%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV104+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 : n013.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 09:00:31 AM UTC 2026 % Result : Theorem 0.46s 0.67s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV104+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 % 0.17/0.35 % Computer : n013.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:55:00 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.67 % SZS status Theorem % 0.46/0.67 % SZS output start Proof % 0.46/0.67 ( % 0.46/0.67 (declare-sort $$unsorted 0) % 0.46/0.67 (declare-const tptp.u_defuse $$unsorted) % 0.46/0.67 (declare-const tptp.def $$unsorted) % 0.46/0.67 (declare-const tptp.use $$unsorted) % 0.46/0.67 (declare-const tptp.true Bool) % 0.46/0.67 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.46/0.67 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.n3 $$unsorted) % 0.46/0.67 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.46/0.67 (declare-const tptp.n0 $$unsorted) % 0.46/0.67 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.n1 $$unsorted) % 0.46/0.67 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.n5 $$unsorted) % 0.46/0.67 (declare-const tptp.xinit_defuse $$unsorted) % 0.46/0.67 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.46/0.67 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.46/0.67 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.46/0.67 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.67 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.46/0.67 (declare-const tptp.n4 $$unsorted) % 0.46/0.67 (declare-const tptp.n2 $$unsorted) % 0.46/0.67 (define @t1 () (@var "Y" $$unsorted)) % 0.46/0.67 (define @t2 () (@var "X" $$unsorted)) % 0.46/0.67 (define @t3 () (= @t2 @t1)) % 0.46/0.67 (define @t4 () (tptp.gt @t1 @t2)) % 0.46/0.67 (define @t5 () (tptp.gt @t2 @t1)) % 0.46/0.67 (define @t6 () (@list @t2 @t1)) % 0.46/0.67 (define @t7 () (@var "Z" $$unsorted)) % 0.46/0.67 (define @t8 () (@list @t2 @t1 @t7)) % 0.46/0.67 (define @t9 () (@list @t2)) % 0.46/0.67 (define @t10 () (tptp.leq @t2 @t1)) % 0.46/0.67 (define @t11 () (tptp.succ @t2)) % 0.46/0.67 (define @t12 () (tptp.succ @t1)) % 0.46/0.67 (define @t13 () (@var "C" $$unsorted)) % 0.46/0.67 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.46/0.67 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.46/0.67 (define @t16 () (@list @t2 @t13)) % 0.46/0.67 (define @t17 () (@var "Val" $$unsorted)) % 0.46/0.67 (define @t18 () (@var "I" $$unsorted)) % 0.46/0.67 (define @t19 () (@var "U" $$unsorted)) % 0.46/0.67 (define @t20 () (@var "L" $$unsorted)) % 0.46/0.67 (define @t21 () (tptp.leq @t18 @t19)) % 0.46/0.67 (define @t22 () (@var "J" $$unsorted)) % 0.46/0.67 (define @t23 () (@var "U2" $$unsorted)) % 0.46/0.67 (define @t24 () (@var "L2" $$unsorted)) % 0.46/0.67 (define @t25 () (@var "U1" $$unsorted)) % 0.46/0.67 (define @t26 () (@var "L1" $$unsorted)) % 0.46/0.67 (define @t27 () (@var "A" $$unsorted)) % 0.46/0.67 (define @t28 () (tptp.trans @t27)) % 0.46/0.67 (define @t29 () (@var "N" $$unsorted)) % 0.46/0.67 (define @t30 () (tptp.leq @t22 @t29)) % 0.46/0.67 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.46/0.67 (define @t32 () (tptp.leq @t18 @t29)) % 0.46/0.67 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.46/0.67 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.46/0.67 (define @t35 () (@list @t18 @t22)) % 0.46/0.67 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.46/0.67 (define @t37 () (@list @t27 @t29)) % 0.46/0.67 (define @t38 () (tptp.inv @t27)) % 0.46/0.67 (define @t39 () (@var "VAL" $$unsorted)) % 0.46/0.67 (define @t40 () (@var "K" $$unsorted)) % 0.46/0.67 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.46/0.67 (define @t42 () (@var "B" $$unsorted)) % 0.46/0.67 (define @t43 () (tptp.tptp_madd @t27 @t42)) % 0.46/0.67 (define @t44 () (= (tptp.a_select3 @t42 @t18 @t22) (tptp.a_select3 @t42 @t22 @t18))) % 0.46/0.67 (define @t45 () (forall @t35 (=> @t34 @t44))) % 0.46/0.67 (define @t46 () (and @t36 @t45)) % 0.46/0.67 (define @t47 () (@list @t27 @t42 @t29)) % 0.46/0.67 (define @t48 () (tptp.tptp_msub @t27 @t42)) % 0.46/0.67 (define @t49 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t42 @t28))) % 0.46/0.67 (define @t50 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))) % 0.46/0.67 (define @t51 () (@var "M" $$unsorted)) % 0.46/0.67 (define @t52 () (and @t33 (tptp.leq @t18 @t51) @t31 (tptp.leq @t22 @t51))) % 0.46/0.67 (define @t53 () (@var "E" $$unsorted)) % 0.46/0.67 (define @t54 () (@var "F" $$unsorted)) % 0.46/0.67 (define @t55 () (@var "D" $$unsorted)) % 0.46/0.67 (define @t56 () (tptp.tptp_madd @t27 (tptp.tptp_mmul @t42 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t13 (tptp.tptp_mmul @t55 (tptp.trans @t13))) (tptp.tptp_mmul @t53 (tptp.tptp_mmul @t54 (tptp.trans @t53)))) (tptp.trans @t42))))) % 0.46/0.67 (define @t57 () (@var "Body" $$unsorted)) % 0.46/0.67 (define @t58 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t57)) % 0.46/0.67 (define @t59 () (@list @t57)) % 0.46/0.67 (define @t60 () (tptp.plus tptp.n1 @t2)) % 0.46/0.67 (define @t61 () (forall @t9 (= @t60 @t11))) % 0.46/0.67 (define @t62 () (tptp.succ @t11)) % 0.46/0.67 (define @t63 () (tptp.succ @t62)) % 0.46/0.67 (define @t64 () (tptp.succ @t63)) % 0.46/0.67 (define @t65 () (tptp.succ @t64)) % 0.46/0.67 (define @t66 () (tptp.pred @t2)) % 0.46/0.67 (define @t67 () (tptp.pred @t11)) % 0.46/0.67 (define @t68 () (forall @t9 (= @t67 @t2))) % 0.46/0.67 (define @t69 () (@var "V" $$unsorted)) % 0.46/0.67 (define @t70 () (tptp.tptp_update3 @t2 @t19 @t69 @t39)) % 0.46/0.67 (define @t71 () (@var "VAL2" $$unsorted)) % 0.46/0.67 (define @t72 () (= @t18 @t19)) % 0.46/0.67 (define @t73 () (not @t72)) % 0.46/0.67 (define @t74 () (@var "J0" $$unsorted)) % 0.46/0.67 (define @t75 () (@var "I0" $$unsorted)) % 0.46/0.67 (define @t76 () (tptp.leq @t75 @t19)) % 0.46/0.67 (define @t77 () (tptp.leq tptp.n0 @t75)) % 0.46/0.67 (define @t78 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.46/0.67 (define @t79 () (tptp.a_select2 @t78 @t19)) % 0.46/0.67 (define @t80 () (forall (@list @t2 @t19 @t39) (= @t79 @t39))) % 0.46/0.67 (define @t81 () (tptp.a_select2 (tptp.tptp_update2 @t2 @t18 @t71) @t19)) % 0.46/0.67 (define @t82 () (tptp.a_select2 @t2 @t19)) % 0.46/0.67 (define @t83 () (and @t73 (= @t82 @t39))) % 0.46/0.67 (define @t84 () (=> @t83 (= @t81 @t39))) % 0.46/0.67 (define @t85 () (@list @t18 @t19 @t2 @t39 @t71)) % 0.46/0.67 (define @t86 () (forall @t85 @t84)) % 0.46/0.67 (define @t87 () (tptp.tptp_update2 tptp.xinit_defuse tptp.n3 tptp.use)) % 0.46/0.67 (define @t88 () (tptp.tptp_update2 @t87 tptp.n4 tptp.use)) % 0.46/0.67 (define @t89 () (tptp.tptp_update2 @t88 tptp.n5 tptp.use)) % 0.46/0.67 (define @t90 () (tptp.a_select2 @t89 tptp.n5)) % 0.46/0.67 (define @t91 () (tptp.a_select2 @t89 tptp.n4)) % 0.46/0.67 (define @t92 () (tptp.a_select2 @t89 tptp.n3)) % 0.46/0.67 (define @t93 () (tptp.a_select3 tptp.u_defuse tptp.n2 tptp.n0)) % 0.46/0.67 (define @t94 () (= @t93 tptp.use)) % 0.46/0.67 (define @t95 () (tptp.a_select3 tptp.u_defuse tptp.n1 tptp.n0)) % 0.46/0.67 (define @t96 () (= @t95 tptp.use)) % 0.46/0.67 (define @t97 () (tptp.a_select3 tptp.u_defuse tptp.n0 tptp.n0)) % 0.46/0.67 (define @t98 () (= @t97 tptp.use)) % 0.46/0.67 (define @t99 () (and @t98 @t96 @t94 (= @t92 tptp.use) (= @t91 tptp.use) (= @t90 tptp.use))) % 0.46/0.67 (define @t100 () (tptp.a_select2 tptp.xinit_defuse tptp.n5)) % 0.46/0.67 (define @t101 () (tptp.a_select2 tptp.xinit_defuse tptp.n4)) % 0.46/0.67 (define @t102 () (tptp.a_select2 tptp.xinit_defuse tptp.n3)) % 0.46/0.67 (define @t103 () (and @t98 @t96 @t94 (= @t102 tptp.use) (= @t101 tptp.use) (= @t100 tptp.use))) % 0.46/0.67 (define @t104 () (=> @t103 @t99)) % 0.46/0.67 (define @t105 () (not @t104)) % 0.46/0.67 (define @t106 () (= @t2 tptp.n4)) % 0.46/0.67 (define @t107 () (= @t2 tptp.n3)) % 0.46/0.67 (define @t108 () (= @t2 tptp.n2)) % 0.46/0.67 (define @t109 () (= @t2 tptp.n1)) % 0.46/0.67 (define @t110 () (= @t2 tptp.n0)) % 0.46/0.67 (define @t111 () (tptp.succ tptp.n0)) % 0.46/0.67 (define @t112 () (tptp.succ @t111)) % 0.46/0.67 (define @t113 () (tptp.succ @t112)) % 0.46/0.67 (define @t114 () (tptp.succ @t113)) % 0.46/0.67 (define @t115 () (tptp.succ @t114)) % 0.46/0.67 (define @t116 () (@list @t113)) % 0.46/0.67 (define @t117 () (@list @t114)) % 0.46/0.67 (define @t118 () (= @t82 @t81)) % 0.46/0.67 (define @t119 () (or @t72 @t118)) % 0.46/0.67 (define @t120 () (not (= @t82 @t82))) % 0.46/0.67 (define @t121 () (or @t72 @t120 @t118)) % 0.46/0.67 (define @t122 () (@list @t18 @t19 @t2 @t71)) % 0.46/0.67 (define @t123 () (= @t39 @t81)) % 0.46/0.67 (define @t124 () (= @t39 @t82)) % 0.46/0.67 (define @t125 () (not @t124)) % 0.46/0.67 (define @t126 () (or @t125 @t72 @t125 @t123)) % 0.46/0.67 (define @t127 () (@list @t39)) % 0.46/0.67 (define @t128 () (or @t72 @t125 @t123)) % 0.46/0.67 (define @t129 () (forall @t127 @t128)) % 0.46/0.67 (define @t130 () (forall @t122 @t129)) % 0.46/0.67 (define @t131 () (forall (@list @t18 @t19 @t2 @t71 @t39) @t128)) % 0.46/0.67 (define @t132 () (and @t73 @t124)) % 0.46/0.67 (define @t133 () (tptp.a_select2 @t88 tptp.n4)) % 0.46/0.67 (define @t134 () (or (= tptp.n5 tptp.n4) (= @t133 @t91))) % 0.46/0.67 (define @t135 () (forall @t122 @t119)) % 0.46/0.67 (define @t136 () (= @t91 @t133)) % 0.46/0.67 (define @t137 () (= tptp.n4 tptp.n5)) % 0.46/0.67 (define @t138 () (or @t137 @t136)) % 0.46/0.67 (define @t139 () (@list false)) % 0.46/0.67 (define @t140 () (@list @t135)) % 0.46/0.67 (define @t141 () (= tptp.use @t90)) % 0.46/0.67 (define @t142 () (= tptp.use @t133)) % 0.46/0.67 (define @t143 () (and @t141 @t142 @t137)) % 0.46/0.67 (define @t144 () (not @t137)) % 0.46/0.67 (define @t145 () (not @t142)) % 0.46/0.67 (define @t146 () (not @t141)) % 0.46/0.67 (define @t147 () (= tptp.use @t91)) % 0.46/0.67 (define @t148 () (and @t142 @t136)) % 0.46/0.67 (define @t149 () (not @t136)) % 0.46/0.67 (define @t150 () (= tptp.use @t92)) % 0.46/0.67 (define @t151 () (not @t150)) % 0.46/0.67 (define @t152 () (= tptp.n4 @t114)) % 0.46/0.67 (define @t153 () (= tptp.n5 @t115)) % 0.46/0.67 (define @t154 () (= tptp.n3 @t113)) % 0.46/0.67 (define @t155 () (= @t113 (tptp.pred @t114))) % 0.46/0.67 (define @t156 () (tptp.pred @t115)) % 0.46/0.67 (define @t157 () (= @t114 @t156)) % 0.46/0.67 (define @t158 () (and @t152 @t153 @t154 @t155 @t157 @t142 @t137 @t136)) % 0.46/0.67 (define @t159 () (not @t155)) % 0.46/0.67 (define @t160 () (not @t154)) % 0.46/0.67 (define @t161 () (not @t153)) % 0.46/0.67 (define @t162 () (not @t152)) % 0.46/0.67 (define @t163 () (tptp.a_select2 @t88 tptp.n3)) % 0.46/0.67 (define @t164 () (tptp.a_select2 @t87 tptp.n3)) % 0.46/0.67 (define @t165 () (= @t164 @t163)) % 0.46/0.67 (define @t166 () (or (= tptp.n4 tptp.n3) @t165)) % 0.46/0.67 (define @t167 () (= tptp.n3 tptp.n4)) % 0.46/0.67 (define @t168 () (or @t167 @t165)) % 0.46/0.67 (define @t169 () (or (= tptp.n5 tptp.n3) (= @t163 @t92))) % 0.46/0.67 (define @t170 () (= @t92 @t163)) % 0.46/0.67 (define @t171 () (= tptp.n3 tptp.n5)) % 0.46/0.67 (define @t172 () (or @t171 @t170)) % 0.46/0.67 (define @t173 () (and @t141 @t171)) % 0.46/0.67 (define @t174 () (not @t171)) % 0.46/0.67 (define @t175 () (@list true false)) % 0.46/0.67 (define @t176 () (not @t165)) % 0.46/0.67 (define @t177 () (not @t170)) % 0.46/0.67 (define @t178 () (= tptp.use @t164)) % 0.46/0.67 (define @t179 () (not @t178)) % 0.46/0.67 (define @t180 () (and @t151 @t178 @t170)) % 0.46/0.67 (define @t181 () (not @t167)) % 0.46/0.67 (define @t182 () (tptp.pred @t113)) % 0.46/0.67 (define @t183 () (= @t112 @t182)) % 0.46/0.67 (define @t184 () (not @t183)) % 0.46/0.67 (define @t185 () (= @t115 (tptp.plus tptp.n1 @t114))) % 0.46/0.67 (define @t186 () (not @t185)) % 0.46/0.67 (define @t187 () (tptp.plus tptp.n1 @t113)) % 0.46/0.67 (define @t188 () (= @t114 @t187)) % 0.46/0.67 (define @t189 () (not @t188)) % 0.46/0.67 (define @t190 () (= tptp.n2 @t112)) % 0.46/0.67 (define @t191 () (not @t190)) % 0.46/0.67 (define @t192 () (= tptp.n1 @t111)) % 0.46/0.67 (define @t193 () (not @t192)) % 0.46/0.67 (define @t194 () (= tptp.n2 @t113)) % 0.46/0.67 (define @t195 () (= tptp.n2 tptp.n5)) % 0.46/0.67 (define @t196 () (tptp.pred tptp.n3)) % 0.46/0.67 (define @t197 () (and @t152 @t167 @t154 @t194 @t195 @t144)) % 0.46/0.67 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.46/0.67 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.46/0.67 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.46/0.67 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.46/0.67 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.46/0.67 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.46/0.67 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.46/0.67 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.46/0.67 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.46/0.67 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.46/0.67 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.46/0.67 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.46/0.67 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.46/0.67 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.46/0.67 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.46/0.67 (assume @p16 (forall (@list @t18 @t20 @t19 @t17) (=> (and (tptp.leq @t20 @t18) @t21) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t20 @t19) @t17) @t18) @t17)))) % 0.46/0.67 (assume @p17 (forall (@list @t18 @t26 @t25 @t22 @t24 @t23 @t17) (=> (and (tptp.leq @t26 @t18) (tptp.leq @t18 @t25) (tptp.leq @t24 @t22) (tptp.leq @t22 @t23)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t26 @t25) (tptp.dim @t24 @t23) @t17) @t18 @t22) @t17)))) % 0.46/0.67 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.46/0.67 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.46/0.67 (assume @p20 (forall @t37 (=> @t36 (forall (@list @t18 @t22 @t40 @t39) (=> (and @t33 @t32 @t31 @t30 (tptp.leq tptp.n0 @t40) (tptp.leq @t40 @t29)) (= (tptp.a_select3 @t41 @t18 @t22) (tptp.a_select3 @t41 @t22 @t18))))))) % 0.46/0.67 (assume @p21 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))))))) % 0.46/0.67 (assume @p22 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t48 @t18 @t22) (tptp.a_select3 @t48 @t22 @t18))))))) % 0.46/0.67 (assume @p23 (forall @t47 (=> @t45 @t50))) % 0.46/0.67 (assume @p24 (forall (@list @t27 @t42 @t29 @t51) (=> (forall @t35 (=> @t52 @t44)) @t50))) % 0.46/0.67 (assume @p25 (forall (@list @t27 @t42 @t13 @t55 @t53 @t54 @t29 @t51) (=> (and (forall @t35 (=> @t52 (= (tptp.a_select3 @t55 @t18 @t22) (tptp.a_select3 @t55 @t22 @t18)))) @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t54 @t18 @t22) (tptp.a_select3 @t54 @t22 @t18))))) (forall @t35 (=> @t34 (= (tptp.a_select3 @t56 @t18 @t22) (tptp.a_select3 @t56 @t22 @t18))))))) % 0.46/0.67 (assume @p26 (forall @t59 (= @t58 tptp.n0))) % 0.46/0.67 (assume @p27 (forall @t59 (= tptp.tptp_float_0_0 @t58))) % 0.46/0.67 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.46/0.67 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.46/0.67 (assume @p30 @t61) % 0.46/0.67 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t62))) % 0.46/0.67 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t62))) % 0.46/0.67 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t63))) % 0.46/0.67 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t63))) % 0.46/0.67 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t64))) % 0.46/0.67 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t64))) % 0.46/0.67 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t65))) % 0.46/0.67 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t65))) % 0.46/0.67 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t66))) % 0.46/0.67 (assume @p40 @t68) % 0.46/0.67 (assume @p41 (forall @t9 (= (tptp.succ @t66) @t2))) % 0.46/0.67 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.46/0.67 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.46/0.67 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.46/0.67 (assume @p45 (forall (@list @t2 @t19 @t69 @t39) (= (tptp.a_select3 @t70 @t19 @t69) @t39))) % 0.46/0.67 (assume @p46 (forall (@list @t18 @t22 @t19 @t69 @t2 @t39 @t71) (=> (and @t73 (= @t22 @t69) (= (tptp.a_select3 @t2 @t19 @t69) @t39)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t18 @t22 @t71) @t19 @t69) @t39)))) % 0.46/0.67 (assume @p47 (forall (@list @t18 @t22 @t19 @t69 @t2 @t39) (=> (and (forall (@list @t75 @t74) (=> (and @t77 (tptp.leq tptp.n0 @t74) @t76 (tptp.leq @t74 @t69)) (= (tptp.a_select3 @t2 @t75 @t74) @t39))) @t33 @t21 @t31 (tptp.leq @t22 @t69)) (= (tptp.a_select3 @t70 @t18 @t22) @t39)))) % 0.46/0.67 (assume @p48 @t80) % 0.46/0.67 (assume @p49 @t86) % 0.46/0.67 (assume @p50 (forall (@list @t18 @t19 @t2 @t39) (=> (and (forall (@list @t75) (=> (and @t77 @t76) (= (tptp.a_select2 @t2 @t75) @t39))) @t33 @t21) (= (tptp.a_select2 @t78 @t18) @t39)))) % 0.46/0.67 (assume @p51 tptp.true) % 0.46/0.67 (assume @p52 (not (= tptp.def tptp.use))) % 0.46/0.67 (assume @p53 @t105) % 0.46/0.67 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.46/0.67 (assume @p55 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.46/0.67 (assume @p56 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.46/0.67 (assume @p57 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.46/0.67 (assume @p58 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.46/0.67 (assume @p59 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.46/0.67 (assume @p60 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.46/0.67 (assume @p61 (tptp.gt tptp.n4 tptp.n0)) % 0.46/0.67 (assume @p62 (tptp.gt tptp.n5 tptp.n0)) % 0.46/0.67 (assume @p63 (tptp.gt tptp.n1 tptp.n0)) % 0.46/0.67 (assume @p64 (tptp.gt tptp.n2 tptp.n0)) % 0.46/0.67 (assume @p65 (tptp.gt tptp.n3 tptp.n0)) % 0.46/0.67 (assume @p66 (tptp.gt tptp.n4 tptp.n1)) % 0.46/0.67 (assume @p67 (tptp.gt tptp.n5 tptp.n1)) % 0.46/0.67 (assume @p68 (tptp.gt tptp.n2 tptp.n1)) % 0.46/0.67 (assume @p69 (tptp.gt tptp.n3 tptp.n1)) % 0.46/0.67 (assume @p70 (tptp.gt tptp.n4 tptp.n2)) % 0.46/0.67 (assume @p71 (tptp.gt tptp.n5 tptp.n2)) % 0.46/0.67 (assume @p72 (tptp.gt tptp.n3 tptp.n2)) % 0.46/0.67 (assume @p73 (tptp.gt tptp.n4 tptp.n3)) % 0.46/0.67 (assume @p74 (tptp.gt tptp.n5 tptp.n3)) % 0.46/0.67 (assume @p75 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t110 @t109 @t108 @t107 @t106)))) % 0.46/0.67 (assume @p76 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t110 @t109 @t108 @t107 @t106 (= @t2 tptp.n5))))) % 0.46/0.67 (assume @p77 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t110))) % 0.46/0.67 (assume @p78 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t110 @t109)))) % 0.46/0.67 (assume @p79 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t110 @t109 @t108)))) % 0.46/0.67 (assume @p80 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t110 @t109 @t108 @t107)))) % 0.46/0.67 (assume @p81 (= @t114 tptp.n4)) % 0.46/0.67 (assume @p82 (= @t115 tptp.n5)) % 0.46/0.67 (assume @p83 (= @t111 tptp.n1)) % 0.46/0.67 (assume @p84 (= @t112 tptp.n2)) % 0.46/0.67 (assume @p85 (= @t113 tptp.n3)) % 0.46/0.67 (assume @p86 true) % 0.46/0.67 (step @p87 :rule symm :premises (@p81)) % 0.46/0.67 (step @p88 :rule symm :premises (@p82)) % 0.46/0.67 (step @p89 :rule symm :premises (@p83)) % 0.46/0.67 (step @p90 :rule symm :premises (@p84)) % 0.46/0.67 (step @p91 :rule symm :premises (@p85)) % 0.46/0.67 (step @p92 :rule eq-symm :args (@t60 @t11)) % 0.46/0.67 (step @p93 :rule cong :premises (@p92) :args (@t61)) % 0.46/0.67 (step @p94 :rule eq_resolve :premises (@p30 @p93)) % 0.46/0.67 (step @p95 :rule instantiate :premises (@p94) :args (@t116)) % 0.46/0.67 (step @p96 :rule instantiate :premises (@p94) :args (@t117)) % 0.46/0.67 (step @p97 :rule eq-symm :args (@t67 @t2)) % 0.46/0.67 (step @p98 :rule cong :premises (@p97) :args (@t68)) % 0.46/0.67 (step @p99 :rule eq_resolve :premises (@p40 @p98)) % 0.46/0.67 (step @p100 :rule instantiate :premises (@p99) :args ((@list @t112))) % 0.46/0.67 (step @p101 :rule instantiate :premises (@p99) :args (@t116)) % 0.46/0.67 (step @p102 :rule aci_norm :args ((= (or @t72 false @t118) @t119))) % 0.46/0.67 (step @p103 :rule refl :args (@t118)) % 0.46/0.67 (step @p104 :rule evaluate :args ((not true))) % 0.46/0.67 (step @p105 :rule eq-refl :args (@t82)) % 0.46/0.67 (step @p106 :rule cong :premises (@p105) :args (@t120)) % 0.46/0.67 (step @p107 :rule trans :premises (@p106 @p104)) % 0.46/0.67 (step @p108 :rule refl :args (@t72)) % 0.46/0.67 (step @p109 :rule nary_cong :premises (@p108 @p107 @p103) :args (@t121)) % 0.46/0.67 (step @p110 :rule trans :premises (@p109 @p102)) % 0.46/0.67 (step @p111 :rule cong :premises (@p110) :args ((forall @t122 @t121))) % 0.46/0.67 (step @p112 :rule quant-var-elim-eq :args ((= (forall @t127 @t126) @t121))) % 0.46/0.67 (step @p113 :rule aci_norm :args ((= @t128 @t126))) % 0.46/0.67 (step @p114 :rule cong :premises (@p113) :args (@t129)) % 0.46/0.67 (step @p115 :rule trans :premises (@p114 @p112)) % 0.46/0.67 (step @p116 :rule cong :premises (@p115) :args (@t130)) % 0.46/0.67 (step @p117 :rule quant-merge-prenex :args ((= @t130 @t131))) % 0.46/0.67 (step @p118 :rule symm :premises (@p117)) % 0.46/0.67 (step @p119 :rule quant_var_reordering :args ((= (forall @t85 @t128) @t131))) % 0.46/0.67 (step @p120 :rule trans :premises (@p119 @p118 @p116)) % 0.46/0.67 (step @p121 :rule trans :premises (@p120 @p111)) % 0.46/0.67 (step @p122 :rule aci_norm :args ((= (or (or @t72 @t125) @t123) @t128))) % 0.46/0.67 (step @p123 :rule refl :args (@t123)) % 0.46/0.67 (step @p124 :rule refl :args (@t125)) % 0.46/0.67 (step @p125 :rule bool-double-not-elim :args (@t72)) % 0.46/0.67 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or (not @t73) @t125))) % 0.46/0.67 (step @p127 :rule bool-and-de-morgan :args (@t73 @t124 true)) % 0.46/0.67 (step @p128 :rule trans :premises (@p127 @p126)) % 0.46/0.67 (step @p129 :rule nary_cong :premises (@p128 @p123) :args ((or (not @t132) @t123))) % 0.46/0.67 (step @p130 :rule trans :premises (@p129 @p122)) % 0.46/0.67 (step @p131 :rule bool-impl-elim :args (@t132 @t123)) % 0.46/0.67 (step @p132 :rule trans :premises (@p131 @p130)) % 0.46/0.67 (step @p133 :rule cong :premises (@p132) :args ((forall @t85 (=> @t132 @t123)))) % 0.46/0.67 (step @p134 :rule trans :premises (@p133 @p121)) % 0.46/0.67 (step @p135 :rule eq-symm :args (@t81 @t39)) % 0.46/0.67 (step @p136 :rule eq-symm :args (@t82 @t39)) % 0.46/0.67 (step @p137 :rule refl :args (@t73)) % 0.46/0.67 (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t83)) % 0.46/0.67 (step @p139 :rule cong :premises (@p138 @p135) :args (@t84)) % 0.46/0.67 (step @p140 :rule cong :premises (@p139) :args (@t86)) % 0.46/0.67 (step @p141 :rule trans :premises (@p140 @p134)) % 0.46/0.67 (step @p142 :rule eq_resolve :premises (@p49 @p141)) % 0.46/0.67 (step @p143 :rule eq-symm :args (@t133 @t91)) % 0.46/0.67 (step @p144 :rule eq-symm :args (tptp.n5 tptp.n4)) % 0.46/0.67 (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t134)) % 0.46/0.67 (step @p146 :rule refl :args (@t135)) % 0.46/0.67 (step @p147 :rule cong :premises (@p146 @p145) :args ((=> @t135 @t134))) % 0.46/0.67 (assume-push @p474 @t135) % 0.46/0.67 (step @p149 :rule instantiate :premises (@p142) :args ((@list tptp.n5 tptp.n4 @t88 tptp.use))) % 0.46/0.67 (step-pop @p475 :rule scope :premises (@p149)) % 0.46/0.67 (step @p150 :rule process_scope :premises (@p475) :args (@t134)) % 0.46/0.67 (step @p152 :rule eq_resolve :premises (@p150 @p147)) % 0.46/0.67 (step @p153 :rule implies_elim :premises (@p152)) % 0.46/0.67 (step @p154 :rule chain_m_resolution :premises (@p153 @p142) :args (@t138 @t139 @t140)) % 0.46/0.67 (step @p155 :rule cnf_or_pos :args (@t138)) % 0.46/0.67 (step @p156 :rule reordering :premises (@p155) :args ((or @t137 @t136 (not @t138)))) % 0.46/0.67 (step @p157 :rule eq-symm :args (@t79 @t39)) % 0.46/0.67 (step @p158 :rule cong :premises (@p157) :args (@t80)) % 0.46/0.67 (step @p159 :rule eq_resolve :premises (@p48 @p158)) % 0.46/0.67 (step @p160 :rule instantiate :premises (@p159) :args ((@list @t87 tptp.n4 tptp.use))) % 0.46/0.67 (step @p161 :rule instantiate :premises (@p159) :args ((@list @t88 tptp.n5 tptp.use))) % 0.46/0.67 (assume-push @p476 @t141) % 0.46/0.67 (assume-push @p477 @t142) % 0.46/0.67 (assume-push @p478 @t137) % 0.46/0.67 (assume-push @p479 @t142) % 0.46/0.67 (assume-push @p480 @t141) % 0.46/0.67 (assume-push @p481 @t137) % 0.46/0.67 (step @p168 :rule symm :premises (@p161)) % 0.46/0.67 (step @p169 :rule refl :args (@t89)) % 0.46/0.67 (step @p170 :rule cong :premises (@p169 @p478) :args (@t91)) % 0.46/0.67 (step @p171 :rule trans :premises (@p170 @p168 @p160)) % 0.46/0.67 (step-pop @p482 :rule scope :premises (@p171)) % 0.46/0.67 (step-pop @p483 :rule scope :premises (@p482)) % 0.46/0.67 (step-pop @p484 :rule scope :premises (@p483)) % 0.46/0.67 (step @p172 :rule process_scope :premises (@p484) :args (@t136)) % 0.46/0.67 (step @p176 :rule and_intro :premises (@p160 @p161 @p478)) % 0.46/0.67 (step @p177 :rule 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(step @p192 :rule symm :premises (@p489)) % 0.46/0.67 (step @p193 :rule trans :premises (@p160 @p192)) % 0.46/0.67 (step-pop @p492 :rule scope :premises (@p193)) % 0.46/0.67 (step-pop @p493 :rule scope :premises (@p492)) % 0.46/0.67 (step @p194 :rule process_scope :premises (@p493) :args (@t147)) % 0.46/0.67 (step @p197 :rule and_intro :premises (@p489 @p160)) % 0.46/0.67 (step @p198 :rule modus_ponens :premises (@p197 @p194)) % 0.46/0.67 (step-pop @p494 :rule scope :premises (@p198)) % 0.46/0.67 (step-pop @p495 :rule scope :premises (@p494)) % 0.46/0.67 (step @p199 :rule process_scope :premises (@p495) :args (@t147)) % 0.46/0.67 (step @p202 :rule implies_elim :premises (@p199)) % 0.46/0.67 (step @p203 :rule cnf_and_neg :args (@t148)) % 0.46/0.67 (step @p204 :rule resolution :premises (@p203 @p202) :args (true @t148)) % 0.46/0.67 (step @p205 :rule reordering :premises (@p204) :args ((or @t147 @t145 @t149))) % 0.46/0.67 (step @p206 :rule chain_m_resolution :premises (@p205 @p160 @p186) 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:rule scope :premises (@p455)) % 0.46/0.67 (step-pop @p608 :rule scope :premises (@p607)) % 0.46/0.67 (step-pop @p609 :rule scope :premises (@p608)) % 0.46/0.67 (step-pop @p610 :rule scope :premises (@p609)) % 0.46/0.67 (step-pop @p611 :rule scope :premises (@p610)) % 0.46/0.67 (step-pop @p612 :rule scope :premises (@p611)) % 0.46/0.67 (step-pop @p613 :rule scope :premises (@p612)) % 0.46/0.67 (step-pop @p614 :rule scope :premises (@p613)) % 0.46/0.67 (step-pop @p615 :rule scope :premises (@p614)) % 0.46/0.67 (step-pop @p616 :rule scope :premises (@p615)) % 0.46/0.67 (step-pop @p617 :rule scope :premises (@p616)) % 0.46/0.67 (step @p456 :rule process_scope :premises (@p617) :args (@t197)) % 0.46/0.67 (step @p468 :rule implies_elim :premises (@p456)) % 0.46/0.67 (step @p469 :rule resolution :premises (@p468 @p387) :args (true @t197)) % 0.46/0.67 (step @p470 :rule not_and :premises (@p469)) % 0.46/0.67 (step @p471 :rule eq_resolve :premises (@p470 @p370)) % 0.46/0.67 (step @p472 :rule reordering :premises (@p471) :args ((or @t162 @t161 @t193 @t191 @t160 @t137 @t189 @t186 @t184 @t159 @t181))) % 0.46/0.67 (step @p473 false :rule chain_m_resolution :premises (@p472 @p358 @p277 @p101 @p100 @p96 @p95 @p91 @p90 @p89 @p88 @p87) :args (false (@list false true false false false false false false false false false) (@list @t167 @t137 @t155 @t183 @t185 @t188 @t154 @t190 @t192 @t153 @t152))) % 0.46/0.67 ) % 0.46/0.67 % SZS output end Proof % 0.46/0.67 % cvc5 exiting %------------------------------------------------------------------------------