%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV025+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 : n008.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 09:00:22 AM UTC 2026 % Result : Theorem 0.36s 0.63s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV025+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n008.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:53:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.63 % SZS status Theorem % 0.36/0.63 % SZS output start Proof % 0.36/0.63 ( % 0.36/0.63 (declare-sort $$unsorted 0) % 0.36/0.63 (declare-const tptp.pv7 $$unsorted) % 0.36/0.63 (declare-const tptp.s_worst7_init $$unsorted) % 0.36/0.63 (declare-const tptp.s_best7 $$unsorted) % 0.36/0.63 (declare-const tptp.pv19 $$unsorted) % 0.36/0.63 (declare-const tptp.pv20 $$unsorted) % 0.36/0.63 (declare-const tptp.simplex7_init $$unsorted) % 0.36/0.63 (declare-const tptp.s_values7_init $$unsorted) % 0.36/0.63 (declare-const tptp.s_try7_init $$unsorted) % 0.36/0.63 (declare-const tptp.loopcounter $$unsorted) % 0.36/0.63 (declare-const tptp.pvar1402_init $$unsorted) % 0.36/0.63 (declare-const tptp.init $$unsorted) % 0.36/0.63 (declare-const tptp.def $$unsorted) % 0.36/0.63 (declare-const tptp.use $$unsorted) % 0.36/0.63 (declare-const tptp.true Bool) % 0.36/0.63 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.s_worst7 $$unsorted) % 0.36/0.63 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.n330 $$unsorted) % 0.36/0.63 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.s_sworst7_init $$unsorted) % 0.36/0.63 (declare-const tptp.n3 $$unsorted) % 0.36/0.63 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.pvar1400_init $$unsorted) % 0.36/0.63 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.36/0.63 (declare-const tptp.n0 $$unsorted) % 0.36/0.63 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.n1 $$unsorted) % 0.36/0.63 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.pvar1401_init $$unsorted) % 0.36/0.63 (declare-const tptp.n5 $$unsorted) % 0.36/0.63 (declare-const tptp.s_best7_init $$unsorted) % 0.36/0.63 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.s_sworst7 $$unsorted) % 0.36/0.63 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.36/0.63 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.s_center7_init $$unsorted) % 0.36/0.63 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.63 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.36/0.63 (declare-const tptp.n410 $$unsorted) % 0.36/0.63 (declare-const tptp.n4 $$unsorted) % 0.36/0.63 (declare-const tptp.n2 $$unsorted) % 0.36/0.63 (define @t1 () (@var "Y" $$unsorted)) % 0.36/0.63 (define @t2 () (@var "X" $$unsorted)) % 0.36/0.63 (define @t3 () (= @t2 @t1)) % 0.36/0.63 (define @t4 () (tptp.gt @t1 @t2)) % 0.36/0.63 (define @t5 () (tptp.gt @t2 @t1)) % 0.36/0.63 (define @t6 () (@list @t2 @t1)) % 0.36/0.63 (define @t7 () (@var "Z" $$unsorted)) % 0.36/0.63 (define @t8 () (@list @t2 @t1 @t7)) % 0.36/0.63 (define @t9 () (@list @t2)) % 0.36/0.63 (define @t10 () (tptp.leq @t2 @t1)) % 0.36/0.63 (define @t11 () (tptp.succ @t2)) % 0.36/0.63 (define @t12 () (tptp.succ @t1)) % 0.36/0.63 (define @t13 () (@var "C" $$unsorted)) % 0.36/0.63 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.36/0.63 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.36/0.63 (define @t16 () (@list @t2 @t13)) % 0.36/0.63 (define @t17 () (@var "Val" $$unsorted)) % 0.36/0.63 (define @t18 () (@var "I" $$unsorted)) % 0.36/0.63 (define @t19 () (@var "U" $$unsorted)) % 0.36/0.63 (define @t20 () (@var "L" $$unsorted)) % 0.36/0.63 (define @t21 () (tptp.leq @t18 @t19)) % 0.36/0.63 (define @t22 () (@var "J" $$unsorted)) % 0.36/0.63 (define @t23 () (@var "U2" $$unsorted)) % 0.36/0.63 (define @t24 () (@var "L2" $$unsorted)) % 0.36/0.63 (define @t25 () (@var "U1" $$unsorted)) % 0.36/0.63 (define @t26 () (@var "L1" $$unsorted)) % 0.36/0.63 (define @t27 () (@var "A" $$unsorted)) % 0.36/0.63 (define @t28 () (tptp.trans @t27)) % 0.36/0.63 (define @t29 () (@var "N" $$unsorted)) % 0.36/0.63 (define @t30 () (tptp.leq @t22 @t29)) % 0.36/0.63 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.36/0.63 (define @t32 () (tptp.leq @t18 @t29)) % 0.36/0.63 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.36/0.63 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.36/0.63 (define @t35 () (@list @t18 @t22)) % 0.36/0.63 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.36/0.63 (define @t37 () (@list @t27 @t29)) % 0.36/0.63 (define @t38 () (tptp.inv @t27)) % 0.36/0.63 (define @t39 () (@var "VAL" $$unsorted)) % 0.36/0.63 (define @t40 () (@var "K" $$unsorted)) % 0.36/0.63 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.36/0.63 (define @t42 () (@var "B" $$unsorted)) % 0.36/0.63 (define @t43 () (tptp.tptp_madd @t27 @t42)) % 0.36/0.63 (define @t44 () (= (tptp.a_select3 @t42 @t18 @t22) (tptp.a_select3 @t42 @t22 @t18))) % 0.36/0.63 (define @t45 () (forall @t35 (=> @t34 @t44))) % 0.36/0.63 (define @t46 () (and @t36 @t45)) % 0.36/0.63 (define @t47 () (@list @t27 @t42 @t29)) % 0.36/0.63 (define @t48 () (tptp.tptp_msub @t27 @t42)) % 0.36/0.63 (define @t49 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t42 @t28))) % 0.36/0.63 (define @t50 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))) % 0.36/0.63 (define @t51 () (@var "M" $$unsorted)) % 0.36/0.63 (define @t52 () (and @t33 (tptp.leq @t18 @t51) @t31 (tptp.leq @t22 @t51))) % 0.36/0.63 (define @t53 () (@var "E" $$unsorted)) % 0.36/0.63 (define @t54 () (@var "F" $$unsorted)) % 0.36/0.63 (define @t55 () (@var "D" $$unsorted)) % 0.36/0.63 (define @t56 () (tptp.tptp_madd @t27 (tptp.tptp_mmul @t42 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t13 (tptp.tptp_mmul @t55 (tptp.trans @t13))) (tptp.tptp_mmul @t53 (tptp.tptp_mmul @t54 (tptp.trans @t53)))) (tptp.trans @t42))))) % 0.36/0.63 (define @t57 () (@var "Body" $$unsorted)) % 0.36/0.63 (define @t58 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t57)) % 0.36/0.63 (define @t59 () (@list @t57)) % 0.36/0.63 (define @t60 () (tptp.succ @t11)) % 0.36/0.63 (define @t61 () (tptp.succ @t60)) % 0.36/0.63 (define @t62 () (tptp.succ @t61)) % 0.36/0.63 (define @t63 () (tptp.succ @t62)) % 0.36/0.63 (define @t64 () (tptp.pred @t2)) % 0.36/0.63 (define @t65 () (@var "V" $$unsorted)) % 0.36/0.63 (define @t66 () (tptp.tptp_update3 @t2 @t19 @t65 @t39)) % 0.36/0.63 (define @t67 () (@var "VAL2" $$unsorted)) % 0.36/0.63 (define @t68 () (not (= @t18 @t19))) % 0.36/0.63 (define @t69 () (@var "J0" $$unsorted)) % 0.36/0.63 (define @t70 () (@var "I0" $$unsorted)) % 0.36/0.63 (define @t71 () (tptp.leq @t70 @t19)) % 0.36/0.63 (define @t72 () (tptp.leq tptp.n0 @t70)) % 0.36/0.63 (define @t73 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.36/0.63 (define @t74 () (and (= tptp.pvar1400_init tptp.init) (= tptp.pvar1401_init tptp.init) (= tptp.pvar1402_init tptp.init))) % 0.36/0.63 (define @t75 () (tptp.gt tptp.loopcounter tptp.n1)) % 0.36/0.63 (define @t76 () (=> @t75 @t74)) % 0.36/0.63 (define @t77 () (tptp.a_select2 tptp.s_try7_init @t22)) % 0.36/0.63 (define @t78 () (tptp.minus tptp.n3 tptp.n1)) % 0.36/0.63 (define @t79 () (tptp.leq @t22 @t78)) % 0.36/0.63 (define @t80 () (and @t31 @t79)) % 0.36/0.63 (define @t81 () (=> @t80 (= @t77 tptp.init))) % 0.36/0.63 (define @t82 () (@list @t22)) % 0.36/0.63 (define @t83 () (forall @t82 @t81)) % 0.36/0.63 (define @t84 () (tptp.a_select2 tptp.s_center7_init @t18)) % 0.36/0.63 (define @t85 () (tptp.leq @t18 tptp.n2)) % 0.36/0.63 (define @t86 () (and @t33 @t85)) % 0.36/0.63 (define @t87 () (=> @t86 (= @t84 tptp.init))) % 0.36/0.63 (define @t88 () (@list @t18)) % 0.36/0.63 (define @t89 () (forall @t88 @t87)) % 0.36/0.63 (define @t90 () (@var "H" $$unsorted)) % 0.36/0.63 (define @t91 () (tptp.a_select2 tptp.s_values7_init @t90)) % 0.36/0.63 (define @t92 () (tptp.leq @t90 tptp.n3)) % 0.36/0.63 (define @t93 () (tptp.leq tptp.n0 @t90)) % 0.36/0.63 (define @t94 () (and @t93 @t92)) % 0.36/0.63 (define @t95 () (=> @t94 (= @t91 tptp.init))) % 0.36/0.63 (define @t96 () (@list @t90)) % 0.36/0.63 (define @t97 () (forall @t96 @t95)) % 0.36/0.63 (define @t98 () (@var "G" $$unsorted)) % 0.36/0.63 (define @t99 () (tptp.a_select3 tptp.simplex7_init @t98 @t54)) % 0.36/0.63 (define @t100 () (tptp.leq @t98 tptp.n3)) % 0.36/0.63 (define @t101 () (tptp.leq tptp.n0 @t98)) % 0.36/0.63 (define @t102 () (and @t101 @t100)) % 0.36/0.63 (define @t103 () (=> @t102 (= @t99 tptp.init))) % 0.36/0.63 (define @t104 () (@list @t98)) % 0.36/0.63 (define @t105 () (forall @t104 @t103)) % 0.36/0.63 (define @t106 () (tptp.leq @t54 tptp.n2)) % 0.36/0.63 (define @t107 () (tptp.leq tptp.n0 @t54)) % 0.36/0.63 (define @t108 () (and @t107 @t106)) % 0.36/0.63 (define @t109 () (=> @t108 @t105)) % 0.36/0.63 (define @t110 () (@list @t54)) % 0.36/0.63 (define @t111 () (forall @t110 @t109)) % 0.36/0.63 (define @t112 () (tptp.leq tptp.pv20 (tptp.minus tptp.n330 tptp.n1))) % 0.36/0.63 (define @t113 () (tptp.minus tptp.n410 tptp.n1)) % 0.36/0.63 (define @t114 () (tptp.leq tptp.pv19 @t113)) % 0.36/0.63 (define @t115 () (tptp.leq tptp.s_worst7 tptp.n3)) % 0.36/0.63 (define @t116 () (tptp.leq tptp.s_sworst7 tptp.n3)) % 0.36/0.63 (define @t117 () (tptp.leq tptp.s_best7 tptp.n3)) % 0.36/0.63 (define @t118 () (tptp.leq tptp.n0 tptp.pv20)) % 0.36/0.63 (define @t119 () (tptp.leq tptp.n0 tptp.pv19)) % 0.36/0.63 (define @t120 () (tptp.leq tptp.n0 tptp.s_worst7)) % 0.36/0.63 (define @t121 () (tptp.leq tptp.n0 tptp.s_sworst7)) % 0.36/0.63 (define @t122 () (tptp.leq tptp.n0 tptp.s_best7)) % 0.36/0.63 (define @t123 () (= tptp.s_worst7_init tptp.init)) % 0.36/0.63 (define @t124 () (= tptp.s_sworst7_init tptp.init)) % 0.36/0.63 (define @t125 () (= tptp.s_best7_init tptp.init)) % 0.36/0.63 (define @t126 () (= tptp.init tptp.init)) % 0.36/0.63 (define @t127 () (and @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t112 @t111 @t97 @t89 @t83 @t76)) % 0.36/0.63 (define @t128 () (tptp.a_select2 tptp.s_try7_init @t53)) % 0.36/0.63 (define @t129 () (tptp.leq @t53 @t78)) % 0.36/0.63 (define @t130 () (tptp.leq tptp.n0 @t53)) % 0.36/0.63 (define @t131 () (and @t130 @t129)) % 0.36/0.63 (define @t132 () (=> @t131 (= @t128 tptp.init))) % 0.36/0.63 (define @t133 () (@list @t53)) % 0.36/0.63 (define @t134 () (forall @t133 @t132)) % 0.36/0.63 (define @t135 () (tptp.a_select2 tptp.s_center7_init @t55)) % 0.36/0.63 (define @t136 () (tptp.leq @t55 tptp.n2)) % 0.36/0.63 (define @t137 () (tptp.leq tptp.n0 @t55)) % 0.36/0.63 (define @t138 () (and @t137 @t136)) % 0.36/0.63 (define @t139 () (=> @t138 (= @t135 tptp.init))) % 0.36/0.63 (define @t140 () (@list @t55)) % 0.36/0.63 (define @t141 () (forall @t140 @t139)) % 0.36/0.63 (define @t142 () (tptp.a_select2 tptp.s_values7_init @t13)) % 0.36/0.63 (define @t143 () (tptp.leq @t13 tptp.n3)) % 0.36/0.63 (define @t144 () (tptp.leq tptp.n0 @t13)) % 0.36/0.63 (define @t145 () (and @t144 @t143)) % 0.36/0.63 (define @t146 () (=> @t145 (= @t142 tptp.init))) % 0.36/0.63 (define @t147 () (@list @t13)) % 0.36/0.63 (define @t148 () (forall @t147 @t146)) % 0.36/0.63 (define @t149 () (tptp.a_select3 tptp.simplex7_init @t42 @t27)) % 0.36/0.63 (define @t150 () (tptp.leq @t42 tptp.n3)) % 0.36/0.63 (define @t151 () (tptp.leq tptp.n0 @t42)) % 0.36/0.63 (define @t152 () (and @t151 @t150)) % 0.36/0.63 (define @t153 () (=> @t152 (= @t149 tptp.init))) % 0.36/0.63 (define @t154 () (@list @t42)) % 0.36/0.63 (define @t155 () (forall @t154 @t153)) % 0.36/0.63 (define @t156 () (tptp.leq @t27 tptp.n2)) % 0.36/0.63 (define @t157 () (tptp.leq tptp.n0 @t27)) % 0.36/0.63 (define @t158 () (and @t157 @t156)) % 0.36/0.63 (define @t159 () (=> @t158 @t155)) % 0.36/0.63 (define @t160 () (@list @t27)) % 0.36/0.63 (define @t161 () (forall @t160 @t159)) % 0.36/0.63 (define @t162 () (tptp.leq tptp.pv7 @t113)) % 0.36/0.63 (define @t163 () (tptp.leq tptp.n0 tptp.pv7)) % 0.36/0.63 (define @t164 () (and @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t163 @t119 @t118 @t117 @t116 @t115 @t162 @t114 @t112 @t161 @t148 @t141 @t134 @t76)) % 0.36/0.63 (define @t165 () (=> @t164 @t127)) % 0.36/0.63 (define @t166 () (not @t165)) % 0.36/0.63 (define @t167 () (= @t2 tptp.n4)) % 0.36/0.63 (define @t168 () (= @t2 tptp.n3)) % 0.36/0.63 (define @t169 () (= @t2 tptp.n2)) % 0.36/0.63 (define @t170 () (= @t2 tptp.n1)) % 0.36/0.63 (define @t171 () (= @t2 tptp.n0)) % 0.36/0.63 (define @t172 () (tptp.succ tptp.n0)) % 0.36/0.63 (define @t173 () (tptp.succ @t172)) % 0.36/0.63 (define @t174 () (tptp.succ @t173)) % 0.36/0.63 (define @t175 () (tptp.succ @t174)) % 0.36/0.63 (define @t176 () (and (= tptp.init tptp.pvar1400_init) (= tptp.init tptp.pvar1401_init) (= tptp.init tptp.pvar1402_init))) % 0.36/0.63 (define @t177 () (=> @t75 @t176)) % 0.36/0.63 (define @t178 () (= tptp.init @t77)) % 0.36/0.63 (define @t179 () (not @t79)) % 0.36/0.63 (define @t180 () (not @t31)) % 0.36/0.63 (define @t181 () (or @t180 @t179 @t178)) % 0.36/0.63 (define @t182 () (forall @t82 @t181)) % 0.36/0.63 (define @t183 () (= tptp.init @t84)) % 0.36/0.63 (define @t184 () (not @t85)) % 0.36/0.63 (define @t185 () (not @t33)) % 0.36/0.63 (define @t186 () (or @t185 @t184 @t183)) % 0.36/0.63 (define @t187 () (forall @t88 @t186)) % 0.36/0.63 (define @t188 () (= tptp.init @t91)) % 0.36/0.63 (define @t189 () (not @t92)) % 0.36/0.63 (define @t190 () (not @t93)) % 0.36/0.63 (define @t191 () (or @t190 @t189 @t188)) % 0.36/0.63 (define @t192 () (forall @t96 @t191)) % 0.36/0.63 (define @t193 () (@var "BOUND_VARIABLE_8551" $$unsorted)) % 0.36/0.63 (define @t194 () (= tptp.init (tptp.a_select3 tptp.simplex7_init @t193 @t54))) % 0.36/0.63 (define @t195 () (not (tptp.leq @t193 tptp.n3))) % 0.36/0.63 (define @t196 () (not (tptp.leq tptp.n0 @t193))) % 0.36/0.63 (define @t197 () (not @t106)) % 0.36/0.63 (define @t198 () (not @t107)) % 0.36/0.63 (define @t199 () (or @t198 @t197 @t196 @t195 @t194)) % 0.36/0.63 (define @t200 () (@list @t54 @t193)) % 0.36/0.63 (define @t201 () (forall @t200 @t199)) % 0.36/0.63 (define @t202 () (= tptp.init tptp.s_worst7_init)) % 0.36/0.63 (define @t203 () (= tptp.init tptp.s_sworst7_init)) % 0.36/0.63 (define @t204 () (= tptp.init tptp.s_best7_init)) % 0.36/0.63 (define @t205 () (or @t196 @t195 @t194)) % 0.36/0.63 (define @t206 () (or @t198 @t197 @t205)) % 0.36/0.63 (define @t207 () (forall @t200 @t206)) % 0.36/0.63 (define @t208 () (@list @t193)) % 0.36/0.63 (define @t209 () (forall @t208 @t206)) % 0.36/0.63 (define @t210 () (forall @t208 @t205)) % 0.36/0.63 (define @t211 () (or @t198 @t197 @t210)) % 0.36/0.63 (define @t212 () (= tptp.init @t99)) % 0.36/0.63 (define @t213 () (not @t100)) % 0.36/0.63 (define @t214 () (not @t101)) % 0.36/0.63 (define @t215 () (or @t214 @t213 @t212)) % 0.36/0.63 (define @t216 () (forall @t104 @t215)) % 0.36/0.63 (define @t217 () (or @t198 @t197 @t216)) % 0.36/0.63 (define @t218 () (= tptp.init @t128)) % 0.36/0.63 (define @t219 () (not @t129)) % 0.36/0.63 (define @t220 () (not @t130)) % 0.36/0.63 (define @t221 () (or @t220 @t219 @t218)) % 0.36/0.63 (define @t222 () (forall @t133 @t221)) % 0.36/0.63 (define @t223 () (= tptp.init @t135)) % 0.36/0.63 (define @t224 () (not @t136)) % 0.36/0.63 (define @t225 () (not @t137)) % 0.36/0.63 (define @t226 () (or @t225 @t224 @t223)) % 0.36/0.63 (define @t227 () (forall @t140 @t226)) % 0.36/0.63 (define @t228 () (= tptp.init @t142)) % 0.36/0.63 (define @t229 () (not @t143)) % 0.36/0.63 (define @t230 () (not @t144)) % 0.36/0.63 (define @t231 () (or @t230 @t229 @t228)) % 0.36/0.63 (define @t232 () (forall @t147 @t231)) % 0.36/0.63 (define @t233 () (@var "BOUND_VARIABLE_8486" $$unsorted)) % 0.36/0.63 (define @t234 () (= tptp.init (tptp.a_select3 tptp.simplex7_init @t233 @t27))) % 0.36/0.63 (define @t235 () (not (tptp.leq @t233 tptp.n3))) % 0.36/0.63 (define @t236 () (not (tptp.leq tptp.n0 @t233))) % 0.36/0.63 (define @t237 () (not @t156)) % 0.36/0.63 (define @t238 () (not @t157)) % 0.36/0.63 (define @t239 () (or @t238 @t237 @t236 @t235 @t234)) % 0.36/0.63 (define @t240 () (@list @t27 @t233)) % 0.36/0.63 (define @t241 () (forall @t240 @t239)) % 0.36/0.63 (define @t242 () (or @t236 @t235 @t234)) % 0.36/0.63 (define @t243 () (or @t238 @t237 @t242)) % 0.36/0.63 (define @t244 () (forall @t240 @t243)) % 0.36/0.63 (define @t245 () (@list @t233)) % 0.36/0.63 (define @t246 () (forall @t245 @t243)) % 0.36/0.63 (define @t247 () (forall @t245 @t242)) % 0.36/0.63 (define @t248 () (or @t238 @t237 @t247)) % 0.36/0.63 (define @t249 () (= tptp.init @t149)) % 0.36/0.63 (define @t250 () (not @t150)) % 0.36/0.63 (define @t251 () (not @t151)) % 0.36/0.63 (define @t252 () (or @t251 @t250 @t249)) % 0.36/0.63 (define @t253 () (forall @t154 @t252)) % 0.36/0.63 (define @t254 () (or @t238 @t237 @t253)) % 0.36/0.63 (define @t255 () (@list false)) % 0.36/0.63 (define @t256 () (@list true)) % 0.36/0.63 (define @t257 () (@list @t177)) % 0.36/0.63 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.36/0.63 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.36/0.63 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.36/0.63 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.36/0.63 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.36/0.63 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.36/0.63 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.36/0.63 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.36/0.63 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.36/0.63 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.36/0.63 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.36/0.63 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.36/0.63 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.36/0.63 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.36/0.63 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.36/0.63 (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)))) % 0.36/0.63 (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)))) % 0.36/0.63 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.36/0.63 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.36/0.63 (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))))))) % 0.36/0.63 (assume @p21 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))))))) % 0.36/0.63 (assume @p22 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t48 @t18 @t22) (tptp.a_select3 @t48 @t22 @t18))))))) % 0.36/0.63 (assume @p23 (forall @t47 (=> @t45 @t50))) % 0.36/0.63 (assume @p24 (forall (@list @t27 @t42 @t29 @t51) (=> (forall @t35 (=> @t52 @t44)) @t50))) % 0.36/0.63 (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))))))) % 0.36/0.63 (assume @p26 (forall @t59 (= @t58 tptp.n0))) % 0.36/0.63 (assume @p27 (forall @t59 (= tptp.tptp_float_0_0 @t58))) % 0.36/0.63 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.36/0.63 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.36/0.63 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t11))) % 0.36/0.63 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t60))) % 0.36/0.63 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t60))) % 0.36/0.63 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t61))) % 0.36/0.63 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t61))) % 0.36/0.63 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t62))) % 0.36/0.63 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t62))) % 0.36/0.63 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t63))) % 0.36/0.63 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t63))) % 0.36/0.63 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t64))) % 0.36/0.63 (assume @p40 (forall @t9 (= (tptp.pred @t11) @t2))) % 0.36/0.63 (assume @p41 (forall @t9 (= (tptp.succ @t64) @t2))) % 0.36/0.63 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.36/0.63 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.36/0.63 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.36/0.63 (assume @p45 (forall (@list @t2 @t19 @t65 @t39) (= (tptp.a_select3 @t66 @t19 @t65) @t39))) % 0.36/0.63 (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)))) % 0.36/0.63 (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)))) % 0.36/0.63 (assume @p48 (forall (@list @t2 @t19 @t39) (= (tptp.a_select2 @t73 @t19) @t39))) % 0.36/0.63 (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)))) % 0.36/0.63 (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)))) % 0.36/0.63 (assume @p51 tptp.true) % 0.36/0.63 (assume @p52 (not (= tptp.def tptp.use))) % 0.36/0.63 (assume @p53 @t166) % 0.36/0.63 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.36/0.63 (assume @p55 (tptp.gt tptp.n330 tptp.n4)) % 0.36/0.63 (assume @p56 (tptp.gt tptp.n410 tptp.n4)) % 0.36/0.63 (assume @p57 (tptp.gt tptp.n330 tptp.n5)) % 0.36/0.63 (assume @p58 (tptp.gt tptp.n410 tptp.n5)) % 0.36/0.63 (assume @p59 (tptp.gt tptp.n410 tptp.n330)) % 0.36/0.63 (assume @p60 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.36/0.63 (assume @p61 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.36/0.63 (assume @p62 (tptp.gt tptp.n330 tptp.tptp_minus_1)) % 0.36/0.63 (assume @p63 (tptp.gt tptp.n410 tptp.tptp_minus_1)) % 0.36/0.63 (assume @p64 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.36/0.63 (assume @p65 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.36/0.63 (assume @p66 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.36/0.63 (assume @p67 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.36/0.63 (assume @p68 (tptp.gt tptp.n4 tptp.n0)) % 0.36/0.63 (assume @p69 (tptp.gt tptp.n5 tptp.n0)) % 0.36/0.63 (assume @p70 (tptp.gt tptp.n330 tptp.n0)) % 0.36/0.63 (assume @p71 (tptp.gt tptp.n410 tptp.n0)) % 0.36/0.63 (assume @p72 (tptp.gt tptp.n1 tptp.n0)) % 0.36/0.63 (assume @p73 (tptp.gt tptp.n2 tptp.n0)) % 0.36/0.63 (assume @p74 (tptp.gt tptp.n3 tptp.n0)) % 0.36/0.63 (assume @p75 (tptp.gt tptp.n4 tptp.n1)) % 0.36/0.63 (assume @p76 (tptp.gt tptp.n5 tptp.n1)) % 0.36/0.63 (assume @p77 (tptp.gt tptp.n330 tptp.n1)) % 0.36/0.63 (assume @p78 (tptp.gt tptp.n410 tptp.n1)) % 0.36/0.63 (assume @p79 (tptp.gt tptp.n2 tptp.n1)) % 0.36/0.63 (assume @p80 (tptp.gt tptp.n3 tptp.n1)) % 0.36/0.63 (assume @p81 (tptp.gt tptp.n4 tptp.n2)) % 0.36/0.63 (assume @p82 (tptp.gt tptp.n5 tptp.n2)) % 0.36/0.63 (assume @p83 (tptp.gt tptp.n330 tptp.n2)) % 0.36/0.63 (assume @p84 (tptp.gt tptp.n410 tptp.n2)) % 0.36/0.63 (assume @p85 (tptp.gt tptp.n3 tptp.n2)) % 0.36/0.63 (assume @p86 (tptp.gt tptp.n4 tptp.n3)) % 0.36/0.63 (assume @p87 (tptp.gt tptp.n5 tptp.n3)) % 0.36/0.63 (assume @p88 (tptp.gt tptp.n330 tptp.n3)) % 0.36/0.63 (assume @p89 (tptp.gt tptp.n410 tptp.n3)) % 0.36/0.63 (assume @p90 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t171 @t170 @t169 @t168 @t167)))) % 0.36/0.63 (assume @p91 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t171 @t170 @t169 @t168 @t167 (= @t2 tptp.n5))))) % 0.36/0.63 (assume @p92 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t171))) % 0.36/0.63 (assume @p93 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t171 @t170)))) % 0.36/0.63 (assume @p94 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t171 @t170 @t169)))) % 0.36/0.63 (assume @p95 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t171 @t170 @t169 @t168)))) % 0.36/0.63 (assume @p96 (= @t175 tptp.n4)) % 0.36/0.63 (assume @p97 (= (tptp.succ @t175) tptp.n5)) % 0.36/0.63 (assume @p98 (= @t172 tptp.n1)) % 0.36/0.63 (assume @p99 (= @t173 tptp.n2)) % 0.36/0.63 (assume @p100 (= @t174 tptp.n3)) % 0.36/0.63 (assume @p101 true) % 0.36/0.63 (step @p102 :rule aci_norm :args ((= (and true @t204 @t203 @t202 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t112 @t201 @t192 @t187 @t182 @t177) (and @t204 @t203 @t202 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t112 @t201 @t192 @t187 @t182 @t177)))) % 0.36/0.63 (step @p103 :rule eq-symm :args (tptp.pvar1402_init tptp.init)) % 0.36/0.63 (step @p104 :rule eq-symm :args (tptp.pvar1401_init tptp.init)) % 0.36/0.63 (step @p105 :rule eq-symm :args (tptp.pvar1400_init tptp.init)) % 0.36/0.63 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103) :args (@t74)) % 0.36/0.63 (step @p107 :rule refl :args (@t75)) % 0.36/0.63 (step @p108 :rule cong :premises (@p107 @p106) :args (@t76)) % 0.36/0.63 (step @p109 :rule aci_norm :args ((= (or (or @t180 @t179) @t178) @t181))) % 0.36/0.63 (step @p110 :rule refl :args (@t178)) % 0.36/0.63 (step @p111 :rule bool-and-de-morgan :args (@t31 @t79 true)) % 0.36/0.63 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or (not @t80) @t178))) % 0.36/0.63 (step @p113 :rule trans :premises (@p112 @p109)) % 0.36/0.63 (step @p114 :rule bool-impl-elim :args (@t80 @t178)) % 0.36/0.63 (step @p115 :rule trans :premises (@p114 @p113)) % 0.36/0.63 (step @p116 :rule cong :premises (@p115) :args ((forall @t82 (=> @t80 @t178)))) % 0.36/0.63 (step @p117 :rule eq-symm :args (@t77 tptp.init)) % 0.36/0.63 (step @p118 :rule refl :args (@t80)) % 0.36/0.63 (step @p119 :rule cong :premises (@p118 @p117) :args (@t81)) % 0.36/0.63 (step @p120 :rule cong :premises (@p119) :args (@t83)) % 0.36/0.63 (step @p121 :rule trans :premises (@p120 @p116)) % 0.36/0.63 (step @p122 :rule aci_norm :args ((= (or (or @t185 @t184) @t183) @t186))) % 0.36/0.63 (step @p123 :rule refl :args (@t183)) % 0.36/0.63 (step @p124 :rule bool-and-de-morgan :args (@t33 @t85 true)) % 0.36/0.63 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t86) @t183))) % 0.36/0.63 (step @p126 :rule trans :premises (@p125 @p122)) % 0.36/0.63 (step @p127 :rule bool-impl-elim :args (@t86 @t183)) % 0.36/0.63 (step @p128 :rule trans :premises (@p127 @p126)) % 0.36/0.63 (step @p129 :rule cong :premises (@p128) :args ((forall @t88 (=> @t86 @t183)))) % 0.36/0.63 (step @p130 :rule eq-symm :args (@t84 tptp.init)) % 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@p316 @p315 @p314 @p313 @p312 @p311 @p310 @p309 @p304 @p299 @p294) :args ((not @t177) (@list false false false false false false false false false false false false false false false false false) (@list @t204 @t203 @t202 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t112 @t201 @t192 @t187 @t182))) % 0.36/0.63 (step @p326 :rule cnf_implies_neg1 :args (@t177)) % 0.36/0.63 (step @p327 :rule reordering :premises (@p326) :args ((or @t75 @t177))) % 0.36/0.63 (step @p328 :rule chain_m_resolution :premises (@p327 @p325) :args (@t75 @t256 @t257)) % 0.36/0.63 (step @p329 :rule cnf_implies_neg2 :args (@t177)) % 0.36/0.63 (step @p330 :rule chain_m_resolution :premises (@p329 @p325) :args ((not @t176) @t256 @t257)) % 0.36/0.63 (step @p331 :rule and_elim :premises (@p289) :args (19)) % 0.36/0.63 (step @p332 :rule implies_elim :premises (@p331)) % 0.36/0.63 (step @p333 :rule reordering :premises (@p332) :args ((or @t176 (not @t75)))) % 0.36/0.63 (step @p334 false :rule chain_m_resolution :premises (@p333 @p330 @p328) :args (false (@list true false) (@list @t176 @t75))) % 0.36/0.63 ) % 0.36/0.63 % SZS output end Proof % 0.36/0.63 % cvc5 exiting %------------------------------------------------------------------------------