72 () (tptp.leq tptp.n0 @t70)) % 0.40/0.62 (define @t73 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.40/0.62 (define @t74 () (tptp.a_select2 tptp.rho tptp.n1)) % 0.40/0.62 (define @t75 () (= tptp.n2 @t13)) % 0.40/0.62 (define @t76 () (= tptp.n1 @t55)) % 0.40/0.62 (define @t77 () (= tptp.n1 @t13)) % 0.40/0.62 (define @t78 () (= tptp.n0 @t55)) % 0.40/0.62 (define @t79 () (= tptp.n2 @t55)) % 0.40/0.62 (define @t80 () (and @t75 @t79)) % 0.40/0.62 (define @t81 () (not @t80)) % 0.40/0.62 (define @t82 () (and @t76 @t75)) % 0.40/0.62 (define @t83 () (not @t82)) % 0.40/0.62 (define @t84 () (and @t77 @t79)) % 0.40/0.62 (define @t85 () (not @t84)) % 0.40/0.62 (define @t86 () (and @t77 @t76)) % 0.40/0.62 (define @t87 () (not @t86)) % 0.40/0.62 (define @t88 () (and @t78 @t75)) % 0.40/0.62 (define @t89 () (not @t88)) % 0.40/0.62 (define @t90 () (= tptp.n0 @t13)) % 0.40/0.62 (define @t91 () (and @t90 @t79)) % 0.40/0.62 (define @t92 () (not @t91)) % 0.40/0.62 (define @t93 () (and @t90 @t76)) % 0.40/0.62 (define @t94 () (not @t93)) % 0.40/0.62 (define @t95 () (and @t94 @t92 @t89 @t87 @t85 @t83 @t81 @t78 @t77 @t76 @t75)) % 0.40/0.62 (define @t96 () (=> @t95 (= @t74 tptp.n0))) % 0.40/0.62 (define @t97 () (tptp.leq @t55 tptp.n2)) % 0.40/0.62 (define @t98 () (tptp.leq @t13 tptp.n2)) % 0.40/0.62 (define @t99 () (tptp.leq tptp.n0 @t55)) % 0.40/0.62 (define @t100 () (tptp.leq tptp.n0 @t13)) % 0.40/0.62 (define @t101 () (and @t100 @t99 @t98 @t97)) % 0.40/0.62 (define @t102 () (=> @t101 @t96)) % 0.40/0.62 (define @t103 () (@list @t13 @t55)) % 0.40/0.62 (define @t104 () (forall @t103 @t102)) % 0.40/0.62 (define @t105 () (= (tptp.a_select3 tptp.q_ds1_filter @t27 @t42) (tptp.a_select3 tptp.q_ds1_filter @t42 @t27))) % 0.40/0.62 (define @t106 () (tptp.leq @t42 tptp.n5)) % 0.40/0.62 (define @t107 () (tptp.leq @t27 tptp.n5)) % 0.40/0.62 (define @t108 () (tptp.leq tptp.n0 @t42)) % 0.40/0.62 (define @t109 () (tptp.leq tptp.n0 @t27)) % 0.40/0.62 (define @t110 () (and @t109 @t108 @t107 @t106)) % 0.40/0.62 (define @t111 () (@list @t27 @t42)) % 0.40/0.62 (define @t112 () (forall @t111 (=> @t110 @t105))) % 0.40/0.62 (define @t113 () (=> @t112 @t104)) % 0.40/0.62 (define @t114 () (not @t113)) % 0.40/0.62 (define @t115 () (= @t2 tptp.n4)) % 0.40/0.62 (define @t116 () (= @t2 tptp.n3)) % 0.40/0.62 (define @t117 () (= @t2 tptp.n2)) % 0.40/0.62 (define @t118 () (= @t2 tptp.n1)) % 0.40/0.62 (define @t119 () (= @t2 tptp.n0)) % 0.40/0.62 (define @t120 () (tptp.succ tptp.n0)) % 0.40/0.62 (define @t121 () (tptp.succ @t120)) % 0.40/0.62 (define @t122 () (tptp.succ @t121)) % 0.40/0.62 (define @t123 () (tptp.succ @t122)) % 0.40/0.62 (define @t124 () (not @t106)) % 0.40/0.62 (define @t125 () (not @t107)) % 0.40/0.62 (define @t126 () (not @t108)) % 0.40/0.62 (define @t127 () (not @t109)) % 0.40/0.62 (define @t128 () (or @t127 @t126 @t125 @t124 @t105)) % 0.40/0.62 (define @t129 () (= tptp.n0 @t74)) % 0.40/0.62 (define @t130 () (@list @t13)) % 0.40/0.62 (define @t131 () (= tptp.n0 tptp.n2)) % 0.40/0.62 (define @t132 () (and @t90 @t131)) % 0.40/0.62 (define @t133 () (= tptp.n0 tptp.n1)) % 0.40/0.62 (define @t134 () (and @t90 @t133)) % 0.40/0.62 (define @t135 () (not (tptp.leq tptp.n0 tptp.n2))) % 0.40/0.62 (define @t136 () (not (tptp.leq tptp.n0 tptp.n0))) % 0.40/0.62 (define @t137 () (not @t98)) % 0.40/0.62 (define @t138 () (not @t100)) % 0.40/0.62 (define @t139 () (= @t13 tptp.n2)) % 0.40/0.62 (define @t140 () (not @t133)) % 0.40/0.62 (define @t141 () (= @t13 tptp.n1)) % 0.40/0.62 (define @t142 () (not @t141)) % 0.40/0.62 (define @t143 () (and @t139 @t131)) % 0.40/0.62 (define @t144 () (and @t133 @t139)) % 0.40/0.62 (define @t145 () (and @t141 @t131)) % 0.40/0.62 (define @t146 () (and @t141 @t133)) % 0.40/0.62 (define @t147 () (not @t139)) % 0.40/0.62 (define @t148 () (or @t138 @t137 @t136 @t135 @t134 @t132 @t139 @t146 @t145 @t144 @t143 @t142 @t140 @t147)) % 0.40/0.62 (define @t149 () (= tptp.n0 tptp.n0)) % 0.40/0.62 (define @t150 () (not @t149)) % 0.40/0.62 (define @t151 () (and @t149 @t139)) % 0.40/0.62 (define @t152 () (or @t138 @t137 @t136 @t135 @t134 @t132 @t151 @t146 @t145 @t144 @t143 @t150 @t142 @t140 @t147)) % 0.40/0.62 (define @t153 () (= @t55 tptp.n1)) % 0.40/0.62 (define @t154 () (not @t153)) % 0.40/0.62 (define @t155 () (not @t78)) % 0.40/0.62 (define @t156 () (= @t55 tptp.n2)) % 0.40/0.62 (define @t157 () (and @t139 @t156)) % 0.40/0.62 (define @t158 () (and @t153 @t139)) % 0.40/0.62 (define @t159 () (and @t141 @t156)) % 0.40/0.62 (define @t160 () (and @t141 @t153)) % 0.40/0.62 (define @t161 () (and @t78 @t139)) % 0.40/0.62 (define @t162 () (and @t90 @t156)) % 0.40/0.62 (define @t163 () (and @t90 @t153)) % 0.40/0.62 (define @t164 () (not @t97)) % 0.40/0.62 (define @t165 () (not @t99)) % 0.40/0.62 (define @t166 () (@list @t55)) % 0.40/0.62 (define @t167 () (or @t155 @t138 @t137 @t165 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t155 @t142 @t154 @t147)) % 0.40/0.62 (define @t168 () (or @t138 @t137 @t165 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t155 @t142 @t154 @t147)) % 0.40/0.62 (define @t169 () (forall @t166 @t168)) % 0.40/0.62 (define @t170 () (forall @t130 @t169)) % 0.40/0.62 (define @t171 () (forall @t103 @t168)) % 0.40/0.62 (define @t172 () (or @t129 @t171)) % 0.40/0.62 (define @t173 () (or @t129 @t168)) % 0.40/0.62 (define @t174 () (or @t138 @t165 @t137 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t155 @t142 @t154 @t147 @t129)) % 0.40/0.62 (define @t175 () (or @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t155 @t142 @t154 @t147 @t129)) % 0.40/0.62 (define @t176 () (or @t138 @t165 @t137 @t164)) % 0.40/0.62 (define @t177 () (not @t157)) % 0.40/0.62 (define @t178 () (not @t177)) % 0.40/0.62 (define @t179 () (not @t158)) % 0.40/0.62 (define @t180 () (not @t179)) % 0.40/0.62 (define @t181 () (not @t159)) % 0.40/0.62 (define @t182 () (not @t181)) % 0.40/0.62 (define @t183 () (not @t160)) % 0.40/0.62 (define @t184 () (not @t183)) % 0.40/0.62 (define @t185 () (not @t161)) % 0.40/0.62 (define @t186 () (not @t185)) % 0.40/0.62 (define @t187 () (not @t162)) % 0.40/0.62 (define @t188 () (not @t187)) % 0.40/0.62 (define @t189 () (not @t163)) % 0.40/0.62 (define @t190 () (not @t189)) % 0.40/0.62 (define @t191 () (or @t190 @t188 @t186 @t184 @t182 @t180 @t178 @t155 @t142 @t154 @t147)) % 0.40/0.62 (define @t192 () (and @t189 @t187 @t185 @t183 @t181 @t179 @t177 @t78 @t141 @t153 @t139)) % 0.40/0.62 (define @t193 () (=> @t192 @t129)) % 0.40/0.62 (define @t194 () (or @t127 @t126 @t125 @t124)) % 0.40/0.62 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.40/0.62 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.40/0.62 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.40/0.62 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.40/0.62 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.40/0.62 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.40/0.62 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.40/0.62 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.40/0.62 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.40/0.62 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.40/0.62 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.40/0.62 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.40/0.62 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.40/0.62 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.40/0.62 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.40/0.62 (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)))) % 0.40/0.62 (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)))) % 0.40/0.62 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.40/0.62 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.40/0.62 (assume @p20 (forall @t37 (=> @t36 (forall (@list @t18 @t22 @t40 @t39) (=> (and @t33 @t32 @t31 @t30 (tptp.leq tptp.n0 @t40) (tptp.leq @t40 @t29)) (= (tptp.a_select3 @t41 @t18 @t22) (tptp.a_select3 @t41 @t22 @t18))))))) % 0.40/0.62 (assume @p21 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))))))) % 0.40/0.62 (assume @p22 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t48 @t18 @t22) (tptp.a_select3 @t48 @t22 @t18))))))) % 0.40/0.62 (assume @p23 (forall @t47 (=> @t45 @t50))) % 0.40/0.62 (assume @p24 (forall (@list @t27 @t42 @t29 @t51) (=> (forall @t35 (=> @t52 @t44)) @t50))) % 0.40/0.62 (assume @p25 (forall (@list @t27 @t42 @t13 @t55 @t53 @t54 @t29 @t51) (=> (and (forall @t35 (=> @t52 (= (tptp.a_select3 @t55 @t18 @t22) (tptp.a_select3 @t55 @t22 @t18)))) @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t54 @t18 @t22) (tptp.a_select3 @t54 @t22 @t18))))) (forall @t35 (=> @t34 (= (tptp.a_select3 @t56 @t18 @t22) (tptp.a_select3 @t56 @t22 @t18))))))) % 0.40/0.62 (assume @p26 (forall @t59 (= @t58 tptp.n0))) % 0.40/0.62 (assume @p27 (forall @t59 (= tptp.tptp_float_0_0 @t58))) % 0.40/0.62 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.40/0.62 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.40/0.62 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t11))) % 0.40/0.62 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t60))) % 0.40/0.62 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t60))) % 0.40/0.62 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t61))) % 0.40/0.62 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t61))) % 0.40/0.62 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t62))) % 0.40/0.62 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t62))) % 0.40/0.62 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t63))) % 0.40/0.62 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t63))) % 0.40/0.62 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t64))) % 0.40/0.62 (assume @p40 (forall @t9 (= (tptp.pred @t11) @t2))) % 0.40/0.62 (assume @p41 (forall @t9 (= (tptp.succ @t64) @t2))) % 0.40/0.62 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.40/0.62 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.40/0.62 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.40/0.62 (assume @p45 (forall (@list @t2 @t19 @t65 @t39) (= (tptp.a_select3 @t66 @t19 @t65) @t39))) % 0.40/0.62 (assume @p46 (forall (@list @t18 @t22 @t19 @t65 @t2 @t39 @t67) (=> (and @t68 (= @t22 @t65) (= (tptp.a_select3 @t2 @t19 @t65) @t39)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t18 @t22 @t67) @t19 @t65) @t39)))) % 0.40/0.62 (assume @p47 (forall (@list @t18 @t22 @t19 @t65 @t2 @t39) (=> (and (forall (@list @t70 @t69) (=> (and @t72 (tptp.leq tptp.n0 @t69) @t71 (tptp.leq @t69 @t65)) (= (tptp.a_select3 @t2 @t70 @t69) @t39))) @t33 @t21 @t31 (tptp.leq @t22 @t65)) (= (tptp.a_select3 @t66 @t18 @t22) @t39)))) % 0.40/0.62 (assume @p48 (forall (@list @t2 @t19 @t39) (= (tptp.a_select2 @t73 @t19) @t39))) % 0.40/0.62 (assume @p49 (forall (@list @t18 @t19 @t2 @t39 @t67) (=> (and @t68 (= (tptp.a_select2 @t2 @t19) @t39)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t18 @t67) @t19) @t39)))) % 0.40/0.62 (assume @p50 (forall (@list @t18 @t19 @t2 @t39) (=> (and (forall (@list @t70) (=> (and @t72 @t71) (= (tptp.a_select2 @t2 @t70) @t39))) @t33 @t21) (= (tptp.a_select2 @t73 @t18) @t39)))) % 0.40/0.62 (assume @p51 tptp.true) % 0.40/0.62 (assume @p52 (not (= tptp.def tptp.use))) % 0.40/0.62 (assume @p53 @t114) % 0.40/0.62 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.40/0.62 (assume @p55 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.40/0.62 (assume @p56 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.40/0.62 (assume @p57 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.40/0.62 (assume @p58 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.40/0.62 (assume @p59 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.40/0.62 (assume @p60 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.40/0.62 (assume @p61 (tptp.gt tptp.n4 tptp.n0)) % 0.40/0.62 (assume @p62 (tptp.gt tptp.n5 tptp.n0)) % 0.40/0.62 (assume @p63 (tptp.gt tptp.n1 tptp.n0)) % 0.40/0.62 (assume @p64 (tptp.gt tptp.n2 tptp.n0)) % 0.40/0.62 (assume @p65 (tptp.gt tptp.n3 tptp.n0)) % 0.40/0.62 (assume @p66 (tptp.gt tptp.n4 tptp.n1)) % 0.40/0.62 (assume @p67 (tptp.gt tptp.n5 tptp.n1)) % 0.40/0.62 (assume @p68 (tptp.gt tptp.n2 tptp.n1)) % 0.40/0.62 (assume @p69 (tptp.gt tptp.n3 tptp.n1)) % 0.40/0.62 (assume @p70 (tptp.gt tptp.n4 tptp.n2)) % 0.40/0.62 (assume @p71 (tptp.gt tptp.n5 tptp.n2)) % 0.40/0.62 (assume @p72 (tptp.gt tptp.n3 tptp.n2)) % 0.40/0.62 (assume @p73 (tptp.gt tptp.n4 tptp.n3)) % 0.40/0.62 (assume @p74 (tptp.gt tptp.n5 tptp.n3)) % 0.40/0.62 (assume @p75 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t119 @t118 @t117 @t116 @t115)))) % 0.40/0.62 (assume @p76 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t119 @t118 @t117 @t116 @t115 (= @t2 tptp.n5))))) % 0.40/0.62 (assume @p77 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t119))) % 0.40/0.62 (assume @p78 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t119 @t118)))) % 0.40/0.62 (assume @p79 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t119 @t118 @t117)))) % 0.40/0.62 (assume @p80 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t119 @t118 @t117 @t116)))) % 0.40/0.62 (assume @p81 (= @t123 tptp.n4)) % 0.40/0.62 (assume @p82 (= (tptp.succ @t123) tptp.n5)) % 0.40/0.62 (assume @p83 (= @t120 tptp.n1)) % 0.40/0.62 (assume @p84 (= @t121 tptp.n2)) % 0.40/0.62 (assume @p85 (= @t122 tptp.n3)) % 0.40/0.62 (assume @p86 true) % 0.40/0.62 (step @p87 :rule evaluate :args ((not true))) % 0.40/0.62 (step @p88 :rule bool-impl-true1 :args ((forall @t111 @t128))) % 0.40/0.62 (step @p89 :rule absorb :args ((= (or @t129 true) true))) % 0.40/0.62 (step @p90 :rule quant-unused-vars :args ((= (forall @t130 true) true))) % 0.40/0.62 (step @p91 :rule bool-or-taut :args ((or @t138 @t137 @t136 @t135 @t134 @t132) @t139 (or @t146 @t145 @t144 @t143 @t142 @t140) false)) % 0.40/0.62 (step @p92 :rule cong :premises (@p91) :args ((forall @t130 @t148))) % 0.40/0.62 (step @p93 :rule trans :premises (@p92 @p90)) % 0.40/0.62 (step @p94 :rule aci_norm :args ((= (or @t138 @t137 @t136 @t135 @t134 @t132 @t139 @t146 @t145 @t144 @t143 false @t142 @t140 @t147) @t148))) % 0.40/0.62 (step @p95 :rule refl :args (@t147)) % 0.40/0.62 (step @p96 :rule refl :args (@t140)) % 0.40/0.62 (step @p97 :rule refl :args (@t142)) % 0.40/0.62 (step @p98 :rule eq-refl :args (tptp.n0)) % 0.40/0.62 (step @p99 :rule cong :premises (@p98) :args (@t150)) % 0.40/0.62 (step @p100 :rule trans :premises (@p99 @p87)) % 0.40/0.62 (step @p101 :rule refl :args (@t143)) % 0.40/0.62 (step @p102 :rule refl :args (@t144)) % 0.40/0.62 (step @p103 :rule refl :args (@t145)) % 0.40/0.62 (step @p104 :rule refl :args (@t146)) % 0.40/0.62 (step @p105 :rule aci_norm :args ((= (and true @t139) @t139))) % 0.40/0.62 (step @p106 :rule refl :args (@t139)) % 0.40/0.62 (step @p107 :rule nary_cong :premises (@p98 @p106) :args (@t151)) % 0.40/0.62 (step @p108 :rule trans :premises (@p107 @p105)) % 0.40/0.62 (step @p109 :rule refl :args (@t132)) % 0.40/0.62 (step @p110 :rule refl :args (@t134)) % 0.40/0.62 (step @p111 :rule refl :args (@t135)) % 0.40/0.62 (step @p112 :rule refl :args (@t136)) % 0.40/0.62 (step @p113 :rule refl :args (@t137)) % 0.40/0.62 (step @p114 :rule refl :args (@t138)) % 0.40/0.62 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112 @p111 @p110 @p109 @p108 @p104 @p103 @p102 @p101 @p100 @p97 @p96 @p95) :args (@t152)) % 0.40/0.62 (step @p116 :rule trans :premises (@p115 @p94)) % 0.40/0.62 (step @p117 :rule cong :premises (@p116) :args ((forall @t130 @t152))) % 0.40/0.62 (step @p118 :rule trans :premises (@p117 @p93)) % 0.40/0.62 (step @p119 :rule quant-var-elim-eq :args ((= (forall @t166 (or (not (= @t55 tptp.n0)) @t138 @t137 @t165 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t155 @t142 @t154 @t147)) @t152))) % 0.40/0.62 (step @p120 :rule refl :args (@t147)) % 0.40/0.62 (step @p121 :rule refl :args (@t154)) % 0.40/0.62 (step @p122 :rule refl :args (@t142)) % 0.40/0.62 (step @p123 :rule refl :args (@t155)) % 0.40/0.62 (step @p124 :rule refl :args (@t157)) % 0.40/0.62 (step @p125 :rule refl :args (@t158)) % 0.40/0.62 (step @p126 :rule refl :args (@t159)) % 0.40/0.62 (step @p127 :rule refl :args (@t160)) % 0.40/0.62 (step @p128 :rule refl :args (@t161)) % 0.40/0.62 (step @p129 :rule refl :args (@t162)) % 0.40/0.62 (step @p130 :rule refl :args (@t163)) % 0.40/0.62 (step @p131 :rule refl :args (@t164)) % 0.40/0.62 (step @p132 :rule refl :args (@t165)) % 0.40/0.62 (step @p133 :rule refl :args (@t137)) % 0.40/0.62 (step @p134 :rule refl :args (@t138)) % 0.40/0.62 (step @p135 :rule eq-symm :args (tptp.n0 @t55)) % 0.40/0.62 (step @p136 :rule cong :premises (@p135) :args (@t155)) % 0.40/0.62 (step @p137 :rule nary_cong :premises (@p136 @p134 @p133 @p132 @p131 @p130 @p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120) :args (@t167)) % 0.40/0.62 (step @p138 :rule aci_norm :args ((= @t168 @t167))) % 0.40/0.62 (step @p139 :rule trans :premises (@p138 @p137)) % 0.40/0.62 (step @p140 :rule cong :premises (@p139) :args (@t169)) % 0.40/0.62 (step @p141 :rule trans :premises (@p140 @p119)) % 0.40/0.62 (step @p142 :rule cong :premises (@p141) :args (@t170)) % 0.40/0.62 (step @p143 :rule quant-merge-prenex :args ((= @t170 @t171))) % 0.40/0.62 (step @p144 :rule symm :premises (@p143)) % 0.40/0.62 (step @p145 :rule trans :premises (@p144 @p142)) % 0.40/0.62 (step @p146 :rule trans :premises (@p145 @p118)) % 0.40/0.62 (step @p147 :rule refl :args (@t129)) % 0.40/0.62 (step @p148 :rule nary_cong :premises (@p147 @p146) :args (@t172)) % 0.40/0.62 (step @p149 :rule trans :premises (@p148 @p89)) % 0.40/0.62 (step @p150 :rule quant-miniscope-or :args ((= (forall @t103 @t173) @t172))) % 0.40/0.62 (step @p151 :rule aci_norm :args ((= @t174 @t173))) % 0.40/0.62 (step @p152 :rule cong :premises (@p151) :args ((forall @t103 @t174))) % 0.40/0.62 (step @p153 :rule trans :premises (@p152 @p150)) % 0.40/0.62 (step @p154 :rule trans :premises (@p153 @p149)) % 0.40/0.62 (step @p155 :rule aci_norm :args ((= (or @t176 @t175) @t174))) % 0.40/0.62 (step @p156 :rule aci_norm :args ((= (or (or @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t155 @t142 @t154 @t147) @t129) @t175))) % 0.40/0.62 (step @p157 :rule refl :args (@t129)) % 0.40/0.62 (step @p158 :rule bool-double-not-elim :args (@t157)) % 0.40/0.62 (step @p159 :rule bool-double-not-elim :args (@t158)) % 0.40/0.62 (step @p160 :rule bool-double-not-elim :args (@t159)) % 0.40/0.62 (step @p161 :rule bool-double-not-elim :args (@t160)) % 0.40/0.62 (step @p162 :rule bool-double-not-elim :args (@t161)) % 0.40/0.62 (step @p163 :rule bool-double-not-elim :args (@t162)) % 0.40/0.62 (step @p164 :rule bool-double-not-elim :args (@t163)) % 0.40/0.62 (step @p165 :rule nary_cong :premises (@p164 @p163 @p162 @p161 @p160 @p159 @p158 @p123 @p122 @p121 @p120) :args (@t191)) % 0.40/0.62 (step @p166 :rule aci_norm :args ((= (or @t190 (or @t188 (or @t186 (or @t184 (or @t182 (or @t180 (or @t178 (or @t155 (or @t142 (or @t154 @t147)))))))))) @t191))) % 0.40/0.62 (step @p167 :rule trans :premises (@p166 @p165)) % 0.40/0.62 (step @p168 :rule bool-and-de-morgan :args (@t153 @t139 true)) % 0.40/0.62 (step @p169 :rule nary_cong :premises (@p122 @p168) :args ((or @t142 @t179))) % 0.40/0.62 (step @p170 :rule bool-and-de-morgan :args (@t141 @t153 (and @t139))) % 0.40/0.62 (step @p171 :rule trans :premises (@p170 @p169)) % 0.40/0.62 (step @p172 :rule nary_cong :premises (@p123 @p171) :args ((or @t155 (not (and @t141 @t153 @t139))))) % 0.40/0.62 (step @p173 :rule bool-and-de-morgan :args (@t78 @t141 (and @t153 @t139))) % 0.40/0.62 (step @p174 :rule trans :premises (@p173 @p172)) % 0.40/0.62 (step @p175 :rule refl :args (@t178)) % 0.40/0.62 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or @t178 (not (and @t78 @t141 @t153 @t139))))) % 0.40/0.62 (step @p177 :rule bool-and-de-morgan :args (@t177 @t78 (and @t141 @t153 @t139))) % 0.40/0.62 (step @p178 :rule trans :premises (@p177 @p176)) % 0.40/0.62 (step @p179 :rule refl :args (@t180)) % 0.40/0.62 (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or @t180 (not (and @t177 @t78 @t141 @t153 @t139))))) % 0.40/0.62 (step @p181 :rule bool-and-de-morgan :args (@t179 @t177 (and @t78 @t141 @t153 @t139))) % 0.40/0.62 (step @p182 :rule trans :premises (@p181 @p180)) % 0.40/0.62 (step @p183 :rule refl :args (@t182)) % 0.40/0.62 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or @t182 (not (and @t179 @t177 @t78 @t141 @t153 @t139))))) % 0.40/0.62 (step @p185 :rule bool-and-de-morgan :args (@t181 @t179 (and @t177 @t78 @t141 @t153 @t139))) % 0.40/0.62 (step @p186 :rule trans :premises (@p185 @p184)) % 0.40/0.62 (step @p187 :rule refl :args (@t184)) % 0.40/0.62 (step @p188 :rule nary_cong :premises (@p187 @p186) :args ((or @t184 (not (and @t181 @t179 @t177 @t78 @t141 @t153 @t139))))) % 0.40/0.62 (step @p189 :rule bool-and-de-morgan :args (@t183 @t181 (and @t179 @t177 @t78 @t141 @t153 @t139))) % 0.40/0.62 (step @p190 :rule trans :premises (@p189 @p188)) % 0.40/0.62 (step @p191 :rule refl :args (@t186)) % 0.40/0.62 (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((or @t186 (not (and @t183 @t181 @t179 @t177 @t78 @t141 @t153 @t139))))) % 0.40/0.62 (step @p193 :rule bool-and-de-morgan :args (@t185 @t183 (and @t181 @t179 @t177 @t78 @t141 @t153 @t139))) % 0.40/0.62 (step @p194 :rule trans :premises (@p193 @p192)) % 0.40/0.62 (step @p195 :rule refl :args (@t188)) % 0.40/0.62 (step @p196 :rule nary_cong :premises (@p195 @p194) :args ((or @t188 (not (and @t185 @t183 @t181 @t179 @t177 @t78 @t141 @t153 @t139))))) % 0.40/0.62 (step @p197 :rule bool-and-de-morgan :args (@t187 @t185 (and @t183 @t181 @t179 @t177 @t78 @t141 @t153 @t139))) % 0.40/0.62 (step @p198 :rule trans :premises (@p197 @p196)) % 0.40/0.62 (step @p199 :rule refl :args (@t190)) % 0.40/0.62 (step @p200 :rule nary_cong :premises (@p199 @p198) :args ((or @t190 (not (and @t187 @t185 @t183 @t181 @t179 @t177 @t78 @t141 @t153 @t139))))) % 0.40/0.62 (step @p201 :rule bool-and-de-morgan :args (@t189 @t187 (and @t185 @t183 @t181 @t179 @t177 @t78 @t141 @t153 @t139))) % 0.40/0.62 (step @p202 :rule trans :premises (@p201 @p200)) % 0.40/0.62 (step @p203 :rule trans :premises (@p202 @p167)) % 0.40/0.62 (step @p204 :rule nary_cong :premises (@p203 @p157) :args ((or (not @t192) @t129))) % 0.40/0.62 (step @p205 :rule trans :premises (@p204 @p156)) % 0.40/0.62 (step @p206 :rule bool-impl-elim :args (@t192 @t129)) % 0.40/0.62 (step @p207 :rule trans :premises (@p206 @p205)) % 0.40/0.62 (step @p208 :rule aci_norm :args ((= (or @t138 (or @t165 (or @t137 @t164))) @t176))) % 0.40/0.62 (step @p209 :rule bool-and-de-morgan :args (@t98 @t97 true)) % 0.40/0.62 (step @p210 :rule nary_cong :premises (@p132 @p209) :args ((or @t165 (not (and @t98 @t97))))) % 0.40/0.62 (step @p211 :rule bool-and-de-morgan :args (@t99 @t98 (and @t97))) % 0.40/0.62 (step @p212 :rule trans :premises (@p211 @p210)) % 0.40/0.62 (step @p213 :rule nary_cong :premises (@p134 @p212) :args ((or @t138 (not (and @t99 @t98 @t97))))) % 0.40/0.62 (step @p214 :rule bool-and-de-morgan :args (@t100 @t99 (and @t98 @t97))) % 0.40/0.62 (step @p215 :rule trans :premises (@p214 @p213)) % 0.40/0.62 (step @p216 :rule trans :premises (@p215 @p208)) % 0.40/0.62 (step @p217 :rule nary_cong :premises (@p216 @p207) :args ((or (not @t101) @t193))) % 0.40/0.62 (step @p218 :rule trans :premises (@p217 @p155)) % 0.40/0.62 (step @p219 :rule bool-impl-elim :args (@t101 @t193)) % 0.40/0.62 (step @p220 :rule trans :premises (@p219 @p218)) % 0.40/0.62 (step @p221 :rule cong :premises (@p220) :args ((forall @t103 (=> @t101 @t193)))) % 0.40/0.62 (step @p222 :rule trans :premises (@p221 @p154)) % 0.40/0.62 (step @p223 :rule eq-symm :args (@t74 tptp.n0)) % 0.40/0.62 (step @p224 :rule eq-symm :args (tptp.n2 @t13)) % 0.40/0.62 (step @p225 :rule eq-symm :args (tptp.n1 @t55)) % 0.40/0.62 (step @p226 :rule eq-symm :args (tptp.n1 @t13)) % 0.40/0.62 (step @p227 :rule refl :args (@t78)) % 0.40/0.62 (step @p228 :rule eq-symm :args (tptp.n2 @t55)) % 0.40/0.62 (step @p229 :rule nary_cong :premises (@p224 @p228) :args (@t80)) % 0.40/0.62 (step @p230 :rule cong :premises (@p229) :args (@t81)) % 0.40/0.62 (step @p231 :rule nary_cong :premises (@p225 @p224) :args (@t82)) % 0.40/0.62 (step @p232 :rule cong :premises (@p231) :args (@t83)) % 0.40/0.62 (step @p233 :rule nary_cong :premises (@p226 @p228) :args (@t84)) % 0.40/0.62 (step @p234 :rule cong :premises (@p233) :args (@t85)) % 0.40/0.62 (step @p235 :rule nary_cong :premises (@p226 @p225) :args (@t86)) % 0.40/0.62 (step @p236 :rule cong :premises (@p235) :args (@t87)) % 0.40/0.62 (step @p237 :rule nary_cong :premises (@p227 @p224) :args (@t88)) % 0.40/0.62 (step @p238 :rule cong :premises (@p237) :args (@t89)) % 0.40/0.62 (step @p239 :rule refl :args (@t90)) % 0.40/0.62 (step @p240 :rule nary_cong :premises (@p239 @p228) :args (@t91)) % 0.40/0.62 (step @p241 :rule cong :premises (@p240) :args (@t92)) % 0.40/0.62 (step @p242 :rule nary_cong :premises (@p239 @p225) :args (@t93)) % 0.40/0.62 (step @p243 :rule cong :premises (@p242) :args (@t94)) % 0.40/0.62 (step @p244 :rule nary_cong :premises (@p243 @p241 @p238 @p236 @p234 @p232 @p230 @p227 @p226 @p225 @p224) :args (@t95)) % 0.40/0.62 (step @p245 :rule cong :premises (@p244 @p223) :args (@t96)) % 0.40/0.62 (step @p246 :rule refl :args (@t101)) % 0.40/0.62 (step @p247 :rule cong :premises (@p246 @p245) :args (@t102)) % 0.40/0.62 (step @p248 :rule cong :premises (@p247) :args (@t104)) % 0.40/0.62 (step @p249 :rule trans :premises (@p248 @p222)) % 0.40/0.62 (step @p250 :rule aci_norm :args ((= (or @t194 @t105) @t128))) % 0.40/0.62 (step @p251 :rule refl :args (@t105)) % 0.40/0.62 (step @p252 :rule aci_norm :args ((= (or @t127 (or @t126 (or @t125 @t124))) @t194))) % 0.40/0.62 (step @p253 :rule bool-and-de-morgan :args (@t107 @t106 true)) % 0.40/0.62 (step @p254 :rule refl :args (@t126)) % 0.40/0.62 (step @p255 :rule nary_cong :premises (@p254 @p253) :args ((or @t126 (not (and @t107 @t106))))) % 0.40/0.62 (step @p256 :rule bool-and-de-morgan :args (@t108 @t107 (and @t106))) % 0.40/0.62 (step @p257 :rule trans :premises (@p256 @p255)) % 0.40/0.62 (step @p258 :rule refl :args (@t127)) % 0.40/0.62 (step @p259 :rule nary_cong :premises (@p258 @p257) :args ((or @t127 (not (and @t108 @t107 @t106))))) % 0.40/0.62 (step @p260 :rule bool-and-de-morgan :args (@t109 @t108 (and @t107 @t106))) % 0.40/0.62 (step @p261 :rule trans :premises (@p260 @p259)) % 0.40/0.62 (step @p262 :rule trans :premises (@p261 @p252)) % 0.40/0.62 (step @p263 :rule nary_cong :premises (@p262 @p251) :args ((or (not @t110) @t105))) % 0.40/0.62 (step @p264 :rule trans :premises (@p263 @p250)) % 0.40/0.62 (step @p265 :rule bool-impl-elim :args (@t110 @t105)) % 0.40/0.62 (step @p266 :rule trans :premises (@p265 @p264)) % 0.40/0.62 (step @p267 :rule cong :premises (@p266) :args (@t112)) % 0.40/0.62 (step @p268 :rule cong :premises (@p267 @p249) :args (@t113)) % 0.40/0.62 (step @p269 :rule trans :premises (@p268 @p88)) % 0.40/0.62 (step @p270 :rule cong :premises (@p269) :args (@t114)) % 0.40/0.62 (step @p271 :rule trans :premises (@p270 @p87)) % 0.40/0.62 (step @p272 false :rule eq_resolve :premises (@p53 @p271)) % 0.40/0.62 ) % 0.40/0.62 % SZS output end Proof % 0.40/0.62 % cvc5 exiting %------------------------------------------------------------------------------