%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV199+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 : n017.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 0.67s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWV199+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 % 0.16/0.35 % Computer : n017.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 19:57:46 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.67 % SZS status Theorem % 0.46/0.67 % SZS output start Proof % 0.46/0.67 ( % 0.46/0.67 (declare-sort $$unsorted 0) % 0.46/0.67 (declare-const tptp.rho_defuse $$unsorted) % 0.46/0.67 (declare-const tptp.xinit_defuse $$unsorted) % 0.46/0.67 (declare-const tptp.xinit_mean_defuse $$unsorted) % 0.46/0.67 (declare-const tptp.n998 $$unsorted) % 0.46/0.67 (declare-const tptp.z_defuse $$unsorted) % 0.46/0.67 (declare-const tptp.def $$unsorted) % 0.46/0.67 (declare-const tptp.use $$unsorted) % 0.46/0.67 (declare-const tptp.true Bool) % 0.46/0.67 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.pv5 $$unsorted) % 0.46/0.67 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.46/0.67 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.u_defuse $$unsorted) % 0.46/0.67 (declare-const tptp.n3 $$unsorted) % 0.46/0.67 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.46/0.67 (declare-const tptp.n0 $$unsorted) % 0.46/0.67 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.n1 $$unsorted) % 0.46/0.67 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.n5 $$unsorted) % 0.46/0.67 (declare-const tptp.sigma_defuse $$unsorted) % 0.46/0.67 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.46/0.67 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.xinit_noise_defuse $$unsorted) % 0.46/0.67 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.46/0.67 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.46/0.67 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.46/0.67 (declare-const tptp.n4 $$unsorted) % 0.46/0.67 (declare-const tptp.n2 $$unsorted) % 0.46/0.67 (define @t1 () (@var "Y" $$unsorted)) % 0.46/0.67 (define @t2 () (@var "X" $$unsorted)) % 0.46/0.67 (define @t3 () (= @t2 @t1)) % 0.46/0.67 (define @t4 () (tptp.gt @t1 @t2)) % 0.46/0.67 (define @t5 () (tptp.gt @t2 @t1)) % 0.46/0.67 (define @t6 () (@list @t2 @t1)) % 0.46/0.67 (define @t7 () (@var "Z" $$unsorted)) % 0.46/0.67 (define @t8 () (@list @t2 @t1 @t7)) % 0.46/0.67 (define @t9 () (@list @t2)) % 0.46/0.67 (define @t10 () (tptp.leq @t2 @t1)) % 0.46/0.67 (define @t11 () (tptp.succ @t2)) % 0.46/0.67 (define @t12 () (tptp.succ @t1)) % 0.46/0.67 (define @t13 () (@var "C" $$unsorted)) % 0.46/0.67 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.46/0.67 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.46/0.67 (define @t16 () (@list @t2 @t13)) % 0.46/0.67 (define @t17 () (@var "Val" $$unsorted)) % 0.46/0.67 (define @t18 () (@var "I" $$unsorted)) % 0.46/0.67 (define @t19 () (@var "U" $$unsorted)) % 0.46/0.67 (define @t20 () (@var "L" $$unsorted)) % 0.46/0.67 (define @t21 () (tptp.leq @t18 @t19)) % 0.46/0.67 (define @t22 () (@var "J" $$unsorted)) % 0.46/0.67 (define @t23 () (@var "U2" $$unsorted)) % 0.46/0.67 (define @t24 () (@var "L2" $$unsorted)) % 0.46/0.67 (define @t25 () (@var "U1" $$unsorted)) % 0.46/0.67 (define @t26 () (@var "L1" $$unsorted)) % 0.46/0.67 (define @t27 () (@var "A" $$unsorted)) % 0.46/0.67 (define @t28 () (tptp.trans @t27)) % 0.46/0.67 (define @t29 () (@var "N" $$unsorted)) % 0.46/0.67 (define @t30 () (tptp.leq @t22 @t29)) % 0.46/0.67 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.46/0.67 (define @t32 () (tptp.leq @t18 @t29)) % 0.46/0.67 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.46/0.67 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.46/0.67 (define @t35 () (@list @t18 @t22)) % 0.46/0.67 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.46/0.67 (define @t37 () (@list @t27 @t29)) % 0.46/0.67 (define @t38 () (tptp.inv @t27)) % 0.46/0.67 (define @t39 () (@var "VAL" $$unsorted)) % 0.46/0.67 (define @t40 () (@var "K" $$unsorted)) % 0.46/0.67 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.46/0.67 (define @t42 () (@var "B" $$unsorted)) % 0.46/0.67 (define @t43 () (tptp.tptp_madd @t27 @t42)) % 0.46/0.67 (define @t44 () (= (tptp.a_select3 @t42 @t18 @t22) (tptp.a_select3 @t42 @t22 @t18))) % 0.46/0.67 (define @t45 () (forall @t35 (=> @t34 @t44))) % 0.46/0.67 (define @t46 () (and @t36 @t45)) % 0.46/0.67 (define @t47 () (@list @t27 @t42 @t29)) % 0.46/0.67 (define @t48 () (tptp.tptp_msub @t27 @t42)) % 0.46/0.67 (define @t49 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t42 @t28))) % 0.46/0.67 (define @t50 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))) % 0.46/0.67 (define @t51 () (@var "M" $$unsorted)) % 0.46/0.67 (define @t52 () (and @t33 (tptp.leq @t18 @t51) @t31 (tptp.leq @t22 @t51))) % 0.46/0.67 (define @t53 () (@var "E" $$unsorted)) % 0.46/0.67 (define @t54 () (@var "F" $$unsorted)) % 0.46/0.67 (define @t55 () (@var "D" $$unsorted)) % 0.46/0.67 (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))))) % 0.46/0.67 (define @t57 () (@var "Body" $$unsorted)) % 0.46/0.67 (define @t58 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t57)) % 0.46/0.67 (define @t59 () (@list @t57)) % 0.46/0.67 (define @t60 () (tptp.succ @t11)) % 0.46/0.67 (define @t61 () (tptp.succ @t60)) % 0.46/0.67 (define @t62 () (tptp.succ @t61)) % 0.46/0.67 (define @t63 () (tptp.succ @t62)) % 0.46/0.67 (define @t64 () (tptp.pred @t2)) % 0.46/0.67 (define @t65 () (@var "V" $$unsorted)) % 0.46/0.67 (define @t66 () (tptp.tptp_update3 @t2 @t19 @t65 @t39)) % 0.46/0.67 (define @t67 () (@var "VAL2" $$unsorted)) % 0.46/0.67 (define @t68 () (not (= @t18 @t19))) % 0.46/0.67 (define @t69 () (@var "J0" $$unsorted)) % 0.46/0.67 (define @t70 () (@var "I0" $$unsorted)) % 0.46/0.67 (define @t71 () (tptp.leq @t70 @t19)) % 0.46/0.67 (define @t72 () (tptp.leq tptp.n0 @t70)) % 0.46/0.67 (define @t73 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.46/0.67 (define @t74 () (tptp.a_select3 tptp.z_defuse @t53 @t54)) % 0.46/0.67 (define @t75 () (= tptp.pv5 @t54)) % 0.46/0.67 (define @t76 () (and (= tptp.n2 @t53) @t75)) % 0.46/0.67 (define @t77 () (not @t76)) % 0.46/0.67 (define @t78 () (and (= tptp.n1 @t53) @t75)) % 0.46/0.67 (define @t79 () (not @t78)) % 0.46/0.67 (define @t80 () (= tptp.n0 @t53)) % 0.46/0.67 (define @t81 () (and @t80 @t75)) % 0.46/0.67 (define @t82 () (not @t81)) % 0.46/0.67 (define @t83 () (and @t82 @t79 @t77)) % 0.46/0.67 (define @t84 () (=> @t83 (= @t74 tptp.use))) % 0.46/0.67 (define @t85 () (tptp.leq @t54 tptp.pv5)) % 0.46/0.67 (define @t86 () (tptp.leq @t53 tptp.n2)) % 0.46/0.67 (define @t87 () (tptp.leq tptp.n0 @t54)) % 0.46/0.67 (define @t88 () (tptp.leq tptp.n0 @t53)) % 0.46/0.67 (define @t89 () (and @t88 @t87 @t86 @t85)) % 0.46/0.67 (define @t90 () (=> @t89 @t84)) % 0.46/0.67 (define @t91 () (@list @t53 @t54)) % 0.46/0.67 (define @t92 () (forall @t91 @t90)) % 0.46/0.67 (define @t93 () (tptp.a_select3 tptp.z_defuse @t13 @t55)) % 0.46/0.67 (define @t94 () (tptp.pred tptp.pv5)) % 0.46/0.67 (define @t95 () (tptp.leq @t55 @t94)) % 0.46/0.67 (define @t96 () (tptp.leq @t13 tptp.n2)) % 0.46/0.67 (define @t97 () (tptp.leq tptp.n0 @t55)) % 0.46/0.67 (define @t98 () (tptp.leq tptp.n0 @t13)) % 0.46/0.67 (define @t99 () (and @t98 @t97 @t96 @t95)) % 0.46/0.67 (define @t100 () (=> @t99 (= @t93 tptp.use))) % 0.46/0.67 (define @t101 () (@list @t13 @t55)) % 0.46/0.67 (define @t102 () (forall @t101 @t100)) % 0.46/0.67 (define @t103 () (tptp.a_select3 tptp.u_defuse @t27 @t42)) % 0.46/0.67 (define @t104 () (tptp.leq @t42 @t94)) % 0.46/0.67 (define @t105 () (tptp.leq @t27 tptp.n2)) % 0.46/0.67 (define @t106 () (tptp.leq tptp.n0 @t42)) % 0.46/0.67 (define @t107 () (tptp.leq tptp.n0 @t27)) % 0.46/0.67 (define @t108 () (and @t107 @t106 @t105 @t104)) % 0.46/0.67 (define @t109 () (=> @t108 (= @t103 tptp.use))) % 0.46/0.67 (define @t110 () (@list @t27 @t42)) % 0.46/0.67 (define @t111 () (forall @t110 @t109)) % 0.46/0.67 (define @t112 () (tptp.leq tptp.pv5 tptp.n998)) % 0.46/0.67 (define @t113 () (tptp.leq tptp.pv5 tptp.n0)) % 0.46/0.67 (define @t114 () (tptp.leq tptp.n0 tptp.pv5)) % 0.46/0.67 (define @t115 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n5)) % 0.46/0.67 (define @t116 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n4)) % 0.46/0.67 (define @t117 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n3)) % 0.46/0.67 (define @t118 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n2)) % 0.46/0.67 (define @t119 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n1)) % 0.46/0.67 (define @t120 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n0)) % 0.46/0.67 (define @t121 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n5)) % 0.46/0.67 (define @t122 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n4)) % 0.46/0.67 (define @t123 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n3)) % 0.46/0.67 (define @t124 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n2)) % 0.46/0.67 (define @t125 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n1)) % 0.46/0.67 (define @t126 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n0)) % 0.46/0.67 (define @t127 () (tptp.a_select2 tptp.xinit_defuse tptp.n5)) % 0.46/0.67 (define @t128 () (tptp.a_select2 tptp.xinit_defuse tptp.n4)) % 0.46/0.67 (define @t129 () (tptp.a_select2 tptp.xinit_defuse tptp.n3)) % 0.46/0.67 (define @t130 () (tptp.a_select3 tptp.u_defuse tptp.n2 tptp.n0)) % 0.46/0.67 (define @t131 () (tptp.a_select3 tptp.u_defuse tptp.n1 tptp.n0)) % 0.46/0.67 (define @t132 () (tptp.a_select3 tptp.u_defuse tptp.n0 tptp.n0)) % 0.46/0.67 (define @t133 () (tptp.a_select2 tptp.sigma_defuse tptp.n5)) % 0.46/0.67 (define @t134 () (tptp.a_select2 tptp.sigma_defuse tptp.n4)) % 0.46/0.67 (define @t135 () (tptp.a_select2 tptp.sigma_defuse tptp.n3)) % 0.46/0.67 (define @t136 () (tptp.a_select2 tptp.sigma_defuse tptp.n2)) % 0.46/0.67 (define @t137 () (tptp.a_select2 tptp.sigma_defuse tptp.n1)) % 0.46/0.67 (define @t138 () (tptp.a_select2 tptp.sigma_defuse tptp.n0)) % 0.46/0.67 (define @t139 () (tptp.a_select2 tptp.rho_defuse tptp.n2)) % 0.46/0.67 (define @t140 () (tptp.a_select2 tptp.rho_defuse tptp.n1)) % 0.46/0.67 (define @t141 () (tptp.a_select2 tptp.rho_defuse tptp.n0)) % 0.46/0.67 (define @t142 () (and (= @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 tptp.use) (= @t116 tptp.use) (= @t115 tptp.use) @t114 @t113 @t112 @t111 @t102)) % 0.46/0.67 (define @t143 () (=> @t142 @t92)) % 0.46/0.67 (define @t144 () (not @t143)) % 0.46/0.67 (define @t145 () (= @t2 tptp.n4)) % 0.46/0.67 (define @t146 () (= @t2 tptp.n3)) % 0.46/0.67 (define @t147 () (= @t2 tptp.n2)) % 0.46/0.67 (define @t148 () (= @t2 tptp.n1)) % 0.46/0.67 (define @t149 () (= @t2 tptp.n0)) % 0.46/0.67 (define @t150 () (tptp.leq @t2 tptp.n0)) % 0.46/0.67 (define @t151 () (and @t15 @t150)) % 0.46/0.67 (define @t152 () (forall @t9 (=> @t151 @t149))) % 0.46/0.67 (define @t153 () (or @t149 @t148 @t147)) % 0.46/0.67 (define @t154 () (tptp.leq @t2 tptp.n2)) % 0.46/0.67 (define @t155 () (and @t15 @t154)) % 0.46/0.67 (define @t156 () (forall @t9 (=> @t155 @t153))) % 0.46/0.67 (define @t157 () (tptp.succ tptp.n0)) % 0.46/0.67 (define @t158 () (tptp.succ @t157)) % 0.46/0.67 (define @t159 () (tptp.succ @t158)) % 0.46/0.67 (define @t160 () (tptp.succ @t159)) % 0.46/0.67 (define @t161 () (= tptp.use @t74)) % 0.46/0.67 (define @t162 () (= @t54 tptp.pv5)) % 0.46/0.67 (define @t163 () (and (= @t53 tptp.n2) @t162)) % 0.46/0.67 (define @t164 () (and (= @t53 tptp.n1) @t162)) % 0.46/0.67 (define @t165 () (and @t80 @t162)) % 0.46/0.67 (define @t166 () (not @t85)) % 0.46/0.67 (define @t167 () (not @t86)) % 0.46/0.67 (define @t168 () (not @t87)) % 0.46/0.67 (define @t169 () (not @t88)) % 0.46/0.67 (define @t170 () (or @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t161)) % 0.46/0.67 (define @t171 () (or @t165 @t164 @t163 @t161)) % 0.46/0.67 (define @t172 () (or @t169 @t168 @t167 @t166)) % 0.46/0.67 (define @t173 () (not @t163)) % 0.46/0.67 (define @t174 () (not @t173)) % 0.46/0.67 (define @t175 () (not @t164)) % 0.46/0.67 (define @t176 () (not @t175)) % 0.46/0.67 (define @t177 () (not @t165)) % 0.46/0.67 (define @t178 () (not @t177)) % 0.46/0.67 (define @t179 () (or @t178 @t176 @t174)) % 0.46/0.67 (define @t180 () (and @t177 @t175 @t173)) % 0.46/0.67 (define @t181 () (=> @t180 @t161)) % 0.46/0.67 (define @t182 () (= tptp.use @t93)) % 0.46/0.67 (define @t183 () (not @t95)) % 0.46/0.67 (define @t184 () (not @t96)) % 0.46/0.67 (define @t185 () (not @t97)) % 0.46/0.67 (define @t186 () (not @t98)) % 0.46/0.67 (define @t187 () (or @t186 @t185 @t184 @t183)) % 0.46/0.67 (define @t188 () (= tptp.use @t103)) % 0.46/0.67 (define @t189 () (not @t104)) % 0.46/0.67 (define @t190 () (not @t105)) % 0.46/0.67 (define @t191 () (not @t106)) % 0.46/0.67 (define @t192 () (not @t107)) % 0.46/0.67 (define @t193 () (or @t192 @t191 @t190 @t189)) % 0.46/0.67 (define @t194 () (forall @t91 @t170)) % 0.46/0.67 (define @t195 () (@quantifiers_skolemize @t194 1)) % 0.46/0.67 (define @t196 () (@quantifiers_skolemize @t194 0)) % 0.46/0.67 (define @t197 () (= tptp.use (tptp.a_select3 tptp.z_defuse @t196 @t195))) % 0.46/0.67 (define @t198 () (= tptp.pv5 @t195)) % 0.46/0.67 (define @t199 () (= tptp.n2 @t196)) % 0.46/0.67 (define @t200 () (and @t199 @t198)) % 0.46/0.67 (define @t201 () (= tptp.n1 @t196)) % 0.46/0.67 (define @t202 () (and @t201 @t198)) % 0.46/0.67 (define @t203 () (= tptp.n0 @t196)) % 0.46/0.67 (define @t204 () (and @t203 @t198)) % 0.46/0.67 (define @t205 () (tptp.leq @t195 tptp.pv5)) % 0.46/0.67 (define @t206 () (not @t205)) % 0.46/0.67 (define @t207 () (tptp.leq @t196 tptp.n2)) % 0.46/0.67 (define @t208 () (not @t207)) % 0.46/0.67 (define @t209 () (tptp.leq tptp.n0 @t195)) % 0.46/0.67 (define @t210 () (not @t209)) % 0.46/0.67 (define @t211 () (tptp.leq tptp.n0 @t196)) % 0.46/0.67 (define @t212 () (not @t211)) % 0.46/0.67 (define @t213 () (or @t212 @t210 @t208 @t206 @t204 @t202 @t200 @t197)) % 0.46/0.67 (define @t214 () (not @t213)) % 0.46/0.67 (define @t215 () (not @t194)) % 0.46/0.67 (define @t216 () (= @t195 tptp.pv5)) % 0.46/0.67 (define @t217 () (= @t196 tptp.n2)) % 0.46/0.67 (define @t218 () (and @t217 @t216)) % 0.46/0.67 (define @t219 () (= @t196 tptp.n1)) % 0.46/0.67 (define @t220 () (and @t219 @t216)) % 0.46/0.67 (define @t221 () (and @t203 @t216)) % 0.46/0.67 (define @t222 () (or @t212 @t210 @t208 @t206 @t221 @t220 @t218 @t197)) % 0.46/0.67 (define @t223 () (not @t222)) % 0.46/0.67 (define @t224 () (@list true)) % 0.46/0.67 (define @t225 () (@list @t213)) % 0.46/0.67 (define @t226 () (not @t150)) % 0.46/0.67 (define @t227 () (not @t15)) % 0.46/0.67 (define @t228 () (or @t227 @t226 @t149)) % 0.46/0.67 (define @t229 () (tptp.leq @t195 tptp.n0)) % 0.46/0.67 (define @t230 () (not @t229)) % 0.46/0.67 (define @t231 () (or @t210 @t230 (= @t195 tptp.n0))) % 0.46/0.67 (define @t232 () (forall @t9 @t228)) % 0.46/0.67 (define @t233 () (= tptp.n0 @t195)) % 0.46/0.67 (define @t234 () (or @t210 @t230 @t233)) % 0.46/0.67 (define @t235 () (@list false)) % 0.46/0.67 (define @t236 () (@list @t232)) % 0.46/0.67 (define @t237 () (not @t113)) % 0.46/0.67 (define @t238 () (not @t114)) % 0.46/0.67 (define @t239 () (or @t238 @t237 (= tptp.pv5 tptp.n0))) % 0.46/0.67 (define @t240 () (= tptp.n0 tptp.pv5)) % 0.46/0.67 (define @t241 () (or @t238 @t237 @t240)) % 0.46/0.67 (define @t242 () (@list false false false)) % 0.46/0.67 (define @t243 () (@list true false)) % 0.46/0.67 (define @t244 () (not @t154)) % 0.46/0.67 (define @t245 () (or @t227 @t244 @t149 @t148 @t147)) % 0.46/0.67 (define @t246 () (or @t212 @t208 (= @t196 tptp.n0) @t219 @t217)) % 0.46/0.67 (define @t247 () (forall @t9 @t245)) % 0.46/0.67 (define @t248 () (or @t212 @t208 @t203 @t201 @t199)) % 0.46/0.67 (define @t249 () (not @t201)) % 0.46/0.67 (define @t250 () (not @t198)) % 0.46/0.67 (define @t251 () (not @t199)) % 0.46/0.67 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.46/0.67 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.46/0.67 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.46/0.67 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.46/0.67 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.46/0.67 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.46/0.67 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.46/0.67 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.46/0.67 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.46/0.67 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.46/0.67 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.46/0.67 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.46/0.67 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.46/0.67 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.46/0.67 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.46/0.67 (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)))) % 0.46/0.67 (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)))) % 0.46/0.67 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.46/0.67 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.46/0.67 (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))))))) % 0.46/0.67 (assume @p21 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))))))) % 0.46/0.67 (assume @p22 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t48 @t18 @t22) (tptp.a_select3 @t48 @t22 @t18))))))) % 0.46/0.67 (assume @p23 (forall @t47 (=> @t45 @t50))) % 0.46/0.67 (assume @p24 (forall (@list @t27 @t42 @t29 @t51) (=> (forall @t35 (=> @t52 @t44)) @t50))) % 0.46/0.67 (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))))))) % 0.46/0.67 (assume @p26 (forall @t59 (= @t58 tptp.n0))) % 0.46/0.67 (assume @p27 (forall @t59 (= tptp.tptp_float_0_0 @t58))) % 0.46/0.67 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.46/0.67 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.46/0.67 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t11))) % 0.46/0.67 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t60))) % 0.46/0.67 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t60))) % 0.46/0.67 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t61))) % 0.46/0.67 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t61))) % 0.46/0.67 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t62))) % 0.46/0.67 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t62))) % 0.46/0.67 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t63))) % 0.46/0.67 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t63))) % 0.46/0.67 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t64))) % 0.46/0.67 (assume @p40 (forall @t9 (= (tptp.pred @t11) @t2))) % 0.46/0.67 (assume @p41 (forall @t9 (= (tptp.succ @t64) @t2))) % 0.46/0.67 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.46/0.67 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.46/0.67 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.46/0.67 (assume @p45 (forall (@list @t2 @t19 @t65 @t39) (= (tptp.a_select3 @t66 @t19 @t65) @t39))) % 0.46/0.67 (assume @p46 (forall (@list @t18 @t22 @t19 @t65 @t2 @t39 @t67) (=> (and @t68 (= @t22 @t65) (= (tptp.a_select3 @t2 @t19 @t65) @t39)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t18 @t22 @t67) @t19 @t65) @t39)))) % 0.46/0.67 (assume @p47 (forall (@list @t18 @t22 @t19 @t65 @t2 @t39) (=> (and (forall (@list @t70 @t69) (=> (and @t72 (tptp.leq tptp.n0 @t69) @t71 (tptp.leq @t69 @t65)) (= (tptp.a_select3 @t2 @t70 @t69) @t39))) @t33 @t21 @t31 (tptp.leq @t22 @t65)) (= (tptp.a_select3 @t66 @t18 @t22) @t39)))) % 0.46/0.67 (assume @p48 (forall (@list @t2 @t19 @t39) (= (tptp.a_select2 @t73 @t19) @t39))) % 0.46/0.67 (assume @p49 (forall (@list @t18 @t19 @t2 @t39 @t67) (=> (and @t68 (= (tptp.a_select2 @t2 @t19) @t39)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t18 @t67) @t19) @t39)))) % 0.46/0.67 (assume @p50 (forall (@list @t18 @t19 @t2 @t39) (=> (and (forall (@list @t70) (=> (and @t72 @t71) (= (tptp.a_select2 @t2 @t70) @t39))) @t33 @t21) (= (tptp.a_select2 @t73 @t18) @t39)))) % 0.46/0.67 (assume @p51 tptp.true) % 0.46/0.67 (assume @p52 (not (= tptp.def tptp.use))) % 0.46/0.67 (assume @p53 @t144) % 0.46/0.67 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.46/0.67 (assume @p55 (tptp.gt tptp.n998 tptp.n4)) % 0.46/0.67 (assume @p56 (tptp.gt tptp.n998 tptp.n5)) % 0.46/0.67 (assume @p57 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.46/0.67 (assume @p58 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.46/0.67 (assume @p59 (tptp.gt tptp.n998 tptp.tptp_minus_1)) % 0.46/0.67 (assume @p60 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.46/0.67 (assume @p61 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.46/0.67 (assume @p62 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.46/0.67 (assume @p63 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.46/0.67 (assume @p64 (tptp.gt tptp.n4 tptp.n0)) % 0.46/0.67 (assume @p65 (tptp.gt tptp.n5 tptp.n0)) % 0.46/0.67 (assume @p66 (tptp.gt tptp.n998 tptp.n0)) % 0.46/0.67 (assume @p67 (tptp.gt tptp.n1 tptp.n0)) % 0.46/0.67 (assume @p68 (tptp.gt tptp.n2 tptp.n0)) % 0.46/0.67 (assume @p69 (tptp.gt tptp.n3 tptp.n0)) % 0.46/0.67 (assume @p70 (tptp.gt tptp.n4 tptp.n1)) % 0.46/0.67 (assume @p71 (tptp.gt tptp.n5 tptp.n1)) % 0.46/0.67 (assume @p72 (tptp.gt tptp.n998 tptp.n1)) % 0.46/0.67 (assume @p73 (tptp.gt tptp.n2 tptp.n1)) % 0.46/0.67 (assume @p74 (tptp.gt tptp.n3 tptp.n1)) % 0.46/0.67 (assume @p75 (tptp.gt tptp.n4 tptp.n2)) % 0.46/0.67 (assume @p76 (tptp.gt tptp.n5 tptp.n2)) % 0.46/0.67 (assume @p77 (tptp.gt tptp.n998 tptp.n2)) % 0.46/0.67 (assume @p78 (tptp.gt tptp.n3 tptp.n2)) % 0.46/0.67 (assume @p79 (tptp.gt tptp.n4 tptp.n3)) % 0.46/0.67 (assume @p80 (tptp.gt tptp.n5 tptp.n3)) % 0.46/0.67 (assume @p81 (tptp.gt tptp.n998 tptp.n3)) % 0.46/0.67 (assume @p82 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t149 @t148 @t147 @t146 @t145)))) % 0.46/0.67 (assume @p83 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t149 @t148 @t147 @t146 @t145 (= @t2 tptp.n5))))) % 0.46/0.67 (assume @p84 @t152) % 0.46/0.67 (assume @p85 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t149 @t148)))) % 0.46/0.67 (assume @p86 @t156) % 0.46/0.67 (assume @p87 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t149 @t148 @t147 @t146)))) % 0.46/0.67 (assume @p88 (= @t160 tptp.n4)) % 0.46/0.67 (assume @p89 (= (tptp.succ @t160) tptp.n5)) % 0.46/0.67 (assume @p90 (= @t157 tptp.n1)) % 0.46/0.67 (assume @p91 (= @t158 tptp.n2)) % 0.46/0.67 (assume @p92 (= @t159 tptp.n3)) % 0.46/0.67 (assume @p93 true) % 0.46/0.67 (step @p94 :rule aci_norm :args ((= (or @t172 @t171) @t170))) % 0.46/0.67 (step @p95 :rule aci_norm :args ((= (or (or @t165 @t164 @t163) @t161) @t171))) % 0.46/0.67 (step @p96 :rule refl :args (@t161)) % 0.46/0.67 (step @p97 :rule bool-double-not-elim :args (@t163)) % 0.46/0.67 (step @p98 :rule bool-double-not-elim :args (@t164)) % 0.46/0.67 (step @p99 :rule bool-double-not-elim :args (@t165)) % 0.46/0.67 (step @p100 :rule nary_cong :premises (@p99 @p98 @p97) :args (@t179)) % 0.46/0.67 (step @p101 :rule aci_norm :args ((= (or @t178 (or @t176 @t174)) @t179))) % 0.46/0.67 (step @p102 :rule trans :premises (@p101 @p100)) % 0.46/0.67 (step @p103 :rule bool-and-de-morgan :args (@t175 @t173 true)) % 0.46/0.67 (step @p104 :rule refl :args (@t178)) % 0.46/0.67 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t178 (not (and @t175 @t173))))) % 0.46/0.67 (step @p106 :rule bool-and-de-morgan :args (@t177 @t175 (and @t173))) % 0.46/0.67 (step @p107 :rule trans :premises (@p106 @p105)) % 0.46/0.67 (step @p108 :rule trans :premises (@p107 @p102)) % 0.46/0.67 (step @p109 :rule nary_cong :premises (@p108 @p96) :args ((or (not @t180) @t161))) % 0.46/0.67 (step @p110 :rule trans :premises (@p109 @p95)) % 0.46/0.67 (step @p111 :rule bool-impl-elim :args (@t180 @t161)) % 0.46/0.67 (step @p112 :rule trans :premises (@p111 @p110)) % 0.46/0.67 (step @p113 :rule aci_norm :args ((= (or @t169 (or @t168 (or @t167 @t166))) @t172))) % 0.46/0.67 (step @p114 :rule bool-and-de-morgan :args (@t86 @t85 true)) % 0.46/0.67 (step @p115 :rule refl :args (@t168)) % 0.46/0.67 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or @t168 (not (and @t86 @t85))))) % 0.46/0.67 (step @p117 :rule bool-and-de-morgan :args (@t87 @t86 (and @t85))) % 0.46/0.67 (step @p118 :rule trans :premises (@p117 @p116)) % 0.46/0.67 (step @p119 :rule refl :args (@t169)) % 0.46/0.67 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or @t169 (not (and @t87 @t86 @t85))))) % 0.46/0.67 (step @p121 :rule bool-and-de-morgan :args (@t88 @t87 (and @t86 @t85))) % 0.46/0.67 (step @p122 :rule trans :premises (@p121 @p120)) % 0.46/0.67 (step @p123 :rule trans :premises (@p122 @p113)) % 0.46/0.67 (step @p124 :rule nary_cong :premises 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0.46/0.67 (step @p350 :rule implies_elim :premises (@p349)) % 0.46/0.67 (step @p351 :rule chain_m_resolution :premises (@p350 @p340) :args (@t248 @t235 (@list @t247))) % 0.46/0.67 (step @p352 :rule cnf_or_neg :args (@t213 5)) % 0.46/0.67 (step @p353 :rule chain_m_resolution :premises (@p352 @p253) :args ((not @t202) @t224 @t225)) % 0.46/0.67 (step @p354 :rule cnf_and_neg :args (@t202)) % 0.46/0.67 (step @p355 :rule reordering :premises (@p354) :args ((or @t202 @t250 @t249))) % 0.46/0.67 (step @p356 :rule chain_m_resolution :premises (@p355 @p353 @p327) :args (@t249 @t243 (@list @t202 @t198))) % 0.46/0.67 (step @p357 :rule cnf_or_neg :args (@t213 6)) % 0.46/0.67 (step @p358 :rule chain_m_resolution :premises (@p357 @p253) :args ((not @t200) @t224 @t225)) % 0.46/0.67 (step @p359 :rule cnf_and_neg :args (@t200)) % 0.46/0.67 (step @p360 :rule reordering :premises (@p359) :args ((or @t200 @t250 @t251))) % 0.46/0.67 (step @p361 :rule chain_m_resolution :premises (@p360 @p358 @p327) :args (@t251 @t243 (@list @t200 @t198))) % 0.46/0.67 (step @p362 :rule cnf_or_pos :args (@t248)) % 0.46/0.67 (step @p363 :rule reordering :premises (@p362) :args ((or @t212 @t208 @t203 @t201 @t199 (not @t248)))) % 0.46/0.67 (step @p364 false :rule chain_m_resolution :premises (@p363 @p361 @p356 @p351 @p331 @p266 @p260) :args (false (@list true true false true false false) (@list @t199 @t201 @t248 @t203 @t207 @t211))) % 0.46/0.67 ) % 0.46/0.67 % SZS output end Proof % 0.46/0.67 % cvc5 exiting %------------------------------------------------------------------------------