%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU401+1 : TPTP v9.2.1. Released 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 : n004.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 08:51:38 AM UTC 2026 % Result : Theorem 206.07s 206.59s % Output : Proof 206.07s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU401+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:08:37 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 206.07/206.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 206.07/206.59 --- Run --no-e-matching --full-saturate-quant at 6... % 206.07/206.59 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 206.07/206.59 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 206.07/206.59 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 206.07/206.59 --- Run --trigger-sel=max --full-saturate-quant at 15... % 206.07/206.59 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 206.07/206.59 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 206.07/206.59 --- Run --prenex-quant=none --full-saturate-quant at 30... % 206.07/206.59 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 206.07/206.59 --- Run --relevant-triggers --full-saturate-quant at 30... % 206.07/206.59 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 206.07/206.59 % SZS status Theorem % 206.07/206.59 % SZS output start Proof % 206.07/206.59 ( % 206.07/206.59 (declare-sort $$unsorted 0) % 206.07/206.59 (declare-const tptp.netstr_restr_to_element (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 206.07/206.59 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 206.07/206.59 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.strict_net_str (-> $$unsorted $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.function (-> $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 206.07/206.59 (declare-const tptp.net_str (-> $$unsorted $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.top_str (-> $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.boundary_set (-> $$unsorted $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.netstr_induced_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 206.07/206.59 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 206.07/206.59 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 206.07/206.59 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.directed_relstr (-> $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.subnet (-> $$unsorted $$unsorted $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.the_mapping (-> $$unsorted $$unsorted $$unsorted)) % 206.07/206.59 (declare-const tptp.relation (-> $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.subnetstr_of_element (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 206.07/206.59 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.finite (-> $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.nowhere_dense (-> $$unsorted $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.relation_rng_as_subset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 206.07/206.59 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 206.07/206.59 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 206.07/206.59 (declare-const tptp.net_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 206.07/206.59 (define @t1 () (@var "F" $$unsorted)) % 206.07/206.59 (define @t2 () (@var "E" $$unsorted)) % 206.07/206.59 (define @t3 () (= @t2 @t1)) % 206.07/206.59 (define @t4 () (@var "K" $$unsorted)) % 206.07/206.59 (define @t5 () (@var "B" $$unsorted)) % 206.07/206.59 (define @t6 () (@var "A" $$unsorted)) % 206.07/206.59 (define @t7 () (tptp.subnetstr_of_element @t6 @t5 @t4)) % 206.07/206.59 (define @t8 () (tptp.the_carrier @t6)) % 206.07/206.59 (define @t9 () (@var "J" $$unsorted)) % 206.07/206.59 (define @t10 () (= @t9 (tptp.relation_rng_as_subset (tptp.the_carrier @t7) @t8 (tptp.the_mapping @t6 @t7)))) % 206.07/206.59 (define @t11 () (@var "G" $$unsorted)) % 206.07/206.59 (define @t12 () (= @t11 @t4)) % 206.07/206.59 (define @t13 () (@var "D" $$unsorted)) % 206.07/206.59 (define @t14 () (= @t13 (tptp.topstr_closure @t6 @t9))) % 206.07/206.59 (define @t15 () (tptp.the_carrier @t5)) % 206.07/206.59 (define @t16 () (tptp.element @t4 @t15)) % 206.07/206.59 (define @t17 () (and @t16 @t14 @t12 @t10)) % 206.07/206.59 (define @t18 () (@list @t4)) % 206.07/206.59 (define @t19 () (exists @t18 @t17)) % 206.07/206.59 (define @t20 () (tptp.netstr_induced_subset @t9 @t6 @t5)) % 206.07/206.59 (define @t21 () (and @t20 @t19)) % 206.07/206.59 (define @t22 () (@list @t9)) % 206.07/206.59 (define @t23 () (exists @t22 @t21)) % 206.07/206.59 (define @t24 () (tptp.in @t11 @t15)) % 206.07/206.59 (define @t25 () (and @t24 @t23)) % 206.07/206.59 (define @t26 () (tptp.in @t11 @t1)) % 206.07/206.59 (define @t27 () (= @t26 @t25)) % 206.07/206.59 (define @t28 () (@list @t11)) % 206.07/206.59 (define @t29 () (forall @t28 @t27)) % 206.07/206.59 (define @t30 () (@var "I" $$unsorted)) % 206.07/206.59 (define @t31 () (tptp.subnetstr_of_element @t6 @t5 @t30)) % 206.07/206.59 (define @t32 () (@var "H" $$unsorted)) % 206.07/206.59 (define @t33 () (= @t32 (tptp.relation_rng_as_subset (tptp.the_carrier @t31) @t8 (tptp.the_mapping @t6 @t31)))) % 206.07/206.59 (define @t34 () (= @t11 @t30)) % 206.07/206.59 (define @t35 () (= @t13 (tptp.topstr_closure @t6 @t32))) % 206.07/206.59 (define @t36 () (tptp.element @t30 @t15)) % 206.07/206.59 (define @t37 () (and @t36 @t35 @t34 @t33)) % 206.07/206.59 (define @t38 () (@list @t30)) % 206.07/206.59 (define @t39 () (exists @t38 @t37)) % 206.07/206.59 (define @t40 () (tptp.netstr_induced_subset @t32 @t6 @t5)) % 206.07/206.59 (define @t41 () (and @t40 @t39)) % 206.07/206.59 (define @t42 () (@list @t32)) % 206.07/206.59 (define @t43 () (exists @t42 @t41)) % 206.07/206.59 (define @t44 () (and @t24 @t43)) % 206.07/206.59 (define @t45 () (tptp.in @t11 @t2)) % 206.07/206.59 (define @t46 () (= @t45 @t44)) % 206.07/206.59 (define @t47 () (forall @t28 @t46)) % 206.07/206.59 (define @t48 () (and @t47 @t29)) % 206.07/206.59 (define @t49 () (=> @t48 @t3)) % 206.07/206.59 (define @t50 () (@list @t13 @t2 @t1)) % 206.07/206.59 (define @t51 () (forall @t50 @t49)) % 206.07/206.59 (define @t52 () (tptp.net_str @t5 @t6)) % 206.07/206.59 (define @t53 () (tptp.directed_relstr @t5)) % 206.07/206.59 (define @t54 () (tptp.transitive_relstr @t5)) % 206.07/206.59 (define @t55 () (tptp.empty_carrier @t5)) % 206.07/206.59 (define @t56 () (not @t55)) % 206.07/206.59 (define @t57 () (tptp.top_str @t6)) % 206.07/206.59 (define @t58 () (tptp.topological_space @t6)) % 206.07/206.59 (define @t59 () (tptp.empty_carrier @t6)) % 206.07/206.59 (define @t60 () (not @t59)) % 206.07/206.59 (define @t61 () (and @t60 @t58 @t57 @t56 @t54 @t53 @t52)) % 206.07/206.59 (define @t62 () (=> @t61 @t51)) % 206.07/206.59 (define @t63 () (@var "C" $$unsorted)) % 206.07/206.59 (define @t64 () (@list @t6 @t5 @t63)) % 206.07/206.59 (define @t65 () (forall @t64 @t62)) % 206.07/206.59 (define @t66 () (not @t65)) % 206.07/206.59 (define @t67 () (tptp.boundary_set @t5 @t6)) % 206.07/206.59 (define @t68 () (tptp.v5_membered @t5)) % 206.07/206.59 (define @t69 () (tptp.v4_membered @t5)) % 206.07/206.59 (define @t70 () (tptp.v3_membered @t5)) % 206.07/206.59 (define @t71 () (tptp.v2_membered @t5)) % 206.07/206.59 (define @t72 () (tptp.v1_membered @t5)) % 206.07/206.59 (define @t73 () (tptp.empty @t5)) % 206.07/206.59 (define @t74 () (tptp.powerset @t8)) % 206.07/206.59 (define @t75 () (tptp.element @t5 @t74)) % 206.07/206.59 (define @t76 () (@list @t5)) % 206.07/206.59 (define @t77 () (@list @t6)) % 206.07/206.59 (define @t78 () (tptp.nowhere_dense @t5 @t6)) % 206.07/206.59 (define @t79 () (tptp.closed_subset @t5 @t6)) % 206.07/206.59 (define @t80 () (tptp.open_subset @t5 @t6)) % 206.07/206.59 (define @t81 () (and @t58 @t57)) % 206.07/206.59 (define @t82 () (tptp.finite @t6)) % 206.07/206.59 (define @t83 () (tptp.empty @t6)) % 206.07/206.59 (define @t84 () (not @t83)) % 206.07/206.59 (define @t85 () (tptp.finite @t5)) % 206.07/206.59 (define @t86 () (not @t73)) % 206.07/206.59 (define @t87 () (tptp.powerset @t6)) % 206.07/206.59 (define @t88 () (tptp.element @t5 @t87)) % 206.07/206.59 (define @t89 () (tptp.cartesian_product2 @t6 @t5)) % 206.07/206.59 (define @t90 () (@list @t6 @t5)) % 206.07/206.59 (define @t91 () (and @t60 @t58 @t57)) % 206.07/206.59 (define @t92 () (tptp.one_sorted_str @t6)) % 206.07/206.59 (define @t93 () (tptp.net_str_of @t6 @t5 @t63 @t13)) % 206.07/206.59 (define @t94 () (tptp.relation_of2 @t13 @t5 @t8)) % 206.07/206.59 (define @t95 () (tptp.quasi_total @t13 @t5 @t8)) % 206.07/206.59 (define @t96 () (tptp.function @t13)) % 206.07/206.59 (define @t97 () (tptp.relation_of2 @t63 @t5 @t5)) % 206.07/206.59 (define @t98 () (and @t92 @t97 @t96 @t95 @t94)) % 206.07/206.59 (define @t99 () (@list @t6 @t5 @t63 @t13)) % 206.07/206.59 (define @t100 () (tptp.strict_net_str @t93 @t6)) % 206.07/206.59 (define @t101 () (tptp.rel_str @t6)) % 206.07/206.59 (define @t102 () (and @t60 @t92)) % 206.07/206.59 (define @t103 () (tptp.element @t63 (tptp.powerset @t89))) % 206.07/206.59 (define @t104 () (tptp.relation @t6)) % 206.07/206.59 (define @t105 () (and @t84 @t104)) % 206.07/206.59 (define @t106 () (tptp.relation_rng @t6)) % 206.07/206.59 (define @t107 () (tptp.empty @t106)) % 206.07/206.59 (define @t108 () (tptp.the_mapping @t6 @t5)) % 206.07/206.59 (define @t109 () (tptp.strict_net_str @t5 @t6)) % 206.07/206.59 (define @t110 () (and @t92 @t52)) % 206.07/206.59 (define @t111 () (tptp.relation_of2 @t63 @t6 @t5)) % 206.07/206.59 (define @t112 () (tptp.relation_of2_as_subset @t63 @t6 @t5)) % 206.07/206.59 (define @t113 () (tptp.netstr_restr_to_element @t6 @t5 @t63)) % 206.07/206.59 (define @t114 () (tptp.strict_net_str @t113 @t6)) % 206.07/206.59 (define @t115 () (tptp.element @t63 @t15)) % 206.07/206.59 (define @t116 () (tptp.directed_relstr @t63)) % 206.07/206.59 (define @t117 () (tptp.transitive_relstr @t63)) % 206.07/206.59 (define @t118 () (not (tptp.empty_carrier @t63))) % 206.07/206.59 (define @t119 () (tptp.subnet @t63 @t6 @t5)) % 206.07/206.59 (define @t120 () (@list @t63)) % 206.07/206.59 (define @t121 () (and @t60 @t92 @t56 @t54 @t53 @t52)) % 206.07/206.59 (define @t122 () (tptp.topstr_closure @t6 @t5)) % 206.07/206.59 (define @t123 () (not (tptp.empty_carrier @t113))) % 206.07/206.59 (define @t124 () (and @t60 @t92 @t56 @t54 @t53 @t52 @t115)) % 206.07/206.59 (define @t125 () (tptp.quasi_total @t108 @t15 @t8)) % 206.07/206.59 (define @t126 () (tptp.function @t108)) % 206.07/206.59 (define @t127 () (and @t60 @t92 @t56 @t52)) % 206.07/206.59 (define @t128 () (tptp.relation_rng_as_subset @t6 @t5 @t63)) % 206.07/206.59 (define @t129 () (tptp.subnetstr_of_element @t6 @t5 @t63)) % 206.07/206.59 (define @t130 () (= @t6 @t5)) % 206.07/206.59 (define @t131 () (forall @t120 (= (tptp.in @t63 @t6) (tptp.in @t63 @t5)))) % 206.07/206.59 (define @t132 () (forall @t90 (=> @t131 @t130))) % 206.07/206.59 (define @t133 () (@var "b_BOUND_VARIABLE_7969" it_4_$$unsorted)) % 206.07/206.59 (define @t134 () (@var "b_BOUND_VARIABLE_7967" it_4_$$unsorted)) % 206.07/206.59 (define @t135 () (@var "b_G" it_4_$$unsorted)) % 206.07/206.59 (define @t136 () (@const 0 (-> $$unsorted $$unsorted it_4_$$unsorted $$unsorted))) % 206.07/206.59 (define @t137 () (_ @t136 @t6 @t5 @t135)) % 206.07/206.59 (define @t138 () (@const 1 (-> $$unsorted $$unsorted it_4_$$unsorted))) % 206.07/206.59 (define @t139 () (@const 2 (-> $$unsorted it_4_$$unsorted))) % 206.07/206.59 (define @t140 () (_ @t139 @t6)) % 206.07/206.59 (define @t141 () (@const 3 (-> it_4_$$unsorted it_4_$$unsorted it_4_$$unsorted it_4_$$unsorted))) % 206.07/206.59 (define @t142 () (_ @t141 (_ @t139 @t137) @t140 (_ @t138 @t6 @t137))) % 206.07/206.59 (define @t143 () (@const 4 (-> $$unsorted it_4_$$unsorted it_4_$$unsorted))) % 206.07/206.59 (define @t144 () (@var "b_BOUND_VARIABLE_7965" it_4_$$unsorted)) % 206.07/206.59 (define @t145 () (@const 5 (-> it_4_$$unsorted $$unsorted $$unsorted Bool))) % 206.07/206.59 (define @t146 () (_ @t139 @t5)) % 206.07/206.59 (define @t147 () (@const 6 (-> it_4_$$unsorted it_4_$$unsorted Bool))) % 206.07/206.59 (define @t148 () (@const 7 (-> it_4_$$unsorted it_4_$$unsorted Bool))) % 206.07/206.59 (define @t149 () (@list @t135)) % 206.07/206.59 (define @t150 () (@var "b_G" it_4_$$unsorted)) % 206.07/206.59 (define @t151 () (_ @t136 @t6 @t5 @t150)) % 206.07/206.59 (define @t152 () (_ @t141 (_ @t139 @t151) @t140 (_ @t138 @t6 @t151))) % 206.07/206.59 (define @t153 () (@list @t150)) % 206.07/206.59 (define @t154 () (not @t52)) % 206.07/206.59 (define @t155 () (not @t53)) % 206.07/206.59 (define @t156 () (not @t54)) % 206.07/206.59 (define @t157 () (not @t57)) % 206.07/206.59 (define @t158 () (not @t58)) % 206.07/206.59 (define @t159 () (forall (@list @t6 @t5 @t144 @t134 @t133) (or @t59 @t158 @t157 @t55 @t156 @t155 @t154 (not (forall @t153 (= (_ @t148 @t150 @t134) (and (_ @t148 @t150 @t146) (_ @t147 @t150 @t146) (_ @t145 @t152 @t6 @t5) (= @t144 (_ @t143 @t6 @t152)))))) (not (forall @t149 (= (_ @t148 @t135 @t133) (and (_ @t148 @t135 @t146) (_ @t147 @t135 @t146) (_ @t145 @t142 @t6 @t5) (= @t144 (_ @t143 @t6 @t142)))))) (= @t134 @t133)))) % 206.07/206.59 (define @t160 () (@var "BOUND_VARIABLE_7969" $$unsorted)) % 206.07/206.59 (define @t161 () (@var "BOUND_VARIABLE_7967" $$unsorted)) % 206.07/206.59 (define @t162 () (= @t161 @t160)) % 206.07/206.59 (define @t163 () (@var "BOUND_VARIABLE_7965" $$unsorted)) % 206.07/206.59 (define @t164 () (tptp.subnetstr_of_element @t6 @t5 @t11)) % 206.07/206.59 (define @t165 () (tptp.relation_rng_as_subset (tptp.the_carrier @t164) @t8 (tptp.the_mapping @t6 @t164))) % 206.07/206.59 (define @t166 () (tptp.topstr_closure @t6 @t165)) % 206.07/206.59 (define @t167 () (tptp.netstr_induced_subset @t165 @t6 @t5)) % 206.07/206.59 (define @t168 () (tptp.element @t11 @t15)) % 206.07/206.59 (define @t169 () (and @t24 @t168 @t167 (= @t166 @t163))) % 206.07/206.59 (define @t170 () (tptp.in @t11 @t160)) % 206.07/206.59 (define @t171 () (tptp.in @t11 @t161)) % 206.07/206.59 (define @t172 () (@list @t6 @t5 @t163 @t161 @t160)) % 206.07/206.59 (define @t173 () (and @t24 @t168 @t167 (= @t163 @t166))) % 206.07/206.59 (define @t174 () (forall @t28 (= @t170 @t173))) % 206.07/206.59 (define @t175 () (not @t174)) % 206.07/206.59 (define @t176 () (= @t171 @t173)) % 206.07/206.59 (define @t177 () (forall @t28 @t176)) % 206.07/206.59 (define @t178 () (not @t177)) % 206.07/206.59 (define @t179 () (or @t59 @t158 @t157 @t55 @t156 @t155 @t154 @t178 @t175 @t162)) % 206.07/206.59 (define @t180 () (or @t178 @t175 @t162)) % 206.07/206.59 (define @t181 () (or @t59 @t158 @t157 @t55 @t156 @t155 @t154 @t180)) % 206.07/206.59 (define @t182 () (forall @t172 @t181)) % 206.07/206.59 (define @t183 () (@list @t163 @t161 @t160)) % 206.07/206.59 (define @t184 () (forall @t183 @t181)) % 206.07/206.59 (define @t185 () (forall @t183 @t180)) % 206.07/206.59 (define @t186 () (or @t59 @t158 @t157 @t55 @t156 @t155 @t154 @t185)) % 206.07/206.59 (define @t187 () (= @t13 @t166)) % 206.07/206.59 (define @t188 () (and @t24 @t168 @t167 @t187)) % 206.07/206.59 (define @t189 () (forall @t28 (= @t26 @t188))) % 206.07/206.59 (define @t190 () (not @t189)) % 206.07/206.59 (define @t191 () (forall @t28 (= @t45 @t188))) % 206.07/206.59 (define @t192 () (not @t191)) % 206.07/206.59 (define @t193 () (or @t192 @t190 @t3)) % 206.07/206.59 (define @t194 () (forall @t50 @t193)) % 206.07/206.59 (define @t195 () (or @t59 @t158 @t157 @t55 @t156 @t155 @t154 @t194)) % 206.07/206.59 (define @t196 () (forall @t90 @t195)) % 206.07/206.59 (define @t197 () (not @t56)) % 206.07/206.59 (define @t198 () (not @t60)) % 206.07/206.59 (define @t199 () (or @t198 @t158 @t157 @t197 @t156 @t155 @t154)) % 206.07/206.59 (define @t200 () (and @t191 @t189)) % 206.07/206.59 (define @t201 () (not @t187)) % 206.07/206.59 (define @t202 () (not @t201)) % 206.07/206.59 (define @t203 () (not @t167)) % 206.07/206.59 (define @t204 () (not @t203)) % 206.07/206.59 (define @t205 () (not @t168)) % 206.07/206.59 (define @t206 () (not @t205)) % 206.07/206.59 (define @t207 () (and @t206 @t204 @t202)) % 206.07/206.59 (define @t208 () (or @t203 @t201)) % 206.07/206.59 (define @t209 () (or @t205 @t203 @t201)) % 206.07/206.59 (define @t210 () (and @t24 (not @t209))) % 206.07/206.59 (define @t211 () (= @t26 @t210)) % 206.07/206.59 (define @t212 () (not (= @t165 @t165))) % 206.07/206.59 (define @t213 () (or @t203 @t201 @t212)) % 206.07/206.59 (define @t214 () (not (= @t9 @t165))) % 206.07/206.59 (define @t215 () (not @t14)) % 206.07/206.59 (define @t216 () (not @t20)) % 206.07/206.59 (define @t217 () (or @t214 @t216 @t215 @t214)) % 206.07/206.59 (define @t218 () (or @t216 @t215 @t214)) % 206.07/206.59 (define @t219 () (forall @t22 @t218)) % 206.07/206.59 (define @t220 () (or @t205 @t219)) % 206.07/206.59 (define @t221 () (or @t205 @t218)) % 206.07/206.59 (define @t222 () (or @t216 @t215 @t205 @t214)) % 206.07/206.59 (define @t223 () (or @t215 @t205 @t214)) % 206.07/206.59 (define @t224 () (not @t223)) % 206.07/206.59 (define @t225 () (and @t20 @t224)) % 206.07/206.59 (define @t226 () (forall @t22 (not @t225))) % 206.07/206.59 (define @t227 () (not @t226)) % 206.07/206.59 (define @t228 () (or @t205 @t214)) % 206.07/206.59 (define @t229 () (not (= @t11 @t11))) % 206.07/206.59 (define @t230 () (or @t205 @t229 @t214)) % 206.07/206.59 (define @t231 () (not @t10)) % 206.07/206.59 (define @t232 () (not @t12)) % 206.07/206.59 (define @t233 () (not @t16)) % 206.07/206.59 (define @t234 () (or @t232 @t233 @t232 @t231)) % 206.07/206.59 (define @t235 () (or @t233 @t232 @t231)) % 206.07/206.59 (define @t236 () (forall @t18 @t235)) % 206.07/206.59 (define @t237 () (or @t215 @t236)) % 206.07/206.59 (define @t238 () (or @t215 @t235)) % 206.07/206.59 (define @t239 () (or @t233 @t215 @t232 @t231)) % 206.07/206.59 (define @t240 () (forall @t18 (not @t17))) % 206.07/206.59 (define @t241 () (not @t240)) % 206.07/206.59 (define @t242 () (= @t45 @t210)) % 206.07/206.59 (define @t243 () (not (= @t32 @t165))) % 206.07/206.59 (define @t244 () (not @t35)) % 206.07/206.59 (define @t245 () (not @t40)) % 206.07/206.59 (define @t246 () (or @t243 @t245 @t244 @t243)) % 206.07/206.59 (define @t247 () (or @t245 @t244 @t243)) % 206.07/206.59 (define @t248 () (forall @t42 @t247)) % 206.07/206.59 (define @t249 () (or @t205 @t248)) % 206.07/206.59 (define @t250 () (or @t205 @t247)) % 206.07/206.59 (define @t251 () (or @t245 @t244 @t205 @t243)) % 206.07/206.59 (define @t252 () (or @t244 @t205 @t243)) % 206.07/206.59 (define @t253 () (not @t252)) % 206.07/206.59 (define @t254 () (and @t40 @t253)) % 206.07/206.59 (define @t255 () (forall @t42 (not @t254))) % 206.07/206.59 (define @t256 () (not @t255)) % 206.07/206.59 (define @t257 () (or @t205 @t243)) % 206.07/206.59 (define @t258 () (or @t205 @t229 @t243)) % 206.07/206.59 (define @t259 () (not @t33)) % 206.07/206.59 (define @t260 () (not @t34)) % 206.07/206.59 (define @t261 () (not @t36)) % 206.07/206.59 (define @t262 () (or @t260 @t261 @t260 @t259)) % 206.07/206.59 (define @t263 () (or @t261 @t260 @t259)) % 206.07/206.59 (define @t264 () (forall @t38 @t263)) % 206.07/206.59 (define @t265 () (or @t244 @t264)) % 206.07/206.59 (define @t266 () (or @t244 @t263)) % 206.07/206.59 (define @t267 () (or @t261 @t244 @t260 @t259)) % 206.07/206.59 (define @t268 () (forall @t38 (not @t37))) % 206.07/206.59 (define @t269 () (not @t268)) % 206.07/206.59 (define @t270 () (@quantifiers_skolemize @t159 1)) % 206.07/206.59 (define @t271 () (@quantifiers_skolemize @t159 0)) % 206.07/206.59 (define @t272 () (_ @t136 @t271 @t270 @t150)) % 206.07/206.59 (define @t273 () (_ @t139 @t271)) % 206.07/206.59 (define @t274 () (_ @t141 (_ @t139 @t272) @t273 (_ @t138 @t271 @t272))) % 206.07/206.59 (define @t275 () (@quantifiers_skolemize @t159 2)) % 206.07/206.59 (define @t276 () (_ @t139 @t270)) % 206.07/206.59 (define @t277 () (@quantifiers_skolemize @t159 3)) % 206.07/206.59 (define @t278 () (forall @t153 (= (_ @t148 @t150 @t277) (and (_ @t148 @t150 @t276) (_ @t147 @t150 @t276) (_ @t145 @t274 @t271 @t270) (= @t275 (_ @t143 @t271 @t274)))))) % 206.07/206.59 (define @t279 () (@quantifiers_skolemize @t159 4)) % 206.07/206.59 (define @t280 () (= @t277 @t279)) % 206.07/206.59 (define @t281 () (_ @t136 @t271 @t270 @t135)) % 206.07/206.59 (define @t282 () (_ @t141 (_ @t139 @t281) @t273 (_ @t138 @t271 @t281))) % 206.07/206.59 (define @t283 () (forall @t149 (= (_ @t148 @t135 @t279) (and (_ @t148 @t135 @t276) (_ @t147 @t135 @t276) (_ @t145 @t282 @t271 @t270) (= @t275 (_ @t143 @t271 @t282)))))) % 206.07/206.59 (define @t284 () (not @t283)) % 206.07/206.59 (define @t285 () (not @t278)) % 206.07/206.59 (define @t286 () (or (tptp.empty_carrier @t271) (not (tptp.topological_space @t271)) (not (tptp.top_str @t271)) (tptp.empty_carrier @t270) (not (tptp.transitive_relstr @t270)) (not (tptp.directed_relstr @t270)) (not (tptp.net_str @t270 @t271)) @t285 @t284 @t280)) % 206.07/206.59 (define @t287 () (@list true)) % 206.07/206.59 (define @t288 () (@list @t286)) % 206.07/206.59 (define @t289 () (@var "b_C" it_4_$$unsorted)) % 206.07/206.59 (define @t290 () (@list @t289)) % 206.07/206.59 (define @t291 () (forall @t290 (= (_ @t148 @t289 @t279) (_ @t148 @t289 @t277)))) % 206.07/206.59 (define @t292 () (@quantifiers_skolemize @t291 0)) % 206.07/206.59 (define @t293 () (@list @t292)) % 206.07/206.59 (define @t294 () (@var "b_B" it_4_$$unsorted)) % 206.07/206.59 (define @t295 () (@var "b_A" it_4_$$unsorted)) % 206.07/206.59 (define @t296 () (forall (@list @t295 @t294) (or (not (forall @t290 (= (_ @t148 @t289 @t295) (_ @t148 @t289 @t294)))) (= @t295 @t294)))) % 206.07/206.59 (define @t297 () (not @t291)) % 206.07/206.59 (define @t298 () (or @t297 (= @t279 @t277))) % 206.07/206.59 (define @t299 () (or @t297 @t280)) % 206.07/206.59 (define @t300 () (@list true false)) % 206.07/206.59 (define @t301 () (_ @t148 @t292 @t277)) % 206.07/206.59 (define @t302 () (_ @t148 @t292 @t279)) % 206.07/206.59 (define @t303 () (= @t302 @t301)) % 206.07/206.59 (define @t304 () (_ @t136 @t271 @t270 @t292)) % 206.07/206.59 (define @t305 () (_ @t141 (_ @t139 @t304) @t273 (_ @t138 @t271 @t304))) % 206.07/206.59 (define @t306 () (and (_ @t148 @t292 @t276) (_ @t147 @t292 @t276) (_ @t145 @t305 @t271 @t270) (= @t275 (_ @t143 @t271 @t305)))) % 206.07/206.59 (define @t307 () (= @t302 @t306)) % 206.07/206.59 (define @t308 () (not @t307)) % 206.07/206.59 (define @t309 () (not @t306)) % 206.07/206.59 (define @t310 () (= @t301 @t306)) % 206.07/206.59 (define @t311 () (not @t310)) % 206.07/206.59 (define @t312 () (not @t301)) % 206.07/206.59 (assume @p1 @t66) % 206.07/206.59 (assume @p2 (forall @t77 (=> @t57 (exists @t76 (and @t75 @t73 @t72 @t71 @t70 @t69 @t68 @t67))))) % 206.07/206.59 (assume @p3 (forall @t77 (=> @t81 (exists @t76 (and @t75 @t73 @t80 @t79 @t72 @t71 @t70 @t69 @t68 @t67 @t78))))) % 206.07/206.59 (assume @p4 (exists @t77 (and @t84 @t82))) % 206.07/206.59 (assume @p5 (forall @t77 (=> @t84 (exists @t76 (and @t88 @t86 @t85))))) % 206.07/206.59 (assume @p6 (forall @t77 (=> @t82 (forall @t76 (=> @t88 @t85))))) % 206.07/206.59 (assume @p7 (forall @t90 (=> (and @t82 @t85) (tptp.finite @t89)))) % 206.07/206.59 (assume @p8 (forall @t77 (=> @t81 (exists @t76 (and @t75 @t80))))) % 206.07/206.59 (assume @p9 (forall @t77 (=> @t81 (exists @t76 (and @t75 @t80 @t79))))) % 206.07/206.59 (assume @p10 (forall @t77 (=> @t91 (exists @t76 (and @t75 @t86 @t80 @t79))))) % 206.07/206.59 (assume @p11 (forall @t77 (=> @t81 (forall @t76 (=> @t75 (=> @t78 @t67)))))) % 206.07/206.59 (assume @p12 (forall @t77 (=> @t81 (forall @t76 (=> @t75 (=> (and @t79 @t67) (and @t67 @t78))))))) % 206.07/206.59 (assume @p13 (forall @t77 (=> @t81 (forall @t76 (=> @t75 (=> (and @t80 @t78) (and @t73 @t80 @t79 @t72 @t71 @t70 @t69 @t68 @t67 @t78))))))) % 206.07/206.59 (assume @p14 (forall @t77 (exists @t76 (and (tptp.element @t5 (tptp.powerset @t87)) @t86 @t85)))) % 206.07/206.59 (assume @p15 (forall @t77 (=> @t92 (exists @t76 (and (tptp.element @t5 (tptp.powerset @t74)) @t86 @t85))))) % 206.07/206.59 (assume @p16 (forall @t99 (=> @t98 (forall (@list @t2 @t1 @t11 @t32) (=> (= @t93 (tptp.net_str_of @t2 @t1 @t11 @t32)) (and (= @t6 @t2) (= @t5 @t1) (= @t63 @t11) (= @t13 @t32))))))) % 206.07/206.59 (assume @p17 (forall @t99 (=> @t98 (and @t100 (tptp.net_str @t93 @t6))))) % 206.07/206.59 (assume @p18 true) % 206.07/206.59 (assume @p19 (forall @t77 (=> @t101 (tptp.relation_of2_as_subset (tptp.the_InternalRel @t6) @t8 @t8)))) % 206.07/206.59 (assume @p20 (forall @t77 (=> @t84 (exists @t76 (and @t88 @t86))))) % 206.07/206.59 (assume @p21 (forall @t90 (=> (and @t84 @t86) (not (tptp.empty @t89))))) % 206.07/206.59 (assume @p22 (forall @t77 (exists @t76 (and @t88 @t73)))) % 206.07/206.59 (assume @p23 (forall @t77 (=> @t83 @t82))) % 206.07/206.59 (assume @p24 (forall @t77 (=> @t102 (exists @t76 (and @t75 @t86))))) % 206.07/206.59 (assume @p25 (forall @t77 (=> @t81 (exists @t76 (and @t75 @t79))))) % 206.07/206.59 (assume @p26 (forall @t77 (=> @t91 (exists @t76 (and @t75 @t86 @t79))))) % 206.07/206.59 (assume @p27 (forall @t77 (=> @t81 (forall @t76 (=> @t75 (=> @t73 (and @t80 @t79))))))) % 206.07/206.59 (assume @p28 (forall @t77 (=> @t57 (forall @t76 (=> @t75 (=> @t73 @t67)))))) % 206.07/206.59 (assume @p29 (forall @t77 (=> @t81 (forall @t76 (=> @t75 (=> @t73 @t78)))))) % 206.07/206.59 (assume @p30 (forall @t64 (=> @t103 (tptp.relation @t63)))) % 206.07/206.59 (assume @p31 (forall @t99 (=> (and @t92 @t86 @t97 @t96 @t95 @t94) (and (not (tptp.empty_carrier @t93)) @t100)))) % 206.07/206.59 (assume @p32 (exists @t77 (and @t83 @t104))) % 206.07/206.59 (assume @p33 (forall @t77 (=> @t83 @t104))) % 206.07/206.59 (assume @p34 (exists @t77 @t105)) % 206.07/206.59 (assume @p35 (forall @t77 (=> @t105 (not @t107)))) % 206.07/206.59 (assume @p36 (forall @t77 (=> @t83 (and @t107 (tptp.relation @t106))))) % 206.07/206.59 (assume @p37 (forall @t90 (=> @t110 (=> @t109 (= @t5 (tptp.net_str_of @t6 @t15 (tptp.the_InternalRel @t5) @t108)))))) % 206.07/206.59 (assume @p38 (forall @t64 (= @t112 @t111))) % 206.07/206.59 (assume @p39 (forall @t64 (=> (and @t60 @t92 @t56 @t52 @t115) (and @t114 (tptp.net_str @t113 @t6))))) % 206.07/206.59 (assume @p40 (forall @t77 (=> @t101 @t92))) % 206.07/206.59 (assume @p41 (forall @t64 (=> @t112 @t103))) % 206.07/206.59 (assume @p42 (forall @t90 (=> @t121 (forall @t120 (=> @t119 (and @t118 @t117 @t116 (tptp.net_str @t63 @t6))))))) % 206.07/206.59 (assume @p43 (forall @t77 (not (tptp.empty @t87)))) % 206.07/206.59 (assume @p44 (exists @t77 (and @t92 @t60))) % 206.07/206.59 (assume @p45 (forall @t77 (=> @t102 (not (tptp.empty @t8))))) % 206.07/206.59 (assume @p46 (forall @t90 (=> (and @t58 @t57 @t75) (tptp.closed_subset @t122 @t6)))) % 206.07/206.59 (assume @p47 (forall @t77 (=> @t92 (exists @t76 (and @t52 @t109))))) % 206.07/206.59 (assume @p48 (forall @t64 (=> (and @t60 @t92 @t56 @t53 @t52 @t115) (and @t123 @t114)))) % 206.07/206.59 (assume @p49 (forall @t64 (=> @t124 (and @t123 (tptp.transitive_relstr @t113) @t114 (tptp.directed_relstr @t113))))) % 206.07/206.59 (assume @p50 (forall @t90 (=> @t121 (exists @t120 (and @t119 @t118 @t117 (tptp.strict_net_str @t63 @t6) @t116))))) % 206.07/206.59 (assume @p51 (forall @t90 (=> @t127 (and (not (tptp.empty @t108)) (tptp.relation @t108) @t126 @t125)))) % 206.07/206.59 (assume @p52 (forall @t90 (=> (tptp.in @t6 @t5) (not (tptp.in @t5 @t6))))) % 206.07/206.59 (assume @p53 (forall @t64 (=> @t111 (= @t128 (tptp.relation_rng @t63))))) % 206.07/206.59 (assume @p54 (forall @t64 (=> @t124 (= @t129 @t113)))) % 206.07/206.59 (assume @p55 (forall @t64 (=> @t111 (tptp.element @t128 (tptp.powerset @t5))))) % 206.07/206.59 (assume @p56 (forall @t90 (=> (and @t57 @t75) (tptp.element @t122 @t74)))) % 206.07/206.59 (assume @p57 (forall @t64 (=> @t124 (and (tptp.strict_net_str @t129 @t6) (tptp.subnet @t129 @t6 @t5))))) % 206.07/206.59 (assume @p58 (forall @t77 (=> @t57 @t92))) % 206.07/206.59 (assume @p59 (forall @t77 (=> @t92 (forall @t76 (=> @t52 (tptp.rel_str @t5)))))) % 206.07/206.59 (assume @p60 (forall @t90 (=> @t127 (forall @t120 (=> (tptp.netstr_induced_subset @t63 @t6 @t5) (tptp.element @t63 @t74)))))) % 206.07/206.59 (assume @p61 (forall @t90 (=> @t110 (and @t126 @t125 (tptp.relation_of2_as_subset @t108 @t15 @t8))))) % 206.07/206.59 (assume @p62 @t132) % 206.07/206.59 ; WARNING: add trust step for TRUST % 206.07/206.59 ; trust TRUST PREPROCESS_SORT_INFER % 206.07/206.59 (step @p63 :rule trust :premises () :args ((= (not (forall @t172 (or @t59 @t158 @t157 @t55 @t156 @t155 @t154 (not (forall @t28 (= @t171 @t169))) (not (forall @t28 (= @t170 @t169))) @t162))) (not @t159)))) % 206.07/206.59 (step @p64 :rule refl :args (@t162)) % 206.07/206.59 (step @p65 :rule eq-symm :args (@t169 @t170)) % 206.07/206.59 (step @p66 :rule refl :args (@t170)) % 206.07/206.59 (step @p67 :rule eq-symm :args (@t163 @t166)) % 206.07/206.59 (step @p68 :rule refl :args (@t167)) % 206.07/206.59 (step @p69 :rule refl :args (@t168)) % 206.07/206.59 (step @p70 :rule refl :args (@t24)) % 206.07/206.59 (step @p71 :rule nary_cong :premises (@p70 @p69 @p68 @p67) :args (@t173)) % 206.07/206.59 (step @p72 :rule cong :premises (@p71 @p66) :args ((= @t173 @t170))) % 206.07/206.59 (step @p73 :rule trans :premises (@p72 @p65)) % 206.07/206.59 (step @p74 :rule eq-symm :args (@t170 @t173)) % 206.07/206.59 (step @p75 :rule trans :premises (@p74 @p73)) % 206.07/206.59 (step @p76 :rule cong :premises (@p75) :args (@t174)) % 206.07/206.59 (step @p77 :rule cong :premises (@p76) :args (@t175)) % 206.07/206.59 (step @p78 :rule refl :args (@t171)) % 206.07/206.59 (step @p79 :rule cong :premises (@p78 @p71) :args (@t176)) % 206.07/206.59 (step @p80 :rule cong :premises (@p79) :args (@t177)) % 206.07/206.59 (step @p81 :rule cong :premises (@p80) :args (@t178)) % 206.07/206.59 (step @p82 :rule refl :args (@t154)) % 206.07/206.59 (step @p83 :rule refl :args (@t155)) % 206.07/206.59 (step @p84 :rule refl :args (@t156)) % 206.07/206.59 (step @p85 :rule refl :args (@t55)) % 206.07/206.59 (step @p86 :rule refl :args (@t157)) % 206.07/206.59 (step @p87 :rule refl :args (@t158)) % 206.07/206.59 (step @p88 :rule refl :args (@t59)) % 206.07/206.59 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86 @p85 @p84 @p83 @p82 @p81 @p77 @p64) :args (@t179)) % 206.07/206.59 (step @p90 :rule aci_norm :args ((= @t181 @t179))) % 206.07/206.59 (step @p91 :rule trans :premises (@p90 @p89)) % 206.07/206.59 (step @p92 :rule cong :premises (@p91) :args (@t182)) % 206.07/206.59 (step @p93 :rule quant-merge-prenex :args ((= (forall @t90 @t184) @t182))) % 206.07/206.59 (step @p94 :rule alpha_equiv :args (@t185 (@list @t163 @t161 @t160) (@list @t13 @t2 @t1))) % 206.07/206.59 (step @p95 :rule refl :args (@t154)) % 206.07/206.59 (step @p96 :rule refl :args (@t155)) % 206.07/206.59 (step @p97 :rule refl :args (@t156)) % 206.07/206.59 (step @p98 :rule refl :args (@t55)) % 206.07/206.59 (step @p99 :rule refl :args (@t157)) % 206.07/206.59 (step @p100 :rule refl :args (@t158)) % 206.07/206.59 (step @p101 :rule refl :args (@t59)) % 206.07/206.59 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94) :args (@t186)) % 206.07/206.59 (step @p103 :rule quant-miniscope-or :args ((= @t184 @t186))) % 206.07/206.59 (step @p104 :rule trans :premises (@p103 @p102)) % 206.07/206.59 (step @p105 :rule symm :premises (@p104)) % 206.07/206.59 (step @p106 :rule cong :premises (@p105) :args (@t196)) % 206.07/206.59 (step @p107 :rule trans :premises (@p106 @p93)) % 206.07/206.59 (step @p108 :rule trans :premises (@p107 @p92)) % 206.07/206.59 (step @p109 :rule quant-unused-vars :args ((= (forall @t64 @t195) @t196))) % 206.07/206.59 (step @p110 :rule trans :premises (@p109 @p108)) % 206.07/206.59 (step @p111 :rule aci_norm :args ((= (or (or @t59 @t158 @t157 @t55 @t156 @t155 @t154) @t194) @t195))) % 206.07/206.59 (step @p112 :rule refl :args (@t194)) % 206.07/206.59 (step @p113 :rule bool-double-not-elim :args (@t55)) % 206.07/206.59 (step @p114 :rule bool-double-not-elim :args (@t59)) % 206.07/206.59 (step @p115 :rule nary_cong :premises (@p114 @p100 @p99 @p113 @p97 @p96 @p95) :args (@t199)) % 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(@p293 @p315) :args ((or @t261 (not (and @t35 @t34 @t33))))) % 206.07/206.59 (step @p317 :rule bool-and-de-morgan :args (@t36 @t35 (and @t34 @t33))) % 206.07/206.59 (step @p318 :rule trans :premises (@p317 @p316)) % 206.07/206.59 (step @p319 :rule trans :premises (@p318 @p310)) % 206.07/206.59 (step @p320 :rule cong :premises (@p319) :args (@t268)) % 206.07/206.59 (step @p321 :rule trans :premises (@p320 @p309)) % 206.07/206.59 (step @p322 :rule cong :premises (@p321) :args (@t269)) % 206.07/206.59 (step @p323 :rule exists-elim :args ((= @t39 @t269))) % 206.07/206.59 (step @p324 :rule trans :premises (@p323 @p322)) % 206.07/206.59 (step @p325 :rule refl :args (@t40)) % 206.07/206.59 (step @p326 :rule nary_cong :premises (@p325 @p324) :args (@t41)) % 206.07/206.59 (step @p327 :rule cong :premises (@p326) :args (@t43)) % 206.07/206.59 (step @p328 :rule trans :premises (@p327 @p284)) % 206.07/206.59 (step @p329 :rule nary_cong :premises (@p70 @p328) :args (@t44)) % 206.07/206.59 (step @p330 :rule refl :args (@t45)) % 206.07/206.59 (step @p331 :rule cong :premises (@p330 @p329) :args (@t46)) % 206.07/206.59 (step @p332 :rule cong :premises (@p331) :args (@t47)) % 206.07/206.59 (step @p333 :rule trans :premises (@p332 @p260)) % 206.07/206.59 (step @p334 :rule nary_cong :premises (@p333 @p257) :args (@t48)) % 206.07/206.59 (step @p335 :rule cong :premises (@p334 @p151) :args (@t49)) % 206.07/206.59 (step @p336 :rule cong :premises (@p335) :args (@t51)) % 206.07/206.59 (step @p337 :rule trans :premises (@p336 @p150)) % 206.07/206.59 (step @p338 :rule refl :args (@t61)) % 206.07/206.59 (step @p339 :rule cong :premises (@p338 @p337) :args (@t62)) % 206.07/206.59 (step @p340 :rule cong :premises (@p339) :args (@t65)) % 206.07/206.59 (step @p341 :rule trans :premises (@p340 @p142)) % 206.07/206.59 (step @p342 :rule cong :premises (@p341) :args (@t66)) % 206.07/206.59 (step @p343 :rule trans :premises (@p342 @p63)) % 206.07/206.59 (step @p344 :rule eq_resolve :premises (@p1 @p343)) % 206.07/206.59 (step @p345 :rule skolemize :premises (@p344)) % 206.07/206.59 (step @p346 :rule bool-double-not-elim :args (@t278)) % 206.07/206.59 (step @p347 :rule refl :args (@t286)) % 206.07/206.59 (step @p348 :rule nary_cong :premises (@p347 @p346) :args ((or @t286 (not @t285)))) % 206.07/206.59 (step @p349 :rule cnf_or_neg :args (@t286 7)) % 206.07/206.59 (step @p350 :rule eq_resolve :premises (@p349 @p348)) % 206.07/206.59 (step @p351 :rule reordering :premises (@p350) :args ((or @t278 @t286))) % 206.07/206.59 (step @p352 :rule chain_m_resolution :premises (@p351 @p345) :args (@t278 @t287 @t288)) % 206.07/206.59 (step @p353 :rule instantiate :premises (@p352) :args (@t293)) % 206.07/206.59 ; trust TRUST PREPROCESS_SORT_INFER % 206.07/206.59 (step @p354 :rule trust :premises () :args ((= (forall @t90 (or (not @t131) @t130)) @t296))) % 206.07/206.59 (step @p355 :rule bool-impl-elim :args (@t131 @t130)) % 206.07/206.59 (step @p356 :rule cong :premises (@p355) :args (@t132)) % 206.07/206.59 (step @p357 :rule trans :premises (@p356 @p354)) % 206.07/206.59 (step @p358 :rule eq_resolve :premises (@p62 @p357)) % 206.07/206.59 (step @p359 :rule eq-symm :args (@t279 @t277)) % 206.07/206.59 (step @p360 :rule refl :args (@t297)) % 206.07/206.59 (step @p361 :rule nary_cong :premises (@p360 @p359) :args (@t298)) % 206.07/206.59 (step @p362 :rule refl :args (@t296)) % 206.07/206.59 (step @p363 :rule cong :premises (@p362 @p361) :args ((=> @t296 @t298))) % 206.07/206.59 (assume-push @p399 @t296) % 206.07/206.59 (step @p365 :rule instantiate :premises (@p358) :args ((@list @t279 @t277))) % 206.07/206.59 (step-pop @p400 :rule scope :premises (@p365)) % 206.07/206.59 (step @p366 :rule process_scope :premises (@p400) :args (@t298)) % 206.07/206.59 (step @p368 :rule eq_resolve :premises (@p366 @p363)) % 206.07/206.59 (step @p369 :rule implies_elim :premises (@p368)) % 206.07/206.59 (step @p370 :rule chain_m_resolution :premises (@p369 @p358) :args (@t299 (@list false) (@list @t296))) % 206.07/206.59 (step @p371 :rule cnf_or_neg :args (@t286 9)) % 206.07/206.59 (step @p372 :rule chain_m_resolution :premises (@p371 @p345) :args ((not @t280) @t287 @t288)) % 206.07/206.59 (step @p373 :rule cnf_or_pos :args (@t299)) % 206.07/206.59 (step @p374 :rule reordering :premises (@p373) :args ((or @t280 @t297 (not @t299)))) % 206.07/206.59 (step @p375 :rule chain_m_resolution :premises (@p374 @p372 @p370) :args (@t297 @t300 (@list @t280 @t299))) % 206.07/206.59 (step @p376 :rule skolemize :premises (@p375)) % 206.07/206.59 (step @p377 :rule cnf_equiv_neg1 :args (@t303)) % 206.07/206.59 (step @p378 :rule reordering :premises (@p377) :args ((or @t302 @t301 @t303))) % 206.07/206.59 (step @p379 :rule bool-double-not-elim :args (@t283)) % 206.07/206.59 (step @p380 :rule nary_cong :premises (@p347 @p379) :args ((or @t286 (not @t284)))) % 206.07/206.59 (step @p381 :rule cnf_or_neg :args (@t286 8)) % 206.07/206.59 (step @p382 :rule eq_resolve :premises (@p381 @p380)) % 206.07/206.59 (step @p383 :rule reordering :premises (@p382) :args ((or @t283 @t286))) % 206.07/206.59 (step @p384 :rule chain_m_resolution :premises (@p383 @p345) :args (@t283 @t287 @t288)) % 206.07/206.59 (step @p385 :rule instantiate :premises (@p384) :args (@t293)) % 206.07/206.59 (step @p386 :rule cnf_equiv_pos2 :args (@t307)) % 206.07/206.59 (step @p387 :rule reordering :premises (@p386) :args ((or @t302 @t309 @t308))) % 206.07/206.59 (step @p388 :rule cnf_equiv_pos1 :args (@t310)) % 206.07/206.59 (step @p389 :rule reordering :premises (@p388) :args ((or @t312 @t306 @t311))) % 206.07/206.59 (step @p390 :rule chain_m_resolution :premises (@p389 @p353 @p387 @p385 @p378 @p376) :args (@t302 (@list false true false false true) (@list @t310 @t306 @t307 @t301 @t303))) % 206.07/206.59 (step @p391 :rule cnf_equiv_neg2 :args (@t303)) % 206.07/206.59 (step @p392 :rule chain_m_resolution :premises (@p391 @p376 @p390) :args (@t312 @t300 (@list @t303 @t302))) % 206.07/206.59 (step @p393 :rule cnf_equiv_pos1 :args (@t307)) % 206.07/206.59 (step @p394 :rule reordering :premises (@p393) :args ((or (not @t302) @t306 @t308))) % 206.07/206.59 (step @p395 :rule chain_m_resolution :premises (@p394 @p390 @p385) :args (@t306 (@list false false) (@list @t302 @t307))) % 206.07/206.59 (step @p396 :rule cnf_equiv_pos2 :args (@t310)) % 206.07/206.59 (step @p397 :rule reordering :premises (@p396) :args ((or @t301 @t309 @t311))) % 206.07/206.59 (step @p398 false :rule chain_m_resolution :premises (@p397 @p395 @p392 @p353) :args (false (@list false true false) (@list @t306 @t301 @t310))) % 206.07/206.59 ) % 206.07/206.59 % SZS output end Proof % 206.07/206.60 % cvc5 exiting %------------------------------------------------------------------------------