%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV196+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 : n020.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 09:00:42 AM UTC 2026 % Result : Theorem 0.46s 0.63s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV196+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.13/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.33 % Computer : n020.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.33 % CPULimit : 300 % 0.17/0.33 % WCLimit : 300 % 0.17/0.33 % DateTime : Tue Jun 2 19:59:25 EDT 2026 % 0.17/0.33 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.63 % SZS status Theorem % 0.46/0.63 % SZS output start Proof % 0.46/0.63 ( % 0.46/0.63 (declare-sort $$unsorted 0) % 0.46/0.63 (declare-const tptp.rho_defuse $$unsorted) % 0.46/0.63 (declare-const tptp.xinit_defuse $$unsorted) % 0.46/0.63 (declare-const tptp.xinit_mean_defuse $$unsorted) % 0.46/0.63 (declare-const tptp.n998 $$unsorted) % 0.46/0.63 (declare-const tptp.z_defuse $$unsorted) % 0.46/0.63 (declare-const tptp.def $$unsorted) % 0.46/0.63 (declare-const tptp.use $$unsorted) % 0.46/0.63 (declare-const tptp.true Bool) % 0.46/0.63 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.pv5 $$unsorted) % 0.46/0.63 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.u_defuse $$unsorted) % 0.46/0.63 (declare-const tptp.n3 $$unsorted) % 0.46/0.63 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.46/0.63 (declare-const tptp.n0 $$unsorted) % 0.46/0.63 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.n1 $$unsorted) % 0.46/0.63 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.n5 $$unsorted) % 0.46/0.63 (declare-const tptp.sigma_defuse $$unsorted) % 0.46/0.63 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.xinit_noise_defuse $$unsorted) % 0.46/0.63 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.46/0.63 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.63 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.46/0.63 (declare-const tptp.n4 $$unsorted) % 0.46/0.63 (declare-const tptp.n2 $$unsorted) % 0.46/0.63 (define @t1 () (@var "Y" $$unsorted)) % 0.46/0.63 (define @t2 () (@var "X" $$unsorted)) % 0.46/0.63 (define @t3 () (= @t2 @t1)) % 0.46/0.63 (define @t4 () (tptp.gt @t1 @t2)) % 0.46/0.63 (define @t5 () (tptp.gt @t2 @t1)) % 0.46/0.63 (define @t6 () (@list @t2 @t1)) % 0.46/0.63 (define @t7 () (@var "Z" $$unsorted)) % 0.46/0.63 (define @t8 () (@list @t2 @t1 @t7)) % 0.46/0.63 (define @t9 () (@list @t2)) % 0.46/0.63 (define @t10 () (tptp.leq @t2 @t1)) % 0.46/0.63 (define @t11 () (tptp.leq @t2 (tptp.pred @t1))) % 0.46/0.63 (define @t12 () (forall @t6 (= @t11 @t4))) % 0.46/0.63 (define @t13 () (tptp.succ @t2)) % 0.46/0.63 (define @t14 () (tptp.succ @t1)) % 0.46/0.63 (define @t15 () (@var "C" $$unsorted)) % 0.46/0.63 (define @t16 () (tptp.uniform_int_rnd @t15 @t2)) % 0.46/0.63 (define @t17 () (tptp.leq tptp.n0 @t2)) % 0.46/0.63 (define @t18 () (@list @t2 @t15)) % 0.46/0.63 (define @t19 () (@var "Val" $$unsorted)) % 0.46/0.63 (define @t20 () (@var "I" $$unsorted)) % 0.46/0.63 (define @t21 () (@var "U" $$unsorted)) % 0.46/0.63 (define @t22 () (@var "L" $$unsorted)) % 0.46/0.63 (define @t23 () (tptp.leq @t20 @t21)) % 0.46/0.63 (define @t24 () (@var "J" $$unsorted)) % 0.46/0.63 (define @t25 () (@var "U2" $$unsorted)) % 0.46/0.63 (define @t26 () (@var "L2" $$unsorted)) % 0.46/0.63 (define @t27 () (@var "U1" $$unsorted)) % 0.46/0.63 (define @t28 () (@var "L1" $$unsorted)) % 0.46/0.63 (define @t29 () (@var "A" $$unsorted)) % 0.46/0.63 (define @t30 () (tptp.trans @t29)) % 0.46/0.63 (define @t31 () (@var "N" $$unsorted)) % 0.46/0.63 (define @t32 () (tptp.leq @t24 @t31)) % 0.46/0.63 (define @t33 () (tptp.leq tptp.n0 @t24)) % 0.46/0.63 (define @t34 () (tptp.leq @t20 @t31)) % 0.46/0.63 (define @t35 () (tptp.leq tptp.n0 @t20)) % 0.46/0.63 (define @t36 () (and @t35 @t34 @t33 @t32)) % 0.46/0.63 (define @t37 () (@list @t20 @t24)) % 0.46/0.63 (define @t38 () (forall @t37 (=> @t36 (= (tptp.a_select3 @t29 @t20 @t24) (tptp.a_select3 @t29 @t24 @t20))))) % 0.46/0.63 (define @t39 () (@list @t29 @t31)) % 0.46/0.63 (define @t40 () (tptp.inv @t29)) % 0.46/0.63 (define @t41 () (@var "VAL" $$unsorted)) % 0.46/0.63 (define @t42 () (@var "K" $$unsorted)) % 0.46/0.63 (define @t43 () (tptp.tptp_update3 @t29 @t42 @t42 @t41)) % 0.46/0.63 (define @t44 () (@var "B" $$unsorted)) % 0.46/0.63 (define @t45 () (tptp.tptp_madd @t29 @t44)) % 0.46/0.63 (define @t46 () (= (tptp.a_select3 @t44 @t20 @t24) (tptp.a_select3 @t44 @t24 @t20))) % 0.46/0.63 (define @t47 () (forall @t37 (=> @t36 @t46))) % 0.46/0.63 (define @t48 () (and @t38 @t47)) % 0.46/0.63 (define @t49 () (@list @t29 @t44 @t31)) % 0.46/0.63 (define @t50 () (tptp.tptp_msub @t29 @t44)) % 0.46/0.63 (define @t51 () (tptp.tptp_mmul @t29 (tptp.tptp_mmul @t44 @t30))) % 0.46/0.63 (define @t52 () (forall @t37 (=> @t36 (= (tptp.a_select3 @t51 @t20 @t24) (tptp.a_select3 @t51 @t24 @t20))))) % 0.46/0.63 (define @t53 () (@var "M" $$unsorted)) % 0.46/0.63 (define @t54 () (and @t35 (tptp.leq @t20 @t53) @t33 (tptp.leq @t24 @t53))) % 0.46/0.63 (define @t55 () (@var "E" $$unsorted)) % 0.46/0.63 (define @t56 () (@var "F" $$unsorted)) % 0.46/0.63 (define @t57 () (@var "D" $$unsorted)) % 0.46/0.63 (define @t58 () (tptp.tptp_madd @t29 (tptp.tptp_mmul @t44 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t15 (tptp.tptp_mmul @t57 (tptp.trans @t15))) (tptp.tptp_mmul @t55 (tptp.tptp_mmul @t56 (tptp.trans @t55)))) (tptp.trans @t44))))) % 0.46/0.63 (define @t59 () (@var "Body" $$unsorted)) % 0.46/0.63 (define @t60 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t59)) % 0.46/0.63 (define @t61 () (@list @t59)) % 0.46/0.63 (define @t62 () (tptp.succ @t13)) % 0.46/0.63 (define @t63 () (tptp.succ @t62)) % 0.46/0.63 (define @t64 () (tptp.succ @t63)) % 0.46/0.63 (define @t65 () (tptp.succ @t64)) % 0.46/0.63 (define @t66 () (tptp.pred @t2)) % 0.46/0.63 (define @t67 () (@var "V" $$unsorted)) % 0.46/0.63 (define @t68 () (tptp.tptp_update3 @t2 @t21 @t67 @t41)) % 0.46/0.63 (define @t69 () (@var "VAL2" $$unsorted)) % 0.46/0.63 (define @t70 () (not (= @t20 @t21))) % 0.46/0.63 (define @t71 () (@var "J0" $$unsorted)) % 0.46/0.63 (define @t72 () (@var "I0" $$unsorted)) % 0.46/0.63 (define @t73 () (tptp.leq @t72 @t21)) % 0.46/0.63 (define @t74 () (tptp.leq tptp.n0 @t72)) % 0.46/0.63 (define @t75 () (tptp.tptp_update2 @t2 @t21 @t41)) % 0.46/0.63 (define @t76 () (tptp.a_select3 tptp.z_defuse @t55 @t56)) % 0.46/0.63 (define @t77 () (= tptp.pv5 @t56)) % 0.46/0.63 (define @t78 () (and (= tptp.n2 @t55) @t77)) % 0.46/0.63 (define @t79 () (not @t78)) % 0.46/0.63 (define @t80 () (and (= tptp.n1 @t55) @t77)) % 0.46/0.63 (define @t81 () (not @t80)) % 0.46/0.63 (define @t82 () (= tptp.n0 @t55)) % 0.46/0.63 (define @t83 () (and @t82 @t77)) % 0.46/0.63 (define @t84 () (not @t83)) % 0.46/0.63 (define @t85 () (and @t84 @t81 @t79)) % 0.46/0.63 (define @t86 () (=> @t85 (= @t76 tptp.use))) % 0.46/0.63 (define @t87 () (tptp.leq @t56 tptp.pv5)) % 0.46/0.63 (define @t88 () (tptp.leq @t55 tptp.n2)) % 0.46/0.63 (define @t89 () (tptp.leq tptp.n0 @t56)) % 0.46/0.63 (define @t90 () (tptp.leq tptp.n0 @t55)) % 0.46/0.63 (define @t91 () (and @t90 @t89 @t88 @t87)) % 0.46/0.63 (define @t92 () (=> @t91 @t86)) % 0.46/0.63 (define @t93 () (@list @t55 @t56)) % 0.46/0.63 (define @t94 () (forall @t93 @t92)) % 0.46/0.63 (define @t95 () (tptp.a_select3 tptp.z_defuse @t15 @t57)) % 0.46/0.63 (define @t96 () (tptp.pred tptp.pv5)) % 0.46/0.63 (define @t97 () (tptp.leq @t57 @t96)) % 0.46/0.63 (define @t98 () (tptp.leq @t15 tptp.n2)) % 0.46/0.63 (define @t99 () (tptp.leq tptp.n0 @t57)) % 0.46/0.63 (define @t100 () (tptp.leq tptp.n0 @t15)) % 0.46/0.63 (define @t101 () (and @t100 @t99 @t98 @t97)) % 0.46/0.63 (define @t102 () (=> @t101 (= @t95 tptp.use))) % 0.46/0.63 (define @t103 () (@list @t15 @t57)) % 0.46/0.63 (define @t104 () (forall @t103 @t102)) % 0.46/0.63 (define @t105 () (tptp.a_select3 tptp.u_defuse @t29 @t44)) % 0.46/0.63 (define @t106 () (tptp.leq @t44 @t96)) % 0.46/0.63 (define @t107 () (tptp.leq @t29 tptp.n2)) % 0.46/0.63 (define @t108 () (tptp.leq tptp.n0 @t44)) % 0.46/0.63 (define @t109 () (tptp.leq tptp.n0 @t29)) % 0.46/0.63 (define @t110 () (and @t109 @t108 @t107 @t106)) % 0.46/0.63 (define @t111 () (=> @t110 (= @t105 tptp.use))) % 0.46/0.63 (define @t112 () (@list @t29 @t44)) % 0.46/0.63 (define @t113 () (forall @t112 @t111)) % 0.46/0.63 (define @t114 () (tptp.gt tptp.pv5 tptp.n0)) % 0.46/0.63 (define @t115 () (tptp.leq tptp.pv5 tptp.n998)) % 0.46/0.63 (define @t116 () (tptp.leq tptp.pv5 tptp.n0)) % 0.46/0.63 (define @t117 () (tptp.leq tptp.n0 tptp.pv5)) % 0.46/0.63 (define @t118 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n5)) % 0.46/0.63 (define @t119 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n4)) % 0.46/0.63 (define @t120 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n3)) % 0.46/0.63 (define @t121 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n2)) % 0.46/0.63 (define @t122 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n1)) % 0.46/0.63 (define @t123 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n0)) % 0.46/0.63 (define @t124 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n5)) % 0.46/0.63 (define @t125 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n4)) % 0.46/0.63 (define @t126 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n3)) % 0.46/0.63 (define @t127 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n2)) % 0.46/0.63 (define @t128 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n1)) % 0.46/0.63 (define @t129 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n0)) % 0.46/0.63 (define @t130 () (tptp.a_select2 tptp.xinit_defuse tptp.n5)) % 0.46/0.63 (define @t131 () (tptp.a_select2 tptp.xinit_defuse tptp.n4)) % 0.46/0.63 (define @t132 () (tptp.a_select2 tptp.xinit_defuse tptp.n3)) % 0.46/0.63 (define @t133 () (tptp.a_select3 tptp.u_defuse tptp.n2 tptp.n0)) % 0.46/0.63 (define @t134 () (tptp.a_select3 tptp.u_defuse tptp.n1 tptp.n0)) % 0.46/0.63 (define @t135 () (tptp.a_select3 tptp.u_defuse tptp.n0 tptp.n0)) % 0.46/0.63 (define @t136 () (tptp.a_select2 tptp.sigma_defuse tptp.n5)) % 0.46/0.63 (define @t137 () (tptp.a_select2 tptp.sigma_defuse tptp.n4)) % 0.46/0.63 (define @t138 () (tptp.a_select2 tptp.sigma_defuse tptp.n3)) % 0.46/0.63 (define @t139 () (tptp.a_select2 tptp.sigma_defuse tptp.n2)) % 0.46/0.63 (define @t140 () (tptp.a_select2 tptp.sigma_defuse tptp.n1)) % 0.46/0.63 (define @t141 () (tptp.a_select2 tptp.sigma_defuse tptp.n0)) % 0.46/0.63 (define @t142 () (tptp.a_select2 tptp.rho_defuse tptp.n2)) % 0.46/0.63 (define @t143 () (tptp.a_select2 tptp.rho_defuse tptp.n1)) % 0.46/0.63 (define @t144 () (tptp.a_select2 tptp.rho_defuse tptp.n0)) % 0.46/0.63 (define @t145 () (and (= @t144 tptp.use) (= @t143 tptp.use) (= @t142 tptp.use) (= @t141 tptp.use) (= @t140 tptp.use) (= @t139 tptp.use) (= @t138 tptp.use) (= @t137 tptp.use) (= @t136 tptp.use) (= @t135 tptp.use) (= @t134 tptp.use) (= @t133 tptp.use) (= @t132 tptp.use) (= @t131 tptp.use) (= @t130 tptp.use) (= @t129 tptp.use) (= @t128 tptp.use) (= @t127 tptp.use) (= @t126 tptp.use) (= @t125 tptp.use) (= @t124 tptp.use) (= @t123 tptp.use) (= @t122 tptp.use) (= @t121 tptp.use) (= @t120 tptp.use) (= @t119 tptp.use) (= @t118 tptp.use) @t117 @t116 @t115 @t114 @t113 @t104)) % 0.46/0.63 (define @t146 () (=> @t145 @t94)) % 0.46/0.63 (define @t147 () (not @t146)) % 0.46/0.63 (define @t148 () (= @t2 tptp.n4)) % 0.46/0.63 (define @t149 () (= @t2 tptp.n3)) % 0.46/0.63 (define @t150 () (= @t2 tptp.n2)) % 0.46/0.63 (define @t151 () (= @t2 tptp.n1)) % 0.46/0.63 (define @t152 () (= @t2 tptp.n0)) % 0.46/0.63 (define @t153 () (tptp.leq @t2 tptp.n0)) % 0.46/0.63 (define @t154 () (and @t17 @t153)) % 0.46/0.63 (define @t155 () (forall @t9 (=> @t154 @t152))) % 0.46/0.63 (define @t156 () (tptp.succ tptp.n0)) % 0.46/0.63 (define @t157 () (tptp.succ @t156)) % 0.46/0.63 (define @t158 () (tptp.succ @t157)) % 0.46/0.63 (define @t159 () (tptp.succ @t158)) % 0.46/0.63 (define @t160 () (= tptp.use @t76)) % 0.46/0.63 (define @t161 () (= @t56 tptp.pv5)) % 0.46/0.63 (define @t162 () (and (= @t55 tptp.n2) @t161)) % 0.46/0.63 (define @t163 () (and (= @t55 tptp.n1) @t161)) % 0.46/0.63 (define @t164 () (and @t82 @t161)) % 0.46/0.63 (define @t165 () (not @t87)) % 0.46/0.63 (define @t166 () (not @t88)) % 0.46/0.63 (define @t167 () (not @t89)) % 0.46/0.63 (define @t168 () (not @t90)) % 0.46/0.63 (define @t169 () (or @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t160)) % 0.46/0.63 (define @t170 () (or @t164 @t163 @t162 @t160)) % 0.46/0.63 (define @t171 () (or @t168 @t167 @t166 @t165)) % 0.46/0.63 (define @t172 () (not @t162)) % 0.46/0.63 (define @t173 () (not @t172)) % 0.46/0.63 (define @t174 () (not @t163)) % 0.46/0.63 (define @t175 () (not @t174)) % 0.46/0.63 (define @t176 () (not @t164)) % 0.46/0.63 (define @t177 () (not @t176)) % 0.46/0.63 (define @t178 () (or @t177 @t175 @t173)) % 0.46/0.63 (define @t179 () (and @t176 @t174 @t172)) % 0.46/0.63 (define @t180 () (=> @t179 @t160)) % 0.46/0.63 (define @t181 () (= tptp.use @t95)) % 0.46/0.63 (define @t182 () (not @t97)) % 0.46/0.63 (define @t183 () (not @t98)) % 0.46/0.63 (define @t184 () (not @t99)) % 0.46/0.63 (define @t185 () (not @t100)) % 0.46/0.63 (define @t186 () (or @t185 @t184 @t183 @t182)) % 0.46/0.63 (define @t187 () (= tptp.use @t105)) % 0.46/0.63 (define @t188 () (not @t106)) % 0.46/0.63 (define @t189 () (not @t107)) % 0.46/0.63 (define @t190 () (not @t108)) % 0.46/0.63 (define @t191 () (not @t109)) % 0.46/0.63 (define @t192 () (or @t191 @t190 @t189 @t188)) % 0.46/0.63 (define @t193 () (tptp.leq tptp.n0 @t96)) % 0.46/0.63 (define @t194 () (= @t114 @t193)) % 0.46/0.63 (define @t195 () (not @t153)) % 0.46/0.63 (define @t196 () (not @t17)) % 0.46/0.63 (define @t197 () (or @t196 @t195 @t152)) % 0.46/0.63 (define @t198 () (forall @t93 @t169)) % 0.46/0.63 (define @t199 () (@quantifiers_skolemize @t198 1)) % 0.46/0.63 (define @t200 () (tptp.leq @t199 tptp.n0)) % 0.46/0.63 (define @t201 () (not @t200)) % 0.46/0.63 (define @t202 () (tptp.leq tptp.n0 @t199)) % 0.46/0.63 (define @t203 () (not @t202)) % 0.46/0.63 (define @t204 () (or @t203 @t201 (= @t199 tptp.n0))) % 0.46/0.63 (define @t205 () (forall @t9 @t197)) % 0.46/0.63 (define @t206 () (= tptp.n0 @t199)) % 0.46/0.63 (define @t207 () (or @t203 @t201 @t206)) % 0.46/0.63 (define @t208 () (@list false)) % 0.46/0.63 (define @t209 () (@list @t205)) % 0.46/0.63 (define @t210 () (@quantifiers_skolemize @t198 0)) % 0.46/0.63 (define @t211 () (= tptp.use (tptp.a_select3 tptp.z_defuse @t210 @t199))) % 0.46/0.63 (define @t212 () (= tptp.pv5 @t199)) % 0.46/0.63 (define @t213 () (= tptp.n0 @t210)) % 0.46/0.63 (define @t214 () (tptp.leq @t199 tptp.pv5)) % 0.46/0.63 (define @t215 () (not @t214)) % 0.46/0.63 (define @t216 () (tptp.leq @t210 tptp.n2)) % 0.46/0.63 (define @t217 () (not @t216)) % 0.46/0.63 (define @t218 () (tptp.leq tptp.n0 @t210)) % 0.46/0.63 (define @t219 () (not @t218)) % 0.46/0.63 (define @t220 () (or @t219 @t203 @t217 @t215 (and @t213 @t212) (and (= tptp.n1 @t210) @t212) (and (= tptp.n2 @t210) @t212) @t211)) % 0.46/0.63 (define @t221 () (not @t220)) % 0.46/0.63 (define @t222 () (not @t198)) % 0.46/0.63 (define @t223 () (= @t199 tptp.pv5)) % 0.46/0.63 (define @t224 () (and (= @t210 tptp.n2) @t223)) % 0.46/0.63 (define @t225 () (and (= @t210 tptp.n1) @t223)) % 0.46/0.63 (define @t226 () (and @t213 @t223)) % 0.46/0.63 (define @t227 () (or @t219 @t203 @t217 @t215 @t226 @t225 @t224 @t211)) % 0.46/0.63 (define @t228 () (not @t227)) % 0.46/0.63 (define @t229 () (@list true)) % 0.46/0.63 (define @t230 () (@list @t220)) % 0.46/0.63 (define @t231 () (not @t116)) % 0.46/0.63 (define @t232 () (not @t117)) % 0.46/0.63 (define @t233 () (or @t232 @t231 (= tptp.pv5 tptp.n0))) % 0.46/0.63 (define @t234 () (= tptp.n0 tptp.pv5)) % 0.46/0.63 (define @t235 () (or @t232 @t231 @t234)) % 0.46/0.63 (define @t236 () (@list false false false)) % 0.46/0.63 (define @t237 () (tptp.leq @t199 @t96)) % 0.46/0.63 (define @t238 () (not @t237)) % 0.46/0.63 (define @t239 () (or @t219 @t203 @t217 @t238 @t211)) % 0.46/0.63 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.46/0.63 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.46/0.63 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.46/0.63 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.46/0.63 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.46/0.63 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.46/0.63 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.46/0.63 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.46/0.63 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.46/0.63 (assume @p10 @t12) % 0.46/0.63 (assume @p11 (forall @t9 (tptp.gt @t13 @t2))) % 0.46/0.63 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t14)))) % 0.46/0.63 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t14 @t2)))) % 0.46/0.63 (assume @p14 (forall @t18 (=> @t17 (tptp.leq @t16 @t2)))) % 0.46/0.63 (assume @p15 (forall @t18 (=> @t17 (tptp.leq tptp.n0 @t16)))) % 0.46/0.63 (assume @p16 (forall (@list @t20 @t22 @t21 @t19) (=> (and (tptp.leq @t22 @t20) @t23) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t22 @t21) @t19) @t20) @t19)))) % 0.46/0.63 (assume @p17 (forall (@list @t20 @t28 @t27 @t24 @t26 @t25 @t19) (=> (and (tptp.leq @t28 @t20) (tptp.leq @t20 @t27) (tptp.leq @t26 @t24) (tptp.leq @t24 @t25)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t28 @t27) (tptp.dim @t26 @t25) @t19) @t20 @t24) @t19)))) % 0.46/0.63 (assume @p18 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (= (tptp.a_select3 @t30 @t20 @t24) (tptp.a_select3 @t30 @t24 @t20))))))) % 0.46/0.63 (assume @p19 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (= (tptp.a_select3 @t40 @t20 @t24) (tptp.a_select3 @t40 @t24 @t20))))))) % 0.46/0.63 (assume @p20 (forall @t39 (=> @t38 (forall (@list @t20 @t24 @t42 @t41) (=> (and @t35 @t34 @t33 @t32 (tptp.leq tptp.n0 @t42) (tptp.leq @t42 @t31)) (= (tptp.a_select3 @t43 @t20 @t24) (tptp.a_select3 @t43 @t24 @t20))))))) % 0.46/0.63 (assume @p21 (forall @t49 (=> @t48 (forall @t37 (=> @t36 (= (tptp.a_select3 @t45 @t20 @t24) (tptp.a_select3 @t45 @t24 @t20))))))) % 0.46/0.63 (assume @p22 (forall @t49 (=> @t48 (forall @t37 (=> @t36 (= (tptp.a_select3 @t50 @t20 @t24) (tptp.a_select3 @t50 @t24 @t20))))))) % 0.46/0.63 (assume @p23 (forall @t49 (=> @t47 @t52))) % 0.46/0.63 (assume @p24 (forall (@list @t29 @t44 @t31 @t53) (=> (forall @t37 (=> @t54 @t46)) @t52))) % 0.46/0.63 (assume @p25 (forall (@list @t29 @t44 @t15 @t57 @t55 @t56 @t31 @t53) (=> (and (forall @t37 (=> @t54 (= (tptp.a_select3 @t57 @t20 @t24) (tptp.a_select3 @t57 @t24 @t20)))) @t38 (forall @t37 (=> @t36 (= (tptp.a_select3 @t56 @t20 @t24) (tptp.a_select3 @t56 @t24 @t20))))) (forall @t37 (=> @t36 (= (tptp.a_select3 @t58 @t20 @t24) (tptp.a_select3 @t58 @t24 @t20))))))) % 0.46/0.63 (assume @p26 (forall @t61 (= @t60 tptp.n0))) % 0.46/0.63 (assume @p27 (forall @t61 (= tptp.tptp_float_0_0 @t60))) % 0.46/0.63 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.46/0.63 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t13))) % 0.46/0.63 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t13))) % 0.46/0.63 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t62))) % 0.46/0.63 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t62))) % 0.46/0.63 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t63))) % 0.46/0.63 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t63))) % 0.46/0.63 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t64))) % 0.46/0.63 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t64))) % 0.46/0.63 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t65))) % 0.46/0.63 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t65))) % 0.46/0.63 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t66))) % 0.46/0.63 (assume @p40 (forall @t9 (= (tptp.pred @t13) @t2))) % 0.46/0.63 (assume @p41 (forall @t9 (= (tptp.succ @t66) @t2))) % 0.46/0.63 (assume @p42 (forall @t6 (= (tptp.leq @t13 @t14) @t10))) % 0.46/0.63 (assume @p43 (forall @t6 (=> (tptp.leq @t13 @t1) @t4))) % 0.46/0.63 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.46/0.63 (assume @p45 (forall (@list @t2 @t21 @t67 @t41) (= (tptp.a_select3 @t68 @t21 @t67) @t41))) % 0.46/0.63 (assume @p46 (forall (@list @t20 @t24 @t21 @t67 @t2 @t41 @t69) (=> (and @t70 (= @t24 @t67) (= (tptp.a_select3 @t2 @t21 @t67) @t41)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t20 @t24 @t69) @t21 @t67) @t41)))) % 0.46/0.63 (assume @p47 (forall (@list @t20 @t24 @t21 @t67 @t2 @t41) (=> (and (forall (@list @t72 @t71) (=> (and @t74 (tptp.leq tptp.n0 @t71) @t73 (tptp.leq @t71 @t67)) (= (tptp.a_select3 @t2 @t72 @t71) @t41))) @t35 @t23 @t33 (tptp.leq @t24 @t67)) (= (tptp.a_select3 @t68 @t20 @t24) @t41)))) % 0.46/0.63 (assume @p48 (forall (@list @t2 @t21 @t41) (= (tptp.a_select2 @t75 @t21) @t41))) % 0.46/0.63 (assume @p49 (forall (@list @t20 @t21 @t2 @t41 @t69) (=> (and @t70 (= (tptp.a_select2 @t2 @t21) @t41)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t20 @t69) @t21) @t41)))) % 0.46/0.63 (assume @p50 (forall (@list @t20 @t21 @t2 @t41) (=> (and (forall (@list @t72) (=> (and @t74 @t73) (= (tptp.a_select2 @t2 @t72) @t41))) @t35 @t23) (= (tptp.a_select2 @t75 @t20) @t41)))) % 0.46/0.63 (assume @p51 tptp.true) % 0.46/0.63 (assume @p52 (not (= tptp.def tptp.use))) % 0.46/0.63 (assume @p53 @t147) % 0.46/0.63 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.46/0.63 (assume @p55 (tptp.gt tptp.n998 tptp.n4)) % 0.46/0.63 (assume @p56 (tptp.gt tptp.n998 tptp.n5)) % 0.46/0.63 (assume @p57 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.46/0.63 (assume @p58 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.46/0.63 (assume @p59 (tptp.gt tptp.n998 tptp.tptp_minus_1)) % 0.46/0.63 (assume @p60 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.46/0.63 (assume @p61 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.46/0.63 (assume @p62 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.46/0.63 (assume @p63 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.46/0.63 (assume @p64 (tptp.gt tptp.n4 tptp.n0)) % 0.46/0.63 (assume @p65 (tptp.gt tptp.n5 tptp.n0)) % 0.46/0.63 (assume @p66 (tptp.gt tptp.n998 tptp.n0)) % 0.46/0.63 (assume @p67 (tptp.gt tptp.n1 tptp.n0)) % 0.46/0.63 (assume @p68 (tptp.gt tptp.n2 tptp.n0)) % 0.46/0.63 (assume @p69 (tptp.gt tptp.n3 tptp.n0)) % 0.46/0.63 (assume @p70 (tptp.gt tptp.n4 tptp.n1)) % 0.46/0.63 (assume @p71 (tptp.gt tptp.n5 tptp.n1)) % 0.46/0.63 (assume @p72 (tptp.gt tptp.n998 tptp.n1)) % 0.46/0.63 (assume @p73 (tptp.gt tptp.n2 tptp.n1)) % 0.46/0.63 (assume @p74 (tptp.gt tptp.n3 tptp.n1)) % 0.46/0.63 (assume @p75 (tptp.gt tptp.n4 tptp.n2)) % 0.46/0.63 (assume @p76 (tptp.gt tptp.n5 tptp.n2)) % 0.46/0.63 (assume @p77 (tptp.gt tptp.n998 tptp.n2)) % 0.46/0.63 (assume @p78 (tptp.gt tptp.n3 tptp.n2)) % 0.46/0.63 (assume @p79 (tptp.gt tptp.n4 tptp.n3)) % 0.46/0.63 (assume @p80 (tptp.gt tptp.n5 tptp.n3)) % 0.46/0.63 (assume @p81 (tptp.gt tptp.n998 tptp.n3)) % 0.46/0.63 (assume @p82 (forall @t9 (=> (and @t17 (tptp.leq @t2 tptp.n4)) (or @t152 @t151 @t150 @t149 @t148)))) % 0.46/0.63 (assume @p83 (forall @t9 (=> (and @t17 (tptp.leq @t2 tptp.n5)) (or @t152 @t151 @t150 @t149 @t148 (= @t2 tptp.n5))))) % 0.46/0.63 (assume @p84 @t155) % 0.46/0.63 (assume @p85 (forall @t9 (=> (and @t17 (tptp.leq @t2 tptp.n1)) (or @t152 @t151)))) % 0.46/0.63 (assume @p86 (forall @t9 (=> (and @t17 (tptp.leq @t2 tptp.n2)) (or @t152 @t151 @t150)))) % 0.46/0.63 (assume @p87 (forall @t9 (=> (and @t17 (tptp.leq @t2 tptp.n3)) (or @t152 @t151 @t150 @t149)))) % 0.46/0.63 (assume @p88 (= @t159 tptp.n4)) % 0.46/0.63 (assume @p89 (= (tptp.succ @t159) tptp.n5)) % 0.46/0.63 (assume @p90 (= @t156 tptp.n1)) % 0.46/0.63 (assume @p91 (= @t157 tptp.n2)) % 0.46/0.63 (assume @p92 (= @t158 tptp.n3)) % 0.46/0.63 (assume @p93 true) % 0.46/0.63 (step @p94 :rule evaluate :args ((= false true))) % 0.46/0.63 (step @p95 :rule eq-symm :args (@t11 @t4)) % 0.46/0.63 (step @p96 :rule cong :premises (@p95) :args (@t12)) % 0.46/0.63 (step @p97 :rule eq_resolve :premises (@p10 @p96)) % 0.46/0.63 (step @p98 :rule instantiate :premises (@p97) :args ((@list tptp.n0 tptp.pv5))) % 0.46/0.63 (step @p99 :rule aci_norm :args ((= (or @t171 @t170) @t169))) % 0.46/0.63 (step @p100 :rule aci_norm :args ((= (or (or @t164 @t163 @t162) @t160) @t170))) % 0.46/0.63 (step @p101 :rule refl :args (@t160)) % 0.46/0.63 (step @p102 :rule bool-double-not-elim :args (@t162)) % 0.46/0.63 (step @p103 :rule bool-double-not-elim :args (@t163)) % 0.46/0.63 (step @p104 :rule bool-double-not-elim :args (@t164)) % 0.46/0.63 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102) :args (@t178)) % 0.46/0.63 (step @p106 :rule aci_norm :args ((= (or @t177 (or @t175 @t173)) @t178))) % 0.46/0.63 (step @p107 :rule trans :premises (@p106 @p105)) % 0.46/0.63 (step @p108 :rule bool-and-de-morgan :args (@t174 @t172 true)) % 0.46/0.63 (step @p109 :rule refl :args (@t177)) % 0.46/0.63 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or @t177 (not (and @t174 @t172))))) % 0.46/0.63 (step @p111 :rule bool-and-de-morgan :args (@t176 @t174 (and @t172))) % 0.46/0.63 (step @p112 :rule trans :premises (@p111 @p110)) % 0.46/0.63 (step @p113 :rule trans :premises (@p112 @p107)) % 0.46/0.63 (step @p114 :rule nary_cong :premises (@p113 @p101) :args ((or (not @t179) @t160))) % 0.46/0.63 (step @p115 :rule trans :premises (@p114 @p100)) % 0.46/0.63 (step @p116 :rule bool-impl-elim :args (@t179 @t160)) % 0.46/0.63 (step @p117 :rule trans :premises (@p116 @p115)) % 0.46/0.63 (step @p118 :rule aci_norm :args ((= (or @t168 (or @t167 (or @t166 @t165))) @t171))) % 0.46/0.63 (step @p119 :rule bool-and-de-morgan :args (@t88 @t87 true)) % 0.46/0.63 (step @p120 :rule refl :args (@t167)) % 0.46/0.63 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t167 (not (and @t88 @t87))))) % 0.46/0.63 (step @p122 :rule bool-and-de-morgan :args (@t89 @t88 (and @t87))) % 0.46/0.63 (step @p123 :rule trans :premises (@p122 @p121)) % 0.46/0.63 (step @p124 :rule refl :args (@t168)) % 0.46/0.63 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or @t168 (not (and @t89 @t88 @t87))))) % 0.46/0.63 (step @p126 :rule bool-and-de-morgan :args (@t90 @t89 (and @t88 @t87))) % 0.46/0.63 (step @p127 :rule trans :premises (@p126 @p125)) % 0.46/0.63 (step @p128 :rule trans :premises (@p127 @p118)) % 0.46/0.63 (step @p129 :rule nary_cong :premises (@p128 @p117) :args ((or (not @t91) @t180))) % 0.46/0.63 (step @p130 :rule trans :premises (@p129 @p99)) % 0.46/0.63 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@p289 :rule refl :args (@t220)) % 0.46/0.63 (step @p290 :rule nary_cong :premises (@p289 @p288) :args ((or @t220 (not @t215)))) % 0.46/0.63 (step @p291 :rule cnf_or_neg :args (@t220 3)) % 0.46/0.63 (step @p292 :rule eq_resolve :premises (@p291 @p290)) % 0.46/0.63 (step @p293 :rule reordering :premises (@p292) :args ((or @t214 @t220))) % 0.46/0.63 (step @p294 :rule chain_m_resolution :premises (@p293 @p287) :args (@t214 @t229 @t230)) % 0.46/0.63 (step @p295 :rule true_intro :premises (@p294)) % 0.46/0.63 (step @p296 :rule eq-symm :args (tptp.pv5 tptp.n0)) % 0.46/0.63 (step @p297 :rule refl :args (@t231)) % 0.46/0.63 (step @p298 :rule refl :args (@t232)) % 0.46/0.63 (step @p299 :rule nary_cong :premises (@p298 @p297 @p296) :args (@t233)) % 0.46/0.63 (step @p300 :rule cong :premises (@p252 @p299) :args ((=> @t205 @t233))) % 0.46/0.63 (assume-push @p355 @t205) % 0.46/0.63 (step @p302 :rule instantiate :premises (@p247) :args ((@list tptp.pv5))) % 0.46/0.63 (step-pop @p356 :rule scope 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0.46/0.63 (step @p317 :rule bool-double-not-elim :args (@t202)) % 0.46/0.63 (step @p318 :rule nary_cong :premises (@p289 @p317) :args ((or @t220 (not @t203)))) % 0.46/0.63 (step @p319 :rule cnf_or_neg :args (@t220 1)) % 0.46/0.63 (step @p320 :rule eq_resolve :premises (@p319 @p318)) % 0.46/0.63 (step @p321 :rule reordering :premises (@p320) :args ((or @t202 @t220))) % 0.46/0.63 (step @p322 :rule chain_m_resolution :premises (@p321 @p287) :args (@t202 @t229 @t230)) % 0.46/0.63 (step @p323 :rule cnf_or_pos :args (@t207)) % 0.46/0.63 (step @p324 :rule reordering :premises (@p323) :args ((or @t203 @t206 @t201 (not @t207)))) % 0.46/0.63 (step @p325 :rule chain_m_resolution :premises (@p324 @p322 @p316 @p260) :args (@t206 @t236 (@list @t202 @t200 @t207))) % 0.46/0.63 (step @p326 :rule symm :premises (@p325)) % 0.46/0.63 (step @p327 :rule cong :premises (@p326 @p238) :args (@t237)) % 0.46/0.63 (step @p328 :rule and_elim :premises (@p232) :args (32)) % 0.46/0.63 (step @p329 :rule instantiate 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reordering :premises (@p341) :args ((or @t218 @t220))) % 0.46/0.63 (step @p343 :rule chain_m_resolution :premises (@p342 @p287) :args (@t218 @t229 @t230)) % 0.46/0.63 (step @p344 :rule cnf_or_pos :args (@t239)) % 0.46/0.63 (step @p345 :rule reordering :premises (@p344) :args ((or @t219 @t203 @t217 @t211 @t238 (not @t239)))) % 0.46/0.63 (step @p346 :rule chain_m_resolution :premises (@p345 @p343 @p322 @p337 @p331 @p329) :args (@t238 (@list false false false true false) (@list @t218 @t202 @t216 @t211 @t239))) % 0.46/0.63 (step @p347 :rule false_intro :premises (@p346)) % 0.46/0.63 (step @p348 :rule symm :premises (@p347)) % 0.46/0.63 (step @p349 :rule trans :premises (@p348 @p327 @p237)) % 0.46/0.63 (step @p350 false :rule eq_resolve :premises (@p349 @p94)) % 0.46/0.63 ) % 0.46/0.63 % SZS output end Proof % 0.46/0.63 % cvc5 exiting %------------------------------------------------------------------------------