%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV032+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 : n014.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 09:00:23 AM UTC 2026 % Result : Theorem 0.36s 0.66s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV032+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.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 19:53:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.66 % SZS status Theorem % 0.36/0.66 % SZS output start Proof % 0.36/0.66 ( % 0.36/0.66 (declare-sort $$unsorted 0) % 0.36/0.66 (declare-const tptp.n410 $$unsorted) % 0.36/0.66 (declare-const tptp.pv1376 $$unsorted) % 0.36/0.66 (declare-const tptp.s_values7_init $$unsorted) % 0.36/0.66 (declare-const tptp.init $$unsorted) % 0.36/0.66 (declare-const tptp.def $$unsorted) % 0.36/0.66 (declare-const tptp.use $$unsorted) % 0.36/0.66 (declare-const tptp.true Bool) % 0.36/0.66 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.simplex7_init $$unsorted) % 0.36/0.66 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.36/0.66 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.pv20 $$unsorted) % 0.36/0.66 (declare-const tptp.n3 $$unsorted) % 0.36/0.66 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.36/0.66 (declare-const tptp.n0 $$unsorted) % 0.36/0.66 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.n1 $$unsorted) % 0.36/0.66 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.n5 $$unsorted) % 0.36/0.66 (declare-const tptp.pv19 $$unsorted) % 0.36/0.66 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.36/0.66 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.n330 $$unsorted) % 0.36/0.66 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.36/0.66 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.36/0.66 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.66 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.36/0.66 (declare-const tptp.n4 $$unsorted) % 0.36/0.66 (declare-const tptp.n2 $$unsorted) % 0.36/0.66 (define @t1 () (@var "Y" $$unsorted)) % 0.36/0.66 (define @t2 () (@var "X" $$unsorted)) % 0.36/0.66 (define @t3 () (= @t2 @t1)) % 0.36/0.66 (define @t4 () (tptp.gt @t1 @t2)) % 0.36/0.66 (define @t5 () (tptp.gt @t2 @t1)) % 0.36/0.66 (define @t6 () (@list @t2 @t1)) % 0.36/0.66 (define @t7 () (@var "Z" $$unsorted)) % 0.36/0.66 (define @t8 () (@list @t2 @t1 @t7)) % 0.36/0.66 (define @t9 () (@list @t2)) % 0.36/0.66 (define @t10 () (tptp.leq @t2 @t1)) % 0.36/0.66 (define @t11 () (forall @t6 (=> @t4 @t10))) % 0.36/0.66 (define @t12 () (tptp.leq @t2 (tptp.pred @t1))) % 0.36/0.66 (define @t13 () (forall @t6 (= @t12 @t4))) % 0.36/0.66 (define @t14 () (tptp.succ @t2)) % 0.36/0.66 (define @t15 () (tptp.succ @t1)) % 0.36/0.66 (define @t16 () (@var "C" $$unsorted)) % 0.36/0.66 (define @t17 () (tptp.uniform_int_rnd @t16 @t2)) % 0.36/0.66 (define @t18 () (tptp.leq tptp.n0 @t2)) % 0.36/0.66 (define @t19 () (@list @t2 @t16)) % 0.36/0.66 (define @t20 () (@var "Val" $$unsorted)) % 0.36/0.66 (define @t21 () (@var "I" $$unsorted)) % 0.36/0.66 (define @t22 () (@var "U" $$unsorted)) % 0.36/0.66 (define @t23 () (@var "L" $$unsorted)) % 0.36/0.66 (define @t24 () (tptp.leq @t21 @t22)) % 0.36/0.66 (define @t25 () (@var "J" $$unsorted)) % 0.36/0.66 (define @t26 () (@var "U2" $$unsorted)) % 0.36/0.66 (define @t27 () (@var "L2" $$unsorted)) % 0.36/0.66 (define @t28 () (@var "U1" $$unsorted)) % 0.36/0.66 (define @t29 () (@var "L1" $$unsorted)) % 0.36/0.66 (define @t30 () (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t29 @t28) (tptp.dim @t27 @t26) @t20) @t21 @t25)) % 0.36/0.66 (define @t31 () (tptp.leq @t25 @t26)) % 0.36/0.66 (define @t32 () (tptp.leq @t27 @t25)) % 0.36/0.66 (define @t33 () (tptp.leq @t21 @t28)) % 0.36/0.66 (define @t34 () (tptp.leq @t29 @t21)) % 0.36/0.66 (define @t35 () (and @t34 @t33 @t32 @t31)) % 0.36/0.66 (define @t36 () (=> @t35 (= @t30 @t20))) % 0.36/0.66 (define @t37 () (@list @t21 @t29 @t28 @t25 @t27 @t26 @t20)) % 0.36/0.66 (define @t38 () (forall @t37 @t36)) % 0.36/0.66 (define @t39 () (@var "A" $$unsorted)) % 0.36/0.66 (define @t40 () (tptp.trans @t39)) % 0.36/0.66 (define @t41 () (@var "N" $$unsorted)) % 0.36/0.66 (define @t42 () (tptp.leq @t25 @t41)) % 0.36/0.66 (define @t43 () (tptp.leq tptp.n0 @t25)) % 0.36/0.66 (define @t44 () (tptp.leq @t21 @t41)) % 0.36/0.66 (define @t45 () (tptp.leq tptp.n0 @t21)) % 0.36/0.66 (define @t46 () (and @t45 @t44 @t43 @t42)) % 0.36/0.66 (define @t47 () (@list @t21 @t25)) % 0.36/0.66 (define @t48 () (forall @t47 (=> @t46 (= (tptp.a_select3 @t39 @t21 @t25) (tptp.a_select3 @t39 @t25 @t21))))) % 0.36/0.66 (define @t49 () (@list @t39 @t41)) % 0.36/0.66 (define @t50 () (tptp.inv @t39)) % 0.36/0.66 (define @t51 () (@var "VAL" $$unsorted)) % 0.36/0.66 (define @t52 () (@var "K" $$unsorted)) % 0.36/0.66 (define @t53 () (tptp.tptp_update3 @t39 @t52 @t52 @t51)) % 0.36/0.66 (define @t54 () (@var "B" $$unsorted)) % 0.36/0.66 (define @t55 () (tptp.tptp_madd @t39 @t54)) % 0.36/0.66 (define @t56 () (= (tptp.a_select3 @t54 @t21 @t25) (tptp.a_select3 @t54 @t25 @t21))) % 0.36/0.66 (define @t57 () (forall @t47 (=> @t46 @t56))) % 0.36/0.66 (define @t58 () (and @t48 @t57)) % 0.36/0.66 (define @t59 () (@list @t39 @t54 @t41)) % 0.36/0.66 (define @t60 () (tptp.tptp_msub @t39 @t54)) % 0.36/0.66 (define @t61 () (tptp.tptp_mmul @t39 (tptp.tptp_mmul @t54 @t40))) % 0.36/0.66 (define @t62 () (forall @t47 (=> @t46 (= (tptp.a_select3 @t61 @t21 @t25) (tptp.a_select3 @t61 @t25 @t21))))) % 0.36/0.66 (define @t63 () (@var "M" $$unsorted)) % 0.36/0.66 (define @t64 () (and @t45 (tptp.leq @t21 @t63) @t43 (tptp.leq @t25 @t63))) % 0.36/0.66 (define @t65 () (@var "E" $$unsorted)) % 0.36/0.66 (define @t66 () (@var "F" $$unsorted)) % 0.36/0.66 (define @t67 () (@var "D" $$unsorted)) % 0.36/0.66 (define @t68 () (tptp.tptp_madd @t39 (tptp.tptp_mmul @t54 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t16 (tptp.tptp_mmul @t67 (tptp.trans @t16))) (tptp.tptp_mmul @t65 (tptp.tptp_mmul @t66 (tptp.trans @t65)))) (tptp.trans @t54))))) % 0.36/0.66 (define @t69 () (@var "Body" $$unsorted)) % 0.36/0.66 (define @t70 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t69)) % 0.36/0.66 (define @t71 () (@list @t69)) % 0.36/0.66 (define @t72 () (tptp.succ @t14)) % 0.36/0.66 (define @t73 () (tptp.succ @t72)) % 0.36/0.66 (define @t74 () (tptp.succ @t73)) % 0.36/0.66 (define @t75 () (tptp.succ @t74)) % 0.36/0.66 (define @t76 () (tptp.pred @t2)) % 0.36/0.66 (define @t77 () (tptp.pred @t14)) % 0.36/0.66 (define @t78 () (forall @t9 (= @t77 @t2))) % 0.36/0.66 (define @t79 () (@var "V" $$unsorted)) % 0.36/0.66 (define @t80 () (tptp.tptp_update3 @t2 @t22 @t79 @t51)) % 0.36/0.66 (define @t81 () (@var "VAL2" $$unsorted)) % 0.36/0.66 (define @t82 () (not (= @t21 @t22))) % 0.36/0.66 (define @t83 () (@var "J0" $$unsorted)) % 0.36/0.66 (define @t84 () (@var "I0" $$unsorted)) % 0.36/0.66 (define @t85 () (tptp.leq @t84 @t22)) % 0.36/0.66 (define @t86 () (tptp.leq tptp.n0 @t84)) % 0.36/0.66 (define @t87 () (tptp.tptp_update2 @t2 @t22 @t51)) % 0.36/0.66 (define @t88 () (tptp.a_select2 tptp.s_values7_init @t66)) % 0.36/0.66 (define @t89 () (tptp.minus tptp.pv1376 tptp.n1)) % 0.36/0.66 (define @t90 () (tptp.leq @t66 @t89)) % 0.36/0.66 (define @t91 () (tptp.leq tptp.n0 @t66)) % 0.36/0.66 (define @t92 () (and @t91 @t90)) % 0.36/0.66 (define @t93 () (=> @t92 (= @t88 tptp.init))) % 0.36/0.66 (define @t94 () (@list @t66)) % 0.36/0.66 (define @t95 () (forall @t94 @t93)) % 0.36/0.66 (define @t96 () (tptp.a_select3 tptp.simplex7_init @t65 @t67)) % 0.36/0.66 (define @t97 () (tptp.leq @t65 tptp.n3)) % 0.36/0.66 (define @t98 () (tptp.leq tptp.n0 @t65)) % 0.36/0.66 (define @t99 () (and @t98 @t97)) % 0.36/0.66 (define @t100 () (=> @t99 (= @t96 tptp.init))) % 0.36/0.66 (define @t101 () (@list @t65)) % 0.36/0.66 (define @t102 () (forall @t101 @t100)) % 0.36/0.66 (define @t103 () (tptp.leq @t67 tptp.n2)) % 0.36/0.66 (define @t104 () (tptp.leq tptp.n0 @t67)) % 0.36/0.66 (define @t105 () (and @t104 @t103)) % 0.36/0.66 (define @t106 () (=> @t105 @t102)) % 0.36/0.66 (define @t107 () (@list @t67)) % 0.36/0.66 (define @t108 () (forall @t107 @t106)) % 0.36/0.66 (define @t109 () (tptp.leq tptp.pv1376 tptp.n3)) % 0.36/0.66 (define @t110 () (tptp.minus tptp.n410 tptp.n1)) % 0.36/0.66 (define @t111 () (tptp.leq tptp.pv19 @t110)) % 0.36/0.66 (define @t112 () (tptp.leq tptp.n0 tptp.pv1376)) % 0.36/0.66 (define @t113 () (tptp.leq tptp.n0 tptp.pv19)) % 0.36/0.66 (define @t114 () (tptp.minus tptp.n330 tptp.n1)) % 0.36/0.66 (define @t115 () (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim tptp.n0 @t110) (tptp.dim tptp.n0 @t114) tptp.init) tptp.pv19 tptp.pv20)) % 0.36/0.66 (define @t116 () (tptp.a_select3 tptp.simplex7_init tptp.pv1376 tptp.n2)) % 0.36/0.66 (define @t117 () (tptp.a_select3 tptp.simplex7_init tptp.pv1376 tptp.n1)) % 0.36/0.66 (define @t118 () (tptp.a_select3 tptp.simplex7_init tptp.pv1376 tptp.n0)) % 0.36/0.66 (define @t119 () (= tptp.init tptp.init)) % 0.36/0.66 (define @t120 () (and @t119 (= @t118 tptp.init) (= @t117 tptp.init) (= @t116 tptp.init) (= @t115 tptp.init) @t113 @t112 @t111 @t109 @t108 @t95)) % 0.36/0.66 (define @t121 () (tptp.a_select2 tptp.s_values7_init @t16)) % 0.36/0.66 (define @t122 () (tptp.leq @t16 @t89)) % 0.36/0.66 (define @t123 () (tptp.leq tptp.n0 @t16)) % 0.36/0.66 (define @t124 () (and @t123 @t122)) % 0.36/0.66 (define @t125 () (=> @t124 (= @t121 tptp.init))) % 0.36/0.66 (define @t126 () (@list @t16)) % 0.36/0.66 (define @t127 () (forall @t126 @t125)) % 0.36/0.66 (define @t128 () (tptp.a_select3 tptp.simplex7_init @t54 @t39)) % 0.36/0.66 (define @t129 () (tptp.leq @t54 tptp.n3)) % 0.36/0.66 (define @t130 () (tptp.leq tptp.n0 @t54)) % 0.36/0.66 (define @t131 () (and @t130 @t129)) % 0.36/0.66 (define @t132 () (=> @t131 (= @t128 tptp.init))) % 0.36/0.66 (define @t133 () (@list @t54)) % 0.36/0.66 (define @t134 () (forall @t133 @t132)) % 0.36/0.66 (define @t135 () (tptp.leq @t39 tptp.n2)) % 0.36/0.66 (define @t136 () (tptp.leq tptp.n0 @t39)) % 0.36/0.66 (define @t137 () (and @t136 @t135)) % 0.36/0.66 (define @t138 () (=> @t137 @t134)) % 0.36/0.66 (define @t139 () (@list @t39)) % 0.36/0.66 (define @t140 () (forall @t139 @t138)) % 0.36/0.66 (define @t141 () (tptp.leq tptp.pv20 @t114)) % 0.36/0.66 (define @t142 () (tptp.leq tptp.n0 tptp.pv20)) % 0.36/0.66 (define @t143 () (and @t119 @t113 @t142 @t112 @t111 @t141 @t109 @t140 @t127)) % 0.36/0.66 (define @t144 () (=> @t143 @t120)) % 0.36/0.66 (define @t145 () (not @t144)) % 0.36/0.66 (define @t146 () (tptp.gt tptp.n1 tptp.n0)) % 0.36/0.66 (define @t147 () (tptp.gt tptp.n2 tptp.n0)) % 0.36/0.66 (define @t148 () (tptp.gt tptp.n2 tptp.n1)) % 0.36/0.66 (define @t149 () (tptp.gt tptp.n3 tptp.n2)) % 0.36/0.67 (define @t150 () (= @t2 tptp.n4)) % 0.36/0.67 (define @t151 () (= @t2 tptp.n3)) % 0.36/0.67 (define @t152 () (= @t2 tptp.n2)) % 0.36/0.67 (define @t153 () (= @t2 tptp.n1)) % 0.36/0.67 (define @t154 () (= @t2 tptp.n0)) % 0.36/0.67 (define @t155 () (tptp.succ tptp.n0)) % 0.36/0.67 (define @t156 () (tptp.succ @t155)) % 0.36/0.67 (define @t157 () (tptp.succ @t156)) % 0.36/0.67 (define @t158 () (tptp.succ @t157)) % 0.36/0.67 (define @t159 () (= tptp.init @t88)) % 0.36/0.67 (define @t160 () (not @t90)) % 0.36/0.67 (define @t161 () (not @t91)) % 0.36/0.67 (define @t162 () (or @t161 @t160 @t159)) % 0.36/0.67 (define @t163 () (forall @t94 @t162)) % 0.36/0.67 (define @t164 () (@var "BOUND_VARIABLE_8481" $$unsorted)) % 0.36/0.67 (define @t165 () (= tptp.init (tptp.a_select3 tptp.simplex7_init @t164 @t67))) % 0.36/0.67 (define @t166 () (not (tptp.leq @t164 tptp.n3))) % 0.36/0.67 (define @t167 () (not (tptp.leq tptp.n0 @t164))) % 0.36/0.67 (define @t168 () (not @t103)) % 0.36/0.67 (define @t169 () (not @t104)) % 0.36/0.67 (define @t170 () (or @t169 @t168 @t167 @t166 @t165)) % 0.36/0.67 (define @t171 () (@list @t67 @t164)) % 0.36/0.67 (define @t172 () (forall @t171 @t170)) % 0.36/0.67 (define @t173 () (= tptp.init @t115)) % 0.36/0.67 (define @t174 () (= tptp.init @t116)) % 0.36/0.67 (define @t175 () (= tptp.init @t117)) % 0.36/0.67 (define @t176 () (= tptp.init @t118)) % 0.36/0.67 (define @t177 () (or @t167 @t166 @t165)) % 0.36/0.67 (define @t178 () (or @t169 @t168 @t177)) % 0.36/0.67 (define @t179 () (forall @t171 @t178)) % 0.36/0.67 (define @t180 () (@list @t164)) % 0.36/0.67 (define @t181 () (forall @t180 @t178)) % 0.36/0.67 (define @t182 () (forall @t180 @t177)) % 0.36/0.67 (define @t183 () (or @t169 @t168 @t182)) % 0.36/0.67 (define @t184 () (= tptp.init @t96)) % 0.36/0.67 (define @t185 () (not @t97)) % 0.36/0.67 (define @t186 () (not @t98)) % 0.36/0.67 (define @t187 () (or @t186 @t185 @t184)) % 0.36/0.67 (define @t188 () (forall @t101 @t187)) % 0.36/0.67 (define @t189 () (or @t169 @t168 @t188)) % 0.36/0.67 (define @t190 () (= tptp.init @t121)) % 0.36/0.67 (define @t191 () (not @t122)) % 0.36/0.67 (define @t192 () (not @t123)) % 0.36/0.67 (define @t193 () (or @t192 @t191 @t190)) % 0.36/0.67 (define @t194 () (forall @t126 @t193)) % 0.36/0.67 (define @t195 () (@var "BOUND_VARIABLE_8435" $$unsorted)) % 0.36/0.67 (define @t196 () (= tptp.init (tptp.a_select3 tptp.simplex7_init @t195 @t39))) % 0.36/0.67 (define @t197 () (not (tptp.leq @t195 tptp.n3))) % 0.36/0.67 (define @t198 () (not (tptp.leq tptp.n0 @t195))) % 0.36/0.67 (define @t199 () (not @t135)) % 0.36/0.67 (define @t200 () (not @t136)) % 0.36/0.67 (define @t201 () (or @t200 @t199 @t198 @t197 @t196)) % 0.36/0.67 (define @t202 () (@list @t39 @t195)) % 0.36/0.67 (define @t203 () (forall @t202 @t201)) % 0.36/0.67 (define @t204 () (or @t198 @t197 @t196)) % 0.36/0.67 (define @t205 () (or @t200 @t199 @t204)) % 0.36/0.67 (define @t206 () (forall @t202 @t205)) % 0.36/0.67 (define @t207 () (@list @t195)) % 0.36/0.67 (define @t208 () (forall @t207 @t205)) % 0.36/0.67 (define @t209 () (forall @t207 @t204)) % 0.36/0.67 (define @t210 () (or @t200 @t199 @t209)) % 0.36/0.67 (define @t211 () (= tptp.init @t128)) % 0.36/0.67 (define @t212 () (not @t129)) % 0.36/0.67 (define @t213 () (not @t130)) % 0.36/0.67 (define @t214 () (or @t213 @t212 @t211)) % 0.36/0.67 (define @t215 () (forall @t133 @t214)) % 0.36/0.67 (define @t216 () (or @t200 @t199 @t215)) % 0.36/0.67 (define @t217 () (@list false)) % 0.36/0.67 (define @t218 () (= @t20 @t30)) % 0.36/0.67 (define @t219 () (not @t31)) % 0.36/0.67 (define @t220 () (not @t32)) % 0.36/0.67 (define @t221 () (not @t33)) % 0.36/0.67 (define @t222 () (not @t34)) % 0.36/0.67 (define @t223 () (or @t222 @t221 @t220 @t219)) % 0.36/0.67 (define @t224 () (not @t141)) % 0.36/0.67 (define @t225 () (not @t142)) % 0.36/0.67 (define @t226 () (not @t111)) % 0.36/0.67 (define @t227 () (not @t113)) % 0.36/0.67 (define @t228 () (or @t227 @t226 @t225 @t224 @t173)) % 0.36/0.67 (define @t229 () (@list false false false false false)) % 0.36/0.67 (define @t230 () (tptp.leq tptp.n1 tptp.n2)) % 0.36/0.67 (define @t231 () (not @t148)) % 0.36/0.67 (define @t232 () (or @t231 @t230)) % 0.36/0.67 (define @t233 () (@list false false)) % 0.36/0.67 (define @t234 () (@list tptp.n0 tptp.n1)) % 0.36/0.67 (define @t235 () (tptp.leq tptp.n0 tptp.n1)) % 0.36/0.67 (define @t236 () (not @t146)) % 0.36/0.67 (define @t237 () (or @t236 @t235)) % 0.36/0.67 (define @t238 () (not @t109)) % 0.36/0.67 (define @t239 () (not @t112)) % 0.36/0.67 (define @t240 () (not @t230)) % 0.36/0.67 (define @t241 () (not @t235)) % 0.36/0.67 (define @t242 () (or @t241 @t240 @t239 @t238 @t175)) % 0.36/0.67 (define @t243 () (tptp.leq tptp.n0 tptp.n2)) % 0.36/0.67 (define @t244 () (not @t147)) % 0.36/0.67 (define @t245 () (or @t244 @t243)) % 0.36/0.67 (define @t246 () (tptp.leq tptp.n0 (tptp.pred tptp.n1))) % 0.36/0.67 (define @t247 () (= @t146 @t246)) % 0.36/0.67 (define @t248 () (tptp.leq tptp.n0 tptp.n0)) % 0.36/0.67 (define @t249 () (not @t243)) % 0.36/0.67 (define @t250 () (not @t248)) % 0.36/0.67 (define @t251 () (or @t250 @t249 @t239 @t238 @t176)) % 0.36/0.67 (define @t252 () (tptp.leq tptp.n2 (tptp.pred tptp.n3))) % 0.36/0.67 (define @t253 () (= @t149 @t252)) % 0.36/0.67 (define @t254 () (tptp.leq tptp.n2 tptp.n2)) % 0.36/0.67 (define @t255 () (not @t254)) % 0.36/0.67 (define @t256 () (or @t249 @t255 @t239 @t238 @t174)) % 0.36/0.67 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.36/0.67 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.36/0.67 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.36/0.67 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.36/0.67 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.36/0.67 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.36/0.67 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.36/0.67 (assume @p8 @t11) % 0.36/0.67 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.36/0.67 (assume @p10 @t13) % 0.36/0.67 (assume @p11 (forall @t9 (tptp.gt @t14 @t2))) % 0.36/0.67 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t15)))) % 0.36/0.67 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t15 @t2)))) % 0.36/0.67 (assume @p14 (forall @t19 (=> @t18 (tptp.leq @t17 @t2)))) % 0.36/0.67 (assume @p15 (forall @t19 (=> @t18 (tptp.leq tptp.n0 @t17)))) % 0.36/0.67 (assume @p16 (forall (@list @t21 @t23 @t22 @t20) (=> (and (tptp.leq @t23 @t21) @t24) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t23 @t22) @t20) @t21) @t20)))) % 0.36/0.67 (assume @p17 @t38) % 0.36/0.67 (assume @p18 (forall @t49 (=> @t48 (forall @t47 (=> @t46 (= (tptp.a_select3 @t40 @t21 @t25) (tptp.a_select3 @t40 @t25 @t21))))))) % 0.36/0.67 (assume @p19 (forall @t49 (=> @t48 (forall @t47 (=> @t46 (= (tptp.a_select3 @t50 @t21 @t25) (tptp.a_select3 @t50 @t25 @t21))))))) % 0.36/0.67 (assume @p20 (forall @t49 (=> @t48 (forall (@list @t21 @t25 @t52 @t51) (=> (and @t45 @t44 @t43 @t42 (tptp.leq tptp.n0 @t52) (tptp.leq @t52 @t41)) (= (tptp.a_select3 @t53 @t21 @t25) (tptp.a_select3 @t53 @t25 @t21))))))) % 0.36/0.67 (assume @p21 (forall @t59 (=> @t58 (forall @t47 (=> @t46 (= (tptp.a_select3 @t55 @t21 @t25) (tptp.a_select3 @t55 @t25 @t21))))))) % 0.36/0.67 (assume @p22 (forall @t59 (=> @t58 (forall @t47 (=> @t46 (= (tptp.a_select3 @t60 @t21 @t25) (tptp.a_select3 @t60 @t25 @t21))))))) % 0.36/0.67 (assume @p23 (forall @t59 (=> @t57 @t62))) % 0.36/0.67 (assume @p24 (forall (@list @t39 @t54 @t41 @t63) (=> (forall @t47 (=> @t64 @t56)) @t62))) % 0.36/0.67 (assume @p25 (forall (@list @t39 @t54 @t16 @t67 @t65 @t66 @t41 @t63) (=> (and (forall @t47 (=> @t64 (= (tptp.a_select3 @t67 @t21 @t25) (tptp.a_select3 @t67 @t25 @t21)))) @t48 (forall @t47 (=> @t46 (= (tptp.a_select3 @t66 @t21 @t25) (tptp.a_select3 @t66 @t25 @t21))))) (forall @t47 (=> @t46 (= (tptp.a_select3 @t68 @t21 @t25) (tptp.a_select3 @t68 @t25 @t21))))))) % 0.36/0.67 (assume @p26 (forall @t71 (= @t70 tptp.n0))) % 0.36/0.67 (assume @p27 (forall @t71 (= tptp.tptp_float_0_0 @t70))) % 0.36/0.67 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.36/0.67 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t14))) % 0.36/0.67 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t14))) % 0.36/0.67 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t72))) % 0.36/0.67 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t72))) % 0.36/0.67 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t73))) % 0.36/0.67 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t73))) % 0.36/0.67 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t74))) % 0.36/0.67 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t74))) % 0.36/0.67 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t75))) % 0.36/0.67 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t75))) % 0.36/0.67 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t76))) % 0.36/0.67 (assume @p40 @t78) % 0.36/0.67 (assume @p41 (forall @t9 (= (tptp.succ @t76) @t2))) % 0.36/0.67 (assume @p42 (forall @t6 (= (tptp.leq @t14 @t15) @t10))) % 0.36/0.67 (assume @p43 (forall @t6 (=> (tptp.leq @t14 @t1) @t4))) % 0.36/0.67 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.36/0.67 (assume @p45 (forall (@list @t2 @t22 @t79 @t51) (= (tptp.a_select3 @t80 @t22 @t79) @t51))) % 0.36/0.67 (assume @p46 (forall (@list @t21 @t25 @t22 @t79 @t2 @t51 @t81) (=> (and @t82 (= @t25 @t79) (= (tptp.a_select3 @t2 @t22 @t79) @t51)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t21 @t25 @t81) @t22 @t79) @t51)))) % 0.36/0.67 (assume @p47 (forall (@list @t21 @t25 @t22 @t79 @t2 @t51) (=> (and (forall (@list @t84 @t83) (=> (and @t86 (tptp.leq tptp.n0 @t83) @t85 (tptp.leq @t83 @t79)) (= (tptp.a_select3 @t2 @t84 @t83) @t51))) @t45 @t24 @t43 (tptp.leq @t25 @t79)) (= (tptp.a_select3 @t80 @t21 @t25) @t51)))) % 0.36/0.67 (assume @p48 (forall (@list @t2 @t22 @t51) (= (tptp.a_select2 @t87 @t22) @t51))) % 0.36/0.67 (assume @p49 (forall (@list @t21 @t22 @t2 @t51 @t81) (=> (and @t82 (= (tptp.a_select2 @t2 @t22) @t51)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t21 @t81) @t22) @t51)))) % 0.36/0.67 (assume @p50 (forall (@list @t21 @t22 @t2 @t51) (=> (and (forall (@list @t84) (=> (and @t86 @t85) (= (tptp.a_select2 @t2 @t84) @t51))) @t45 @t24) (= (tptp.a_select2 @t87 @t21) @t51)))) % 0.36/0.67 (assume @p51 tptp.true) % 0.36/0.67 (assume @p52 (not (= tptp.def tptp.use))) % 0.36/0.67 (assume @p53 @t145) % 0.36/0.67 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.36/0.67 (assume @p55 (tptp.gt tptp.n330 tptp.n4)) % 0.36/0.67 (assume @p56 (tptp.gt tptp.n410 tptp.n4)) % 0.36/0.67 (assume @p57 (tptp.gt tptp.n330 tptp.n5)) % 0.36/0.67 (assume @p58 (tptp.gt tptp.n410 tptp.n5)) % 0.36/0.67 (assume @p59 (tptp.gt tptp.n410 tptp.n330)) % 0.36/0.67 (assume @p60 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.36/0.67 (assume @p61 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.36/0.67 (assume @p62 (tptp.gt tptp.n330 tptp.tptp_minus_1)) % 0.36/0.67 (assume @p63 (tptp.gt tptp.n410 tptp.tptp_minus_1)) % 0.36/0.67 (assume @p64 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.36/0.67 (assume @p65 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.36/0.67 (assume @p66 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.36/0.67 (assume @p67 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.36/0.67 (assume @p68 (tptp.gt tptp.n4 tptp.n0)) % 0.36/0.67 (assume @p69 (tptp.gt tptp.n5 tptp.n0)) % 0.36/0.67 (assume @p70 (tptp.gt tptp.n330 tptp.n0)) % 0.36/0.67 (assume @p71 (tptp.gt tptp.n410 tptp.n0)) % 0.36/0.67 (assume @p72 @t146) % 0.36/0.67 (assume @p73 @t147) % 0.36/0.67 (assume @p74 (tptp.gt tptp.n3 tptp.n0)) % 0.36/0.67 (assume @p75 (tptp.gt tptp.n4 tptp.n1)) % 0.36/0.67 (assume @p76 (tptp.gt tptp.n5 tptp.n1)) % 0.36/0.67 (assume @p77 (tptp.gt tptp.n330 tptp.n1)) % 0.36/0.67 (assume @p78 (tptp.gt tptp.n410 tptp.n1)) % 0.36/0.67 (assume @p79 @t148) % 0.36/0.67 (assume @p80 (tptp.gt tptp.n3 tptp.n1)) % 0.36/0.67 (assume @p81 (tptp.gt tptp.n4 tptp.n2)) % 0.36/0.67 (assume @p82 (tptp.gt tptp.n5 tptp.n2)) % 0.36/0.67 (assume @p83 (tptp.gt tptp.n330 tptp.n2)) % 0.36/0.67 (assume @p84 (tptp.gt tptp.n410 tptp.n2)) % 0.36/0.67 (assume @p85 @t149) % 0.36/0.67 (assume @p86 (tptp.gt tptp.n4 tptp.n3)) % 0.36/0.67 (assume @p87 (tptp.gt tptp.n5 tptp.n3)) % 0.36/0.67 (assume @p88 (tptp.gt tptp.n330 tptp.n3)) % 0.36/0.67 (assume @p89 (tptp.gt tptp.n410 tptp.n3)) % 0.36/0.67 (assume @p90 (forall @t9 (=> (and @t18 (tptp.leq @t2 tptp.n4)) (or @t154 @t153 @t152 @t151 @t150)))) % 0.36/0.67 (assume @p91 (forall @t9 (=> (and @t18 (tptp.leq @t2 tptp.n5)) (or @t154 @t153 @t152 @t151 @t150 (= @t2 tptp.n5))))) % 0.36/0.67 (assume @p92 (forall @t9 (=> (and @t18 (tptp.leq @t2 tptp.n0)) @t154))) % 0.36/0.67 (assume @p93 (forall @t9 (=> (and @t18 (tptp.leq @t2 tptp.n1)) (or @t154 @t153)))) % 0.36/0.67 (assume @p94 (forall @t9 (=> (and @t18 (tptp.leq @t2 tptp.n2)) (or @t154 @t153 @t152)))) % 0.36/0.67 (assume @p95 (forall @t9 (=> (and @t18 (tptp.leq @t2 tptp.n3)) (or @t154 @t153 @t152 @t151)))) % 0.36/0.67 (assume @p96 (= @t158 tptp.n4)) % 0.36/0.67 (assume @p97 (= (tptp.succ @t158) tptp.n5)) % 0.36/0.67 (assume @p98 (= @t155 tptp.n1)) % 0.36/0.67 (assume @p99 (= @t156 tptp.n2)) % 0.36/0.67 (assume @p100 (= @t157 tptp.n3)) % 0.36/0.67 (assume @p101 true) % 0.36/0.67 (step @p102 :rule aci_norm :args ((= (and true @t176 @t175 @t174 @t173 @t113 @t112 @t111 @t109 @t172 @t163) (and @t176 @t175 @t174 @t173 @t113 @t112 @t111 @t109 @t172 @t163)))) % 0.36/0.67 (step @p103 :rule aci_norm :args ((= (or (or @t161 @t160) @t159) @t162))) % 0.36/0.67 (step @p104 :rule refl :args (@t159)) % 0.36/0.67 (step @p105 :rule bool-and-de-morgan :args (@t91 @t90 true)) % 0.36/0.67 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or (not @t92) @t159))) % 0.36/0.67 (step @p107 :rule trans :premises (@p106 @p103)) % 0.36/0.67 (step @p108 :rule bool-impl-elim :args (@t92 @t159)) % 0.36/0.67 (step @p109 :rule trans :premises (@p108 @p107)) % 0.36/0.67 (step @p110 :rule cong :premises (@p109) :args ((forall @t94 (=> @t92 @t159)))) % 0.36/0.67 (step @p111 :rule eq-symm :args (@t88 tptp.init)) % 0.36/0.67 (step @p112 :rule refl :args (@t92)) % 0.36/0.67 (step @p113 :rule cong :premises (@p112 @p111) :args (@t93)) % 0.36/0.67 (step @p114 :rule cong :premises (@p113) :args (@t95)) % 0.36/0.67 (step @p115 :rule trans :premises (@p114 @p110)) % 0.36/0.67 (step @p116 :rule aci_norm :args ((= @t178 @t170))) % 0.36/0.67 (step @p117 :rule cong :premises (@p116) :args (@t179)) % 0.36/0.67 (step @p118 :rule quant-merge-prenex :args ((= (forall @t107 @t181) @t179))) % 0.36/0.67 (step @p119 :rule alpha_equiv :args (@t182 (@list @t164) (@list @t65))) % 0.36/0.67 (step @p120 :rule refl :args (@t168)) % 0.36/0.67 (step @p121 :rule refl :args (@t169)) % 0.36/0.67 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args (@t183)) % 0.36/0.67 (step @p123 :rule quant-miniscope-or :args ((= @t181 @t183))) % 0.36/0.67 (step @p124 :rule trans :premises (@p123 @p122)) % 0.36/0.67 (step @p125 :rule symm :premises (@p124)) % 0.36/0.67 (step @p126 :rule cong :premises (@p125) :args ((forall @t107 @t189))) % 0.36/0.67 (step @p127 :rule trans :premises (@p126 @p118)) % 0.36/0.67 (step @p128 :rule trans :premises (@p127 @p117)) % 0.36/0.67 (step @p129 :rule aci_norm :args ((= (or (or @t169 @t168) @t188) @t189))) % 0.36/0.67 (step @p130 :rule refl :args (@t188)) % 0.36/0.67 (step @p131 :rule bool-and-de-morgan :args (@t104 @t103 true)) % 0.36/0.67 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or (not @t105) @t188))) % 0.36/0.67 (step @p133 :rule trans :premises (@p132 @p129)) % 0.36/0.67 (step @p134 :rule bool-impl-elim :args (@t105 @t188)) % 0.36/0.67 (step @p135 :rule trans :premises (@p134 @p133)) % 0.36/0.67 (step @p136 :rule cong :premises (@p135) :args ((forall @t107 (=> @t105 @t188)))) % 0.36/0.67 (step @p137 :rule trans :premises (@p136 @p128)) % 0.36/0.67 (step @p138 :rule aci_norm :args ((= (or (or @t186 @t185) @t184) @t187))) % 0.36/0.67 (step @p139 :rule refl :args (@t184)) % 0.36/0.67 (step @p140 :rule bool-and-de-morgan :args (@t98 @t97 true)) % 0.36/0.67 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or (not @t99) @t184))) % 0.36/0.67 (step @p142 :rule trans :premises (@p141 @p138)) % 0.36/0.67 (step @p143 :rule bool-impl-elim :args (@t99 @t184)) % 0.36/0.67 (step @p144 :rule trans :premises (@p143 @p142)) % 0.36/0.67 (step @p145 :rule cong :premises (@p144) :args ((forall @t101 (=> @t99 @t184)))) % 0.36/0.67 (step @p146 :rule eq-symm :args (@t96 tptp.init)) % 0.36/0.67 (step @p147 :rule refl :args (@t99)) % 0.36/0.67 (step @p148 :rule cong :premises (@p147 @p146) :args (@t100)) % 0.36/0.67 (step @p149 :rule cong :premises (@p148) :args (@t102)) % 0.36/0.67 (step @p150 :rule trans :premises (@p149 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@p285 @p270 @p240 @p235 @p230 @p229 @p228 @p227) :args (false (@list false false false false false false false false false false) (@list @t174 @t176 @t175 @t173 @t163 @t172 @t109 @t111 @t112 @t113))) % 0.36/0.67 ) % 0.36/0.67 % SZS output end Proof % 0.36/0.67 % cvc5 exiting %------------------------------------------------------------------------------