%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV167+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 : n011.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 09:00:38 AM UTC 2026 % Result : Theorem 0.51s 0.70s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV167+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 : n011.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 19:58:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.51/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/0.70 % SZS status Theorem % 0.51/0.70 % SZS output start Proof % 0.51/0.70 ( % 0.51/0.70 (declare-sort $$unsorted 0) % 0.51/0.70 (declare-const tptp.n135299 $$unsorted) % 0.51/0.70 (declare-const tptp.sigma_init $$unsorted) % 0.51/0.70 (declare-const tptp.center_init $$unsorted) % 0.51/0.70 (declare-const tptp.muold_init $$unsorted) % 0.51/0.70 (declare-const tptp.loopcounter $$unsorted) % 0.51/0.70 (declare-const tptp.mu_init $$unsorted) % 0.51/0.70 (declare-const tptp.def $$unsorted) % 0.51/0.70 (declare-const tptp.use $$unsorted) % 0.51/0.70 (declare-const tptp.true Bool) % 0.51/0.70 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.rho_init $$unsorted) % 0.51/0.70 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.sigmaold_init $$unsorted) % 0.51/0.70 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.init $$unsorted) % 0.51/0.70 (declare-const tptp.n3 $$unsorted) % 0.51/0.70 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.51/0.70 (declare-const tptp.n0 $$unsorted) % 0.51/0.70 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.n1 $$unsorted) % 0.51/0.70 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.n5 $$unsorted) % 0.51/0.70 (declare-const tptp.pv40 $$unsorted) % 0.51/0.70 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.q_init $$unsorted) % 0.51/0.70 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.51/0.70 (declare-const tptp.rhoold_init $$unsorted) % 0.51/0.70 (declare-const tptp.n4 $$unsorted) % 0.51/0.70 (declare-const tptp.n2 $$unsorted) % 0.51/0.70 (define @t1 () (@var "Y" $$unsorted)) % 0.51/0.70 (define @t2 () (@var "X" $$unsorted)) % 0.51/0.70 (define @t3 () (= @t2 @t1)) % 0.51/0.70 (define @t4 () (tptp.gt @t1 @t2)) % 0.51/0.70 (define @t5 () (tptp.gt @t2 @t1)) % 0.51/0.70 (define @t6 () (@list @t2 @t1)) % 0.51/0.70 (define @t7 () (@var "Z" $$unsorted)) % 0.51/0.70 (define @t8 () (@list @t2 @t1 @t7)) % 0.51/0.70 (define @t9 () (@list @t2)) % 0.51/0.70 (define @t10 () (tptp.leq @t2 @t1)) % 0.51/0.70 (define @t11 () (forall @t6 (=> @t4 @t10))) % 0.51/0.70 (define @t12 () (tptp.leq @t2 (tptp.pred @t1))) % 0.51/0.70 (define @t13 () (forall @t6 (= @t12 @t4))) % 0.51/0.70 (define @t14 () (tptp.succ @t2)) % 0.51/0.70 (define @t15 () (tptp.succ @t1)) % 0.51/0.70 (define @t16 () (@var "C" $$unsorted)) % 0.51/0.70 (define @t17 () (tptp.uniform_int_rnd @t16 @t2)) % 0.51/0.70 (define @t18 () (tptp.leq tptp.n0 @t2)) % 0.51/0.70 (define @t19 () (@list @t2 @t16)) % 0.51/0.70 (define @t20 () (@var "Val" $$unsorted)) % 0.51/0.70 (define @t21 () (@var "I" $$unsorted)) % 0.51/0.70 (define @t22 () (@var "U" $$unsorted)) % 0.51/0.70 (define @t23 () (@var "L" $$unsorted)) % 0.51/0.70 (define @t24 () (tptp.leq @t21 @t22)) % 0.51/0.70 (define @t25 () (@var "J" $$unsorted)) % 0.51/0.70 (define @t26 () (@var "U2" $$unsorted)) % 0.51/0.70 (define @t27 () (@var "L2" $$unsorted)) % 0.51/0.70 (define @t28 () (@var "U1" $$unsorted)) % 0.51/0.70 (define @t29 () (@var "L1" $$unsorted)) % 0.51/0.70 (define @t30 () (@var "A" $$unsorted)) % 0.51/0.70 (define @t31 () (tptp.trans @t30)) % 0.51/0.70 (define @t32 () (@var "N" $$unsorted)) % 0.51/0.70 (define @t33 () (tptp.leq @t25 @t32)) % 0.51/0.70 (define @t34 () (tptp.leq tptp.n0 @t25)) % 0.51/0.70 (define @t35 () (tptp.leq @t21 @t32)) % 0.51/0.70 (define @t36 () (tptp.leq tptp.n0 @t21)) % 0.51/0.70 (define @t37 () (and @t36 @t35 @t34 @t33)) % 0.51/0.70 (define @t38 () (@list @t21 @t25)) % 0.51/0.70 (define @t39 () (forall @t38 (=> @t37 (= (tptp.a_select3 @t30 @t21 @t25) (tptp.a_select3 @t30 @t25 @t21))))) % 0.51/0.70 (define @t40 () (@list @t30 @t32)) % 0.51/0.70 (define @t41 () (tptp.inv @t30)) % 0.51/0.70 (define @t42 () (@var "VAL" $$unsorted)) % 0.51/0.70 (define @t43 () (@var "K" $$unsorted)) % 0.51/0.70 (define @t44 () (tptp.tptp_update3 @t30 @t43 @t43 @t42)) % 0.51/0.70 (define @t45 () (@var "B" $$unsorted)) % 0.51/0.70 (define @t46 () (tptp.tptp_madd @t30 @t45)) % 0.51/0.70 (define @t47 () (= (tptp.a_select3 @t45 @t21 @t25) (tptp.a_select3 @t45 @t25 @t21))) % 0.51/0.70 (define @t48 () (forall @t38 (=> @t37 @t47))) % 0.51/0.70 (define @t49 () (and @t39 @t48)) % 0.51/0.70 (define @t50 () (@list @t30 @t45 @t32)) % 0.51/0.70 (define @t51 () (tptp.tptp_msub @t30 @t45)) % 0.51/0.70 (define @t52 () (tptp.tptp_mmul @t30 (tptp.tptp_mmul @t45 @t31))) % 0.51/0.70 (define @t53 () (forall @t38 (=> @t37 (= (tptp.a_select3 @t52 @t21 @t25) (tptp.a_select3 @t52 @t25 @t21))))) % 0.51/0.70 (define @t54 () (@var "M" $$unsorted)) % 0.51/0.70 (define @t55 () (and @t36 (tptp.leq @t21 @t54) @t34 (tptp.leq @t25 @t54))) % 0.51/0.70 (define @t56 () (@var "E" $$unsorted)) % 0.51/0.70 (define @t57 () (@var "F" $$unsorted)) % 0.51/0.70 (define @t58 () (@var "D" $$unsorted)) % 0.51/0.70 (define @t59 () (tptp.tptp_madd @t30 (tptp.tptp_mmul @t45 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t16 (tptp.tptp_mmul @t58 (tptp.trans @t16))) (tptp.tptp_mmul @t56 (tptp.tptp_mmul @t57 (tptp.trans @t56)))) (tptp.trans @t45))))) % 0.51/0.70 (define @t60 () (@var "Body" $$unsorted)) % 0.51/0.70 (define @t61 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t60)) % 0.51/0.70 (define @t62 () (@list @t60)) % 0.51/0.70 (define @t63 () (tptp.succ @t14)) % 0.51/0.70 (define @t64 () (tptp.succ @t63)) % 0.51/0.70 (define @t65 () (tptp.succ @t64)) % 0.51/0.70 (define @t66 () (tptp.succ @t65)) % 0.51/0.70 (define @t67 () (tptp.pred @t2)) % 0.51/0.70 (define @t68 () (tptp.pred @t14)) % 0.51/0.70 (define @t69 () (forall @t9 (= @t68 @t2))) % 0.51/0.70 (define @t70 () (@var "V" $$unsorted)) % 0.51/0.70 (define @t71 () (tptp.tptp_update3 @t2 @t22 @t70 @t42)) % 0.51/0.70 (define @t72 () (@var "VAL2" $$unsorted)) % 0.51/0.70 (define @t73 () (not (= @t21 @t22))) % 0.51/0.70 (define @t74 () (@var "J0" $$unsorted)) % 0.51/0.70 (define @t75 () (@var "I0" $$unsorted)) % 0.51/0.70 (define @t76 () (tptp.leq @t75 @t22)) % 0.51/0.70 (define @t77 () (tptp.leq tptp.n0 @t75)) % 0.51/0.70 (define @t78 () (tptp.tptp_update2 @t2 @t22 @t42)) % 0.51/0.70 (define @t79 () (tptp.a_select2 tptp.mu_init @t25)) % 0.51/0.70 (define @t80 () (tptp.leq @t25 tptp.pv40)) % 0.51/0.70 (define @t81 () (and @t34 @t80)) % 0.51/0.70 (define @t82 () (=> @t81 (= @t79 tptp.init))) % 0.51/0.70 (define @t83 () (@list @t25)) % 0.51/0.70 (define @t84 () (forall @t83 @t82)) % 0.51/0.70 (define @t85 () (tptp.a_select2 tptp.sigmaold_init @t21)) % 0.51/0.70 (define @t86 () (tptp.leq @t21 tptp.n4)) % 0.51/0.70 (define @t87 () (and @t36 @t86)) % 0.51/0.70 (define @t88 () (=> @t87 (= @t85 tptp.init))) % 0.51/0.70 (define @t89 () (@list @t21)) % 0.51/0.70 (define @t90 () (forall @t89 @t88)) % 0.51/0.70 (define @t91 () (tptp.gt tptp.loopcounter tptp.n1)) % 0.51/0.70 (define @t92 () (=> @t91 @t90)) % 0.51/0.70 (define @t93 () (@var "H" $$unsorted)) % 0.51/0.70 (define @t94 () (tptp.a_select2 tptp.rhoold_init @t93)) % 0.51/0.70 (define @t95 () (tptp.leq @t93 tptp.n4)) % 0.51/0.70 (define @t96 () (tptp.leq tptp.n0 @t93)) % 0.51/0.70 (define @t97 () (and @t96 @t95)) % 0.51/0.70 (define @t98 () (=> @t97 (= @t94 tptp.init))) % 0.51/0.70 (define @t99 () (@list @t93)) % 0.51/0.70 (define @t100 () (forall @t99 @t98)) % 0.51/0.70 (define @t101 () (=> @t91 @t100)) % 0.51/0.70 (define @t102 () (@var "G" $$unsorted)) % 0.51/0.70 (define @t103 () (tptp.a_select2 tptp.muold_init @t102)) % 0.51/0.70 (define @t104 () (tptp.leq @t102 tptp.n4)) % 0.51/0.70 (define @t105 () (tptp.leq tptp.n0 @t102)) % 0.51/0.70 (define @t106 () (and @t105 @t104)) % 0.51/0.70 (define @t107 () (=> @t106 (= @t103 tptp.init))) % 0.51/0.70 (define @t108 () (@list @t102)) % 0.51/0.70 (define @t109 () (forall @t108 @t107)) % 0.51/0.70 (define @t110 () (=> @t91 @t109)) % 0.51/0.70 (define @t111 () (tptp.a_select3 tptp.center_init @t57 tptp.n0)) % 0.51/0.70 (define @t112 () (tptp.leq @t57 tptp.n4)) % 0.51/0.70 (define @t113 () (tptp.leq tptp.n0 @t57)) % 0.51/0.70 (define @t114 () (and @t113 @t112)) % 0.51/0.70 (define @t115 () (=> @t114 (= @t111 tptp.init))) % 0.51/0.70 (define @t116 () (@list @t57)) % 0.51/0.70 (define @t117 () (forall @t116 @t115)) % 0.51/0.70 (define @t118 () (tptp.a_select2 tptp.sigma_init @t56)) % 0.51/0.70 (define @t119 () (tptp.pred tptp.pv40)) % 0.51/0.70 (define @t120 () (tptp.leq @t56 @t119)) % 0.51/0.70 (define @t121 () (tptp.leq tptp.n0 @t56)) % 0.51/0.70 (define @t122 () (and @t121 @t120)) % 0.51/0.70 (define @t123 () (=> @t122 (= @t118 tptp.init))) % 0.51/0.70 (define @t124 () (@list @t56)) % 0.51/0.70 (define @t125 () (forall @t124 @t123)) % 0.51/0.70 (define @t126 () (tptp.a_select2 tptp.mu_init @t58)) % 0.51/0.70 (define @t127 () (tptp.leq @t58 @t119)) % 0.51/0.70 (define @t128 () (tptp.leq tptp.n0 @t58)) % 0.51/0.70 (define @t129 () (and @t128 @t127)) % 0.51/0.70 (define @t130 () (=> @t129 (= @t126 tptp.init))) % 0.51/0.70 (define @t131 () (@list @t58)) % 0.51/0.70 (define @t132 () (forall @t131 @t130)) % 0.51/0.70 (define @t133 () (tptp.a_select2 tptp.rho_init @t16)) % 0.51/0.70 (define @t134 () (tptp.leq @t16 tptp.n4)) % 0.51/0.70 (define @t135 () (tptp.leq tptp.n0 @t16)) % 0.51/0.70 (define @t136 () (and @t135 @t134)) % 0.51/0.70 (define @t137 () (=> @t136 (= @t133 tptp.init))) % 0.51/0.70 (define @t138 () (@list @t16)) % 0.51/0.70 (define @t139 () (forall @t138 @t137)) % 0.51/0.70 (define @t140 () (tptp.a_select3 tptp.q_init @t30 @t45)) % 0.51/0.70 (define @t141 () (tptp.leq @t45 tptp.n4)) % 0.51/0.70 (define @t142 () (tptp.leq tptp.n0 @t45)) % 0.51/0.70 (define @t143 () (and @t142 @t141)) % 0.51/0.70 (define @t144 () (=> @t143 (= @t140 tptp.init))) % 0.51/0.70 (define @t145 () (@list @t45)) % 0.51/0.70 (define @t146 () (forall @t145 @t144)) % 0.51/0.70 (define @t147 () (tptp.leq @t30 tptp.n135299)) % 0.51/0.70 (define @t148 () (tptp.leq tptp.n0 @t30)) % 0.51/0.70 (define @t149 () (and @t148 @t147)) % 0.51/0.70 (define @t150 () (=> @t149 @t146)) % 0.51/0.70 (define @t151 () (@list @t30)) % 0.51/0.70 (define @t152 () (forall @t151 @t150)) % 0.51/0.70 (define @t153 () (tptp.leq tptp.pv40 tptp.n4)) % 0.51/0.70 (define @t154 () (tptp.leq tptp.n0 tptp.pv40)) % 0.51/0.70 (define @t155 () (tptp.a_select2 tptp.sigma_init tptp.pv40)) % 0.51/0.70 (define @t156 () (tptp.a_select2 tptp.mu_init tptp.pv40)) % 0.51/0.70 (define @t157 () (and (= @t156 tptp.init) (= @t155 tptp.init) @t154 @t153 @t152 @t139 @t132 @t125 @t117 @t110 @t101 @t92)) % 0.51/0.70 (define @t158 () (=> @t157 @t84)) % 0.51/0.70 (define @t159 () (not @t158)) % 0.51/0.70 (define @t160 () (tptp.gt tptp.n1 tptp.n0)) % 0.51/0.70 (define @t161 () (tptp.gt tptp.n2 tptp.n0)) % 0.51/0.70 (define @t162 () (tptp.gt tptp.n3 tptp.n0)) % 0.51/0.70 (define @t163 () (tptp.gt tptp.n2 tptp.n1)) % 0.51/0.70 (define @t164 () (tptp.gt tptp.n3 tptp.n1)) % 0.51/0.70 (define @t165 () (tptp.gt tptp.n3 tptp.n2)) % 0.51/0.70 (define @t166 () (tptp.gt tptp.n4 tptp.n3)) % 0.51/0.70 (define @t167 () (= @t2 tptp.n4)) % 0.51/0.70 (define @t168 () (= @t2 tptp.n3)) % 0.51/0.70 (define @t169 () (= @t2 tptp.n2)) % 0.51/0.70 (define @t170 () (= @t2 tptp.n1)) % 0.51/0.70 (define @t171 () (= @t2 tptp.n0)) % 0.51/0.70 (define @t172 () (or @t171 @t170 @t169 @t168 @t167)) % 0.51/0.70 (define @t173 () (tptp.leq @t2 tptp.n4)) % 0.51/0.70 (define @t174 () (and @t18 @t173)) % 0.51/0.70 (define @t175 () (forall @t9 (=> @t174 @t172))) % 0.51/0.70 (define @t176 () (tptp.leq @t2 tptp.n0)) % 0.51/0.70 (define @t177 () (and @t18 @t176)) % 0.51/0.70 (define @t178 () (forall @t9 (=> @t177 @t171))) % 0.51/0.70 (define @t179 () (or @t171 @t170)) % 0.51/0.70 (define @t180 () (tptp.leq @t2 tptp.n1)) % 0.51/0.70 (define @t181 () (and @t18 @t180)) % 0.51/0.70 (define @t182 () (forall @t9 (=> @t181 @t179))) % 0.51/0.70 (define @t183 () (or @t171 @t170 @t169)) % 0.51/0.70 (define @t184 () (tptp.leq @t2 tptp.n2)) % 0.51/0.70 (define @t185 () (and @t18 @t184)) % 0.51/0.70 (define @t186 () (forall @t9 (=> @t185 @t183))) % 0.51/0.70 (define @t187 () (or @t171 @t170 @t169 @t168)) % 0.51/0.70 (define @t188 () (tptp.leq @t2 tptp.n3)) % 0.51/0.70 (define @t189 () (and @t18 @t188)) % 0.51/0.70 (define @t190 () (forall @t9 (=> @t189 @t187))) % 0.51/0.70 (define @t191 () (tptp.succ tptp.n0)) % 0.51/0.70 (define @t192 () (tptp.succ @t191)) % 0.51/0.70 (define @t193 () (tptp.succ @t192)) % 0.51/0.70 (define @t194 () (tptp.succ @t193)) % 0.51/0.70 (define @t195 () (@list tptp.n0 tptp.n1)) % 0.51/0.70 (define @t196 () (tptp.leq tptp.n0 tptp.n1)) % 0.51/0.70 (define @t197 () (not @t160)) % 0.51/0.70 (define @t198 () (or @t197 @t196)) % 0.51/0.70 (define @t199 () (@list false false)) % 0.51/0.70 (define @t200 () (= tptp.init @t79)) % 0.51/0.70 (define @t201 () (not @t80)) % 0.51/0.70 (define @t202 () (not @t34)) % 0.51/0.70 (define @t203 () (or @t202 @t201 @t200)) % 0.51/0.70 (define @t204 () (= tptp.init @t85)) % 0.51/0.70 (define @t205 () (not @t86)) % 0.51/0.70 (define @t206 () (not @t36)) % 0.51/0.70 (define @t207 () (= tptp.init @t94)) % 0.51/0.70 (define @t208 () (not @t95)) % 0.51/0.70 (define @t209 () (not @t96)) % 0.51/0.70 (define @t210 () (= tptp.init @t103)) % 0.51/0.70 (define @t211 () (not @t104)) % 0.51/0.70 (define @t212 () (not @t105)) % 0.51/0.70 (define @t213 () (= tptp.init @t111)) % 0.51/0.70 (define @t214 () (not @t112)) % 0.51/0.70 (define @t215 () (not @t113)) % 0.51/0.70 (define @t216 () (= tptp.init @t118)) % 0.51/0.70 (define @t217 () (not @t120)) % 0.51/0.70 (define @t218 () (not @t121)) % 0.51/0.70 (define @t219 () (= tptp.init @t126)) % 0.51/0.70 (define @t220 () (not @t127)) % 0.51/0.70 (define @t221 () (not @t128)) % 0.51/0.70 (define @t222 () (= tptp.init @t133)) % 0.51/0.70 (define @t223 () (not @t134)) % 0.51/0.70 (define @t224 () (not @t135)) % 0.51/0.70 (define @t225 () (@var "BOUND_VARIABLE_8456" $$unsorted)) % 0.51/0.70 (define @t226 () (= tptp.init (tptp.a_select3 tptp.q_init @t30 @t225))) % 0.51/0.70 (define @t227 () (not (tptp.leq @t225 tptp.n4))) % 0.51/0.70 (define @t228 () (not (tptp.leq tptp.n0 @t225))) % 0.51/0.70 (define @t229 () (not @t147)) % 0.51/0.70 (define @t230 () (not @t148)) % 0.51/0.70 (define @t231 () (or @t228 @t227 @t226)) % 0.51/0.70 (define @t232 () (or @t230 @t229 @t231)) % 0.51/0.70 (define @t233 () (forall (@list @t30 @t225) @t232)) % 0.51/0.70 (define @t234 () (@list @t225)) % 0.51/0.70 (define @t235 () (forall @t234 @t232)) % 0.51/0.70 (define @t236 () (forall @t234 @t231)) % 0.51/0.70 (define @t237 () (or @t230 @t229 @t236)) % 0.51/0.70 (define @t238 () (= tptp.init @t140)) % 0.51/0.70 (define @t239 () (not @t141)) % 0.51/0.70 (define @t240 () (not @t142)) % 0.51/0.70 (define @t241 () (or @t240 @t239 @t238)) % 0.51/0.70 (define @t242 () (forall @t145 @t241)) % 0.51/0.70 (define @t243 () (or @t230 @t229 @t242)) % 0.51/0.70 (define @t244 () (forall @t83 @t203)) % 0.51/0.70 (define @t245 () (@quantifiers_skolemize @t244 0)) % 0.51/0.70 (define @t246 () (@list @t245)) % 0.51/0.70 (define @t247 () (= tptp.init (tptp.a_select2 tptp.mu_init @t245))) % 0.51/0.70 (define @t248 () (tptp.leq @t245 tptp.pv40)) % 0.51/0.70 (define @t249 () (not @t248)) % 0.51/0.70 (define @t250 () (tptp.leq tptp.n0 @t245)) % 0.51/0.70 (define @t251 () (not @t250)) % 0.51/0.70 (define @t252 () (or @t251 @t249 @t247)) % 0.51/0.70 (define @t253 () (@list true)) % 0.51/0.70 (define @t254 () (@list @t252)) % 0.51/0.70 (define @t255 () (tptp.leq @t245 @t119)) % 0.51/0.70 (define @t256 () (not @t255)) % 0.51/0.70 (define @t257 () (or @t251 @t256 @t247)) % 0.51/0.70 (define @t258 () (@list false true false)) % 0.51/0.70 (define @t259 () (not @t176)) % 0.51/0.70 (define @t260 () (not @t18)) % 0.51/0.70 (define @t261 () (or @t260 @t259 @t171)) % 0.51/0.70 (define @t262 () (tptp.leq @t245 tptp.n0)) % 0.51/0.70 (define @t263 () (not @t262)) % 0.51/0.70 (define @t264 () (= @t245 tptp.n0)) % 0.51/0.70 (define @t265 () (or @t251 @t263 @t264)) % 0.51/0.70 (define @t266 () (forall @t9 @t261)) % 0.51/0.70 (define @t267 () (= tptp.n0 @t245)) % 0.51/0.70 (define @t268 () (or @t251 @t263 @t267)) % 0.51/0.70 (define @t269 () (@list false)) % 0.51/0.70 (define @t270 () (= tptp.n0 tptp.pv40)) % 0.51/0.70 (define @t271 () (not @t270)) % 0.51/0.70 (define @t272 () (not @t263)) % 0.51/0.70 (define @t273 () (= true false)) % 0.51/0.70 (define @t274 () (and @t263 @t270 @t248)) % 0.51/0.70 (define @t275 () (not @t252)) % 0.51/0.70 (define @t276 () (not @t244)) % 0.51/0.70 (define @t277 () (= tptp.init @t156)) % 0.51/0.70 (define @t278 () (= tptp.n3 tptp.pv40)) % 0.51/0.70 (define @t279 () (= tptp.n3 @t245)) % 0.51/0.70 (define @t280 () (and @t277 @t278 @t279)) % 0.51/0.70 (define @t281 () (not @t279)) % 0.51/0.70 (define @t282 () (not @t278)) % 0.51/0.70 (define @t283 () (not @t277)) % 0.51/0.70 (define @t284 () (not @t180)) % 0.51/0.70 (define @t285 () (or @t260 @t284 @t171 @t170)) % 0.51/0.70 (define @t286 () (tptp.leq @t245 tptp.n1)) % 0.51/0.70 (define @t287 () (not @t286)) % 0.51/0.70 (define @t288 () (= @t245 tptp.n1)) % 0.51/0.70 (define @t289 () (or @t251 @t287 @t264 @t288)) % 0.51/0.70 (define @t290 () (forall @t9 @t285)) % 0.51/0.70 (define @t291 () (= tptp.n1 @t245)) % 0.51/0.70 (define @t292 () (or @t251 @t287 @t267 @t291)) % 0.51/0.70 (define @t293 () (tptp.leq @t245 tptp.n2)) % 0.51/0.70 (define @t294 () (= tptp.n2 tptp.pv40)) % 0.51/0.70 (define @t295 () (not @t294)) % 0.51/0.70 (define @t296 () (not @t293)) % 0.51/0.70 (define @t297 () (and @t296 @t294 @t248)) % 0.51/0.70 (define @t298 () (not @t184)) % 0.51/0.70 (define @t299 () (or @t260 @t298 @t171 @t170 @t169)) % 0.51/0.70 (define @t300 () (= @t245 tptp.n2)) % 0.51/0.70 (define @t301 () (or @t251 @t296 @t264 @t288 @t300)) % 0.51/0.70 (define @t302 () (forall @t9 @t299)) % 0.51/0.70 (define @t303 () (= tptp.n2 @t245)) % 0.51/0.70 (define @t304 () (or @t251 @t296 @t267 @t291 @t303)) % 0.51/0.70 (define @t305 () (not @t303)) % 0.51/0.70 (define @t306 () (= tptp.n3 @t193)) % 0.51/0.70 (define @t307 () (not @t306)) % 0.51/0.70 (define @t308 () (= false true)) % 0.51/0.70 (define @t309 () (and @t306 @t279 @t303 @t294 @t282)) % 0.51/0.70 (define @t310 () (= tptp.n1 tptp.pv40)) % 0.51/0.70 (define @t311 () (not @t310)) % 0.51/0.70 (define @t312 () (and @t287 @t310 @t248)) % 0.51/0.70 (define @t313 () (not @t173)) % 0.51/0.70 (define @t314 () (or @t260 @t313 @t171 @t170 @t169 @t168 @t167)) % 0.51/0.70 (define @t315 () (not @t153)) % 0.51/0.70 (define @t316 () (not @t154)) % 0.51/0.70 (define @t317 () (or @t316 @t315 (= tptp.pv40 tptp.n0) (= tptp.pv40 tptp.n1) (= tptp.pv40 tptp.n2) (= tptp.pv40 tptp.n3) (= tptp.pv40 tptp.n4))) % 0.51/0.70 (define @t318 () (forall @t9 @t314)) % 0.51/0.70 (define @t319 () (= tptp.n4 tptp.pv40)) % 0.51/0.70 (define @t320 () (or @t316 @t315 @t270 @t310 @t294 @t278 @t319)) % 0.51/0.70 (define @t321 () (@list @t318)) % 0.51/0.70 (define @t322 () (tptp.leq @t245 tptp.n3)) % 0.51/0.70 (define @t323 () (not @t322)) % 0.51/0.70 (define @t324 () (not @t323)) % 0.51/0.70 (define @t325 () (and @t323 @t278 @t248)) % 0.51/0.70 (define @t326 () (tptp.leq tptp.n0 tptp.n3)) % 0.51/0.70 (define @t327 () (not @t162)) % 0.51/0.70 (define @t328 () (or @t327 @t326)) % 0.51/0.70 (define @t329 () (not @t267)) % 0.51/0.70 (define @t330 () (not @t326)) % 0.51/0.70 (define @t331 () (and @t326 @t306 @t267 @t323)) % 0.51/0.70 (define @t332 () (tptp.leq tptp.n1 tptp.n3)) % 0.51/0.70 (define @t333 () (not @t164)) % 0.51/0.70 (define @t334 () (or @t333 @t332)) % 0.51/0.70 (define @t335 () (not @t291)) % 0.51/0.70 (define @t336 () (not @t332)) % 0.51/0.70 (define @t337 () (and @t332 @t306 @t291 @t323)) % 0.51/0.70 (define @t338 () (@list tptp.n2 tptp.n3)) % 0.51/0.70 (define @t339 () (tptp.leq tptp.n2 tptp.n3)) % 0.51/0.70 (define @t340 () (not @t165)) % 0.51/0.70 (define @t341 () (or @t340 @t339)) % 0.51/0.70 (define @t342 () (not @t339)) % 0.51/0.70 (define @t343 () (and @t323 @t303 @t339 @t306)) % 0.51/0.70 (define @t344 () (tptp.leq @t245 tptp.n4)) % 0.51/0.70 (define @t345 () (not @t319)) % 0.51/0.70 (define @t346 () (not @t344)) % 0.51/0.70 (define @t347 () (and @t346 @t319 @t248)) % 0.51/0.70 (define @t348 () (tptp.pred tptp.n4)) % 0.51/0.70 (define @t349 () (tptp.leq tptp.n3 @t348)) % 0.51/0.70 (define @t350 () (= @t166 @t349)) % 0.51/0.70 (define @t351 () (= @t193 (tptp.pred @t194))) % 0.51/0.70 (define @t352 () (not @t351)) % 0.51/0.70 (define @t353 () (not @t349)) % 0.51/0.70 (define @t354 () (= tptp.n4 @t194)) % 0.51/0.70 (define @t355 () (not @t354)) % 0.51/0.70 (define @t356 () (and @t323 @t279 @t306 @t351 @t354 @t349)) % 0.51/0.70 (define @t357 () (= @t245 tptp.n3)) % 0.51/0.70 (define @t358 () (or @t251 @t346 @t264 @t288 @t300 @t357 (= @t245 tptp.n4))) % 0.51/0.70 (define @t359 () (= tptp.n4 @t245)) % 0.51/0.70 (define @t360 () (or @t251 @t346 @t267 @t291 @t303 @t279 @t359)) % 0.51/0.70 (define @t361 () (and @t277 @t319 @t359)) % 0.51/0.70 (define @t362 () (not @t256)) % 0.51/0.70 (define @t363 () (and @t322 @t306 @t351 @t354 @t319 @t256)) % 0.51/0.70 (define @t364 () (@list tptp.n1 tptp.n2)) % 0.51/0.70 (define @t365 () (tptp.leq tptp.n1 tptp.n2)) % 0.51/0.70 (define @t366 () (not @t163)) % 0.51/0.70 (define @t367 () (or @t366 @t365)) % 0.51/0.70 (define @t368 () (tptp.pred @t193)) % 0.51/0.70 (define @t369 () (= @t192 @t368)) % 0.51/0.70 (define @t370 () (not @t369)) % 0.51/0.70 (define @t371 () (tptp.pred @t191)) % 0.51/0.70 (define @t372 () (= tptp.n0 @t371)) % 0.51/0.70 (define @t373 () (not @t372)) % 0.51/0.70 (define @t374 () (not @t365)) % 0.51/0.70 (define @t375 () (= tptp.n2 @t192)) % 0.51/0.70 (define @t376 () (not @t375)) % 0.51/0.70 (define @t377 () (= tptp.n1 @t191)) % 0.51/0.70 (define @t378 () (not @t377)) % 0.51/0.70 (define @t379 () (tptp.leq tptp.n1 @t192)) % 0.51/0.70 (define @t380 () (tptp.pred tptp.n1)) % 0.51/0.70 (define @t381 () (and @t365 @t375 @t291 @t279 @t369 @t306 @t377 @t372 @t263)) % 0.51/0.70 (define @t382 () (and @t277 @t310 @t291)) % 0.51/0.70 (define @t383 () (and @t365 @t375 @t291 @t369 @t306 @t278 @t256)) % 0.51/0.70 (define @t384 () (tptp.leq tptp.n1 (tptp.pred tptp.n2))) % 0.51/0.70 (define @t385 () (= @t163 @t384)) % 0.51/0.70 (define @t386 () (tptp.pred @t192)) % 0.51/0.70 (define @t387 () (= @t191 @t386)) % 0.51/0.70 (define @t388 () (not @t387)) % 0.51/0.70 (define @t389 () (not @t384)) % 0.51/0.70 (define @t390 () (and @t384 @t375 @t387 @t291 @t294 @t256)) % 0.51/0.70 (define @t391 () (not @t188)) % 0.51/0.70 (define @t392 () (or @t260 @t391 @t171 @t170 @t169 @t168)) % 0.51/0.70 (define @t393 () (or @t251 @t323 @t264 @t288 @t300 @t357)) % 0.51/0.70 (define @t394 () (forall @t9 @t392)) % 0.51/0.70 (define @t395 () (or @t251 @t323 @t267 @t291 @t303 @t279)) % 0.51/0.70 (define @t396 () (and @t277 @t294 @t303)) % 0.51/0.70 (define @t397 () (tptp.leq tptp.n2 (tptp.pred tptp.n3))) % 0.51/0.70 (define @t398 () (= @t165 @t397)) % 0.51/0.70 (define @t399 () (not @t397)) % 0.51/0.70 (define @t400 () (and @t278 @t303 @t256 @t369 @t397 @t306)) % 0.51/0.70 (define @t401 () (tptp.leq tptp.n0 tptp.n2)) % 0.51/0.70 (define @t402 () (not @t161)) % 0.51/0.70 (define @t403 () (or @t402 @t401)) % 0.51/0.70 (define @t404 () (not @t401)) % 0.51/0.70 (define @t405 () (and @t401 @t375 @t267 @t369 @t306 @t278 @t256)) % 0.51/0.70 (define @t406 () (tptp.leq tptp.n0 @t380)) % 0.51/0.70 (define @t407 () (= @t160 @t406)) % 0.51/0.70 (define @t408 () (not @t406)) % 0.51/0.70 (define @t409 () (and @t406 @t377 @t372 @t267 @t310 @t256)) % 0.51/0.70 (define @t410 () (and @t277 @t270 @t267)) % 0.51/0.70 (define @t411 () (not @t196)) % 0.51/0.70 (define @t412 () (and @t196 @t377 @t267 @t387 @t375 @t294 @t256)) % 0.51/0.70 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.51/0.70 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.51/0.70 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.51/0.70 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.51/0.70 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.51/0.70 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.51/0.70 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.51/0.70 (assume @p8 @t11) % 0.51/0.70 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.51/0.70 (assume @p10 @t13) % 0.51/0.70 (assume @p11 (forall @t9 (tptp.gt @t14 @t2))) % 0.51/0.70 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t15)))) % 0.51/0.70 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t15 @t2)))) % 0.51/0.70 (assume @p14 (forall @t19 (=> @t18 (tptp.leq @t17 @t2)))) % 0.51/0.70 (assume @p15 (forall @t19 (=> @t18 (tptp.leq tptp.n0 @t17)))) % 0.51/0.70 (assume @p16 (forall (@list @t21 @t23 @t22 @t20) (=> (and (tptp.leq @t23 @t21) @t24) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t23 @t22) @t20) @t21) @t20)))) % 0.51/0.70 (assume @p17 (forall (@list @t21 @t29 @t28 @t25 @t27 @t26 @t20) (=> (and (tptp.leq @t29 @t21) (tptp.leq @t21 @t28) (tptp.leq @t27 @t25) (tptp.leq @t25 @t26)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t29 @t28) (tptp.dim @t27 @t26) @t20) @t21 @t25) @t20)))) % 0.51/0.70 (assume @p18 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (= (tptp.a_select3 @t31 @t21 @t25) (tptp.a_select3 @t31 @t25 @t21))))))) % 0.51/0.70 (assume @p19 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (= (tptp.a_select3 @t41 @t21 @t25) (tptp.a_select3 @t41 @t25 @t21))))))) % 0.51/0.70 (assume @p20 (forall @t40 (=> @t39 (forall (@list @t21 @t25 @t43 @t42) (=> (and @t36 @t35 @t34 @t33 (tptp.leq tptp.n0 @t43) (tptp.leq @t43 @t32)) (= (tptp.a_select3 @t44 @t21 @t25) (tptp.a_select3 @t44 @t25 @t21))))))) % 0.51/0.70 (assume @p21 (forall @t50 (=> @t49 (forall @t38 (=> @t37 (= (tptp.a_select3 @t46 @t21 @t25) (tptp.a_select3 @t46 @t25 @t21))))))) % 0.51/0.70 (assume @p22 (forall @t50 (=> @t49 (forall @t38 (=> @t37 (= (tptp.a_select3 @t51 @t21 @t25) (tptp.a_select3 @t51 @t25 @t21))))))) % 0.51/0.70 (assume @p23 (forall @t50 (=> @t48 @t53))) % 0.51/0.70 (assume @p24 (forall (@list @t30 @t45 @t32 @t54) (=> (forall @t38 (=> @t55 @t47)) @t53))) % 0.51/0.70 (assume @p25 (forall (@list @t30 @t45 @t16 @t58 @t56 @t57 @t32 @t54) (=> (and (forall @t38 (=> @t55 (= (tptp.a_select3 @t58 @t21 @t25) (tptp.a_select3 @t58 @t25 @t21)))) @t39 (forall @t38 (=> @t37 (= (tptp.a_select3 @t57 @t21 @t25) (tptp.a_select3 @t57 @t25 @t21))))) (forall @t38 (=> @t37 (= (tptp.a_select3 @t59 @t21 @t25) (tptp.a_select3 @t59 @t25 @t21))))))) % 0.51/0.70 (assume @p26 (forall @t62 (= @t61 tptp.n0))) % 0.51/0.70 (assume @p27 (forall @t62 (= tptp.tptp_float_0_0 @t61))) % 0.51/0.70 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.51/0.70 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t14))) % 0.51/0.70 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t14))) % 0.51/0.70 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t63))) % 0.51/0.70 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t63))) % 0.51/0.70 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t64))) % 0.51/0.70 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t64))) % 0.51/0.70 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t65))) % 0.51/0.70 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t65))) % 0.51/0.70 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t66))) % 0.51/0.70 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t66))) % 0.51/0.70 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t67))) % 0.51/0.70 (assume @p40 @t69) % 0.51/0.70 (assume @p41 (forall @t9 (= (tptp.succ @t67) @t2))) % 0.51/0.70 (assume @p42 (forall @t6 (= (tptp.leq @t14 @t15) @t10))) % 0.51/0.70 (assume @p43 (forall @t6 (=> (tptp.leq @t14 @t1) @t4))) % 0.51/0.70 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.51/0.70 (assume @p45 (forall (@list @t2 @t22 @t70 @t42) (= (tptp.a_select3 @t71 @t22 @t70) @t42))) % 0.51/0.70 (assume @p46 (forall (@list @t21 @t25 @t22 @t70 @t2 @t42 @t72) (=> (and @t73 (= @t25 @t70) (= (tptp.a_select3 @t2 @t22 @t70) @t42)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t21 @t25 @t72) @t22 @t70) @t42)))) % 0.51/0.70 (assume @p47 (forall (@list @t21 @t25 @t22 @t70 @t2 @t42) (=> (and (forall (@list @t75 @t74) (=> (and @t77 (tptp.leq tptp.n0 @t74) @t76 (tptp.leq @t74 @t70)) (= (tptp.a_select3 @t2 @t75 @t74) @t42))) @t36 @t24 @t34 (tptp.leq @t25 @t70)) (= (tptp.a_select3 @t71 @t21 @t25) @t42)))) % 0.51/0.70 (assume @p48 (forall (@list @t2 @t22 @t42) (= (tptp.a_select2 @t78 @t22) @t42))) % 0.51/0.70 (assume @p49 (forall (@list @t21 @t22 @t2 @t42 @t72) (=> (and @t73 (= (tptp.a_select2 @t2 @t22) @t42)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t21 @t72) @t22) @t42)))) % 0.51/0.70 (assume @p50 (forall (@list @t21 @t22 @t2 @t42) (=> (and (forall (@list @t75) (=> (and @t77 @t76) (= (tptp.a_select2 @t2 @t75) @t42))) @t36 @t24) (= (tptp.a_select2 @t78 @t21) @t42)))) % 0.51/0.70 (assume @p51 tptp.true) % 0.51/0.70 (assume @p52 (not (= tptp.def tptp.use))) % 0.51/0.70 (assume @p53 @t159) % 0.51/0.70 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.51/0.70 (assume @p55 (tptp.gt tptp.n135299 tptp.n4)) % 0.51/0.70 (assume @p56 (tptp.gt tptp.n135299 tptp.n5)) % 0.51/0.70 (assume @p57 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.51/0.70 (assume @p58 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.51/0.70 (assume @p59 (tptp.gt tptp.n135299 tptp.tptp_minus_1)) % 0.51/0.70 (assume @p60 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.51/0.70 (assume @p61 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.51/0.70 (assume @p62 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.51/0.70 (assume @p63 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.51/0.70 (assume @p64 (tptp.gt tptp.n4 tptp.n0)) % 0.51/0.70 (assume @p65 (tptp.gt tptp.n5 tptp.n0)) % 0.51/0.70 (assume @p66 (tptp.gt tptp.n135299 tptp.n0)) % 0.51/0.70 (assume @p67 @t160) % 0.51/0.70 (assume @p68 @t161) % 0.51/0.70 (assume @p69 @t162) % 0.51/0.70 (assume @p70 (tptp.gt tptp.n4 tptp.n1)) % 0.51/0.70 (assume @p71 (tptp.gt tptp.n5 tptp.n1)) % 0.51/0.70 (assume @p72 (tptp.gt tptp.n135299 tptp.n1)) % 0.51/0.70 (assume @p73 @t163) % 0.51/0.70 (assume @p74 @t164) % 0.51/0.70 (assume @p75 (tptp.gt tptp.n4 tptp.n2)) % 0.51/0.70 (assume @p76 (tptp.gt tptp.n5 tptp.n2)) % 0.51/0.70 (assume @p77 (tptp.gt tptp.n135299 tptp.n2)) % 0.51/0.70 (assume @p78 @t165) % 0.51/0.70 (assume @p79 @t166) % 0.51/0.70 (assume @p80 (tptp.gt tptp.n5 tptp.n3)) % 0.51/0.70 (assume @p81 (tptp.gt tptp.n135299 tptp.n3)) % 0.51/0.70 (assume @p82 @t175) % 0.51/0.70 (assume @p83 (forall @t9 (=> (and @t18 (tptp.leq @t2 tptp.n5)) (or @t171 @t170 @t169 @t168 @t167 (= @t2 tptp.n5))))) % 0.51/0.70 (assume @p84 @t178) % 0.51/0.70 (assume @p85 @t182) % 0.51/0.70 (assume @p86 @t186) % 0.51/0.70 (assume @p87 @t190) % 0.51/0.70 (assume @p88 (= @t194 tptp.n4)) % 0.51/0.70 (assume @p89 (= (tptp.succ @t194) tptp.n5)) % 0.51/0.70 (assume @p90 (= @t191 tptp.n1)) % 0.51/0.70 (assume @p91 (= @t192 tptp.n2)) % 0.51/0.70 (assume @p92 (= @t193 tptp.n3)) % 0.51/0.70 (assume @p93 true) % 0.51/0.70 (step @p94 :rule symm :premises (@p90)) % 0.51/0.70 (step @p95 :rule symm :premises (@p91)) % 0.51/0.70 (step @p96 :rule eq-symm :args (@t68 @t2)) % 0.51/0.70 (step @p97 :rule cong :premises (@p96) :args (@t69)) % 0.51/0.70 (step @p98 :rule eq_resolve :premises (@p40 @p97)) % 0.51/0.70 (step @p99 :rule instantiate :premises (@p98) :args ((@list @t191))) % 0.51/0.70 (step @p100 :rule bool-impl-elim :args (@t4 @t10)) % 0.51/0.70 (step @p101 :rule cong :premises (@p100) :args (@t11)) % 0.51/0.70 (step @p102 :rule eq_resolve :premises (@p8 @p101)) % 0.51/0.70 (step @p103 :rule instantiate :premises (@p102) :args (@t195)) % 0.51/0.70 (step @p104 :rule cnf_or_pos :args (@t198)) % 0.51/0.70 (step @p105 :rule reordering :premises (@p104) :args ((or @t197 @t196 (not @t198)))) % 0.51/0.70 (step @p106 :rule chain_m_resolution :premises (@p105 @p67 @p103) :args (@t196 @t199 (@list @t160 @t198))) % 0.51/0.70 (step @p107 :rule aci_norm :args ((= (or (or @t202 @t201) @t200) @t203))) % 0.51/0.70 (step @p108 :rule refl :args (@t200)) % 0.51/0.70 (step @p109 :rule bool-and-de-morgan :args (@t34 @t80 true)) % 0.51/0.70 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or (not @t81) @t200))) % 0.51/0.70 (step @p111 :rule trans :premises (@p110 @p107)) % 0.51/0.70 (step @p112 :rule bool-impl-elim :args (@t81 @t200)) % 0.51/0.70 (step @p113 :rule trans :premises (@p112 @p111)) % 0.51/0.70 (step @p114 :rule cong :premises (@p113) :args ((forall @t83 (=> @t81 @t200)))) % 0.51/0.70 (step @p115 :rule eq-symm :args (@t79 tptp.init)) % 0.51/0.70 (step @p116 :rule refl :args (@t81)) % 0.51/0.70 (step @p117 :rule cong :premises (@p116 @p115) :args (@t82)) % 0.51/0.70 (step @p118 :rule cong :premises (@p117) :args (@t84)) % 0.51/0.70 (step @p119 :rule trans :premises (@p118 @p114)) % 0.51/0.70 (step @p120 :rule aci_norm :args ((= (or (or @t206 @t205) @t204) (or @t206 @t205 @t204)))) % 0.51/0.70 (step @p121 :rule refl :args (@t204)) % 0.51/0.70 (step @p122 :rule bool-and-de-morgan :args (@t36 @t86 true)) % 0.51/0.70 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or (not @t87) @t204))) % 0.51/0.70 (step @p124 :rule trans :premises (@p123 @p120)) % 0.51/0.70 (step @p125 :rule bool-impl-elim :args (@t87 @t204)) % 0.51/0.70 (step @p126 :rule trans :premises (@p125 @p124)) % 0.51/0.70 (step @p127 :rule cong :premises (@p126) :args ((forall @t89 (=> @t87 @t204)))) % 0.51/0.70 (step @p128 :rule eq-symm :args (@t85 tptp.init)) % 0.51/0.70 (step @p129 :rule refl :args (@t87)) % 0.51/0.70 (step @p130 :rule cong :premises (@p129 @p128) :args (@t88)) % 0.51/0.70 (step @p131 :rule cong :premises (@p130) :args (@t90)) % 0.51/0.70 (step @p132 :rule trans :premises (@p131 @p127)) % 0.51/0.70 (step @p133 :rule refl :args (@t91)) % 0.51/0.70 (step @p134 :rule cong :premises (@p133 @p132) :args (@t92)) % 0.51/0.70 (step @p135 :rule aci_norm :args ((= (or (or @t209 @t208) @t207) (or @t209 @t208 @t207)))) % 0.51/0.70 (step @p136 :rule refl :args (@t207)) % 0.51/0.70 (step @p137 :rule bool-and-de-morgan :args (@t96 @t95 true)) % 0.51/0.70 (step @p138 :rule nary_cong :premises (@p137 @p136) :args ((or (not @t97) @t207))) % 0.51/0.70 (step @p139 :rule trans :premises (@p138 @p135)) % 0.51/0.70 (step @p140 :rule bool-impl-elim :args (@t97 @t207)) % 0.51/0.70 (step @p141 :rule trans :premises (@p140 @p139)) % 0.51/0.70 (step @p142 :rule cong :premises (@p141) :args ((forall @t99 (=> @t97 @t207)))) % 0.51/0.70 (step @p143 :rule eq-symm :args (@t94 tptp.init)) % 0.51/0.70 (step @p144 :rule refl :args (@t97)) % 0.51/0.70 (step @p145 :rule cong :premises (@p144 @p143) :args (@t98)) % 0.51/0.70 (step @p146 :rule cong :premises (@p145) :args (@t100)) % 0.51/0.70 (step @p147 :rule trans :premises (@p146 @p142)) % 0.51/0.70 (step @p148 :rule cong :premises (@p133 @p147) :args (@t101)) % 0.51/0.70 (step @p149 :rule aci_norm :args ((= (or (or @t212 @t211) @t210) (or @t212 @t211 @t210)))) % 0.51/0.70 (step @p150 :rule refl :args (@t210)) % 0.51/0.70 (step @p151 :rule bool-and-de-morgan :args (@t105 @t104 true)) % 0.51/0.70 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or (not @t106) @t210))) % 0.51/0.70 (step @p153 :rule trans :premises (@p152 @p149)) % 0.51/0.70 (step @p154 :rule bool-impl-elim :args (@t106 @t210)) % 0.51/0.70 (step @p155 :rule trans :premises (@p154 @p153)) % 0.51/0.70 (step @p156 :rule cong :premises (@p155) :args ((forall @t108 (=> @t106 @t210)))) % 0.51/0.70 (step @p157 :rule eq-symm :args (@t103 tptp.init)) % 0.51/0.70 (step @p158 :rule refl :args (@t106)) % 0.51/0.70 (step @p159 :rule cong :premises (@p158 @p157) :args (@t107)) % 0.51/0.70 (step @p160 :rule cong :premises (@p159) :args (@t109)) % 0.51/0.70 (step @p161 :rule trans :premises (@p160 @p156)) % 0.51/0.70 (step @p162 :rule cong :premises (@p133 @p161) :args (@t110)) % 0.51/0.70 (step @p163 :rule aci_norm :args ((= (or (or @t215 @t214) @t213) (or @t215 @t214 @t213)))) % 0.51/0.70 (step @p164 :rule refl :args (@t213)) % 0.51/0.70 (step @p165 :rule bool-and-de-morgan :args (@t113 @t112 true)) % 0.51/0.70 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or (not @t114) @t213))) % 0.51/0.70 (step @p167 :rule trans :premises (@p166 @p163)) % 0.51/0.70 (step @p168 :rule bool-impl-elim :args (@t114 @t213)) % 0.51/0.70 (step @p169 :rule trans :premises (@p168 @p167)) % 0.51/0.70 (step @p170 :rule cong :premises (@p169) :args ((forall @t116 (=> @t114 @t213)))) % 0.51/0.70 (step @p171 :rule eq-symm :args (@t111 tptp.init)) % 0.51/0.70 (step @p172 :rule refl :args (@t114)) % 0.51/0.70 (step @p173 :rule cong :premises (@p172 @p171) :args (@t115)) % 0.51/0.70 (step @p174 :rule cong :premises (@p173) :args (@t117)) % 0.51/0.70 (step @p175 :rule trans :premises (@p174 @p170)) % 0.51/0.70 (step @p176 :rule aci_norm :args ((= (or (or @t218 @t217) @t216) (or @t218 @t217 @t216)))) % 0.51/0.70 (step @p177 :rule refl :args (@t216)) % 0.51/0.70 (step @p178 :rule bool-and-de-morgan :args (@t121 @t120 true)) % 0.51/0.70 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((or (not @t122) @t216))) % 0.51/0.70 (step @p180 :rule trans :premises (@p179 @p176)) % 0.51/0.70 (step @p181 :rule bool-impl-elim :args (@t122 @t216)) % 0.51/0.70 (step @p182 :rule trans :premises (@p181 @p180)) % 0.51/0.70 (step @p183 :rule cong :premises (@p182) :args ((forall @t124 (=> @t122 @t216)))) % 0.51/0.70 (step @p184 :rule eq-symm :args (@t118 tptp.init)) % 0.51/0.70 (step @p185 :rule refl :args (@t122)) % 0.51/0.70 (step @p186 :rule cong :premises (@p185 @p184) :args (@t123)) % 0.51/0.70 (step @p187 :rule cong :premises (@p186) :args (@t125)) % 0.51/0.70 (step @p188 :rule trans :premises (@p187 @p183)) % 0.51/0.70 (step @p189 :rule aci_norm :args ((= (or (or @t221 @t220) @t219) (or @t221 @t220 @t219)))) % 0.51/0.70 (step @p190 :rule refl :args (@t219)) % 0.51/0.70 (step @p191 :rule bool-and-de-morgan :args (@t128 @t127 true)) % 0.51/0.70 (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((or (not @t129) @t219))) % 0.51/0.70 (step @p193 :rule trans :premises (@p192 @p189)) % 0.51/0.70 (step @p194 :rule bool-impl-elim :args (@t129 @t219)) % 0.51/0.70 (step @p195 :rule trans :premises (@p194 @p193)) % 0.51/0.70 (step @p196 :rule cong :premises (@p195) :args ((forall @t131 (=> @t129 @t219)))) % 0.51/0.70 (step @p197 :rule eq-symm :args (@t126 tptp.init)) % 0.51/0.70 (step @p198 :rule refl :args (@t129)) % 0.51/0.70 (step @p199 :rule cong :premises (@p198 @p197) :args (@t130)) % 0.51/0.70 (step @p200 :rule cong :premises (@p199) :args (@t132)) % 0.51/0.70 (step @p201 :rule trans :premises (@p200 @p196)) % 0.51/0.70 (step @p202 :rule aci_norm :args ((= (or (or @t224 @t223) @t222) (or @t224 @t223 @t222)))) % 0.51/0.70 (step @p203 :rule refl :args (@t222)) % 0.51/0.70 (step @p204 :rule bool-and-de-morgan :args (@t135 @t134 true)) % 0.51/0.70 (step @p205 :rule nary_cong :premises (@p204 @p203) :args ((or (not @t136) @t222))) % 0.51/0.70 (step @p206 :rule trans :premises (@p205 @p202)) % 0.51/0.70 (step @p207 :rule bool-impl-elim :args (@t136 @t222)) % 0.51/0.70 (step @p208 :rule trans :premises (@p207 @p206)) % 0.51/0.70 (step @p209 :rule cong :premises (@p208) :args ((forall @t138 (=> @t136 @t222)))) % 0.51/0.70 (step @p210 :rule eq-symm :args (@t133 tptp.init)) % 0.51/0.70 (step @p211 :rule refl :args (@t136)) % 0.51/0.70 (step @p212 :rule cong :premises (@p211 @p210) :args (@t137)) % 0.51/0.70 (step @p213 :rule cong :premises (@p212) :args (@t139)) % 0.51/0.70 (step @p214 :rule trans :premises (@p213 @p209)) % 0.51/0.70 (step @p215 :rule aci_norm :args ((= @t232 (or @t230 @t229 @t228 @t227 @t226)))) % 0.51/0.70 (step @p216 :rule cong :premises (@p215) :args (@t233)) % 0.51/0.70 (step @p217 :rule quant-merge-prenex :args ((= (forall @t151 @t235) @t233))) % 0.51/0.70 (step @p218 :rule alpha_equiv :args (@t236 (@list @t225) (@list @t45))) % 0.51/0.70 (step @p219 :rule refl :args (@t229)) % 0.51/0.70 (step @p220 :rule refl :args (@t230)) % 0.51/0.70 (step @p221 :rule nary_cong :premises (@p220 @p219 @p218) :args (@t237)) % 0.51/0.70 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@p525 @p524 @p1108 @p268 @p350 @p523 @p308 @p1084 @p823 @p1082 @p275 @p398 @p396 @p275 @p1063 @p941 @p341 @p308 @p302 @p300 @p275) :args (@t267 (@list true false false false false true false false false true true false true false false false false false true false false true true true false true false false) (@list @t255 @t397 @t369 @t306 @t278 @t319 @t320 @t153 @t154 @t294 @t247 @t277 @t310 @t248 @t303 @t322 @t395 @t250 @t286 @t292 @t250 @t291 @t279 @t270 @t248 @t262 @t268 @t250))) % 0.51/0.71 (step @p1160 :rule instantiate :premises (@p102) :args ((@list tptp.n0 tptp.n2))) % 0.51/0.71 (step @p1161 :rule cnf_or_pos :args (@t403)) % 0.51/0.71 (step @p1162 :rule reordering :premises (@p1161) :args ((or @t402 @t401 (not @t403)))) % 0.51/0.71 (step @p1163 :rule chain_m_resolution :premises (@p1162 @p68 @p1160) :args (@t401 @t199 (@list @t161 @t403))) % 0.51/0.71 (step @p1164 :rule refl :args (@t404)) % 0.51/0.71 (step @p1165 :rule nary_cong :premises (@p880 @p454 @p1164 @p585 @p877 @p825 @p554) :args ((or @t376 @t307 @t404 @t329 @t370 @t362 @t282))) % 0.51/0.71 (assume-push @p1689 @t401) % 0.51/0.71 (assume-push @p1690 @t375) % 0.51/0.71 (assume-push @p1691 @t267) % 0.51/0.71 (assume-push @p1692 @t369) % 0.51/0.71 (assume-push @p1693 @t306) % 0.51/0.71 (assume-push @p1694 @t278) % 0.51/0.71 (assume-push @p1695 @t256) % 0.51/0.71 (step @p461 :rule evaluate :args (@t308)) % 0.51/0.71 (step @p1173 :rule true_intro :premises (@p1163)) % 0.51/0.71 (step @p593 :rule refl :args (tptp.n0)) % 0.51/0.71 (step @p1174 :rule cong :premises (@p593 @p91) :args ((tptp.leq tptp.n0 @t192))) % 0.51/0.71 (step @p894 :rule symm :premises (@p872)) % 0.51/0.71 (step @p1175 :rule symm :premises (@p1694)) % 0.51/0.71 (step @p1176 :rule trans :premises (@p1175 @p450)) % 0.51/0.71 (step @p1177 :rule cong :premises (@p1176) :args (@t119)) % 0.51/0.71 (step @p1178 :rule trans :premises (@p1177 @p894)) % 0.51/0.71 (step @p1179 :rule symm :premises (@p1691)) % 0.51/0.71 (step @p1180 :rule cong :premises (@p1179 @p1178) :args (@t255)) % 0.51/0.71 (step @p839 :rule false_intro :premises (@p278)) % 0.51/0.71 (step @p840 :rule symm :premises (@p839)) % 0.51/0.71 (step @p1181 :rule trans :premises (@p840 @p1180 @p1174 @p1173)) % 0.51/0.71 (step @p1182 false :rule eq_resolve :premises (@p1181 @p461)) % 0.51/0.71 (step-pop @p1696 :rule scope :premises (@p1182)) % 0.51/0.71 (step-pop @p1697 :rule scope :premises (@p1696)) % 0.51/0.71 (step-pop @p1698 :rule scope :premises (@p1697)) % 0.51/0.71 (step-pop @p1699 :rule scope :premises (@p1698)) % 0.51/0.71 (step-pop @p1700 :rule scope :premises (@p1699)) % 0.51/0.71 (step-pop @p1701 :rule scope :premises (@p1700)) % 0.51/0.71 (step-pop @p1702 :rule scope :premises (@p1701)) % 0.51/0.71 (step @p1183 :rule process_scope :premises (@p1702) :args (false)) % 0.51/0.71 (assume-push @p1703 @t375) % 0.51/0.71 (assume-push @p1704 @t306) % 0.51/0.71 (assume-push @p1705 @t401) % 0.51/0.71 (assume-push @p1706 @t267) % 0.51/0.71 (assume-push @p1707 @t369) % 0.51/0.71 (assume-push @p1708 @t256) % 0.51/0.71 (assume-push @p1709 @t278) % 0.51/0.71 (step @p1198 :rule and_intro :premises (@p1163 @p95 @p1706 @p872 @p450 @p1709 @p278)) % 0.51/0.71 (step-pop @p1710 :rule scope :premises (@p1198)) % 0.51/0.71 (step-pop @p1711 :rule scope :premises (@p1710)) % 0.51/0.71 (step-pop @p1712 :rule scope :premises (@p1711)) % 0.51/0.71 (step-pop @p1713 :rule scope :premises (@p1712)) % 0.51/0.71 (step-pop @p1714 :rule scope :premises (@p1713)) % 0.51/0.71 (step-pop @p1715 :rule scope :premises (@p1714)) % 0.51/0.71 (step-pop @p1716 :rule scope :premises (@p1715)) % 0.51/0.71 (step @p1199 :rule process_scope :premises (@p1716) :args (@t405)) % 0.51/0.71 (step @p1207 :rule implies_elim :premises (@p1199)) % 0.51/0.71 (step @p1208 :rule resolution :premises (@p1207 @p1183) :args (true @t405)) % 0.51/0.71 (step @p1209 :rule not_and :premises (@p1208)) % 0.51/0.71 (step @p1210 :rule eq_resolve :premises (@p1209 @p1165)) % 0.51/0.71 (step @p1211 :rule reordering :premises (@p1210) :args ((or @t376 @t307 @t255 @t404 @t329 @t370 @t282))) % 0.51/0.71 (step @p1212 :rule chain_m_resolution :premises (@p1211 @p95 @p450 @p278 @p1163 @p1159 @p872) :args (@t282 (@list false false true false false false) (@list @t375 @t306 @t255 @t401 @t267 @t369))) % 0.51/0.71 (step @p1213 :rule instantiate :premises (@p733) :args (@t195)) % 0.51/0.71 (step @p1214 :rule cnf_equiv_pos1 :args (@t407)) % 0.51/0.71 (step @p1215 :rule reordering :premises (@p1214) :args ((or @t197 @t406 (not @t407)))) % 0.51/0.71 (step @p1216 :rule chain_m_resolution :premises (@p1215 @p67 @p1213) :args (@t406 @t199 (@list @t160 @t407))) % 0.51/0.71 (step @p1217 :rule refl :args (@t408)) % 0.51/0.71 (step @p1218 :rule nary_cong :premises (@p881 @p585 @p1217 @p878 @p825 @p497) :args ((or @t378 @t329 @t408 @t373 @t362 @t311))) % 0.51/0.71 (assume-push @p1717 @t406) % 0.51/0.71 (assume-push @p1718 @t377) % 0.51/0.71 (assume-push @p1719 @t372) % 0.51/0.71 (assume-push @p1720 @t267) % 0.51/0.71 (assume-push @p1721 @t310) % 0.51/0.71 (assume-push @p1722 @t256) % 0.51/0.71 (step @p461 :rule evaluate :args (@t308)) % 0.51/0.71 (step @p1225 :rule true_intro :premises (@p1216)) % 0.51/0.71 (step @p898 :rule cong :premises (@p90) :args (@t371)) % 0.51/0.71 (step @p1226 :rule trans :premises (@p871 @p898)) % 0.51/0.71 (step @p593 :rule refl :args (tptp.n0)) % 0.51/0.71 (step @p1227 :rule cong :premises (@p593 @p1226) :args ((tptp.leq tptp.n0 tptp.n0))) % 0.51/0.71 (step @p1228 :rule symm :premises (@p871)) % 0.51/0.71 (step @p1229 :rule symm :premises (@p1721)) % 0.51/0.71 (step @p1230 :rule trans :premises (@p1229 @p94)) % 0.51/0.71 (step @p1231 :rule cong :premises (@p1230) :args (@t119)) % 0.51/0.71 (step @p1232 :rule trans :premises (@p1231 @p1228)) % 0.51/0.71 (step @p1233 :rule symm :premises (@p1720)) % 0.51/0.71 (step @p1234 :rule cong :premises (@p1233 @p1232) :args (@t255)) % 0.51/0.71 (step @p839 :rule false_intro :premises (@p278)) % 0.51/0.71 (step @p840 :rule symm :premises (@p839)) % 0.51/0.71 (step @p1235 :rule trans :premises (@p840 @p1234 @p1227 @p1225)) % 0.51/0.71 (step @p1236 false :rule eq_resolve :premises (@p1235 @p461)) % 0.51/0.71 (step-pop @p1723 :rule scope :premises (@p1236)) % 0.51/0.71 (step-pop @p1724 :rule scope :premises (@p1723)) % 0.51/0.71 (step-pop @p1725 :rule scope :premises (@p1724)) % 0.51/0.71 (step-pop @p1726 :rule scope :premises (@p1725)) % 0.51/0.71 (step-pop @p1727 :rule scope :premises (@p1726)) % 0.51/0.71 (step-pop @p1728 :rule scope :premises (@p1727)) % 0.51/0.71 (step @p1237 :rule process_scope :premises (@p1728) :args (false)) % 0.51/0.71 (assume-push @p1729 @t377) % 0.51/0.71 (assume-push @p1730 @t267) % 0.51/0.71 (assume-push @p1731 @t406) % 0.51/0.71 (assume-push @p1732 @t372) % 0.51/0.71 (assume-push @p1733 @t256) % 0.51/0.71 (assume-push @p1734 @t310) % 0.51/0.71 (step @p1250 :rule and_intro :premises (@p1216 @p94 @p871 @p1730 @p1734 @p278)) % 0.51/0.71 (step-pop @p1735 :rule scope :premises (@p1250)) % 0.51/0.71 (step-pop @p1736 :rule scope :premises (@p1735)) % 0.51/0.71 (step-pop @p1737 :rule scope :premises (@p1736)) % 0.51/0.71 (step-pop @p1738 :rule scope :premises (@p1737)) % 0.51/0.71 (step-pop @p1739 :rule scope :premises (@p1738)) % 0.51/0.71 (step-pop @p1740 :rule scope :premises (@p1739)) % 0.51/0.71 (step @p1251 :rule process_scope :premises (@p1740) :args (@t409)) % 0.51/0.71 (step @p1258 :rule implies_elim :premises (@p1251)) % 0.51/0.71 (step @p1259 :rule resolution :premises (@p1258 @p1237) :args (true @t409)) % 0.51/0.71 (step @p1260 :rule not_and :premises (@p1259)) % 0.51/0.71 (step @p1261 :rule eq_resolve :premises (@p1260 @p1218)) % 0.51/0.71 (step @p1262 :rule reordering :premises (@p1261) :args ((or @t378 @t255 @t329 @t408 @t373 @t311))) % 0.51/0.71 (step @p1263 :rule chain_m_resolution :premises (@p1262 @p94 @p278 @p1159 @p1216 @p871) :args (@t311 (@list false true false false false) (@list @t377 @t255 @t267 @t406 @t372))) % 0.51/0.71 (assume-push @p1741 @t277) % 0.51/0.71 (assume-push @p1742 @t270) % 0.51/0.71 (assume-push @p1743 @t267) % 0.51/0.71 (assume-push @p1744 @t267) % 0.51/0.71 (assume-push @p1745 @t270) % 0.51/0.71 (assume-push @p1746 @t277) % 0.51/0.71 (step @p1270 :rule symm :premises (@p1742)) % 0.51/0.71 (step @p1271 :rule trans :premises (@p1270 @p1743)) % 0.51/0.71 (step @p359 :rule refl :args (tptp.mu_init)) % 0.51/0.71 (step @p1272 :rule cong :premises (@p359 @p1271) :args (@t156)) % 0.51/0.71 (step @p1273 :rule trans :premises (@p350 @p1272)) % 0.51/0.71 (step-pop @p1747 :rule scope :premises (@p1273)) % 0.51/0.71 (step-pop @p1748 :rule scope :premises (@p1747)) % 0.51/0.71 (step-pop @p1749 :rule scope :premises (@p1748)) % 0.51/0.71 (step @p1274 :rule process_scope :premises (@p1749) :args (@t247)) % 0.51/0.71 (step @p1278 :rule and_intro :premises (@p1743 @p1742 @p350)) % 0.51/0.71 (step @p1279 :rule modus_ponens :premises (@p1278 @p1274)) % 0.51/0.71 (step-pop @p1750 :rule scope :premises (@p1279)) % 0.51/0.71 (step-pop @p1751 :rule scope :premises (@p1750)) % 0.51/0.71 (step-pop @p1752 :rule scope :premises (@p1751)) % 0.51/0.71 (step @p1280 :rule process_scope :premises (@p1752) :args (@t247)) % 0.51/0.71 (step @p1284 :rule implies_elim :premises (@p1280)) % 0.51/0.71 (step @p1285 :rule cnf_and_neg :args (@t410)) % 0.51/0.71 (step @p1286 :rule resolution :premises (@p1285 @p1284) :args (true @t410)) % 0.51/0.71 (step @p1287 :rule reordering :premises (@p1286) :args ((or @t283 @t247 @t271 @t329))) % 0.51/0.71 (step @p1288 :rule chain_m_resolution :premises (@p1287 @p350 @p268 @p1159) :args (@t271 @t258 (@list @t277 @t247 @t267))) % 0.51/0.71 (step @p1289 :rule chain_m_resolution :premises (@p701 @p524 @p525 @p1288 @p869 @p1263 @p1212 @p551) :args (@t294 (@list false false true true true true false) (@list @t154 @t153 @t270 @t319 @t310 @t278 @t320))) % 0.51/0.71 (step @p1290 :rule refl :args (@t411)) % 0.51/0.71 (step @p1291 :rule nary_cong :premises (@p881 @p880 @p1290 @p585 @p1015 @p825 @p400) :args ((or @t378 @t376 @t411 @t329 @t388 @t362 @t295))) % 0.51/0.71 (assume-push @p1753 @t196) % 0.51/0.71 (assume-push @p1754 @t377) % 0.51/0.71 (assume-push @p1755 @t267) % 0.51/0.71 (assume-push @p1756 @t387) % 0.51/0.71 (assume-push @p1757 @t375) % 0.51/0.71 (assume-push @p1758 @t294) % 0.51/0.71 (assume-push @p1759 @t256) % 0.51/0.71 (step @p461 :rule evaluate :args (@t308)) % 0.51/0.71 (step @p1299 :rule true_intro :premises (@p106)) % 0.51/0.71 (step @p593 :rule refl :args (tptp.n0)) % 0.51/0.71 (step @p1300 :rule cong :premises (@p593 @p90) :args ((tptp.leq tptp.n0 @t191))) % 0.51/0.71 (step @p1028 :rule symm :premises (@p99)) % 0.51/0.71 (step @p1301 :rule symm :premises (@p1758)) % 0.51/0.71 (step @p1302 :rule trans :premises (@p1301 @p95)) % 0.51/0.71 (step @p1303 :rule cong :premises (@p1302) :args (@t119)) % 0.51/0.71 (step @p1304 :rule trans :premises (@p1303 @p1028)) % 0.51/0.71 (step @p1305 :rule symm :premises (@p1755)) % 0.51/0.71 (step @p1306 :rule cong :premises (@p1305 @p1304) :args (@t255)) % 0.51/0.71 (step @p839 :rule false_intro :premises (@p278)) % 0.51/0.71 (step @p840 :rule symm :premises (@p839)) % 0.51/0.71 (step @p1307 :rule trans :premises (@p840 @p1306 @p1300 @p1299)) % 0.51/0.71 (step @p1308 false :rule eq_resolve :premises (@p1307 @p461)) % 0.51/0.71 (step-pop @p1760 :rule scope :premises (@p1308)) % 0.51/0.71 (step-pop @p1761 :rule scope :premises (@p1760)) % 0.51/0.71 (step-pop @p1762 :rule scope :premises (@p1761)) % 0.51/0.71 (step-pop @p1763 :rule scope :premises (@p1762)) % 0.51/0.71 (step-pop @p1764 :rule scope :premises (@p1763)) % 0.51/0.71 (step-pop @p1765 :rule scope :premises (@p1764)) % 0.51/0.71 (step-pop @p1766 :rule scope :premises (@p1765)) % 0.51/0.71 (step @p1309 :rule process_scope :premises (@p1766) :args (false)) % 0.51/0.71 (assume-push @p1767 @t377) % 0.51/0.71 (assume-push @p1768 @t375) % 0.51/0.71 (assume-push @p1769 @t196) % 0.51/0.71 (assume-push @p1770 @t267) % 0.51/0.71 (assume-push @p1771 @t387) % 0.51/0.71 (assume-push @p1772 @t256) % 0.51/0.71 (assume-push @p1773 @t294) % 0.51/0.71 (step @p1324 :rule and_intro :premises (@p106 @p94 @p1770 @p99 @p95 @p1773 @p278)) % 0.51/0.71 (step-pop @p1774 :rule scope :premises (@p1324)) % 0.51/0.71 (step-pop @p1775 :rule scope :premises (@p1774)) % 0.51/0.71 (step-pop @p1776 :rule scope :premises (@p1775)) % 0.51/0.71 (step-pop @p1777 :rule scope :premises (@p1776)) % 0.51/0.71 (step-pop @p1778 :rule scope :premises (@p1777)) % 0.51/0.71 (step-pop @p1779 :rule scope :premises (@p1778)) % 0.51/0.71 (step-pop @p1780 :rule scope :premises (@p1779)) % 0.51/0.71 (step @p1325 :rule process_scope :premises (@p1780) :args (@t412)) % 0.51/0.71 (step @p1333 :rule implies_elim :premises (@p1325)) % 0.51/0.71 (step @p1334 :rule resolution :premises (@p1333 @p1309) :args (true @t412)) % 0.51/0.71 (step @p1335 :rule not_and :premises (@p1334)) % 0.51/0.71 (step @p1336 :rule eq_resolve :premises (@p1335 @p1291)) % 0.51/0.71 (step @p1337 :rule reordering :premises (@p1336) :args ((or @t378 @t376 @t255 @t411 @t329 @t388 @t295))) % 0.51/0.71 (step @p1338 false :rule chain_m_resolution :premises (@p1337 @p1289 @p1159 @p278 @p106 @p99 @p95 @p94) :args (false (@list false false true false false false false) (@list @t294 @t267 @t255 @t196 @t387 @t375 @t377))) % 0.51/0.71 ) % 0.51/0.71 % SZS output end Proof % 0.51/0.71 % cvc5 exiting %------------------------------------------------------------------------------