%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV098+1 : TPTP v9.2.1. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 09:00:31 AM UTC 2026 % Result : Theorem 0.37s 0.71s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWV098+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n015.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:54:49 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.71 % SZS status Theorem % 0.37/0.71 % SZS output start Proof % 0.37/0.71 ( % 0.37/0.71 (declare-sort $$unsorted 0) % 0.37/0.71 (declare-const tptp.n999 $$unsorted) % 0.37/0.71 (declare-const tptp.rho_defuse $$unsorted) % 0.37/0.71 (declare-const tptp.xinit_defuse $$unsorted) % 0.37/0.71 (declare-const tptp.xinit_mean_defuse $$unsorted) % 0.37/0.71 (declare-const tptp.z_defuse $$unsorted) % 0.37/0.71 (declare-const tptp.def $$unsorted) % 0.37/0.71 (declare-const tptp.use $$unsorted) % 0.37/0.71 (declare-const tptp.true Bool) % 0.37/0.71 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.pv5 $$unsorted) % 0.37/0.71 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.u_defuse $$unsorted) % 0.37/0.71 (declare-const tptp.n3 $$unsorted) % 0.37/0.71 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.37/0.71 (declare-const tptp.n0 $$unsorted) % 0.37/0.71 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.n1 $$unsorted) % 0.37/0.71 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.n5 $$unsorted) % 0.37/0.71 (declare-const tptp.sigma_defuse $$unsorted) % 0.37/0.71 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.xinit_noise_defuse $$unsorted) % 0.37/0.71 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.71 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.71 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.37/0.71 (declare-const tptp.n4 $$unsorted) % 0.37/0.71 (declare-const tptp.n2 $$unsorted) % 0.37/0.71 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.71 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.71 (define @t3 () (= @t2 @t1)) % 0.37/0.71 (define @t4 () (tptp.gt @t1 @t2)) % 0.37/0.71 (define @t5 () (tptp.gt @t2 @t1)) % 0.37/0.71 (define @t6 () (@list @t2 @t1)) % 0.37/0.71 (define @t7 () (@var "Z" $$unsorted)) % 0.37/0.71 (define @t8 () (@list @t2 @t1 @t7)) % 0.37/0.71 (define @t9 () (@list @t2)) % 0.37/0.71 (define @t10 () (tptp.leq @t2 @t1)) % 0.37/0.71 (define @t11 () (tptp.succ @t2)) % 0.37/0.71 (define @t12 () (tptp.succ @t1)) % 0.37/0.71 (define @t13 () (@var "C" $$unsorted)) % 0.37/0.71 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.37/0.71 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.37/0.71 (define @t16 () (@list @t2 @t13)) % 0.37/0.71 (define @t17 () (@var "Val" $$unsorted)) % 0.37/0.71 (define @t18 () (@var "I" $$unsorted)) % 0.37/0.71 (define @t19 () (@var "U" $$unsorted)) % 0.37/0.71 (define @t20 () (@var "L" $$unsorted)) % 0.37/0.71 (define @t21 () (tptp.leq @t18 @t19)) % 0.37/0.71 (define @t22 () (@var "J" $$unsorted)) % 0.37/0.71 (define @t23 () (@var "U2" $$unsorted)) % 0.37/0.71 (define @t24 () (@var "L2" $$unsorted)) % 0.37/0.71 (define @t25 () (@var "U1" $$unsorted)) % 0.37/0.71 (define @t26 () (@var "L1" $$unsorted)) % 0.37/0.71 (define @t27 () (@var "A" $$unsorted)) % 0.37/0.71 (define @t28 () (tptp.trans @t27)) % 0.37/0.71 (define @t29 () (@var "N" $$unsorted)) % 0.37/0.71 (define @t30 () (tptp.leq @t22 @t29)) % 0.37/0.71 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.37/0.71 (define @t32 () (tptp.leq @t18 @t29)) % 0.37/0.71 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.37/0.71 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.37/0.71 (define @t35 () (@list @t18 @t22)) % 0.37/0.71 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.37/0.71 (define @t37 () (@list @t27 @t29)) % 0.37/0.71 (define @t38 () (tptp.inv @t27)) % 0.37/0.71 (define @t39 () (@var "VAL" $$unsorted)) % 0.37/0.71 (define @t40 () (@var "K" $$unsorted)) % 0.37/0.71 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.37/0.71 (define @t42 () (@var "B" $$unsorted)) % 0.37/0.71 (define @t43 () (tptp.tptp_madd @t27 @t42)) % 0.37/0.71 (define @t44 () (= (tptp.a_select3 @t42 @t18 @t22) (tptp.a_select3 @t42 @t22 @t18))) % 0.37/0.71 (define @t45 () (forall @t35 (=> @t34 @t44))) % 0.37/0.71 (define @t46 () (and @t36 @t45)) % 0.37/0.71 (define @t47 () (@list @t27 @t42 @t29)) % 0.37/0.71 (define @t48 () (tptp.tptp_msub @t27 @t42)) % 0.37/0.71 (define @t49 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t42 @t28))) % 0.37/0.71 (define @t50 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))) % 0.37/0.71 (define @t51 () (@var "M" $$unsorted)) % 0.37/0.71 (define @t52 () (and @t33 (tptp.leq @t18 @t51) @t31 (tptp.leq @t22 @t51))) % 0.37/0.71 (define @t53 () (@var "E" $$unsorted)) % 0.37/0.71 (define @t54 () (@var "F" $$unsorted)) % 0.37/0.71 (define @t55 () (@var "D" $$unsorted)) % 0.37/0.71 (define @t56 () (tptp.tptp_madd @t27 (tptp.tptp_mmul @t42 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t13 (tptp.tptp_mmul @t55 (tptp.trans @t13))) (tptp.tptp_mmul @t53 (tptp.tptp_mmul @t54 (tptp.trans @t53)))) (tptp.trans @t42))))) % 0.37/0.71 (define @t57 () (@var "Body" $$unsorted)) % 0.37/0.71 (define @t58 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t57)) % 0.37/0.71 (define @t59 () (@list @t57)) % 0.37/0.71 (define @t60 () (tptp.plus tptp.n1 @t2)) % 0.37/0.71 (define @t61 () (forall @t9 (= @t60 @t11))) % 0.37/0.71 (define @t62 () (tptp.succ @t11)) % 0.37/0.71 (define @t63 () (tptp.succ @t62)) % 0.37/0.71 (define @t64 () (tptp.succ @t63)) % 0.37/0.71 (define @t65 () (tptp.succ @t64)) % 0.37/0.71 (define @t66 () (tptp.pred @t2)) % 0.37/0.71 (define @t67 () (tptp.pred @t11)) % 0.37/0.71 (define @t68 () (forall @t9 (= @t67 @t2))) % 0.37/0.71 (define @t69 () (@var "V" $$unsorted)) % 0.37/0.71 (define @t70 () (tptp.tptp_update3 @t2 @t19 @t69 @t39)) % 0.37/0.71 (define @t71 () (@var "VAL2" $$unsorted)) % 0.37/0.71 (define @t72 () (not (= @t18 @t19))) % 0.37/0.71 (define @t73 () (@var "J0" $$unsorted)) % 0.37/0.71 (define @t74 () (@var "I0" $$unsorted)) % 0.37/0.71 (define @t75 () (tptp.leq @t74 @t19)) % 0.37/0.71 (define @t76 () (tptp.leq tptp.n0 @t74)) % 0.37/0.71 (define @t77 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.37/0.71 (define @t78 () (tptp.a_select3 tptp.z_defuse @t53 @t54)) % 0.37/0.71 (define @t79 () (tptp.a_select3 tptp.u_defuse @t53 @t54)) % 0.37/0.71 (define @t80 () (and (= @t79 tptp.use) (= @t78 tptp.use))) % 0.37/0.71 (define @t81 () (tptp.plus tptp.n1 tptp.pv5)) % 0.37/0.71 (define @t82 () (tptp.minus @t81 tptp.n1)) % 0.37/0.71 (define @t83 () (tptp.leq @t54 @t82)) % 0.37/0.71 (define @t84 () (tptp.leq @t53 tptp.n2)) % 0.37/0.71 (define @t85 () (tptp.leq tptp.n0 @t54)) % 0.37/0.71 (define @t86 () (tptp.leq tptp.n0 @t53)) % 0.37/0.71 (define @t87 () (and @t86 @t85 @t84 @t83)) % 0.37/0.71 (define @t88 () (=> @t87 @t80)) % 0.37/0.71 (define @t89 () (@list @t53 @t54)) % 0.37/0.71 (define @t90 () (forall @t89 @t88)) % 0.37/0.71 (define @t91 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n5)) % 0.37/0.71 (define @t92 () (= @t91 tptp.use)) % 0.37/0.71 (define @t93 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n4)) % 0.37/0.71 (define @t94 () (= @t93 tptp.use)) % 0.37/0.71 (define @t95 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n3)) % 0.37/0.71 (define @t96 () (= @t95 tptp.use)) % 0.37/0.71 (define @t97 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n2)) % 0.37/0.71 (define @t98 () (= @t97 tptp.use)) % 0.37/0.71 (define @t99 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n1)) % 0.37/0.71 (define @t100 () (= @t99 tptp.use)) % 0.37/0.71 (define @t101 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n0)) % 0.37/0.71 (define @t102 () (= @t101 tptp.use)) % 0.37/0.71 (define @t103 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n5)) % 0.37/0.71 (define @t104 () (= @t103 tptp.use)) % 0.37/0.71 (define @t105 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n4)) % 0.37/0.71 (define @t106 () (= @t105 tptp.use)) % 0.37/0.71 (define @t107 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n3)) % 0.37/0.71 (define @t108 () (= @t107 tptp.use)) % 0.37/0.71 (define @t109 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n2)) % 0.37/0.71 (define @t110 () (= @t109 tptp.use)) % 0.37/0.71 (define @t111 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n1)) % 0.37/0.71 (define @t112 () (= @t111 tptp.use)) % 0.37/0.71 (define @t113 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n0)) % 0.37/0.71 (define @t114 () (= @t113 tptp.use)) % 0.37/0.71 (define @t115 () (tptp.a_select2 tptp.xinit_defuse tptp.n5)) % 0.37/0.71 (define @t116 () (= @t115 tptp.use)) % 0.37/0.71 (define @t117 () (tptp.a_select2 tptp.xinit_defuse tptp.n4)) % 0.37/0.71 (define @t118 () (= @t117 tptp.use)) % 0.37/0.71 (define @t119 () (tptp.a_select2 tptp.xinit_defuse tptp.n3)) % 0.37/0.71 (define @t120 () (= @t119 tptp.use)) % 0.37/0.71 (define @t121 () (tptp.a_select3 tptp.u_defuse tptp.n2 tptp.n0)) % 0.37/0.71 (define @t122 () (= @t121 tptp.use)) % 0.37/0.71 (define @t123 () (tptp.a_select3 tptp.u_defuse tptp.n1 tptp.n0)) % 0.37/0.71 (define @t124 () (= @t123 tptp.use)) % 0.37/0.71 (define @t125 () (tptp.a_select3 tptp.u_defuse tptp.n0 tptp.n0)) % 0.37/0.71 (define @t126 () (= @t125 tptp.use)) % 0.37/0.71 (define @t127 () (tptp.a_select2 tptp.sigma_defuse tptp.n5)) % 0.37/0.71 (define @t128 () (= @t127 tptp.use)) % 0.37/0.71 (define @t129 () (tptp.a_select2 tptp.sigma_defuse tptp.n4)) % 0.37/0.71 (define @t130 () (= @t129 tptp.use)) % 0.37/0.71 (define @t131 () (tptp.a_select2 tptp.sigma_defuse tptp.n3)) % 0.37/0.71 (define @t132 () (= @t131 tptp.use)) % 0.37/0.71 (define @t133 () (tptp.a_select2 tptp.sigma_defuse tptp.n2)) % 0.37/0.71 (define @t134 () (= @t133 tptp.use)) % 0.37/0.71 (define @t135 () (tptp.a_select2 tptp.sigma_defuse tptp.n1)) % 0.37/0.71 (define @t136 () (= @t135 tptp.use)) % 0.37/0.71 (define @t137 () (tptp.a_select2 tptp.sigma_defuse tptp.n0)) % 0.37/0.71 (define @t138 () (= @t137 tptp.use)) % 0.37/0.71 (define @t139 () (tptp.a_select2 tptp.rho_defuse tptp.n2)) % 0.37/0.71 (define @t140 () (= @t139 tptp.use)) % 0.37/0.71 (define @t141 () (tptp.a_select2 tptp.rho_defuse tptp.n1)) % 0.37/0.71 (define @t142 () (= @t141 tptp.use)) % 0.37/0.71 (define @t143 () (tptp.a_select2 tptp.rho_defuse tptp.n0)) % 0.37/0.71 (define @t144 () (= @t143 tptp.use)) % 0.37/0.71 (define @t145 () (and @t144 @t142 @t140 @t138 @t136 @t134 @t132 @t130 @t128 @t126 @t124 @t122 @t120 @t118 @t116 @t114 @t112 @t110 @t108 @t106 @t104 @t102 @t100 @t98 @t96 @t94 @t92 @t90)) % 0.37/0.71 (define @t146 () (tptp.a_select3 tptp.z_defuse @t13 @t55)) % 0.37/0.71 (define @t147 () (tptp.a_select3 tptp.u_defuse @t13 @t55)) % 0.37/0.71 (define @t148 () (and (= @t147 tptp.use) (= @t146 tptp.use))) % 0.37/0.71 (define @t149 () (tptp.leq @t55 (tptp.minus tptp.pv5 tptp.n1))) % 0.37/0.71 (define @t150 () (tptp.leq @t13 tptp.n2)) % 0.37/0.71 (define @t151 () (tptp.leq tptp.n0 @t55)) % 0.37/0.71 (define @t152 () (tptp.leq tptp.n0 @t13)) % 0.37/0.71 (define @t153 () (and @t152 @t151 @t150 @t149)) % 0.37/0.71 (define @t154 () (=> @t153 @t148)) % 0.37/0.71 (define @t155 () (@list @t13 @t55)) % 0.37/0.71 (define @t156 () (forall @t155 @t154)) % 0.37/0.71 (define @t157 () (tptp.a_select3 tptp.z_defuse @t27 @t42)) % 0.37/0.71 (define @t158 () (tptp.a_select3 tptp.u_defuse @t27 @t42)) % 0.37/0.71 (define @t159 () (and (= @t158 tptp.use) (= @t157 tptp.use))) % 0.37/0.71 (define @t160 () (tptp.leq @t42 tptp.pv5)) % 0.37/0.71 (define @t161 () (tptp.leq @t27 tptp.n2)) % 0.37/0.71 (define @t162 () (tptp.leq tptp.n0 @t42)) % 0.37/0.71 (define @t163 () (tptp.leq tptp.n0 @t27)) % 0.37/0.71 (define @t164 () (and @t163 @t162 @t161 @t160)) % 0.37/0.71 (define @t165 () (=> @t164 @t159)) % 0.37/0.71 (define @t166 () (@list @t27 @t42)) % 0.37/0.71 (define @t167 () (forall @t166 @t165)) % 0.37/0.71 (define @t168 () (tptp.leq tptp.pv5 (tptp.minus tptp.n999 tptp.n1))) % 0.37/0.71 (define @t169 () (tptp.leq tptp.n0 tptp.pv5)) % 0.37/0.71 (define @t170 () (and @t144 @t142 @t140 @t138 @t136 @t134 @t132 @t130 @t128 @t126 @t124 @t122 @t120 @t118 @t116 @t114 @t112 @t110 @t108 @t106 @t104 @t102 @t100 @t98 @t96 @t94 @t92 @t169 @t168 @t167 @t156)) % 0.37/0.71 (define @t171 () (=> @t170 @t145)) % 0.37/0.71 (define @t172 () (not @t171)) % 0.37/0.71 (define @t173 () (= @t2 tptp.n4)) % 0.37/0.71 (define @t174 () (= @t2 tptp.n3)) % 0.37/0.71 (define @t175 () (= @t2 tptp.n2)) % 0.37/0.71 (define @t176 () (= @t2 tptp.n1)) % 0.37/0.71 (define @t177 () (= @t2 tptp.n0)) % 0.37/0.71 (define @t178 () (tptp.succ tptp.n0)) % 0.37/0.71 (define @t179 () (tptp.succ @t178)) % 0.37/0.71 (define @t180 () (tptp.succ @t179)) % 0.37/0.71 (define @t181 () (tptp.succ @t180)) % 0.37/0.71 (define @t182 () (and (= tptp.use @t79) (= tptp.use @t78))) % 0.37/0.71 (define @t183 () (not @t83)) % 0.37/0.71 (define @t184 () (not @t84)) % 0.37/0.71 (define @t185 () (not @t85)) % 0.37/0.71 (define @t186 () (not @t86)) % 0.37/0.71 (define @t187 () (or @t186 @t185 @t184 @t183 @t182)) % 0.37/0.71 (define @t188 () (or @t186 @t185 @t184 @t183)) % 0.37/0.71 (define @t189 () (and (= tptp.use @t147) (= tptp.use @t146))) % 0.37/0.71 (define @t190 () (not @t149)) % 0.37/0.71 (define @t191 () (not @t150)) % 0.37/0.71 (define @t192 () (not @t151)) % 0.37/0.71 (define @t193 () (not @t152)) % 0.37/0.71 (define @t194 () (or @t193 @t192 @t191 @t190)) % 0.37/0.71 (define @t195 () (and (= tptp.use @t158) (= tptp.use @t157))) % 0.37/0.71 (define @t196 () (not @t160)) % 0.37/0.71 (define @t197 () (not @t161)) % 0.37/0.71 (define @t198 () (not @t162)) % 0.37/0.71 (define @t199 () (not @t163)) % 0.37/0.71 (define @t200 () (or @t199 @t198 @t197 @t196)) % 0.37/0.71 (define @t201 () (forall @t89 @t187)) % 0.37/0.71 (define @t202 () (@quantifiers_skolemize @t201 1)) % 0.37/0.71 (define @t203 () (tptp.leq @t202 @t82)) % 0.37/0.71 (define @t204 () (@quantifiers_skolemize @t201 0)) % 0.37/0.71 (define @t205 () (and (= tptp.use (tptp.a_select3 tptp.u_defuse @t204 @t202)) (= tptp.use (tptp.a_select3 tptp.z_defuse @t204 @t202)))) % 0.37/0.71 (define @t206 () (not @t203)) % 0.37/0.71 (define @t207 () (tptp.leq @t204 tptp.n2)) % 0.37/0.71 (define @t208 () (not @t207)) % 0.37/0.71 (define @t209 () (tptp.leq tptp.n0 @t202)) % 0.37/0.71 (define @t210 () (not @t209)) % 0.37/0.71 (define @t211 () (tptp.leq tptp.n0 @t204)) % 0.37/0.71 (define @t212 () (not @t211)) % 0.37/0.71 (define @t213 () (or @t212 @t210 @t208 @t206 @t205)) % 0.37/0.71 (define @t214 () (@list true)) % 0.37/0.71 (define @t215 () (@list @t213)) % 0.37/0.71 (define @t216 () (@list tptp.pv5)) % 0.37/0.71 (define @t217 () (tptp.leq @t202 tptp.pv5)) % 0.37/0.71 (define @t218 () (not @t217)) % 0.37/0.71 (define @t219 () (or @t212 @t210 @t208 @t218 @t205)) % 0.37/0.71 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.37/0.71 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.37/0.71 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.37/0.71 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.37/0.71 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.37/0.71 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.37/0.71 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.37/0.71 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.37/0.71 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.37/0.71 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.37/0.71 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.37/0.71 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.37/0.71 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.37/0.71 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.37/0.71 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.37/0.71 (assume @p16 (forall (@list @t18 @t20 @t19 @t17) (=> (and (tptp.leq @t20 @t18) @t21) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t20 @t19) @t17) @t18) @t17)))) % 0.37/0.71 (assume @p17 (forall (@list @t18 @t26 @t25 @t22 @t24 @t23 @t17) (=> (and (tptp.leq @t26 @t18) (tptp.leq @t18 @t25) (tptp.leq @t24 @t22) (tptp.leq @t22 @t23)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t26 @t25) (tptp.dim @t24 @t23) @t17) @t18 @t22) @t17)))) % 0.37/0.71 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.37/0.71 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.37/0.71 (assume @p20 (forall @t37 (=> @t36 (forall (@list @t18 @t22 @t40 @t39) (=> (and @t33 @t32 @t31 @t30 (tptp.leq tptp.n0 @t40) (tptp.leq @t40 @t29)) (= (tptp.a_select3 @t41 @t18 @t22) (tptp.a_select3 @t41 @t22 @t18))))))) % 0.37/0.71 (assume @p21 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))))))) % 0.37/0.71 (assume @p22 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t48 @t18 @t22) (tptp.a_select3 @t48 @t22 @t18))))))) % 0.37/0.71 (assume @p23 (forall @t47 (=> @t45 @t50))) % 0.37/0.71 (assume @p24 (forall (@list @t27 @t42 @t29 @t51) (=> (forall @t35 (=> @t52 @t44)) @t50))) % 0.37/0.71 (assume @p25 (forall (@list @t27 @t42 @t13 @t55 @t53 @t54 @t29 @t51) (=> (and (forall @t35 (=> @t52 (= (tptp.a_select3 @t55 @t18 @t22) (tptp.a_select3 @t55 @t22 @t18)))) @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t54 @t18 @t22) (tptp.a_select3 @t54 @t22 @t18))))) (forall @t35 (=> @t34 (= (tptp.a_select3 @t56 @t18 @t22) (tptp.a_select3 @t56 @t22 @t18))))))) % 0.37/0.71 (assume @p26 (forall @t59 (= @t58 tptp.n0))) % 0.37/0.71 (assume @p27 (forall @t59 (= tptp.tptp_float_0_0 @t58))) % 0.37/0.71 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.37/0.71 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.37/0.71 (assume @p30 @t61) % 0.37/0.71 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t62))) % 0.37/0.71 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t62))) % 0.37/0.71 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t63))) % 0.37/0.71 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t63))) % 0.37/0.71 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t64))) % 0.37/0.71 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t64))) % 0.37/0.71 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t65))) % 0.37/0.71 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t65))) % 0.37/0.71 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t66))) % 0.37/0.71 (assume @p40 @t68) % 0.37/0.71 (assume @p41 (forall @t9 (= (tptp.succ @t66) @t2))) % 0.37/0.71 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.37/0.71 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.37/0.71 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.37/0.71 (assume @p45 (forall (@list @t2 @t19 @t69 @t39) (= (tptp.a_select3 @t70 @t19 @t69) @t39))) % 0.37/0.71 (assume @p46 (forall (@list @t18 @t22 @t19 @t69 @t2 @t39 @t71) (=> (and @t72 (= @t22 @t69) (= (tptp.a_select3 @t2 @t19 @t69) @t39)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t18 @t22 @t71) @t19 @t69) @t39)))) % 0.37/0.71 (assume @p47 (forall (@list @t18 @t22 @t19 @t69 @t2 @t39) (=> (and (forall (@list @t74 @t73) (=> (and @t76 (tptp.leq tptp.n0 @t73) @t75 (tptp.leq @t73 @t69)) (= (tptp.a_select3 @t2 @t74 @t73) @t39))) @t33 @t21 @t31 (tptp.leq @t22 @t69)) (= (tptp.a_select3 @t70 @t18 @t22) @t39)))) % 0.37/0.71 (assume @p48 (forall (@list @t2 @t19 @t39) (= (tptp.a_select2 @t77 @t19) @t39))) % 0.37/0.71 (assume @p49 (forall (@list @t18 @t19 @t2 @t39 @t71) (=> (and @t72 (= (tptp.a_select2 @t2 @t19) @t39)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t18 @t71) @t19) @t39)))) % 0.37/0.71 (assume @p50 (forall (@list @t18 @t19 @t2 @t39) (=> (and (forall (@list @t74) (=> (and @t76 @t75) (= (tptp.a_select2 @t2 @t74) @t39))) @t33 @t21) (= (tptp.a_select2 @t77 @t18) @t39)))) % 0.37/0.71 (assume @p51 tptp.true) % 0.37/0.71 (assume @p52 (not (= tptp.def tptp.use))) % 0.37/0.71 (assume @p53 @t172) % 0.37/0.71 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.37/0.71 (assume @p55 (tptp.gt tptp.n999 tptp.n4)) % 0.37/0.71 (assume @p56 (tptp.gt tptp.n999 tptp.n5)) % 0.37/0.71 (assume @p57 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.37/0.71 (assume @p58 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.37/0.71 (assume @p59 (tptp.gt tptp.n999 tptp.tptp_minus_1)) % 0.37/0.71 (assume @p60 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.37/0.71 (assume @p61 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.37/0.71 (assume @p62 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.37/0.71 (assume @p63 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.37/0.71 (assume @p64 (tptp.gt tptp.n4 tptp.n0)) % 0.37/0.71 (assume @p65 (tptp.gt tptp.n5 tptp.n0)) % 0.37/0.71 (assume @p66 (tptp.gt tptp.n999 tptp.n0)) % 0.37/0.71 (assume @p67 (tptp.gt tptp.n1 tptp.n0)) % 0.37/0.71 (assume @p68 (tptp.gt tptp.n2 tptp.n0)) % 0.37/0.71 (assume @p69 (tptp.gt tptp.n3 tptp.n0)) % 0.37/0.71 (assume @p70 (tptp.gt tptp.n4 tptp.n1)) % 0.37/0.71 (assume @p71 (tptp.gt tptp.n5 tptp.n1)) % 0.37/0.71 (assume @p72 (tptp.gt tptp.n999 tptp.n1)) % 0.37/0.71 (assume @p73 (tptp.gt tptp.n2 tptp.n1)) % 0.37/0.71 (assume @p74 (tptp.gt tptp.n3 tptp.n1)) % 0.37/0.71 (assume @p75 (tptp.gt tptp.n4 tptp.n2)) % 0.37/0.71 (assume @p76 (tptp.gt tptp.n5 tptp.n2)) % 0.37/0.71 (assume @p77 (tptp.gt tptp.n999 tptp.n2)) % 0.37/0.71 (assume @p78 (tptp.gt tptp.n3 tptp.n2)) % 0.37/0.71 (assume @p79 (tptp.gt tptp.n4 tptp.n3)) % 0.37/0.71 (assume @p80 (tptp.gt tptp.n5 tptp.n3)) % 0.37/0.71 (assume @p81 (tptp.gt tptp.n999 tptp.n3)) % 0.37/0.71 (assume @p82 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t177 @t176 @t175 @t174 @t173)))) % 0.37/0.71 (assume @p83 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t177 @t176 @t175 @t174 @t173 (= @t2 tptp.n5))))) % 0.37/0.71 (assume @p84 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t177))) % 0.37/0.71 (assume @p85 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t177 @t176)))) % 0.37/0.71 (assume @p86 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t177 @t176 @t175)))) % 0.37/0.71 (assume @p87 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t177 @t176 @t175 @t174)))) % 0.37/0.71 (assume @p88 (= @t181 tptp.n4)) % 0.37/0.71 (assume @p89 (= (tptp.succ @t181) tptp.n5)) % 0.37/0.71 (assume @p90 (= @t178 tptp.n1)) % 0.37/0.71 (assume @p91 (= @t179 tptp.n2)) % 0.37/0.71 (assume @p92 (= @t180 tptp.n3)) % 0.37/0.71 (assume @p93 true) % 0.37/0.71 (step @p94 :rule evaluate :args ((= false true))) % 0.37/0.71 (step @p95 :rule aci_norm :args ((= (or @t188 @t182) @t187))) % 0.37/0.71 (step @p96 :rule refl :args (@t182)) % 0.37/0.71 (step @p97 :rule aci_norm :args ((= (or @t186 (or @t185 (or @t184 @t183))) @t188))) % 0.37/0.71 (step @p98 :rule bool-and-de-morgan :args (@t84 @t83 true)) % 0.37/0.71 (step @p99 :rule refl :args (@t185)) % 0.37/0.71 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t185 (not (and @t84 @t83))))) % 0.37/0.71 (step @p101 :rule bool-and-de-morgan :args (@t85 @t84 (and @t83))) % 0.37/0.71 (step @p102 :rule trans :premises (@p101 @p100)) % 0.37/0.71 (step @p103 :rule refl :args (@t186)) % 0.37/0.71 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t186 (not (and @t85 @t84 @t83))))) % 0.37/0.71 (step @p105 :rule bool-and-de-morgan :args (@t86 @t85 (and @t84 @t83))) % 0.37/0.71 (step @p106 :rule trans :premises (@p105 @p104)) % 0.37/0.71 (step @p107 :rule trans :premises (@p106 @p97)) % 0.37/0.71 (step @p108 :rule nary_cong :premises (@p107 @p96) :args ((or (not @t87) @t182))) % 0.37/0.71 (step @p109 :rule trans :premises (@p108 @p95)) % 0.37/0.71 (step @p110 :rule bool-impl-elim :args (@t87 @t182)) % 0.37/0.71 (step @p111 :rule trans :premises (@p110 @p109)) % 0.37/0.71 (step @p112 :rule cong :premises (@p111) :args ((forall @t89 (=> @t87 @t182)))) % 0.37/0.71 (step @p113 :rule eq-symm :args (@t78 tptp.use)) % 0.37/0.71 (step @p114 :rule eq-symm :args (@t79 tptp.use)) % 0.37/0.71 (step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t80)) % 0.37/0.71 (step @p116 :rule refl :args (@t87)) % 0.37/0.71 (step @p117 :rule cong :premises (@p116 @p115) :args (@t88)) % 0.37/0.71 (step @p118 :rule cong :premises (@p117) :args (@t90)) % 0.37/0.71 (step @p119 :rule trans :premises (@p118 @p112)) % 0.37/0.71 (step @p120 :rule eq-symm :args (@t91 tptp.use)) % 0.37/0.71 (step @p121 :rule eq-symm :args (@t93 tptp.use)) % 0.37/0.71 (step @p122 :rule eq-symm :args (@t95 tptp.use)) % 0.37/0.71 (step @p123 :rule eq-symm :args (@t97 tptp.use)) % 0.37/0.71 (step @p124 :rule eq-symm :args (@t99 tptp.use)) % 0.37/0.71 (step @p125 :rule eq-symm :args (@t101 tptp.use)) % 0.37/0.71 (step @p126 :rule eq-symm :args (@t103 tptp.use)) % 0.37/0.71 (step @p127 :rule eq-symm :args (@t105 tptp.use)) % 0.37/0.71 (step @p128 :rule eq-symm :args (@t107 tptp.use)) % 0.37/0.71 (step @p129 :rule eq-symm :args (@t109 tptp.use)) % 0.37/0.71 (step @p130 :rule eq-symm :args (@t111 tptp.use)) % 0.37/0.71 (step @p131 :rule eq-symm :args (@t113 tptp.use)) % 0.37/0.71 (step @p132 :rule eq-symm :args (@t115 tptp.use)) % 0.37/0.71 (step @p133 :rule eq-symm :args (@t117 tptp.use)) % 0.37/0.71 (step @p134 :rule eq-symm :args (@t119 tptp.use)) % 0.37/0.71 (step @p135 :rule eq-symm :args (@t121 tptp.use)) % 0.37/0.71 (step @p136 :rule eq-symm :args (@t123 tptp.use)) % 0.37/0.71 (step @p137 :rule eq-symm :args (@t125 tptp.use)) % 0.37/0.71 (step @p138 :rule eq-symm :args (@t127 tptp.use)) % 0.37/0.71 (step @p139 :rule eq-symm :args (@t129 tptp.use)) % 0.37/0.71 (step @p140 :rule eq-symm :args (@t131 tptp.use)) % 0.37/0.71 (step @p141 :rule eq-symm :args (@t133 tptp.use)) % 0.37/0.71 (step @p142 :rule eq-symm :args (@t135 tptp.use)) % 0.37/0.71 (step @p143 :rule eq-symm :args (@t137 tptp.use)) % 0.37/0.71 (step @p144 :rule eq-symm :args (@t139 tptp.use)) % 0.37/0.71 (step @p145 :rule eq-symm :args (@t141 tptp.use)) % 0.37/0.71 (step @p146 :rule eq-symm :args (@t143 tptp.use)) % 0.37/0.71 (step @p147 :rule nary_cong :premises (@p146 @p145 @p144 @p143 @p142 @p141 @p140 @p139 @p138 @p137 @p136 @p135 @p134 @p133 @p132 @p131 @p130 @p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120 @p119) :args (@t145)) % 0.37/0.71 (step @p148 :rule aci_norm :args ((= (or @t194 @t189) (or @t193 @t192 @t191 @t190 @t189)))) % 0.37/0.71 (step @p149 :rule refl :args (@t189)) % 0.37/0.71 (step @p150 :rule aci_norm :args ((= (or @t193 (or @t192 (or @t191 @t190))) @t194))) % 0.37/0.71 (step @p151 :rule bool-and-de-morgan :args (@t150 @t149 true)) % 0.37/0.71 (step @p152 :rule refl :args (@t192)) % 0.37/0.71 (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((or @t192 (not (and @t150 @t149))))) % 0.37/0.71 (step @p154 :rule bool-and-de-morgan :args (@t151 @t150 (and @t149))) % 0.37/0.71 (step @p155 :rule trans :premises (@p154 @p153)) % 0.37/0.71 (step @p156 :rule refl :args (@t193)) % 0.37/0.71 (step @p157 :rule nary_cong :premises (@p156 @p155) :args ((or @t193 (not (and @t151 @t150 @t149))))) % 0.37/0.71 (step @p158 :rule bool-and-de-morgan :args (@t152 @t151 (and @t150 @t149))) % 0.37/0.71 (step @p159 :rule trans :premises (@p158 @p157)) % 0.37/0.71 (step @p160 :rule trans :premises (@p159 @p150)) % 0.37/0.71 (step @p161 :rule nary_cong :premises (@p160 @p149) :args ((or (not @t153) @t189))) % 0.37/0.71 (step @p162 :rule trans :premises (@p161 @p148)) % 0.37/0.71 (step @p163 :rule bool-impl-elim :args (@t153 @t189)) % 0.37/0.71 (step @p164 :rule trans :premises (@p163 @p162)) % 0.37/0.71 (step @p165 :rule cong :premises (@p164) :args ((forall @t155 (=> @t153 @t189)))) % 0.37/0.71 (step @p166 :rule eq-symm :args (@t146 tptp.use)) % 0.37/0.71 (step @p167 :rule eq-symm :args (@t147 tptp.use)) % 0.37/0.71 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t148)) % 0.37/0.71 (step @p169 :rule refl :args (@t153)) % 0.37/0.71 (step @p170 :rule cong :premises (@p169 @p168) :args (@t154)) % 0.37/0.71 (step @p171 :rule cong :premises (@p170) :args (@t156)) % 0.37/0.71 (step @p172 :rule trans :premises (@p171 @p165)) % 0.37/0.71 (step @p173 :rule aci_norm :args ((= (or @t200 @t195) (or @t199 @t198 @t197 @t196 @t195)))) % 0.37/0.71 (step @p174 :rule refl :args (@t195)) % 0.37/0.71 (step @p175 :rule aci_norm :args ((= (or @t199 (or @t198 (or @t197 @t196))) @t200))) % 0.37/0.71 (step @p176 :rule bool-and-de-morgan :args (@t161 @t160 true)) % 0.37/0.71 (step @p177 :rule refl :args (@t198)) % 0.37/0.71 (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((or @t198 (not (and @t161 @t160))))) % 0.37/0.71 (step @p179 :rule bool-and-de-morgan :args (@t162 @t161 (and @t160))) % 0.37/0.71 (step @p180 :rule trans :premises (@p179 @p178)) % 0.37/0.71 (step @p181 :rule refl :args (@t199)) % 0.37/0.71 (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((or @t199 (not (and @t162 @t161 @t160))))) % 0.37/0.71 (step @p183 :rule bool-and-de-morgan :args (@t163 @t162 (and @t161 @t160))) % 0.37/0.71 (step @p184 :rule trans :premises (@p183 @p182)) % 0.37/0.71 (step @p185 :rule trans :premises (@p184 @p175)) % 0.37/0.71 (step @p186 :rule nary_cong :premises (@p185 @p174) :args ((or (not @t164) @t195))) % 0.37/0.71 (step @p187 :rule trans :premises (@p186 @p173)) % 0.37/0.71 (step @p188 :rule bool-impl-elim :args (@t164 @t195)) % 0.37/0.71 (step @p189 :rule trans :premises (@p188 @p187)) % 0.37/0.71 (step @p190 :rule cong :premises (@p189) :args ((forall @t166 (=> @t164 @t195)))) % 0.37/0.71 (step @p191 :rule eq-symm :args (@t157 tptp.use)) % 0.37/0.71 (step @p192 :rule eq-symm :args (@t158 tptp.use)) % 0.37/0.71 (step @p193 :rule nary_cong :premises (@p192 @p191) :args (@t159)) % 0.37/0.71 (step @p194 :rule refl :args (@t164)) % 0.37/0.71 (step @p195 :rule cong :premises (@p194 @p193) :args (@t165)) % 0.37/0.71 (step @p196 :rule cong :premises (@p195) :args (@t167)) % 0.37/0.71 (step @p197 :rule trans :premises (@p196 @p190)) % 0.37/0.71 (step @p198 :rule refl :args (@t168)) % 0.37/0.71 (step @p199 :rule refl :args (@t169)) % 0.37/0.71 (step @p200 :rule nary_cong :premises (@p146 @p145 @p144 @p143 @p142 @p141 @p140 @p139 @p138 @p137 @p136 @p135 @p134 @p133 @p132 @p131 @p130 @p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120 @p199 @p198 @p197 @p172) :args (@t170)) % 0.37/0.71 (step @p201 :rule cong :premises (@p200 @p147) :args (@t171)) % 0.37/0.71 (step @p202 :rule cong :premises (@p201) :args (@t172)) % 0.37/0.71 (step @p203 :rule eq_resolve :premises (@p53 @p202)) % 0.37/0.71 (step @p204 :rule not_implies_elim1 :premises (@p203)) % 0.37/0.71 (step @p205 :rule and_elim :premises (@p204) :args (26)) % 0.37/0.71 (step @p206 :rule and_elim :premises (@p204) :args (25)) % 0.37/0.71 (step @p207 :rule and_elim :premises (@p204) :args (24)) % 0.37/0.71 (step @p208 :rule and_elim :premises (@p204) :args (23)) % 0.37/0.71 (step @p209 :rule and_elim :premises (@p204) :args (22)) % 0.37/0.71 (step @p210 :rule and_elim :premises (@p204) :args (21)) % 0.37/0.71 (step @p211 :rule and_elim :premises (@p204) :args (20)) % 0.37/0.71 (step @p212 :rule and_elim :premises (@p204) :args (19)) % 0.37/0.71 (step @p213 :rule and_elim :premises (@p204) :args (18)) % 0.37/0.71 (step @p214 :rule and_elim :premises (@p204) :args (17)) % 0.37/0.71 (step @p215 :rule and_elim :premises (@p204) :args (16)) % 0.37/0.71 (step @p216 :rule and_elim :premises (@p204) :args (15)) % 0.37/0.71 (step @p217 :rule and_elim :premises (@p204) :args (14)) % 0.37/0.71 (step @p218 :rule and_elim :premises (@p204) :args (13)) % 0.37/0.71 (step @p219 :rule and_elim :premises (@p204) :args (12)) % 0.37/0.71 (step @p220 :rule and_elim :premises (@p204) :args (11)) % 0.37/0.71 (step @p221 :rule and_elim :premises (@p204) :args (10)) % 0.37/0.71 (step @p222 :rule and_elim :premises (@p204) :args (9)) % 0.37/0.71 (step @p223 :rule and_elim :premises (@p204) :args (8)) % 0.37/0.71 (step @p224 :rule and_elim :premises (@p204) :args (7)) % 0.37/0.71 (step @p225 :rule and_elim :premises (@p204) :args (6)) % 0.37/0.71 (step @p226 :rule and_elim :premises (@p204) :args (5)) % 0.37/0.71 (step @p227 :rule and_elim :premises (@p204) :args (4)) % 0.37/0.71 (step @p228 :rule and_elim :premises (@p204) :args (3)) % 0.37/0.71 (step @p229 :rule and_elim :premises (@p204) :args (2)) % 0.37/0.71 (step @p230 :rule and_elim :premises (@p204) :args (1)) % 0.37/0.71 (step @p231 :rule and_elim :premises (@p204) :args (0)) % 0.37/0.71 (step @p232 :rule not_implies_elim2 :premises (@p203)) % 0.37/0.71 (step @p233 :rule not_and :premises (@p232)) % 0.37/0.71 (step @p234 :rule chain_m_resolution :premises (@p233 @p231 @p230 @p229 @p228 @p227 @p226 @p225 @p224 @p223 @p222 @p221 @p220 @p219 @p218 @p217 @p216 @p215 @p214 @p213 @p212 @p211 @p210 @p209 @p208 @p207 @p206 @p205) :args ((not @t201) (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false) (@list (= tptp.use @t143) (= tptp.use @t141) (= tptp.use @t139) (= tptp.use @t137) (= tptp.use @t135) (= tptp.use @t133) (= tptp.use @t131) (= tptp.use @t129) (= tptp.use @t127) (= tptp.use @t125) (= tptp.use @t123) (= tptp.use @t121) (= tptp.use @t119) (= tptp.use @t117) (= tptp.use @t115) (= tptp.use @t113) (= tptp.use @t111) (= tptp.use @t109) (= tptp.use @t107) (= tptp.use @t105) (= tptp.use @t103) (= tptp.use @t101) (= tptp.use @t99) (= tptp.use @t97) (= tptp.use @t95) (= tptp.use @t93) (= tptp.use @t91)))) % 0.37/0.71 (step @p235 :rule skolemize :premises (@p234)) % 0.37/0.71 (step @p236 :rule bool-double-not-elim :args (@t203)) % 0.37/0.71 (step @p237 :rule refl :args (@t213)) % 0.37/0.71 (step @p238 :rule nary_cong :premises (@p237 @p236) :args ((or @t213 (not @t206)))) % 0.37/0.71 (step @p239 :rule cnf_or_neg :args (@t213 3)) % 0.37/0.71 (step @p240 :rule eq_resolve :premises (@p239 @p238)) % 0.37/0.71 (step @p241 :rule reordering :premises (@p240) :args ((or @t203 @t213))) % 0.37/0.71 (step @p242 :rule chain_m_resolution :premises (@p241 @p235) :args (@t203 @t214 @t215)) % 0.37/0.71 (step @p243 :rule true_intro :premises (@p242)) % 0.37/0.71 (step @p244 :rule instantiate :premises (@p39) :args ((@list @t81))) % 0.37/0.71 (step @p245 :rule symm :premises (@p244)) % 0.37/0.71 (step @p246 :rule eq-symm :args (@t60 @t11)) % 0.37/0.71 (step @p247 :rule cong :premises (@p246) :args (@t61)) % 0.37/0.71 (step @p248 :rule eq_resolve :premises (@p30 @p247)) % 0.37/0.71 (step @p249 :rule instantiate :premises (@p248) :args (@t216)) % 0.37/0.71 (step @p250 :rule cong :premises (@p249) :args ((tptp.pred (tptp.succ tptp.pv5)))) % 0.37/0.71 (step @p251 :rule eq-symm :args (@t67 @t2)) % 0.37/0.71 (step @p252 :rule cong :premises (@p251) :args (@t68)) % 0.37/0.71 (step @p253 :rule eq_resolve :premises (@p40 @p252)) % 0.37/0.71 (step @p254 :rule instantiate :premises (@p253) :args (@t216)) % 0.37/0.71 (step @p255 :rule trans :premises (@p254 @p250 @p245)) % 0.37/0.71 (step @p256 :rule refl :args (@t202)) % 0.37/0.71 (step @p257 :rule cong :premises (@p256 @p255) :args (@t217)) % 0.37/0.71 (step @p258 :rule and_elim :premises (@p204) :args (29)) % 0.37/0.71 (step @p259 :rule instantiate :premises (@p258) :args ((@list @t204 @t202))) % 0.37/0.71 (step @p260 :rule cnf_or_neg :args (@t213 4)) % 0.37/0.71 (step @p261 :rule chain_m_resolution :premises (@p260 @p235) :args ((not @t205) @t214 @t215)) % 0.37/0.71 (step @p262 :rule bool-double-not-elim :args (@t207)) % 0.37/0.71 (step @p263 :rule nary_cong :premises (@p237 @p262) :args ((or @t213 (not @t208)))) % 0.37/0.71 (step @p264 :rule cnf_or_neg :args (@t213 2)) % 0.37/0.71 (step @p265 :rule eq_resolve :premises (@p264 @p263)) % 0.37/0.71 (step @p266 :rule reordering :premises (@p265) :args ((or @t207 @t213))) % 0.37/0.71 (step @p267 :rule chain_m_resolution :premises (@p266 @p235) :args (@t207 @t214 @t215)) % 0.37/0.71 (step @p268 :rule bool-double-not-elim :args (@t209)) % 0.37/0.71 (step @p269 :rule nary_cong :premises (@p237 @p268) :args ((or @t213 (not @t210)))) % 0.37/0.71 (step @p270 :rule cnf_or_neg :args (@t213 1)) % 0.37/0.71 (step @p271 :rule eq_resolve :premises (@p270 @p269)) % 0.37/0.71 (step @p272 :rule reordering :premises (@p271) :args ((or @t209 @t213))) % 0.37/0.71 (step @p273 :rule chain_m_resolution :premises (@p272 @p235) :args (@t209 @t214 @t215)) % 0.37/0.71 (step @p274 :rule bool-double-not-elim :args (@t211)) % 0.37/0.71 (step @p275 :rule nary_cong :premises (@p237 @p274) :args ((or @t213 (not @t212)))) % 0.37/0.71 (step @p276 :rule cnf_or_neg :args (@t213 0)) % 0.37/0.71 (step @p277 :rule eq_resolve :premises (@p276 @p275)) % 0.37/0.71 (step @p278 :rule reordering :premises (@p277) :args ((or @t211 @t213))) % 0.37/0.71 (step @p279 :rule chain_m_resolution :premises (@p278 @p235) :args (@t211 @t214 @t215)) % 0.37/0.71 (step @p280 :rule cnf_or_pos :args (@t219)) % 0.37/0.71 (step @p281 :rule reordering :premises (@p280) :args ((or @t212 @t210 @t208 @t205 @t218 (not @t219)))) % 0.37/0.71 (step @p282 :rule chain_m_resolution :premises (@p281 @p279 @p273 @p267 @p261 @p259) :args (@t218 (@list false false false true false) (@list @t211 @t209 @t207 @t205 @t219))) % 0.37/0.71 (step @p283 :rule false_intro :premises (@p282)) % 0.37/0.71 (step @p284 :rule symm :premises (@p283)) % 0.37/0.71 (step @p285 :rule trans :premises (@p284 @p257 @p243)) % 0.37/0.71 (step @p286 false :rule eq_resolve :premises (@p285 @p94)) % 0.37/0.71 ) % 0.37/0.71 % SZS output end Proof % 0.37/0.71 % cvc5 exiting %------------------------------------------------------------------------------