%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV102+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 : n006.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 0.45s 0.64s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV102+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 % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:54:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.64 % SZS status Theorem % 0.45/0.64 % SZS output start Proof % 0.45/0.64 ( % 0.45/0.64 (declare-sort $$unsorted 0) % 0.45/0.64 (declare-const tptp.sigma_defuse $$unsorted) % 0.45/0.64 (declare-const tptp.rho_defuse $$unsorted) % 0.45/0.64 (declare-const tptp.def $$unsorted) % 0.45/0.64 (declare-const tptp.use $$unsorted) % 0.45/0.64 (declare-const tptp.true Bool) % 0.45/0.64 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.xinit_defuse $$unsorted) % 0.45/0.64 (declare-const tptp.n3 $$unsorted) % 0.45/0.64 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.45/0.64 (declare-const tptp.n0 $$unsorted) % 0.45/0.64 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.n1 $$unsorted) % 0.45/0.64 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.n5 $$unsorted) % 0.45/0.64 (declare-const tptp.u_defuse $$unsorted) % 0.45/0.64 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.45/0.64 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.64 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.45/0.64 (declare-const tptp.n4 $$unsorted) % 0.45/0.64 (declare-const tptp.n2 $$unsorted) % 0.45/0.64 (define @t1 () (@var "Y" $$unsorted)) % 0.45/0.64 (define @t2 () (@var "X" $$unsorted)) % 0.45/0.64 (define @t3 () (= @t2 @t1)) % 0.45/0.64 (define @t4 () (tptp.gt @t1 @t2)) % 0.45/0.64 (define @t5 () (tptp.gt @t2 @t1)) % 0.45/0.64 (define @t6 () (@list @t2 @t1)) % 0.45/0.64 (define @t7 () (@var "Z" $$unsorted)) % 0.45/0.64 (define @t8 () (@list @t2 @t1 @t7)) % 0.45/0.64 (define @t9 () (@list @t2)) % 0.45/0.64 (define @t10 () (tptp.leq @t2 @t1)) % 0.45/0.64 (define @t11 () (tptp.succ @t2)) % 0.45/0.64 (define @t12 () (tptp.succ @t1)) % 0.45/0.64 (define @t13 () (@var "C" $$unsorted)) % 0.45/0.64 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.45/0.64 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.45/0.64 (define @t16 () (@list @t2 @t13)) % 0.45/0.64 (define @t17 () (@var "Val" $$unsorted)) % 0.45/0.64 (define @t18 () (@var "I" $$unsorted)) % 0.45/0.64 (define @t19 () (@var "U" $$unsorted)) % 0.45/0.64 (define @t20 () (@var "L" $$unsorted)) % 0.45/0.64 (define @t21 () (tptp.leq @t18 @t19)) % 0.45/0.64 (define @t22 () (@var "J" $$unsorted)) % 0.45/0.64 (define @t23 () (@var "U2" $$unsorted)) % 0.45/0.64 (define @t24 () (@var "L2" $$unsorted)) % 0.45/0.64 (define @t25 () (@var "U1" $$unsorted)) % 0.45/0.64 (define @t26 () (@var "L1" $$unsorted)) % 0.45/0.64 (define @t27 () (@var "A" $$unsorted)) % 0.45/0.64 (define @t28 () (tptp.trans @t27)) % 0.45/0.64 (define @t29 () (@var "N" $$unsorted)) % 0.45/0.64 (define @t30 () (tptp.leq @t22 @t29)) % 0.45/0.64 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.45/0.64 (define @t32 () (tptp.leq @t18 @t29)) % 0.45/0.64 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.45/0.64 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.45/0.64 (define @t35 () (@list @t18 @t22)) % 0.45/0.64 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.45/0.64 (define @t37 () (@list @t27 @t29)) % 0.45/0.64 (define @t38 () (tptp.inv @t27)) % 0.45/0.64 (define @t39 () (@var "VAL" $$unsorted)) % 0.45/0.64 (define @t40 () (@var "K" $$unsorted)) % 0.45/0.64 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.45/0.64 (define @t42 () (@var "B" $$unsorted)) % 0.45/0.64 (define @t43 () (tptp.tptp_madd @t27 @t42)) % 0.45/0.64 (define @t44 () (= (tptp.a_select3 @t42 @t18 @t22) (tptp.a_select3 @t42 @t22 @t18))) % 0.45/0.64 (define @t45 () (forall @t35 (=> @t34 @t44))) % 0.45/0.64 (define @t46 () (and @t36 @t45)) % 0.45/0.64 (define @t47 () (@list @t27 @t42 @t29)) % 0.45/0.64 (define @t48 () (tptp.tptp_msub @t27 @t42)) % 0.45/0.64 (define @t49 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t42 @t28))) % 0.45/0.64 (define @t50 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))) % 0.45/0.64 (define @t51 () (@var "M" $$unsorted)) % 0.45/0.64 (define @t52 () (and @t33 (tptp.leq @t18 @t51) @t31 (tptp.leq @t22 @t51))) % 0.45/0.64 (define @t53 () (@var "E" $$unsorted)) % 0.45/0.64 (define @t54 () (@var "F" $$unsorted)) % 0.45/0.64 (define @t55 () (@var "D" $$unsorted)) % 0.45/0.64 (define @t56 () (tptp.tptp_madd @t27 (tptp.tptp_mmul @t42 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t13 (tptp.tptp_mmul @t55 (tptp.trans @t13))) (tptp.tptp_mmul @t53 (tptp.tptp_mmul @t54 (tptp.trans @t53)))) (tptp.trans @t42))))) % 0.45/0.64 (define @t57 () (@var "Body" $$unsorted)) % 0.45/0.64 (define @t58 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t57)) % 0.45/0.64 (define @t59 () (@list @t57)) % 0.45/0.64 (define @t60 () (tptp.succ tptp.tptp_minus_1)) % 0.45/0.64 (define @t61 () (tptp.plus @t2 tptp.n1)) % 0.45/0.64 (define @t62 () (forall @t9 (= @t61 @t11))) % 0.45/0.64 (define @t63 () (tptp.plus tptp.n1 @t2)) % 0.45/0.64 (define @t64 () (forall @t9 (= @t63 @t11))) % 0.45/0.64 (define @t65 () (tptp.succ @t11)) % 0.45/0.64 (define @t66 () (tptp.succ @t65)) % 0.45/0.64 (define @t67 () (tptp.succ @t66)) % 0.45/0.64 (define @t68 () (tptp.succ @t67)) % 0.45/0.64 (define @t69 () (tptp.pred @t2)) % 0.45/0.64 (define @t70 () (tptp.pred @t11)) % 0.45/0.64 (define @t71 () (forall @t9 (= @t70 @t2))) % 0.45/0.64 (define @t72 () (@var "V" $$unsorted)) % 0.45/0.64 (define @t73 () (tptp.tptp_update3 @t2 @t19 @t72 @t39)) % 0.45/0.64 (define @t74 () (@var "VAL2" $$unsorted)) % 0.45/0.64 (define @t75 () (= @t18 @t19)) % 0.45/0.64 (define @t76 () (not @t75)) % 0.45/0.64 (define @t77 () (@var "J0" $$unsorted)) % 0.45/0.64 (define @t78 () (@var "I0" $$unsorted)) % 0.45/0.64 (define @t79 () (tptp.leq @t78 @t19)) % 0.45/0.64 (define @t80 () (tptp.leq tptp.n0 @t78)) % 0.45/0.64 (define @t81 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.45/0.64 (define @t82 () (tptp.a_select2 @t81 @t19)) % 0.45/0.64 (define @t83 () (forall (@list @t2 @t19 @t39) (= @t82 @t39))) % 0.45/0.64 (define @t84 () (tptp.a_select2 (tptp.tptp_update2 @t2 @t18 @t74) @t19)) % 0.45/0.64 (define @t85 () (tptp.a_select2 @t2 @t19)) % 0.45/0.64 (define @t86 () (and @t76 (= @t85 @t39))) % 0.45/0.64 (define @t87 () (=> @t86 (= @t84 @t39))) % 0.45/0.64 (define @t88 () (@list @t18 @t19 @t2 @t39 @t74)) % 0.45/0.64 (define @t89 () (forall @t88 @t87)) % 0.45/0.64 (define @t90 () (tptp.tptp_update2 tptp.rho_defuse tptp.n0 tptp.use)) % 0.45/0.64 (define @t91 () (tptp.tptp_update2 @t90 tptp.n1 tptp.use)) % 0.45/0.64 (define @t92 () (tptp.tptp_update2 @t91 tptp.n2 tptp.use)) % 0.45/0.64 (define @t93 () (tptp.a_select2 @t92 tptp.n2)) % 0.45/0.64 (define @t94 () (tptp.a_select2 @t92 tptp.n1)) % 0.45/0.64 (define @t95 () (tptp.a_select2 @t92 tptp.n0)) % 0.45/0.64 (define @t96 () (tptp.a_select2 tptp.xinit_defuse tptp.n5)) % 0.45/0.64 (define @t97 () (= @t96 tptp.use)) % 0.45/0.64 (define @t98 () (tptp.a_select2 tptp.xinit_defuse tptp.n4)) % 0.45/0.64 (define @t99 () (= @t98 tptp.use)) % 0.45/0.64 (define @t100 () (tptp.a_select2 tptp.xinit_defuse tptp.n3)) % 0.45/0.64 (define @t101 () (= @t100 tptp.use)) % 0.45/0.64 (define @t102 () (tptp.a_select3 tptp.u_defuse tptp.n2 tptp.n0)) % 0.45/0.64 (define @t103 () (= @t102 tptp.use)) % 0.45/0.64 (define @t104 () (tptp.a_select3 tptp.u_defuse tptp.n1 tptp.n0)) % 0.45/0.64 (define @t105 () (= @t104 tptp.use)) % 0.45/0.64 (define @t106 () (tptp.a_select3 tptp.u_defuse tptp.n0 tptp.n0)) % 0.45/0.64 (define @t107 () (= @t106 tptp.use)) % 0.45/0.64 (define @t108 () (tptp.a_select2 tptp.sigma_defuse tptp.n5)) % 0.45/0.64 (define @t109 () (= @t108 tptp.use)) % 0.45/0.64 (define @t110 () (tptp.a_select2 tptp.sigma_defuse tptp.n4)) % 0.45/0.64 (define @t111 () (= @t110 tptp.use)) % 0.45/0.64 (define @t112 () (tptp.a_select2 tptp.sigma_defuse tptp.n3)) % 0.45/0.64 (define @t113 () (= @t112 tptp.use)) % 0.45/0.64 (define @t114 () (tptp.a_select2 tptp.sigma_defuse tptp.n2)) % 0.45/0.64 (define @t115 () (= @t114 tptp.use)) % 0.45/0.64 (define @t116 () (tptp.a_select2 tptp.sigma_defuse tptp.n1)) % 0.45/0.64 (define @t117 () (= @t116 tptp.use)) % 0.45/0.64 (define @t118 () (tptp.a_select2 tptp.sigma_defuse tptp.n0)) % 0.45/0.64 (define @t119 () (= @t118 tptp.use)) % 0.45/0.64 (define @t120 () (and @t119 @t117 @t115 @t113 @t111 @t109 @t107 @t105 @t103 @t101 @t99 @t97 (= @t95 tptp.use) (= @t94 tptp.use) (= @t93 tptp.use))) % 0.45/0.64 (define @t121 () (and @t119 @t117 @t115 @t113 @t111 @t109 @t107 @t105 @t103 @t101 @t99 @t97)) % 0.45/0.64 (define @t122 () (=> @t121 @t120)) % 0.45/0.64 (define @t123 () (not @t122)) % 0.45/0.64 (define @t124 () (= @t2 tptp.n4)) % 0.45/0.64 (define @t125 () (= @t2 tptp.n3)) % 0.45/0.64 (define @t126 () (= @t2 tptp.n2)) % 0.45/0.64 (define @t127 () (= @t2 tptp.n1)) % 0.45/0.64 (define @t128 () (= @t2 tptp.n0)) % 0.45/0.64 (define @t129 () (tptp.succ tptp.n0)) % 0.45/0.64 (define @t130 () (tptp.succ @t129)) % 0.45/0.64 (define @t131 () (tptp.succ @t130)) % 0.45/0.64 (define @t132 () (tptp.succ @t131)) % 0.45/0.64 (define @t133 () (@list tptp.n0)) % 0.45/0.64 (define @t134 () (= @t85 @t84)) % 0.45/0.64 (define @t135 () (or @t75 @t134)) % 0.45/0.64 (define @t136 () (not (= @t85 @t85))) % 0.45/0.64 (define @t137 () (or @t75 @t136 @t134)) % 0.45/0.64 (define @t138 () (@list @t18 @t19 @t2 @t74)) % 0.45/0.64 (define @t139 () (= @t39 @t84)) % 0.45/0.64 (define @t140 () (= @t39 @t85)) % 0.45/0.64 (define @t141 () (not @t140)) % 0.45/0.64 (define @t142 () (or @t141 @t75 @t141 @t139)) % 0.45/0.64 (define @t143 () (@list @t39)) % 0.45/0.64 (define @t144 () (or @t75 @t141 @t139)) % 0.45/0.64 (define @t145 () (forall @t143 @t144)) % 0.45/0.64 (define @t146 () (forall @t138 @t145)) % 0.45/0.64 (define @t147 () (forall (@list @t18 @t19 @t2 @t74 @t39) @t144)) % 0.45/0.64 (define @t148 () (and @t76 @t140)) % 0.45/0.64 (define @t149 () (tptp.a_select2 @t91 tptp.n1)) % 0.45/0.64 (define @t150 () (or (= tptp.n2 tptp.n1) (= @t149 @t94))) % 0.45/0.64 (define @t151 () (forall @t138 @t135)) % 0.45/0.64 (define @t152 () (= @t94 @t149)) % 0.45/0.64 (define @t153 () (= tptp.n1 tptp.n2)) % 0.45/0.64 (define @t154 () (or @t153 @t152)) % 0.45/0.64 (define @t155 () (@list false)) % 0.45/0.64 (define @t156 () (@list @t151)) % 0.45/0.64 (define @t157 () (= tptp.use @t93)) % 0.45/0.64 (define @t158 () (= tptp.use @t149)) % 0.45/0.64 (define @t159 () (and @t157 @t158 @t153)) % 0.45/0.64 (define @t160 () (not @t158)) % 0.45/0.64 (define @t161 () (not @t157)) % 0.45/0.64 (define @t162 () (= tptp.use @t94)) % 0.45/0.64 (define @t163 () (and @t158 @t152)) % 0.45/0.64 (define @t164 () (= tptp.use @t95)) % 0.45/0.64 (define @t165 () (not @t164)) % 0.45/0.64 (define @t166 () (= tptp.n0 tptp.n2)) % 0.45/0.64 (define @t167 () (and @t157 @t166)) % 0.45/0.64 (define @t168 () (not @t166)) % 0.45/0.64 (define @t169 () (@list true false)) % 0.45/0.64 (define @t170 () (tptp.a_select2 @t91 tptp.n0)) % 0.45/0.64 (define @t171 () (tptp.a_select2 @t90 tptp.n0)) % 0.45/0.64 (define @t172 () (= @t171 @t170)) % 0.45/0.64 (define @t173 () (or (= tptp.n1 tptp.n0) @t172)) % 0.45/0.64 (define @t174 () (= tptp.n0 tptp.n1)) % 0.45/0.64 (define @t175 () (or @t174 @t172)) % 0.45/0.64 (define @t176 () (or (= tptp.n2 tptp.n0) (= @t170 @t95))) % 0.45/0.64 (define @t177 () (= @t95 @t170)) % 0.45/0.64 (define @t178 () (or @t166 @t177)) % 0.45/0.64 (define @t179 () (not @t172)) % 0.45/0.64 (define @t180 () (not @t177)) % 0.45/0.64 (define @t181 () (= tptp.use @t171)) % 0.45/0.64 (define @t182 () (not @t181)) % 0.45/0.64 (define @t183 () (and @t165 @t181 @t177)) % 0.45/0.64 (define @t184 () (not @t174)) % 0.45/0.64 (define @t185 () (tptp.pred @t60)) % 0.45/0.64 (define @t186 () (= tptp.tptp_minus_1 @t185)) % 0.45/0.64 (define @t187 () (not @t186)) % 0.45/0.64 (define @t188 () (= tptp.n0 (tptp.pred @t129))) % 0.45/0.64 (define @t189 () (not @t188)) % 0.45/0.64 (define @t190 () (tptp.plus tptp.n1 tptp.n0)) % 0.45/0.64 (define @t191 () (= @t129 @t190)) % 0.45/0.64 (define @t192 () (not @t191)) % 0.45/0.64 (define @t193 () (= @t130 (tptp.plus @t129 tptp.n1))) % 0.45/0.64 (define @t194 () (not @t193)) % 0.45/0.64 (define @t195 () (= tptp.n2 @t130)) % 0.45/0.64 (define @t196 () (not @t195)) % 0.45/0.64 (define @t197 () (= tptp.n1 @t129)) % 0.45/0.64 (define @t198 () (not @t197)) % 0.45/0.64 (define @t199 () (= tptp.n0 @t60)) % 0.45/0.64 (define @t200 () (not @t199)) % 0.45/0.64 (define @t201 () (= tptp.tptp_minus_1 tptp.n1)) % 0.45/0.64 (define @t202 () (= tptp.tptp_minus_1 tptp.n2)) % 0.45/0.64 (define @t203 () (tptp.pred tptp.n0)) % 0.45/0.64 (define @t204 () (and @t199 @t174 @t201 @t202 @t168)) % 0.45/0.64 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.45/0.64 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.45/0.64 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.45/0.64 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.45/0.64 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.45/0.64 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.45/0.64 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.45/0.64 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.45/0.64 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.45/0.64 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.45/0.64 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.45/0.64 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.45/0.64 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.45/0.64 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.45/0.64 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.45/0.64 (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)))) % 0.45/0.64 (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)))) % 0.45/0.64 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.45/0.64 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.45/0.64 (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))))))) % 0.45/0.64 (assume @p21 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))))))) % 0.45/0.64 (assume @p22 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t48 @t18 @t22) (tptp.a_select3 @t48 @t22 @t18))))))) % 0.45/0.64 (assume @p23 (forall @t47 (=> @t45 @t50))) % 0.45/0.64 (assume @p24 (forall (@list @t27 @t42 @t29 @t51) (=> (forall @t35 (=> @t52 @t44)) @t50))) % 0.45/0.64 (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))))))) % 0.45/0.64 (assume @p26 (forall @t59 (= @t58 tptp.n0))) % 0.45/0.64 (assume @p27 (forall @t59 (= tptp.tptp_float_0_0 @t58))) % 0.45/0.64 (assume @p28 (= @t60 tptp.n0)) % 0.45/0.64 (assume @p29 @t62) % 0.45/0.64 (assume @p30 @t64) % 0.45/0.64 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t65))) % 0.45/0.64 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t65))) % 0.45/0.64 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t66))) % 0.45/0.64 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t66))) % 0.45/0.64 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t67))) % 0.45/0.64 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t67))) % 0.45/0.64 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t68))) % 0.45/0.64 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t68))) % 0.45/0.64 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t69))) % 0.45/0.64 (assume @p40 @t71) % 0.45/0.64 (assume @p41 (forall @t9 (= (tptp.succ @t69) @t2))) % 0.45/0.64 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.45/0.64 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.45/0.64 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.45/0.64 (assume @p45 (forall (@list @t2 @t19 @t72 @t39) (= (tptp.a_select3 @t73 @t19 @t72) @t39))) % 0.45/0.64 (assume @p46 (forall (@list @t18 @t22 @t19 @t72 @t2 @t39 @t74) (=> (and @t76 (= @t22 @t72) (= (tptp.a_select3 @t2 @t19 @t72) @t39)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t18 @t22 @t74) @t19 @t72) @t39)))) % 0.45/0.64 (assume @p47 (forall (@list @t18 @t22 @t19 @t72 @t2 @t39) (=> (and (forall (@list @t78 @t77) (=> (and @t80 (tptp.leq tptp.n0 @t77) @t79 (tptp.leq @t77 @t72)) (= (tptp.a_select3 @t2 @t78 @t77) @t39))) @t33 @t21 @t31 (tptp.leq @t22 @t72)) (= (tptp.a_select3 @t73 @t18 @t22) @t39)))) % 0.45/0.64 (assume @p48 @t83) % 0.45/0.64 (assume @p49 @t89) % 0.45/0.64 (assume @p50 (forall (@list @t18 @t19 @t2 @t39) (=> (and (forall (@list @t78) (=> (and @t80 @t79) (= (tptp.a_select2 @t2 @t78) @t39))) @t33 @t21) (= (tptp.a_select2 @t81 @t18) @t39)))) % 0.45/0.64 (assume @p51 tptp.true) % 0.45/0.64 (assume @p52 (not (= tptp.def tptp.use))) % 0.45/0.64 (assume @p53 @t123) % 0.45/0.64 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.45/0.64 (assume @p55 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.45/0.64 (assume @p56 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.45/0.64 (assume @p57 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.45/0.64 (assume @p58 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.45/0.64 (assume @p59 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.45/0.64 (assume @p60 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.45/0.64 (assume @p61 (tptp.gt tptp.n4 tptp.n0)) % 0.45/0.64 (assume @p62 (tptp.gt tptp.n5 tptp.n0)) % 0.45/0.64 (assume @p63 (tptp.gt tptp.n1 tptp.n0)) % 0.45/0.64 (assume @p64 (tptp.gt tptp.n2 tptp.n0)) % 0.45/0.64 (assume @p65 (tptp.gt tptp.n3 tptp.n0)) % 0.45/0.64 (assume @p66 (tptp.gt tptp.n4 tptp.n1)) % 0.45/0.64 (assume @p67 (tptp.gt tptp.n5 tptp.n1)) % 0.45/0.64 (assume @p68 (tptp.gt tptp.n2 tptp.n1)) % 0.45/0.64 (assume @p69 (tptp.gt tptp.n3 tptp.n1)) % 0.45/0.64 (assume @p70 (tptp.gt tptp.n4 tptp.n2)) % 0.45/0.64 (assume @p71 (tptp.gt tptp.n5 tptp.n2)) % 0.45/0.64 (assume @p72 (tptp.gt tptp.n3 tptp.n2)) % 0.45/0.64 (assume @p73 (tptp.gt tptp.n4 tptp.n3)) % 0.45/0.64 (assume @p74 (tptp.gt tptp.n5 tptp.n3)) % 0.45/0.64 (assume @p75 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t128 @t127 @t126 @t125 @t124)))) % 0.45/0.64 (assume @p76 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t128 @t127 @t126 @t125 @t124 (= @t2 tptp.n5))))) % 0.45/0.64 (assume @p77 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t128))) % 0.45/0.64 (assume @p78 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t128 @t127)))) % 0.45/0.64 (assume @p79 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t128 @t127 @t126)))) % 0.45/0.64 (assume @p80 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t128 @t127 @t126 @t125)))) % 0.45/0.64 (assume @p81 (= @t132 tptp.n4)) % 0.45/0.64 (assume @p82 (= (tptp.succ @t132) tptp.n5)) % 0.45/0.64 (assume @p83 (= @t129 tptp.n1)) % 0.45/0.64 (assume @p84 (= @t130 tptp.n2)) % 0.45/0.64 (assume @p85 (= @t131 tptp.n3)) % 0.45/0.64 (assume @p86 true) % 0.45/0.64 (step @p87 :rule symm :premises (@p28)) % 0.45/0.64 (step @p88 :rule symm :premises (@p83)) % 0.45/0.64 (step @p89 :rule symm :premises (@p84)) % 0.45/0.64 (step @p90 :rule eq-symm :args (@t61 @t11)) % 0.45/0.64 (step @p91 :rule cong :premises (@p90) :args (@t62)) % 0.45/0.64 (step @p92 :rule eq_resolve :premises (@p29 @p91)) % 0.45/0.64 (step @p93 :rule instantiate :premises (@p92) :args ((@list @t129))) % 0.45/0.64 (step @p94 :rule eq-symm :args (@t63 @t11)) % 0.45/0.64 (step @p95 :rule cong :premises (@p94) :args (@t64)) % 0.45/0.64 (step @p96 :rule eq_resolve :premises (@p30 @p95)) % 0.45/0.64 (step @p97 :rule instantiate :premises (@p96) :args (@t133)) % 0.45/0.64 (step @p98 :rule eq-symm :args (@t70 @t2)) % 0.45/0.64 (step @p99 :rule cong :premises (@p98) :args (@t71)) % 0.45/0.64 (step @p100 :rule eq_resolve :premises (@p40 @p99)) % 0.45/0.64 (step @p101 :rule instantiate :premises (@p100) :args (@t133)) % 0.45/0.64 (step @p102 :rule instantiate :premises (@p100) :args ((@list tptp.tptp_minus_1))) % 0.45/0.64 (step @p103 :rule eq-symm :args (@t82 @t39)) % 0.45/0.64 (step @p104 :rule cong :premises (@p103) :args (@t83)) % 0.45/0.64 (step @p105 :rule eq_resolve :premises (@p48 @p104)) % 0.45/0.64 (step @p106 :rule instantiate :premises (@p105) :args ((@list @t91 tptp.n2 tptp.use))) % 0.45/0.64 (step @p107 :rule aci_norm :args ((= (or @t75 false @t134) @t135))) % 0.45/0.64 (step @p108 :rule refl :args (@t134)) % 0.45/0.64 (step @p109 :rule evaluate :args ((not true))) % 0.45/0.64 (step @p110 :rule eq-refl :args (@t85)) % 0.45/0.64 (step @p111 :rule cong :premises (@p110) :args (@t136)) % 0.45/0.64 (step @p112 :rule trans :premises (@p111 @p109)) % 0.45/0.64 (step @p113 :rule refl :args (@t75)) % 0.45/0.64 (step @p114 :rule nary_cong :premises (@p113 @p112 @p108) :args (@t137)) % 0.45/0.64 (step @p115 :rule trans :premises (@p114 @p107)) % 0.45/0.64 (step @p116 :rule cong :premises (@p115) :args ((forall @t138 @t137))) % 0.45/0.64 (step @p117 :rule quant-var-elim-eq :args ((= (forall @t143 @t142) @t137))) % 0.45/0.64 (step @p118 :rule aci_norm :args ((= @t144 @t142))) % 0.45/0.64 (step @p119 :rule cong :premises (@p118) :args (@t145)) % 0.45/0.64 (step @p120 :rule trans :premises (@p119 @p117)) % 0.45/0.64 (step @p121 :rule cong :premises (@p120) :args (@t146)) % 0.45/0.64 (step @p122 :rule quant-merge-prenex :args ((= @t146 @t147))) % 0.45/0.64 (step @p123 :rule symm :premises (@p122)) % 0.45/0.64 (step @p124 :rule quant_var_reordering :args ((= (forall @t88 @t144) @t147))) % 0.45/0.64 (step @p125 :rule trans :premises (@p124 @p123 @p121)) % 0.45/0.64 (step @p126 :rule trans :premises (@p125 @p116)) % 0.45/0.64 (step @p127 :rule aci_norm :args ((= (or (or @t75 @t141) @t139) @t144))) % 0.45/0.64 (step @p128 :rule refl :args (@t139)) % 0.45/0.64 (step @p129 :rule refl :args (@t141)) % 0.45/0.64 (step @p130 :rule bool-double-not-elim :args (@t75)) % 0.45/0.64 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or (not @t76) @t141))) % 0.45/0.64 (step @p132 :rule bool-and-de-morgan :args (@t76 @t140 true)) % 0.45/0.64 (step @p133 :rule trans :premises (@p132 @p131)) % 0.45/0.64 (step @p134 :rule nary_cong :premises (@p133 @p128) :args ((or (not @t148) @t139))) % 0.45/0.64 (step @p135 :rule trans :premises (@p134 @p127)) % 0.45/0.64 (step @p136 :rule bool-impl-elim :args (@t148 @t139)) % 0.45/0.64 (step @p137 :rule trans :premises (@p136 @p135)) % 0.45/0.64 (step @p138 :rule cong :premises (@p137) :args ((forall @t88 (=> @t148 @t139)))) % 0.45/0.64 (step @p139 :rule trans :premises (@p138 @p126)) % 0.45/0.64 (step @p140 :rule eq-symm :args (@t84 @t39)) % 0.45/0.64 (step @p141 :rule eq-symm :args (@t85 @t39)) % 0.45/0.64 (step @p142 :rule refl :args (@t76)) % 0.45/0.64 (step @p143 :rule nary_cong :premises (@p142 @p141) :args (@t86)) % 0.45/0.64 (step @p144 :rule cong :premises (@p143 @p140) :args (@t87)) % 0.45/0.64 (step @p145 :rule cong :premises (@p144) :args (@t89)) % 0.45/0.64 (step @p146 :rule trans :premises (@p145 @p139)) % 0.45/0.64 (step @p147 :rule eq_resolve :premises (@p49 @p146)) % 0.45/0.64 (step @p148 :rule eq-symm :args (@t149 @t94)) % 0.45/0.64 (step @p149 :rule eq-symm :args (tptp.n2 tptp.n1)) % 0.45/0.64 (step @p150 :rule nary_cong :premises (@p149 @p148) :args (@t150)) % 0.45/0.64 (step @p151 :rule refl :args (@t151)) % 0.45/0.64 (step @p152 :rule cong :premises (@p151 @p150) :args ((=> @t151 @t150))) % 0.45/0.64 (assume-push @p426 @t151) % 0.45/0.64 (step @p154 :rule instantiate :premises (@p147) :args ((@list tptp.n2 tptp.n1 @t91 tptp.use))) % 0.45/0.64 (step-pop @p427 :rule scope :premises (@p154)) % 0.45/0.64 (step @p155 :rule process_scope :premises (@p427) :args (@t150)) % 0.45/0.64 (step @p157 :rule eq_resolve :premises (@p155 @p152)) % 0.45/0.64 (step @p158 :rule implies_elim :premises (@p157)) % 0.45/0.64 (step @p159 :rule chain_m_resolution :premises (@p158 @p147) :args (@t154 @t155 @t156)) % 0.45/0.64 (step @p160 :rule cnf_or_pos :args (@t154)) % 0.45/0.64 (step @p161 :rule reordering :premises (@p160) :args ((or @t153 @t152 (not @t154)))) % 0.45/0.64 (step @p162 :rule instantiate :premises (@p105) :args ((@list @t90 tptp.n1 tptp.use))) % 0.45/0.64 (assume-push @p428 @t157) % 0.45/0.64 (assume-push @p429 @t158) % 0.45/0.64 (assume-push @p430 @t153) % 0.45/0.64 (assume-push @p431 @t158) % 0.45/0.64 (assume-push @p432 @t157) % 0.45/0.64 (assume-push @p433 @t153) % 0.45/0.64 (step @p169 :rule symm :premises (@p106)) % 0.45/0.64 (step @p170 :rule refl :args (@t92)) % 0.45/0.64 (step @p171 :rule cong :premises (@p170 @p430) :args (@t94)) % 0.45/0.64 (step @p172 :rule trans :premises (@p171 @p169 @p162)) % 0.45/0.64 (step-pop @p434 :rule scope :premises (@p172)) % 0.45/0.64 (step-pop @p435 :rule scope :premises (@p434)) % 0.45/0.64 (step-pop @p436 :rule scope :premises (@p435)) % 0.45/0.64 (step @p173 :rule process_scope :premises (@p436) :args (@t152)) % 0.45/0.64 (step @p177 :rule and_intro :premises (@p162 @p106 @p430)) % 0.45/0.64 (step @p178 :rule modus_ponens :premises (@p177 @p173)) % 0.45/0.64 (step-pop @p437 :rule scope :premises (@p178)) % 0.45/0.64 (step-pop @p438 :rule scope :premises (@p437)) % 0.45/0.64 (step-pop @p439 :rule scope :premises (@p438)) % 0.45/0.64 (step @p179 :rule process_scope :premises (@p439) :args (@t152)) % 0.45/0.64 (step @p183 :rule implies_elim :premises (@p179)) % 0.45/0.64 (step @p184 :rule cnf_and_neg :args (@t159)) % 0.45/0.64 (step @p185 :rule resolution :premises (@p184 @p183) :args (true @t159)) % 0.45/0.64 (step @p186 :rule reordering :premises (@p185) :args ((or @t161 @t152 @t160 (not @t153)))) % 0.45/0.64 (step @p187 :rule chain_m_resolution :premises (@p186 @p106 @p162 @p161 @p159) :args (@t152 (@list false false false false) (@list @t157 @t158 @t153 @t154))) % 0.45/0.64 (assume-push @p440 @t158) % 0.45/0.64 (assume-push @p441 @t152) % 0.45/0.64 (assume-push @p442 @t152) % 0.45/0.64 (assume-push @p443 @t158) % 0.45/0.64 (step @p192 :rule symm :premises (@p441)) % 0.45/0.64 (step @p193 :rule trans :premises (@p162 @p192)) % 0.45/0.64 (step-pop @p444 :rule scope :premises (@p193)) % 0.45/0.64 (step-pop @p445 :rule scope :premises (@p444)) % 0.45/0.64 (step @p194 :rule process_scope :premises (@p445) :args (@t162)) % 0.45/0.64 (step @p197 :rule and_intro :premises (@p441 @p162)) % 0.45/0.64 (step @p198 :rule modus_ponens :premises (@p197 @p194)) % 0.45/0.64 (step-pop @p446 :rule scope :premises (@p198)) % 0.45/0.64 (step-pop @p447 :rule scope :premises (@p446)) % 0.45/0.64 (step @p199 :rule process_scope :premises (@p447) :args (@t162)) % 0.45/0.64 (step @p202 :rule implies_elim :premises (@p199)) % 0.45/0.64 (step @p203 :rule cnf_and_neg :args (@t163)) % 0.45/0.64 (step @p204 :rule resolution :premises (@p203 @p202) :args (true @t163)) % 0.45/0.64 (step @p205 :rule reordering :premises (@p204) :args ((or @t162 @t160 (not @t152)))) % 0.45/0.64 (step @p206 :rule chain_m_resolution :premises (@p205 @p162 @p187) :args (@t162 (@list false false) (@list @t158 @t152))) % 0.45/0.64 (step @p207 :rule eq-symm :args (@t93 tptp.use)) % 0.45/0.64 (step @p208 :rule eq-symm :args (@t94 tptp.use)) % 0.45/0.64 (step @p209 :rule eq-symm :args (@t95 tptp.use)) % 0.45/0.64 (step @p210 :rule eq-symm :args (@t96 tptp.use)) % 0.45/0.64 (step @p211 :rule eq-symm :args (@t98 tptp.use)) % 0.45/0.64 (step @p212 :rule eq-symm :args (@t100 tptp.use)) % 0.45/0.64 (step @p213 :rule eq-symm :args (@t102 tptp.use)) % 0.45/0.64 (step @p214 :rule eq-symm :args (@t104 tptp.use)) % 0.45/0.64 (step @p215 :rule eq-symm :args (@t106 tptp.use)) % 0.45/0.64 (step @p216 :rule eq-symm :args (@t108 tptp.use)) % 0.45/0.64 (step @p217 :rule eq-symm :args (@t110 tptp.use)) % 0.45/0.64 (step @p218 :rule eq-symm :args (@t112 tptp.use)) % 0.45/0.64 (step @p219 :rule eq-symm :args (@t114 tptp.use)) % 0.45/0.64 (step @p220 :rule eq-symm :args (@t116 tptp.use)) % 0.45/0.64 (step @p221 :rule eq-symm :args (@t118 tptp.use)) % 0.45/0.64 (step @p222 :rule nary_cong :premises (@p221 @p220 @p219 @p218 @p217 @p216 @p215 @p214 @p213 @p212 @p211 @p210 @p209 @p208 @p207) :args (@t120)) % 0.45/0.64 (step @p223 :rule nary_cong :premises (@p221 @p220 @p219 @p218 @p217 @p216 @p215 @p214 @p213 @p212 @p211 @p210) :args (@t121)) % 0.45/0.64 (step @p224 :rule cong :premises (@p223 @p222) :args (@t122)) % 0.45/0.64 (step @p225 :rule cong :premises (@p224) :args (@t123)) % 0.45/0.64 (step @p226 :rule eq_resolve :premises (@p53 @p225)) % 0.45/0.64 (step @p227 :rule not_implies_elim1 :premises (@p226)) % 0.45/0.64 (step @p228 :rule and_elim :premises (@p227) :args (11)) % 0.45/0.64 (step @p229 :rule and_elim :premises (@p227) :args (10)) % 0.45/0.64 (step @p230 :rule and_elim :premises (@p227) :args (9)) % 0.45/0.64 (step @p231 :rule and_elim :premises (@p227) :args (8)) % 0.45/0.64 (step @p232 :rule and_elim :premises (@p227) :args (7)) % 0.45/0.64 (step @p233 :rule and_elim :premises (@p227) :args (6)) % 0.45/0.64 (step @p234 :rule and_elim :premises (@p227) :args (5)) % 0.45/0.64 (step @p235 :rule and_elim :premises (@p227) :args (4)) % 0.45/0.64 (step @p236 :rule and_elim :premises (@p227) :args (3)) % 0.45/0.64 (step @p237 :rule and_elim :premises (@p227) :args (2)) % 0.45/0.64 (step @p238 :rule and_elim :premises (@p227) :args (1)) % 0.45/0.64 (step @p239 :rule and_elim :premises (@p227) :args (0)) % 0.45/0.64 (step @p240 :rule not_implies_elim2 :premises (@p226)) % 0.45/0.64 (step @p241 :rule not_and :premises (@p240)) % 0.45/0.64 (step @p242 :rule chain_m_resolution :premises (@p241 @p239 @p238 @p237 @p236 @p235 @p234 @p233 @p232 @p231 @p230 @p229 @p228 @p206 @p106) :args (@t165 (@list false false false false false false false false false false false false false false) (@list (= tptp.use @t118) (= tptp.use @t116) (= tptp.use @t114) (= tptp.use @t112) (= tptp.use @t110) (= tptp.use @t108) (= tptp.use @t106) (= tptp.use @t104) (= tptp.use @t102) (= tptp.use @t100) (= tptp.use @t98) (= tptp.use @t96) @t162 @t157))) % 0.45/0.64 (assume-push @p448 @t157) % 0.45/0.64 (assume-push @p449 @t166) % 0.45/0.64 (assume-push @p450 @t166) % 0.45/0.64 (assume-push @p451 @t157) % 0.45/0.64 (step @p247 :rule symm :premises (@p449)) % 0.45/0.64 (step @p170 :rule refl :args (@t92)) % 0.45/0.64 (step @p248 :rule cong :premises (@p170 @p247) :args (@t93)) % 0.45/0.64 (step @p249 :rule trans :premises (@p106 @p248)) % 0.45/0.64 (step-pop @p452 :rule scope :premises (@p249)) % 0.45/0.64 (step-pop @p453 :rule scope :premises (@p452)) % 0.45/0.64 (step @p250 :rule process_scope :premises (@p453) :args (@t164)) % 0.45/0.64 (step @p253 :rule and_intro :premises (@p449 @p106)) % 0.45/0.64 (step @p254 :rule modus_ponens :premises (@p253 @p250)) % 0.45/0.64 (step-pop @p454 :rule scope :premises (@p254)) % 0.45/0.64 (step-pop @p455 :rule scope :premises (@p454)) % 0.45/0.64 (step @p255 :rule process_scope :premises (@p455) :args (@t164)) % 0.45/0.64 (step @p258 :rule implies_elim :premises (@p255)) % 0.45/0.64 (step @p259 :rule cnf_and_neg :args (@t167)) % 0.45/0.64 (step @p260 :rule resolution :premises (@p259 @p258) :args (true @t167)) % 0.45/0.64 (step @p261 :rule reordering :premises (@p260) :args ((or @t164 @t161 @t168))) % 0.45/0.64 (step @p262 :rule chain_m_resolution :premises (@p261 @p242 @p106) :args (@t168 @t169 (@list @t164 @t157))) % 0.45/0.64 (step @p263 :rule refl :args (@t172)) % 0.45/0.64 (step @p264 :rule eq-symm :args (tptp.n1 tptp.n0)) % 0.45/0.64 (step @p265 :rule nary_cong :premises (@p264 @p263) :args (@t173)) % 0.45/0.64 (step @p266 :rule cong :premises (@p151 @p265) :args ((=> @t151 @t173))) % 0.45/0.64 (assume-push @p456 @t151) % 0.45/0.64 (step @p268 :rule instantiate :premises (@p147) :args ((@list tptp.n1 tptp.n0 @t90 tptp.use))) % 0.45/0.64 (step-pop @p457 :rule scope :premises (@p268)) % 0.45/0.64 (step @p269 :rule process_scope :premises (@p457) :args (@t173)) % 0.45/0.64 (step @p271 :rule eq_resolve :premises (@p269 @p266)) % 0.45/0.64 (step @p272 :rule implies_elim :premises (@p271)) % 0.45/0.64 (step @p273 :rule chain_m_resolution :premises (@p272 @p147) :args (@t175 @t155 @t156)) % 0.45/0.64 (step @p274 :rule eq-symm :args (@t170 @t95)) % 0.45/0.64 (step @p275 :rule eq-symm :args (tptp.n2 tptp.n0)) % 0.45/0.64 (step @p276 :rule nary_cong :premises (@p275 @p274) :args (@t176)) % 0.45/0.64 (step @p277 :rule cong :premises (@p151 @p276) :args ((=> @t151 @t176))) % 0.45/0.64 (assume-push @p458 @t151) % 0.45/0.64 (step @p279 :rule instantiate :premises (@p147) :args ((@list tptp.n2 tptp.n0 @t91 tptp.use))) % 0.45/0.64 (step-pop @p459 :rule scope :premises (@p279)) % 0.45/0.64 (step @p280 :rule process_scope :premises (@p459) :args (@t176)) % 0.45/0.64 (step @p282 :rule eq_resolve :premises (@p280 @p277)) % 0.45/0.64 (step @p283 :rule implies_elim :premises (@p282)) % 0.45/0.64 (step @p284 :rule chain_m_resolution :premises (@p283 @p147) :args (@t178 @t155 @t156)) % 0.45/0.64 (step @p285 :rule cnf_or_pos :args (@t178)) % 0.45/0.64 (step @p286 :rule reordering :premises (@p285) :args ((or @t166 @t177 (not @t178)))) % 0.45/0.64 (step @p287 :rule chain_m_resolution :premises (@p286 @p262 @p284) :args (@t177 @t169 (@list @t166 @t178))) % 0.45/0.64 (step @p288 :rule instantiate :premises (@p105) :args ((@list tptp.rho_defuse tptp.n0 tptp.use))) % 0.45/0.64 (step @p289 :rule refl :args (@t179)) % 0.45/0.64 (step @p290 :rule refl :args (@t180)) % 0.45/0.64 (step @p291 :rule refl :args (@t182)) % 0.45/0.64 (step @p292 :rule bool-double-not-elim :args (@t164)) % 0.45/0.64 (step @p293 :rule nary_cong :premises (@p292 @p291 @p290 @p289) :args ((or (not @t165) @t182 @t180 @t179))) % 0.45/0.64 (assume-push @p460 @t165) % 0.45/0.64 (assume-push @p461 @t181) % 0.45/0.64 (assume-push @p462 @t177) % 0.45/0.64 (assume-push @p463 @t181) % 0.45/0.64 (assume-push @p464 @t165) % 0.45/0.64 (assume-push @p465 @t177) % 0.45/0.64 (step @p300 :rule false_intro :premises (@p460)) % 0.45/0.64 (step @p301 :rule symm :premises (@p462)) % 0.45/0.64 (step @p302 :rule symm :premises (@p288)) % 0.45/0.64 (step @p303 :rule cong :premises (@p302 @p301) :args (@t172)) % 0.45/0.64 (step @p304 :rule trans :premises (@p303 @p300)) % 0.45/0.64 (step @p305 :rule false_elim :premises (@p304)) % 0.45/0.64 (step-pop @p466 :rule scope :premises (@p305)) % 0.45/0.64 (step-pop @p467 :rule scope :premises (@p466)) % 0.45/0.64 (step-pop @p468 :rule scope :premises (@p467)) % 0.45/0.64 (step @p306 :rule process_scope :premises (@p468) :args (@t179)) % 0.45/0.64 (step @p310 :rule and_intro :premises (@p288 @p460 @p462)) % 0.45/0.64 (step @p311 :rule modus_ponens :premises (@p310 @p306)) % 0.45/0.64 (step-pop @p469 :rule scope :premises (@p311)) % 0.45/0.64 (step-pop @p470 :rule scope :premises (@p469)) % 0.45/0.64 (step-pop @p471 :rule scope :premises (@p470)) % 0.45/0.64 (step @p312 :rule process_scope :premises (@p471) :args (@t179)) % 0.45/0.64 (step @p316 :rule implies_elim :premises (@p312)) % 0.45/0.64 (step @p317 :rule cnf_and_neg :args (@t183)) % 0.45/0.64 (step @p318 :rule resolution :premises (@p317 @p316) :args (true @t183)) % 0.45/0.64 (step @p319 :rule eq_resolve :premises (@p318 @p293)) % 0.45/0.64 (step @p320 :rule chain_m_resolution :premises (@p319 @p242 @p288 @p287) :args (@t179 (@list true false false) (@list @t164 @t181 @t177))) % 0.45/0.64 (step @p321 :rule cnf_or_pos :args (@t175)) % 0.45/0.64 (step @p322 :rule reordering :premises (@p321) :args ((or @t172 @t174 (not @t175)))) % 0.45/0.64 (step @p323 :rule chain_m_resolution :premises (@p322 @p320 @p273) :args (@t174 @t169 (@list @t172 @t175))) % 0.45/0.64 (step @p324 :rule refl :args (@t184)) % 0.45/0.64 (step @p325 :rule bool-double-not-elim :args (@t166)) % 0.45/0.64 (step @p326 :rule refl :args (@t187)) % 0.45/0.64 (step @p327 :rule refl :args (@t189)) % 0.45/0.64 (step @p328 :rule refl :args (@t192)) % 0.45/0.64 (step @p329 :rule refl :args (@t194)) % 0.45/0.64 (step @p330 :rule refl :args (@t196)) % 0.45/0.64 (step @p331 :rule refl :args (@t198)) % 0.45/0.64 (step @p332 :rule refl :args (@t200)) % 0.45/0.64 (step @p333 :rule nary_cong :premises (@p332 @p331 @p330 @p329 @p328 @p327 @p326 @p325 @p324) :args ((or @t200 @t198 @t196 @t194 @t192 @t189 @t187 (not @t168) @t184))) % 0.45/0.64 (assume-push @p472 @t199) % 0.45/0.64 (assume-push @p473 @t174) % 0.45/0.64 (assume-push @p474 @t201) % 0.45/0.64 (assume-push @p475 @t202) % 0.45/0.64 (assume-push @p476 @t168) % 0.45/0.64 (step @p339 :rule evaluate :args ((= false true))) % 0.45/0.64 (step @p340 :rule symm :premises (@p473)) % 0.45/0.64 (step @p341 :rule symm :premises (@p475)) % 0.45/0.64 (step @p342 :rule trans :premises (@p341 @p474 @p340 @p87)) % 0.45/0.64 (step @p343 :rule symm :premises (@p342)) % 0.45/0.64 (step @p344 :rule trans :premises (@p87 @p343)) % 0.45/0.64 (step @p345 :rule true_intro :premises (@p344)) % 0.45/0.64 (step @p346 :rule false_intro :premises (@p476)) % 0.45/0.64 (step @p347 :rule symm :premises (@p346)) % 0.45/0.64 (step @p348 :rule trans :premises (@p347 @p345)) % 0.45/0.64 (step @p349 false :rule eq_resolve :premises (@p348 @p339)) % 0.45/0.64 (step-pop @p477 :rule scope :premises (@p349)) % 0.45/0.64 (step-pop @p478 :rule scope :premises (@p477)) % 0.45/0.64 (step-pop @p479 :rule scope :premises (@p478)) % 0.45/0.64 (step-pop @p480 :rule scope :premises (@p479)) % 0.45/0.64 (step-pop @p481 :rule scope :premises (@p480)) % 0.45/0.64 (step @p350 :rule process_scope :premises (@p481) :args (false)) % 0.45/0.64 (assume-push @p482 @t199) % 0.45/0.64 (assume-push @p483 @t197) % 0.45/0.64 (assume-push @p484 @t195) % 0.45/0.64 (assume-push @p485 @t193) % 0.45/0.64 (assume-push @p486 @t191) % 0.45/0.64 (assume-push @p487 @t188) % 0.45/0.64 (assume-push @p488 @t186) % 0.45/0.64 (assume-push @p489 @t168) % 0.45/0.64 (assume-push @p490 @t174) % 0.45/0.64 (assume-push @p491 @t195) % 0.45/0.64 (assume-push @p492 @t193) % 0.45/0.64 (assume-push @p493 @t197) % 0.45/0.64 (assume-push @p494 @t174) % 0.45/0.64 (assume-push @p495 @t191) % 0.45/0.64 (assume-push @p496 @t188) % 0.45/0.64 (assume-push @p497 @t199) % 0.45/0.64 (assume-push @p498 @t186) % 0.45/0.64 (step @p373 :rule symm :premises (@p93)) % 0.45/0.64 (step @p374 :rule cong :premises (@p88 @p83) :args ((tptp.plus tptp.n1 @t129))) % 0.45/0.64 (step @p375 :rule trans :premises (@p490 @p88)) % 0.45/0.64 (step @p376 :rule refl :args (tptp.n1)) % 0.45/0.64 (step @p377 :rule cong :premises (@p376 @p375) :args (@t190)) % 0.45/0.64 (step @p378 :rule symm :premises (@p101)) % 0.45/0.64 (step @p379 :rule cong :premises (@p375) :args (@t203)) % 0.45/0.64 (step @p380 :rule cong :premises (@p28) :args (@t185)) % 0.45/0.64 (step @p381 :rule trans :premises (@p102 @p380 @p379 @p378 @p490 @p88 @p97 @p377 @p374 @p373 @p84)) % 0.45/0.64 (step-pop @p499 :rule scope :premises (@p381)) % 0.45/0.64 (step-pop @p500 :rule scope :premises (@p499)) % 0.45/0.64 (step-pop @p501 :rule scope :premises (@p500)) % 0.45/0.64 (step-pop @p502 :rule scope :premises (@p501)) % 0.45/0.64 (step-pop @p503 :rule scope :premises (@p502)) % 0.45/0.64 (step-pop @p504 :rule scope :premises (@p503)) % 0.45/0.64 (step-pop @p505 :rule scope :premises (@p504)) % 0.45/0.64 (step-pop @p506 :rule scope :premises (@p505)) % 0.45/0.64 (step @p382 :rule process_scope :premises (@p506) :args (@t202)) % 0.45/0.64 (step @p391 :rule and_intro :premises (@p89 @p93 @p88 @p490 @p97 @p101 @p87 @p102)) % 0.45/0.64 (step @p392 :rule modus_ponens :premises (@p391 @p382)) % 0.45/0.64 (assume-push @p507 @t174) % 0.45/0.64 (assume-push @p508 @t188) % 0.45/0.64 (assume-push @p509 @t197) % 0.45/0.64 (assume-push @p510 @t199) % 0.45/0.64 (assume-push @p511 @t186) % 0.45/0.64 (step @p378 :rule symm :premises (@p101)) % 0.45/0.64 (step @p398 :rule trans :premises (@p490 @p88)) % 0.45/0.64 (step @p399 :rule cong :premises (@p398) :args (@t203)) % 0.45/0.64 (step @p380 :rule cong :premises (@p28) :args (@t185)) % 0.45/0.64 (step @p400 :rule trans :premises (@p102 @p380 @p399 @p378 @p490)) % 0.45/0.64 (step-pop @p512 :rule scope :premises (@p400)) % 0.45/0.64 (step-pop @p513 :rule scope :premises (@p512)) % 0.45/0.64 (step-pop @p514 :rule scope :premises (@p513)) % 0.45/0.64 (step-pop @p515 :rule scope :premises (@p514)) % 0.45/0.64 (step-pop @p516 :rule scope :premises (@p515)) % 0.45/0.64 (step @p401 :rule process_scope :premises (@p516) :args (@t201)) % 0.45/0.64 (step @p407 :rule and_intro :premises (@p490 @p101 @p88 @p87 @p102)) % 0.45/0.64 (step @p408 :rule modus_ponens :premises (@p407 @p401)) % 0.45/0.64 (step @p409 :rule and_intro :premises (@p87 @p490 @p408 @p392 @p489)) % 0.45/0.64 (step-pop @p517 :rule scope :premises (@p409)) % 0.45/0.64 (step-pop @p518 :rule scope :premises (@p517)) % 0.45/0.65 (step-pop @p519 :rule scope :premises (@p518)) % 0.45/0.65 (step-pop @p520 :rule scope :premises (@p519)) % 0.45/0.65 (step-pop @p521 :rule scope :premises (@p520)) % 0.45/0.65 (step-pop @p522 :rule scope :premises (@p521)) % 0.45/0.65 (step-pop @p523 :rule scope :premises (@p522)) % 0.45/0.65 (step-pop @p524 :rule scope :premises (@p523)) % 0.45/0.65 (step-pop @p525 :rule scope :premises (@p524)) % 0.45/0.65 (step @p410 :rule process_scope :premises (@p525) :args (@t204)) % 0.45/0.65 (step @p420 :rule implies_elim :premises (@p410)) % 0.45/0.65 (step @p421 :rule resolution :premises (@p420 @p350) :args (true @t204)) % 0.45/0.65 (step @p422 :rule not_and :premises (@p421)) % 0.45/0.65 (step @p423 :rule eq_resolve :premises (@p422 @p333)) % 0.45/0.65 (step @p424 :rule reordering :premises (@p423) :args ((or @t200 @t198 @t196 @t166 @t194 @t192 @t189 @t187 @t184))) % 0.45/0.65 (step @p425 false :rule chain_m_resolution :premises (@p424 @p323 @p262 @p102 @p101 @p97 @p93 @p89 @p88 @p87) :args (false (@list false true false false false false false false false) (@list @t174 @t166 @t186 @t188 @t191 @t193 @t195 @t197 @t199))) % 0.45/0.65 ) % 0.45/0.65 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------