%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV031+1 : TPTP v9.2.1. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 0.45s 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 : SWV031+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.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 19:54:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----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 $$unsorted 0) % 0.45/0.64 (declare-const tptp.n330 $$unsorted) % 0.45/0.64 (declare-const tptp.n410 $$unsorted) % 0.45/0.64 (declare-const tptp.init $$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.s_values7_init $$unsorted) % 0.45/0.64 (declare-const tptp.a_select3 (-> $$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.pv10 $$unsorted) % 0.45/0.64 (declare-const tptp.n3 $$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.pv9 $$unsorted) % 0.45/0.64 (declare-const tptp.lt (-> $$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 $$unsorted)) % 0.45/0.64 (declare-const tptp.simplex7_init $$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" $$unsorted)) % 0.45/0.64 (define @t27 () (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t26 @t25) (tptp.dim @t24 @t23) @t17) @t18 @t22)) % 0.45/0.64 (define @t28 () (tptp.leq @t22 @t23)) % 0.45/0.64 (define @t29 () (tptp.leq @t24 @t22)) % 0.45/0.64 (define @t30 () (tptp.leq @t18 @t25)) % 0.45/0.64 (define @t31 () (tptp.leq @t26 @t18)) % 0.45/0.64 (define @t32 () (and @t31 @t30 @t29 @t28)) % 0.45/0.64 (define @t33 () (=> @t32 (= @t27 @t17))) % 0.45/0.64 (define @t34 () (@list @t18 @t26 @t25 @t22 @t24 @t23 @t17)) % 0.45/0.64 (define @t35 () (forall @t34 @t33)) % 0.45/0.64 (define @t36 () (@var "A" $$unsorted)) % 0.45/0.64 (define @t37 () (tptp.trans @t36)) % 0.45/0.64 (define @t38 () (@var "N" $$unsorted)) % 0.45/0.64 (define @t39 () (tptp.leq @t22 @t38)) % 0.45/0.64 (define @t40 () (tptp.leq tptp.n0 @t22)) % 0.45/0.64 (define @t41 () (tptp.leq @t18 @t38)) % 0.45/0.64 (define @t42 () (tptp.leq tptp.n0 @t18)) % 0.45/0.64 (define @t43 () (and @t42 @t41 @t40 @t39)) % 0.45/0.64 (define @t44 () (@list @t18 @t22)) % 0.45/0.64 (define @t45 () (forall @t44 (=> @t43 (= (tptp.a_select3 @t36 @t18 @t22) (tptp.a_select3 @t36 @t22 @t18))))) % 0.45/0.64 (define @t46 () (@list @t36 @t38)) % 0.45/0.64 (define @t47 () (tptp.inv @t36)) % 0.45/0.64 (define @t48 () (@var "VAL" $$unsorted)) % 0.45/0.64 (define @t49 () (@var "K" $$unsorted)) % 0.45/0.64 (define @t50 () (tptp.tptp_update3 @t36 @t49 @t49 @t48)) % 0.45/0.64 (define @t51 () (@var "B" $$unsorted)) % 0.45/0.64 (define @t52 () (tptp.tptp_madd @t36 @t51)) % 0.45/0.64 (define @t53 () (= (tptp.a_select3 @t51 @t18 @t22) (tptp.a_select3 @t51 @t22 @t18))) % 0.45/0.64 (define @t54 () (forall @t44 (=> @t43 @t53))) % 0.45/0.64 (define @t55 () (and @t45 @t54)) % 0.45/0.64 (define @t56 () (@list @t36 @t51 @t38)) % 0.45/0.64 (define @t57 () (tptp.tptp_msub @t36 @t51)) % 0.45/0.64 (define @t58 () (tptp.tptp_mmul @t36 (tptp.tptp_mmul @t51 @t37))) % 0.45/0.64 (define @t59 () (forall @t44 (=> @t43 (= (tptp.a_select3 @t58 @t18 @t22) (tptp.a_select3 @t58 @t22 @t18))))) % 0.45/0.64 (define @t60 () (@var "M" $$unsorted)) % 0.45/0.64 (define @t61 () (and @t42 (tptp.leq @t18 @t60) @t40 (tptp.leq @t22 @t60))) % 0.45/0.64 (define @t62 () (@var "E" $$unsorted)) % 0.45/0.64 (define @t63 () (@var "F" $$unsorted)) % 0.45/0.64 (define @t64 () (@var "D" $$unsorted)) % 0.45/0.64 (define @t65 () (tptp.tptp_madd @t36 (tptp.tptp_mmul @t51 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t13 (tptp.tptp_mmul @t64 (tptp.trans @t13))) (tptp.tptp_mmul @t62 (tptp.tptp_mmul @t63 (tptp.trans @t62)))) (tptp.trans @t51))))) % 0.45/0.64 (define @t66 () (@var "Body" $$unsorted)) % 0.45/0.64 (define @t67 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t66)) % 0.45/0.64 (define @t68 () (@list @t66)) % 0.45/0.64 (define @t69 () (tptp.succ @t11)) % 0.45/0.64 (define @t70 () (tptp.succ @t69)) % 0.45/0.64 (define @t71 () (tptp.succ @t70)) % 0.45/0.64 (define @t72 () (tptp.succ @t71)) % 0.45/0.64 (define @t73 () (tptp.pred @t2)) % 0.45/0.64 (define @t74 () (@var "V" $$unsorted)) % 0.45/0.64 (define @t75 () (tptp.tptp_update3 @t2 @t19 @t74 @t48)) % 0.45/0.64 (define @t76 () (@var "VAL2" $$unsorted)) % 0.45/0.64 (define @t77 () (not (= @t18 @t19))) % 0.45/0.64 (define @t78 () (@var "J0" $$unsorted)) % 0.45/0.64 (define @t79 () (@var "I0" $$unsorted)) % 0.45/0.64 (define @t80 () (tptp.leq @t79 @t19)) % 0.45/0.64 (define @t81 () (tptp.leq tptp.n0 @t79)) % 0.45/0.64 (define @t82 () (tptp.tptp_update2 @t2 @t19 @t48)) % 0.45/0.64 (define @t83 () (tptp.a_select2 tptp.s_values7_init @t63)) % 0.45/0.64 (define @t84 () (tptp.leq @t63 tptp.n3)) % 0.45/0.64 (define @t85 () (tptp.leq tptp.n0 @t63)) % 0.45/0.64 (define @t86 () (and @t85 @t84)) % 0.45/0.64 (define @t87 () (=> @t86 (= @t83 tptp.init))) % 0.45/0.64 (define @t88 () (@list @t63)) % 0.45/0.64 (define @t89 () (forall @t88 @t87)) % 0.45/0.64 (define @t90 () (tptp.a_select3 tptp.simplex7_init @t62 @t64)) % 0.45/0.64 (define @t91 () (tptp.leq @t62 tptp.n3)) % 0.45/0.64 (define @t92 () (tptp.leq tptp.n0 @t62)) % 0.45/0.64 (define @t93 () (and @t92 @t91)) % 0.45/0.64 (define @t94 () (=> @t93 (= @t90 tptp.init))) % 0.45/0.64 (define @t95 () (@list @t62)) % 0.45/0.64 (define @t96 () (forall @t95 @t94)) % 0.45/0.64 (define @t97 () (tptp.leq @t64 tptp.n2)) % 0.45/0.64 (define @t98 () (tptp.leq tptp.n0 @t64)) % 0.45/0.64 (define @t99 () (and @t98 @t97)) % 0.45/0.64 (define @t100 () (=> @t99 @t96)) % 0.45/0.64 (define @t101 () (@list @t64)) % 0.45/0.64 (define @t102 () (forall @t101 @t100)) % 0.45/0.64 (define @t103 () (tptp.minus tptp.n410 tptp.n1)) % 0.45/0.64 (define @t104 () (tptp.leq tptp.pv9 @t103)) % 0.45/0.64 (define @t105 () (tptp.leq tptp.n0 tptp.pv9)) % 0.45/0.64 (define @t106 () (tptp.minus tptp.n330 tptp.n1)) % 0.45/0.64 (define @t107 () (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim tptp.n0 @t103) (tptp.dim tptp.n0 @t106) tptp.init) tptp.pv9 tptp.pv10)) % 0.45/0.64 (define @t108 () (= tptp.init tptp.init)) % 0.45/0.64 (define @t109 () (and @t108 (= @t107 tptp.init) @t105 @t104 @t102 @t89)) % 0.45/0.64 (define @t110 () (tptp.a_select2 tptp.s_values7_init @t13)) % 0.45/0.64 (define @t111 () (tptp.leq @t13 tptp.n3)) % 0.45/0.64 (define @t112 () (tptp.leq tptp.n0 @t13)) % 0.45/0.64 (define @t113 () (and @t112 @t111)) % 0.45/0.64 (define @t114 () (=> @t113 (= @t110 tptp.init))) % 0.45/0.64 (define @t115 () (@list @t13)) % 0.45/0.64 (define @t116 () (forall @t115 @t114)) % 0.45/0.64 (define @t117 () (tptp.a_select3 tptp.simplex7_init @t51 @t36)) % 0.45/0.64 (define @t118 () (tptp.leq @t51 tptp.n3)) % 0.45/0.64 (define @t119 () (tptp.leq tptp.n0 @t51)) % 0.45/0.64 (define @t120 () (and @t119 @t118)) % 0.45/0.64 (define @t121 () (=> @t120 (= @t117 tptp.init))) % 0.45/0.64 (define @t122 () (@list @t51)) % 0.45/0.64 (define @t123 () (forall @t122 @t121)) % 0.45/0.64 (define @t124 () (tptp.leq @t36 tptp.n2)) % 0.45/0.64 (define @t125 () (tptp.leq tptp.n0 @t36)) % 0.45/0.64 (define @t126 () (and @t125 @t124)) % 0.45/0.64 (define @t127 () (=> @t126 @t123)) % 0.45/0.64 (define @t128 () (@list @t36)) % 0.45/0.64 (define @t129 () (forall @t128 @t127)) % 0.45/0.64 (define @t130 () (tptp.leq tptp.pv10 @t106)) % 0.45/0.64 (define @t131 () (tptp.leq tptp.n0 tptp.pv10)) % 0.45/0.64 (define @t132 () (and @t108 @t105 @t131 @t104 @t130 @t129 @t116)) % 0.45/0.64 (define @t133 () (=> @t132 @t109)) % 0.45/0.64 (define @t134 () (not @t133)) % 0.45/0.64 (define @t135 () (= @t2 tptp.n4)) % 0.45/0.64 (define @t136 () (= @t2 tptp.n3)) % 0.45/0.64 (define @t137 () (= @t2 tptp.n2)) % 0.45/0.64 (define @t138 () (= @t2 tptp.n1)) % 0.45/0.64 (define @t139 () (= @t2 tptp.n0)) % 0.45/0.64 (define @t140 () (tptp.succ tptp.n0)) % 0.45/0.64 (define @t141 () (tptp.succ @t140)) % 0.45/0.64 (define @t142 () (tptp.succ @t141)) % 0.45/0.64 (define @t143 () (tptp.succ @t142)) % 0.45/0.64 (define @t144 () (= @t17 @t27)) % 0.45/0.64 (define @t145 () (not @t28)) % 0.45/0.64 (define @t146 () (not @t29)) % 0.45/0.64 (define @t147 () (not @t30)) % 0.45/0.64 (define @t148 () (not @t31)) % 0.45/0.64 (define @t149 () (or @t148 @t147 @t146 @t145 @t144)) % 0.45/0.64 (define @t150 () (or @t148 @t147 @t146 @t145)) % 0.45/0.64 (define @t151 () (= tptp.init @t83)) % 0.45/0.64 (define @t152 () (not @t84)) % 0.45/0.64 (define @t153 () (not @t85)) % 0.45/0.64 (define @t154 () (or @t153 @t152 @t151)) % 0.45/0.64 (define @t155 () (forall @t88 @t154)) % 0.45/0.64 (define @t156 () (@var "BOUND_VARIABLE_8468" $$unsorted)) % 0.45/0.64 (define @t157 () (= tptp.init (tptp.a_select3 tptp.simplex7_init @t156 @t64))) % 0.45/0.64 (define @t158 () (not (tptp.leq @t156 tptp.n3))) % 0.45/0.64 (define @t159 () (not (tptp.leq tptp.n0 @t156))) % 0.45/0.64 (define @t160 () (not @t97)) % 0.45/0.64 (define @t161 () (not @t98)) % 0.45/0.64 (define @t162 () (or @t161 @t160 @t159 @t158 @t157)) % 0.45/0.64 (define @t163 () (@list @t64 @t156)) % 0.45/0.64 (define @t164 () (forall @t163 @t162)) % 0.45/0.64 (define @t165 () (= tptp.init @t107)) % 0.45/0.64 (define @t166 () (or @t159 @t158 @t157)) % 0.45/0.64 (define @t167 () (or @t161 @t160 @t166)) % 0.45/0.64 (define @t168 () (forall @t163 @t167)) % 0.45/0.64 (define @t169 () (@list @t156)) % 0.45/0.64 (define @t170 () (forall @t169 @t167)) % 0.45/0.64 (define @t171 () (forall @t169 @t166)) % 0.45/0.64 (define @t172 () (or @t161 @t160 @t171)) % 0.45/0.64 (define @t173 () (= tptp.init @t90)) % 0.45/0.64 (define @t174 () (not @t91)) % 0.45/0.64 (define @t175 () (not @t92)) % 0.45/0.64 (define @t176 () (or @t175 @t174 @t173)) % 0.45/0.64 (define @t177 () (forall @t95 @t176)) % 0.45/0.64 (define @t178 () (or @t161 @t160 @t177)) % 0.45/0.64 (define @t179 () (= tptp.init @t110)) % 0.45/0.64 (define @t180 () (not @t111)) % 0.45/0.64 (define @t181 () (not @t112)) % 0.45/0.64 (define @t182 () (or @t181 @t180 @t179)) % 0.45/0.64 (define @t183 () (forall @t115 @t182)) % 0.45/0.64 (define @t184 () (@var "BOUND_VARIABLE_8425" $$unsorted)) % 0.45/0.64 (define @t185 () (= tptp.init (tptp.a_select3 tptp.simplex7_init @t184 @t36))) % 0.45/0.64 (define @t186 () (not (tptp.leq @t184 tptp.n3))) % 0.45/0.64 (define @t187 () (not (tptp.leq tptp.n0 @t184))) % 0.45/0.64 (define @t188 () (not @t124)) % 0.45/0.64 (define @t189 () (not @t125)) % 0.45/0.64 (define @t190 () (or @t189 @t188 @t187 @t186 @t185)) % 0.45/0.64 (define @t191 () (@list @t36 @t184)) % 0.45/0.64 (define @t192 () (forall @t191 @t190)) % 0.45/0.64 (define @t193 () (or @t187 @t186 @t185)) % 0.45/0.64 (define @t194 () (or @t189 @t188 @t193)) % 0.45/0.64 (define @t195 () (forall @t191 @t194)) % 0.45/0.64 (define @t196 () (@list @t184)) % 0.45/0.64 (define @t197 () (forall @t196 @t194)) % 0.45/0.64 (define @t198 () (forall @t196 @t193)) % 0.45/0.64 (define @t199 () (or @t189 @t188 @t198)) % 0.45/0.64 (define @t200 () (= tptp.init @t117)) % 0.45/0.64 (define @t201 () (not @t118)) % 0.45/0.64 (define @t202 () (not @t119)) % 0.45/0.64 (define @t203 () (or @t202 @t201 @t200)) % 0.45/0.64 (define @t204 () (forall @t122 @t203)) % 0.45/0.64 (define @t205 () (or @t189 @t188 @t204)) % 0.45/0.64 (define @t206 () (@list false)) % 0.45/0.64 (define @t207 () (not @t165)) % 0.45/0.64 (define @t208 () (not @t104)) % 0.45/0.64 (define @t209 () (not @t105)) % 0.45/0.64 (define @t210 () (not @t130)) % 0.45/0.64 (define @t211 () (not @t131)) % 0.45/0.64 (define @t212 () (or @t209 @t208 @t211 @t210 @t165)) % 0.45/0.64 (define @t213 () (not @t212)) % 0.45/0.64 (define @t214 () (forall @t34 @t149)) % 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 @t35) % 0.45/0.64 (assume @p18 (forall @t46 (=> @t45 (forall @t44 (=> @t43 (= (tptp.a_select3 @t37 @t18 @t22) (tptp.a_select3 @t37 @t22 @t18))))))) % 0.45/0.64 (assume @p19 (forall @t46 (=> @t45 (forall @t44 (=> @t43 (= (tptp.a_select3 @t47 @t18 @t22) (tptp.a_select3 @t47 @t22 @t18))))))) % 0.45/0.64 (assume @p20 (forall @t46 (=> @t45 (forall (@list @t18 @t22 @t49 @t48) (=> (and @t42 @t41 @t40 @t39 (tptp.leq tptp.n0 @t49) (tptp.leq @t49 @t38)) (= (tptp.a_select3 @t50 @t18 @t22) (tptp.a_select3 @t50 @t22 @t18))))))) % 0.45/0.64 (assume @p21 (forall @t56 (=> @t55 (forall @t44 (=> @t43 (= (tptp.a_select3 @t52 @t18 @t22) (tptp.a_select3 @t52 @t22 @t18))))))) % 0.45/0.64 (assume @p22 (forall @t56 (=> @t55 (forall @t44 (=> @t43 (= (tptp.a_select3 @t57 @t18 @t22) (tptp.a_select3 @t57 @t22 @t18))))))) % 0.45/0.64 (assume @p23 (forall @t56 (=> @t54 @t59))) % 0.45/0.64 (assume @p24 (forall (@list @t36 @t51 @t38 @t60) (=> (forall @t44 (=> @t61 @t53)) @t59))) % 0.45/0.64 (assume @p25 (forall (@list @t36 @t51 @t13 @t64 @t62 @t63 @t38 @t60) (=> (and (forall @t44 (=> @t61 (= (tptp.a_select3 @t64 @t18 @t22) (tptp.a_select3 @t64 @t22 @t18)))) @t45 (forall @t44 (=> @t43 (= (tptp.a_select3 @t63 @t18 @t22) (tptp.a_select3 @t63 @t22 @t18))))) (forall @t44 (=> @t43 (= (tptp.a_select3 @t65 @t18 @t22) (tptp.a_select3 @t65 @t22 @t18))))))) % 0.45/0.64 (assume @p26 (forall @t68 (= @t67 tptp.n0))) % 0.45/0.64 (assume @p27 (forall @t68 (= tptp.tptp_float_0_0 @t67))) % 0.45/0.64 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.45/0.64 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.45/0.64 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t11))) % 0.45/0.64 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t69))) % 0.45/0.64 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t69))) % 0.45/0.64 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t70))) % 0.45/0.64 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t70))) % 0.45/0.64 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t71))) % 0.45/0.64 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t71))) % 0.45/0.64 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t72))) % 0.45/0.64 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t72))) % 0.45/0.64 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t73))) % 0.45/0.64 (assume @p40 (forall @t9 (= (tptp.pred @t11) @t2))) % 0.45/0.64 (assume @p41 (forall @t9 (= (tptp.succ @t73) @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 @t74 @t48) (= (tptp.a_select3 @t75 @t19 @t74) @t48))) % 0.45/0.64 (assume @p46 (forall (@list @t18 @t22 @t19 @t74 @t2 @t48 @t76) (=> (and @t77 (= @t22 @t74) (= (tptp.a_select3 @t2 @t19 @t74) @t48)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t18 @t22 @t76) @t19 @t74) @t48)))) % 0.45/0.64 (assume @p47 (forall (@list @t18 @t22 @t19 @t74 @t2 @t48) (=> (and (forall (@list @t79 @t78) (=> (and @t81 (tptp.leq tptp.n0 @t78) @t80 (tptp.leq @t78 @t74)) (= (tptp.a_select3 @t2 @t79 @t78) @t48))) @t42 @t21 @t40 (tptp.leq @t22 @t74)) (= (tptp.a_select3 @t75 @t18 @t22) @t48)))) % 0.45/0.64 (assume @p48 (forall (@list @t2 @t19 @t48) (= (tptp.a_select2 @t82 @t19) @t48))) % 0.45/0.64 (assume @p49 (forall (@list @t18 @t19 @t2 @t48 @t76) (=> (and @t77 (= (tptp.a_select2 @t2 @t19) @t48)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t18 @t76) @t19) @t48)))) % 0.45/0.64 (assume @p50 (forall (@list @t18 @t19 @t2 @t48) (=> (and (forall (@list @t79) (=> (and @t81 @t80) (= (tptp.a_select2 @t2 @t79) @t48))) @t42 @t21) (= (tptp.a_select2 @t82 @t18) @t48)))) % 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 @t134) % 0.45/0.64 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.45/0.64 (assume @p55 (tptp.gt tptp.n330 tptp.n4)) % 0.45/0.64 (assume @p56 (tptp.gt tptp.n410 tptp.n4)) % 0.45/0.64 (assume @p57 (tptp.gt tptp.n330 tptp.n5)) % 0.45/0.64 (assume @p58 (tptp.gt tptp.n410 tptp.n5)) % 0.45/0.64 (assume @p59 (tptp.gt tptp.n410 tptp.n330)) % 0.45/0.64 (assume @p60 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.45/0.64 (assume @p61 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.45/0.64 (assume @p62 (tptp.gt tptp.n330 tptp.tptp_minus_1)) % 0.45/0.64 (assume @p63 (tptp.gt tptp.n410 tptp.tptp_minus_1)) % 0.45/0.64 (assume @p64 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.45/0.64 (assume @p65 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.45/0.64 (assume @p66 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.45/0.64 (assume @p67 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.45/0.64 (assume @p68 (tptp.gt tptp.n4 tptp.n0)) % 0.45/0.64 (assume @p69 (tptp.gt tptp.n5 tptp.n0)) % 0.45/0.64 (assume @p70 (tptp.gt tptp.n330 tptp.n0)) % 0.45/0.64 (assume @p71 (tptp.gt tptp.n410 tptp.n0)) % 0.45/0.64 (assume @p72 (tptp.gt tptp.n1 tptp.n0)) % 0.45/0.64 (assume @p73 (tptp.gt tptp.n2 tptp.n0)) % 0.45/0.64 (assume @p74 (tptp.gt tptp.n3 tptp.n0)) % 0.45/0.64 (assume @p75 (tptp.gt tptp.n4 tptp.n1)) % 0.45/0.64 (assume @p76 (tptp.gt tptp.n5 tptp.n1)) % 0.45/0.64 (assume @p77 (tptp.gt tptp.n330 tptp.n1)) % 0.45/0.64 (assume @p78 (tptp.gt tptp.n410 tptp.n1)) % 0.45/0.64 (assume @p79 (tptp.gt tptp.n2 tptp.n1)) % 0.45/0.64 (assume @p80 (tptp.gt tptp.n3 tptp.n1)) % 0.45/0.64 (assume @p81 (tptp.gt tptp.n4 tptp.n2)) % 0.45/0.64 (assume @p82 (tptp.gt tptp.n5 tptp.n2)) % 0.45/0.64 (assume @p83 (tptp.gt tptp.n330 tptp.n2)) % 0.45/0.64 (assume @p84 (tptp.gt tptp.n410 tptp.n2)) % 0.45/0.64 (assume @p85 (tptp.gt tptp.n3 tptp.n2)) % 0.45/0.64 (assume @p86 (tptp.gt tptp.n4 tptp.n3)) % 0.45/0.64 (assume @p87 (tptp.gt tptp.n5 tptp.n3)) % 0.45/0.64 (assume @p88 (tptp.gt tptp.n330 tptp.n3)) % 0.45/0.64 (assume @p89 (tptp.gt tptp.n410 tptp.n3)) % 0.45/0.64 (assume @p90 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t139 @t138 @t137 @t136 @t135)))) % 0.45/0.64 (assume @p91 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t139 @t138 @t137 @t136 @t135 (= @t2 tptp.n5))))) % 0.45/0.64 (assume @p92 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t139))) % 0.45/0.64 (assume @p93 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t139 @t138)))) % 0.45/0.64 (assume @p94 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t139 @t138 @t137)))) % 0.45/0.64 (assume @p95 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t139 @t138 @t137 @t136)))) % 0.45/0.64 (assume @p96 (= @t143 tptp.n4)) % 0.45/0.64 (assume @p97 (= (tptp.succ @t143) tptp.n5)) % 0.45/0.64 (assume @p98 (= @t140 tptp.n1)) % 0.45/0.64 (assume @p99 (= @t141 tptp.n2)) % 0.45/0.64 (assume @p100 (= @t142 tptp.n3)) % 0.45/0.64 (assume @p101 true) % 0.45/0.64 (step @p102 :rule aci_norm :args ((= (or @t150 @t144) @t149))) % 0.45/0.64 (step @p103 :rule refl :args (@t144)) % 0.45/0.64 (step @p104 :rule aci_norm :args ((= (or @t148 (or @t147 (or @t146 @t145))) @t150))) % 0.45/0.64 (step @p105 :rule bool-and-de-morgan :args (@t29 @t28 true)) % 0.45/0.64 (step @p106 :rule refl :args (@t147)) % 0.45/0.64 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t147 (not (and @t29 @t28))))) % 0.45/0.64 (step @p108 :rule bool-and-de-morgan :args (@t30 @t29 (and @t28))) % 0.45/0.64 (step @p109 :rule trans :premises (@p108 @p107)) % 0.45/0.64 (step @p110 :rule refl :args (@t148)) % 0.45/0.64 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t148 (not (and @t30 @t29 @t28))))) % 0.45/0.64 (step @p112 :rule bool-and-de-morgan :args (@t31 @t30 (and @t29 @t28))) % 0.45/0.64 (step @p113 :rule trans :premises (@p112 @p111)) % 0.45/0.64 (step @p114 :rule trans :premises (@p113 @p104)) % 0.45/0.64 (step @p115 :rule nary_cong :premises (@p114 @p103) :args ((or (not @t32) @t144))) % 0.45/0.64 (step @p116 :rule trans :premises (@p115 @p102)) % 0.45/0.64 (step @p117 :rule bool-impl-elim :args (@t32 @t144)) % 0.45/0.64 (step @p118 :rule trans :premises (@p117 @p116)) % 0.45/0.64 (step @p119 :rule cong :premises (@p118) :args ((forall @t34 (=> @t32 @t144)))) % 0.45/0.64 (step @p120 :rule eq-symm :args (@t27 @t17)) % 0.45/0.64 (step @p121 :rule refl :args (@t32)) % 0.45/0.64 (step @p122 :rule cong :premises (@p121 @p120) :args (@t33)) % 0.45/0.64 (step @p123 :rule cong :premises (@p122) :args (@t35)) % 0.45/0.64 (step @p124 :rule trans :premises (@p123 @p119)) % 0.45/0.64 (step @p125 :rule eq_resolve :premises (@p17 @p124)) % 0.45/0.64 (step @p126 :rule aci_norm :args ((= (and true @t165 @t105 @t104 @t164 @t155) (and @t165 @t105 @t104 @t164 @t155)))) % 0.45/0.64 (step @p127 :rule aci_norm :args ((= (or (or @t153 @t152) @t151) @t154))) % 0.45/0.64 (step @p128 :rule refl :args (@t151)) % 0.45/0.64 (step @p129 :rule bool-and-de-morgan :args (@t85 @t84 true)) % 0.45/0.64 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or (not @t86) @t151))) % 0.45/0.64 (step @p131 :rule trans :premises (@p130 @p127)) % 0.45/0.64 (step @p132 :rule bool-impl-elim :args (@t86 @t151)) % 0.45/0.64 (step @p133 :rule trans :premises (@p132 @p131)) % 0.45/0.64 (step @p134 :rule cong :premises (@p133) :args ((forall @t88 (=> @t86 @t151)))) % 0.45/0.64 (step @p135 :rule eq-symm :args (@t83 tptp.init)) % 0.45/0.64 (step @p136 :rule refl :args (@t86)) % 0.45/0.64 (step @p137 :rule cong :premises (@p136 @p135) :args (@t87)) % 0.45/0.64 (step @p138 :rule cong :premises (@p137) :args (@t89)) % 0.45/0.64 (step @p139 :rule trans :premises (@p138 @p134)) % 0.45/0.64 (step @p140 :rule aci_norm :args ((= @t167 @t162))) % 0.45/0.64 (step @p141 :rule cong :premises (@p140) :args (@t168)) % 0.45/0.64 (step @p142 :rule quant-merge-prenex :args ((= (forall @t101 @t170) @t168))) % 0.45/0.64 (step @p143 :rule alpha_equiv :args (@t171 (@list @t156) (@list @t62))) % 0.45/0.64 (step @p144 :rule refl :args (@t160)) % 0.45/0.64 (step @p145 :rule refl :args (@t161)) % 0.45/0.64 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143) :args (@t172)) % 0.45/0.64 (step @p147 :rule quant-miniscope-or :args ((= @t170 @t172))) % 0.45/0.64 (step @p148 :rule trans :premises (@p147 @p146)) % 0.45/0.64 (step @p149 :rule symm :premises (@p148)) % 0.45/0.64 (step @p150 :rule cong :premises (@p149) :args ((forall @t101 @t178))) % 0.45/0.64 (step @p151 :rule trans :premises (@p150 @p142)) % 0.45/0.64 (step @p152 :rule trans :premises (@p151 @p141)) % 0.45/0.64 (step @p153 :rule aci_norm :args ((= (or (or @t161 @t160) @t177) @t178))) % 0.45/0.64 (step @p154 :rule refl :args (@t177)) % 0.45/0.64 (step @p155 :rule bool-and-de-morgan :args (@t98 @t97 true)) % 0.45/0.64 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or (not @t99) @t177))) % 0.45/0.64 (step @p157 :rule trans :premises (@p156 @p153)) % 0.45/0.64 (step @p158 :rule bool-impl-elim :args (@t99 @t177)) % 0.45/0.64 (step @p159 :rule trans :premises (@p158 @p157)) % 0.45/0.64 (step @p160 :rule cong :premises (@p159) :args ((forall @t101 (=> @t99 @t177)))) % 0.45/0.64 (step @p161 :rule trans :premises (@p160 @p152)) % 0.45/0.64 (step @p162 :rule aci_norm :args ((= (or (or @t175 @t174) @t173) @t176))) % 0.45/0.64 (step @p163 :rule refl :args (@t173)) % 0.45/0.64 (step @p164 :rule bool-and-de-morgan :args (@t92 @t91 true)) % 0.45/0.64 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or (not @t93) @t173))) % 0.45/0.64 (step @p166 :rule trans :premises (@p165 @p162)) % 0.45/0.64 (step @p167 :rule bool-impl-elim :args (@t93 @t173)) % 0.45/0.64 (step @p168 :rule trans :premises (@p167 @p166)) % 0.45/0.64 (step @p169 :rule cong :premises (@p168) :args ((forall @t95 (=> @t93 @t173)))) % 0.45/0.64 (step @p170 :rule eq-symm :args (@t90 tptp.init)) % 0.45/0.64 (step @p171 :rule refl :args (@t93)) % 0.45/0.64 (step @p172 :rule cong :premises (@p171 @p170) :args (@t94)) % 0.45/0.64 (step @p173 :rule cong :premises (@p172) :args (@t96)) % 0.45/0.64 (step @p174 :rule trans :premises (@p173 @p169)) % 0.45/0.64 (step @p175 :rule refl :args (@t99)) % 0.45/0.64 (step @p176 :rule cong :premises (@p175 @p174) :args (@t100)) % 0.45/0.64 (step @p177 :rule cong :premises (@p176) :args (@t102)) % 0.45/0.64 (step @p178 :rule trans :premises (@p177 @p161)) % 0.45/0.64 (step @p179 :rule refl :args (@t104)) % 0.45/0.64 (step @p180 :rule refl :args (@t105)) % 0.45/0.64 (step @p181 :rule eq-symm :args (@t107 tptp.init)) % 0.45/0.64 (step @p182 :rule eq-refl :args (tptp.init)) % 0.45/0.64 (step @p183 :rule nary_cong :premises (@p182 @p181 @p180 @p179 @p178 @p139) :args (@t109)) % 0.45/0.64 (step @p184 :rule trans :premises (@p183 @p126)) % 0.45/0.64 (step @p185 :rule aci_norm :args ((= (and true @t105 @t131 @t104 @t130 @t192 @t183) (and @t105 @t131 @t104 @t130 @t192 @t183)))) % 0.45/0.64 (step @p186 :rule aci_norm :args ((= (or (or @t181 @t180) @t179) @t182))) % 0.45/0.64 (step @p187 :rule refl :args (@t179)) % 0.45/0.64 (step @p188 :rule bool-and-de-morgan :args (@t112 @t111 true)) % 0.45/0.64 (step @p189 :rule nary_cong :premises (@p188 @p187) :args ((or (not @t113) @t179))) % 0.45/0.64 (step @p190 :rule trans :premises (@p189 @p186)) % 0.45/0.64 (step @p191 :rule bool-impl-elim :args (@t113 @t179)) % 0.45/0.64 (step @p192 :rule trans :premises (@p191 @p190)) % 0.45/0.64 (step @p193 :rule cong :premises (@p192) :args ((forall @t115 (=> @t113 @t179)))) % 0.45/0.64 (step @p194 :rule eq-symm :args (@t110 tptp.init)) % 0.45/0.64 (step @p195 :rule refl :args (@t113)) % 0.45/0.64 (step @p196 :rule cong :premises (@p195 @p194) :args (@t114)) % 0.45/0.64 (step @p197 :rule cong :premises (@p196) :args (@t116)) % 0.45/0.64 (step @p198 :rule trans :premises (@p197 @p193)) % 0.45/0.64 (step @p199 :rule aci_norm :args ((= @t194 @t190))) % 0.45/0.64 (step @p200 :rule cong :premises (@p199) :args (@t195)) % 0.45/0.64 (step @p201 :rule quant-merge-prenex :args ((= (forall @t128 @t197) @t195))) % 0.45/0.64 (step @p202 :rule alpha_equiv :args (@t198 (@list @t184) (@list @t51))) % 0.45/0.64 (step @p203 :rule refl :args (@t188)) % 0.45/0.64 (step @p204 :rule refl :args (@t189)) % 0.45/0.64 (step @p205 :rule nary_cong :premises (@p204 @p203 @p202) :args (@t199)) % 0.45/0.64 (step @p206 :rule quant-miniscope-or :args ((= @t197 @t199))) % 0.45/0.64 (step @p207 :rule trans :premises (@p206 @p205)) % 0.45/0.64 (step @p208 :rule symm :premises (@p207)) % 0.45/0.64 (step @p209 :rule cong :premises (@p208) :args ((forall @t128 @t205))) % 0.45/0.64 (step @p210 :rule trans :premises (@p209 @p201)) % 0.45/0.64 (step @p211 :rule trans :premises (@p210 @p200)) % 0.45/0.64 (step @p212 :rule aci_norm :args ((= (or (or @t189 @t188) @t204) @t205))) % 0.45/0.64 (step @p213 :rule refl :args (@t204)) % 0.45/0.64 (step @p214 :rule bool-and-de-morgan :args (@t125 @t124 true)) % 0.45/0.64 (step @p215 :rule nary_cong :premises (@p214 @p213) :args ((or (not @t126) @t204))) % 0.45/0.64 (step @p216 :rule trans :premises (@p215 @p212)) % 0.45/0.64 (step @p217 :rule bool-impl-elim :args (@t126 @t204)) % 0.45/0.64 (step @p218 :rule trans :premises (@p217 @p216)) % 0.45/0.64 (step @p219 :rule cong :premises (@p218) :args ((forall @t128 (=> @t126 @t204)))) % 0.45/0.64 (step @p220 :rule trans :premises (@p219 @p211)) % 0.45/0.64 (step @p221 :rule aci_norm :args ((= (or (or @t202 @t201) @t200) @t203))) % 0.45/0.64 (step @p222 :rule refl :args (@t200)) % 0.45/0.64 (step @p223 :rule bool-and-de-morgan :args (@t119 @t118 true)) % 0.45/0.64 (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((or (not @t120) @t200))) % 0.45/0.64 (step @p225 :rule trans :premises (@p224 @p221)) % 0.45/0.64 (step @p226 :rule bool-impl-elim :args (@t120 @t200)) % 0.45/0.64 (step @p227 :rule trans :premises (@p226 @p225)) % 0.45/0.64 (step @p228 :rule cong :premises (@p227) :args ((forall @t122 (=> @t120 @t200)))) % 0.45/0.64 (step @p229 :rule eq-symm :args (@t117 tptp.init)) % 0.45/0.64 (step @p230 :rule refl :args (@t120)) % 0.45/0.64 (step @p231 :rule cong :premises (@p230 @p229) :args (@t121)) % 0.45/0.64 (step @p232 :rule cong :premises (@p231) :args (@t123)) % 0.45/0.64 (step @p233 :rule trans :premises (@p232 @p228)) % 0.45/0.64 (step @p234 :rule refl :args (@t126)) % 0.45/0.64 (step @p235 :rule cong :premises (@p234 @p233) :args (@t127)) % 0.45/0.64 (step @p236 :rule cong :premises (@p235) :args (@t129)) % 0.45/0.64 (step @p237 :rule trans :premises (@p236 @p220)) % 0.45/0.64 (step @p238 :rule refl :args (@t130)) % 0.45/0.64 (step @p239 :rule refl :args (@t131)) % 0.45/0.64 (step @p240 :rule nary_cong :premises (@p182 @p180 @p239 @p179 @p238 @p237 @p198) :args (@t132)) % 0.45/0.64 (step @p241 :rule trans :premises (@p240 @p185)) % 0.45/0.64 (step @p242 :rule cong :premises (@p241 @p184) :args (@t133)) % 0.45/0.64 (step @p243 :rule cong :premises (@p242) :args (@t134)) % 0.45/0.64 (step @p244 :rule eq_resolve :premises (@p53 @p243)) % 0.45/0.64 (step @p245 :rule not_implies_elim1 :premises (@p244)) % 0.45/0.64 (step @p246 :rule and_elim :premises (@p245) :args (3)) % 0.45/0.64 (step @p247 :rule and_elim :premises (@p245) :args (2)) % 0.45/0.64 (step @p248 :rule and_elim :premises (@p245) :args (1)) % 0.45/0.64 (step @p249 :rule and_elim :premises (@p245) :args (0)) % 0.45/0.64 (step @p250 :rule and_elim :premises (@p245) :args (5)) % 0.45/0.64 (step @p251 :rule alpha_equiv :args (@t183 (@list @t13) (@list @t63))) % 0.45/0.64 (step @p252 :rule equiv_elim1 :premises (@p251)) % 0.45/0.64 (step @p253 :rule reordering :premises (@p252) :args ((or @t155 (not @t183)))) % 0.45/0.64 (step @p254 :rule chain_m_resolution :premises (@p253 @p250) :args (@t155 @t206 (@list @t183))) % 0.45/0.64 (step @p255 :rule and_elim :premises (@p245) :args (4)) % 0.45/0.64 (step @p256 :rule alpha_equiv :args (@t192 (@list @t184 @t36) (@list @t156 @t64))) % 0.45/0.64 (step @p257 :rule equiv_elim1 :premises (@p256)) % 0.45/0.64 (step @p258 :rule reordering :premises (@p257) :args ((or @t164 (not @t192)))) % 0.45/0.64 (step @p259 :rule chain_m_resolution :premises (@p258 @p255) :args (@t164 @t206 (@list @t192))) % 0.45/0.64 (step @p260 :rule not_implies_elim2 :premises (@p244)) % 0.45/0.64 (step @p261 :rule not_and :premises (@p260)) % 0.45/0.64 (step @p262 :rule reordering :premises (@p261) :args ((or @t209 @t208 @t207 (not @t164) (not @t155)))) % 0.45/0.64 (step @p263 :rule chain_m_resolution :premises (@p262 @p249 @p247 @p259 @p254) :args (@t207 (@list false false false false) (@list @t105 @t104 @t164 @t155))) % 0.45/0.64 (step @p264 :rule cnf_or_pos :args (@t212)) % 0.45/0.64 (step @p265 :rule reordering :premises (@p264) :args ((or @t165 @t209 @t211 @t208 @t210 @t213))) % 0.45/0.64 (step @p266 :rule chain_m_resolution :premises (@p265 @p263 @p249 @p248 @p247 @p246) :args (@t213 (@list true false false false false) (@list @t165 @t105 @t131 @t104 @t130))) % 0.45/0.64 (assume-push @p273 @t214) % 0.45/0.64 (step @p268 :rule instantiate :premises (@p125) :args ((@list tptp.pv9 tptp.n0 @t103 tptp.pv10 tptp.n0 @t106 tptp.init))) % 0.45/0.64 (step-pop @p274 :rule scope :premises (@p268)) % 0.45/0.64 (step @p269 :rule process_scope :premises (@p274) :args (@t212)) % 0.45/0.64 (step @p271 :rule implies_elim :premises (@p269)) % 0.45/0.64 (step @p272 false :rule chain_m_resolution :premises (@p271 @p266 @p125) :args (false (@list true false) (@list @t212 @t214))) % 0.45/0.64 ) % 0.45/0.64 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------