%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV183+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 : n006.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 09:00:40 AM UTC 2026 % Result : Theorem 0.38s 0.62s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV183+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:58:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.62 % SZS status Theorem % 0.38/0.62 % SZS output start Proof % 0.38/0.62 ( % 0.38/0.62 (declare-sort $$unsorted 0) % 0.38/0.62 (declare-const tptp.rho_init $$unsorted) % 0.38/0.62 (declare-const tptp.center_init $$unsorted) % 0.38/0.62 (declare-const tptp.loopcounter $$unsorted) % 0.38/0.62 (declare-const tptp.muold_init $$unsorted) % 0.38/0.62 (declare-const tptp.rhoold_init $$unsorted) % 0.38/0.62 (declare-const tptp.init $$unsorted) % 0.38/0.62 (declare-const tptp.def $$unsorted) % 0.38/0.62 (declare-const tptp.use $$unsorted) % 0.38/0.62 (declare-const tptp.true Bool) % 0.38/0.62 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.sigma_init $$unsorted) % 0.38/0.62 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.q_init $$unsorted) % 0.38/0.62 (declare-const tptp.n3 $$unsorted) % 0.38/0.62 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.38/0.62 (declare-const tptp.n0 $$unsorted) % 0.38/0.62 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.n1 $$unsorted) % 0.38/0.62 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.n5 $$unsorted) % 0.38/0.62 (declare-const tptp.n135299 $$unsorted) % 0.38/0.62 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.mu_init $$unsorted) % 0.38/0.62 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.62 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.62 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.38/0.62 (declare-const tptp.sigmaold_init $$unsorted) % 0.38/0.62 (declare-const tptp.n4 $$unsorted) % 0.38/0.62 (declare-const tptp.n2 $$unsorted) % 0.38/0.62 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.62 (define @t2 () (@var "X" $$unsorted)) % 0.38/0.62 (define @t3 () (= @t2 @t1)) % 0.38/0.62 (define @t4 () (tptp.gt @t1 @t2)) % 0.38/0.62 (define @t5 () (tptp.gt @t2 @t1)) % 0.38/0.62 (define @t6 () (@list @t2 @t1)) % 0.38/0.62 (define @t7 () (@var "Z" $$unsorted)) % 0.38/0.62 (define @t8 () (@list @t2 @t1 @t7)) % 0.38/0.62 (define @t9 () (@list @t2)) % 0.38/0.62 (define @t10 () (tptp.leq @t2 @t1)) % 0.38/0.62 (define @t11 () (tptp.succ @t2)) % 0.38/0.62 (define @t12 () (tptp.succ @t1)) % 0.38/0.62 (define @t13 () (@var "C" $$unsorted)) % 0.38/0.62 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.38/0.62 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.38/0.62 (define @t16 () (@list @t2 @t13)) % 0.38/0.62 (define @t17 () (@var "Val" $$unsorted)) % 0.38/0.62 (define @t18 () (@var "I" $$unsorted)) % 0.38/0.62 (define @t19 () (@var "U" $$unsorted)) % 0.38/0.62 (define @t20 () (@var "L" $$unsorted)) % 0.38/0.62 (define @t21 () (tptp.leq @t18 @t19)) % 0.38/0.62 (define @t22 () (@var "J" $$unsorted)) % 0.38/0.62 (define @t23 () (@var "U2" $$unsorted)) % 0.38/0.62 (define @t24 () (@var "L2" $$unsorted)) % 0.38/0.62 (define @t25 () (@var "U1" $$unsorted)) % 0.38/0.62 (define @t26 () (@var "L1" $$unsorted)) % 0.38/0.62 (define @t27 () (@var "A" $$unsorted)) % 0.38/0.62 (define @t28 () (tptp.trans @t27)) % 0.38/0.62 (define @t29 () (@var "N" $$unsorted)) % 0.38/0.62 (define @t30 () (tptp.leq @t22 @t29)) % 0.38/0.62 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.38/0.62 (define @t32 () (tptp.leq @t18 @t29)) % 0.38/0.62 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.38/0.62 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.38/0.62 (define @t35 () (@list @t18 @t22)) % 0.38/0.62 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.38/0.62 (define @t37 () (@list @t27 @t29)) % 0.38/0.62 (define @t38 () (tptp.inv @t27)) % 0.38/0.62 (define @t39 () (@var "VAL" $$unsorted)) % 0.38/0.62 (define @t40 () (@var "K" $$unsorted)) % 0.38/0.62 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.38/0.62 (define @t42 () (tptp.leq tptp.n0 @t40)) % 0.38/0.62 (define @t43 () (@var "B" $$unsorted)) % 0.38/0.62 (define @t44 () (tptp.tptp_madd @t27 @t43)) % 0.38/0.62 (define @t45 () (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))) % 0.38/0.62 (define @t46 () (forall @t35 (=> @t34 @t45))) % 0.38/0.62 (define @t47 () (and @t36 @t46)) % 0.38/0.62 (define @t48 () (@list @t27 @t43 @t29)) % 0.38/0.62 (define @t49 () (tptp.tptp_msub @t27 @t43)) % 0.38/0.62 (define @t50 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t43 @t28))) % 0.38/0.62 (define @t51 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t50 @t18 @t22) (tptp.a_select3 @t50 @t22 @t18))))) % 0.38/0.62 (define @t52 () (@var "M" $$unsorted)) % 0.38/0.62 (define @t53 () (and @t33 (tptp.leq @t18 @t52) @t31 (tptp.leq @t22 @t52))) % 0.38/0.62 (define @t54 () (@var "E" $$unsorted)) % 0.38/0.62 (define @t55 () (@var "F" $$unsorted)) % 0.38/0.62 (define @t56 () (@var "D" $$unsorted)) % 0.38/0.62 (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))))) % 0.38/0.62 (define @t58 () (@var "Body" $$unsorted)) % 0.38/0.62 (define @t59 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t58)) % 0.38/0.62 (define @t60 () (@list @t58)) % 0.38/0.62 (define @t61 () (tptp.succ @t11)) % 0.38/0.62 (define @t62 () (tptp.succ @t61)) % 0.38/0.62 (define @t63 () (tptp.succ @t62)) % 0.38/0.62 (define @t64 () (tptp.succ @t63)) % 0.38/0.62 (define @t65 () (tptp.pred @t2)) % 0.38/0.62 (define @t66 () (@var "V" $$unsorted)) % 0.38/0.62 (define @t67 () (tptp.tptp_update3 @t2 @t19 @t66 @t39)) % 0.38/0.62 (define @t68 () (@var "VAL2" $$unsorted)) % 0.38/0.62 (define @t69 () (not (= @t18 @t19))) % 0.38/0.62 (define @t70 () (@var "J0" $$unsorted)) % 0.38/0.62 (define @t71 () (@var "I0" $$unsorted)) % 0.38/0.62 (define @t72 () (tptp.leq @t71 @t19)) % 0.38/0.62 (define @t73 () (tptp.leq tptp.n0 @t71)) % 0.38/0.62 (define @t74 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.38/0.62 (define @t75 () (tptp.a_select2 tptp.mu_init @t52)) % 0.38/0.62 (define @t76 () (tptp.leq @t52 tptp.n4)) % 0.38/0.62 (define @t77 () (tptp.leq tptp.n0 @t52)) % 0.38/0.62 (define @t78 () (and @t77 @t76)) % 0.38/0.62 (define @t79 () (=> @t78 (= @t75 tptp.init))) % 0.38/0.62 (define @t80 () (@list @t52)) % 0.38/0.62 (define @t81 () (forall @t80 @t79)) % 0.38/0.62 (define @t82 () (tptp.a_select2 tptp.sigmaold_init @t20)) % 0.38/0.62 (define @t83 () (tptp.leq @t20 tptp.n4)) % 0.38/0.62 (define @t84 () (tptp.leq tptp.n0 @t20)) % 0.38/0.62 (define @t85 () (and @t84 @t83)) % 0.38/0.62 (define @t86 () (=> @t85 (= @t82 tptp.init))) % 0.38/0.62 (define @t87 () (@list @t20)) % 0.38/0.62 (define @t88 () (forall @t87 @t86)) % 0.38/0.62 (define @t89 () (tptp.a_select2 tptp.rhoold_init @t40)) % 0.38/0.62 (define @t90 () (tptp.leq @t40 tptp.n4)) % 0.38/0.62 (define @t91 () (and @t42 @t90)) % 0.38/0.62 (define @t92 () (=> @t91 (= @t89 tptp.init))) % 0.38/0.62 (define @t93 () (@list @t40)) % 0.38/0.62 (define @t94 () (forall @t93 @t92)) % 0.38/0.62 (define @t95 () (tptp.a_select2 tptp.muold_init @t22)) % 0.38/0.62 (define @t96 () (tptp.leq @t22 tptp.n4)) % 0.38/0.62 (define @t97 () (and @t31 @t96)) % 0.38/0.62 (define @t98 () (=> @t97 (= @t95 tptp.init))) % 0.38/0.62 (define @t99 () (@list @t22)) % 0.38/0.62 (define @t100 () (forall @t99 @t98)) % 0.38/0.62 (define @t101 () (tptp.a_select2 tptp.sigmaold_init @t18)) % 0.38/0.62 (define @t102 () (tptp.leq @t18 tptp.n4)) % 0.38/0.62 (define @t103 () (and @t33 @t102)) % 0.38/0.62 (define @t104 () (=> @t103 (= @t101 tptp.init))) % 0.38/0.62 (define @t105 () (@list @t18)) % 0.38/0.62 (define @t106 () (forall @t105 @t104)) % 0.38/0.62 (define @t107 () (tptp.gt tptp.loopcounter tptp.n1)) % 0.38/0.62 (define @t108 () (=> @t107 @t106)) % 0.38/0.62 (define @t109 () (@var "H" $$unsorted)) % 0.38/0.62 (define @t110 () (tptp.a_select2 tptp.rhoold_init @t109)) % 0.38/0.62 (define @t111 () (tptp.leq @t109 tptp.n4)) % 0.38/0.62 (define @t112 () (tptp.leq tptp.n0 @t109)) % 0.38/0.62 (define @t113 () (and @t112 @t111)) % 0.38/0.62 (define @t114 () (=> @t113 (= @t110 tptp.init))) % 0.38/0.62 (define @t115 () (@list @t109)) % 0.38/0.62 (define @t116 () (forall @t115 @t114)) % 0.38/0.62 (define @t117 () (=> @t107 @t116)) % 0.38/0.62 (define @t118 () (@var "G" $$unsorted)) % 0.38/0.62 (define @t119 () (tptp.a_select2 tptp.muold_init @t118)) % 0.38/0.62 (define @t120 () (tptp.leq @t118 tptp.n4)) % 0.38/0.62 (define @t121 () (tptp.leq tptp.n0 @t118)) % 0.38/0.62 (define @t122 () (and @t121 @t120)) % 0.38/0.62 (define @t123 () (=> @t122 (= @t119 tptp.init))) % 0.38/0.62 (define @t124 () (@list @t118)) % 0.38/0.62 (define @t125 () (forall @t124 @t123)) % 0.38/0.62 (define @t126 () (=> @t107 @t125)) % 0.38/0.62 (define @t127 () (tptp.a_select3 tptp.center_init @t55 tptp.n0)) % 0.38/0.62 (define @t128 () (tptp.leq @t55 tptp.n4)) % 0.38/0.62 (define @t129 () (tptp.leq tptp.n0 @t55)) % 0.38/0.62 (define @t130 () (and @t129 @t128)) % 0.38/0.62 (define @t131 () (=> @t130 (= @t127 tptp.init))) % 0.38/0.62 (define @t132 () (@list @t55)) % 0.38/0.62 (define @t133 () (forall @t132 @t131)) % 0.38/0.62 (define @t134 () (tptp.a_select2 tptp.sigma_init @t54)) % 0.38/0.62 (define @t135 () (tptp.leq @t54 tptp.n4)) % 0.38/0.62 (define @t136 () (tptp.leq tptp.n0 @t54)) % 0.38/0.62 (define @t137 () (and @t136 @t135)) % 0.38/0.62 (define @t138 () (=> @t137 (= @t134 tptp.init))) % 0.38/0.62 (define @t139 () (@list @t54)) % 0.38/0.62 (define @t140 () (forall @t139 @t138)) % 0.38/0.62 (define @t141 () (tptp.a_select2 tptp.mu_init @t56)) % 0.38/0.62 (define @t142 () (tptp.leq @t56 tptp.n4)) % 0.38/0.62 (define @t143 () (tptp.leq tptp.n0 @t56)) % 0.38/0.62 (define @t144 () (and @t143 @t142)) % 0.38/0.62 (define @t145 () (=> @t144 (= @t141 tptp.init))) % 0.38/0.62 (define @t146 () (@list @t56)) % 0.38/0.62 (define @t147 () (forall @t146 @t145)) % 0.38/0.62 (define @t148 () (tptp.a_select2 tptp.rho_init @t13)) % 0.38/0.62 (define @t149 () (tptp.leq @t13 tptp.n4)) % 0.38/0.62 (define @t150 () (tptp.leq tptp.n0 @t13)) % 0.38/0.62 (define @t151 () (and @t150 @t149)) % 0.38/0.62 (define @t152 () (=> @t151 (= @t148 tptp.init))) % 0.38/0.62 (define @t153 () (@list @t13)) % 0.38/0.62 (define @t154 () (forall @t153 @t152)) % 0.38/0.62 (define @t155 () (tptp.a_select3 tptp.q_init @t27 @t43)) % 0.38/0.62 (define @t156 () (tptp.leq @t43 tptp.n4)) % 0.38/0.62 (define @t157 () (tptp.leq tptp.n0 @t43)) % 0.38/0.62 (define @t158 () (and @t157 @t156)) % 0.38/0.62 (define @t159 () (=> @t158 (= @t155 tptp.init))) % 0.38/0.62 (define @t160 () (@list @t43)) % 0.38/0.62 (define @t161 () (forall @t160 @t159)) % 0.38/0.62 (define @t162 () (tptp.leq @t27 tptp.n135299)) % 0.38/0.62 (define @t163 () (tptp.leq tptp.n0 @t27)) % 0.38/0.62 (define @t164 () (and @t163 @t162)) % 0.38/0.62 (define @t165 () (=> @t164 @t161)) % 0.38/0.62 (define @t166 () (@list @t27)) % 0.38/0.62 (define @t167 () (forall @t166 @t165)) % 0.38/0.62 (define @t168 () (tptp.gt tptp.loopcounter tptp.n0)) % 0.38/0.62 (define @t169 () (and @t168 @t167 @t154 @t147 @t140 @t133 @t126 @t117 @t108 @t100 @t94 @t88)) % 0.38/0.62 (define @t170 () (=> @t169 @t81)) % 0.38/0.62 (define @t171 () (not @t170)) % 0.38/0.62 (define @t172 () (= @t2 tptp.n4)) % 0.38/0.62 (define @t173 () (= @t2 tptp.n3)) % 0.38/0.62 (define @t174 () (= @t2 tptp.n2)) % 0.38/0.62 (define @t175 () (= @t2 tptp.n1)) % 0.38/0.62 (define @t176 () (= @t2 tptp.n0)) % 0.38/0.62 (define @t177 () (tptp.succ tptp.n0)) % 0.38/0.62 (define @t178 () (tptp.succ @t177)) % 0.38/0.62 (define @t179 () (tptp.succ @t178)) % 0.38/0.62 (define @t180 () (tptp.succ @t179)) % 0.38/0.62 (define @t181 () (= tptp.init @t75)) % 0.38/0.62 (define @t182 () (not @t76)) % 0.38/0.62 (define @t183 () (not @t77)) % 0.38/0.62 (define @t184 () (or @t183 @t182 @t181)) % 0.38/0.62 (define @t185 () (= tptp.init @t82)) % 0.38/0.62 (define @t186 () (not @t83)) % 0.38/0.62 (define @t187 () (not @t84)) % 0.38/0.62 (define @t188 () (= tptp.init @t89)) % 0.38/0.62 (define @t189 () (not @t90)) % 0.38/0.62 (define @t190 () (not @t42)) % 0.38/0.62 (define @t191 () (= tptp.init @t95)) % 0.38/0.62 (define @t192 () (not @t96)) % 0.38/0.62 (define @t193 () (not @t31)) % 0.38/0.62 (define @t194 () (= tptp.init @t101)) % 0.38/0.62 (define @t195 () (not @t102)) % 0.38/0.62 (define @t196 () (not @t33)) % 0.38/0.62 (define @t197 () (= tptp.init @t110)) % 0.38/0.62 (define @t198 () (not @t111)) % 0.38/0.62 (define @t199 () (not @t112)) % 0.38/0.62 (define @t200 () (= tptp.init @t119)) % 0.38/0.62 (define @t201 () (not @t120)) % 0.38/0.62 (define @t202 () (not @t121)) % 0.38/0.62 (define @t203 () (= tptp.init @t127)) % 0.38/0.62 (define @t204 () (not @t128)) % 0.38/0.62 (define @t205 () (not @t129)) % 0.38/0.62 (define @t206 () (= tptp.init @t134)) % 0.38/0.62 (define @t207 () (not @t135)) % 0.38/0.62 (define @t208 () (not @t136)) % 0.38/0.62 (define @t209 () (= tptp.init @t141)) % 0.38/0.62 (define @t210 () (not @t142)) % 0.38/0.62 (define @t211 () (not @t143)) % 0.38/0.62 (define @t212 () (or @t211 @t210 @t209)) % 0.38/0.62 (define @t213 () (= tptp.init @t148)) % 0.38/0.62 (define @t214 () (not @t149)) % 0.38/0.62 (define @t215 () (not @t150)) % 0.38/0.62 (define @t216 () (@var "BOUND_VARIABLE_8470" $$unsorted)) % 0.38/0.62 (define @t217 () (= tptp.init (tptp.a_select3 tptp.q_init @t27 @t216))) % 0.38/0.62 (define @t218 () (not (tptp.leq @t216 tptp.n4))) % 0.38/0.62 (define @t219 () (not (tptp.leq tptp.n0 @t216))) % 0.38/0.62 (define @t220 () (not @t162)) % 0.38/0.62 (define @t221 () (not @t163)) % 0.38/0.62 (define @t222 () (or @t219 @t218 @t217)) % 0.38/0.62 (define @t223 () (or @t221 @t220 @t222)) % 0.38/0.62 (define @t224 () (forall (@list @t27 @t216) @t223)) % 0.38/0.62 (define @t225 () (@list @t216)) % 0.38/0.62 (define @t226 () (forall @t225 @t223)) % 0.38/0.62 (define @t227 () (forall @t225 @t222)) % 0.38/0.62 (define @t228 () (or @t221 @t220 @t227)) % 0.38/0.62 (define @t229 () (= tptp.init @t155)) % 0.38/0.62 (define @t230 () (not @t156)) % 0.38/0.62 (define @t231 () (not @t157)) % 0.38/0.62 (define @t232 () (or @t231 @t230 @t229)) % 0.38/0.62 (define @t233 () (forall @t160 @t232)) % 0.38/0.62 (define @t234 () (or @t221 @t220 @t233)) % 0.38/0.62 (define @t235 () (forall @t146 @t212)) % 0.38/0.62 (define @t236 () (forall @t80 @t184)) % 0.38/0.62 (define @t237 () (@list false)) % 0.38/0.62 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.38/0.62 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.38/0.62 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.38/0.62 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.38/0.62 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.38/0.62 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.38/0.62 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.38/0.62 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.38/0.62 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.38/0.62 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.38/0.62 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.38/0.62 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.38/0.62 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.38/0.62 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.38/0.62 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.38/0.62 (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)))) % 0.38/0.62 (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)))) % 0.38/0.62 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.38/0.62 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.38/0.62 (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))))))) % 0.38/0.62 (assume @p21 (forall @t48 (=> @t47 (forall @t35 (=> @t34 (= (tptp.a_select3 @t44 @t18 @t22) (tptp.a_select3 @t44 @t22 @t18))))))) % 0.38/0.62 (assume @p22 (forall @t48 (=> @t47 (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))))) % 0.38/0.62 (assume @p23 (forall @t48 (=> @t46 @t51))) % 0.38/0.62 (assume @p24 (forall (@list @t27 @t43 @t29 @t52) (=> (forall @t35 (=> @t53 @t45)) @t51))) % 0.38/0.62 (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))))))) % 0.38/0.62 (assume @p26 (forall @t60 (= @t59 tptp.n0))) % 0.38/0.62 (assume @p27 (forall @t60 (= tptp.tptp_float_0_0 @t59))) % 0.38/0.62 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.38/0.62 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.38/0.62 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t11))) % 0.38/0.62 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t61))) % 0.38/0.62 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t61))) % 0.38/0.62 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t62))) % 0.38/0.62 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t62))) % 0.38/0.62 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t63))) % 0.38/0.62 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t63))) % 0.38/0.62 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t64))) % 0.38/0.62 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t64))) % 0.38/0.62 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t65))) % 0.38/0.62 (assume @p40 (forall @t9 (= (tptp.pred @t11) @t2))) % 0.38/0.62 (assume @p41 (forall @t9 (= (tptp.succ @t65) @t2))) % 0.38/0.62 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.38/0.62 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.38/0.62 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.38/0.62 (assume @p45 (forall (@list @t2 @t19 @t66 @t39) (= (tptp.a_select3 @t67 @t19 @t66) @t39))) % 0.38/0.62 (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)))) % 0.38/0.62 (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)))) % 0.38/0.62 (assume @p48 (forall (@list @t2 @t19 @t39) (= (tptp.a_select2 @t74 @t19) @t39))) % 0.38/0.62 (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)))) % 0.38/0.62 (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)))) % 0.38/0.62 (assume @p51 tptp.true) % 0.38/0.62 (assume @p52 (not (= tptp.def tptp.use))) % 0.38/0.62 (assume @p53 @t171) % 0.38/0.62 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.38/0.62 (assume @p55 (tptp.gt tptp.n135299 tptp.n4)) % 0.38/0.62 (assume @p56 (tptp.gt tptp.n135299 tptp.n5)) % 0.38/0.62 (assume @p57 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.38/0.62 (assume @p58 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.38/0.62 (assume @p59 (tptp.gt tptp.n135299 tptp.tptp_minus_1)) % 0.38/0.62 (assume @p60 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.38/0.62 (assume @p61 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.38/0.62 (assume @p62 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.38/0.62 (assume @p63 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.38/0.62 (assume @p64 (tptp.gt tptp.n4 tptp.n0)) % 0.38/0.62 (assume @p65 (tptp.gt tptp.n5 tptp.n0)) % 0.38/0.62 (assume @p66 (tptp.gt tptp.n135299 tptp.n0)) % 0.38/0.62 (assume @p67 (tptp.gt tptp.n1 tptp.n0)) % 0.38/0.62 (assume @p68 (tptp.gt tptp.n2 tptp.n0)) % 0.38/0.62 (assume @p69 (tptp.gt tptp.n3 tptp.n0)) % 0.38/0.62 (assume @p70 (tptp.gt tptp.n4 tptp.n1)) % 0.38/0.62 (assume @p71 (tptp.gt tptp.n5 tptp.n1)) % 0.38/0.62 (assume @p72 (tptp.gt tptp.n135299 tptp.n1)) % 0.38/0.62 (assume @p73 (tptp.gt tptp.n2 tptp.n1)) % 0.38/0.62 (assume @p74 (tptp.gt tptp.n3 tptp.n1)) % 0.38/0.62 (assume @p75 (tptp.gt tptp.n4 tptp.n2)) % 0.38/0.62 (assume @p76 (tptp.gt tptp.n5 tptp.n2)) % 0.38/0.62 (assume @p77 (tptp.gt tptp.n135299 tptp.n2)) % 0.38/0.62 (assume @p78 (tptp.gt tptp.n3 tptp.n2)) % 0.38/0.62 (assume @p79 (tptp.gt tptp.n4 tptp.n3)) % 0.38/0.62 (assume @p80 (tptp.gt tptp.n5 tptp.n3)) % 0.38/0.62 (assume @p81 (tptp.gt tptp.n135299 tptp.n3)) % 0.38/0.62 (assume @p82 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t176 @t175 @t174 @t173 @t172)))) % 0.38/0.62 (assume @p83 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t176 @t175 @t174 @t173 @t172 (= @t2 tptp.n5))))) % 0.38/0.62 (assume @p84 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t176))) % 0.38/0.62 (assume @p85 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t176 @t175)))) % 0.38/0.62 (assume @p86 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t176 @t175 @t174)))) % 0.38/0.62 (assume @p87 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t176 @t175 @t174 @t173)))) % 0.38/0.62 (assume @p88 (= @t180 tptp.n4)) % 0.38/0.62 (assume @p89 (= (tptp.succ @t180) tptp.n5)) % 0.38/0.62 (assume @p90 (= @t177 tptp.n1)) % 0.38/0.62 (assume @p91 (= @t178 tptp.n2)) % 0.38/0.62 (assume @p92 (= @t179 tptp.n3)) % 0.38/0.62 (assume @p93 true) % 0.38/0.62 (step @p94 :rule aci_norm :args ((= (or (or @t183 @t182) @t181) @t184))) % 0.38/0.62 (step @p95 :rule refl :args (@t181)) % 0.38/0.62 (step @p96 :rule bool-and-de-morgan :args (@t77 @t76 true)) % 0.38/0.62 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or (not @t78) @t181))) % 0.38/0.62 (step @p98 :rule trans :premises (@p97 @p94)) % 0.38/0.62 (step @p99 :rule bool-impl-elim :args (@t78 @t181)) % 0.38/0.62 (step @p100 :rule trans :premises (@p99 @p98)) % 0.38/0.62 (step @p101 :rule cong :premises (@p100) :args ((forall @t80 (=> @t78 @t181)))) % 0.38/0.62 (step @p102 :rule eq-symm :args (@t75 tptp.init)) % 0.38/0.62 (step @p103 :rule refl :args (@t78)) % 0.38/0.62 (step @p104 :rule cong :premises (@p103 @p102) :args (@t79)) % 0.38/0.62 (step @p105 :rule cong :premises (@p104) :args (@t81)) % 0.38/0.62 (step @p106 :rule trans :premises (@p105 @p101)) % 0.38/0.62 (step @p107 :rule aci_norm :args ((= (or (or @t187 @t186) @t185) (or @t187 @t186 @t185)))) % 0.38/0.62 (step @p108 :rule refl :args (@t185)) % 0.38/0.62 (step @p109 :rule bool-and-de-morgan :args (@t84 @t83 true)) % 0.38/0.62 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or (not @t85) @t185))) % 0.38/0.62 (step @p111 :rule trans :premises (@p110 @p107)) % 0.38/0.62 (step @p112 :rule bool-impl-elim :args (@t85 @t185)) % 0.38/0.62 (step @p113 :rule trans :premises (@p112 @p111)) % 0.38/0.62 (step @p114 :rule cong :premises (@p113) :args ((forall @t87 (=> @t85 @t185)))) % 0.38/0.62 (step @p115 :rule eq-symm :args (@t82 tptp.init)) % 0.38/0.62 (step @p116 :rule refl :args (@t85)) % 0.38/0.62 (step @p117 :rule cong :premises (@p116 @p115) :args (@t86)) % 0.38/0.62 (step @p118 :rule cong :premises (@p117) :args (@t88)) % 0.38/0.62 (step @p119 :rule trans :premises (@p118 @p114)) % 0.38/0.62 (step @p120 :rule aci_norm :args ((= (or (or @t190 @t189) @t188) (or @t190 @t189 @t188)))) % 0.38/0.62 (step @p121 :rule refl :args (@t188)) % 0.38/0.62 (step @p122 :rule bool-and-de-morgan :args (@t42 @t90 true)) % 0.38/0.62 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or (not @t91) @t188))) % 0.38/0.62 (step @p124 :rule trans :premises (@p123 @p120)) % 0.38/0.62 (step @p125 :rule bool-impl-elim :args (@t91 @t188)) % 0.38/0.62 (step @p126 :rule trans :premises (@p125 @p124)) % 0.38/0.62 (step @p127 :rule cong :premises (@p126) :args ((forall @t93 (=> @t91 @t188)))) % 0.38/0.62 (step @p128 :rule eq-symm :args (@t89 tptp.init)) % 0.38/0.62 (step @p129 :rule refl :args (@t91)) % 0.38/0.62 (step @p130 :rule cong :premises (@p129 @p128) :args (@t92)) % 0.38/0.62 (step @p131 :rule cong :premises (@p130) :args (@t94)) % 0.38/0.62 (step @p132 :rule trans :premises (@p131 @p127)) % 0.38/0.62 (step @p133 :rule aci_norm :args ((= (or (or @t193 @t192) @t191) (or @t193 @t192 @t191)))) % 0.38/0.62 (step @p134 :rule refl :args (@t191)) % 0.38/0.62 (step @p135 :rule bool-and-de-morgan :args (@t31 @t96 true)) % 0.38/0.62 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or (not @t97) @t191))) % 0.38/0.62 (step @p137 :rule trans :premises (@p136 @p133)) % 0.38/0.62 (step @p138 :rule bool-impl-elim :args (@t97 @t191)) % 0.38/0.62 (step @p139 :rule trans :premises (@p138 @p137)) % 0.38/0.62 (step @p140 :rule cong :premises (@p139) :args ((forall @t99 (=> @t97 @t191)))) % 0.38/0.62 (step @p141 :rule eq-symm :args (@t95 tptp.init)) % 0.38/0.62 (step @p142 :rule refl :args (@t97)) % 0.38/0.62 (step @p143 :rule cong :premises (@p142 @p141) :args (@t98)) % 0.38/0.62 (step @p144 :rule cong :premises (@p143) :args (@t100)) % 0.38/0.62 (step @p145 :rule trans :premises (@p144 @p140)) % 0.38/0.62 (step @p146 :rule aci_norm :args ((= (or (or @t196 @t195) @t194) (or @t196 @t195 @t194)))) % 0.38/0.62 (step @p147 :rule refl :args (@t194)) % 0.38/0.62 (step @p148 :rule bool-and-de-morgan :args (@t33 @t102 true)) % 0.38/0.62 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or (not @t103) @t194))) % 0.38/0.62 (step @p150 :rule trans :premises (@p149 @p146)) % 0.38/0.62 (step @p151 :rule bool-impl-elim :args (@t103 @t194)) % 0.38/0.62 (step @p152 :rule trans :premises (@p151 @p150)) % 0.38/0.62 (step @p153 :rule cong :premises (@p152) :args ((forall @t105 (=> @t103 @t194)))) % 0.38/0.62 (step @p154 :rule eq-symm :args (@t101 tptp.init)) % 0.38/0.62 (step @p155 :rule refl :args (@t103)) % 0.38/0.62 (step @p156 :rule cong :premises (@p155 @p154) :args (@t104)) % 0.38/0.62 (step @p157 :rule cong :premises (@p156) :args (@t106)) % 0.38/0.62 (step @p158 :rule trans :premises (@p157 @p153)) % 0.38/0.62 (step @p159 :rule refl :args (@t107)) % 0.38/0.62 (step @p160 :rule cong :premises (@p159 @p158) :args (@t108)) % 0.38/0.62 (step @p161 :rule aci_norm :args ((= (or (or @t199 @t198) @t197) (or @t199 @t198 @t197)))) % 0.38/0.62 (step @p162 :rule refl :args (@t197)) % 0.38/0.62 (step @p163 :rule bool-and-de-morgan :args (@t112 @t111 true)) % 0.38/0.62 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or (not @t113) @t197))) % 0.38/0.62 (step @p165 :rule trans :premises (@p164 @p161)) % 0.38/0.62 (step @p166 :rule bool-impl-elim :args (@t113 @t197)) % 0.38/0.62 (step @p167 :rule trans :premises (@p166 @p165)) % 0.38/0.62 (step @p168 :rule cong :premises (@p167) :args ((forall @t115 (=> @t113 @t197)))) % 0.38/0.62 (step @p169 :rule eq-symm :args (@t110 tptp.init)) % 0.38/0.62 (step @p170 :rule refl :args (@t113)) % 0.38/0.62 (step @p171 :rule cong :premises (@p170 @p169) :args (@t114)) % 0.38/0.62 (step @p172 :rule cong :premises (@p171) :args (@t116)) % 0.38/0.62 (step @p173 :rule trans :premises (@p172 @p168)) % 0.38/0.62 (step @p174 :rule cong :premises (@p159 @p173) :args (@t117)) % 0.38/0.62 (step @p175 :rule aci_norm :args ((= (or (or @t202 @t201) @t200) (or @t202 @t201 @t200)))) % 0.38/0.62 (step @p176 :rule refl :args (@t200)) % 0.38/0.62 (step @p177 :rule bool-and-de-morgan :args (@t121 @t120 true)) % 0.38/0.62 (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((or (not @t122) @t200))) % 0.38/0.62 (step @p179 :rule trans :premises (@p178 @p175)) % 0.38/0.62 (step @p180 :rule bool-impl-elim :args (@t122 @t200)) % 0.38/0.62 (step @p181 :rule trans :premises (@p180 @p179)) % 0.38/0.62 (step @p182 :rule cong :premises (@p181) :args ((forall @t124 (=> @t122 @t200)))) % 0.38/0.62 (step @p183 :rule eq-symm :args (@t119 tptp.init)) % 0.38/0.62 (step @p184 :rule refl :args (@t122)) % 0.38/0.62 (step @p185 :rule cong :premises (@p184 @p183) :args (@t123)) % 0.38/0.62 (step @p186 :rule cong :premises (@p185) :args (@t125)) % 0.38/0.62 (step @p187 :rule trans :premises (@p186 @p182)) % 0.38/0.62 (step @p188 :rule cong :premises (@p159 @p187) :args (@t126)) % 0.38/0.62 (step @p189 :rule aci_norm :args ((= (or (or @t205 @t204) @t203) (or @t205 @t204 @t203)))) % 0.38/0.62 (step @p190 :rule refl :args (@t203)) % 0.38/0.62 (step @p191 :rule bool-and-de-morgan :args (@t129 @t128 true)) % 0.38/0.62 (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((or (not @t130) @t203))) % 0.38/0.62 (step @p193 :rule trans :premises (@p192 @p189)) % 0.38/0.62 (step @p194 :rule bool-impl-elim :args (@t130 @t203)) % 0.38/0.62 (step @p195 :rule trans :premises (@p194 @p193)) % 0.38/0.62 (step @p196 :rule cong :premises (@p195) :args ((forall @t132 (=> @t130 @t203)))) % 0.38/0.62 (step @p197 :rule eq-symm :args (@t127 tptp.init)) % 0.38/0.62 (step @p198 :rule refl :args (@t130)) % 0.38/0.62 (step @p199 :rule cong :premises (@p198 @p197) :args (@t131)) % 0.38/0.62 (step @p200 :rule cong :premises (@p199) :args (@t133)) % 0.38/0.62 (step @p201 :rule trans :premises (@p200 @p196)) % 0.38/0.62 (step @p202 :rule aci_norm :args ((= (or (or @t208 @t207) @t206) (or @t208 @t207 @t206)))) % 0.38/0.62 (step @p203 :rule refl :args (@t206)) % 0.38/0.62 (step @p204 :rule bool-and-de-morgan :args (@t136 @t135 true)) % 0.38/0.62 (step @p205 :rule nary_cong :premises (@p204 @p203) :args ((or (not @t137) @t206))) % 0.38/0.62 (step @p206 :rule trans :premises (@p205 @p202)) % 0.38/0.62 (step @p207 :rule bool-impl-elim :args (@t137 @t206)) % 0.38/0.62 (step @p208 :rule trans :premises (@p207 @p206)) % 0.38/0.62 (step @p209 :rule cong :premises (@p208) :args ((forall @t139 (=> @t137 @t206)))) % 0.38/0.62 (step @p210 :rule eq-symm :args (@t134 tptp.init)) % 0.38/0.62 (step @p211 :rule refl :args (@t137)) % 0.38/0.62 (step @p212 :rule cong :premises (@p211 @p210) :args (@t138)) % 0.38/0.62 (step @p213 :rule cong :premises (@p212) :args (@t140)) % 0.38/0.62 (step @p214 :rule trans :premises (@p213 @p209)) % 0.38/0.62 (step @p215 :rule aci_norm :args ((= (or (or @t211 @t210) @t209) @t212))) % 0.38/0.62 (step @p216 :rule refl :args (@t209)) % 0.38/0.62 (step @p217 :rule bool-and-de-morgan :args (@t143 @t142 true)) % 0.38/0.62 (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((or (not @t144) @t209))) % 0.38/0.62 (step @p219 :rule trans :premises (@p218 @p215)) % 0.38/0.62 (step @p220 :rule bool-impl-elim :args (@t144 @t209)) % 0.38/0.62 (step @p221 :rule trans :premises (@p220 @p219)) % 0.38/0.62 (step @p222 :rule cong :premises (@p221) :args ((forall @t146 (=> @t144 @t209)))) % 0.38/0.62 (step @p223 :rule eq-symm :args (@t141 tptp.init)) % 0.38/0.62 (step @p224 :rule refl :args (@t144)) % 0.38/0.62 (step @p225 :rule cong :premises (@p224 @p223) :args (@t145)) % 0.38/0.62 (step @p226 :rule cong :premises (@p225) :args (@t147)) % 0.38/0.62 (step @p227 :rule trans :premises (@p226 @p222)) % 0.38/0.62 (step @p228 :rule aci_norm :args ((= (or (or @t215 @t214) @t213) (or @t215 @t214 @t213)))) % 0.38/0.62 (step @p229 :rule refl :args (@t213)) % 0.38/0.62 (step @p230 :rule bool-and-de-morgan :args (@t150 @t149 true)) % 0.38/0.62 (step @p231 :rule nary_cong :premises (@p230 @p229) :args ((or (not @t151) @t213))) % 0.38/0.62 (step @p232 :rule trans :premises (@p231 @p228)) % 0.38/0.62 (step @p233 :rule bool-impl-elim :args (@t151 @t213)) % 0.38/0.62 (step @p234 :rule trans :premises (@p233 @p232)) % 0.38/0.62 (step @p235 :rule cong :premises (@p234) :args ((forall @t153 (=> @t151 @t213)))) % 0.38/0.62 (step @p236 :rule eq-symm :args (@t148 tptp.init)) % 0.38/0.62 (step @p237 :rule refl :args (@t151)) % 0.38/0.62 (step @p238 :rule cong :premises (@p237 @p236) :args (@t152)) % 0.38/0.62 (step @p239 :rule cong :premises (@p238) :args (@t154)) % 0.38/0.62 (step @p240 :rule trans :premises (@p239 @p235)) % 0.38/0.62 (step @p241 :rule aci_norm :args ((= @t223 (or @t221 @t220 @t219 @t218 @t217)))) % 0.38/0.62 (step @p242 :rule cong :premises (@p241) :args (@t224)) % 0.38/0.62 (step @p243 :rule quant-merge-prenex :args ((= (forall @t166 @t226) @t224))) % 0.38/0.62 (step @p244 :rule alpha_equiv :args (@t227 (@list @t216) (@list @t43))) % 0.38/0.62 (step @p245 :rule refl :args (@t220)) % 0.38/0.62 (step @p246 :rule refl :args (@t221)) % 0.38/0.62 (step @p247 :rule nary_cong :premises (@p246 @p245 @p244) :args (@t228)) % 0.38/0.62 (step @p248 :rule quant-miniscope-or :args ((= @t226 @t228))) % 0.38/0.62 (step @p249 :rule trans :premises (@p248 @p247)) % 0.38/0.62 (step @p250 :rule symm :premises (@p249)) % 0.38/0.62 (step @p251 :rule cong :premises (@p250) :args ((forall @t166 @t234))) % 0.38/0.62 (step @p252 :rule trans :premises (@p251 @p243)) % 0.38/0.62 (step @p253 :rule trans :premises (@p252 @p242)) % 0.38/0.62 (step @p254 :rule aci_norm :args ((= (or (or @t221 @t220) @t233) @t234))) % 0.38/0.62 (step @p255 :rule refl :args (@t233)) % 0.38/0.62 (step @p256 :rule bool-and-de-morgan :args (@t163 @t162 true)) % 0.38/0.62 (step @p257 :rule nary_cong :premises (@p256 @p255) :args ((or (not @t164) @t233))) % 0.38/0.62 (step @p258 :rule trans :premises (@p257 @p254)) % 0.38/0.62 (step @p259 :rule bool-impl-elim :args (@t164 @t233)) % 0.38/0.62 (step @p260 :rule trans :premises (@p259 @p258)) % 0.38/0.62 (step @p261 :rule cong :premises (@p260) :args ((forall @t166 (=> @t164 @t233)))) % 0.38/0.62 (step @p262 :rule trans :premises (@p261 @p253)) % 0.38/0.62 (step @p263 :rule aci_norm :args ((= (or (or @t231 @t230) @t229) @t232))) % 0.38/0.62 (step @p264 :rule refl :args (@t229)) % 0.38/0.62 (step @p265 :rule bool-and-de-morgan :args (@t157 @t156 true)) % 0.38/0.62 (step @p266 :rule nary_cong :premises (@p265 @p264) :args ((or (not @t158) @t229))) % 0.38/0.62 (step @p267 :rule trans :premises (@p266 @p263)) % 0.38/0.62 (step @p268 :rule bool-impl-elim :args (@t158 @t229)) % 0.38/0.62 (step @p269 :rule trans :premises (@p268 @p267)) % 0.38/0.62 (step @p270 :rule cong :premises (@p269) :args ((forall @t160 (=> @t158 @t229)))) % 0.38/0.62 (step @p271 :rule eq-symm :args (@t155 tptp.init)) % 0.38/0.62 (step @p272 :rule refl :args (@t158)) % 0.38/0.62 (step @p273 :rule cong :premises (@p272 @p271) :args (@t159)) % 0.38/0.62 (step @p274 :rule cong :premises (@p273) :args (@t161)) % 0.38/0.62 (step @p275 :rule trans :premises (@p274 @p270)) % 0.38/0.62 (step @p276 :rule refl :args (@t164)) % 0.38/0.62 (step @p277 :rule cong :premises (@p276 @p275) :args (@t165)) % 0.38/0.62 (step @p278 :rule cong :premises (@p277) :args (@t167)) % 0.38/0.62 (step @p279 :rule trans :premises (@p278 @p262)) % 0.38/0.62 (step @p280 :rule refl :args (@t168)) % 0.38/0.62 (step @p281 :rule nary_cong :premises (@p280 @p279 @p240 @p227 @p214 @p201 @p188 @p174 @p160 @p145 @p132 @p119) :args (@t169)) % 0.38/0.62 (step @p282 :rule cong :premises (@p281 @p106) :args (@t170)) % 0.38/0.62 (step @p283 :rule cong :premises (@p282) :args (@t171)) % 0.38/0.62 (step @p284 :rule eq_resolve :premises (@p53 @p283)) % 0.38/0.62 (step @p285 :rule not_implies_elim1 :premises (@p284)) % 0.38/0.62 (step @p286 :rule and_elim :premises (@p285) :args (3)) % 0.38/0.62 (step @p287 :rule alpha_equiv :args (@t235 (@list @t56) (@list @t52))) % 0.38/0.62 (step @p288 :rule equiv_elim1 :premises (@p287)) % 0.38/0.62 (step @p289 :rule reordering :premises (@p288) :args ((or @t236 (not @t235)))) % 0.38/0.62 (step @p290 :rule chain_m_resolution :premises (@p289 @p286) :args (@t236 @t237 (@list @t235))) % 0.38/0.62 (step @p291 :rule not_implies_elim2 :premises (@p284)) % 0.38/0.62 (step @p292 false :rule chain_m_resolution :premises (@p291 @p290) :args (false @t237 (@list @t236))) % 0.38/0.62 ) % 0.38/0.62 % SZS output end Proof % 0.38/0.62 % cvc5 exiting %------------------------------------------------------------------------------