%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU381+1 : TPTP v9.2.1. Released 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 : n024.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 08:51:34 AM UTC 2026 % Result : Theorem 217.53s 217.80s % Output : Proof 217.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU381+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 12:05:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.34 %----Proving TF0_NAR, FOF, or CNF % 217.53/217.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 217.53/217.80 --- Run --no-e-matching --full-saturate-quant at 6... % 217.53/217.80 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 217.53/217.80 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 217.53/217.80 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 217.53/217.80 --- Run --trigger-sel=max --full-saturate-quant at 15... % 217.53/217.80 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 217.53/217.80 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 217.53/217.80 --- Run --prenex-quant=none --full-saturate-quant at 30... % 217.53/217.80 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 217.53/217.80 --- Run --relevant-triggers --full-saturate-quant at 30... % 217.53/217.80 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 217.53/217.80 % SZS status Theorem % 217.53/217.80 % SZS output start Proof % 217.53/217.80 ( % 217.53/217.80 (declare-sort $$unsorted 0) % 217.53/217.80 (declare-const tptp.boole_POSet (-> $$unsorted $$unsorted)) % 217.53/217.80 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.upper_relstr_subset (-> $$unsorted $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.v1_waybel_2 (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.v2_waybel_2 (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.v3_waybel_3 (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.related_reflexive (-> $$unsorted $$unsorted $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.v2_waybel_3 (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.trivial_carrier (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.empty_set $$unsorted) % 217.53/217.80 (declare-const tptp.distributive_relstr (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.complete_relstr (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.empty (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.join_complete_relstr (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.up_complete_relstr (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.finite (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.lower_bounded_relstr (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.upper_bounded_relstr (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.heyting_relstr (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.connected_relstr (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.with_infima_relstr (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.with_suprema_relstr (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 217.53/217.80 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 217.53/217.80 (declare-const tptp.complemented_relstr (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 217.53/217.80 (declare-const tptp.boolean_relstr (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 217.53/217.80 (declare-const tptp.filtered_subset (-> $$unsorted $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.bounded_relstr (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.directed_subset (-> $$unsorted $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 217.53/217.80 (declare-const tptp.relation (-> $$unsorted Bool)) % 217.53/217.80 (declare-const tptp.v1_yellow_3 (-> $$unsorted Bool)) % 217.53/217.80 (define @t1 () (@var "A" $$unsorted)) % 217.53/217.80 (define @t2 () (tptp.the_InternalRel @t1)) % 217.53/217.80 (define @t3 () (tptp.the_carrier @t1)) % 217.53/217.80 (define @t4 () (tptp.strict_rel_str @t1)) % 217.53/217.80 (define @t5 () (tptp.rel_str @t1)) % 217.53/217.80 (define @t6 () (@list @t1)) % 217.53/217.80 (define @t7 () (@var "B" $$unsorted)) % 217.53/217.80 (define @t8 () (tptp.in @t1 @t7)) % 217.53/217.80 (define @t9 () (@list @t1 @t7)) % 217.53/217.80 (define @t10 () (tptp.join_complete_relstr @t1)) % 217.53/217.80 (define @t11 () (tptp.up_complete_relstr @t1)) % 217.53/217.80 (define @t12 () (tptp.reflexive_relstr @t1)) % 217.53/217.80 (define @t13 () (tptp.empty_carrier @t1)) % 217.53/217.80 (define @t14 () (not @t13)) % 217.53/217.80 (define @t15 () (tptp.complete_relstr @t1)) % 217.53/217.80 (define @t16 () (tptp.heyting_relstr @t1)) % 217.53/217.80 (define @t17 () (tptp.distributive_relstr @t1)) % 217.53/217.80 (define @t18 () (tptp.upper_bounded_relstr @t1)) % 217.53/217.80 (define @t19 () (tptp.with_infima_relstr @t1)) % 217.53/217.80 (define @t20 () (tptp.with_suprema_relstr @t1)) % 217.53/217.80 (define @t21 () (tptp.antisymmetric_relstr @t1)) % 217.53/217.80 (define @t22 () (tptp.transitive_relstr @t1)) % 217.53/217.80 (define @t23 () (tptp.boolean_relstr @t1)) % 217.53/217.80 (define @t24 () (and @t14 @t23)) % 217.53/217.80 (define @t25 () (tptp.lower_bounded_relstr @t1)) % 217.53/217.80 (define @t26 () (tptp.bounded_relstr @t1)) % 217.53/217.80 (define @t27 () (tptp.finite @t1)) % 217.53/217.80 (define @t28 () (tptp.empty @t1)) % 217.53/217.80 (define @t29 () (tptp.filtered_subset @t7 @t1)) % 217.53/217.80 (define @t30 () (tptp.directed_subset @t7 @t1)) % 217.53/217.80 (define @t31 () (tptp.powerset @t3)) % 217.53/217.80 (define @t32 () (tptp.element @t7 @t31)) % 217.53/217.80 (define @t33 () (@list @t7)) % 217.53/217.80 (define @t34 () (tptp.connected_relstr @t1)) % 217.53/217.80 (define @t35 () (and @t14 @t15)) % 217.53/217.80 (define @t36 () (tptp.v1_yellow_3 @t1)) % 217.53/217.80 (define @t37 () (tptp.finite @t7)) % 217.53/217.80 (define @t38 () (tptp.powerset @t1)) % 217.53/217.80 (define @t39 () (tptp.element @t7 @t38)) % 217.53/217.80 (define @t40 () (tptp.trivial_carrier @t1)) % 217.53/217.80 (define @t41 () (and @t14 @t12 @t40)) % 217.53/217.80 (define @t42 () (not @t36)) % 217.53/217.80 (define @t43 () (tptp.v2_waybel_3 @t1)) % 217.53/217.80 (define @t44 () (tptp.v3_waybel_3 @t1)) % 217.53/217.80 (define @t45 () (and @t25 @t18)) % 217.53/217.80 (define @t46 () (and @t14 @t12 @t22 @t21 @t20 @t19)) % 217.53/217.80 (define @t47 () (and @t14 @t16)) % 217.53/217.80 (define @t48 () (=> @t47 @t46)) % 217.53/217.80 (define @t49 () (forall @t6 (=> @t5 @t48))) % 217.53/217.80 (define @t50 () (tptp.complemented_relstr @t1)) % 217.53/217.80 (define @t51 () (@var "D" $$unsorted)) % 217.53/217.80 (define @t52 () (tptp.in @t51 @t7)) % 217.53/217.80 (define @t53 () (@var "C" $$unsorted)) % 217.53/217.80 (define @t54 () (tptp.related @t1 @t53 @t51)) % 217.53/217.80 (define @t55 () (tptp.in @t53 @t7)) % 217.53/217.80 (define @t56 () (and @t55 @t54)) % 217.53/217.80 (define @t57 () (=> @t56 @t52)) % 217.53/217.80 (define @t58 () (tptp.element @t51 @t3)) % 217.53/217.80 (define @t59 () (@list @t51)) % 217.53/217.80 (define @t60 () (forall @t59 (=> @t58 @t57))) % 217.53/217.80 (define @t61 () (tptp.element @t53 @t3)) % 217.53/217.80 (define @t62 () (=> @t61 @t60)) % 217.53/217.80 (define @t63 () (@list @t53)) % 217.53/217.80 (define @t64 () (forall @t63 @t62)) % 217.53/217.80 (define @t65 () (tptp.upper_relstr_subset @t7 @t1)) % 217.53/217.80 (define @t66 () (= @t65 @t64)) % 217.53/217.80 (define @t67 () (=> @t32 @t66)) % 217.53/217.80 (define @t68 () (forall @t33 @t67)) % 217.53/217.80 (define @t69 () (=> @t5 @t68)) % 217.53/217.80 (define @t70 () (forall @t6 @t69)) % 217.53/217.80 (define @t71 () (tptp.rel_str_of @t1 @t7)) % 217.53/217.80 (define @t72 () (tptp.relation_of2 @t7 @t1 @t1)) % 217.53/217.80 (define @t73 () (tptp.boole_POSet @t1)) % 217.53/217.80 (define @t74 () (tptp.rel_str @t73)) % 217.53/217.80 (define @t75 () (tptp.strict_rel_str @t73)) % 217.53/217.80 (define @t76 () (forall @t6 (and @t75 @t74))) % 217.53/217.80 (define @t77 () (tptp.one_sorted_str @t1)) % 217.53/217.80 (define @t78 () (tptp.cartesian_product2 @t1 @t7)) % 217.53/217.80 (define @t79 () (tptp.relation_of2_as_subset @t53 @t1 @t7)) % 217.53/217.80 (define @t80 () (@list @t1 @t7 @t53)) % 217.53/217.80 (define @t81 () (tptp.relation_of2 @t53 @t1 @t7)) % 217.53/217.80 (define @t82 () (and @t14 @t77)) % 217.53/217.80 (define @t83 () (tptp.distributive_relstr @t73)) % 217.53/217.80 (define @t84 () (tptp.join_complete_relstr @t73)) % 217.53/217.80 (define @t85 () (tptp.up_complete_relstr @t73)) % 217.53/217.80 (define @t86 () (tptp.bounded_relstr @t73)) % 217.53/217.80 (define @t87 () (tptp.upper_bounded_relstr @t73)) % 217.53/217.80 (define @t88 () (tptp.lower_bounded_relstr @t73)) % 217.53/217.80 (define @t89 () (tptp.complete_relstr @t73)) % 217.53/217.80 (define @t90 () (tptp.with_infima_relstr @t73)) % 217.53/217.80 (define @t91 () (tptp.with_suprema_relstr @t73)) % 217.53/217.80 (define @t92 () (tptp.antisymmetric_relstr @t73)) % 217.53/217.80 (define @t93 () (tptp.transitive_relstr @t73)) % 217.53/217.80 (define @t94 () (tptp.reflexive_relstr @t73)) % 217.53/217.80 (define @t95 () (not (tptp.empty_carrier @t73))) % 217.53/217.80 (define @t96 () (forall @t6 (and @t95 @t75 @t94 @t93 @t92 @t91 @t90 @t89 @t88 @t87 @t86 @t85 @t84 @t83))) % 217.53/217.80 (define @t97 () (tptp.boolean_relstr @t73)) % 217.53/217.80 (define @t98 () (tptp.complemented_relstr @t73)) % 217.53/217.80 (define @t99 () (tptp.heyting_relstr @t73)) % 217.53/217.80 (define @t100 () (not (tptp.v1_yellow_3 @t73))) % 217.53/217.80 (define @t101 () (forall @t6 (and @t95 @t75 @t94 @t93 @t92 @t88 @t87 @t86 @t85 @t84 @t100 @t83 @t99 @t98 @t97 @t91 @t90 @t89))) % 217.53/217.80 (define @t102 () (not @t28)) % 217.53/217.80 (define @t103 () (tptp.empty @t7)) % 217.53/217.80 (define @t104 () (not @t103)) % 217.53/217.80 (define @t105 () (@list @t53 @t51)) % 217.53/217.80 (define @t106 () (= (tptp.related_reflexive @t1 @t7 @t53) (tptp.related @t1 @t7 @t53))) % 217.53/217.80 (define @t107 () (tptp.element @t7 @t3)) % 217.53/217.80 (define @t108 () (and @t14 @t12 @t5 @t107 @t61)) % 217.53/217.80 (define @t109 () (forall @t80 (=> @t108 @t106))) % 217.53/217.80 (define @t110 () (tptp.subset @t51 @t1)) % 217.53/217.80 (define @t111 () (tptp.subset @t53 @t51)) % 217.53/217.80 (define @t112 () (and @t111 @t110 @t55)) % 217.53/217.80 (define @t113 () (forall @t105 (=> @t112 @t52))) % 217.53/217.80 (define @t114 () (tptp.upper_relstr_subset @t7 @t73)) % 217.53/217.80 (define @t115 () (= @t114 @t113)) % 217.53/217.80 (define @t116 () (tptp.the_carrier @t73)) % 217.53/217.80 (define @t117 () (tptp.element @t7 (tptp.powerset @t116))) % 217.53/217.80 (define @t118 () (=> @t117 @t115)) % 217.53/217.80 (define @t119 () (forall @t9 @t118)) % 217.53/217.80 (define @t120 () (not @t119)) % 217.53/217.80 (define @t121 () (tptp.element @t1 @t7)) % 217.53/217.80 (define @t122 () (= (tptp.related_reflexive @t73 @t7 @t53) (tptp.subset @t7 @t53))) % 217.53/217.80 (define @t123 () (tptp.element @t53 @t116)) % 217.53/217.80 (define @t124 () (forall @t63 (=> @t123 @t122))) % 217.53/217.80 (define @t125 () (tptp.element @t7 @t116)) % 217.53/217.80 (define @t126 () (=> @t125 @t124)) % 217.53/217.80 (define @t127 () (forall @t9 @t126)) % 217.53/217.80 (define @t128 () (forall @t9 (= (tptp.element @t1 (tptp.powerset @t7)) (tptp.subset @t1 @t7)))) % 217.53/217.80 (define @t129 () (tptp.element @t1 @t53)) % 217.53/217.80 (define @t130 () (tptp.element @t7 (tptp.powerset @t53))) % 217.53/217.80 (define @t131 () (and @t8 @t130)) % 217.53/217.80 (define @t132 () (forall @t80 (=> @t131 @t129))) % 217.53/217.80 (define @t133 () (forall @t6 (= @t116 @t38))) % 217.53/217.80 (define @t134 () (@var "b_B" it_10_$$unsorted)) % 217.53/217.80 (define @t135 () (@var "b_A" it_10_$$unsorted)) % 217.53/217.80 (define @t136 () (@const 0 (-> it_10_$$unsorted it_10_$$unsorted Bool))) % 217.53/217.80 (define @t137 () (@const 1 (-> it_10_$$unsorted it_10_$$unsorted))) % 217.53/217.80 (define @t138 () (@const 2 (-> it_10_$$unsorted it_10_$$unsorted Bool))) % 217.53/217.80 (define @t139 () (forall (@list @t135 @t134) (= (_ @t138 @t135 (_ @t137 @t134)) (_ @t136 @t135 @t134)))) % 217.53/217.80 (define @t140 () (@var "b_B" it_10_$$unsorted)) % 217.53/217.80 (define @t141 () (@var "b_D" it_10_$$unsorted)) % 217.53/217.80 (define @t142 () (@const 3 (-> it_10_$$unsorted it_10_$$unsorted Bool))) % 217.53/217.80 (define @t143 () (@var "b_C" it_10_$$unsorted)) % 217.53/217.80 (define @t144 () (@var "b_A" it_10_$$unsorted)) % 217.53/217.80 (define @t145 () (not (_ @t136 @t143 @t141))) % 217.53/217.80 (define @t146 () (@list @t143 @t141)) % 217.53/217.80 (define @t147 () (@const 4 (-> it_10_$$unsorted $$unsorted))) % 217.53/217.80 (define @t148 () (_ @t147 @t144)) % 217.53/217.80 (define @t149 () (@const 5 (-> it_10_$$unsorted $$unsorted Bool))) % 217.53/217.80 (define @t150 () (@const 6 (-> $$unsorted it_10_$$unsorted))) % 217.53/217.80 (define @t151 () (forall (@list @t144 @t140) (or (not (_ @t138 @t140 (_ @t137 (_ @t150 @t148)))) (= (_ @t149 @t140 @t148) (forall @t146 (or @t145 (not (_ @t136 @t141 @t144)) (not (_ @t142 @t143 @t140)) (_ @t142 @t141 @t140))))))) % 217.53/217.80 (define @t152 () (not @t55)) % 217.53/217.80 (define @t153 () (not @t110)) % 217.53/217.80 (define @t154 () (not @t111)) % 217.53/217.80 (define @t155 () (or @t154 @t153 @t152 @t52)) % 217.53/217.80 (define @t156 () (= @t114 (forall @t105 @t155))) % 217.53/217.80 (define @t157 () (or @t154 @t153 @t152)) % 217.53/217.80 (define @t158 () (@quantifiers_skolemize @t151 1)) % 217.53/217.80 (define @t159 () (@quantifiers_skolemize @t151 0)) % 217.53/217.80 (define @t160 () (forall @t146 (or @t145 (not (_ @t136 @t141 @t159)) (not (_ @t142 @t143 @t158)) (_ @t142 @t141 @t158)))) % 217.53/217.80 (define @t161 () (_ @t147 @t159)) % 217.53/217.80 (define @t162 () (_ @t149 @t158 @t161)) % 217.53/217.80 (define @t163 () (= @t162 @t160)) % 217.53/217.80 (define @t164 () (_ @t150 @t161)) % 217.53/217.80 (define @t165 () (_ @t138 @t158 (_ @t137 @t164))) % 217.53/217.80 (define @t166 () (not @t165)) % 217.53/217.80 (define @t167 () (or @t166 @t163)) % 217.53/217.80 (define @t168 () (@list true)) % 217.53/217.80 (define @t169 () (@list @t167)) % 217.53/217.80 (define @t170 () (@var "b_BOUND_VARIABLE_8370" it_10_$$unsorted)) % 217.53/217.80 (define @t171 () (@var "b_BOUND_VARIABLE_8363" it_10_$$unsorted)) % 217.53/217.80 (define @t172 () (@var "b_BOUND_VARIABLE_8356" it_10_$$unsorted)) % 217.53/217.80 (define @t173 () (@var "b_BOUND_VARIABLE_8350" it_10_$$unsorted)) % 217.53/217.80 (define @t174 () (@var "b_BOUND_VARIABLE_8343" it_10_$$unsorted)) % 217.53/217.80 (define @t175 () (@var "b_BOUND_VARIABLE_8336" it_10_$$unsorted)) % 217.53/217.80 (define @t176 () (@var "b_BOUND_VARIABLE_8330" it_10_$$unsorted)) % 217.53/217.80 (define @t177 () (@var "b_BOUND_VARIABLE_8324" it_10_$$unsorted)) % 217.53/217.80 (define @t178 () (@var "b_BOUND_VARIABLE_8317" it_10_$$unsorted)) % 217.53/217.80 (define @t179 () (@var "b_BOUND_VARIABLE_8310" it_10_$$unsorted)) % 217.53/217.80 (define @t180 () (@var "b_BOUND_VARIABLE_8303" it_10_$$unsorted)) % 217.53/217.80 (define @t181 () (@var "b_BOUND_VARIABLE_8296" it_10_$$unsorted)) % 217.53/217.80 (define @t182 () (@var "b_BOUND_VARIABLE_8290" it_10_$$unsorted)) % 217.53/217.80 (define @t183 () (@var "b_BOUND_VARIABLE_8283" it_10_$$unsorted)) % 217.53/217.80 (define @t184 () (@var "BOUND_VARIABLE_8370" $$unsorted)) % 217.53/217.80 (define @t185 () (@var "BOUND_VARIABLE_8363" $$unsorted)) % 217.53/217.80 (define @t186 () (@var "BOUND_VARIABLE_8356" $$unsorted)) % 217.53/217.80 (define @t187 () (@var "BOUND_VARIABLE_8350" $$unsorted)) % 217.53/217.80 (define @t188 () (@var "BOUND_VARIABLE_8343" $$unsorted)) % 217.53/217.80 (define @t189 () (@var "BOUND_VARIABLE_8336" $$unsorted)) % 217.53/217.80 (define @t190 () (@var "BOUND_VARIABLE_8330" $$unsorted)) % 217.53/217.80 (define @t191 () (@var "BOUND_VARIABLE_8324" $$unsorted)) % 217.53/217.80 (define @t192 () (@var "BOUND_VARIABLE_8317" $$unsorted)) % 217.53/217.80 (define @t193 () (@var "BOUND_VARIABLE_8310" $$unsorted)) % 217.53/217.80 (define @t194 () (@var "BOUND_VARIABLE_8303" $$unsorted)) % 217.53/217.80 (define @t195 () (@var "BOUND_VARIABLE_8296" $$unsorted)) % 217.53/217.80 (define @t196 () (@var "BOUND_VARIABLE_8290" $$unsorted)) % 217.53/217.80 (define @t197 () (@var "BOUND_VARIABLE_8283" $$unsorted)) % 217.53/217.80 (define @t198 () (forall @t6 @t83)) % 217.53/217.80 (define @t199 () (@list @t1)) % 217.53/217.80 (define @t200 () (forall @t6 @t84)) % 217.53/217.80 (define @t201 () (forall @t6 @t85)) % 217.53/217.80 (define @t202 () (forall @t6 @t86)) % 217.53/217.80 (define @t203 () (forall @t6 @t87)) % 217.53/217.80 (define @t204 () (forall @t6 @t88)) % 217.53/217.80 (define @t205 () (forall @t6 @t89)) % 217.53/217.80 (define @t206 () (forall @t6 @t90)) % 217.53/217.80 (define @t207 () (forall @t6 @t91)) % 217.53/217.80 (define @t208 () (forall @t6 @t92)) % 217.53/217.80 (define @t209 () (forall @t6 @t93)) % 217.53/217.80 (define @t210 () (forall @t6 @t94)) % 217.53/217.80 (define @t211 () (forall @t6 @t75)) % 217.53/217.80 (define @t212 () (forall @t6 @t95)) % 217.53/217.80 (define @t213 () (and @t212 @t211 @t210 @t209 @t208 @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t200 @t198)) % 217.53/217.80 (define @t214 () (@list @t159)) % 217.53/217.80 (define @t215 () (not @t16)) % 217.53/217.80 (define @t216 () (not @t5)) % 217.53/217.80 (define @t217 () (or @t13 @t215 @t46)) % 217.53/217.80 (define @t218 () (not @t14)) % 217.53/217.80 (define @t219 () (@var "b_BOUND_VARIABLE_8486" it_10_$$unsorted)) % 217.53/217.80 (define @t220 () (@var "b_BOUND_VARIABLE_8479" it_10_$$unsorted)) % 217.53/217.80 (define @t221 () (@var "b_BOUND_VARIABLE_8472" it_10_$$unsorted)) % 217.53/217.80 (define @t222 () (@var "b_BOUND_VARIABLE_8465" it_10_$$unsorted)) % 217.53/217.80 (define @t223 () (@var "b_BOUND_VARIABLE_8458" it_10_$$unsorted)) % 217.53/217.80 (define @t224 () (@var "b_BOUND_VARIABLE_8452" it_10_$$unsorted)) % 217.53/217.80 (define @t225 () (@var "b_BOUND_VARIABLE_8446" it_10_$$unsorted)) % 217.53/217.80 (define @t226 () (@var "b_BOUND_VARIABLE_8439" it_10_$$unsorted)) % 217.53/217.80 (define @t227 () (@var "b_BOUND_VARIABLE_8433" it_10_$$unsorted)) % 217.53/217.80 (define @t228 () (@var "b_BOUND_VARIABLE_8427" it_10_$$unsorted)) % 217.53/217.80 (define @t229 () (@var "b_BOUND_VARIABLE_8421" it_10_$$unsorted)) % 217.53/217.80 (define @t230 () (@var "b_BOUND_VARIABLE_8415" it_10_$$unsorted)) % 217.53/217.80 (define @t231 () (@var "b_BOUND_VARIABLE_8409" it_10_$$unsorted)) % 217.53/217.80 (define @t232 () (@var "b_BOUND_VARIABLE_8403" it_10_$$unsorted)) % 217.53/217.80 (define @t233 () (@var "b_BOUND_VARIABLE_8397" it_10_$$unsorted)) % 217.53/217.80 (define @t234 () (@var "b_BOUND_VARIABLE_8391" it_10_$$unsorted)) % 217.53/217.80 (define @t235 () (@var "b_BOUND_VARIABLE_8385" it_10_$$unsorted)) % 217.53/217.80 (define @t236 () (@var "b_BOUND_VARIABLE_8378" it_10_$$unsorted)) % 217.53/217.80 (define @t237 () (@var "BOUND_VARIABLE_8486" $$unsorted)) % 217.53/217.80 (define @t238 () (@var "BOUND_VARIABLE_8479" $$unsorted)) % 217.53/217.80 (define @t239 () (@var "BOUND_VARIABLE_8472" $$unsorted)) % 217.53/217.80 (define @t240 () (@var "BOUND_VARIABLE_8465" $$unsorted)) % 217.53/217.80 (define @t241 () (@var "BOUND_VARIABLE_8458" $$unsorted)) % 217.53/217.80 (define @t242 () (@var "BOUND_VARIABLE_8452" $$unsorted)) % 217.53/217.80 (define @t243 () (@var "BOUND_VARIABLE_8446" $$unsorted)) % 217.53/217.80 (define @t244 () (@var "BOUND_VARIABLE_8439" $$unsorted)) % 217.53/217.80 (define @t245 () (@var "BOUND_VARIABLE_8433" $$unsorted)) % 217.53/217.80 (define @t246 () (@var "BOUND_VARIABLE_8427" $$unsorted)) % 217.53/217.80 (define @t247 () (@var "BOUND_VARIABLE_8421" $$unsorted)) % 217.53/217.80 (define @t248 () (@var "BOUND_VARIABLE_8415" $$unsorted)) % 217.53/217.80 (define @t249 () (@var "BOUND_VARIABLE_8409" $$unsorted)) % 217.53/217.80 (define @t250 () (@var "BOUND_VARIABLE_8403" $$unsorted)) % 217.53/217.80 (define @t251 () (@var "BOUND_VARIABLE_8397" $$unsorted)) % 217.53/217.80 (define @t252 () (@var "BOUND_VARIABLE_8391" $$unsorted)) % 217.53/217.80 (define @t253 () (@var "BOUND_VARIABLE_8385" $$unsorted)) % 217.53/217.80 (define @t254 () (@var "BOUND_VARIABLE_8378" $$unsorted)) % 217.53/217.80 (define @t255 () (forall @t6 @t97)) % 217.53/217.80 (define @t256 () (forall @t6 @t98)) % 217.53/217.80 (define @t257 () (forall @t6 @t99)) % 217.53/217.80 (define @t258 () (forall @t6 @t100)) % 217.53/217.80 (define @t259 () (and @t212 @t211 @t210 @t209 @t208 @t204 @t203 @t202 @t201 @t200 @t258 @t198 @t257 @t256 @t255 @t207 @t206 @t205)) % 217.53/217.80 (define @t260 () (@var "b_BOUND_VARIABLE_8228" it_10_$$unsorted)) % 217.53/217.80 (define @t261 () (@var "b_BOUND_VARIABLE_8222" it_10_$$unsorted)) % 217.53/217.80 (define @t262 () (@var "BOUND_VARIABLE_8228" $$unsorted)) % 217.53/217.80 (define @t263 () (@var "BOUND_VARIABLE_8222" $$unsorted)) % 217.53/217.80 (define @t264 () (forall @t6 @t74)) % 217.53/217.80 (define @t265 () (and @t211 @t264)) % 217.53/217.80 (define @t266 () (tptp.reflexive_relstr @t161)) % 217.53/217.80 (define @t267 () (tptp.empty_carrier @t161)) % 217.53/217.80 (define @t268 () (and (not @t267) @t266 (tptp.transitive_relstr @t161) (tptp.antisymmetric_relstr @t161) (tptp.with_suprema_relstr @t161) (tptp.with_infima_relstr @t161))) % 217.53/217.80 (define @t269 () (tptp.heyting_relstr @t161)) % 217.53/217.80 (define @t270 () (not @t269)) % 217.53/217.80 (define @t271 () (tptp.rel_str @t161)) % 217.53/217.80 (define @t272 () (not @t271)) % 217.53/217.80 (define @t273 () (or @t272 @t267 @t270 @t268)) % 217.53/217.80 (define @t274 () (@list false true false false)) % 217.53/217.80 (define @t275 () (@list false)) % 217.53/217.80 (define @t276 () (@var "b_BOUND_VARIABLE_8200" it_10_$$unsorted)) % 217.53/217.80 (define @t277 () (@var "b_BOUND_VARIABLE_8178" it_10_$$unsorted)) % 217.53/217.80 (define @t278 () (@var "b_C" it_10_$$unsorted)) % 217.53/217.80 (define @t279 () (@const 7 (-> $$unsorted it_10_$$unsorted it_10_$$unsorted Bool))) % 217.53/217.80 (define @t280 () (_ @t150 @t1)) % 217.53/217.80 (define @t281 () (@list @t278 @t277)) % 217.53/217.80 (define @t282 () (@var "BOUND_VARIABLE_8200" $$unsorted)) % 217.53/217.80 (define @t283 () (@var "BOUND_VARIABLE_8178" $$unsorted)) % 217.53/217.80 (define @t284 () (not (tptp.related @t1 @t53 @t283))) % 217.53/217.80 (define @t285 () (not (tptp.element @t283 @t3))) % 217.53/217.80 (define @t286 () (not @t61)) % 217.53/217.80 (define @t287 () (@list @t53 @t283)) % 217.53/217.80 (define @t288 () (= (tptp.upper_relstr_subset @t282 @t1) (forall @t287 (or @t286 (not (tptp.in @t53 @t282)) @t285 @t284 (tptp.in @t283 @t282))))) % 217.53/217.80 (define @t289 () (not (tptp.element @t282 @t31))) % 217.53/217.80 (define @t290 () (or @t216 @t289 @t288)) % 217.53/217.80 (define @t291 () (@list @t1 @t282)) % 217.53/217.80 (define @t292 () (or @t289 @t288)) % 217.53/217.80 (define @t293 () (or @t216 @t292)) % 217.53/217.80 (define @t294 () (forall @t291 @t293)) % 217.53/217.80 (define @t295 () (@list @t282)) % 217.53/217.80 (define @t296 () (forall @t295 @t293)) % 217.53/217.80 (define @t297 () (forall @t295 @t292)) % 217.53/217.80 (define @t298 () (or @t216 @t297)) % 217.53/217.80 (define @t299 () (tptp.in @t283 @t7)) % 217.53/217.80 (define @t300 () (or @t286 @t152 @t285 @t284 @t299)) % 217.53/217.80 (define @t301 () (= @t65 (forall @t287 @t300))) % 217.53/217.80 (define @t302 () (forall @t33 (or (not @t32) @t301))) % 217.53/217.80 (define @t303 () (or @t285 @t284 @t299)) % 217.53/217.80 (define @t304 () (or @t286 @t152 @t303)) % 217.53/217.80 (define @t305 () (forall @t287 @t304)) % 217.53/217.80 (define @t306 () (@list @t283)) % 217.53/217.80 (define @t307 () (forall @t306 @t304)) % 217.53/217.80 (define @t308 () (forall @t306 @t303)) % 217.53/217.80 (define @t309 () (or @t286 @t152 @t308)) % 217.53/217.80 (define @t310 () (not @t54)) % 217.53/217.80 (define @t311 () (not @t58)) % 217.53/217.80 (define @t312 () (or @t311 @t310 @t52)) % 217.53/217.80 (define @t313 () (forall @t59 @t312)) % 217.53/217.80 (define @t314 () (or @t286 @t152 @t313)) % 217.53/217.80 (define @t315 () (or @t152 @t313)) % 217.53/217.80 (define @t316 () (or @t152 @t312)) % 217.53/217.80 (define @t317 () (or @t311 @t152 @t310 @t52)) % 217.53/217.80 (define @t318 () (or @t152 @t310 @t52)) % 217.53/217.80 (define @t319 () (forall @t281 (or (not (_ @t138 @t278 @t164)) (not (_ @t142 @t278 @t158)) (not (_ @t138 @t277 @t164)) (not (_ @t279 @t161 @t278 @t277)) (_ @t142 @t277 @t158)))) % 217.53/217.80 (define @t320 () (= @t162 @t319)) % 217.53/217.80 (define @t321 () (or @t272 @t166 @t320)) % 217.53/217.80 (define @t322 () (@list false false false)) % 217.53/217.80 (define @t323 () (not @t320)) % 217.53/217.80 (define @t324 () (not @t162)) % 217.53/217.80 (define @t325 () (@quantifiers_skolemize @t160 1)) % 217.53/217.80 (define @t326 () (_ @t142 @t325 @t158)) % 217.53/217.80 (define @t327 () (@quantifiers_skolemize @t160 0)) % 217.53/217.80 (define @t328 () (_ @t142 @t327 @t158)) % 217.53/217.80 (define @t329 () (not @t328)) % 217.53/217.80 (define @t330 () (_ @t136 @t325 @t159)) % 217.53/217.80 (define @t331 () (not @t330)) % 217.53/217.80 (define @t332 () (_ @t136 @t327 @t325)) % 217.53/217.80 (define @t333 () (not @t332)) % 217.53/217.80 (define @t334 () (or @t333 @t331 @t329 @t326)) % 217.53/217.80 (define @t335 () (not @t334)) % 217.53/217.80 (define @t336 () (not @t160)) % 217.53/217.80 (define @t337 () (_ @t279 @t161 @t327 @t325)) % 217.53/217.80 (define @t338 () (not @t337)) % 217.53/217.80 (define @t339 () (_ @t138 @t325 @t164)) % 217.53/217.80 (define @t340 () (not @t339)) % 217.53/217.80 (define @t341 () (_ @t138 @t327 @t164)) % 217.53/217.80 (define @t342 () (not @t341)) % 217.53/217.80 (define @t343 () (or @t342 @t329 @t340 @t338 @t326)) % 217.53/217.80 (define @t344 () (_ @t137 @t159)) % 217.53/217.80 (define @t345 () (_ @t138 @t325 @t344)) % 217.53/217.80 (define @t346 () (= @t345 @t330)) % 217.53/217.80 (define @t347 () (= @t330 @t345)) % 217.53/217.80 (define @t348 () (@var "b_C" it_10_$$unsorted)) % 217.53/217.80 (define @t349 () (@var "b_A" it_10_$$unsorted)) % 217.53/217.80 (define @t350 () (@var "b_B" it_10_$$unsorted)) % 217.53/217.80 (define @t351 () (not @t130)) % 217.53/217.80 (define @t352 () (not @t8)) % 217.53/217.80 (define @t353 () (or @t352 @t351 @t129)) % 217.53/217.80 (define @t354 () (or @t329 @t166 @t341)) % 217.53/217.80 (define @t355 () (@var "b_A" it_10_$$unsorted)) % 217.53/217.80 (define @t356 () (forall (@list @t355) (= (_ @t137 @t355) (_ @t150 (_ @t147 @t355))))) % 217.53/217.80 (define @t357 () (= @t344 @t164)) % 217.53/217.80 (define @t358 () (= @t164 @t344)) % 217.53/217.80 (define @t359 () (and @t345 @t358)) % 217.53/217.80 (define @t360 () (@var "b_BOUND_VARIABLE_8977" it_10_$$unsorted)) % 217.53/217.80 (define @t361 () (@var "b_B" it_10_$$unsorted)) % 217.53/217.80 (define @t362 () (@var "b_A" it_10_$$unsorted)) % 217.53/217.80 (define @t363 () (_ @t147 @t362)) % 217.53/217.80 (define @t364 () (@const 8 (-> $$unsorted it_10_$$unsorted it_10_$$unsorted Bool))) % 217.53/217.80 (define @t365 () (_ @t150 @t363)) % 217.53/217.80 (define @t366 () (forall (@list @t362 @t361 @t360) (or (not (_ @t138 @t361 @t365)) (not (_ @t138 @t360 @t365)) (= (_ @t364 @t363 @t361 @t360) (_ @t136 @t361 @t360))))) % 217.53/217.80 (define @t367 () (@var "BOUND_VARIABLE_8977" $$unsorted)) % 217.53/217.80 (define @t368 () (= (tptp.related_reflexive @t73 @t7 @t367) (tptp.subset @t7 @t367))) % 217.53/217.80 (define @t369 () (not (tptp.element @t367 @t116))) % 217.53/217.80 (define @t370 () (not @t125)) % 217.53/217.80 (define @t371 () (or @t370 @t369 @t368)) % 217.53/217.80 (define @t372 () (@list @t1 @t7 @t367)) % 217.53/217.80 (define @t373 () (or @t369 @t368)) % 217.53/217.80 (define @t374 () (or @t370 @t373)) % 217.53/217.80 (define @t375 () (forall @t372 @t374)) % 217.53/217.80 (define @t376 () (@list @t367)) % 217.53/217.80 (define @t377 () (forall @t376 @t374)) % 217.53/217.80 (define @t378 () (forall @t376 @t373)) % 217.53/217.80 (define @t379 () (or @t370 @t378)) % 217.53/217.80 (define @t380 () (forall @t63 (or (not @t123) @t122))) % 217.53/217.80 (define @t381 () (_ @t364 @t161 @t327 @t325)) % 217.53/217.80 (define @t382 () (or @t342 @t340 (= @t381 @t332))) % 217.53/217.80 (define @t383 () (= @t332 @t381)) % 217.53/217.80 (define @t384 () (or @t342 @t340 @t383)) % 217.53/217.80 (define @t385 () (@var "b_C" it_10_$$unsorted)) % 217.53/217.80 (define @t386 () (@var "b_B" it_10_$$unsorted)) % 217.53/217.80 (define @t387 () (not @t12)) % 217.53/217.80 (define @t388 () (forall (@list @t1 @t386 @t385) (or @t13 @t387 @t216 (not (_ @t138 @t386 @t280)) (not (_ @t138 @t385 @t280)) (= (_ @t364 @t1 @t386 @t385) (_ @t279 @t1 @t386 @t385))))) % 217.53/217.80 (define @t389 () (not @t107)) % 217.53/217.80 (define @t390 () (or @t13 @t387 @t216 @t389 @t286 @t106)) % 217.53/217.80 (define @t391 () (or @t218 @t387 @t216 @t389 @t286)) % 217.53/217.80 (define @t392 () (not @t266)) % 217.53/217.80 (define @t393 () (or @t267 @t392 @t272 @t342 @t340 (= @t381 @t337))) % 217.53/217.80 (define @t394 () (= @t337 @t381)) % 217.53/217.80 (define @t395 () (or @t267 @t392 @t272 @t342 @t340 @t394)) % 217.53/217.80 (define @t396 () (@list @t388)) % 217.53/217.80 (define @t397 () (@list false true)) % 217.53/217.80 (define @t398 () (@quantifiers_skolemize @t319 1)) % 217.53/217.80 (define @t399 () (@quantifiers_skolemize @t319 0)) % 217.53/217.80 (define @t400 () (_ @t142 @t398 @t158)) % 217.53/217.80 (define @t401 () (_ @t142 @t399 @t158)) % 217.53/217.80 (define @t402 () (not @t401)) % 217.53/217.80 (define @t403 () (_ @t136 @t398 @t159)) % 217.53/217.80 (define @t404 () (not @t403)) % 217.53/217.80 (define @t405 () (_ @t136 @t399 @t398)) % 217.53/217.80 (define @t406 () (not @t405)) % 217.53/217.80 (define @t407 () (or @t406 @t404 @t402 @t400)) % 217.53/217.80 (define @t408 () (not @t319)) % 217.53/217.80 (define @t409 () (@list true false)) % 217.53/217.80 (define @t410 () (_ @t279 @t161 @t399 @t398)) % 217.53/217.80 (define @t411 () (not @t410)) % 217.53/217.80 (define @t412 () (_ @t138 @t398 @t164)) % 217.53/217.80 (define @t413 () (not @t412)) % 217.53/217.80 (define @t414 () (_ @t138 @t399 @t164)) % 217.53/217.80 (define @t415 () (not @t414)) % 217.53/217.80 (define @t416 () (or @t415 @t402 @t413 @t411 @t400)) % 217.53/217.80 (define @t417 () (not @t416)) % 217.53/217.80 (define @t418 () (@list @t416)) % 217.53/217.80 (define @t419 () (_ @t364 @t161 @t399 @t398)) % 217.53/217.80 (define @t420 () (= @t419 @t405)) % 217.53/217.80 (define @t421 () (or @t415 @t413 @t420)) % 217.53/217.80 (define @t422 () (or @t267 @t392 @t272 @t415 @t413 (= @t419 @t410))) % 217.53/217.80 (define @t423 () (= @t410 @t419)) % 217.53/217.80 (define @t424 () (or @t267 @t392 @t272 @t415 @t413 @t423)) % 217.53/217.80 (define @t425 () (@list false false)) % 217.53/217.80 (define @t426 () (_ @t138 @t398 @t344)) % 217.53/217.80 (define @t427 () (and @t412 @t358)) % 217.53/217.80 (define @t428 () (= @t426 @t403)) % 217.53/217.80 (define @t429 () (not @t428)) % 217.53/217.80 (assume @p1 (forall @t6 (=> @t5 (=> @t4 (= @t1 (tptp.rel_str_of @t3 @t2)))))) % 217.53/217.80 (assume @p2 (forall @t9 (=> @t8 (not (tptp.in @t7 @t1))))) % 217.53/217.80 (assume @p3 (forall @t6 (=> @t5 (=> (and @t14 @t12 @t15) (and @t14 @t12 @t11 @t10))))) % 217.53/217.80 (assume @p4 (forall @t6 (=> @t5 (=> @t24 (and @t14 @t12 @t22 @t21 @t20 @t19 @t18 @t17 @t16))))) % 217.53/217.80 (assume @p5 (forall @t6 (=> @t5 (=> (and @t14 @t12 @t10) (and @t14 @t12 @t25))))) % 217.53/217.80 (assume @p6 (forall @t6 (=> @t5 (=> (and @t14 @t12 @t22 @t21 @t20 @t25 @t11) (and @t14 @t12 @t22 @t21 @t20 @t19 @t15 @t25 @t18 @t26))))) % 217.53/217.80 (assume @p7 (forall @t6 (=> @t5 (=> (and @t14 @t12 @t21 @t10) (and @t14 @t12 @t21 @t19))))) % 217.53/217.80 (assume @p8 (forall @t6 (=> @t5 (=> (and @t14 @t12 @t21 @t18 @t10) (and @t14 @t12 @t21 @t20 @t18))))) % 217.53/217.80 (assume @p9 (forall @t6 (=> @t28 @t27))) % 217.53/217.80 (assume @p10 (forall @t6 (=> @t5 (=> @t20 @t14)))) % 217.53/217.80 (assume @p11 (forall @t6 (=> (and @t14 @t34 @t5) (forall @t33 (=> @t32 (and @t30 @t29)))))) % 217.53/217.80 (assume @p12 (forall @t6 (=> @t5 (=> @t35 (and @t14 @t20 @t19))))) % 217.53/217.80 (assume @p13 (forall @t6 (=> @t5 (=> (and @t14 @t12 @t22 @t21 @t18 @t11 @t10) (and @t14 @t12 @t22 @t21 @t25 @t18 @t26 @t11 @t10 @t20 @t19 @t15))))) % 217.53/217.80 (assume @p14 (forall @t6 (=> @t5 (=> @t13 @t36)))) % 217.53/217.80 (assume @p15 (forall @t6 (=> @t27 (forall @t33 (=> @t39 @t37))))) % 217.53/217.80 (assume @p16 (forall @t6 (=> @t5 (=> @t19 @t14)))) % 217.53/217.80 (assume @p17 (forall @t6 (=> @t5 (=> (and @t14 @t12 @t22 @t21 @t25 @t34 @t11) (and @t14 @t12 @t22 @t21 @t20 @t19 @t15 @t25 @t18 @t26 @t34 @t11 @t10))))) % 217.53/217.80 (assume @p18 (forall @t6 (=> @t5 (=> @t41 (and @t14 @t12 @t22 @t21 @t15))))) % 217.53/217.80 (assume @p19 (forall @t6 (=> @t5 (=> @t42 @t14)))) % 217.53/217.80 (assume @p20 (forall @t6 (=> @t5 (=> (and @t14 @t40 @t12) (and @t14 @t12 @t43))))) % 217.53/217.80 (assume @p21 (forall @t6 (=> @t5 (=> @t35 (and @t14 @t26))))) % 217.53/217.80 (assume @p22 (forall @t6 (=> @t5 (=> (and @t14 @t12) (and @t14 @t42))))) % 217.53/217.80 (assume @p23 (forall @t6 (=> @t5 (=> (and @t14 @t12 @t44) (and @t14 @t12 @t11 @t43))))) % 217.53/217.80 (assume @p24 (forall @t6 (=> @t5 (=> (and @t12 @t22 @t21 @t25 @t44 @t20 @t19) (and @t14 @t12 @t22 @t21 @t25 @t18 @t26 @t11 @t10 @t42 (tptp.v1_waybel_2 @t1) (tptp.v2_waybel_2 @t1) @t20 @t19 @t15))))) % 217.53/217.80 (assume @p25 (forall @t6 (=> @t5 (=> @t26 @t45)))) % 217.53/217.80 (assume @p26 (forall @t6 (=> @t5 (=> @t41 (and @t14 @t12 @t34))))) % 217.53/217.80 (assume @p27 @t49) % 217.53/217.80 (assume @p28 (forall @t6 (=> @t5 (=> (and @t12 @t22 @t21 @t20 @t25 @t11 @t43) (and @t14 @t12 @t22 @t21 @t20 @t25 @t44))))) % 217.53/217.80 (assume @p29 (forall @t6 (=> @t5 (=> @t45 @t26)))) % 217.53/217.80 (assume @p30 (forall @t6 (=> @t5 (=> @t47 (and @t14 @t17))))) % 217.53/217.80 (assume @p31 (forall @t6 (=> @t5 (=> (and @t14 @t12 @t22 @t21 @t15 @t34) (and @t14 @t12 @t22 @t21 @t34 @t43))))) % 217.53/217.80 (assume @p32 (forall @t6 (=> @t5 (=> @t47 (and @t14 @t18))))) % 217.53/217.80 (assume @p33 (forall @t6 (=> @t5 (=> @t24 (and @t14 @t12 @t22 @t21 @t20 @t19 @t25 @t18 @t26 @t17 @t50))))) % 217.53/217.80 (assume @p34 (forall @t6 (=> @t5 (=> (and @t12 @t20 @t11) (and @t14 @t12 @t20 @t18))))) % 217.53/217.80 (assume @p35 (forall @t6 (=> @t5 (=> (and @t14 @t12 @t22 @t21 @t20 @t19 @t26 @t17 @t50) (and @t14 @t12 @t22 @t21 @t20 @t19 @t25 @t18 @t26 @t17 @t50 @t23))))) % 217.53/217.80 (assume @p36 @t70) % 217.53/217.80 (assume @p37 (forall @t9 (=> @t72 (and (tptp.strict_rel_str @t71) (tptp.rel_str @t71))))) % 217.53/217.80 (assume @p38 true) % 217.53/217.80 (assume @p39 @t76) % 217.53/217.80 (assume @p40 (forall @t6 (=> @t5 @t77))) % 217.53/217.80 (assume @p41 (forall @t80 (=> @t79 (tptp.element @t53 (tptp.powerset @t78))))) % 217.53/217.80 (assume @p42 (forall @t6 (=> @t5 (tptp.relation_of2_as_subset @t2 @t3 @t3)))) % 217.53/217.80 (assume @p43 (exists @t6 @t5)) % 217.53/217.80 (assume @p44 (exists @t6 @t77)) % 217.53/217.80 (assume @p45 (forall @t9 (exists @t63 @t81))) % 217.53/217.80 (assume @p46 (forall @t6 (exists @t33 (tptp.element @t7 @t1)))) % 217.53/217.80 (assume @p47 (forall @t9 (exists @t63 @t79))) % 217.53/217.80 (assume @p48 (forall @t6 (=> (and @t42 @t5) (and (not (tptp.empty @t2)) (tptp.relation @t2))))) % 217.53/217.80 (assume @p49 (forall @t9 (=> (and @t27 @t37) (tptp.finite @t78)))) % 217.53/217.80 (assume @p50 (forall @t6 (=> @t82 (not (tptp.empty @t3))))) % 217.53/217.80 (assume @p51 (forall @t6 (not (tptp.empty @t38)))) % 217.53/217.80 (assume @p52 @t96) % 217.53/217.80 (assume @p53 @t101) % 217.53/217.80 (assume @p54 (tptp.empty tptp.empty_set)) % 217.53/217.80 (assume @p55 (forall @t6 (=> @t102 (and @t95 (not (tptp.trivial_carrier @t73)) @t75 @t94 @t93 @t92 @t88 @t87 @t86 @t85 @t84 @t100 @t83 @t99 @t98 @t97 @t91 @t90 @t89)))) % 217.53/217.80 (assume @p56 (forall @t9 (=> (and @t102 @t104) (not (tptp.empty @t78))))) % 217.53/217.80 (assume @p57 (forall @t6 (and @t95 @t75 @t94 @t93 @t92))) % 217.53/217.80 (assume @p58 (forall @t6 (and @t95 @t75 @t94 @t93 @t92 @t88 @t87 @t86 @t91 @t90 @t89))) % 217.53/217.80 (assume @p59 (forall @t6 (and @t95 @t75 @t94 @t93 @t92 @t91 @t90 @t89 @t88 @t87 @t86 @t85 @t84 @t83 @t98))) % 217.53/217.80 (assume @p60 (forall @t9 (=> @t72 (forall @t105 (=> (= @t71 (tptp.rel_str_of @t53 @t51)) (and (= @t1 @t53) (= @t7 @t51))))))) % 217.53/217.80 (assume @p61 (forall @t6 (=> (and @t14 @t12 @t22 @t5) (exists @t33 (and @t32 @t104 @t29 @t65))))) % 217.53/217.80 (assume @p62 (exists @t6 (and @t5 @t14 @t12 @t22 @t21 @t34))) % 217.53/217.80 (assume @p63 (exists @t6 (and @t5 @t14 @t4 @t12 @t22 @t21 @t20 @t19 @t15 @t25 @t18 @t26 @t11 @t10))) % 217.53/217.80 (assume @p64 (exists @t6 (and @t102 @t27))) % 217.53/217.80 (assume @p65 (exists @t6 (and @t5 @t14 @t4 @t12 @t22 @t21 @t15))) % 217.53/217.80 (assume @p66 (forall @t6 (=> @t102 (exists @t33 (and @t39 @t104))))) % 217.53/217.80 (assume @p67 (forall @t6 (=> @t5 (exists @t33 (and @t32 @t30 @t29))))) % 217.53/217.80 (assume @p68 (exists @t6 (and @t5 @t14 @t12 @t22 @t21 @t20 @t19 @t15 @t25 @t18 @t26 @t34 @t11 @t10))) % 217.53/217.80 (assume @p69 (exists @t6 (and @t5 @t14 @t4 @t12 @t22 @t21 @t25 @t18 @t26 @t11 @t10 @t20 @t19 @t15 @t17 @t43 @t44))) % 217.53/217.80 (assume @p70 (exists @t6 (and @t5 @t14 (not @t40) @t4 @t12 @t22 @t21 @t25 @t18 @t26 @t42 @t17 @t16 @t50 @t23 @t20 @t19))) % 217.53/217.80 (assume @p71 (exists @t6 @t28)) % 217.53/217.80 (assume @p72 (exists @t6 (and @t5 @t14 @t4 @t12 @t22 @t21 @t20 @t19 @t15 @t40))) % 217.53/217.80 (assume @p73 (exists @t6 (and @t5 @t14 @t4 @t12 @t22 @t21 @t42))) % 217.53/217.80 (assume @p74 (exists @t6 (and @t5 @t14 @t4 @t12 @t22 @t21 @t20 @t19 @t15))) % 217.53/217.80 (assume @p75 (forall @t6 (exists @t33 (and @t39 @t103)))) % 217.53/217.80 (assume @p76 (forall @t6 (=> (and @t14 @t12 @t5) (exists @t33 (and @t32 @t104 @t37 @t30 @t29))))) % 217.53/217.80 (assume @p77 (exists @t6 (and @t5 @t14 @t4 @t12 @t22 @t21 @t20 @t19 @t15 @t25 @t18 @t26 @t11 @t10 @t43 @t44))) % 217.53/217.80 (assume @p78 (forall @t6 (exists @t33 (and (tptp.element @t7 (tptp.powerset @t38)) @t104 @t37)))) % 217.53/217.80 (assume @p79 (exists @t6 @t102)) % 217.53/217.80 (assume @p80 (exists @t6 (and @t5 @t14 @t12 @t22 @t21 @t20 @t19 @t15 @t25 @t18 @t26))) % 217.53/217.80 (assume @p81 (forall @t6 (=> @t102 (exists @t33 (and @t39 @t104 @t37))))) % 217.53/217.80 (assume @p82 (exists @t6 (and @t77 @t14))) % 217.53/217.80 (assume @p83 (forall @t6 (=> @t77 (exists @t33 (and (tptp.element @t7 (tptp.powerset @t31)) @t104 @t37))))) % 217.53/217.80 (assume @p84 (exists @t6 (and @t5 @t14 @t4 @t12 @t22 @t21 @t20 @t19 @t25 @t18 @t26 @t17 @t16 @t50 @t23))) % 217.53/217.80 (assume @p85 (forall @t6 (=> @t82 (exists @t33 (and @t32 @t104))))) % 217.53/217.80 (assume @p86 (exists @t6 (and @t5 @t14 @t4 @t12 @t22 @t21 @t20 @t19 @t18 @t17 @t16))) % 217.53/217.80 (assume @p87 (forall @t80 (= @t79 @t81))) % 217.53/217.80 (assume @p88 @t109) % 217.53/217.80 (assume @p89 (forall @t9 (tptp.subset @t1 @t1))) % 217.53/217.80 (assume @p90 (forall @t80 (=> @t108 (tptp.related_reflexive @t1 @t7 @t7)))) % 217.53/217.80 (assume @p91 @t120) % 217.53/217.80 (assume @p92 (forall @t9 (=> @t8 @t121))) % 217.53/217.80 (assume @p93 (forall @t9 (=> @t121 (or @t103 @t8)))) % 217.53/217.80 (assume @p94 @t127) % 217.53/217.80 (assume @p95 @t128) % 217.53/217.80 (assume @p96 @t132) % 217.53/217.80 (assume @p97 @t133) % 217.53/217.80 (assume @p98 (forall @t80 (not (and @t8 @t130 (tptp.empty @t53))))) % 217.53/217.80 (assume @p99 (forall @t6 (=> @t28 (= @t1 tptp.empty_set)))) % 217.53/217.80 (assume @p100 (forall @t9 (not (and @t8 @t103)))) % 217.53/217.80 (assume @p101 (forall @t9 (not (and @t28 (not (= @t1 @t7)) @t103)))) % 217.53/217.80 ; WARNING: add trust step for TRUST % 217.53/217.80 ; trust TRUST PREPROCESS_SORT_INFER % 217.53/217.80 (step @p102 :rule trust :premises () :args ((= @t128 @t139))) % 217.53/217.80 (step @p103 :rule eq_resolve :premises (@p95 @p102)) % 217.53/217.80 ; trust TRUST PREPROCESS_SORT_INFER % 217.53/217.80 (step @p104 :rule trust :premises () :args ((= (not (forall @t9 (or (not @t117) @t156))) (not @t151)))) % 217.53/217.80 (step @p105 :rule bool-impl-elim :args (@t117 @t156)) % 217.53/217.80 (step @p106 :rule cong :premises (@p105) :args ((forall @t9 (=> @t117 @t156)))) % 217.53/217.80 (step @p107 :rule aci_norm :args ((= (or @t157 @t52) @t155))) % 217.53/217.80 (step @p108 :rule refl :args (@t52)) % 217.53/217.80 (step @p109 :rule aci_norm :args ((= (or @t154 (or @t153 @t152)) @t157))) % 217.53/217.80 (step @p110 :rule bool-and-de-morgan :args (@t110 @t55 true)) % 217.53/217.80 (step @p111 :rule refl :args (@t154)) % 217.53/217.80 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t154 (not (and @t110 @t55))))) % 217.53/217.80 (step @p113 :rule bool-and-de-morgan :args (@t111 @t110 (and @t55))) % 217.53/217.80 (step @p114 :rule trans :premises (@p113 @p112)) % 217.53/217.80 (step @p115 :rule trans :premises (@p114 @p109)) % 217.53/217.80 (step @p116 :rule nary_cong :premises (@p115 @p108) :args ((or (not @t112) @t52))) % 217.53/217.80 (step @p117 :rule trans :premises (@p116 @p107)) % 217.53/217.80 (step @p118 :rule bool-impl-elim :args (@t112 @t52)) % 217.53/217.80 (step @p119 :rule trans :premises (@p118 @p117)) % 217.53/217.80 (step @p120 :rule cong :premises (@p119) :args (@t113)) % 217.53/217.80 (step @p121 :rule refl :args (@t114)) % 217.53/217.80 (step @p122 :rule cong :premises (@p121 @p120) :args (@t115)) % 217.53/217.80 (step @p123 :rule refl :args (@t117)) % 217.53/217.80 (step @p124 :rule cong :premises (@p123 @p122) :args (@t118)) % 217.53/217.80 (step @p125 :rule cong :premises (@p124) :args (@t119)) % 217.53/217.80 (step @p126 :rule trans :premises (@p125 @p106)) % 217.53/217.80 (step @p127 :rule cong :premises (@p126) :args (@t120)) % 217.53/217.80 (step @p128 :rule trans :premises (@p127 @p104)) % 217.53/217.80 (step @p129 :rule eq_resolve :premises (@p91 @p128)) % 217.53/217.80 (step @p130 :rule skolemize :premises (@p129)) % 217.53/217.80 (step @p131 :rule cnf_or_neg :args (@t167 1)) % 217.53/217.80 (step @p132 :rule chain_m_resolution :premises (@p131 @p130) :args ((not @t163) @t168 @t169)) % 217.53/217.80 ; trust TRUST PREPROCESS_SORT_INFER % 217.53/217.80 (step @p133 :rule trust :premises () :args ((= (and (forall (@list @t197) (not (tptp.empty_carrier (tptp.boole_POSet @t197)))) (forall (@list @t196) (tptp.strict_rel_str (tptp.boole_POSet @t196))) (forall (@list @t195) (tptp.reflexive_relstr (tptp.boole_POSet @t195))) (forall (@list @t194) (tptp.transitive_relstr (tptp.boole_POSet @t194))) (forall (@list @t193) (tptp.antisymmetric_relstr (tptp.boole_POSet @t193))) (forall (@list @t192) (tptp.with_suprema_relstr (tptp.boole_POSet @t192))) (forall (@list @t191) (tptp.with_infima_relstr (tptp.boole_POSet @t191))) (forall (@list @t190) (tptp.complete_relstr (tptp.boole_POSet @t190))) (forall (@list @t189) (tptp.lower_bounded_relstr (tptp.boole_POSet @t189))) (forall (@list @t188) (tptp.upper_bounded_relstr (tptp.boole_POSet @t188))) (forall (@list @t187) (tptp.bounded_relstr (tptp.boole_POSet @t187))) (forall (@list @t186) (tptp.up_complete_relstr (tptp.boole_POSet @t186))) (forall (@list @t185) (tptp.join_complete_relstr (tptp.boole_POSet @t185))) (forall (@list @t184) (tptp.distributive_relstr (tptp.boole_POSet @t184)))) (and (forall (@list @t183) (not (tptp.empty_carrier (_ @t147 @t183)))) (forall (@list @t182) (tptp.strict_rel_str (_ @t147 @t182))) (forall (@list @t181) (tptp.reflexive_relstr (_ @t147 @t181))) (forall (@list @t180) (tptp.transitive_relstr (_ @t147 @t180))) (forall (@list @t179) (tptp.antisymmetric_relstr (_ @t147 @t179))) (forall (@list @t178) (tptp.with_suprema_relstr (_ @t147 @t178))) (forall (@list @t177) (tptp.with_infima_relstr (_ @t147 @t177))) (forall (@list @t176) (tptp.complete_relstr (_ @t147 @t176))) (forall (@list @t175) (tptp.lower_bounded_relstr (_ @t147 @t175))) (forall (@list @t174) (tptp.upper_bounded_relstr (_ @t147 @t174))) (forall (@list @t173) (tptp.bounded_relstr (_ @t147 @t173))) (forall (@list @t172) (tptp.up_complete_relstr (_ @t147 @t172))) (forall (@list @t171) (tptp.join_complete_relstr (_ @t147 @t171))) (forall (@list @t170) (tptp.distributive_relstr (_ @t147 @t170))))))) % 217.53/217.80 (step @p134 :rule alpha_equiv :args (@t198 @t199 (@list @t184))) % 217.53/217.80 (step @p135 :rule alpha_equiv :args (@t200 @t199 (@list @t185))) % 217.53/217.80 (step @p136 :rule alpha_equiv :args (@t201 @t199 (@list @t186))) % 217.53/217.80 (step @p137 :rule alpha_equiv :args (@t202 @t199 (@list @t187))) % 217.53/217.80 (step @p138 :rule alpha_equiv :args (@t203 @t199 (@list @t188))) % 217.53/217.80 (step @p139 :rule alpha_equiv :args (@t204 @t199 (@list @t189))) % 217.53/217.80 (step @p140 :rule alpha_equiv :args (@t205 @t199 (@list @t190))) % 217.53/217.80 (step @p141 :rule alpha_equiv :args (@t206 @t199 (@list @t191))) % 217.53/217.80 (step @p142 :rule alpha_equiv :args (@t207 @t199 (@list @t192))) % 217.53/217.80 (step @p143 :rule alpha_equiv :args (@t208 @t199 (@list @t193))) % 217.53/217.80 (step @p144 :rule alpha_equiv :args (@t209 @t199 (@list @t194))) % 217.53/217.80 (step @p145 :rule alpha_equiv :args (@t210 @t199 (@list @t195))) % 217.53/217.80 (step @p146 :rule alpha_equiv :args (@t211 @t199 (@list @t196))) % 217.53/217.80 (step @p147 :rule alpha_equiv :args (@t212 @t199 (@list @t197))) % 217.53/217.80 (step @p148 :rule nary_cong :premises (@p147 @p146 @p145 @p144 @p143 @p142 @p141 @p140 @p139 @p138 @p137 @p136 @p135 @p134) :args (@t213)) % 217.53/217.80 (step @p149 :rule quant-miniscope-and :args ((= @t96 @t213))) % 217.53/217.80 (step @p150 :rule trans :premises (@p149 @p148)) % 217.53/217.80 (step @p151 :rule trans :premises (@p150 @p133)) % 217.53/217.80 (step @p152 :rule eq_resolve :premises (@p52 @p151)) % 217.53/217.80 (step @p153 :rule and_elim :premises (@p152) :args (0)) % 217.53/217.80 (step @p154 :rule instantiate :premises (@p153) :args (@t214)) % 217.53/217.80 (step @p155 :rule aci_norm :args ((= (or @t216 @t217) (or @t216 @t13 @t215 @t46)))) % 217.53/217.80 (step @p156 :rule aci_norm :args ((= (or (or @t13 @t215) @t46) @t217))) % 217.53/217.80 (step @p157 :rule refl :args (@t46)) % 217.53/217.80 (step @p158 :rule refl :args (@t215)) % 217.53/217.80 (step @p159 :rule bool-double-not-elim :args (@t13)) % 217.53/217.80 (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or @t218 @t215))) % 217.53/217.80 (step @p161 :rule bool-and-de-morgan :args (@t14 @t16 true)) % 217.53/217.80 (step @p162 :rule trans :premises (@p161 @p160)) % 217.53/217.80 (step @p163 :rule nary_cong :premises (@p162 @p157) :args ((or (not @t47) @t46))) % 217.53/217.80 (step @p164 :rule trans :premises (@p163 @p156)) % 217.53/217.80 (step @p165 :rule bool-impl-elim :args (@t47 @t46)) % 217.53/217.80 (step @p166 :rule trans :premises (@p165 @p164)) % 217.53/217.80 (step @p167 :rule refl :args (@t216)) % 217.53/217.80 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t216 @t48))) % 217.53/217.80 (step @p169 :rule trans :premises (@p168 @p155)) % 217.53/217.80 (step @p170 :rule bool-impl-elim :args (@t5 @t48)) % 217.53/217.80 (step @p171 :rule trans :premises (@p170 @p169)) % 217.53/217.80 (step @p172 :rule cong :premises (@p171) :args (@t49)) % 217.53/217.80 (step @p173 :rule eq_resolve :premises (@p27 @p172)) % 217.53/217.80 (step @p174 :rule instantiate :premises (@p173) :args ((@list @t161))) % 217.53/217.80 ; trust TRUST PREPROCESS_SORT_INFER % 217.53/217.80 (step @p175 :rule trust :premises () :args ((= (and (forall (@list @t254) (not (tptp.empty_carrier (tptp.boole_POSet @t254)))) (forall (@list @t253) (tptp.strict_rel_str (tptp.boole_POSet @t253))) (forall (@list @t252) (tptp.reflexive_relstr (tptp.boole_POSet @t252))) (forall (@list @t251) (tptp.transitive_relstr (tptp.boole_POSet @t251))) (forall (@list @t250) (tptp.antisymmetric_relstr (tptp.boole_POSet @t250))) (forall (@list @t249) (tptp.lower_bounded_relstr (tptp.boole_POSet @t249))) (forall (@list @t248) (tptp.upper_bounded_relstr (tptp.boole_POSet @t248))) (forall (@list @t247) (tptp.bounded_relstr (tptp.boole_POSet @t247))) (forall (@list @t246) (tptp.up_complete_relstr (tptp.boole_POSet @t246))) (forall (@list @t245) (tptp.join_complete_relstr (tptp.boole_POSet @t245))) (forall (@list @t244) (not (tptp.v1_yellow_3 (tptp.boole_POSet @t244)))) (forall (@list @t243) (tptp.distributive_relstr (tptp.boole_POSet @t243))) (forall (@list @t242) (tptp.heyting_relstr (tptp.boole_POSet @t242))) (forall (@list @t241) (tptp.complemented_relstr (tptp.boole_POSet @t241))) (forall (@list @t240) (tptp.boolean_relstr (tptp.boole_POSet @t240))) (forall (@list @t239) (tptp.with_suprema_relstr (tptp.boole_POSet @t239))) (forall (@list @t238) (tptp.with_infima_relstr (tptp.boole_POSet @t238))) (forall (@list @t237) (tptp.complete_relstr (tptp.boole_POSet @t237)))) (and (forall (@list @t236) (not (tptp.empty_carrier (_ @t147 @t236)))) (forall (@list @t235) (tptp.strict_rel_str (_ @t147 @t235))) (forall (@list @t234) (tptp.reflexive_relstr (_ @t147 @t234))) (forall (@list @t233) (tptp.transitive_relstr (_ @t147 @t233))) (forall (@list @t232) (tptp.antisymmetric_relstr (_ @t147 @t232))) (forall (@list @t231) (tptp.lower_bounded_relstr (_ @t147 @t231))) (forall (@list @t230) (tptp.upper_bounded_relstr (_ @t147 @t230))) (forall (@list @t229) (tptp.bounded_relstr (_ @t147 @t229))) (forall (@list @t228) (tptp.up_complete_relstr (_ @t147 @t228))) (forall (@list @t227) (tptp.join_complete_relstr (_ @t147 @t227))) (forall (@list @t226) (not (tptp.v1_yellow_3 (_ @t147 @t226)))) (forall (@list @t225) (tptp.distributive_relstr (_ @t147 @t225))) (forall (@list @t224) (tptp.heyting_relstr (_ @t147 @t224))) (forall (@list @t223) (tptp.complemented_relstr (_ @t147 @t223))) (forall (@list @t222) (tptp.boolean_relstr (_ @t147 @t222))) (forall (@list @t221) (tptp.with_suprema_relstr (_ @t147 @t221))) (forall (@list @t220) (tptp.with_infima_relstr (_ @t147 @t220))) (forall (@list @t219) (tptp.complete_relstr (_ @t147 @t219))))))) % 217.53/217.80 (step @p176 :rule alpha_equiv :args (@t205 @t199 (@list @t237))) % 217.53/217.80 (step @p177 :rule alpha_equiv :args (@t206 @t199 (@list @t238))) % 217.53/217.80 (step @p178 :rule alpha_equiv :args (@t207 @t199 (@list @t239))) % 217.53/217.80 (step @p179 :rule alpha_equiv :args (@t255 @t199 (@list @t240))) % 217.53/217.80 (step @p180 :rule alpha_equiv :args (@t256 @t199 (@list @t241))) % 217.53/217.80 (step @p181 :rule alpha_equiv :args (@t257 @t199 (@list @t242))) % 217.53/217.80 (step @p182 :rule alpha_equiv :args (@t198 @t199 (@list @t243))) % 217.53/217.80 (step @p183 :rule alpha_equiv :args (@t258 @t199 (@list @t244))) % 217.53/217.80 (step @p184 :rule alpha_equiv :args (@t200 @t199 (@list @t245))) % 217.53/217.80 (step @p185 :rule alpha_equiv :args (@t201 @t199 (@list @t246))) % 217.53/217.80 (step @p186 :rule alpha_equiv :args (@t202 @t199 (@list @t247))) % 217.53/217.80 (step @p187 :rule alpha_equiv :args (@t203 @t199 (@list @t248))) % 217.53/217.80 (step @p188 :rule alpha_equiv :args (@t204 @t199 (@list @t249))) % 217.53/217.80 (step @p189 :rule alpha_equiv :args (@t208 @t199 (@list @t250))) % 217.53/217.80 (step @p190 :rule alpha_equiv :args (@t209 @t199 (@list @t251))) % 217.53/217.80 (step @p191 :rule alpha_equiv :args (@t210 @t199 (@list @t252))) % 217.53/217.80 (step @p192 :rule alpha_equiv :args (@t211 @t199 (@list @t253))) % 217.53/217.80 (step @p193 :rule alpha_equiv :args (@t212 @t199 (@list @t254))) % 217.53/217.80 (step @p194 :rule nary_cong :premises (@p193 @p192 @p191 @p190 @p189 @p188 @p187 @p186 @p185 @p184 @p183 @p182 @p181 @p180 @p179 @p178 @p177 @p176) :args (@t259)) % 217.53/217.80 (step @p195 :rule quant-miniscope-and :args ((= @t101 @t259))) % 217.53/217.80 (step @p196 :rule trans :premises (@p195 @p194)) % 217.53/217.80 (step @p197 :rule trans :premises (@p196 @p175)) % 217.53/217.80 (step @p198 :rule eq_resolve :premises (@p53 @p197)) % 217.53/217.80 (step @p199 :rule and_elim :premises (@p198) :args (12)) % 217.53/217.80 (step @p200 :rule instantiate :premises (@p199) :args (@t214)) % 217.53/217.80 ; trust TRUST PREPROCESS_SORT_INFER % 217.53/217.80 (step @p201 :rule trust :premises () :args ((= (and (forall (@list @t263) (tptp.strict_rel_str (tptp.boole_POSet @t263))) (forall (@list @t262) (tptp.rel_str (tptp.boole_POSet @t262)))) (and (forall (@list @t261) (tptp.strict_rel_str (_ @t147 @t261))) (forall (@list @t260) (tptp.rel_str (_ @t147 @t260))))))) % 217.53/217.80 (step @p202 :rule alpha_equiv :args (@t264 @t199 (@list @t262))) % 217.53/217.80 (step @p203 :rule alpha_equiv :args (@t211 @t199 (@list @t263))) % 217.53/217.80 (step @p204 :rule nary_cong :premises (@p203 @p202) :args (@t265)) % 217.53/217.80 (step @p205 :rule quant-miniscope-and :args ((= @t76 @t265))) % 217.53/217.80 (step @p206 :rule trans :premises (@p205 @p204)) % 217.53/217.80 (step @p207 :rule trans :premises (@p206 @p201)) % 217.53/217.80 (step @p208 :rule eq_resolve :premises (@p39 @p207)) % 217.53/217.80 (step @p209 :rule and_elim :premises (@p208) :args (1)) % 217.53/217.80 (step @p210 :rule instantiate :premises (@p209) :args (@t214)) % 217.53/217.80 (step @p211 :rule cnf_or_pos :args (@t273)) % 217.53/217.80 (step @p212 :rule reordering :premises (@p211) :args ((or @t272 @t267 @t270 @t268 (not @t273)))) % 217.53/217.80 (step @p213 :rule chain_m_resolution :premises (@p212 @p210 @p154 @p200 @p174) :args (@t268 @t274 (@list @t271 @t267 @t269 @t273))) % 217.53/217.80 (step @p214 :rule cnf_and_pos :args (@t268 1)) % 217.53/217.80 (step @p215 :rule reordering :premises (@p214) :args ((or @t266 (not @t268)))) % 217.53/217.80 (step @p216 :rule chain_m_resolution :premises (@p215 @p213) :args (@t266 @t275 (@list @t268))) % 217.53/217.80 (step @p217 :rule cnf_equiv_neg2 :args (@t163)) % 217.53/217.80 ; trust TRUST PREPROCESS_SORT_INFER % 217.53/217.80 (step @p218 :rule trust :premises () :args ((= (forall @t291 @t290) (forall (@list @t1 @t276) (or @t216 (not (_ @t138 @t276 (_ @t137 @t280))) (= (_ @t149 @t276 @t1) (forall @t281 (or (not (_ @t138 @t278 @t280)) (not (_ @t142 @t278 @t276)) (not (_ @t138 @t277 @t280)) (not (_ @t279 @t1 @t278 @t277)) (_ @t142 @t277 @t276))))))))) % 217.53/217.80 (step @p219 :rule aci_norm :args ((= @t293 @t290))) % 217.53/217.80 (step @p220 :rule cong :premises (@p219) :args (@t294)) % 217.53/217.80 (step @p221 :rule quant-merge-prenex :args ((= (forall @t6 @t296) @t294))) % 217.53/217.80 (step @p222 :rule alpha_equiv :args (@t297 (@list @t282) (@list @t7))) % 217.53/217.80 (step @p223 :rule nary_cong :premises (@p167 @p222) :args (@t298)) % 217.53/217.80 (step @p224 :rule quant-miniscope-or :args ((= @t296 @t298))) % 217.53/217.80 (step @p225 :rule trans :premises (@p224 @p223)) % 217.53/217.80 (step @p226 :rule symm :premises (@p225)) % 217.53/217.80 (step @p227 :rule cong :premises (@p226) :args ((forall @t6 (or @t216 @t302)))) % 217.53/217.80 (step @p228 :rule trans :premises (@p227 @p221)) % 217.53/217.80 (step @p229 :rule trans :premises (@p228 @p220)) % 217.53/217.80 (step @p230 :rule bool-impl-elim :args (@t5 @t302)) % 217.53/217.80 (step @p231 :rule cong :premises (@p230) :args ((forall @t6 (=> @t5 @t302)))) % 217.53/217.80 (step @p232 :rule trans :premises (@p231 @p229)) % 217.53/217.80 (step @p233 :rule bool-impl-elim :args (@t32 @t301)) % 217.53/217.80 (step @p234 :rule cong :premises (@p233) :args ((forall @t33 (=> @t32 @t301)))) % 217.53/217.80 (step @p235 :rule aci_norm :args ((= @t304 @t300))) % 217.53/217.80 (step @p236 :rule cong :premises (@p235) :args (@t305)) % 217.53/217.80 (step @p237 :rule quant-merge-prenex :args ((= (forall @t63 @t307) @t305))) % 217.53/217.80 (step @p238 :rule alpha_equiv :args (@t308 (@list @t283) (@list @t51))) % 217.53/217.80 (step @p239 :rule refl :args (@t152)) % 217.53/217.80 (step @p240 :rule refl :args (@t286)) % 217.53/217.80 (step @p241 :rule nary_cong :premises (@p240 @p239 @p238) :args (@t309)) % 217.53/217.80 (step @p242 :rule quant-miniscope-or :args ((= @t307 @t309))) % 217.53/217.80 (step @p243 :rule trans :premises (@p242 @p241)) % 217.53/217.80 (step @p244 :rule symm :premises (@p243)) % 217.53/217.80 (step @p245 :rule cong :premises (@p244) :args ((forall @t63 @t314))) % 217.53/217.80 (step @p246 :rule trans :premises (@p245 @p237)) % 217.53/217.80 (step @p247 :rule trans :premises (@p246 @p236)) % 217.53/217.80 (step @p248 :rule aci_norm :args ((= (or @t286 @t315) @t314))) % 217.53/217.80 (step @p249 :rule bool-impl-elim :args (@t61 @t315)) % 217.53/217.80 (step @p250 :rule trans :premises (@p249 @p248)) % 217.53/217.80 (step @p251 :rule cong :premises (@p250) :args ((forall @t63 (=> @t61 @t315)))) % 217.53/217.80 (step @p252 :rule trans :premises (@p251 @p247)) % 217.53/217.80 (step @p253 :rule quant-miniscope-or :args ((= (forall @t59 @t316) @t315))) % 217.53/217.80 (step @p254 :rule aci_norm :args ((= @t317 @t316))) % 217.53/217.80 (step @p255 :rule cong :premises (@p254) :args ((forall @t59 @t317))) % 217.53/217.80 (step @p256 :rule trans :premises (@p255 @p253)) % 217.53/217.80 (step @p257 :rule aci_norm :args ((= (or @t311 @t318) @t317))) % 217.53/217.80 (step @p258 :rule aci_norm :args ((= (or (or @t152 @t310) @t52) @t318))) % 217.53/217.80 (step @p259 :rule bool-and-de-morgan :args (@t55 @t54 true)) % 217.53/217.80 (step @p260 :rule nary_cong :premises (@p259 @p108) :args ((or (not @t56) @t52))) % 217.53/217.80 (step @p261 :rule trans :premises (@p260 @p258)) % 217.53/217.80 (step @p262 :rule bool-impl-elim :args (@t56 @t52)) % 217.53/217.80 (step @p263 :rule trans :premises (@p262 @p261)) % 217.53/217.80 (step @p264 :rule refl :args (@t311)) % 217.53/217.80 (step @p265 :rule nary_cong :premises (@p264 @p263) :args ((or @t311 @t57))) % 217.53/217.80 (step @p266 :rule trans :premises (@p265 @p257)) % 217.53/217.80 (step @p267 :rule bool-impl-elim :args (@t58 @t57)) % 217.53/217.80 (step @p268 :rule trans :premises (@p267 @p266)) % 217.53/217.80 (step @p269 :rule cong :premises (@p268) :args (@t60)) % 217.53/217.80 (step @p270 :rule trans :premises (@p269 @p256)) % 217.53/217.80 (step @p271 :rule refl :args (@t61)) % 217.53/217.80 (step @p272 :rule cong :premises (@p271 @p270) :args (@t62)) % 217.53/217.80 (step @p273 :rule cong :premises (@p272) :args (@t64)) % 217.53/217.80 (step @p274 :rule trans :premises (@p273 @p252)) % 217.53/217.80 (step @p275 :rule refl :args (@t65)) % 217.53/217.80 (step @p276 :rule cong :premises (@p275 @p274) :args (@t66)) % 217.53/217.80 (step @p277 :rule refl :args (@t32)) % 217.53/217.80 (step @p278 :rule cong :premises (@p277 @p276) :args (@t67)) % 217.53/217.80 (step @p279 :rule cong :premises (@p278) :args (@t68)) % 217.53/217.80 (step @p280 :rule trans :premises (@p279 @p234)) % 217.53/217.80 (step @p281 :rule refl :args (@t5)) % 217.53/217.80 (step @p282 :rule cong :premises (@p281 @p280) :args (@t69)) % 217.53/217.80 (step @p283 :rule cong :premises (@p282) :args (@t70)) % 217.53/217.80 (step @p284 :rule trans :premises (@p283 @p232)) % 217.53/217.80 (step @p285 :rule trans :premises (@p284 @p218)) % 217.53/217.80 (step @p286 :rule eq_resolve :premises (@p36 @p285)) % 217.53/217.80 (step @p287 :rule instantiate :premises (@p286) :args ((@list @t161 @t158))) % 217.53/217.80 (step @p288 :rule bool-double-not-elim :args (@t165)) % 217.53/217.80 (step @p289 :rule refl :args (@t167)) % 217.53/217.80 (step @p290 :rule nary_cong :premises (@p289 @p288) :args ((or @t167 (not @t166)))) % 217.53/217.80 (step @p291 :rule cnf_or_neg :args (@t167 0)) % 217.53/217.80 (step @p292 :rule eq_resolve :premises (@p291 @p290)) % 217.53/217.80 (step @p293 :rule reordering :premises (@p292) :args ((or @t165 @t167))) % 217.53/217.80 (step @p294 :rule chain_m_resolution :premises (@p293 @p130) :args (@t165 @t168 @t169)) % 217.53/217.80 (step @p295 :rule cnf_or_pos :args (@t321)) % 217.53/217.80 (step @p296 :rule reordering :premises (@p295) :args ((or @t166 @t272 @t320 (not @t321)))) % 217.53/217.80 (step @p297 :rule chain_m_resolution :premises (@p296 @p294 @p210 @p287) :args (@t320 @t322 (@list @t165 @t271 @t321))) % 217.53/217.80 (step @p298 :rule cnf_equiv_pos1 :args (@t320)) % 217.53/217.80 (step @p299 :rule reordering :premises (@p298) :args ((or @t324 @t319 @t323))) % 217.53/217.80 (step @p300 :rule refl :args (@t335)) % 217.53/217.80 (step @p301 :rule bool-double-not-elim :args (@t160)) % 217.53/217.80 (step @p302 :rule nary_cong :premises (@p301 @p300) :args ((or (not @t336) @t335))) % 217.53/217.80 (assume-push @p589 @t336) % 217.53/217.80 (step @p304 :rule skolemize :premises (@p589)) % 217.53/217.80 (step-pop @p590 :rule scope :premises (@p304)) % 217.53/217.80 (step @p305 :rule process_scope :premises (@p590) :args (@t335)) % 217.53/217.80 (step @p307 :rule implies_elim :premises (@p305)) % 217.53/217.80 (step @p308 :rule eq_resolve :premises (@p307 @p302)) % 217.53/217.80 (assume-push @p591 @t319) % 217.53/217.80 (step @p310 :rule instantiate :premises (@p591) :args ((@list @t327 @t325))) % 217.53/217.80 (step-pop @p592 :rule scope :premises (@p310)) % 217.53/217.80 (step @p311 :rule process_scope :premises (@p592) :args (@t343)) % 217.53/217.80 (step @p313 :rule implies_elim :premises (@p311)) % 217.53/217.80 (step @p314 :rule bool-double-not-elim :args (@t332)) % 217.53/217.80 (step @p315 :rule refl :args (@t334)) % 217.53/217.80 (step @p316 :rule nary_cong :premises (@p315 @p314) :args ((or @t334 (not @t333)))) % 217.53/217.80 (step @p317 :rule cnf_or_neg :args (@t334 0)) % 217.53/217.80 (step @p318 :rule eq_resolve :premises (@p317 @p316)) % 217.53/217.80 (step @p319 :rule reordering :premises (@p318) :args ((or @t332 @t334))) % 217.53/217.80 (step @p320 :rule bool-double-not-elim :args (@t330)) % 217.53/217.80 (step @p321 :rule nary_cong :premises (@p315 @p320) :args ((or @t334 (not @t331)))) % 217.53/217.80 (step @p322 :rule cnf_or_neg :args (@t334 1)) % 217.53/217.80 (step @p323 :rule eq_resolve :premises (@p322 @p321)) % 217.53/217.80 (step @p324 :rule reordering :premises (@p323) :args ((or @t330 @t334))) % 217.53/217.80 (step @p325 :rule bool-double-not-elim :args (@t328)) % 217.53/217.80 (step @p326 :rule nary_cong :premises (@p315 @p325) :args ((or @t334 (not @t329)))) % 217.53/217.80 (step @p327 :rule cnf_or_neg :args (@t334 2)) % 217.53/217.80 (step @p328 :rule eq_resolve :premises (@p327 @p326)) % 217.53/217.80 (step @p329 :rule reordering :premises (@p328) :args ((or @t328 @t334))) % 217.53/217.80 (step @p330 :rule cnf_or_neg :args (@t334 3)) % 217.53/217.80 (step @p331 :rule eq-symm :args (@t345 @t330)) % 217.53/217.80 (step @p332 :rule refl :args (@t139)) % 217.53/217.80 (step @p333 :rule cong :premises (@p332 @p331) :args ((=> @t139 @t346))) % 217.53/217.80 (assume-push @p593 @t139) % 217.53/217.80 (step @p335 :rule instantiate :premises (@p103) :args ((@list @t325 @t159))) % 217.53/217.80 (step-pop @p594 :rule scope :premises (@p335)) % 217.53/217.80 (step @p336 :rule process_scope :premises (@p594) :args (@t346)) % 217.53/217.80 (step @p338 :rule eq_resolve :premises (@p336 @p333)) % 217.53/217.80 (step @p339 :rule implies_elim :premises (@p338)) % 217.53/217.80 (step @p340 :rule chain_m_resolution :premises (@p339 @p103) :args (@t347 @t275 (@list @t139))) % 217.53/217.80 (step @p341 :rule cnf_equiv_pos1 :args (@t347)) % 217.53/217.80 (step @p342 :rule reordering :premises (@p341) :args ((or @t331 @t345 (not @t347)))) % 217.53/217.80 ; trust TRUST PREPROCESS_SORT_INFER % 217.53/217.80 (step @p343 :rule trust :premises () :args ((= (forall @t80 @t353) (forall (@list @t349 @t350 @t348) (or (not (_ @t142 @t349 @t350)) (not (_ @t138 @t350 (_ @t137 @t348))) (_ @t138 @t349 @t348)))))) % 217.53/217.80 (step @p344 :rule aci_norm :args ((= (or (or @t352 @t351) @t129) @t353))) % 217.53/217.80 (step @p345 :rule refl :args (@t129)) % 217.53/217.80 (step @p346 :rule bool-and-de-morgan :args (@t8 @t130 true)) % 217.53/217.80 (step @p347 :rule nary_cong :premises (@p346 @p345) :args ((or (not @t131) @t129))) % 217.53/217.80 (step @p348 :rule trans :premises (@p347 @p344)) % 217.53/217.80 (step @p349 :rule bool-impl-elim :args (@t131 @t129)) % 217.53/217.80 (step @p350 :rule trans :premises (@p349 @p348)) % 217.53/217.80 (step @p351 :rule cong :premises (@p350) :args (@t132)) % 217.53/217.80 (step @p352 :rule trans :premises (@p351 @p343)) % 217.53/217.80 (step @p353 :rule eq_resolve :premises (@p96 @p352)) % 217.53/217.80 (step @p354 :rule instantiate :premises (@p353) :args ((@list @t327 @t158 @t164))) % 217.53/217.80 (step @p355 :rule cnf_or_pos :args (@t354)) % 217.53/217.80 (step @p356 :rule reordering :premises (@p355) :args ((or @t166 @t329 @t341 (not @t354)))) % 217.53/217.80 ; trust TRUST PREPROCESS_SORT_INFER % 217.53/217.80 (step @p357 :rule trust :premises () :args ((= (forall @t6 (= @t38 @t116)) @t356))) % 217.53/217.80 (step @p358 :rule eq-symm :args (@t116 @t38)) % 217.53/217.80 (step @p359 :rule cong :premises (@p358) :args (@t133)) % 217.53/217.80 (step @p360 :rule trans :premises (@p359 @p357)) % 217.53/217.80 (step @p361 :rule eq_resolve :premises (@p97 @p360)) % 217.53/217.80 (step @p362 :rule eq-symm :args (@t344 @t164)) % 217.53/217.80 (step @p363 :rule refl :args (@t356)) % 217.53/217.80 (step @p364 :rule cong :premises (@p363 @p362) :args ((=> @t356 @t357))) % 217.53/217.80 (assume-push @p595 @t356) % 217.53/217.80 (step @p366 :rule instantiate :premises (@p361) :args (@t214)) % 217.53/217.80 (step-pop @p596 :rule scope :premises (@p366)) % 217.53/217.80 (step @p367 :rule process_scope :premises (@p596) :args (@t357)) % 217.53/217.80 (step @p369 :rule eq_resolve :premises (@p367 @p364)) % 217.53/217.80 (step @p370 :rule implies_elim :premises (@p369)) % 217.53/217.80 (step @p371 :rule chain_m_resolution :premises (@p370 @p361) :args (@t358 @t275 (@list @t356))) % 217.53/217.80 (assume-push @p597 @t345) % 217.53/217.80 (assume-push @p598 @t358) % 217.53/217.80 (assume-push @p599 @t345) % 217.53/217.80 (assume-push @p600 @t358) % 217.53/217.80 (step @p376 :rule true_intro :premises (@p597)) % 217.53/217.80 (step @p377 :rule refl :args (@t325)) % 217.53/217.80 (step @p378 :rule cong :premises (@p377 @p371) :args (@t339)) % 217.53/217.80 (step @p379 :rule trans :premises (@p378 @p376)) % 217.53/217.80 (step @p380 :rule true_elim :premises (@p379)) % 217.53/217.80 (step-pop @p601 :rule scope :premises (@p380)) % 217.53/217.80 (step-pop @p602 :rule scope :premises (@p601)) % 217.53/217.80 (step @p381 :rule process_scope :premises (@p602) :args (@t339)) % 217.53/217.80 (step @p384 :rule and_intro :premises (@p597 @p371)) % 217.53/217.80 (step @p385 :rule modus_ponens :premises (@p384 @p381)) % 217.53/217.80 (step-pop @p603 :rule scope :premises (@p385)) % 217.53/217.80 (step-pop @p604 :rule scope :premises (@p603)) % 217.53/217.80 (step @p386 :rule process_scope :premises (@p604) :args (@t339)) % 217.53/217.80 (step @p389 :rule implies_elim :premises (@p386)) % 217.53/217.80 (step @p390 :rule cnf_and_neg :args (@t359)) % 217.53/217.80 (step @p391 :rule resolution :premises (@p390 @p389) :args (true @t359)) % 217.53/217.80 ; trust TRUST PREPROCESS_SORT_INFER % 217.53/217.80 (step @p392 :rule trust :premises () :args ((= (forall @t372 @t371) @t366))) % 217.53/217.80 (step @p393 :rule aci_norm :args ((= @t374 @t371))) % 217.53/217.80 (step @p394 :rule cong :premises (@p393) :args (@t375)) % 217.53/217.80 (step @p395 :rule quant-merge-prenex :args ((= (forall @t9 @t377) @t375))) % 217.53/217.80 (step @p396 :rule alpha_equiv :args (@t378 (@list @t367) (@list @t53))) % 217.53/217.80 (step @p397 :rule refl :args (@t370)) % 217.53/217.80 (step @p398 :rule nary_cong :premises (@p397 @p396) :args (@t379)) % 217.53/217.80 (step @p399 :rule quant-miniscope-or :args ((= @t377 @t379))) % 217.53/217.80 (step @p400 :rule trans :premises (@p399 @p398)) % 217.53/217.80 (step @p401 :rule symm :premises (@p400)) % 217.53/217.80 (step @p402 :rule cong :premises (@p401) :args ((forall @t9 (or @t370 @t380)))) % 217.53/217.80 (step @p403 :rule trans :premises (@p402 @p395)) % 217.53/217.80 (step @p404 :rule trans :premises (@p403 @p394)) % 217.53/217.80 (step @p405 :rule bool-impl-elim :args (@t125 @t380)) % 217.53/217.80 (step @p406 :rule cong :premises (@p405) :args ((forall @t9 (=> @t125 @t380)))) % 217.53/217.80 (step @p407 :rule trans :premises (@p406 @p404)) % 217.53/217.80 (step @p408 :rule bool-impl-elim :args (@t123 @t122)) % 217.53/217.80 (step @p409 :rule cong :premises (@p408) :args (@t124)) % 217.53/217.80 (step @p410 :rule refl :args (@t125)) % 217.53/217.80 (step @p411 :rule cong :premises (@p410 @p409) :args (@t126)) % 217.53/217.80 (step @p412 :rule cong :premises (@p411) :args (@t127)) % 217.53/217.80 (step @p413 :rule trans :premises (@p412 @p407)) % 217.53/217.80 (step @p414 :rule trans :premises (@p413 @p392)) % 217.53/217.80 (step @p415 :rule eq_resolve :premises (@p94 @p414)) % 217.53/217.80 (step @p416 :rule eq-symm :args (@t381 @t332)) % 217.53/217.80 (step @p417 :rule refl :args (@t340)) % 217.53/217.80 (step @p418 :rule refl :args (@t342)) % 217.53/217.80 (step @p419 :rule nary_cong :premises (@p418 @p417 @p416) :args (@t382)) % 217.53/217.80 (step @p420 :rule refl :args (@t366)) % 217.53/217.80 (step @p421 :rule cong :premises (@p420 @p419) :args ((=> @t366 @t382))) % 217.53/217.80 (assume-push @p605 @t366) % 217.53/217.80 (step @p423 :rule instantiate :premises (@p415) :args ((@list @t159 @t327 @t325))) % 217.53/217.80 (step-pop @p606 :rule scope :premises (@p423)) % 217.53/217.80 (step @p424 :rule process_scope :premises (@p606) :args (@t382)) % 217.53/217.80 (step @p426 :rule eq_resolve :premises (@p424 @p421)) % 217.53/217.80 (step @p427 :rule implies_elim :premises (@p426)) % 217.53/217.80 (step @p428 :rule chain_m_resolution :premises (@p427 @p415) :args (@t384 @t275 (@list @t366))) % 217.53/217.80 (step @p429 :rule cnf_or_pos :args (@t384)) % 217.53/217.80 (step @p430 :rule reordering :premises (@p429) :args ((or @t340 @t342 @t383 (not @t384)))) % 217.53/217.80 (step @p431 :rule cnf_or_pos :args (@t343)) % 217.53/217.80 (step @p432 :rule reordering :premises (@p431) :args ((or @t329 @t326 @t340 @t342 @t338 (not @t343)))) % 217.53/217.80 ; trust TRUST PREPROCESS_SORT_INFER % 217.53/217.80 (step @p433 :rule trust :premises () :args ((= (forall @t80 @t390) @t388))) % 217.53/217.80 (step @p434 :rule aci_norm :args ((= (or (or @t13 @t387 @t216 @t389 @t286) @t106) @t390))) % 217.53/217.80 (step @p435 :rule refl :args (@t106)) % 217.53/217.80 (step @p436 :rule refl :args (@t389)) % 217.53/217.80 (step @p437 :rule refl :args (@t387)) % 217.53/217.80 (step @p438 :rule nary_cong :premises (@p159 @p437 @p167 @p436 @p240) :args (@t391)) % 217.53/217.80 (step @p439 :rule aci_norm :args ((= (or @t218 (or @t387 (or @t216 (or @t389 @t286)))) @t391))) % 217.53/217.80 (step @p440 :rule trans :premises (@p439 @p438)) % 217.53/217.80 (step @p441 :rule bool-and-de-morgan :args (@t107 @t61 true)) % 217.53/217.80 (step @p442 :rule nary_cong :premises (@p167 @p441) :args ((or @t216 (not (and @t107 @t61))))) % 217.53/217.80 (step @p443 :rule bool-and-de-morgan :args (@t5 @t107 (and @t61))) % 217.53/217.80 (step @p444 :rule trans :premises (@p443 @p442)) % 217.53/217.80 (step @p445 :rule nary_cong :premises (@p437 @p444) :args ((or @t387 (not (and @t5 @t107 @t61))))) % 217.53/217.80 (step @p446 :rule bool-and-de-morgan :args (@t12 @t5 (and @t107 @t61))) % 217.53/217.80 (step @p447 :rule trans :premises (@p446 @p445)) % 217.53/217.80 (step @p448 :rule refl :args (@t218)) % 217.53/217.80 (step @p449 :rule nary_cong :premises (@p448 @p447) :args ((or @t218 (not (and @t12 @t5 @t107 @t61))))) % 217.53/217.80 (step @p450 :rule bool-and-de-morgan :args (@t14 @t12 (and @t5 @t107 @t61))) % 217.53/217.80 (step @p451 :rule trans :premises (@p450 @p449)) % 217.53/217.80 (step @p452 :rule trans :premises (@p451 @p440)) % 217.53/217.80 (step @p453 :rule nary_cong :premises (@p452 @p435) :args ((or (not @t108) @t106))) % 217.53/217.80 (step @p454 :rule trans :premises (@p453 @p434)) % 217.53/217.80 (step @p455 :rule bool-impl-elim :args (@t108 @t106)) % 217.53/217.80 (step @p456 :rule trans :premises (@p455 @p454)) % 217.53/217.80 (step @p457 :rule cong :premises (@p456) :args (@t109)) % 217.53/217.80 (step @p458 :rule trans :premises (@p457 @p433)) % 217.53/217.80 (step @p459 :rule eq_resolve :premises (@p88 @p458)) % 217.53/217.80 (step @p460 :rule eq-symm :args (@t381 @t337)) % 217.53/217.80 (step @p461 :rule refl :args (@t272)) % 217.53/217.80 (step @p462 :rule refl :args (@t392)) % 217.53/217.80 (step @p463 :rule refl :args (@t267)) % 217.53/217.80 (step @p464 :rule nary_cong :premises (@p463 @p462 @p461 @p418 @p417 @p460) :args (@t393)) % 217.53/217.80 (step @p465 :rule refl :args (@t388)) % 217.53/217.80 (step @p466 :rule cong :premises (@p465 @p464) :args ((=> @t388 @t393))) % 217.53/217.80 (assume-push @p607 @t388) % 217.53/217.80 (step @p468 :rule instantiate :premises (@p459) :args ((@list @t161 @t327 @t325))) % 217.53/217.80 (step-pop @p608 :rule scope :premises (@p468)) % 217.53/217.80 (step @p469 :rule process_scope :premises (@p608) :args (@t393)) % 217.53/217.80 (step @p471 :rule eq_resolve :premises (@p469 @p466)) % 217.53/217.80 (step @p472 :rule implies_elim :premises (@p471)) % 217.53/217.80 (step @p473 :rule chain_m_resolution :premises (@p472 @p459) :args (@t395 @t275 @t396)) % 217.53/217.80 (step @p474 :rule cnf_or_pos :args (@t395)) % 217.53/217.80 (step @p475 :rule reordering :premises (@p474) :args ((or @t272 @t267 @t392 @t340 @t342 @t394 (not @t395)))) % 217.53/217.80 (step @p476 :rule cnf_equiv_pos1 :args (@t383)) % 217.53/217.80 (step @p477 :rule reordering :premises (@p476) :args ((or @t333 @t381 (not @t383)))) % 217.53/217.80 (step @p478 :rule cnf_equiv_pos2 :args (@t394)) % 217.53/217.80 (step @p479 :rule reordering :premises (@p478) :args ((or @t337 (not @t381) (not @t394)))) % 217.53/217.80 (step @p480 :rule chain_m_resolution :premises (@p479 @p477 @p475 @p473 @p210 @p432 @p430 @p428 @p391 @p371 @p356 @p354 @p294 @p342 @p340 @p330 @p329 @p324 @p319 @p313 @p308 @p299 @p297 @p217 @p132) :args ((or @t324 @t267 @t392) (@list false false false false true false false false false false false false false false true false false false false true false false true true) (@list @t381 @t394 @t395 @t271 @t337 @t383 @t384 @t339 @t358 @t341 @t354 @t165 @t345 @t347 @t326 @t328 @t330 @t332 @t343 @t334 @t319 @t320 @t160 @t163))) % 217.53/217.80 (step @p481 :rule chain_m_resolution :premises (@p480 @p216 @p154) :args (@t324 @t397 (@list @t266 @t267))) % 217.53/217.80 (step @p482 :rule cnf_equiv_neg1 :args (@t163)) % 217.53/217.80 (step @p483 :rule reordering :premises (@p482) :args ((or @t162 @t160 @t163))) % 217.53/217.80 (step @p484 :rule chain_m_resolution :premises (@p483 @p481 @p132) :args (@t160 (@list true true) (@list @t162 @t163))) % 217.53/217.80 (assume-push @p609 @t160) % 217.53/217.80 (step @p486 :rule instantiate :premises (@p609) :args ((@list @t399 @t398))) % 217.53/217.80 (step-pop @p610 :rule scope :premises (@p486)) % 217.53/217.80 (step @p487 :rule process_scope :premises (@p610) :args (@t407)) % 217.53/217.80 (step @p489 :rule implies_elim :premises (@p487)) % 217.53/217.80 (step @p490 :rule chain_m_resolution :premises (@p489 @p484) :args (@t407 @t275 (@list @t160))) % 217.53/217.80 (step @p491 :rule instantiate :premises (@p415) :args ((@list @t159 @t399 @t398))) % 217.53/217.80 (step @p492 :rule cnf_equiv_pos2 :args (@t320)) % 217.53/217.80 (step @p493 :rule reordering :premises (@p492) :args ((or @t162 @t408 @t323))) % 217.53/217.80 (step @p494 :rule chain_m_resolution :premises (@p493 @p481 @p297) :args (@t408 @t409 (@list @t162 @t320))) % 217.53/217.80 (step @p495 :rule refl :args (@t417)) % 217.53/217.80 (step @p496 :rule bool-double-not-elim :args (@t319)) % 217.53/217.80 (step @p497 :rule nary_cong :premises (@p496 @p495) :args ((or (not @t408) @t417))) % 217.53/217.80 (assume-push @p611 @t408) % 217.53/217.80 (step @p499 :rule skolemize :premises (@p611)) % 217.53/217.80 (step-pop @p612 :rule scope :premises (@p499)) % 217.53/217.80 (step @p500 :rule process_scope :premises (@p612) :args (@t417)) % 217.53/217.80 (step @p502 :rule implies_elim :premises (@p500)) % 217.53/217.80 (step @p503 :rule eq_resolve :premises (@p502 @p497)) % 217.53/217.80 (step @p504 :rule chain_m_resolution :premises (@p503 @p494) :args (@t417 @t168 (@list @t319))) % 217.53/217.80 (step @p505 :rule bool-double-not-elim :args (@t412)) % 217.53/217.80 (step @p506 :rule refl :args (@t416)) % 217.53/217.80 (step @p507 :rule nary_cong :premises (@p506 @p505) :args ((or @t416 (not @t413)))) % 217.53/217.80 (step @p508 :rule cnf_or_neg :args (@t416 2)) % 217.53/217.80 (step @p509 :rule eq_resolve :premises (@p508 @p507)) % 217.53/217.80 (step @p510 :rule reordering :premises (@p509) :args ((or @t412 @t416))) % 217.53/217.80 (step @p511 :rule chain_m_resolution :premises (@p510 @p504) :args (@t412 @t168 @t418)) % 217.53/217.80 (step @p512 :rule bool-double-not-elim :args (@t414)) % 217.53/217.80 (step @p513 :rule nary_cong :premises (@p506 @p512) :args ((or @t416 (not @t415)))) % 217.53/217.80 (step @p514 :rule cnf_or_neg :args (@t416 0)) % 217.53/217.80 (step @p515 :rule eq_resolve :premises (@p514 @p513)) % 217.53/217.80 (step @p516 :rule reordering :premises (@p515) :args ((or @t414 @t416))) % 217.53/217.80 (step @p517 :rule chain_m_resolution :premises (@p516 @p504) :args (@t414 @t168 @t418)) % 217.53/217.80 (step @p518 :rule cnf_or_pos :args (@t421)) % 217.53/217.80 (step @p519 :rule reordering :premises (@p518) :args ((or @t415 @t413 @t420 (not @t421)))) % 217.53/217.80 (step @p520 :rule chain_m_resolution :premises (@p519 @p517 @p511 @p491) :args (@t420 @t322 (@list @t414 @t412 @t421))) % 217.53/217.80 (step @p521 :rule eq-symm :args (@t419 @t410)) % 217.53/217.80 (step @p522 :rule refl :args (@t413)) % 217.53/217.80 (step @p523 :rule refl :args (@t415)) % 217.53/217.80 (step @p524 :rule nary_cong :premises (@p463 @p462 @p461 @p523 @p522 @p521) :args (@t422)) % 217.53/217.80 (step @p525 :rule cong :premises (@p465 @p524) :args ((=> @t388 @t422))) % 217.53/217.80 (assume-push @p613 @t388) % 217.53/217.80 (step @p527 :rule instantiate :premises (@p459) :args ((@list @t161 @t399 @t398))) % 217.53/217.80 (step-pop @p614 :rule scope :premises (@p527)) % 217.53/217.80 (step @p528 :rule process_scope :premises (@p614) :args (@t422)) % 217.53/217.80 (step @p530 :rule eq_resolve :premises (@p528 @p525)) % 217.53/217.80 (step @p531 :rule implies_elim :premises (@p530)) % 217.53/217.80 (step @p532 :rule chain_m_resolution :premises (@p531 @p459) :args (@t424 @t275 @t396)) % 217.53/217.80 (step @p533 :rule cnf_or_pos :args (@t424)) % 217.53/217.80 (step @p534 :rule reordering :premises (@p533) :args ((or @t272 @t267 @t392 @t415 @t413 @t423 (not @t424)))) % 217.53/217.80 (step @p535 :rule chain_m_resolution :premises (@p534 @p210 @p154 @p216 @p517 @p511 @p532) :args (@t423 (@list false true false false false false) (@list @t271 @t267 @t266 @t414 @t412 @t424))) % 217.53/217.80 (step @p536 :rule bool-double-not-elim :args (@t410)) % 217.53/217.80 (step @p537 :rule nary_cong :premises (@p506 @p536) :args ((or @t416 (not @t411)))) % 217.53/217.80 (step @p538 :rule cnf_or_neg :args (@t416 3)) % 217.53/217.80 (step @p539 :rule eq_resolve :premises (@p538 @p537)) % 217.53/217.80 (step @p540 :rule reordering :premises (@p539) :args ((or @t410 @t416))) % 217.53/217.80 (step @p541 :rule chain_m_resolution :premises (@p540 @p504) :args (@t410 @t168 @t418)) % 217.53/217.80 (step @p542 :rule cnf_equiv_pos1 :args (@t423)) % 217.53/217.80 (step @p543 :rule reordering :premises (@p542) :args ((or @t411 @t419 (not @t423)))) % 217.53/217.80 (step @p544 :rule chain_m_resolution :premises (@p543 @p541 @p535) :args (@t419 @t425 (@list @t410 @t423))) % 217.53/217.80 (step @p545 :rule cnf_equiv_pos1 :args (@t420)) % 217.53/217.80 (step @p546 :rule reordering :premises (@p545) :args ((or (not @t419) @t405 (not @t420)))) % 217.53/217.80 (step @p547 :rule chain_m_resolution :premises (@p546 @p544 @p520) :args (@t405 @t425 (@list @t419 @t420))) % 217.53/217.80 (step @p548 :rule cnf_or_neg :args (@t416 4)) % 217.53/217.80 (step @p549 :rule chain_m_resolution :premises (@p548 @p504) :args ((not @t400) @t168 @t418)) % 217.53/217.80 (step @p550 :rule bool-double-not-elim :args (@t401)) % 217.53/217.80 (step @p551 :rule nary_cong :premises (@p506 @p550) :args ((or @t416 (not @t402)))) % 217.53/217.80 (step @p552 :rule cnf_or_neg :args (@t416 1)) % 217.53/217.80 (step @p553 :rule eq_resolve :premises (@p552 @p551)) % 217.53/217.80 (step @p554 :rule reordering :premises (@p553) :args ((or @t401 @t416))) % 217.53/217.80 (step @p555 :rule chain_m_resolution :premises (@p554 @p504) :args (@t401 @t168 @t418)) % 217.53/217.80 (step @p556 :rule cnf_or_pos :args (@t407)) % 217.53/217.80 (step @p557 :rule reordering :premises (@p556) :args ((or @t402 @t400 @t406 @t404 (not @t407)))) % 217.53/217.80 (step @p558 :rule chain_m_resolution :premises (@p557 @p555 @p549 @p547 @p490) :args (@t404 @t274 (@list @t401 @t400 @t405 @t407))) % 217.53/217.80 (assume-push @p615 @t412) % 217.53/217.80 (assume-push @p616 @t358) % 217.53/217.80 (assume-push @p617 @t412) % 217.53/217.82 (assume-push @p618 @t358) % 217.53/217.82 (step @p563 :rule true_intro :premises (@p615)) % 217.53/217.82 (step @p366 :rule instantiate :premises (@p361) :args (@t214)) % 217.53/217.82 (step @p564 :rule refl :args (@t398)) % 217.53/217.82 (step @p565 :rule cong :premises (@p564 @p366) :args (@t426)) % 217.53/217.82 (step @p566 :rule trans :premises (@p565 @p563)) % 217.53/217.82 (step @p567 :rule true_elim :premises (@p566)) % 217.53/217.82 (step-pop @p619 :rule scope :premises (@p567)) % 217.53/217.82 (step-pop @p620 :rule scope :premises (@p619)) % 217.53/217.82 (step @p568 :rule process_scope :premises (@p620) :args (@t426)) % 217.53/217.82 (step @p571 :rule and_intro :premises (@p615 @p371)) % 217.53/217.82 (step @p572 :rule modus_ponens :premises (@p571 @p568)) % 217.53/217.82 (step-pop @p621 :rule scope :premises (@p572)) % 217.53/217.82 (step-pop @p622 :rule scope :premises (@p621)) % 217.53/217.82 (step @p573 :rule process_scope :premises (@p622) :args (@t426)) % 217.53/217.82 (step @p576 :rule implies_elim :premises (@p573)) % 217.53/217.82 (step @p577 :rule cnf_and_neg :args (@t427)) % 217.53/217.82 (step @p578 :rule resolution :premises (@p577 @p576) :args (true @t427)) % 217.53/217.82 (step @p579 :rule chain_m_resolution :premises (@p578 @p511 @p371) :args (@t426 @t425 (@list @t412 @t358))) % 217.53/217.82 (step @p580 :rule cnf_equiv_pos1 :args (@t428)) % 217.53/217.82 (step @p581 :rule reordering :premises (@p580) :args ((or (not @t426) @t403 @t429))) % 217.53/217.82 (step @p582 :rule chain_m_resolution :premises (@p581 @p579 @p558) :args (@t429 @t397 (@list @t426 @t403))) % 217.53/217.82 (assume-push @p623 @t139) % 217.53/217.82 (step @p584 :rule instantiate :premises (@p103) :args ((@list @t398 @t159))) % 217.53/217.82 (step-pop @p624 :rule scope :premises (@p584)) % 217.53/217.82 (step @p585 :rule process_scope :premises (@p624) :args (@t428)) % 217.53/217.82 (step @p587 :rule implies_elim :premises (@p585)) % 217.53/217.82 (step @p588 false :rule chain_m_resolution :premises (@p587 @p582 @p103) :args (false @t409 (@list @t428 @t139))) % 217.53/217.82 ) % 217.53/217.82 % SZS output end Proof % 217.53/217.82 % cvc5 exiting %------------------------------------------------------------------------------