%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV033+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 : n028.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 09:00:23 AM UTC 2026 % Result : Theorem 0.45s 0.69s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV033+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:53:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.69 % SZS status Theorem % 0.45/0.69 % SZS output start Proof % 0.45/0.69 ( % 0.45/0.69 (declare-sort $$unsorted 0) % 0.45/0.69 (declare-const tptp.s_values7_init $$unsorted) % 0.45/0.69 (declare-const tptp.init $$unsorted) % 0.45/0.69 (declare-const tptp.def $$unsorted) % 0.45/0.69 (declare-const tptp.use $$unsorted) % 0.45/0.69 (declare-const tptp.true Bool) % 0.45/0.69 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.simplex7_init $$unsorted) % 0.45/0.69 (declare-const tptp.n3 $$unsorted) % 0.45/0.69 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.45/0.69 (declare-const tptp.n0 $$unsorted) % 0.45/0.69 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.n1 $$unsorted) % 0.45/0.69 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.n5 $$unsorted) % 0.45/0.69 (declare-const tptp.pv1376 $$unsorted) % 0.45/0.69 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.69 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.45/0.69 (declare-const tptp.n4 $$unsorted) % 0.45/0.69 (declare-const tptp.n2 $$unsorted) % 0.45/0.69 (define @t1 () (@var "Y" $$unsorted)) % 0.45/0.69 (define @t2 () (@var "X" $$unsorted)) % 0.45/0.69 (define @t3 () (= @t2 @t1)) % 0.45/0.69 (define @t4 () (tptp.gt @t1 @t2)) % 0.45/0.69 (define @t5 () (tptp.gt @t2 @t1)) % 0.45/0.69 (define @t6 () (@list @t2 @t1)) % 0.45/0.69 (define @t7 () (@var "Z" $$unsorted)) % 0.45/0.69 (define @t8 () (@list @t2 @t1 @t7)) % 0.45/0.69 (define @t9 () (@list @t2)) % 0.45/0.69 (define @t10 () (tptp.leq @t2 @t7)) % 0.45/0.69 (define @t11 () (tptp.leq @t1 @t7)) % 0.45/0.69 (define @t12 () (tptp.leq @t2 @t1)) % 0.45/0.69 (define @t13 () (and @t12 @t11)) % 0.45/0.69 (define @t14 () (forall @t8 (=> @t13 @t10))) % 0.45/0.69 (define @t15 () (forall @t6 (=> @t4 @t12))) % 0.45/0.69 (define @t16 () (tptp.leq @t2 (tptp.pred @t1))) % 0.45/0.69 (define @t17 () (forall @t6 (= @t16 @t4))) % 0.45/0.69 (define @t18 () (tptp.succ @t2)) % 0.45/0.69 (define @t19 () (tptp.succ @t1)) % 0.45/0.69 (define @t20 () (@var "C" $$unsorted)) % 0.45/0.69 (define @t21 () (tptp.uniform_int_rnd @t20 @t2)) % 0.45/0.69 (define @t22 () (tptp.leq tptp.n0 @t2)) % 0.45/0.69 (define @t23 () (@list @t2 @t20)) % 0.45/0.69 (define @t24 () (@var "Val" $$unsorted)) % 0.45/0.69 (define @t25 () (@var "I" $$unsorted)) % 0.45/0.69 (define @t26 () (@var "U" $$unsorted)) % 0.45/0.69 (define @t27 () (@var "L" $$unsorted)) % 0.45/0.69 (define @t28 () (tptp.leq @t25 @t26)) % 0.45/0.69 (define @t29 () (@var "J" $$unsorted)) % 0.45/0.69 (define @t30 () (@var "U2" $$unsorted)) % 0.45/0.69 (define @t31 () (@var "L2" $$unsorted)) % 0.45/0.69 (define @t32 () (@var "U1" $$unsorted)) % 0.45/0.69 (define @t33 () (@var "L1" $$unsorted)) % 0.45/0.69 (define @t34 () (@var "A" $$unsorted)) % 0.45/0.69 (define @t35 () (tptp.trans @t34)) % 0.45/0.69 (define @t36 () (@var "N" $$unsorted)) % 0.45/0.69 (define @t37 () (tptp.leq @t29 @t36)) % 0.45/0.69 (define @t38 () (tptp.leq tptp.n0 @t29)) % 0.45/0.69 (define @t39 () (tptp.leq @t25 @t36)) % 0.45/0.69 (define @t40 () (tptp.leq tptp.n0 @t25)) % 0.45/0.69 (define @t41 () (and @t40 @t39 @t38 @t37)) % 0.45/0.69 (define @t42 () (@list @t25 @t29)) % 0.45/0.69 (define @t43 () (forall @t42 (=> @t41 (= (tptp.a_select3 @t34 @t25 @t29) (tptp.a_select3 @t34 @t29 @t25))))) % 0.45/0.69 (define @t44 () (@list @t34 @t36)) % 0.45/0.69 (define @t45 () (tptp.inv @t34)) % 0.45/0.69 (define @t46 () (@var "VAL" $$unsorted)) % 0.45/0.69 (define @t47 () (@var "K" $$unsorted)) % 0.45/0.69 (define @t48 () (tptp.tptp_update3 @t34 @t47 @t47 @t46)) % 0.45/0.69 (define @t49 () (@var "B" $$unsorted)) % 0.45/0.69 (define @t50 () (tptp.tptp_madd @t34 @t49)) % 0.45/0.69 (define @t51 () (= (tptp.a_select3 @t49 @t25 @t29) (tptp.a_select3 @t49 @t29 @t25))) % 0.45/0.69 (define @t52 () (forall @t42 (=> @t41 @t51))) % 0.45/0.69 (define @t53 () (and @t43 @t52)) % 0.45/0.69 (define @t54 () (@list @t34 @t49 @t36)) % 0.45/0.69 (define @t55 () (tptp.tptp_msub @t34 @t49)) % 0.45/0.69 (define @t56 () (tptp.tptp_mmul @t34 (tptp.tptp_mmul @t49 @t35))) % 0.45/0.69 (define @t57 () (forall @t42 (=> @t41 (= (tptp.a_select3 @t56 @t25 @t29) (tptp.a_select3 @t56 @t29 @t25))))) % 0.45/0.69 (define @t58 () (@var "M" $$unsorted)) % 0.45/0.69 (define @t59 () (and @t40 (tptp.leq @t25 @t58) @t38 (tptp.leq @t29 @t58))) % 0.45/0.69 (define @t60 () (@var "E" $$unsorted)) % 0.45/0.69 (define @t61 () (@var "F" $$unsorted)) % 0.45/0.69 (define @t62 () (@var "D" $$unsorted)) % 0.45/0.69 (define @t63 () (tptp.tptp_madd @t34 (tptp.tptp_mmul @t49 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t20 (tptp.tptp_mmul @t62 (tptp.trans @t20))) (tptp.tptp_mmul @t60 (tptp.tptp_mmul @t61 (tptp.trans @t60)))) (tptp.trans @t49))))) % 0.45/0.69 (define @t64 () (@var "Body" $$unsorted)) % 0.45/0.69 (define @t65 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t64)) % 0.45/0.69 (define @t66 () (@list @t64)) % 0.45/0.69 (define @t67 () (tptp.plus tptp.n1 @t2)) % 0.45/0.69 (define @t68 () (forall @t9 (= @t67 @t18))) % 0.45/0.69 (define @t69 () (tptp.succ @t18)) % 0.45/0.69 (define @t70 () (tptp.succ @t69)) % 0.45/0.69 (define @t71 () (tptp.succ @t70)) % 0.45/0.69 (define @t72 () (tptp.succ @t71)) % 0.45/0.69 (define @t73 () (tptp.pred @t2)) % 0.45/0.69 (define @t74 () (forall @t9 (= (tptp.minus @t2 tptp.n1) @t73))) % 0.45/0.69 (define @t75 () (tptp.pred @t18)) % 0.45/0.69 (define @t76 () (forall @t9 (= @t75 @t2))) % 0.45/0.69 (define @t77 () (@var "V" $$unsorted)) % 0.45/0.69 (define @t78 () (tptp.tptp_update3 @t2 @t26 @t77 @t46)) % 0.45/0.69 (define @t79 () (@var "VAL2" $$unsorted)) % 0.45/0.69 (define @t80 () (= @t25 @t26)) % 0.45/0.69 (define @t81 () (not @t80)) % 0.45/0.69 (define @t82 () (@var "J0" $$unsorted)) % 0.45/0.69 (define @t83 () (@var "I0" $$unsorted)) % 0.45/0.69 (define @t84 () (tptp.leq @t83 @t26)) % 0.45/0.69 (define @t85 () (tptp.leq tptp.n0 @t83)) % 0.45/0.69 (define @t86 () (tptp.tptp_update2 @t2 @t26 @t46)) % 0.45/0.69 (define @t87 () (tptp.a_select2 @t86 @t26)) % 0.45/0.69 (define @t88 () (forall (@list @t2 @t26 @t46) (= @t87 @t46))) % 0.45/0.69 (define @t89 () (tptp.a_select2 (tptp.tptp_update2 @t2 @t25 @t79) @t26)) % 0.45/0.69 (define @t90 () (tptp.a_select2 @t2 @t26)) % 0.45/0.69 (define @t91 () (and @t81 (= @t90 @t46))) % 0.45/0.69 (define @t92 () (=> @t91 (= @t89 @t46))) % 0.45/0.69 (define @t93 () (@list @t25 @t26 @t2 @t46 @t79)) % 0.45/0.69 (define @t94 () (forall @t93 @t92)) % 0.45/0.69 (define @t95 () (tptp.tptp_update2 tptp.s_values7_init tptp.pv1376 tptp.init)) % 0.45/0.69 (define @t96 () (tptp.a_select2 @t95 @t61)) % 0.45/0.69 (define @t97 () (tptp.plus tptp.n1 tptp.pv1376)) % 0.45/0.69 (define @t98 () (tptp.minus @t97 tptp.n1)) % 0.45/0.69 (define @t99 () (tptp.leq @t61 @t98)) % 0.45/0.69 (define @t100 () (tptp.leq tptp.n0 @t61)) % 0.45/0.69 (define @t101 () (and @t100 @t99)) % 0.45/0.69 (define @t102 () (=> @t101 (= @t96 tptp.init))) % 0.45/0.69 (define @t103 () (@list @t61)) % 0.45/0.69 (define @t104 () (forall @t103 @t102)) % 0.45/0.69 (define @t105 () (tptp.a_select3 tptp.simplex7_init @t60 @t62)) % 0.45/0.69 (define @t106 () (tptp.leq @t60 tptp.n3)) % 0.45/0.69 (define @t107 () (tptp.leq tptp.n0 @t60)) % 0.45/0.69 (define @t108 () (and @t107 @t106)) % 0.45/0.69 (define @t109 () (=> @t108 (= @t105 tptp.init))) % 0.45/0.69 (define @t110 () (@list @t60)) % 0.45/0.69 (define @t111 () (forall @t110 @t109)) % 0.45/0.69 (define @t112 () (tptp.leq @t62 tptp.n2)) % 0.45/0.69 (define @t113 () (tptp.leq tptp.n0 @t62)) % 0.45/0.69 (define @t114 () (and @t113 @t112)) % 0.45/0.69 (define @t115 () (=> @t114 @t111)) % 0.45/0.69 (define @t116 () (@list @t62)) % 0.45/0.69 (define @t117 () (forall @t116 @t115)) % 0.45/0.69 (define @t118 () (= tptp.init tptp.init)) % 0.45/0.69 (define @t119 () (and @t118 @t117 @t104)) % 0.45/0.69 (define @t120 () (tptp.a_select2 tptp.s_values7_init @t20)) % 0.45/0.69 (define @t121 () (tptp.minus tptp.pv1376 tptp.n1)) % 0.45/0.69 (define @t122 () (tptp.leq @t20 @t121)) % 0.45/0.69 (define @t123 () (tptp.leq tptp.n0 @t20)) % 0.45/0.69 (define @t124 () (and @t123 @t122)) % 0.45/0.69 (define @t125 () (=> @t124 (= @t120 tptp.init))) % 0.45/0.69 (define @t126 () (@list @t20)) % 0.45/0.69 (define @t127 () (forall @t126 @t125)) % 0.45/0.69 (define @t128 () (tptp.a_select3 tptp.simplex7_init @t49 @t34)) % 0.45/0.69 (define @t129 () (tptp.leq @t49 tptp.n3)) % 0.45/0.69 (define @t130 () (tptp.leq tptp.n0 @t49)) % 0.45/0.69 (define @t131 () (and @t130 @t129)) % 0.45/0.69 (define @t132 () (=> @t131 (= @t128 tptp.init))) % 0.45/0.69 (define @t133 () (@list @t49)) % 0.45/0.69 (define @t134 () (forall @t133 @t132)) % 0.45/0.69 (define @t135 () (tptp.leq @t34 tptp.n2)) % 0.45/0.69 (define @t136 () (tptp.leq tptp.n0 @t34)) % 0.45/0.69 (define @t137 () (and @t136 @t135)) % 0.45/0.69 (define @t138 () (=> @t137 @t134)) % 0.45/0.69 (define @t139 () (@list @t34)) % 0.45/0.69 (define @t140 () (forall @t139 @t138)) % 0.45/0.69 (define @t141 () (tptp.leq tptp.pv1376 tptp.n3)) % 0.45/0.69 (define @t142 () (tptp.leq tptp.n0 tptp.pv1376)) % 0.45/0.69 (define @t143 () (and @t118 @t142 @t141 @t140 @t127)) % 0.45/0.69 (define @t144 () (=> @t143 @t119)) % 0.45/0.69 (define @t145 () (not @t144)) % 0.45/0.69 (define @t146 () (tptp.gt tptp.n1 tptp.n0)) % 0.45/0.69 (define @t147 () (tptp.gt tptp.n2 tptp.n0)) % 0.45/0.69 (define @t148 () (tptp.gt tptp.n2 tptp.n1)) % 0.45/0.69 (define @t149 () (tptp.gt tptp.n3 tptp.n1)) % 0.45/0.69 (define @t150 () (tptp.gt tptp.n3 tptp.n2)) % 0.45/0.69 (define @t151 () (= @t2 tptp.n4)) % 0.45/0.69 (define @t152 () (= @t2 tptp.n3)) % 0.45/0.69 (define @t153 () (= @t2 tptp.n2)) % 0.45/0.69 (define @t154 () (= @t2 tptp.n1)) % 0.45/0.69 (define @t155 () (= @t2 tptp.n0)) % 0.45/0.69 (define @t156 () (tptp.leq @t2 tptp.n0)) % 0.45/0.69 (define @t157 () (and @t22 @t156)) % 0.45/0.69 (define @t158 () (forall @t9 (=> @t157 @t155))) % 0.45/0.69 (define @t159 () (or @t155 @t154)) % 0.45/0.69 (define @t160 () (tptp.leq @t2 tptp.n1)) % 0.45/0.69 (define @t161 () (and @t22 @t160)) % 0.45/0.69 (define @t162 () (forall @t9 (=> @t161 @t159))) % 0.45/0.69 (define @t163 () (or @t155 @t154 @t153)) % 0.45/0.69 (define @t164 () (tptp.leq @t2 tptp.n2)) % 0.45/0.69 (define @t165 () (and @t22 @t164)) % 0.45/0.69 (define @t166 () (forall @t9 (=> @t165 @t163))) % 0.45/0.69 (define @t167 () (or @t155 @t154 @t153 @t152)) % 0.45/0.69 (define @t168 () (tptp.leq @t2 tptp.n3)) % 0.45/0.69 (define @t169 () (and @t22 @t168)) % 0.45/0.69 (define @t170 () (forall @t9 (=> @t169 @t167))) % 0.45/0.69 (define @t171 () (tptp.succ tptp.n0)) % 0.45/0.69 (define @t172 () (tptp.succ @t171)) % 0.45/0.69 (define @t173 () (tptp.succ @t172)) % 0.45/0.69 (define @t174 () (tptp.succ @t173)) % 0.45/0.69 (define @t175 () (= tptp.init @t96)) % 0.45/0.69 (define @t176 () (not @t99)) % 0.45/0.69 (define @t177 () (not @t100)) % 0.45/0.69 (define @t178 () (or @t177 @t176 @t175)) % 0.45/0.69 (define @t179 () (forall @t103 @t178)) % 0.45/0.69 (define @t180 () (@var "BOUND_VARIABLE_8444" $$unsorted)) % 0.45/0.69 (define @t181 () (= tptp.init (tptp.a_select3 tptp.simplex7_init @t180 @t62))) % 0.45/0.69 (define @t182 () (not (tptp.leq @t180 tptp.n3))) % 0.45/0.69 (define @t183 () (not (tptp.leq tptp.n0 @t180))) % 0.45/0.69 (define @t184 () (not @t112)) % 0.45/0.69 (define @t185 () (not @t113)) % 0.45/0.69 (define @t186 () (or @t185 @t184 @t183 @t182 @t181)) % 0.45/0.69 (define @t187 () (@list @t62 @t180)) % 0.45/0.69 (define @t188 () (forall @t187 @t186)) % 0.45/0.69 (define @t189 () (or @t183 @t182 @t181)) % 0.45/0.69 (define @t190 () (or @t185 @t184 @t189)) % 0.45/0.69 (define @t191 () (forall @t187 @t190)) % 0.45/0.69 (define @t192 () (@list @t180)) % 0.45/0.69 (define @t193 () (forall @t192 @t190)) % 0.45/0.69 (define @t194 () (forall @t192 @t189)) % 0.45/0.69 (define @t195 () (or @t185 @t184 @t194)) % 0.45/0.69 (define @t196 () (= tptp.init @t105)) % 0.45/0.69 (define @t197 () (not @t106)) % 0.45/0.69 (define @t198 () (not @t107)) % 0.45/0.69 (define @t199 () (or @t198 @t197 @t196)) % 0.45/0.69 (define @t200 () (forall @t110 @t199)) % 0.45/0.69 (define @t201 () (or @t185 @t184 @t200)) % 0.45/0.69 (define @t202 () (= tptp.init @t120)) % 0.45/0.69 (define @t203 () (not @t122)) % 0.45/0.69 (define @t204 () (not @t123)) % 0.45/0.69 (define @t205 () (or @t204 @t203 @t202)) % 0.45/0.69 (define @t206 () (forall @t126 @t205)) % 0.45/0.69 (define @t207 () (@var "BOUND_VARIABLE_8402" $$unsorted)) % 0.45/0.69 (define @t208 () (= tptp.init (tptp.a_select3 tptp.simplex7_init @t207 @t34))) % 0.45/0.69 (define @t209 () (not (tptp.leq @t207 tptp.n3))) % 0.45/0.69 (define @t210 () (not (tptp.leq tptp.n0 @t207))) % 0.45/0.69 (define @t211 () (not @t135)) % 0.45/0.69 (define @t212 () (not @t136)) % 0.45/0.69 (define @t213 () (or @t212 @t211 @t210 @t209 @t208)) % 0.45/0.69 (define @t214 () (@list @t34 @t207)) % 0.45/0.69 (define @t215 () (forall @t214 @t213)) % 0.45/0.69 (define @t216 () (or @t210 @t209 @t208)) % 0.45/0.69 (define @t217 () (or @t212 @t211 @t216)) % 0.45/0.69 (define @t218 () (forall @t214 @t217)) % 0.45/0.69 (define @t219 () (@list @t207)) % 0.45/0.69 (define @t220 () (forall @t219 @t217)) % 0.45/0.69 (define @t221 () (forall @t219 @t216)) % 0.45/0.69 (define @t222 () (or @t212 @t211 @t221)) % 0.45/0.69 (define @t223 () (= tptp.init @t128)) % 0.45/0.69 (define @t224 () (not @t129)) % 0.45/0.69 (define @t225 () (not @t130)) % 0.45/0.69 (define @t226 () (or @t225 @t224 @t223)) % 0.45/0.69 (define @t227 () (forall @t133 @t226)) % 0.45/0.69 (define @t228 () (or @t212 @t211 @t227)) % 0.45/0.69 (define @t229 () (@list false)) % 0.45/0.69 (define @t230 () (not @t179)) % 0.45/0.69 (define @t231 () (@quantifiers_skolemize @t179 0)) % 0.45/0.69 (define @t232 () (tptp.leq tptp.n0 @t231)) % 0.45/0.69 (define @t233 () (tptp.a_select2 @t95 @t231)) % 0.45/0.69 (define @t234 () (= tptp.init @t233)) % 0.45/0.69 (define @t235 () (tptp.leq @t231 @t98)) % 0.45/0.69 (define @t236 () (not @t235)) % 0.45/0.69 (define @t237 () (not @t232)) % 0.45/0.69 (define @t238 () (or @t237 @t236 @t234)) % 0.45/0.69 (define @t239 () (@list true)) % 0.45/0.69 (define @t240 () (@list @t238)) % 0.45/0.69 (define @t241 () (not @t156)) % 0.45/0.69 (define @t242 () (not @t22)) % 0.45/0.69 (define @t243 () (or @t242 @t241 @t155)) % 0.45/0.69 (define @t244 () (tptp.leq @t231 tptp.n0)) % 0.45/0.69 (define @t245 () (not @t244)) % 0.45/0.69 (define @t246 () (= @t231 tptp.n0)) % 0.45/0.69 (define @t247 () (or @t237 @t245 @t246)) % 0.45/0.69 (define @t248 () (forall @t9 @t243)) % 0.45/0.69 (define @t249 () (@list @t231)) % 0.45/0.69 (define @t250 () (= tptp.n0 @t231)) % 0.45/0.69 (define @t251 () (or @t237 @t245 @t250)) % 0.45/0.69 (define @t252 () (tptp.succ tptp.pv1376)) % 0.45/0.69 (define @t253 () (forall @t9 (= @t18 @t67))) % 0.45/0.69 (define @t254 () (= @t252 @t97)) % 0.45/0.69 (define @t255 () (@list tptp.pv1376)) % 0.45/0.69 (define @t256 () (= @t97 @t252)) % 0.45/0.69 (define @t257 () (= tptp.n1 @t171)) % 0.45/0.69 (define @t258 () (= tptp.n2 @t172)) % 0.45/0.69 (define @t259 () (tptp.pred @t97)) % 0.45/0.69 (define @t260 () (= @t98 @t259)) % 0.45/0.69 (define @t261 () (tptp.pred @t172)) % 0.45/0.69 (define @t262 () (= @t171 @t261)) % 0.45/0.69 (define @t263 () (= tptp.n1 tptp.pv1376)) % 0.45/0.69 (define @t264 () (tptp.pred tptp.n2)) % 0.45/0.69 (define @t265 () (tptp.leq @t231 tptp.n1)) % 0.45/0.69 (define @t266 () (and @t257 @t258 @t235 @t256 @t260 @t262 @t263)) % 0.45/0.69 (define @t267 () (not @t263)) % 0.45/0.69 (define @t268 () (not @t262)) % 0.45/0.69 (define @t269 () (not @t260)) % 0.45/0.69 (define @t270 () (not @t256)) % 0.45/0.69 (define @t271 () (not @t258)) % 0.45/0.69 (define @t272 () (not @t257)) % 0.45/0.69 (define @t273 () (not @t160)) % 0.45/0.69 (define @t274 () (or @t242 @t273 @t155 @t154)) % 0.45/0.69 (define @t275 () (not @t265)) % 0.45/0.69 (define @t276 () (= @t231 tptp.n1)) % 0.45/0.69 (define @t277 () (or @t237 @t275 @t246 @t276)) % 0.45/0.69 (define @t278 () (forall @t9 @t274)) % 0.45/0.69 (define @t279 () (= tptp.n1 @t231)) % 0.45/0.69 (define @t280 () (or @t237 @t275 @t250 @t279)) % 0.45/0.69 (define @t281 () (not @t234)) % 0.45/0.69 (define @t282 () (tptp.a_select2 @t95 tptp.pv1376)) % 0.45/0.69 (define @t283 () (= tptp.init @t282)) % 0.45/0.69 (define @t284 () (and @t283 @t263 @t279)) % 0.45/0.69 (define @t285 () (not @t279)) % 0.45/0.69 (define @t286 () (not @t283)) % 0.45/0.69 (define @t287 () (= tptp.n0 (tptp.pred @t171))) % 0.45/0.69 (define @t288 () (not @t287)) % 0.45/0.69 (define @t289 () (= tptp.n0 tptp.pv1376)) % 0.45/0.69 (define @t290 () (not @t289)) % 0.45/0.69 (define @t291 () (= true false)) % 0.45/0.69 (define @t292 () (tptp.pred tptp.n1)) % 0.45/0.69 (define @t293 () (and @t245 @t287 @t257 @t289 @t256 @t260 @t235)) % 0.45/0.69 (define @t294 () (not @t238)) % 0.45/0.69 (define @t295 () (forall @t9 (= @t2 @t75))) % 0.45/0.69 (define @t296 () (tptp.leq @t231 tptp.n3)) % 0.45/0.69 (define @t297 () (= @t173 (tptp.pred @t174))) % 0.45/0.69 (define @t298 () (not @t297)) % 0.45/0.69 (define @t299 () (= tptp.n3 tptp.pv1376)) % 0.45/0.69 (define @t300 () (not @t299)) % 0.45/0.69 (define @t301 () (= tptp.n3 @t173)) % 0.45/0.69 (define @t302 () (not @t301)) % 0.45/0.69 (define @t303 () (= tptp.n4 @t174)) % 0.45/0.69 (define @t304 () (not @t303)) % 0.45/0.69 (define @t305 () (not @t296)) % 0.45/0.69 (define @t306 () (not @t305)) % 0.45/0.69 (define @t307 () (and @t305 @t301 @t297 @t303 @t299 @t256 @t260 @t235)) % 0.45/0.69 (define @t308 () (@list tptp.n1 tptp.n2)) % 0.45/0.69 (define @t309 () (tptp.leq tptp.n1 tptp.n2)) % 0.45/0.69 (define @t310 () (not @t148)) % 0.45/0.69 (define @t311 () (or @t310 @t309)) % 0.45/0.69 (define @t312 () (@list false false)) % 0.45/0.69 (define @t313 () (tptp.leq tptp.pv1376 tptp.n2)) % 0.45/0.69 (define @t314 () (not @t309)) % 0.45/0.69 (define @t315 () (not @t313)) % 0.45/0.69 (define @t316 () (not @t315)) % 0.45/0.69 (define @t317 () (= false true)) % 0.45/0.69 (define @t318 () (tptp.pred tptp.n3)) % 0.45/0.69 (define @t319 () (tptp.leq tptp.n2 @t318)) % 0.45/0.69 (define @t320 () (= @t150 @t319)) % 0.45/0.69 (define @t321 () (= tptp.n2 tptp.pv1376)) % 0.45/0.69 (define @t322 () (not @t321)) % 0.45/0.69 (define @t323 () (tptp.pred @t173)) % 0.45/0.69 (define @t324 () (= @t172 @t323)) % 0.45/0.69 (define @t325 () (not @t324)) % 0.45/0.69 (define @t326 () (not @t319)) % 0.45/0.69 (define @t327 () (tptp.leq tptp.n2 @t172)) % 0.45/0.69 (define @t328 () (and @t319 @t301 @t324 @t321 @t258 @t315)) % 0.45/0.69 (define @t329 () (not @t168)) % 0.45/0.69 (define @t330 () (or @t242 @t329 @t155 @t154 @t153 @t152)) % 0.45/0.69 (define @t331 () (not @t141)) % 0.45/0.69 (define @t332 () (not @t142)) % 0.45/0.69 (define @t333 () (= tptp.pv1376 tptp.n2)) % 0.45/0.69 (define @t334 () (= tptp.pv1376 tptp.n1)) % 0.45/0.69 (define @t335 () (= tptp.pv1376 tptp.n0)) % 0.45/0.69 (define @t336 () (or @t332 @t331 @t335 @t334 @t333 (= tptp.pv1376 tptp.n3))) % 0.45/0.69 (define @t337 () (forall @t9 @t330)) % 0.45/0.69 (define @t338 () (or @t332 @t331 @t289 @t263 @t321 @t299)) % 0.45/0.69 (define @t339 () (@list @t337)) % 0.45/0.69 (define @t340 () (not @t11)) % 0.45/0.69 (define @t341 () (not @t12)) % 0.45/0.69 (define @t342 () (tptp.leq tptp.n0 tptp.n3)) % 0.45/0.69 (define @t343 () (or @t332 @t331 @t342)) % 0.45/0.69 (define @t344 () (@list false false false)) % 0.45/0.69 (define @t345 () (not @t250)) % 0.45/0.69 (define @t346 () (not @t342)) % 0.45/0.69 (define @t347 () (not @t164)) % 0.45/0.69 (define @t348 () (or @t242 @t347 @t155 @t154 @t153)) % 0.45/0.69 (define @t349 () (or @t332 @t315 @t335 @t334 @t333)) % 0.45/0.69 (define @t350 () (forall @t9 @t348)) % 0.45/0.69 (define @t351 () (or @t332 @t315 @t289 @t263 @t321)) % 0.45/0.69 (define @t352 () (@list @t350)) % 0.45/0.69 (define @t353 () (tptp.leq @t231 tptp.n2)) % 0.45/0.69 (define @t354 () (and @t258 @t301 @t235 @t256 @t260 @t324 @t321)) % 0.45/0.69 (define @t355 () (tptp.leq tptp.n1 tptp.n3)) % 0.45/0.69 (define @t356 () (not @t149)) % 0.45/0.69 (define @t357 () (or @t356 @t355)) % 0.45/0.69 (define @t358 () (not @t355)) % 0.45/0.69 (define @t359 () (not @t353)) % 0.45/0.69 (define @t360 () (= @t231 tptp.n2)) % 0.45/0.69 (define @t361 () (or @t237 @t359 @t246 @t276 @t360)) % 0.45/0.69 (define @t362 () (= tptp.n2 @t231)) % 0.45/0.69 (define @t363 () (or @t237 @t359 @t250 @t279 @t362)) % 0.45/0.69 (define @t364 () (and @t283 @t321 @t362)) % 0.45/0.69 (define @t365 () (not @t362)) % 0.45/0.69 (define @t366 () (= tptp.pv1376 @t231)) % 0.45/0.69 (define @t367 () (and @t366 @t362)) % 0.45/0.69 (define @t368 () (not @t366)) % 0.45/0.69 (define @t369 () (tptp.pred tptp.pv1376)) % 0.45/0.69 (define @t370 () (= @t121 @t369)) % 0.45/0.69 (define @t371 () (not @t370)) % 0.45/0.69 (define @t372 () (tptp.leq @t231 @t121)) % 0.45/0.69 (define @t373 () (not @t372)) % 0.45/0.69 (define @t374 () (not @t373)) % 0.45/0.69 (define @t375 () (and @t319 @t301 @t324 @t362 @t258 @t299 @t370 @t373)) % 0.45/0.69 (define @t376 () (= @t90 @t89)) % 0.45/0.69 (define @t377 () (or @t80 @t376)) % 0.45/0.69 (define @t378 () (not (= @t90 @t90))) % 0.45/0.69 (define @t379 () (or @t80 @t378 @t376)) % 0.45/0.69 (define @t380 () (@list @t25 @t26 @t2 @t79)) % 0.45/0.69 (define @t381 () (= @t46 @t89)) % 0.45/0.69 (define @t382 () (= @t46 @t90)) % 0.45/0.69 (define @t383 () (not @t382)) % 0.45/0.69 (define @t384 () (or @t383 @t80 @t383 @t381)) % 0.45/0.69 (define @t385 () (@list @t46)) % 0.45/0.69 (define @t386 () (or @t80 @t383 @t381)) % 0.45/0.69 (define @t387 () (forall @t385 @t386)) % 0.45/0.69 (define @t388 () (forall @t380 @t387)) % 0.45/0.69 (define @t389 () (forall (@list @t25 @t26 @t2 @t79 @t46) @t386)) % 0.45/0.69 (define @t390 () (and @t81 @t382)) % 0.45/0.69 (define @t391 () (tptp.a_select2 tptp.s_values7_init @t231)) % 0.45/0.69 (define @t392 () (or @t366 (= @t391 @t233))) % 0.45/0.69 (define @t393 () (forall @t380 @t377)) % 0.45/0.69 (define @t394 () (= @t233 @t391)) % 0.45/0.69 (define @t395 () (or @t366 @t394)) % 0.45/0.69 (define @t396 () (= tptp.init @t391)) % 0.45/0.69 (define @t397 () (or @t237 @t373 @t396)) % 0.45/0.69 (define @t398 () (not @t396)) % 0.45/0.69 (define @t399 () (not @t394)) % 0.45/0.69 (define @t400 () (and @t281 @t394)) % 0.45/0.69 (define @t401 () (or @t237 @t305 @t246 @t276 @t360 (= @t231 tptp.n3))) % 0.45/0.69 (define @t402 () (= tptp.n3 @t231)) % 0.45/0.69 (define @t403 () (or @t237 @t305 @t250 @t279 @t362 @t402)) % 0.45/0.69 (define @t404 () (and @t299 @t283 @t402)) % 0.45/0.69 (define @t405 () (and @t366 @t279)) % 0.45/0.69 (define @t406 () (tptp.leq tptp.n1 @t121)) % 0.45/0.69 (define @t407 () (and @t309 @t258 @t324 @t301 @t299 @t370 @t279 @t373)) % 0.45/0.69 (define @t408 () (tptp.leq tptp.n1 @t264)) % 0.45/0.69 (define @t409 () (= @t148 @t408)) % 0.45/0.69 (define @t410 () (not @t408)) % 0.45/0.69 (define @t411 () (and @t408 @t258 @t262 @t321 @t370 @t279 @t373)) % 0.45/0.69 (define @t412 () (and @t289 @t250 @t283)) % 0.45/0.69 (define @t413 () (and @t321 @t365)) % 0.45/0.69 (define @t414 () (@list tptp.n0 tptp.n1)) % 0.45/0.69 (define @t415 () (tptp.leq tptp.n0 tptp.n1)) % 0.45/0.69 (define @t416 () (not @t146)) % 0.45/0.69 (define @t417 () (or @t416 @t415)) % 0.45/0.69 (define @t418 () (tptp.leq @t292 @t121)) % 0.45/0.69 (define @t419 () (and @t257 @t258 @t415 @t250 @t287 @t262 @t321 @t370)) % 0.45/0.69 (define @t420 () (and @t250 @t279 @t267)) % 0.45/0.69 (define @t421 () (and @t263 @t285)) % 0.45/0.69 (define @t422 () (tptp.leq tptp.n0 @t292)) % 0.45/0.69 (define @t423 () (= @t146 @t422)) % 0.45/0.69 (define @t424 () (and @t257 @t250 @t422 @t287 @t263 @t370)) % 0.45/0.69 (define @t425 () (tptp.leq tptp.n0 tptp.n2)) % 0.45/0.69 (define @t426 () (not @t147)) % 0.45/0.69 (define @t427 () (or @t426 @t425)) % 0.45/0.69 (define @t428 () (and @t257 @t258 @t301 @t425 @t250 @t299 @t287 @t324 @t370)) % 0.45/0.69 (define @t429 () (@list true false)) % 0.45/0.69 (define @t430 () (and @t301 @t299 @t366 @t250 @t290)) % 0.45/0.69 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.45/0.69 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.45/0.69 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.45/0.69 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.45/0.69 (assume @p5 @t14) % 0.45/0.69 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.45/0.69 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.45/0.69 (assume @p8 @t15) % 0.45/0.69 (assume @p9 (forall @t6 (=> (and @t12 (not @t3)) @t4))) % 0.45/0.69 (assume @p10 @t17) % 0.45/0.69 (assume @p11 (forall @t9 (tptp.gt @t18 @t2))) % 0.45/0.69 (assume @p12 (forall @t6 (=> @t12 (tptp.leq @t2 @t19)))) % 0.45/0.69 (assume @p13 (forall @t6 (= @t12 (tptp.gt @t19 @t2)))) % 0.45/0.69 (assume @p14 (forall @t23 (=> @t22 (tptp.leq @t21 @t2)))) % 0.45/0.69 (assume @p15 (forall @t23 (=> @t22 (tptp.leq tptp.n0 @t21)))) % 0.45/0.69 (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)))) % 0.45/0.69 (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)))) % 0.45/0.69 (assume @p18 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (= (tptp.a_select3 @t35 @t25 @t29) (tptp.a_select3 @t35 @t29 @t25))))))) % 0.45/0.69 (assume @p19 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (= (tptp.a_select3 @t45 @t25 @t29) (tptp.a_select3 @t45 @t29 @t25))))))) % 0.45/0.69 (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))))))) % 0.45/0.69 (assume @p21 (forall @t54 (=> @t53 (forall @t42 (=> @t41 (= (tptp.a_select3 @t50 @t25 @t29) (tptp.a_select3 @t50 @t29 @t25))))))) % 0.45/0.69 (assume @p22 (forall @t54 (=> @t53 (forall @t42 (=> @t41 (= (tptp.a_select3 @t55 @t25 @t29) (tptp.a_select3 @t55 @t29 @t25))))))) % 0.45/0.69 (assume @p23 (forall @t54 (=> @t52 @t57))) % 0.45/0.69 (assume @p24 (forall (@list @t34 @t49 @t36 @t58) (=> (forall @t42 (=> @t59 @t51)) @t57))) % 0.45/0.69 (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))))))) % 0.45/0.69 (assume @p26 (forall @t66 (= @t65 tptp.n0))) % 0.45/0.69 (assume @p27 (forall @t66 (= tptp.tptp_float_0_0 @t65))) % 0.45/0.69 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.45/0.69 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t18))) % 0.45/0.69 (assume @p30 @t68) % 0.45/0.69 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t69))) % 0.45/0.69 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t69))) % 0.45/0.69 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t70))) % 0.45/0.69 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t70))) % 0.45/0.69 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t71))) % 0.45/0.69 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t71))) % 0.45/0.69 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t72))) % 0.45/0.69 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t72))) % 0.45/0.69 (assume @p39 @t74) % 0.45/0.69 (assume @p40 @t76) % 0.45/0.69 (assume @p41 (forall @t9 (= (tptp.succ @t73) @t2))) % 0.45/0.69 (assume @p42 (forall @t6 (= (tptp.leq @t18 @t19) @t12))) % 0.45/0.69 (assume @p43 (forall @t6 (=> (tptp.leq @t18 @t1) @t4))) % 0.45/0.69 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.45/0.69 (assume @p45 (forall (@list @t2 @t26 @t77 @t46) (= (tptp.a_select3 @t78 @t26 @t77) @t46))) % 0.45/0.69 (assume @p46 (forall (@list @t25 @t29 @t26 @t77 @t2 @t46 @t79) (=> (and @t81 (= @t29 @t77) (= (tptp.a_select3 @t2 @t26 @t77) @t46)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t25 @t29 @t79) @t26 @t77) @t46)))) % 0.45/0.69 (assume @p47 (forall (@list @t25 @t29 @t26 @t77 @t2 @t46) (=> (and (forall (@list @t83 @t82) (=> (and @t85 (tptp.leq tptp.n0 @t82) @t84 (tptp.leq @t82 @t77)) (= (tptp.a_select3 @t2 @t83 @t82) @t46))) @t40 @t28 @t38 (tptp.leq @t29 @t77)) (= (tptp.a_select3 @t78 @t25 @t29) @t46)))) % 0.45/0.69 (assume @p48 @t88) % 0.45/0.69 (assume @p49 @t94) % 0.45/0.69 (assume @p50 (forall (@list @t25 @t26 @t2 @t46) (=> (and (forall (@list @t83) (=> (and @t85 @t84) (= (tptp.a_select2 @t2 @t83) @t46))) @t40 @t28) (= (tptp.a_select2 @t86 @t25) @t46)))) % 0.45/0.69 (assume @p51 tptp.true) % 0.45/0.69 (assume @p52 (not (= tptp.def tptp.use))) % 0.45/0.69 (assume @p53 @t145) % 0.45/0.69 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.45/0.69 (assume @p55 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.45/0.69 (assume @p56 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.45/0.69 (assume @p57 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.45/0.69 (assume @p58 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.45/0.69 (assume @p59 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.45/0.69 (assume @p60 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.45/0.69 (assume @p61 (tptp.gt tptp.n4 tptp.n0)) % 0.45/0.69 (assume @p62 (tptp.gt tptp.n5 tptp.n0)) % 0.45/0.69 (assume @p63 @t146) % 0.45/0.69 (assume @p64 @t147) % 0.45/0.69 (assume @p65 (tptp.gt tptp.n3 tptp.n0)) % 0.45/0.69 (assume @p66 (tptp.gt tptp.n4 tptp.n1)) % 0.45/0.69 (assume @p67 (tptp.gt tptp.n5 tptp.n1)) % 0.45/0.69 (assume @p68 @t148) % 0.45/0.69 (assume @p69 @t149) % 0.45/0.69 (assume @p70 (tptp.gt tptp.n4 tptp.n2)) % 0.45/0.69 (assume @p71 (tptp.gt tptp.n5 tptp.n2)) % 0.45/0.69 (assume @p72 @t150) % 0.45/0.69 (assume @p73 (tptp.gt tptp.n4 tptp.n3)) % 0.45/0.69 (assume @p74 (tptp.gt tptp.n5 tptp.n3)) % 0.45/0.69 (assume @p75 (forall @t9 (=> (and @t22 (tptp.leq @t2 tptp.n4)) (or @t155 @t154 @t153 @t152 @t151)))) % 0.45/0.69 (assume @p76 (forall @t9 (=> (and @t22 (tptp.leq @t2 tptp.n5)) (or @t155 @t154 @t153 @t152 @t151 (= @t2 tptp.n5))))) % 0.45/0.69 (assume @p77 @t158) % 0.45/0.69 (assume @p78 @t162) % 0.45/0.69 (assume @p79 @t166) % 0.45/0.69 (assume @p80 @t170) % 0.45/0.69 (assume @p81 (= @t174 tptp.n4)) % 0.45/0.69 (assume @p82 (= (tptp.succ @t174) tptp.n5)) % 0.45/0.69 (assume @p83 (= @t171 tptp.n1)) % 0.45/0.69 (assume @p84 (= @t172 tptp.n2)) % 0.45/0.69 (assume @p85 (= @t173 tptp.n3)) % 0.45/0.69 (assume @p86 true) % 0.45/0.69 (step @p87 :rule symm :premises (@p85)) % 0.45/0.69 (step @p88 :rule aci_norm :args ((= (and true @t188 @t179) (and @t188 @t179)))) % 0.45/0.69 (step @p89 :rule aci_norm :args ((= (or (or @t177 @t176) @t175) @t178))) % 0.45/0.69 (step @p90 :rule refl :args (@t175)) % 0.45/0.69 (step @p91 :rule bool-and-de-morgan :args (@t100 @t99 true)) % 0.45/0.69 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or (not @t101) @t175))) % 0.45/0.69 (step @p93 :rule trans :premises (@p92 @p89)) % 0.45/0.69 (step @p94 :rule bool-impl-elim :args (@t101 @t175)) % 0.45/0.69 (step @p95 :rule trans :premises (@p94 @p93)) % 0.45/0.69 (step @p96 :rule cong :premises (@p95) :args ((forall @t103 (=> @t101 @t175)))) % 0.45/0.69 (step @p97 :rule eq-symm :args (@t96 tptp.init)) % 0.45/0.69 (step @p98 :rule refl :args (@t101)) % 0.45/0.69 (step @p99 :rule cong :premises (@p98 @p97) :args (@t102)) % 0.45/0.69 (step @p100 :rule cong :premises (@p99) :args (@t104)) % 0.45/0.69 (step @p101 :rule trans :premises (@p100 @p96)) % 0.45/0.69 (step @p102 :rule aci_norm :args ((= @t190 @t186))) % 0.45/0.69 (step @p103 :rule cong :premises (@p102) :args (@t191)) % 0.45/0.69 (step @p104 :rule quant-merge-prenex :args ((= (forall @t116 @t193) @t191))) % 0.45/0.69 (step @p105 :rule alpha_equiv :args (@t194 (@list @t180) (@list @t60))) % 0.45/0.69 (step @p106 :rule refl :args (@t184)) % 0.45/0.69 (step @p107 :rule refl :args (@t185)) % 0.45/0.69 (step @p108 :rule nary_cong :premises (@p107 @p106 @p105) :args (@t195)) % 0.45/0.69 (step @p109 :rule quant-miniscope-or :args ((= @t193 @t195))) % 0.45/0.69 (step @p110 :rule trans :premises (@p109 @p108)) % 0.45/0.69 (step @p111 :rule symm :premises (@p110)) % 0.45/0.69 (step @p112 :rule cong :premises (@p111) :args ((forall @t116 @t201))) % 0.45/0.69 (step @p113 :rule trans :premises (@p112 @p104)) % 0.45/0.69 (step @p114 :rule trans :premises (@p113 @p103)) % 0.45/0.69 (step @p115 :rule aci_norm :args ((= (or (or @t185 @t184) @t200) @t201))) % 0.45/0.69 (step @p116 :rule refl :args (@t200)) % 0.45/0.69 (step @p117 :rule bool-and-de-morgan :args (@t113 @t112 true)) % 0.45/0.69 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or (not @t114) @t200))) % 0.45/0.69 (step @p119 :rule trans :premises (@p118 @p115)) % 0.45/0.69 (step @p120 :rule bool-impl-elim :args (@t114 @t200)) % 0.45/0.69 (step @p121 :rule trans :premises (@p120 @p119)) % 0.45/0.69 (step @p122 :rule cong :premises (@p121) :args ((forall @t116 (=> @t114 @t200)))) % 0.45/0.69 (step @p123 :rule trans :premises (@p122 @p114)) % 0.45/0.69 (step @p124 :rule aci_norm :args ((= (or (or @t198 @t197) @t196) @t199))) % 0.45/0.69 (step @p125 :rule refl :args (@t196)) % 0.45/0.69 (step @p126 :rule bool-and-de-morgan :args (@t107 @t106 true)) % 0.45/0.69 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or (not @t108) @t196))) % 0.45/0.69 (step @p128 :rule trans :premises (@p127 @p124)) % 0.45/0.69 (step @p129 :rule bool-impl-elim :args (@t108 @t196)) % 0.45/0.69 (step @p130 :rule trans :premises (@p129 @p128)) % 0.45/0.69 (step @p131 :rule cong :premises (@p130) :args ((forall @t110 (=> @t108 @t196)))) % 0.45/0.69 (step @p132 :rule eq-symm :args (@t105 tptp.init)) % 0.45/0.69 (step @p133 :rule refl :args (@t108)) % 0.45/0.69 (step @p134 :rule cong :premises (@p133 @p132) :args (@t109)) % 0.45/0.69 (step @p135 :rule cong :premises (@p134) :args (@t111)) % 0.45/0.69 (step @p136 :rule trans :premises (@p135 @p131)) % 0.45/0.69 (step @p137 :rule refl :args (@t114)) % 0.45/0.69 (step @p138 :rule cong :premises (@p137 @p136) :args (@t115)) % 0.45/0.69 (step @p139 :rule cong :premises (@p138) :args (@t117)) % 0.45/0.69 (step @p140 :rule trans :premises (@p139 @p123)) % 0.45/0.69 (step @p141 :rule eq-refl :args (tptp.init)) % 0.45/0.69 (step @p142 :rule nary_cong :premises (@p141 @p140 @p101) :args (@t119)) % 0.45/0.69 (step @p143 :rule trans :premises (@p142 @p88)) % 0.45/0.69 (step @p144 :rule aci_norm :args ((= (and true @t142 @t141 @t215 @t206) (and @t142 @t141 @t215 @t206)))) % 0.45/0.69 (step @p145 :rule aci_norm :args ((= (or (or @t204 @t203) @t202) @t205))) % 0.45/0.69 (step @p146 :rule refl :args (@t202)) % 0.45/0.69 (step @p147 :rule bool-and-de-morgan :args (@t123 @t122 true)) % 0.45/0.69 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or (not @t124) @t202))) % 0.45/0.69 (step @p149 :rule trans :premises (@p148 @p145)) % 0.45/0.69 (step @p150 :rule bool-impl-elim :args (@t124 @t202)) % 0.45/0.69 (step @p151 :rule trans :premises (@p150 @p149)) % 0.45/0.69 (step @p152 :rule cong :premises (@p151) :args ((forall @t126 (=> @t124 @t202)))) % 0.45/0.69 (step @p153 :rule eq-symm :args (@t120 tptp.init)) % 0.45/0.69 (step @p154 :rule refl :args (@t124)) % 0.45/0.69 (step @p155 :rule cong :premises (@p154 @p153) :args (@t125)) % 0.45/0.69 (step @p156 :rule cong :premises (@p155) :args (@t127)) % 0.45/0.69 (step @p157 :rule trans :premises (@p156 @p152)) % 0.45/0.69 (step @p158 :rule aci_norm :args ((= @t217 @t213))) % 0.45/0.69 (step @p159 :rule cong :premises (@p158) :args (@t218)) % 0.45/0.69 (step @p160 :rule quant-merge-prenex :args ((= (forall @t139 @t220) @t218))) % 0.45/0.69 (step @p161 :rule alpha_equiv :args (@t221 (@list @t207) (@list @t49))) % 0.45/0.69 (step @p162 :rule refl :args (@t211)) % 0.45/0.69 (step @p163 :rule refl :args (@t212)) % 0.45/0.69 (step @p164 :rule nary_cong :premises (@p163 @p162 @p161) :args (@t222)) % 0.45/0.69 (step @p165 :rule quant-miniscope-or :args ((= @t220 @t222))) % 0.45/0.69 (step @p166 :rule trans :premises (@p165 @p164)) % 0.45/0.69 (step @p167 :rule symm :premises (@p166)) % 0.45/0.69 (step @p168 :rule cong :premises (@p167) :args ((forall @t139 @t228))) % 0.45/0.69 (step @p169 :rule trans :premises (@p168 @p160)) % 0.45/0.69 (step @p170 :rule trans :premises (@p169 @p159)) % 0.45/0.69 (step @p171 :rule aci_norm :args ((= (or (or @t212 @t211) @t227) @t228))) % 0.45/0.69 (step @p172 :rule refl :args (@t227)) % 0.45/0.69 (step @p173 :rule bool-and-de-morgan :args (@t136 @t135 true)) % 0.45/0.69 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or (not @t137) @t227))) % 0.45/0.69 (step @p175 :rule trans :premises (@p174 @p171)) % 0.45/0.69 (step @p176 :rule bool-impl-elim :args (@t137 @t227)) % 0.45/0.69 (step @p177 :rule trans :premises (@p176 @p175)) % 0.45/0.69 (step @p178 :rule cong :premises (@p177) :args ((forall @t139 (=> @t137 @t227)))) % 0.45/0.69 (step @p179 :rule trans :premises (@p178 @p170)) % 0.45/0.69 (step @p180 :rule aci_norm :args ((= (or (or @t225 @t224) @t223) @t226))) % 0.45/0.69 (step @p181 :rule refl :args (@t223)) % 0.45/0.69 (step @p182 :rule bool-and-de-morgan :args (@t130 @t129 true)) % 0.45/0.69 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or (not @t131) @t223))) % 0.45/0.69 (step @p184 :rule trans :premises (@p183 @p180)) % 0.45/0.69 (step @p185 :rule bool-impl-elim :args (@t131 @t223)) % 0.45/0.69 (step @p186 :rule trans :premises (@p185 @p184)) % 0.45/0.69 (step @p187 :rule cong :premises (@p186) :args ((forall @t133 (=> @t131 @t223)))) % 0.45/0.69 (step @p188 :rule eq-symm :args (@t128 tptp.init)) % 0.45/0.69 (step @p189 :rule refl :args (@t131)) % 0.45/0.69 (step @p190 :rule cong :premises (@p189 @p188) :args (@t132)) % 0.45/0.69 (step @p191 :rule cong :premises (@p190) :args (@t134)) % 0.45/0.69 (step @p192 :rule trans :premises (@p191 @p187)) % 0.45/0.69 (step @p193 :rule refl :args (@t137)) % 0.45/0.69 (step @p194 :rule cong :premises (@p193 @p192) :args (@t138)) % 0.45/0.69 (step @p195 :rule cong :premises (@p194) :args (@t140)) % 0.45/0.69 (step @p196 :rule trans :premises (@p195 @p179)) % 0.45/0.69 (step @p197 :rule refl :args (@t141)) % 0.45/0.69 (step @p198 :rule refl :args (@t142)) % 0.45/0.69 (step @p199 :rule nary_cong :premises (@p141 @p198 @p197 @p196 @p157) :args (@t143)) % 0.45/0.69 (step @p200 :rule trans :premises (@p199 @p144)) % 0.45/0.69 (step @p201 :rule cong :premises (@p200 @p143) :args (@t144)) % 0.45/0.69 (step @p202 :rule cong :premises (@p201) :args (@t145)) % 0.45/0.69 (step @p203 :rule eq_resolve :premises (@p53 @p202)) % 0.45/0.69 (step @p204 :rule not_implies_elim1 :premises (@p203)) % 0.45/0.69 (step @p205 :rule and_elim :premises (@p204) :args (2)) % 0.45/0.69 (step @p206 :rule alpha_equiv :args (@t215 (@list @t207 @t34) (@list @t180 @t62))) % 0.45/0.69 (step @p207 :rule equiv_elim1 :premises (@p206)) % 0.45/0.69 (step @p208 :rule reordering :premises (@p207) :args ((or @t188 (not @t215)))) % 0.45/0.69 (step @p209 :rule chain_m_resolution :premises (@p208 @p205) :args (@t188 @t229 (@list @t215))) % 0.45/0.69 (step @p210 :rule not_implies_elim2 :premises (@p203)) % 0.45/0.69 (step @p211 :rule not_and :premises (@p210)) % 0.45/0.69 (step @p212 :rule chain_m_resolution :premises (@p211 @p209) :args (@t230 @t229 (@list @t188))) % 0.45/0.69 (step @p213 :rule skolemize :premises (@p212)) % 0.45/0.69 (step @p214 :rule bool-double-not-elim :args (@t232)) % 0.45/0.69 (step @p215 :rule refl :args (@t238)) % 0.45/0.69 (step @p216 :rule nary_cong :premises (@p215 @p214) :args ((or @t238 (not @t237)))) % 0.45/0.69 (step @p217 :rule cnf_or_neg :args (@t238 0)) % 0.45/0.69 (step @p218 :rule eq_resolve :premises (@p217 @p216)) % 0.45/0.69 (step @p219 :rule reordering :premises (@p218) :args ((or @t232 @t238))) % 0.45/0.69 (step @p220 :rule chain_m_resolution :premises (@p219 @p213) :args (@t232 @t239 @t240)) % 0.45/0.69 (step @p221 :rule aci_norm :args ((= (or (or @t242 @t241) @t155) @t243))) % 0.45/0.69 (step @p222 :rule refl :args (@t155)) % 0.45/0.69 (step @p223 :rule bool-and-de-morgan :args (@t22 @t156 true)) % 0.45/0.69 (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((or (not @t157) @t155))) % 0.45/0.69 (step @p225 :rule trans :premises (@p224 @p221)) % 0.45/0.69 (step @p226 :rule bool-impl-elim :args (@t157 @t155)) % 0.45/0.69 (step @p227 :rule trans :premises (@p226 @p225)) % 0.45/0.69 (step @p228 :rule cong :premises (@p227) :args (@t158)) % 0.45/0.69 (step @p229 :rule eq_resolve :premises (@p77 @p228)) % 0.45/0.69 (step @p230 :rule eq-symm :args (@t231 tptp.n0)) % 0.45/0.69 (step @p231 :rule refl :args (@t245)) % 0.45/0.69 (step @p232 :rule 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@p1351) :args (@t418)) % 0.45/0.70 (step @p1017 :rule refl :args (@t121)) % 0.45/0.70 (step @p1191 :rule symm :premises (@p1189)) % 0.45/0.70 (step @p1353 :rule symm :premises (@p1862)) % 0.45/0.70 (step @p1354 :rule trans :premises (@p1353 @p1191)) % 0.45/0.70 (step @p1355 :rule cong :premises (@p1354 @p1017) :args (@t372)) % 0.45/0.70 (step @p1356 :rule trans :premises (@p1355 @p1352 @p1348)) % 0.45/0.70 (step @p1357 :rule true_elim :premises (@p1356)) % 0.45/0.70 (step-pop @p1876 :rule scope :premises (@p1357)) % 0.45/0.70 (step-pop @p1877 :rule scope :premises (@p1876)) % 0.45/0.70 (step-pop @p1878 :rule scope :premises (@p1877)) % 0.45/0.70 (step-pop @p1879 :rule scope :premises (@p1878)) % 0.45/0.70 (step-pop @p1880 :rule scope :premises (@p1879)) % 0.45/0.70 (step-pop @p1881 :rule scope :premises (@p1880)) % 0.45/0.70 (step-pop @p1882 :rule scope :premises (@p1881)) % 0.45/0.70 (step-pop @p1883 :rule scope :premises (@p1882)) % 0.45/0.70 (step-pop @p1884 :rule scope :premises 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cnf_and_neg :args (@t428)) % 0.45/0.70 (step @p1382 :rule resolution :premises (@p1381 @p1380) :args (true @t428)) % 0.45/0.70 (step @p1383 :rule reordering :premises (@p1382) :args ((or @t272 @t271 @t302 @t372 (not @t425) @t345 @t300 @t288 @t325 @t371))) % 0.45/0.70 (step @p1384 :rule chain_m_resolution :premises (@p1383 @p245 @p246 @p87 @p1329 @p1114 @p1325 @p374 @p538 @p804) :args (@t372 (@list false false false false false false false false false) (@list @t257 @t258 @t301 @t425 @t250 @t299 @t287 @t324 @t370))) % 0.45/0.70 (step @p1385 :rule chain_m_resolution :premises (@p919 @p220 @p1384 @p917) :args (@t396 @t344 (@list @t232 @t372 @t397))) % 0.45/0.70 (step @p1386 :rule chain_m_resolution :premises (@p945 @p343 @p1385) :args (@t399 @t429 (@list @t234 @t396))) % 0.45/0.70 (step @p1387 :rule chain_m_resolution :premises (@p915 @p1386 @p913) :args (@t366 @t429 (@list @t394 @t395))) % 0.45/0.70 (step @p1388 :rule bool-double-not-elim :args (@t289)) % 0.45/0.70 (step @p1389 :rule nary_cong :premises (@p453 @p636 @p452 @p1140 @p1388) :args ((or @t302 @t345 @t300 @t368 (not @t290)))) % 0.45/0.70 (assume-push @p1894 @t301) % 0.45/0.70 (assume-push @p1895 @t299) % 0.45/0.70 (assume-push @p1896 @t366) % 0.45/0.70 (assume-push @p1897 @t250) % 0.45/0.70 (assume-push @p1898 @t290) % 0.45/0.70 (step @p522 :rule evaluate :args (@t317)) % 0.45/0.70 (step @p1395 :rule symm :premises (@p1895)) % 0.45/0.70 (step @p1396 :rule trans :premises (@p1395 @p87)) % 0.45/0.70 (step @p1397 :rule symm :premises (@p1396)) % 0.45/0.70 (step @p1398 :rule symm :premises (@p1896)) % 0.45/0.70 (step @p1399 :rule trans :premises (@p1897 @p1398 @p1395)) % 0.45/0.70 (step @p1400 :rule trans :premises (@p1399 @p87 @p1397)) % 0.45/0.70 (step @p1401 :rule true_intro :premises (@p1400)) % 0.45/0.70 (step @p1402 :rule false_intro :premises (@p1898)) % 0.45/0.70 (step @p1403 :rule symm :premises (@p1402)) % 0.45/0.70 (step @p1404 :rule trans :premises (@p1403 @p1401)) % 0.45/0.70 (step @p1405 false :rule eq_resolve :premises (@p1404 @p522)) % 0.45/0.70 (step-pop @p1899 :rule scope :premises (@p1405)) % 0.45/0.70 (step-pop @p1900 :rule scope :premises (@p1899)) % 0.45/0.70 (step-pop @p1901 :rule scope :premises (@p1900)) % 0.45/0.70 (step-pop @p1902 :rule scope :premises (@p1901)) % 0.45/0.70 (step-pop @p1903 :rule scope :premises (@p1902)) % 0.45/0.70 (step @p1406 :rule process_scope :premises (@p1903) :args (false)) % 0.45/0.70 (assume-push @p1904 @t301) % 0.45/0.70 (assume-push @p1905 @t250) % 0.45/0.70 (assume-push @p1906 @t299) % 0.45/0.70 (assume-push @p1907 @t366) % 0.45/0.70 (assume-push @p1908 @t290) % 0.45/0.70 (step @p1417 :rule and_intro :premises (@p87 @p1906 @p1907 @p1905 @p1908)) % 0.45/0.70 (step-pop @p1909 :rule scope :premises (@p1417)) % 0.45/0.70 (step-pop @p1910 :rule scope :premises (@p1909)) % 0.45/0.70 (step-pop @p1911 :rule scope :premises (@p1910)) % 0.45/0.70 (step-pop @p1912 :rule scope :premises (@p1911)) % 0.45/0.70 (step-pop @p1913 :rule scope :premises (@p1912)) % 0.45/0.70 (step @p1418 :rule process_scope :premises (@p1913) :args (@t430)) % 0.45/0.70 (step @p1424 :rule implies_elim :premises (@p1418)) % 0.45/0.70 (step @p1425 :rule resolution :premises (@p1424 @p1406) :args (true @t430)) % 0.45/0.70 (step @p1426 :rule not_and :premises (@p1425)) % 0.45/0.70 (step @p1427 :rule eq_resolve :premises (@p1426 @p1389)) % 0.45/0.70 (step @p1428 :rule reordering :premises (@p1427) :args ((or @t302 @t289 @t345 @t300 @t368))) % 0.45/0.70 (step @p1429 false :rule chain_m_resolution :premises (@p1428 @p1387 @p1325 @p1139 @p1114 @p87) :args (false (@list false false true false false) (@list @t366 @t299 @t289 @t250 @t301))) % 0.45/0.70 ) % 0.45/0.70 % SZS output end Proof % 0.45/0.70 % cvc5 exiting %------------------------------------------------------------------------------