%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV181+1 : TPTP v9.2.1. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 0.54s 0.74s % Output : Proof 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWV181+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n026.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 19:59:10 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.54/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.54/0.74 % SZS status Theorem % 0.54/0.74 % SZS output start Proof % 0.54/0.74 ( % 0.54/0.74 (declare-sort $$unsorted 0) % 0.54/0.74 (declare-const tptp.tptp_float_0_001 $$unsorted) % 0.54/0.74 (declare-const tptp.n135299 $$unsorted) % 0.54/0.74 (declare-const tptp.q_init $$unsorted) % 0.54/0.74 (declare-const tptp.mu_init $$unsorted) % 0.54/0.74 (declare-const tptp.rho_init $$unsorted) % 0.54/0.74 (declare-const tptp.sigma_init $$unsorted) % 0.54/0.74 (declare-const tptp.def $$unsorted) % 0.54/0.74 (declare-const tptp.use $$unsorted) % 0.54/0.74 (declare-const tptp.true Bool) % 0.54/0.74 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.54/0.74 (declare-const tptp.center_init $$unsorted) % 0.54/0.74 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.54/0.74 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.54/0.74 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.54/0.74 (declare-const tptp.loopcounter $$unsorted) % 0.54/0.74 (declare-const tptp.n3 $$unsorted) % 0.54/0.74 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.54/0.74 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.54/0.74 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.54/0.74 (declare-const tptp.n0 $$unsorted) % 0.54/0.74 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.54/0.74 (declare-const tptp.n1 $$unsorted) % 0.54/0.74 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.54/0.74 (declare-const tptp.n5 $$unsorted) % 0.54/0.74 (declare-const tptp.pv76 $$unsorted) % 0.54/0.74 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.54/0.74 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.54/0.74 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.54/0.74 (declare-const tptp.init $$unsorted) % 0.54/0.74 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.54/0.74 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.54/0.74 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.54/0.74 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.54/0.74 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.54/0.74 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.54/0.74 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.54/0.74 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.54/0.74 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.54/0.74 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.54/0.74 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.54/0.74 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.54/0.74 (declare-const tptp.muold_init $$unsorted) % 0.54/0.74 (declare-const tptp.n4 $$unsorted) % 0.54/0.74 (declare-const tptp.n2 $$unsorted) % 0.54/0.74 (define @t1 () (@var "Y" $$unsorted)) % 0.54/0.74 (define @t2 () (@var "X" $$unsorted)) % 0.54/0.74 (define @t3 () (= @t2 @t1)) % 0.54/0.74 (define @t4 () (tptp.gt @t1 @t2)) % 0.54/0.74 (define @t5 () (tptp.gt @t2 @t1)) % 0.54/0.74 (define @t6 () (@list @t2 @t1)) % 0.54/0.74 (define @t7 () (@var "Z" $$unsorted)) % 0.54/0.74 (define @t8 () (@list @t2 @t1 @t7)) % 0.54/0.74 (define @t9 () (@list @t2)) % 0.54/0.74 (define @t10 () (tptp.leq @t2 @t7)) % 0.54/0.74 (define @t11 () (tptp.leq @t1 @t7)) % 0.54/0.74 (define @t12 () (tptp.leq @t2 @t1)) % 0.54/0.74 (define @t13 () (and @t12 @t11)) % 0.54/0.74 (define @t14 () (forall @t8 (=> @t13 @t10))) % 0.54/0.74 (define @t15 () (forall @t6 (=> @t4 @t12))) % 0.54/0.74 (define @t16 () (tptp.leq @t2 (tptp.pred @t1))) % 0.54/0.74 (define @t17 () (forall @t6 (= @t16 @t4))) % 0.54/0.74 (define @t18 () (tptp.succ @t2)) % 0.54/0.74 (define @t19 () (tptp.succ @t1)) % 0.54/0.74 (define @t20 () (@var "C" $$unsorted)) % 0.54/0.74 (define @t21 () (tptp.uniform_int_rnd @t20 @t2)) % 0.54/0.74 (define @t22 () (tptp.leq tptp.n0 @t2)) % 0.54/0.74 (define @t23 () (@list @t2 @t20)) % 0.54/0.74 (define @t24 () (@var "Val" $$unsorted)) % 0.54/0.74 (define @t25 () (@var "I" $$unsorted)) % 0.54/0.74 (define @t26 () (@var "U" $$unsorted)) % 0.54/0.74 (define @t27 () (@var "L" $$unsorted)) % 0.54/0.74 (define @t28 () (tptp.leq @t25 @t26)) % 0.54/0.74 (define @t29 () (@var "J" $$unsorted)) % 0.54/0.74 (define @t30 () (@var "U2" $$unsorted)) % 0.54/0.74 (define @t31 () (@var "L2" $$unsorted)) % 0.54/0.74 (define @t32 () (@var "U1" $$unsorted)) % 0.54/0.74 (define @t33 () (@var "L1" $$unsorted)) % 0.54/0.74 (define @t34 () (@var "A" $$unsorted)) % 0.54/0.74 (define @t35 () (tptp.trans @t34)) % 0.54/0.74 (define @t36 () (@var "N" $$unsorted)) % 0.54/0.74 (define @t37 () (tptp.leq @t29 @t36)) % 0.54/0.74 (define @t38 () (tptp.leq tptp.n0 @t29)) % 0.54/0.74 (define @t39 () (tptp.leq @t25 @t36)) % 0.54/0.74 (define @t40 () (tptp.leq tptp.n0 @t25)) % 0.54/0.74 (define @t41 () (and @t40 @t39 @t38 @t37)) % 0.54/0.74 (define @t42 () (@list @t25 @t29)) % 0.54/0.74 (define @t43 () (forall @t42 (=> @t41 (= (tptp.a_select3 @t34 @t25 @t29) (tptp.a_select3 @t34 @t29 @t25))))) % 0.54/0.74 (define @t44 () (@list @t34 @t36)) % 0.54/0.74 (define @t45 () (tptp.inv @t34)) % 0.54/0.74 (define @t46 () (@var "VAL" $$unsorted)) % 0.54/0.74 (define @t47 () (@var "K" $$unsorted)) % 0.54/0.74 (define @t48 () (tptp.tptp_update3 @t34 @t47 @t47 @t46)) % 0.54/0.74 (define @t49 () (@var "B" $$unsorted)) % 0.54/0.74 (define @t50 () (tptp.tptp_madd @t34 @t49)) % 0.54/0.74 (define @t51 () (= (tptp.a_select3 @t49 @t25 @t29) (tptp.a_select3 @t49 @t29 @t25))) % 0.54/0.74 (define @t52 () (forall @t42 (=> @t41 @t51))) % 0.54/0.74 (define @t53 () (and @t43 @t52)) % 0.54/0.74 (define @t54 () (@list @t34 @t49 @t36)) % 0.54/0.74 (define @t55 () (tptp.tptp_msub @t34 @t49)) % 0.54/0.74 (define @t56 () (tptp.tptp_mmul @t34 (tptp.tptp_mmul @t49 @t35))) % 0.54/0.74 (define @t57 () (forall @t42 (=> @t41 (= (tptp.a_select3 @t56 @t25 @t29) (tptp.a_select3 @t56 @t29 @t25))))) % 0.54/0.74 (define @t58 () (@var "M" $$unsorted)) % 0.54/0.74 (define @t59 () (and @t40 (tptp.leq @t25 @t58) @t38 (tptp.leq @t29 @t58))) % 0.54/0.74 (define @t60 () (@var "E" $$unsorted)) % 0.54/0.74 (define @t61 () (@var "F" $$unsorted)) % 0.54/0.74 (define @t62 () (@var "D" $$unsorted)) % 0.54/0.74 (define @t63 () (tptp.tptp_madd @t34 (tptp.tptp_mmul @t49 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t20 (tptp.tptp_mmul @t62 (tptp.trans @t20))) (tptp.tptp_mmul @t60 (tptp.tptp_mmul @t61 (tptp.trans @t60)))) (tptp.trans @t49))))) % 0.54/0.74 (define @t64 () (@var "Body" $$unsorted)) % 0.54/0.74 (define @t65 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t64)) % 0.54/0.74 (define @t66 () (@list @t64)) % 0.54/0.74 (define @t67 () (tptp.succ tptp.tptp_minus_1)) % 0.54/0.74 (define @t68 () (tptp.plus @t2 tptp.n1)) % 0.54/0.74 (define @t69 () (forall @t9 (= @t68 @t18))) % 0.54/0.74 (define @t70 () (tptp.plus tptp.n1 @t2)) % 0.54/0.74 (define @t71 () (forall @t9 (= @t70 @t18))) % 0.54/0.74 (define @t72 () (tptp.succ @t18)) % 0.54/0.74 (define @t73 () (tptp.plus tptp.n2 @t2)) % 0.54/0.74 (define @t74 () (forall @t9 (= @t73 @t72))) % 0.54/0.74 (define @t75 () (tptp.succ @t72)) % 0.54/0.74 (define @t76 () (tptp.plus tptp.n3 @t2)) % 0.54/0.74 (define @t77 () (forall @t9 (= @t76 @t75))) % 0.54/0.74 (define @t78 () (tptp.succ @t75)) % 0.54/0.74 (define @t79 () (tptp.succ @t78)) % 0.54/0.74 (define @t80 () (tptp.pred @t2)) % 0.54/0.74 (define @t81 () (tptp.pred @t18)) % 0.54/0.74 (define @t82 () (forall @t9 (= @t81 @t2))) % 0.54/0.74 (define @t83 () (tptp.leq @t18 @t1)) % 0.54/0.74 (define @t84 () (forall @t6 (=> @t83 @t4))) % 0.54/0.74 (define @t85 () (@var "V" $$unsorted)) % 0.54/0.74 (define @t86 () (tptp.tptp_update3 @t2 @t26 @t85 @t46)) % 0.54/0.74 (define @t87 () (@var "VAL2" $$unsorted)) % 0.54/0.74 (define @t88 () (not (= @t25 @t26))) % 0.54/0.74 (define @t89 () (@var "J0" $$unsorted)) % 0.54/0.74 (define @t90 () (@var "I0" $$unsorted)) % 0.54/0.74 (define @t91 () (tptp.leq @t90 @t26)) % 0.54/0.74 (define @t92 () (tptp.leq tptp.n0 @t90)) % 0.54/0.74 (define @t93 () (tptp.tptp_update2 @t2 @t26 @t46)) % 0.54/0.74 (define @t94 () (@var "G" $$unsorted)) % 0.54/0.74 (define @t95 () (tptp.a_select2 tptp.muold_init @t94)) % 0.54/0.74 (define @t96 () (tptp.leq @t94 tptp.n4)) % 0.54/0.74 (define @t97 () (tptp.leq tptp.n0 @t94)) % 0.54/0.74 (define @t98 () (and @t97 @t96)) % 0.54/0.74 (define @t99 () (=> @t98 (= @t95 tptp.init))) % 0.54/0.74 (define @t100 () (@list @t94)) % 0.54/0.74 (define @t101 () (forall @t100 @t99)) % 0.54/0.74 (define @t102 () (tptp.a_select2 tptp.sigma_init @t61)) % 0.54/0.74 (define @t103 () (tptp.leq @t61 tptp.n4)) % 0.54/0.74 (define @t104 () (tptp.leq tptp.n0 @t61)) % 0.54/0.74 (define @t105 () (and @t104 @t103)) % 0.54/0.74 (define @t106 () (=> @t105 (= @t102 tptp.init))) % 0.54/0.74 (define @t107 () (@list @t61)) % 0.54/0.74 (define @t108 () (forall @t107 @t106)) % 0.54/0.74 (define @t109 () (tptp.gt tptp.loopcounter tptp.n0)) % 0.54/0.74 (define @t110 () (=> @t109 @t108)) % 0.54/0.74 (define @t111 () (tptp.a_select2 tptp.rho_init @t60)) % 0.54/0.74 (define @t112 () (tptp.leq @t60 tptp.n4)) % 0.54/0.74 (define @t113 () (tptp.leq tptp.n0 @t60)) % 0.54/0.74 (define @t114 () (and @t113 @t112)) % 0.54/0.74 (define @t115 () (=> @t114 (= @t111 tptp.init))) % 0.54/0.74 (define @t116 () (@list @t60)) % 0.54/0.74 (define @t117 () (forall @t116 @t115)) % 0.54/0.74 (define @t118 () (=> @t109 @t117)) % 0.54/0.74 (define @t119 () (tptp.a_select2 tptp.mu_init @t62)) % 0.54/0.74 (define @t120 () (tptp.leq @t62 tptp.n4)) % 0.54/0.74 (define @t121 () (tptp.leq tptp.n0 @t62)) % 0.54/0.74 (define @t122 () (and @t121 @t120)) % 0.54/0.74 (define @t123 () (=> @t122 (= @t119 tptp.init))) % 0.54/0.74 (define @t124 () (@list @t62)) % 0.54/0.74 (define @t125 () (forall @t124 @t123)) % 0.54/0.74 (define @t126 () (=> @t109 @t125)) % 0.54/0.74 (define @t127 () (tptp.a_select3 tptp.center_init @t20 tptp.n0)) % 0.54/0.74 (define @t128 () (tptp.leq @t20 tptp.n4)) % 0.54/0.74 (define @t129 () (tptp.leq tptp.n0 @t20)) % 0.54/0.74 (define @t130 () (and @t129 @t128)) % 0.54/0.74 (define @t131 () (=> @t130 (= @t127 tptp.init))) % 0.54/0.74 (define @t132 () (@list @t20)) % 0.54/0.74 (define @t133 () (forall @t132 @t131)) % 0.54/0.74 (define @t134 () (tptp.a_select3 tptp.q_init @t34 @t49)) % 0.54/0.74 (define @t135 () (tptp.leq @t49 tptp.n4)) % 0.54/0.74 (define @t136 () (tptp.leq tptp.n0 @t49)) % 0.54/0.74 (define @t137 () (and @t136 @t135)) % 0.54/0.74 (define @t138 () (=> @t137 (= @t134 tptp.init))) % 0.54/0.74 (define @t139 () (@list @t49)) % 0.54/0.74 (define @t140 () (forall @t139 @t138)) % 0.54/0.74 (define @t141 () (tptp.leq @t34 tptp.n135299)) % 0.54/0.74 (define @t142 () (tptp.leq tptp.n0 @t34)) % 0.54/0.74 (define @t143 () (and @t142 @t141)) % 0.54/0.74 (define @t144 () (=> @t143 @t140)) % 0.54/0.74 (define @t145 () (@list @t34)) % 0.54/0.74 (define @t146 () (forall @t145 @t144)) % 0.54/0.74 (define @t147 () (tptp.gt tptp.n1 tptp.loopcounter)) % 0.54/0.74 (define @t148 () (tptp.leq tptp.n1 tptp.loopcounter)) % 0.54/0.74 (define @t149 () (tptp.leq tptp.tptp_float_0_001 tptp.pv76)) % 0.54/0.74 (define @t150 () (and @t149 @t148 @t147 @t146 @t133 @t126 @t118 @t110)) % 0.54/0.74 (define @t151 () (=> @t150 @t101)) % 0.54/0.74 (define @t152 () (not @t151)) % 0.54/0.74 (define @t153 () (tptp.gt tptp.n1 tptp.n0)) % 0.54/0.74 (define @t154 () (= @t2 tptp.n4)) % 0.54/0.74 (define @t155 () (= @t2 tptp.n3)) % 0.54/0.74 (define @t156 () (= @t2 tptp.n2)) % 0.54/0.74 (define @t157 () (= @t2 tptp.n1)) % 0.54/0.74 (define @t158 () (= @t2 tptp.n0)) % 0.54/0.74 (define @t159 () (tptp.leq @t2 tptp.n0)) % 0.54/0.74 (define @t160 () (and @t22 @t159)) % 0.54/0.74 (define @t161 () (forall @t9 (=> @t160 @t158))) % 0.54/0.74 (define @t162 () (tptp.succ tptp.n0)) % 0.54/0.74 (define @t163 () (tptp.succ @t162)) % 0.54/0.74 (define @t164 () (tptp.succ @t163)) % 0.54/0.74 (define @t165 () (tptp.succ @t164)) % 0.54/0.74 (define @t166 () (= tptp.init @t95)) % 0.54/0.74 (define @t167 () (not @t96)) % 0.54/0.74 (define @t168 () (not @t97)) % 0.54/0.74 (define @t169 () (or @t168 @t167 @t166)) % 0.54/0.74 (define @t170 () (@quantifiers_skolemize (forall @t100 @t169) 0)) % 0.54/0.74 (define @t171 () (= tptp.init @t102)) % 0.54/0.74 (define @t172 () (not @t103)) % 0.54/0.74 (define @t173 () (not @t104)) % 0.54/0.74 (define @t174 () (= tptp.init @t111)) % 0.54/0.74 (define @t175 () (not @t112)) % 0.54/0.74 (define @t176 () (not @t113)) % 0.54/0.74 (define @t177 () (= tptp.init @t119)) % 0.54/0.74 (define @t178 () (not @t120)) % 0.54/0.74 (define @t179 () (not @t121)) % 0.54/0.74 (define @t180 () (= tptp.init @t127)) % 0.54/0.74 (define @t181 () (not @t128)) % 0.54/0.74 (define @t182 () (not @t129)) % 0.54/0.74 (define @t183 () (@var "BOUND_VARIABLE_8426" $$unsorted)) % 0.54/0.74 (define @t184 () (= tptp.init (tptp.a_select3 tptp.q_init @t34 @t183))) % 0.54/0.74 (define @t185 () (not (tptp.leq @t183 tptp.n4))) % 0.54/0.74 (define @t186 () (not (tptp.leq tptp.n0 @t183))) % 0.54/0.74 (define @t187 () (not @t141)) % 0.54/0.74 (define @t188 () (not @t142)) % 0.54/0.74 (define @t189 () (or @t186 @t185 @t184)) % 0.54/0.74 (define @t190 () (or @t188 @t187 @t189)) % 0.54/0.74 (define @t191 () (forall (@list @t34 @t183) @t190)) % 0.54/0.74 (define @t192 () (@list @t183)) % 0.54/0.74 (define @t193 () (forall @t192 @t190)) % 0.54/0.74 (define @t194 () (forall @t192 @t189)) % 0.54/0.74 (define @t195 () (or @t188 @t187 @t194)) % 0.54/0.74 (define @t196 () (= tptp.init @t134)) % 0.54/0.74 (define @t197 () (not @t135)) % 0.54/0.74 (define @t198 () (not @t136)) % 0.54/0.74 (define @t199 () (or @t198 @t197 @t196)) % 0.54/0.74 (define @t200 () (forall @t139 @t199)) % 0.54/0.74 (define @t201 () (or @t188 @t187 @t200)) % 0.54/0.74 (define @t202 () (tptp.leq tptp.n0 @t170)) % 0.54/0.74 (define @t203 () (tptp.leq @t170 tptp.n4)) % 0.54/0.74 (define @t204 () (not @t203)) % 0.54/0.74 (define @t205 () (not @t202)) % 0.54/0.74 (define @t206 () (or @t205 @t204 (= tptp.init (tptp.a_select2 tptp.muold_init @t170)))) % 0.54/0.74 (define @t207 () (@list true)) % 0.54/0.74 (define @t208 () (@list @t206)) % 0.54/0.74 (define @t209 () (tptp.leq @t67 @t170)) % 0.54/0.74 (define @t210 () (tptp.gt @t170 tptp.tptp_minus_1)) % 0.54/0.74 (define @t211 () (not @t209)) % 0.54/0.74 (define @t212 () (or @t211 @t210)) % 0.54/0.74 (define @t213 () (@list false false)) % 0.54/0.74 (define @t214 () (not @t159)) % 0.54/0.74 (define @t215 () (not @t22)) % 0.54/0.74 (define @t216 () (or @t215 @t214 @t158)) % 0.54/0.74 (define @t217 () (tptp.leq @t162 tptp.n0)) % 0.54/0.74 (define @t218 () (not @t217)) % 0.54/0.74 (define @t219 () (tptp.leq tptp.n0 @t162)) % 0.54/0.74 (define @t220 () (not @t219)) % 0.54/0.74 (define @t221 () (or @t220 @t218 (= @t162 tptp.n0))) % 0.54/0.74 (define @t222 () (forall @t9 @t216)) % 0.54/0.74 (define @t223 () (@list @t162)) % 0.54/0.74 (define @t224 () (= tptp.n0 @t162)) % 0.54/0.74 (define @t225 () (or @t220 @t218 @t224)) % 0.54/0.74 (define @t226 () (@list false)) % 0.54/0.74 (define @t227 () (@list @t222)) % 0.54/0.74 (define @t228 () (not @t11)) % 0.54/0.74 (define @t229 () (not @t12)) % 0.54/0.74 (define @t230 () (tptp.leq tptp.loopcounter (tptp.pred tptp.n1))) % 0.54/0.74 (define @t231 () (= @t147 @t230)) % 0.54/0.74 (define @t232 () (tptp.pred @t162)) % 0.54/0.74 (define @t233 () (@list tptp.n0)) % 0.54/0.74 (define @t234 () (tptp.leq tptp.loopcounter tptp.n0)) % 0.54/0.74 (define @t235 () (tptp.leq tptp.n1 tptp.n0)) % 0.54/0.74 (define @t236 () (not @t234)) % 0.54/0.74 (define @t237 () (not @t148)) % 0.54/0.74 (define @t238 () (or @t237 @t236 @t235)) % 0.54/0.74 (define @t239 () (@list false false false)) % 0.54/0.74 (define @t240 () (tptp.leq tptp.n0 tptp.n1)) % 0.54/0.74 (define @t241 () (not @t153)) % 0.54/0.74 (define @t242 () (or @t241 @t240)) % 0.54/0.74 (define @t243 () (tptp.leq @t170 tptp.n0)) % 0.54/0.74 (define @t244 () (not @t243)) % 0.54/0.74 (define @t245 () (or @t205 @t244 (= @t170 tptp.n0))) % 0.54/0.74 (define @t246 () (@list @t170)) % 0.54/0.74 (define @t247 () (= tptp.n0 @t170)) % 0.54/0.74 (define @t248 () (or @t205 @t244 @t247)) % 0.54/0.74 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.54/0.74 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.54/0.74 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.54/0.74 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.54/0.74 (assume @p5 @t14) % 0.54/0.74 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.54/0.74 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.54/0.74 (assume @p8 @t15) % 0.54/0.74 (assume @p9 (forall @t6 (=> (and @t12 (not @t3)) @t4))) % 0.54/0.74 (assume @p10 @t17) % 0.54/0.74 (assume @p11 (forall @t9 (tptp.gt @t18 @t2))) % 0.54/0.74 (assume @p12 (forall @t6 (=> @t12 (tptp.leq @t2 @t19)))) % 0.54/0.74 (assume @p13 (forall @t6 (= @t12 (tptp.gt @t19 @t2)))) % 0.54/0.74 (assume @p14 (forall @t23 (=> @t22 (tptp.leq @t21 @t2)))) % 0.54/0.74 (assume @p15 (forall @t23 (=> @t22 (tptp.leq tptp.n0 @t21)))) % 0.54/0.74 (assume @p16 (forall (@list @t25 @t27 @t26 @t24) (=> (and (tptp.leq @t27 @t25) @t28) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t27 @t26) @t24) @t25) @t24)))) % 0.54/0.74 (assume @p17 (forall (@list @t25 @t33 @t32 @t29 @t31 @t30 @t24) (=> (and (tptp.leq @t33 @t25) (tptp.leq @t25 @t32) (tptp.leq @t31 @t29) (tptp.leq @t29 @t30)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t33 @t32) (tptp.dim @t31 @t30) @t24) @t25 @t29) @t24)))) % 0.54/0.74 (assume @p18 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (= (tptp.a_select3 @t35 @t25 @t29) (tptp.a_select3 @t35 @t29 @t25))))))) % 0.54/0.74 (assume @p19 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (= (tptp.a_select3 @t45 @t25 @t29) (tptp.a_select3 @t45 @t29 @t25))))))) % 0.54/0.74 (assume @p20 (forall @t44 (=> @t43 (forall (@list @t25 @t29 @t47 @t46) (=> (and @t40 @t39 @t38 @t37 (tptp.leq tptp.n0 @t47) (tptp.leq @t47 @t36)) (= (tptp.a_select3 @t48 @t25 @t29) (tptp.a_select3 @t48 @t29 @t25))))))) % 0.54/0.74 (assume @p21 (forall @t54 (=> @t53 (forall @t42 (=> @t41 (= (tptp.a_select3 @t50 @t25 @t29) (tptp.a_select3 @t50 @t29 @t25))))))) % 0.54/0.74 (assume @p22 (forall @t54 (=> @t53 (forall @t42 (=> @t41 (= (tptp.a_select3 @t55 @t25 @t29) (tptp.a_select3 @t55 @t29 @t25))))))) % 0.54/0.74 (assume @p23 (forall @t54 (=> @t52 @t57))) % 0.54/0.74 (assume @p24 (forall (@list @t34 @t49 @t36 @t58) (=> (forall @t42 (=> @t59 @t51)) @t57))) % 0.54/0.74 (assume @p25 (forall (@list @t34 @t49 @t20 @t62 @t60 @t61 @t36 @t58) (=> (and (forall @t42 (=> @t59 (= (tptp.a_select3 @t62 @t25 @t29) (tptp.a_select3 @t62 @t29 @t25)))) @t43 (forall @t42 (=> @t41 (= (tptp.a_select3 @t61 @t25 @t29) (tptp.a_select3 @t61 @t29 @t25))))) (forall @t42 (=> @t41 (= (tptp.a_select3 @t63 @t25 @t29) (tptp.a_select3 @t63 @t29 @t25))))))) % 0.54/0.74 (assume @p26 (forall @t66 (= @t65 tptp.n0))) % 0.54/0.74 (assume @p27 (forall @t66 (= tptp.tptp_float_0_0 @t65))) % 0.54/0.74 (assume @p28 (= @t67 tptp.n0)) % 0.54/0.74 (assume @p29 @t69) % 0.54/0.74 (assume @p30 @t71) % 0.54/0.74 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t72))) % 0.54/0.74 (assume @p32 @t74) % 0.54/0.74 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t75))) % 0.54/0.74 (assume @p34 @t77) % 0.54/0.74 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t78))) % 0.54/0.74 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t78))) % 0.54/0.74 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t79))) % 0.54/0.74 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t79))) % 0.54/0.74 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t80))) % 0.54/0.74 (assume @p40 @t82) % 0.54/0.74 (assume @p41 (forall @t9 (= (tptp.succ @t80) @t2))) % 0.54/0.74 (assume @p42 (forall @t6 (= (tptp.leq @t18 @t19) @t12))) % 0.54/0.74 (assume @p43 @t84) % 0.54/0.74 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.54/0.74 (assume @p45 (forall (@list @t2 @t26 @t85 @t46) (= (tptp.a_select3 @t86 @t26 @t85) @t46))) % 0.54/0.74 (assume @p46 (forall (@list @t25 @t29 @t26 @t85 @t2 @t46 @t87) (=> (and @t88 (= @t29 @t85) (= (tptp.a_select3 @t2 @t26 @t85) @t46)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t25 @t29 @t87) @t26 @t85) @t46)))) % 0.54/0.74 (assume @p47 (forall (@list @t25 @t29 @t26 @t85 @t2 @t46) (=> (and (forall (@list @t90 @t89) (=> (and @t92 (tptp.leq tptp.n0 @t89) @t91 (tptp.leq @t89 @t85)) (= (tptp.a_select3 @t2 @t90 @t89) @t46))) @t40 @t28 @t38 (tptp.leq @t29 @t85)) (= (tptp.a_select3 @t86 @t25 @t29) @t46)))) % 0.54/0.74 (assume @p48 (forall (@list @t2 @t26 @t46) (= (tptp.a_select2 @t93 @t26) @t46))) % 0.54/0.74 (assume @p49 (forall (@list @t25 @t26 @t2 @t46 @t87) (=> (and @t88 (= (tptp.a_select2 @t2 @t26) @t46)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t25 @t87) @t26) @t46)))) % 0.54/0.74 (assume @p50 (forall (@list @t25 @t26 @t2 @t46) (=> (and (forall (@list @t90) (=> (and @t92 @t91) (= (tptp.a_select2 @t2 @t90) @t46))) @t40 @t28) (= (tptp.a_select2 @t93 @t25) @t46)))) % 0.54/0.74 (assume @p51 tptp.true) % 0.54/0.74 (assume @p52 (not (= tptp.def tptp.use))) % 0.54/0.74 (assume @p53 @t152) % 0.54/0.74 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.54/0.74 (assume @p55 (tptp.gt tptp.n135299 tptp.n4)) % 0.54/0.74 (assume @p56 (tptp.gt tptp.n135299 tptp.n5)) % 0.54/0.74 (assume @p57 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.54/0.74 (assume @p58 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.54/0.74 (assume @p59 (tptp.gt tptp.n135299 tptp.tptp_minus_1)) % 0.54/0.74 (assume @p60 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.54/0.74 (assume @p61 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.54/0.74 (assume @p62 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.54/0.74 (assume @p63 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.54/0.74 (assume @p64 (tptp.gt tptp.n4 tptp.n0)) % 0.54/0.74 (assume @p65 (tptp.gt tptp.n5 tptp.n0)) % 0.54/0.74 (assume @p66 (tptp.gt tptp.n135299 tptp.n0)) % 0.54/0.74 (assume @p67 @t153) % 0.54/0.74 (assume @p68 (tptp.gt tptp.n2 tptp.n0)) % 0.54/0.74 (assume @p69 (tptp.gt tptp.n3 tptp.n0)) % 0.54/0.74 (assume @p70 (tptp.gt tptp.n4 tptp.n1)) % 0.54/0.74 (assume @p71 (tptp.gt tptp.n5 tptp.n1)) % 0.54/0.74 (assume @p72 (tptp.gt tptp.n135299 tptp.n1)) % 0.54/0.74 (assume @p73 (tptp.gt tptp.n2 tptp.n1)) % 0.54/0.74 (assume @p74 (tptp.gt tptp.n3 tptp.n1)) % 0.54/0.74 (assume @p75 (tptp.gt tptp.n4 tptp.n2)) % 0.54/0.74 (assume @p76 (tptp.gt tptp.n5 tptp.n2)) % 0.54/0.74 (assume @p77 (tptp.gt tptp.n135299 tptp.n2)) % 0.54/0.74 (assume @p78 (tptp.gt tptp.n3 tptp.n2)) % 0.54/0.74 (assume @p79 (tptp.gt tptp.n4 tptp.n3)) % 0.54/0.74 (assume @p80 (tptp.gt tptp.n5 tptp.n3)) % 0.54/0.74 (assume @p81 (tptp.gt tptp.n135299 tptp.n3)) % 0.54/0.74 (assume @p82 (forall @t9 (=> (and @t22 (tptp.leq @t2 tptp.n4)) (or @t158 @t157 @t156 @t155 @t154)))) % 0.54/0.74 (assume @p83 (forall @t9 (=> (and @t22 (tptp.leq @t2 tptp.n5)) (or @t158 @t157 @t156 @t155 @t154 (= @t2 tptp.n5))))) % 0.54/0.74 (assume @p84 @t161) % 0.54/0.74 (assume @p85 (forall @t9 (=> (and @t22 (tptp.leq @t2 tptp.n1)) (or @t158 @t157)))) % 0.54/0.74 (assume @p86 (forall @t9 (=> (and @t22 (tptp.leq @t2 tptp.n2)) (or @t158 @t157 @t156)))) % 0.54/0.74 (assume @p87 (forall @t9 (=> (and @t22 (tptp.leq @t2 tptp.n3)) (or @t158 @t157 @t156 @t155)))) % 0.54/0.74 (assume @p88 (= @t165 tptp.n4)) % 0.54/0.74 (assume @p89 (= (tptp.succ @t165) tptp.n5)) % 0.54/0.74 (assume @p90 (= @t162 tptp.n1)) % 0.54/0.74 (assume @p91 (= @t163 tptp.n2)) % 0.54/0.74 (assume @p92 (= @t164 tptp.n3)) % 0.54/0.74 (assume @p93 true) % 0.54/0.74 (step @p94 :rule evaluate :args ((= false true))) % 0.54/0.74 (step @p95 :rule bool-impl-elim :args (@t83 @t4)) % 0.54/0.74 (step @p96 :rule cong :premises (@p95) :args (@t84)) % 0.54/0.74 (step @p97 :rule eq_resolve :premises (@p43 @p96)) % 0.54/0.74 (step @p98 :rule instantiate :premises (@p97) :args ((@list tptp.tptp_minus_1 @t170))) % 0.54/0.74 (step @p99 :rule aci_norm :args ((= (or (or @t168 @t167) @t166) @t169))) % 0.54/0.74 (step @p100 :rule refl :args (@t166)) % 0.54/0.74 (step @p101 :rule bool-and-de-morgan :args (@t97 @t96 true)) % 0.54/0.74 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or (not @t98) @t166))) % 0.54/0.74 (step @p103 :rule trans :premises (@p102 @p99)) % 0.54/0.74 (step @p104 :rule bool-impl-elim :args (@t98 @t166)) % 0.54/0.74 (step @p105 :rule trans :premises (@p104 @p103)) % 0.54/0.74 (step @p106 :rule cong :premises (@p105) :args ((forall @t100 (=> @t98 @t166)))) % 0.54/0.74 (step @p107 :rule eq-symm :args (@t95 tptp.init)) % 0.54/0.74 (step @p108 :rule refl :args (@t98)) % 0.54/0.74 (step @p109 :rule cong :premises (@p108 @p107) :args (@t99)) % 0.54/0.74 (step @p110 :rule cong :premises (@p109) :args (@t101)) % 0.54/0.74 (step @p111 :rule trans :premises (@p110 @p106)) % 0.54/0.74 (step @p112 :rule aci_norm :args ((= (or (or @t173 @t172) @t171) (or @t173 @t172 @t171)))) % 0.54/0.74 (step @p113 :rule refl :args (@t171)) % 0.54/0.74 (step @p114 :rule bool-and-de-morgan :args (@t104 @t103 true)) % 0.54/0.74 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or (not @t105) @t171))) % 0.54/0.74 (step @p116 :rule trans :premises (@p115 @p112)) % 0.54/0.74 (step @p117 :rule bool-impl-elim :args (@t105 @t171)) % 0.54/0.74 (step @p118 :rule trans :premises (@p117 @p116)) % 0.54/0.74 (step @p119 :rule cong :premises (@p118) :args ((forall @t107 (=> @t105 @t171)))) % 0.54/0.74 (step @p120 :rule eq-symm :args (@t102 tptp.init)) % 0.54/0.74 (step @p121 :rule refl :args (@t105)) % 0.54/0.74 (step @p122 :rule cong :premises (@p121 @p120) :args (@t106)) % 0.54/0.74 (step @p123 :rule cong :premises (@p122) :args (@t108)) % 0.54/0.74 (step @p124 :rule trans :premises (@p123 @p119)) % 0.54/0.74 (step @p125 :rule refl :args (@t109)) % 0.54/0.74 (step @p126 :rule cong :premises (@p125 @p124) :args (@t110)) % 0.54/0.74 (step @p127 :rule aci_norm :args ((= (or (or @t176 @t175) @t174) (or @t176 @t175 @t174)))) % 0.54/0.74 (step @p128 :rule refl :args (@t174)) % 0.54/0.74 (step @p129 :rule bool-and-de-morgan :args (@t113 @t112 true)) % 0.54/0.74 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or (not @t114) @t174))) % 0.54/0.74 (step @p131 :rule trans :premises (@p130 @p127)) % 0.54/0.74 (step @p132 :rule bool-impl-elim :args (@t114 @t174)) % 0.54/0.74 (step @p133 :rule trans :premises (@p132 @p131)) % 0.54/0.74 (step @p134 :rule cong :premises (@p133) :args ((forall @t116 (=> @t114 @t174)))) % 0.54/0.74 (step @p135 :rule eq-symm :args (@t111 tptp.init)) % 0.54/0.74 (step @p136 :rule refl :args (@t114)) % 0.54/0.74 (step @p137 :rule cong :premises (@p136 @p135) :args (@t115)) % 0.54/0.74 (step @p138 :rule cong :premises (@p137) :args (@t117)) % 0.54/0.74 (step @p139 :rule trans :premises (@p138 @p134)) % 0.54/0.74 (step @p140 :rule cong :premises (@p125 @p139) :args (@t118)) % 0.54/0.74 (step @p141 :rule aci_norm :args ((= (or (or @t179 @t178) @t177) (or @t179 @t178 @t177)))) % 0.54/0.74 (step @p142 :rule refl :args (@t177)) % 0.54/0.74 (step @p143 :rule bool-and-de-morgan :args (@t121 @t120 true)) % 0.54/0.74 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or (not @t122) @t177))) % 0.54/0.74 (step @p145 :rule trans :premises (@p144 @p141)) % 0.54/0.74 (step @p146 :rule bool-impl-elim :args (@t122 @t177)) % 0.54/0.74 (step @p147 :rule trans :premises (@p146 @p145)) % 0.54/0.74 (step @p148 :rule cong :premises (@p147) :args ((forall @t124 (=> @t122 @t177)))) % 0.54/0.74 (step @p149 :rule eq-symm :args (@t119 tptp.init)) % 0.54/0.74 (step @p150 :rule refl :args (@t122)) % 0.54/0.74 (step @p151 :rule cong :premises (@p150 @p149) :args (@t123)) % 0.54/0.74 (step @p152 :rule cong :premises (@p151) :args (@t125)) % 0.54/0.74 (step @p153 :rule trans :premises (@p152 @p148)) % 0.54/0.74 (step @p154 :rule cong :premises (@p125 @p153) :args (@t126)) % 0.54/0.74 (step @p155 :rule aci_norm :args ((= (or (or @t182 @t181) @t180) (or @t182 @t181 @t180)))) % 0.54/0.74 (step @p156 :rule refl :args (@t180)) % 0.54/0.74 (step @p157 :rule bool-and-de-morgan :args (@t129 @t128 true)) % 0.54/0.74 (step @p158 :rule nary_cong :premises (@p157 @p156) :args ((or (not @t130) @t180))) % 0.54/0.74 (step @p159 :rule trans :premises (@p158 @p155)) % 0.54/0.74 (step @p160 :rule bool-impl-elim :args (@t130 @t180)) % 0.54/0.74 (step @p161 :rule trans :premises (@p160 @p159)) % 0.54/0.74 (step @p162 :rule cong :premises (@p161) :args ((forall @t132 (=> @t130 @t180)))) % 0.54/0.74 (step @p163 :rule eq-symm :args (@t127 tptp.init)) % 0.54/0.74 (step @p164 :rule refl :args (@t130)) % 0.54/0.74 (step @p165 :rule cong :premises (@p164 @p163) :args (@t131)) % 0.54/0.74 (step @p166 :rule cong :premises (@p165) :args (@t133)) % 0.54/0.74 (step @p167 :rule trans :premises (@p166 @p162)) % 0.54/0.74 (step @p168 :rule aci_norm :args ((= @t190 (or @t188 @t187 @t186 @t185 @t184)))) % 0.54/0.74 (step @p169 :rule cong :premises (@p168) :args (@t191)) % 0.54/0.74 (step @p170 :rule quant-merge-prenex :args ((= (forall @t145 @t193) @t191))) % 0.54/0.74 (step @p171 :rule alpha_equiv :args (@t194 (@list @t183) (@list @t49))) % 0.54/0.74 (step @p172 :rule refl :args (@t187)) % 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% 0.54/0.74 (step @p217 :rule refl :args (@t206)) % 0.54/0.74 (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((or @t206 (not @t205)))) % 0.54/0.74 (step @p219 :rule cnf_or_neg :args (@t206 0)) % 0.54/0.74 (step @p220 :rule eq_resolve :premises (@p219 @p218)) % 0.54/0.74 (step @p221 :rule reordering :premises (@p220) :args ((or @t202 @t206))) % 0.54/0.74 (step @p222 :rule chain_m_resolution :premises (@p221 @p215) :args (@t202 @t207 @t208)) % 0.54/0.74 (step @p223 :rule true_intro :premises (@p222)) % 0.54/0.74 (step @p224 :rule refl :args (@t170)) % 0.54/0.74 (step @p225 :rule cong :premises (@p28 @p224) :args (@t209)) % 0.54/0.74 (step @p226 :rule trans :premises (@p225 @p223)) % 0.54/0.74 (step @p227 :rule true_elim :premises (@p226)) % 0.54/0.74 (step @p228 :rule cnf_or_pos :args (@t212)) % 0.54/0.74 (step @p229 :rule reordering :premises (@p228) :args ((or @t211 @t210 (not @t212)))) % 0.54/0.74 (step @p230 :rule chain_m_resolution :premises (@p229 @p227 @p98) :args 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% 0.54/0.74 (step @p245 :rule trans :premises (@p244 @p243)) % 0.54/0.74 (step @p246 :rule cong :premises (@p245) :args (@t161)) % 0.54/0.74 (step @p247 :rule eq_resolve :premises (@p84 @p246)) % 0.54/0.74 (step @p248 :rule eq-symm :args (@t162 tptp.n0)) % 0.54/0.74 (step @p249 :rule refl :args (@t218)) % 0.54/0.74 (step @p250 :rule refl :args (@t220)) % 0.54/0.74 (step @p251 :rule nary_cong :premises (@p250 @p249 @p248) :args (@t221)) % 0.54/0.74 (step @p252 :rule refl :args (@t222)) % 0.54/0.74 (step @p253 :rule cong :premises (@p252 @p251) :args ((=> @t222 @t221))) % 0.54/0.74 (assume-push @p383 @t222) % 0.54/0.74 (step @p255 :rule instantiate :premises (@p247) :args (@t223)) % 0.54/0.74 (step-pop @p384 :rule scope :premises (@p255)) % 0.54/0.74 (step @p256 :rule process_scope :premises (@p384) :args (@t221)) % 0.54/0.74 (step @p258 :rule eq_resolve :premises (@p256 @p253)) % 0.54/0.74 (step @p259 :rule implies_elim :premises (@p258)) % 0.54/0.74 (step @p260 :rule chain_m_resolution :premises (@p259 @p247) :args (@t225 @t226 @t227)) % 0.54/0.74 (step @p261 :rule aci_norm :args ((= (or (or @t229 @t228) @t10) (or @t229 @t228 @t10)))) % 0.54/0.74 (step @p262 :rule refl :args (@t10)) % 0.54/0.74 (step @p263 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.54/0.74 (step @p264 :rule nary_cong :premises (@p263 @p262) :args ((or (not @t13) @t10))) % 0.54/0.74 (step @p265 :rule trans :premises (@p264 @p261)) % 0.54/0.74 (step @p266 :rule bool-impl-elim :args (@t13 @t10)) % 0.54/0.74 (step @p267 :rule trans :premises (@p266 @p265)) % 0.54/0.74 (step @p268 :rule cong :premises (@p267) :args (@t14)) % 0.54/0.74 (step @p269 :rule eq_resolve :premises (@p5 @p268)) % 0.54/0.74 (step @p270 :rule instantiate :premises (@p269) :args ((@list tptp.n1 tptp.loopcounter tptp.n0))) % 0.54/0.74 (step @p271 :rule eq-symm :args (@t16 @t4)) % 0.54/0.74 (step @p272 :rule cong :premises (@p271) :args (@t17)) % 0.54/0.74 (step @p273 :rule eq_resolve :premises (@p10 @p272)) % 0.54/0.74 (step @p274 :rule instantiate :premises (@p273) :args ((@list tptp.loopcounter tptp.n1))) % 0.54/0.74 (step @p275 :rule not_implies_elim1 :premises (@p213)) % 0.54/0.74 (step @p276 :rule and_elim :premises (@p275) :args (2)) % 0.54/0.74 (step @p277 :rule cnf_equiv_pos1 :args (@t231)) % 0.54/0.74 (step @p278 :rule reordering :premises (@p277) :args ((or (not @t147) @t230 (not @t231)))) % 0.54/0.74 (step @p279 :rule chain_m_resolution :premises (@p278 @p276 @p274) :args (@t230 @t213 (@list @t147 @t231))) % 0.54/0.74 (step @p280 :rule true_intro :premises (@p279)) % 0.54/0.74 (step @p281 :rule cong :premises (@p90) :args (@t232)) % 0.54/0.74 (step @p282 :rule instantiate :premises (@p234) :args (@t233)) % 0.54/0.74 (step @p283 :rule trans :premises (@p282 @p281)) % 0.54/0.74 (step @p284 :rule refl :args (tptp.loopcounter)) % 0.54/0.74 (step @p285 :rule cong :premises (@p284 @p283) :args (@t234)) % 0.54/0.74 (step @p286 :rule trans :premises (@p285 @p280)) % 0.54/0.74 (step @p287 :rule true_elim :premises (@p286)) % 0.54/0.74 (step @p288 :rule and_elim :premises (@p275) :args (1)) % 0.54/0.74 (step @p289 :rule cnf_or_pos :args (@t238)) % 0.54/0.74 (step @p290 :rule reordering :premises (@p289) :args ((or @t237 @t236 @t235 (not @t238)))) % 0.54/0.74 (step @p291 :rule chain_m_resolution :premises (@p290 @p288 @p287 @p270) :args (@t235 @t239 (@list @t148 @t234 @t238))) % 0.54/0.74 (step @p292 :rule true_intro :premises (@p291)) % 0.54/0.74 (step @p293 :rule refl :args (tptp.n0)) % 0.54/0.74 (step @p294 :rule cong :premises (@p90 @p293) :args (@t217)) % 0.54/0.74 (step @p295 :rule trans :premises (@p294 @p292)) % 0.54/0.74 (step @p296 :rule true_elim :premises (@p295)) % 0.54/0.74 (step @p297 :rule bool-impl-elim :args (@t4 @t12)) % 0.54/0.74 (step @p298 :rule cong :premises (@p297) :args (@t15)) % 0.54/0.74 (step @p299 :rule eq_resolve :premises (@p8 @p298)) % 0.54/0.74 (step @p300 :rule instantiate :premises (@p299) :args ((@list tptp.n0 tptp.n1))) % 0.54/0.74 (step @p301 :rule cnf_or_pos :args (@t242)) % 0.54/0.74 (step @p302 :rule reordering :premises (@p301) :args ((or @t241 @t240 (not @t242)))) % 0.54/0.74 (step @p303 :rule chain_m_resolution :premises (@p302 @p67 @p300) :args (@t240 @t213 (@list @t153 @t242))) % 0.54/0.74 (step @p304 :rule true_intro :premises (@p303)) % 0.54/0.74 (step @p305 :rule cong :premises (@p293 @p90) :args (@t219)) % 0.54/0.74 (step @p306 :rule trans :premises (@p305 @p304)) % 0.54/0.74 (step @p307 :rule true_elim :premises (@p306)) % 0.54/0.74 (step @p308 :rule cnf_or_pos :args (@t225)) % 0.54/0.74 (step @p309 :rule reordering :premises (@p308) :args ((or @t220 @t218 @t224 (not @t225)))) % 0.54/0.74 (step @p310 :rule chain_m_resolution :premises (@p309 @p307 @p296 @p260) :args (@t224 @t239 (@list @t219 @t217 @t225))) % 0.54/0.74 (step @p311 :rule symm :premises (@p310)) % 0.54/0.74 (step @p312 :rule cong :premises (@p311) :args (@t232)) % 0.54/0.74 (step @p313 :rule trans :premises (@p282 @p312 @p238 @p236)) % 0.54/0.74 (step @p314 :rule cong :premises (@p224 @p313) :args ((tptp.gt @t170 tptp.n0))) % 0.54/0.74 (step @p315 :rule eq-symm :args (@t170 tptp.n0)) % 0.54/0.74 (step @p316 :rule refl :args (@t244)) % 0.54/0.74 (step @p317 :rule refl :args (@t205)) % 0.54/0.74 (step @p318 :rule nary_cong :premises (@p317 @p316 @p315) :args (@t245)) % 0.54/0.74 (step @p319 :rule cong :premises (@p252 @p318) :args ((=> @t222 @t245))) % 0.54/0.74 (assume-push @p385 @t222) % 0.54/0.74 (step @p321 :rule instantiate :premises (@p247) :args (@t246)) % 0.54/0.74 (step-pop @p386 :rule scope :premises (@p321)) % 0.54/0.74 (step @p322 :rule process_scope :premises (@p386) :args (@t245)) % 0.54/0.74 (step @p324 :rule eq_resolve :premises (@p322 @p319)) % 0.54/0.74 (step @p325 :rule implies_elim :premises (@p324)) % 0.54/0.74 (step @p326 :rule chain_m_resolution :premises (@p325 @p247) :args (@t248 @t226 @t227)) % 0.54/0.74 (step @p327 :rule bool-double-not-elim :args (@t203)) % 0.54/0.74 (step @p328 :rule nary_cong :premises (@p217 @p327) :args ((or @t206 (not @t204)))) % 0.54/0.74 (step @p329 :rule cnf_or_neg :args (@t206 1)) % 0.54/0.74 (step @p330 :rule eq_resolve :premises (@p329 @p328)) % 0.54/0.74 (step @p331 :rule reordering :premises (@p330) :args ((or @t203 @t206))) % 0.54/0.74 (step @p332 :rule chain_m_resolution :premises (@p331 @p215) :args (@t203 @t207 @t208)) % 0.54/0.74 (step @p333 :rule true_intro :premises (@p332)) % 0.54/0.74 (step @p334 :rule eq-symm :args (@t68 @t18)) % 0.54/0.74 (step @p335 :rule cong :premises (@p334) :args (@t69)) % 0.54/0.74 (step @p336 :rule eq_resolve :premises (@p29 @p335)) % 0.54/0.74 (step @p337 :rule instantiate :premises (@p336) :args ((@list @t164))) % 0.54/0.74 (step @p338 :rule symm :premises (@p337)) % 0.54/0.74 (step @p339 :rule symm :premises (@p92)) % 0.54/0.74 (step @p340 :rule cong :premises (@p339 @p90) :args ((tptp.plus tptp.n3 @t162))) % 0.54/0.74 (step @p341 :rule refl :args (tptp.n3)) % 0.54/0.74 (step @p342 :rule cong :premises (@p341 @p310) :args ((tptp.plus tptp.n3 tptp.n0))) % 0.54/0.74 (step @p343 :rule eq-symm :args (@t76 @t75)) % 0.54/0.74 (step @p344 :rule cong :premises (@p343) :args (@t77)) % 0.54/0.74 (step @p345 :rule eq_resolve :premises (@p34 @p344)) % 0.54/0.74 (step @p346 :rule instantiate :premises (@p345) :args (@t233)) % 0.54/0.74 (step @p347 :rule instantiate :premises (@p336) :args ((@list @t163))) % 0.54/0.74 (step @p348 :rule symm :premises (@p347)) % 0.54/0.74 (step @p349 :rule symm :premises (@p91)) % 0.54/0.74 (step @p350 :rule cong :premises (@p349 @p90) :args ((tptp.plus tptp.n2 @t162))) % 0.54/0.74 (step @p351 :rule refl :args (tptp.n2)) % 0.54/0.74 (step @p352 :rule cong :premises (@p351 @p310) :args ((tptp.plus tptp.n2 tptp.n0))) % 0.54/0.74 (step @p353 :rule eq-symm :args (@t73 @t72)) % 0.54/0.74 (step @p354 :rule cong :premises (@p353) :args (@t74)) % 0.54/0.74 (step @p355 :rule eq_resolve :premises (@p32 @p354)) % 0.54/0.74 (step @p356 :rule instantiate :premises (@p355) :args (@t233)) % 0.54/0.74 (step @p357 :rule instantiate :premises (@p336) :args (@t223)) % 0.54/0.74 (step @p358 :rule symm :premises (@p357)) % 0.54/0.74 (step @p359 :rule symm :premises (@p90)) % 0.54/0.74 (step @p360 :rule cong :premises (@p359 @p90) :args ((tptp.plus tptp.n1 @t162))) % 0.54/0.74 (step @p361 :rule refl :args (tptp.n1)) % 0.54/0.74 (step @p362 :rule cong :premises (@p361 @p310) :args ((tptp.plus tptp.n1 tptp.n0))) % 0.54/0.74 (step @p363 :rule eq-symm :args (@t70 @t18)) % 0.54/0.74 (step @p364 :rule cong :premises (@p363) :args (@t71)) % 0.54/0.74 (step @p365 :rule eq_resolve :premises (@p30 @p364)) % 0.54/0.74 (step @p366 :rule instantiate :premises (@p365) :args (@t233)) % 0.54/0.74 (step @p367 :rule trans :premises (@p359 @p366 @p362 @p360 @p358 @p356 @p352 @p350 @p348 @p346 @p342 @p340 @p338 @p88)) % 0.54/0.74 (step @p368 :rule cong :premises (@p224 @p367) :args ((tptp.leq @t170 tptp.n1))) % 0.54/0.74 (step @p369 :rule trans :premises (@p310 @p90)) % 0.54/0.74 (step @p370 :rule cong :premises (@p224 @p369) :args (@t243)) % 0.54/0.74 (step @p371 :rule trans :premises (@p370 @p368 @p333)) % 0.54/0.74 (step @p372 :rule true_elim :premises (@p371)) % 0.54/0.74 (step @p373 :rule cnf_or_pos :args (@t248)) % 0.54/0.74 (step @p374 :rule reordering :premises (@p373) :args ((or @t205 @t247 @t244 (not @t248)))) % 0.54/0.74 (step @p375 :rule chain_m_resolution :premises (@p374 @p222 @p372 @p326) :args (@t247 @t239 (@list @t202 @t243 @t248))) % 0.54/0.74 (step @p376 :rule symm :premises (@p375)) % 0.54/0.74 (step @p377 :rule cong :premises (@p224 @p376) :args ((tptp.gt @t170 @t170))) % 0.54/0.74 (step @p378 :rule instantiate :premises (@p3) :args (@t246)) % 0.54/0.74 (step @p379 :rule false_intro :premises (@p378)) % 0.54/0.74 (step @p380 :rule symm :premises (@p379)) % 0.54/0.74 (step @p381 :rule trans :premises (@p380 @p377 @p314 @p231)) % 0.54/0.74 (step @p382 false :rule eq_resolve :premises (@p381 @p94)) % 0.54/0.74 ) % 0.54/0.74 % SZS output end Proof % 0.54/0.74 % cvc5 exiting %------------------------------------------------------------------------------