%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV202+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 : n005.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 09:00:43 AM UTC 2026 % Result : Theorem 0.51s 0.70s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV202+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 : n005.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 19:59:03 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.51/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/0.70 % SZS status Theorem % 0.51/0.70 % SZS output start Proof % 0.51/0.70 ( % 0.51/0.70 (declare-sort $$unsorted 0) % 0.51/0.70 (declare-const tptp.rho_defuse $$unsorted) % 0.51/0.70 (declare-const tptp.xinit_defuse $$unsorted) % 0.51/0.70 (declare-const tptp.xinit_mean_defuse $$unsorted) % 0.51/0.70 (declare-const tptp.n998 $$unsorted) % 0.51/0.70 (declare-const tptp.z_defuse $$unsorted) % 0.51/0.70 (declare-const tptp.def $$unsorted) % 0.51/0.70 (declare-const tptp.use $$unsorted) % 0.51/0.70 (declare-const tptp.true Bool) % 0.51/0.70 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.pv5 $$unsorted) % 0.51/0.70 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.u_defuse $$unsorted) % 0.51/0.70 (declare-const tptp.n3 $$unsorted) % 0.51/0.70 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.51/0.70 (declare-const tptp.n0 $$unsorted) % 0.51/0.70 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.n1 $$unsorted) % 0.51/0.70 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.n5 $$unsorted) % 0.51/0.70 (declare-const tptp.sigma_defuse $$unsorted) % 0.51/0.70 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.xinit_noise_defuse $$unsorted) % 0.51/0.70 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.51/0.70 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.70 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.51/0.70 (declare-const tptp.n4 $$unsorted) % 0.51/0.70 (declare-const tptp.n2 $$unsorted) % 0.51/0.70 (define @t1 () (@var "Y" $$unsorted)) % 0.51/0.70 (define @t2 () (@var "X" $$unsorted)) % 0.51/0.70 (define @t3 () (= @t2 @t1)) % 0.51/0.70 (define @t4 () (tptp.gt @t1 @t2)) % 0.51/0.70 (define @t5 () (tptp.gt @t2 @t1)) % 0.51/0.70 (define @t6 () (@list @t2 @t1)) % 0.51/0.70 (define @t7 () (@var "Z" $$unsorted)) % 0.51/0.70 (define @t8 () (@list @t2 @t1 @t7)) % 0.51/0.70 (define @t9 () (@list @t2)) % 0.51/0.70 (define @t10 () (tptp.leq @t2 @t1)) % 0.51/0.70 (define @t11 () (not @t3)) % 0.51/0.70 (define @t12 () (and @t10 @t11)) % 0.51/0.70 (define @t13 () (forall @t6 (=> @t12 @t4))) % 0.51/0.70 (define @t14 () (tptp.leq @t2 (tptp.pred @t1))) % 0.51/0.70 (define @t15 () (forall @t6 (= @t14 @t4))) % 0.51/0.70 (define @t16 () (tptp.succ @t2)) % 0.51/0.70 (define @t17 () (tptp.succ @t1)) % 0.51/0.70 (define @t18 () (@var "C" $$unsorted)) % 0.51/0.70 (define @t19 () (tptp.uniform_int_rnd @t18 @t2)) % 0.51/0.70 (define @t20 () (tptp.leq tptp.n0 @t2)) % 0.51/0.70 (define @t21 () (@list @t2 @t18)) % 0.51/0.70 (define @t22 () (@var "Val" $$unsorted)) % 0.51/0.70 (define @t23 () (@var "I" $$unsorted)) % 0.51/0.70 (define @t24 () (@var "U" $$unsorted)) % 0.51/0.70 (define @t25 () (@var "L" $$unsorted)) % 0.51/0.70 (define @t26 () (tptp.leq @t23 @t24)) % 0.51/0.70 (define @t27 () (@var "J" $$unsorted)) % 0.51/0.70 (define @t28 () (@var "U2" $$unsorted)) % 0.51/0.70 (define @t29 () (@var "L2" $$unsorted)) % 0.51/0.70 (define @t30 () (@var "U1" $$unsorted)) % 0.51/0.70 (define @t31 () (@var "L1" $$unsorted)) % 0.51/0.70 (define @t32 () (@var "A" $$unsorted)) % 0.51/0.70 (define @t33 () (tptp.trans @t32)) % 0.51/0.70 (define @t34 () (@var "N" $$unsorted)) % 0.51/0.70 (define @t35 () (tptp.leq @t27 @t34)) % 0.51/0.70 (define @t36 () (tptp.leq tptp.n0 @t27)) % 0.51/0.70 (define @t37 () (tptp.leq @t23 @t34)) % 0.51/0.70 (define @t38 () (tptp.leq tptp.n0 @t23)) % 0.51/0.70 (define @t39 () (and @t38 @t37 @t36 @t35)) % 0.51/0.70 (define @t40 () (@list @t23 @t27)) % 0.51/0.70 (define @t41 () (forall @t40 (=> @t39 (= (tptp.a_select3 @t32 @t23 @t27) (tptp.a_select3 @t32 @t27 @t23))))) % 0.51/0.70 (define @t42 () (@list @t32 @t34)) % 0.51/0.70 (define @t43 () (tptp.inv @t32)) % 0.51/0.70 (define @t44 () (@var "VAL" $$unsorted)) % 0.51/0.70 (define @t45 () (@var "K" $$unsorted)) % 0.51/0.70 (define @t46 () (tptp.tptp_update3 @t32 @t45 @t45 @t44)) % 0.51/0.70 (define @t47 () (@var "B" $$unsorted)) % 0.51/0.70 (define @t48 () (tptp.tptp_madd @t32 @t47)) % 0.51/0.70 (define @t49 () (= (tptp.a_select3 @t47 @t23 @t27) (tptp.a_select3 @t47 @t27 @t23))) % 0.51/0.70 (define @t50 () (forall @t40 (=> @t39 @t49))) % 0.51/0.70 (define @t51 () (and @t41 @t50)) % 0.51/0.70 (define @t52 () (@list @t32 @t47 @t34)) % 0.51/0.70 (define @t53 () (tptp.tptp_msub @t32 @t47)) % 0.51/0.70 (define @t54 () (tptp.tptp_mmul @t32 (tptp.tptp_mmul @t47 @t33))) % 0.51/0.70 (define @t55 () (forall @t40 (=> @t39 (= (tptp.a_select3 @t54 @t23 @t27) (tptp.a_select3 @t54 @t27 @t23))))) % 0.51/0.70 (define @t56 () (@var "M" $$unsorted)) % 0.51/0.70 (define @t57 () (and @t38 (tptp.leq @t23 @t56) @t36 (tptp.leq @t27 @t56))) % 0.51/0.70 (define @t58 () (@var "E" $$unsorted)) % 0.51/0.70 (define @t59 () (@var "F" $$unsorted)) % 0.51/0.70 (define @t60 () (@var "D" $$unsorted)) % 0.51/0.70 (define @t61 () (tptp.tptp_madd @t32 (tptp.tptp_mmul @t47 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t18 (tptp.tptp_mmul @t60 (tptp.trans @t18))) (tptp.tptp_mmul @t58 (tptp.tptp_mmul @t59 (tptp.trans @t58)))) (tptp.trans @t47))))) % 0.51/0.70 (define @t62 () (@var "Body" $$unsorted)) % 0.51/0.70 (define @t63 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t62)) % 0.51/0.70 (define @t64 () (@list @t62)) % 0.51/0.70 (define @t65 () (tptp.succ @t16)) % 0.51/0.70 (define @t66 () (tptp.succ @t65)) % 0.51/0.70 (define @t67 () (tptp.succ @t66)) % 0.51/0.70 (define @t68 () (tptp.succ @t67)) % 0.51/0.70 (define @t69 () (tptp.pred @t2)) % 0.51/0.70 (define @t70 () (@var "V" $$unsorted)) % 0.51/0.70 (define @t71 () (tptp.tptp_update3 @t2 @t24 @t70 @t44)) % 0.51/0.70 (define @t72 () (@var "VAL2" $$unsorted)) % 0.51/0.70 (define @t73 () (not (= @t23 @t24))) % 0.51/0.70 (define @t74 () (@var "J0" $$unsorted)) % 0.51/0.70 (define @t75 () (@var "I0" $$unsorted)) % 0.51/0.70 (define @t76 () (tptp.leq @t75 @t24)) % 0.51/0.70 (define @t77 () (tptp.leq tptp.n0 @t75)) % 0.51/0.70 (define @t78 () (tptp.tptp_update2 @t2 @t24 @t44)) % 0.51/0.70 (define @t79 () (tptp.a_select3 tptp.u_defuse @t58 @t59)) % 0.51/0.70 (define @t80 () (= tptp.pv5 @t59)) % 0.51/0.70 (define @t81 () (and (= tptp.n2 @t58) @t80)) % 0.51/0.70 (define @t82 () (not @t81)) % 0.51/0.70 (define @t83 () (and (= tptp.n1 @t58) @t80)) % 0.51/0.70 (define @t84 () (not @t83)) % 0.51/0.70 (define @t85 () (= tptp.n0 @t58)) % 0.51/0.70 (define @t86 () (and @t85 @t80)) % 0.51/0.70 (define @t87 () (not @t86)) % 0.51/0.70 (define @t88 () (and @t87 @t84 @t82)) % 0.51/0.70 (define @t89 () (=> @t88 (= @t79 tptp.use))) % 0.51/0.70 (define @t90 () (tptp.leq @t59 tptp.pv5)) % 0.51/0.70 (define @t91 () (tptp.leq @t58 tptp.n2)) % 0.51/0.70 (define @t92 () (tptp.leq tptp.n0 @t59)) % 0.51/0.70 (define @t93 () (tptp.leq tptp.n0 @t58)) % 0.51/0.70 (define @t94 () (and @t93 @t92 @t91 @t90)) % 0.51/0.70 (define @t95 () (=> @t94 @t89)) % 0.51/0.70 (define @t96 () (@list @t58 @t59)) % 0.51/0.70 (define @t97 () (forall @t96 @t95)) % 0.51/0.70 (define @t98 () (tptp.a_select3 tptp.z_defuse @t18 @t60)) % 0.51/0.70 (define @t99 () (tptp.pred tptp.pv5)) % 0.51/0.70 (define @t100 () (tptp.leq @t60 @t99)) % 0.51/0.70 (define @t101 () (tptp.leq @t18 tptp.n2)) % 0.51/0.70 (define @t102 () (tptp.leq tptp.n0 @t60)) % 0.51/0.70 (define @t103 () (tptp.leq tptp.n0 @t18)) % 0.51/0.70 (define @t104 () (and @t103 @t102 @t101 @t100)) % 0.51/0.70 (define @t105 () (=> @t104 (= @t98 tptp.use))) % 0.51/0.70 (define @t106 () (@list @t18 @t60)) % 0.51/0.70 (define @t107 () (forall @t106 @t105)) % 0.51/0.70 (define @t108 () (tptp.a_select3 tptp.u_defuse @t32 @t47)) % 0.51/0.70 (define @t109 () (tptp.leq @t47 @t99)) % 0.51/0.70 (define @t110 () (tptp.leq @t32 tptp.n2)) % 0.51/0.70 (define @t111 () (tptp.leq tptp.n0 @t47)) % 0.51/0.70 (define @t112 () (tptp.leq tptp.n0 @t32)) % 0.51/0.70 (define @t113 () (and @t112 @t111 @t110 @t109)) % 0.51/0.70 (define @t114 () (=> @t113 (= @t108 tptp.use))) % 0.51/0.70 (define @t115 () (@list @t32 @t47)) % 0.51/0.70 (define @t116 () (forall @t115 @t114)) % 0.51/0.70 (define @t117 () (tptp.gt tptp.pv5 tptp.n0)) % 0.51/0.70 (define @t118 () (tptp.leq tptp.pv5 tptp.n998)) % 0.51/0.70 (define @t119 () (tptp.leq tptp.n0 tptp.pv5)) % 0.51/0.70 (define @t120 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n5)) % 0.51/0.70 (define @t121 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n4)) % 0.51/0.70 (define @t122 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n3)) % 0.51/0.70 (define @t123 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n2)) % 0.51/0.70 (define @t124 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n1)) % 0.51/0.70 (define @t125 () (tptp.a_select2 tptp.xinit_noise_defuse tptp.n0)) % 0.51/0.70 (define @t126 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n5)) % 0.51/0.70 (define @t127 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n4)) % 0.51/0.70 (define @t128 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n3)) % 0.51/0.70 (define @t129 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n2)) % 0.51/0.70 (define @t130 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n1)) % 0.51/0.70 (define @t131 () (tptp.a_select2 tptp.xinit_mean_defuse tptp.n0)) % 0.51/0.70 (define @t132 () (tptp.a_select2 tptp.xinit_defuse tptp.n5)) % 0.51/0.70 (define @t133 () (tptp.a_select2 tptp.xinit_defuse tptp.n4)) % 0.51/0.70 (define @t134 () (tptp.a_select2 tptp.xinit_defuse tptp.n3)) % 0.51/0.70 (define @t135 () (tptp.a_select3 tptp.u_defuse tptp.n2 tptp.n0)) % 0.51/0.70 (define @t136 () (tptp.a_select3 tptp.u_defuse tptp.n1 tptp.n0)) % 0.51/0.70 (define @t137 () (tptp.a_select3 tptp.u_defuse tptp.n0 tptp.n0)) % 0.51/0.70 (define @t138 () (tptp.a_select2 tptp.sigma_defuse tptp.n5)) % 0.51/0.70 (define @t139 () (tptp.a_select2 tptp.sigma_defuse tptp.n4)) % 0.51/0.70 (define @t140 () (tptp.a_select2 tptp.sigma_defuse tptp.n3)) % 0.51/0.70 (define @t141 () (tptp.a_select2 tptp.sigma_defuse tptp.n2)) % 0.51/0.70 (define @t142 () (tptp.a_select2 tptp.sigma_defuse tptp.n1)) % 0.51/0.70 (define @t143 () (tptp.a_select2 tptp.sigma_defuse tptp.n0)) % 0.51/0.70 (define @t144 () (tptp.a_select2 tptp.rho_defuse tptp.n2)) % 0.51/0.70 (define @t145 () (tptp.a_select2 tptp.rho_defuse tptp.n1)) % 0.51/0.70 (define @t146 () (tptp.a_select2 tptp.rho_defuse tptp.n0)) % 0.51/0.70 (define @t147 () (and (= @t146 tptp.use) (= @t145 tptp.use) (= @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 @t118 @t117 @t116 @t107)) % 0.51/0.70 (define @t148 () (=> @t147 @t97)) % 0.51/0.70 (define @t149 () (not @t148)) % 0.51/0.70 (define @t150 () (= @t2 tptp.n4)) % 0.51/0.70 (define @t151 () (= @t2 tptp.n3)) % 0.51/0.70 (define @t152 () (= @t2 tptp.n2)) % 0.51/0.70 (define @t153 () (= @t2 tptp.n1)) % 0.51/0.70 (define @t154 () (= @t2 tptp.n0)) % 0.51/0.70 (define @t155 () (or @t154 @t153 @t152)) % 0.51/0.70 (define @t156 () (tptp.leq @t2 tptp.n2)) % 0.51/0.70 (define @t157 () (and @t20 @t156)) % 0.51/0.70 (define @t158 () (forall @t9 (=> @t157 @t155))) % 0.51/0.70 (define @t159 () (tptp.succ tptp.n0)) % 0.51/0.70 (define @t160 () (tptp.succ @t159)) % 0.51/0.70 (define @t161 () (tptp.succ @t160)) % 0.51/0.70 (define @t162 () (tptp.succ @t161)) % 0.51/0.70 (define @t163 () (not @t10)) % 0.51/0.70 (define @t164 () (or @t163 @t3 @t4)) % 0.51/0.70 (define @t165 () (= tptp.use @t79)) % 0.51/0.70 (define @t166 () (= @t59 tptp.pv5)) % 0.51/0.70 (define @t167 () (and (= @t58 tptp.n2) @t166)) % 0.51/0.70 (define @t168 () (and (= @t58 tptp.n1) @t166)) % 0.51/0.70 (define @t169 () (and @t85 @t166)) % 0.51/0.70 (define @t170 () (not @t90)) % 0.51/0.70 (define @t171 () (not @t91)) % 0.51/0.70 (define @t172 () (not @t92)) % 0.51/0.70 (define @t173 () (not @t93)) % 0.51/0.70 (define @t174 () (or @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t165)) % 0.51/0.70 (define @t175 () (forall @t96 @t174)) % 0.51/0.70 (define @t176 () (@quantifiers_skolemize @t175 1)) % 0.51/0.70 (define @t177 () (tptp.gt tptp.pv5 @t176)) % 0.51/0.70 (define @t178 () (tptp.leq @t176 tptp.pv5)) % 0.51/0.70 (define @t179 () (not @t178)) % 0.51/0.70 (define @t180 () (= @t176 tptp.pv5)) % 0.51/0.70 (define @t181 () (or @t179 @t180 @t177)) % 0.51/0.70 (define @t182 () (forall @t6 @t164)) % 0.51/0.70 (define @t183 () (@list @t176 tptp.pv5)) % 0.51/0.70 (define @t184 () (= tptp.pv5 @t176)) % 0.51/0.70 (define @t185 () (or @t179 @t184 @t177)) % 0.51/0.70 (define @t186 () (@list false)) % 0.51/0.70 (define @t187 () (or @t169 @t168 @t167 @t165)) % 0.51/0.70 (define @t188 () (or @t173 @t172 @t171 @t170)) % 0.51/0.70 (define @t189 () (not @t167)) % 0.51/0.70 (define @t190 () (not @t189)) % 0.51/0.70 (define @t191 () (not @t168)) % 0.51/0.70 (define @t192 () (not @t191)) % 0.51/0.70 (define @t193 () (not @t169)) % 0.51/0.70 (define @t194 () (not @t193)) % 0.51/0.70 (define @t195 () (or @t194 @t192 @t190)) % 0.51/0.70 (define @t196 () (and @t193 @t191 @t189)) % 0.51/0.70 (define @t197 () (=> @t196 @t165)) % 0.51/0.70 (define @t198 () (= tptp.use @t98)) % 0.51/0.70 (define @t199 () (not @t100)) % 0.51/0.70 (define @t200 () (not @t101)) % 0.51/0.70 (define @t201 () (not @t102)) % 0.51/0.70 (define @t202 () (not @t103)) % 0.51/0.70 (define @t203 () (or @t202 @t201 @t200 @t199)) % 0.51/0.70 (define @t204 () (= tptp.use @t108)) % 0.51/0.70 (define @t205 () (not @t109)) % 0.51/0.70 (define @t206 () (not @t110)) % 0.51/0.70 (define @t207 () (not @t111)) % 0.51/0.70 (define @t208 () (not @t112)) % 0.51/0.70 (define @t209 () (or @t208 @t207 @t206 @t205)) % 0.51/0.70 (define @t210 () (@quantifiers_skolemize @t175 0)) % 0.51/0.70 (define @t211 () (= tptp.use (tptp.a_select3 tptp.u_defuse @t210 @t176))) % 0.51/0.70 (define @t212 () (= tptp.n2 @t210)) % 0.51/0.70 (define @t213 () (and @t212 @t184)) % 0.51/0.70 (define @t214 () (= tptp.n1 @t210)) % 0.51/0.70 (define @t215 () (and @t214 @t184)) % 0.51/0.70 (define @t216 () (= tptp.n0 @t210)) % 0.51/0.70 (define @t217 () (and @t216 @t184)) % 0.51/0.70 (define @t218 () (tptp.leq @t210 tptp.n2)) % 0.51/0.70 (define @t219 () (not @t218)) % 0.51/0.70 (define @t220 () (tptp.leq tptp.n0 @t176)) % 0.51/0.70 (define @t221 () (not @t220)) % 0.51/0.70 (define @t222 () (tptp.leq tptp.n0 @t210)) % 0.51/0.70 (define @t223 () (not @t222)) % 0.51/0.70 (define @t224 () (or @t223 @t221 @t219 @t179 @t217 @t215 @t213 @t211)) % 0.51/0.70 (define @t225 () (not @t224)) % 0.51/0.70 (define @t226 () (not @t175)) % 0.51/0.70 (define @t227 () (= @t210 tptp.n2)) % 0.51/0.70 (define @t228 () (and @t227 @t180)) % 0.51/0.70 (define @t229 () (= @t210 tptp.n1)) % 0.51/0.70 (define @t230 () (and @t229 @t180)) % 0.51/0.70 (define @t231 () (and @t216 @t180)) % 0.51/0.70 (define @t232 () (or @t223 @t221 @t219 @t179 @t231 @t230 @t228 @t211)) % 0.51/0.70 (define @t233 () (not @t232)) % 0.51/0.70 (define @t234 () (@list true)) % 0.51/0.70 (define @t235 () (@list @t224)) % 0.51/0.70 (define @t236 () (tptp.leq @t176 @t99)) % 0.51/0.70 (define @t237 () (not @t236)) % 0.51/0.70 (define @t238 () (or @t223 @t221 @t219 @t237 @t211)) % 0.51/0.70 (define @t239 () (= @t177 @t236)) % 0.51/0.70 (define @t240 () (not @t177)) % 0.51/0.70 (define @t241 () (@list true false)) % 0.51/0.70 (define @t242 () (not @t184)) % 0.51/0.70 (define @t243 () (not @t156)) % 0.51/0.70 (define @t244 () (not @t20)) % 0.51/0.70 (define @t245 () (or @t244 @t243 @t154 @t153 @t152)) % 0.51/0.70 (define @t246 () (or @t223 @t219 (= @t210 tptp.n0) @t229 @t227)) % 0.51/0.70 (define @t247 () (forall @t9 @t245)) % 0.51/0.70 (define @t248 () (or @t223 @t219 @t216 @t214 @t212)) % 0.51/0.70 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.51/0.70 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.51/0.70 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.51/0.70 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.51/0.70 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.51/0.70 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.51/0.70 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.51/0.70 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.51/0.70 (assume @p9 @t13) % 0.51/0.70 (assume @p10 @t15) % 0.51/0.70 (assume @p11 (forall @t9 (tptp.gt @t16 @t2))) % 0.51/0.70 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t17)))) % 0.51/0.70 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t17 @t2)))) % 0.51/0.70 (assume @p14 (forall @t21 (=> @t20 (tptp.leq @t19 @t2)))) % 0.51/0.70 (assume @p15 (forall @t21 (=> @t20 (tptp.leq tptp.n0 @t19)))) % 0.51/0.70 (assume @p16 (forall (@list @t23 @t25 @t24 @t22) (=> (and (tptp.leq @t25 @t23) @t26) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t25 @t24) @t22) @t23) @t22)))) % 0.51/0.70 (assume @p17 (forall (@list @t23 @t31 @t30 @t27 @t29 @t28 @t22) (=> (and (tptp.leq @t31 @t23) (tptp.leq @t23 @t30) (tptp.leq @t29 @t27) (tptp.leq @t27 @t28)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t31 @t30) (tptp.dim @t29 @t28) @t22) @t23 @t27) @t22)))) % 0.51/0.70 (assume @p18 (forall @t42 (=> @t41 (forall @t40 (=> @t39 (= (tptp.a_select3 @t33 @t23 @t27) (tptp.a_select3 @t33 @t27 @t23))))))) % 0.51/0.70 (assume @p19 (forall @t42 (=> @t41 (forall @t40 (=> @t39 (= (tptp.a_select3 @t43 @t23 @t27) (tptp.a_select3 @t43 @t27 @t23))))))) % 0.51/0.70 (assume @p20 (forall @t42 (=> @t41 (forall (@list @t23 @t27 @t45 @t44) (=> (and @t38 @t37 @t36 @t35 (tptp.leq tptp.n0 @t45) (tptp.leq @t45 @t34)) (= (tptp.a_select3 @t46 @t23 @t27) (tptp.a_select3 @t46 @t27 @t23))))))) % 0.51/0.70 (assume @p21 (forall @t52 (=> @t51 (forall @t40 (=> @t39 (= (tptp.a_select3 @t48 @t23 @t27) (tptp.a_select3 @t48 @t27 @t23))))))) % 0.51/0.70 (assume @p22 (forall @t52 (=> @t51 (forall @t40 (=> @t39 (= (tptp.a_select3 @t53 @t23 @t27) (tptp.a_select3 @t53 @t27 @t23))))))) % 0.51/0.70 (assume @p23 (forall @t52 (=> @t50 @t55))) % 0.51/0.70 (assume @p24 (forall (@list @t32 @t47 @t34 @t56) (=> (forall @t40 (=> @t57 @t49)) @t55))) % 0.51/0.70 (assume @p25 (forall (@list @t32 @t47 @t18 @t60 @t58 @t59 @t34 @t56) (=> (and (forall @t40 (=> @t57 (= (tptp.a_select3 @t60 @t23 @t27) (tptp.a_select3 @t60 @t27 @t23)))) @t41 (forall @t40 (=> @t39 (= (tptp.a_select3 @t59 @t23 @t27) (tptp.a_select3 @t59 @t27 @t23))))) (forall @t40 (=> @t39 (= (tptp.a_select3 @t61 @t23 @t27) (tptp.a_select3 @t61 @t27 @t23))))))) % 0.51/0.70 (assume @p26 (forall @t64 (= @t63 tptp.n0))) % 0.51/0.70 (assume @p27 (forall @t64 (= tptp.tptp_float_0_0 @t63))) % 0.51/0.70 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.51/0.70 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t16))) % 0.51/0.70 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t16))) % 0.51/0.70 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t65))) % 0.51/0.70 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t65))) % 0.51/0.70 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t66))) % 0.51/0.70 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t66))) % 0.51/0.70 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t67))) % 0.51/0.70 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t67))) % 0.51/0.70 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t68))) % 0.51/0.70 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t68))) % 0.51/0.70 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t69))) % 0.51/0.70 (assume @p40 (forall @t9 (= (tptp.pred @t16) @t2))) % 0.51/0.70 (assume @p41 (forall @t9 (= (tptp.succ @t69) @t2))) % 0.51/0.70 (assume @p42 (forall @t6 (= (tptp.leq @t16 @t17) @t10))) % 0.51/0.70 (assume @p43 (forall @t6 (=> (tptp.leq @t16 @t1) @t4))) % 0.51/0.70 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.51/0.70 (assume @p45 (forall (@list @t2 @t24 @t70 @t44) (= (tptp.a_select3 @t71 @t24 @t70) @t44))) % 0.51/0.70 (assume @p46 (forall (@list @t23 @t27 @t24 @t70 @t2 @t44 @t72) (=> (and @t73 (= @t27 @t70) (= (tptp.a_select3 @t2 @t24 @t70) @t44)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t23 @t27 @t72) @t24 @t70) @t44)))) % 0.51/0.70 (assume @p47 (forall (@list @t23 @t27 @t24 @t70 @t2 @t44) (=> (and (forall (@list @t75 @t74) (=> (and @t77 (tptp.leq tptp.n0 @t74) @t76 (tptp.leq @t74 @t70)) (= (tptp.a_select3 @t2 @t75 @t74) @t44))) @t38 @t26 @t36 (tptp.leq @t27 @t70)) (= (tptp.a_select3 @t71 @t23 @t27) @t44)))) % 0.51/0.70 (assume @p48 (forall (@list @t2 @t24 @t44) (= (tptp.a_select2 @t78 @t24) @t44))) % 0.51/0.70 (assume @p49 (forall (@list @t23 @t24 @t2 @t44 @t72) (=> (and @t73 (= (tptp.a_select2 @t2 @t24) @t44)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t23 @t72) @t24) @t44)))) % 0.51/0.70 (assume @p50 (forall (@list @t23 @t24 @t2 @t44) (=> (and (forall (@list @t75) (=> (and @t77 @t76) (= (tptp.a_select2 @t2 @t75) @t44))) @t38 @t26) (= (tptp.a_select2 @t78 @t23) @t44)))) % 0.51/0.70 (assume @p51 tptp.true) % 0.51/0.70 (assume @p52 (not (= tptp.def tptp.use))) % 0.51/0.70 (assume @p53 @t149) % 0.51/0.70 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.51/0.70 (assume @p55 (tptp.gt tptp.n998 tptp.n4)) % 0.51/0.70 (assume @p56 (tptp.gt tptp.n998 tptp.n5)) % 0.51/0.70 (assume @p57 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.51/0.70 (assume @p58 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.51/0.70 (assume @p59 (tptp.gt tptp.n998 tptp.tptp_minus_1)) % 0.51/0.70 (assume @p60 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.51/0.70 (assume @p61 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.51/0.70 (assume @p62 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.51/0.70 (assume @p63 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.51/0.70 (assume @p64 (tptp.gt tptp.n4 tptp.n0)) % 0.51/0.70 (assume @p65 (tptp.gt tptp.n5 tptp.n0)) % 0.51/0.70 (assume @p66 (tptp.gt tptp.n998 tptp.n0)) % 0.51/0.70 (assume @p67 (tptp.gt tptp.n1 tptp.n0)) % 0.51/0.70 (assume @p68 (tptp.gt tptp.n2 tptp.n0)) % 0.51/0.70 (assume @p69 (tptp.gt tptp.n3 tptp.n0)) % 0.51/0.70 (assume @p70 (tptp.gt tptp.n4 tptp.n1)) % 0.51/0.70 (assume @p71 (tptp.gt tptp.n5 tptp.n1)) % 0.51/0.70 (assume @p72 (tptp.gt tptp.n998 tptp.n1)) % 0.51/0.70 (assume @p73 (tptp.gt tptp.n2 tptp.n1)) % 0.51/0.70 (assume @p74 (tptp.gt tptp.n3 tptp.n1)) % 0.51/0.70 (assume @p75 (tptp.gt tptp.n4 tptp.n2)) % 0.51/0.70 (assume @p76 (tptp.gt tptp.n5 tptp.n2)) % 0.51/0.70 (assume @p77 (tptp.gt tptp.n998 tptp.n2)) % 0.51/0.70 (assume @p78 (tptp.gt tptp.n3 tptp.n2)) % 0.51/0.70 (assume @p79 (tptp.gt tptp.n4 tptp.n3)) % 0.51/0.70 (assume @p80 (tptp.gt tptp.n5 tptp.n3)) % 0.51/0.70 (assume @p81 (tptp.gt tptp.n998 tptp.n3)) % 0.51/0.70 (assume @p82 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n4)) (or @t154 @t153 @t152 @t151 @t150)))) % 0.51/0.70 (assume @p83 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n5)) (or @t154 @t153 @t152 @t151 @t150 (= @t2 tptp.n5))))) % 0.51/0.70 (assume @p84 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n0)) @t154))) % 0.51/0.70 (assume @p85 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n1)) (or @t154 @t153)))) % 0.51/0.70 (assume @p86 @t158) % 0.51/0.70 (assume @p87 (forall @t9 (=> (and @t20 (tptp.leq @t2 tptp.n3)) (or @t154 @t153 @t152 @t151)))) % 0.51/0.70 (assume @p88 (= @t162 tptp.n4)) % 0.51/0.70 (assume @p89 (= (tptp.succ @t162) tptp.n5)) % 0.51/0.70 (assume @p90 (= @t159 tptp.n1)) % 0.51/0.70 (assume @p91 (= @t160 tptp.n2)) % 0.51/0.70 (assume @p92 (= @t161 tptp.n3)) % 0.51/0.70 (assume @p93 true) % 0.51/0.70 (step @p94 :rule aci_norm :args ((= (or (or @t163 @t3) @t4) @t164))) % 0.51/0.70 (step @p95 :rule refl :args (@t4)) % 0.51/0.70 (step @p96 :rule bool-double-not-elim :args (@t3)) % 0.51/0.70 (step @p97 :rule refl :args (@t163)) % 0.51/0.70 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t163 (not @t11)))) % 0.51/0.70 (step @p99 :rule bool-and-de-morgan :args (@t10 @t11 true)) % 0.51/0.70 (step @p100 :rule trans :premises (@p99 @p98)) % 0.51/0.70 (step @p101 :rule nary_cong :premises (@p100 @p95) :args ((or (not @t12) @t4))) % 0.51/0.70 (step @p102 :rule trans :premises (@p101 @p94)) % 0.51/0.70 (step @p103 :rule bool-impl-elim :args (@t12 @t4)) % 0.51/0.70 (step @p104 :rule trans :premises (@p103 @p102)) % 0.51/0.70 (step @p105 :rule cong :premises (@p104) :args (@t13)) % 0.51/0.70 (step @p106 :rule eq_resolve :premises (@p9 @p105)) % 0.51/0.70 (step @p107 :rule refl :args (@t177)) % 0.51/0.70 (step @p108 :rule eq-symm :args (@t176 tptp.pv5)) % 0.51/0.70 (step @p109 :rule refl :args (@t179)) % 0.51/0.70 (step @p110 :rule nary_cong :premises (@p109 @p108 @p107) :args (@t181)) % 0.51/0.70 (step @p111 :rule refl :args (@t182)) % 0.51/0.70 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t182 @t181))) % 0.51/0.70 (assume-push @p357 @t182) % 0.51/0.70 (step @p114 :rule instantiate :premises (@p106) :args (@t183)) % 0.51/0.70 (step-pop @p358 :rule scope :premises (@p114)) % 0.51/0.70 (step @p115 :rule process_scope :premises (@p358) :args (@t181)) % 0.51/0.70 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 0.51/0.70 (step @p118 :rule implies_elim :premises (@p117)) % 0.51/0.70 (step @p119 :rule chain_m_resolution :premises (@p118 @p106) :args (@t185 @t186 (@list @t182))) % 0.51/0.70 (step @p120 :rule eq-symm :args (@t14 @t4)) % 0.51/0.70 (step @p121 :rule cong :premises (@p120) :args (@t15)) % 0.51/0.70 (step @p122 :rule eq_resolve :premises (@p10 @p121)) % 0.51/0.70 (step @p123 :rule instantiate :premises (@p122) :args (@t183)) % 0.51/0.70 (step @p124 :rule aci_norm :args ((= (or @t188 @t187) @t174))) % 0.51/0.70 (step @p125 :rule aci_norm :args ((= (or (or @t169 @t168 @t167) @t165) @t187))) % 0.51/0.70 (step @p126 :rule refl :args (@t165)) % 0.51/0.70 (step @p127 :rule bool-double-not-elim :args (@t167)) % 0.51/0.70 (step @p128 :rule bool-double-not-elim :args (@t168)) % 0.51/0.70 (step @p129 :rule bool-double-not-elim :args 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0.51/0.71 (step @p321 :rule cnf_or_neg :args (@t224 4)) % 0.51/0.71 (step @p322 :rule chain_m_resolution :premises (@p321 @p284) :args ((not @t217) @t234 @t235)) % 0.51/0.71 (step @p323 :rule cnf_and_neg :args (@t217)) % 0.51/0.71 (step @p324 :rule chain_m_resolution :premises (@p323 @p322 @p320) :args ((not @t216) @t241 (@list @t217 @t184))) % 0.51/0.71 (step @p325 :rule cnf_or_neg :args (@t224 5)) % 0.51/0.71 (step @p326 :rule chain_m_resolution :premises (@p325 @p284) :args ((not @t215) @t234 @t235)) % 0.51/0.71 (step @p327 :rule cnf_and_neg :args (@t215)) % 0.51/0.71 (step @p328 :rule reordering :premises (@p327) :args ((or @t215 @t242 (not @t214)))) % 0.51/0.71 (step @p329 :rule cnf_or_neg :args (@t224 6)) % 0.51/0.71 (step @p330 :rule chain_m_resolution :premises (@p329 @p284) :args ((not @t213) @t234 @t235)) % 0.51/0.71 (step @p331 :rule cnf_and_neg :args (@t213)) % 0.51/0.71 (step @p332 :rule reordering :premises (@p331) :args ((or @t213 @t242 (not @t212)))) % 0.51/0.71 (step @p333 :rule aci_norm :args ((= (or (or @t244 @t243) @t155) @t245))) % 0.51/0.71 (step @p334 :rule refl :args (@t155)) % 0.51/0.71 (step @p335 :rule bool-and-de-morgan :args (@t20 @t156 true)) % 0.51/0.71 (step @p336 :rule nary_cong :premises (@p335 @p334) :args ((or (not @t157) @t155))) % 0.51/0.71 (step @p337 :rule trans :premises (@p336 @p333)) % 0.51/0.71 (step @p338 :rule bool-impl-elim :args (@t157 @t155)) % 0.51/0.71 (step @p339 :rule trans :premises (@p338 @p337)) % 0.51/0.71 (step @p340 :rule cong :premises (@p339) :args (@t158)) % 0.51/0.71 (step @p341 :rule eq_resolve :premises (@p86 @p340)) % 0.51/0.71 (step @p342 :rule eq-symm :args (@t210 tptp.n0)) % 0.51/0.71 (step @p343 :rule nary_cong :premises (@p272 @p270 @p342 @p266 @p264) :args (@t246)) % 0.51/0.71 (step @p344 :rule refl :args (@t247)) % 0.51/0.71 (step @p345 :rule cong :premises (@p344 @p343) :args ((=> @t247 @t246))) % 0.51/0.71 (assume-push @p361 @t247) % 0.51/0.71 (step @p347 :rule instantiate :premises (@p341) :args ((@list @t210))) % 0.51/0.71 (step-pop @p362 :rule scope :premises (@p347)) % 0.51/0.71 (step @p348 :rule process_scope :premises (@p362) :args (@t246)) % 0.51/0.71 (step @p350 :rule eq_resolve :premises (@p348 @p345)) % 0.51/0.71 (step @p351 :rule implies_elim :premises (@p350)) % 0.51/0.71 (step @p352 :rule chain_m_resolution :premises (@p351 @p341) :args (@t248 @t186 (@list @t247))) % 0.51/0.71 (step @p353 :rule cnf_or_pos :args (@t248)) % 0.51/0.71 (step @p354 :rule reordering :premises (@p353) :args ((or @t223 @t219 @t216 @t214 @t212 (not @t248)))) % 0.51/0.71 (step @p355 :rule chain_m_resolution :premises (@p354 @p352 @p293 @p305 @p332 @p330 @p328 @p326) :args ((or @t216 @t242) (@list false false false true true true true) (@list @t248 @t218 @t222 @t212 @t213 @t214 @t215))) % 0.51/0.71 (step @p356 false :rule chain_m_resolution :premises (@p355 @p324 @p320) :args (false @t241 (@list @t216 @t184))) % 0.51/0.71 ) % 0.51/0.71 % SZS output end Proof % 0.51/0.71 % cvc5 exiting %------------------------------------------------------------------------------