%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT314+1 : TPTP v9.2.1. Released v3.4.0. % 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 08:30:16 AM UTC 2026 % Result : Theorem 11.43s 11.60s % Output : Proof 11.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT314+1 : TPTP v9.2.1. Released v3.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 06:23:52 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 11.43/11.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 11.43/11.60 % SZS status Theorem % 11.43/11.60 % SZS output start Proof % 11.43/11.60 ( % 11.43/11.60 (declare-sort $$unsorted 0) % 11.43/11.60 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 11.43/11.60 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 11.43/11.60 (declare-const tptp.v1_realset1 (-> $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.k2_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 11.43/11.60 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted)) % 11.43/11.60 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 11.43/11.60 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.k1_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 11.43/11.60 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.k2_tarski (-> $$unsorted $$unsorted $$unsorted)) % 11.43/11.60 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.r1_filter_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.k3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 11.43/11.60 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 11.43/11.60 (declare-const tptp.k20_filter_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 11.43/11.60 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.a_3_0_filter_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 11.43/11.60 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 11.43/11.60 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.k1_xboole_0 $$unsorted) % 11.43/11.60 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 11.43/11.60 (declare-const tptp.k1_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 11.43/11.60 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 11.43/11.60 (define @t1 () (@var "B" $$unsorted)) % 11.43/11.60 (define @t2 () (@var "C" $$unsorted)) % 11.43/11.60 (define @t3 () (@var "A" $$unsorted)) % 11.43/11.60 (define @t4 () (tptp.k20_filter_2 @t3 @t1 @t2)) % 11.43/11.60 (define @t5 () (tptp.u1_struct_0 @t3)) % 11.43/11.60 (define @t6 () (tptp.r1_filter_2 @t5 @t4 (tptp.k20_filter_2 @t3 @t2 @t1))) % 11.43/11.60 (define @t7 () (tptp.k1_zfmisc_1 @t5)) % 11.43/11.60 (define @t8 () (tptp.m1_subset_1 @t2 @t7)) % 11.43/11.60 (define @t9 () (tptp.v1_xboole_0 @t2)) % 11.43/11.60 (define @t10 () (not @t9)) % 11.43/11.60 (define @t11 () (and @t10 @t8)) % 11.43/11.60 (define @t12 () (@list @t2)) % 11.43/11.60 (define @t13 () (forall @t12 (=> @t11 @t6))) % 11.43/11.60 (define @t14 () (tptp.m1_subset_1 @t1 @t7)) % 11.43/11.60 (define @t15 () (tptp.v1_xboole_0 @t1)) % 11.43/11.60 (define @t16 () (not @t15)) % 11.43/11.60 (define @t17 () (and @t16 @t14)) % 11.43/11.60 (define @t18 () (=> @t17 @t13)) % 11.43/11.60 (define @t19 () (@list @t1)) % 11.43/11.60 (define @t20 () (forall @t19 @t18)) % 11.43/11.60 (define @t21 () (tptp.l3_lattices @t3)) % 11.43/11.60 (define @t22 () (tptp.v10_lattices @t3)) % 11.43/11.60 (define @t23 () (tptp.v3_struct_0 @t3)) % 11.43/11.60 (define @t24 () (not @t23)) % 11.43/11.60 (define @t25 () (and @t24 @t22 @t21)) % 11.43/11.60 (define @t26 () (=> @t25 @t20)) % 11.43/11.60 (define @t27 () (@list @t3)) % 11.43/11.60 (define @t28 () (forall @t27 @t26)) % 11.43/11.60 (define @t29 () (not @t28)) % 11.43/11.60 (define @t30 () (tptp.r2_hidden @t3 @t1)) % 11.43/11.60 (define @t31 () (@list @t3 @t1)) % 11.43/11.60 (define @t32 () (tptp.v1_funct_1 @t3)) % 11.43/11.60 (define @t33 () (tptp.v1_xboole_0 @t3)) % 11.43/11.60 (define @t34 () (tptp.v5_lattices @t3)) % 11.43/11.60 (define @t35 () (tptp.v4_lattices @t3)) % 11.43/11.60 (define @t36 () (and @t24 @t35 @t34 (tptp.v6_lattices @t3) (tptp.v7_lattices @t3) (tptp.v8_lattices @t3) (tptp.v9_lattices @t3))) % 11.43/11.60 (define @t37 () (and @t24 @t22)) % 11.43/11.60 (define @t38 () (=> @t37 @t36)) % 11.43/11.60 (define @t39 () (forall @t27 (=> @t21 @t38))) % 11.43/11.60 (define @t40 () (not @t33)) % 11.43/11.60 (define @t41 () (tptp.v1_realset1 @t3)) % 11.43/11.60 (define @t42 () (not @t41)) % 11.43/11.60 (define @t43 () (tptp.k2_zfmisc_1 @t3 @t1)) % 11.43/11.60 (define @t44 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t43))) % 11.43/11.60 (define @t45 () (@list @t3 @t1 @t2)) % 11.43/11.60 (define @t46 () (tptp.v1_relat_1 @t3)) % 11.43/11.60 (define @t47 () (and @t46 @t32 (tptp.v2_funct_1 @t3))) % 11.43/11.60 (define @t48 () (and @t46 @t33 @t32)) % 11.43/11.60 (define @t49 () (tptp.k2_tarski @t3 @t1)) % 11.43/11.60 (define @t50 () (tptp.k3_lattices @t3 @t1 @t2)) % 11.43/11.60 (define @t51 () (= @t50 (tptp.k3_lattices @t3 @t2 @t1))) % 11.43/11.60 (define @t52 () (tptp.m1_subset_1 @t2 @t5)) % 11.43/11.60 (define @t53 () (tptp.m1_subset_1 @t1 @t5)) % 11.43/11.60 (define @t54 () (tptp.l2_lattices @t3)) % 11.43/11.60 (define @t55 () (and @t24 @t35 @t54 @t53 @t52)) % 11.43/11.60 (define @t56 () (forall @t45 (=> @t55 @t51))) % 11.43/11.60 (define @t57 () (= @t4 (tptp.a_3_0_filter_2 @t3 @t1 @t2))) % 11.43/11.60 (define @t58 () (forall @t12 (=> @t11 @t57))) % 11.43/11.60 (define @t59 () (=> @t17 @t58)) % 11.43/11.60 (define @t60 () (forall @t19 @t59)) % 11.43/11.60 (define @t61 () (=> @t25 @t60)) % 11.43/11.60 (define @t62 () (forall @t27 @t61)) % 11.43/11.60 (define @t63 () (and @t46 @t32)) % 11.43/11.60 (define @t64 () (@var "D" $$unsorted)) % 11.43/11.60 (define @t65 () (tptp.r2_hidden @t64 @t1)) % 11.43/11.60 (define @t66 () (= @t65 (tptp.r2_hidden @t64 @t2))) % 11.43/11.60 (define @t67 () (tptp.m1_subset_1 @t64 @t3)) % 11.43/11.60 (define @t68 () (@list @t64)) % 11.43/11.60 (define @t69 () (forall @t68 (=> @t67 @t66))) % 11.43/11.60 (define @t70 () (tptp.r1_filter_2 @t3 @t1 @t2)) % 11.43/11.60 (define @t71 () (= @t70 @t69)) % 11.43/11.60 (define @t72 () (tptp.k1_zfmisc_1 @t3)) % 11.43/11.60 (define @t73 () (tptp.m1_subset_1 @t2 @t72)) % 11.43/11.60 (define @t74 () (=> @t73 @t71)) % 11.43/11.60 (define @t75 () (forall @t12 @t74)) % 11.43/11.60 (define @t76 () (tptp.m1_subset_1 @t1 @t72)) % 11.43/11.60 (define @t77 () (=> @t76 @t75)) % 11.43/11.60 (define @t78 () (forall @t19 @t77)) % 11.43/11.60 (define @t79 () (=> @t40 @t78)) % 11.43/11.60 (define @t80 () (forall @t27 @t79)) % 11.43/11.60 (define @t81 () (tptp.u2_lattices @t3)) % 11.43/11.60 (define @t82 () (tptp.k1_lattices @t3 @t1 @t2)) % 11.43/11.60 (define @t83 () (tptp.k1_tarski @t3)) % 11.43/11.60 (define @t84 () (tptp.m1_subset_1 @t4 @t7)) % 11.43/11.60 (define @t85 () (and @t24 @t22 @t21 @t16 @t14 @t10 @t8)) % 11.43/11.60 (define @t86 () (forall @t45 (=> @t85 @t84))) % 11.43/11.60 (define @t87 () (@var "F" $$unsorted)) % 11.43/11.60 (define @t88 () (@var "E" $$unsorted)) % 11.43/11.60 (define @t89 () (tptp.k2_binop_1 @t3 @t1 @t2 @t64 @t88 @t87)) % 11.43/11.60 (define @t90 () (and @t40 @t16 (tptp.v1_funct_1 @t64) (tptp.v1_funct_2 @t64 @t43 @t2) (tptp.m1_relset_1 @t64 @t43 @t2) (tptp.m1_subset_1 @t88 @t3) (tptp.m1_subset_1 @t87 @t1))) % 11.43/11.60 (define @t91 () (@list @t3 @t1 @t2 @t64 @t88 @t87)) % 11.43/11.60 (define @t92 () (tptp.l1_struct_0 @t3)) % 11.43/11.60 (define @t93 () (tptp.l1_lattices @t3)) % 11.43/11.60 (define @t94 () (forall @t27 (=> @t93 @t92))) % 11.43/11.60 (define @t95 () (and @t93 @t54)) % 11.43/11.60 (define @t96 () (forall @t27 (=> @t21 @t95))) % 11.43/11.60 (define @t97 () (tptp.m2_relset_1 @t2 @t3 @t1)) % 11.43/11.60 (define @t98 () (tptp.k2_zfmisc_1 @t5 @t5)) % 11.43/11.60 (define @t99 () (tptp.v1_funct_2 @t81 @t98 @t5)) % 11.43/11.60 (define @t100 () (tptp.v1_funct_1 @t81)) % 11.43/11.60 (define @t101 () (tptp.m1_relset_1 @t2 @t3 @t1)) % 11.43/11.60 (define @t102 () (not (tptp.v1_xboole_0 @t5))) % 11.43/11.60 (define @t103 () (and @t24 @t92)) % 11.43/11.60 (define @t104 () (forall @t27 (=> @t103 @t102))) % 11.43/11.60 (define @t105 () (tptp.v1_partfun1 @t81 @t98 @t5)) % 11.43/11.60 (define @t106 () (tptp.v1_relat_1 @t81)) % 11.43/11.60 (define @t107 () (not (tptp.v1_xboole_0 @t83))) % 11.43/11.60 (define @t108 () (tptp.r2_hidden @t87 @t64)) % 11.43/11.60 (define @t109 () (tptp.r2_hidden @t88 @t2)) % 11.43/11.60 (define @t110 () (= @t3 (tptp.k3_lattices @t1 @t88 @t87))) % 11.43/11.60 (define @t111 () (tptp.u1_struct_0 @t1)) % 11.43/11.60 (define @t112 () (tptp.m1_subset_1 @t87 @t111)) % 11.43/11.60 (define @t113 () (tptp.m1_subset_1 @t88 @t111)) % 11.43/11.60 (define @t114 () (and @t113 @t112 @t110 @t109 @t108)) % 11.43/11.60 (define @t115 () (@list @t88 @t87)) % 11.43/11.60 (define @t116 () (exists @t115 @t114)) % 11.43/11.60 (define @t117 () (tptp.r2_hidden @t3 (tptp.a_3_0_filter_2 @t1 @t2 @t64))) % 11.43/11.60 (define @t118 () (= @t117 @t116)) % 11.43/11.60 (define @t119 () (tptp.k1_zfmisc_1 @t111)) % 11.43/11.60 (define @t120 () (tptp.m1_subset_1 @t64 @t119)) % 11.43/11.60 (define @t121 () (tptp.v1_xboole_0 @t64)) % 11.43/11.60 (define @t122 () (not @t121)) % 11.43/11.60 (define @t123 () (tptp.m1_subset_1 @t2 @t119)) % 11.43/11.60 (define @t124 () (tptp.l3_lattices @t1)) % 11.43/11.60 (define @t125 () (tptp.v10_lattices @t1)) % 11.43/11.60 (define @t126 () (tptp.v3_struct_0 @t1)) % 11.43/11.60 (define @t127 () (not @t126)) % 11.43/11.60 (define @t128 () (and @t127 @t125 @t124 @t10 @t123 @t122 @t120)) % 11.43/11.60 (define @t129 () (=> @t128 @t118)) % 11.43/11.60 (define @t130 () (@list @t3 @t1 @t2 @t64)) % 11.43/11.60 (define @t131 () (forall @t130 @t129)) % 11.43/11.60 (define @t132 () (and @t40 @t76 @t73)) % 11.43/11.60 (define @t133 () (tptp.m1_subset_1 @t3 @t1)) % 11.43/11.60 (define @t134 () (= @t3 @t1)) % 11.43/11.60 (define @t135 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t2))) % 11.43/11.60 (define @t136 () (not @t52)) % 11.43/11.60 (define @t137 () (not @t53)) % 11.43/11.60 (define @t138 () (not @t54)) % 11.43/11.60 (define @t139 () (not @t35)) % 11.43/11.60 (define @t140 () (not @t24)) % 11.43/11.60 (define @t141 () (or @t140 @t139 @t138 @t137 @t136)) % 11.43/11.60 (define @t142 () (@var "BOUND_VARIABLE_7832" $$unsorted)) % 11.43/11.60 (define @t143 () (@var "BOUND_VARIABLE_7834" $$unsorted)) % 11.43/11.60 (define @t144 () (tptp.r1_filter_2 @t5 (tptp.k20_filter_2 @t3 @t142 @t143) (tptp.k20_filter_2 @t3 @t143 @t142))) % 11.43/11.60 (define @t145 () (not (tptp.m1_subset_1 @t143 @t7))) % 11.43/11.60 (define @t146 () (tptp.v1_xboole_0 @t143)) % 11.43/11.60 (define @t147 () (not (tptp.m1_subset_1 @t142 @t7))) % 11.43/11.60 (define @t148 () (tptp.v1_xboole_0 @t142)) % 11.43/11.60 (define @t149 () (not @t21)) % 11.43/11.60 (define @t150 () (not @t22)) % 11.43/11.60 (define @t151 () (or @t23 @t150 @t149 @t148 @t147 @t146 @t145 @t144)) % 11.43/11.60 (define @t152 () (@list @t3 @t142 @t143)) % 11.43/11.60 (define @t153 () (forall @t152 @t151)) % 11.43/11.60 (define @t154 () (@quantifiers_skolemize @t153 2)) % 11.43/11.60 (define @t155 () (@quantifiers_skolemize @t153 1)) % 11.43/11.60 (define @t156 () (@quantifiers_skolemize @t153 0)) % 11.43/11.60 (define @t157 () (tptp.k20_filter_2 @t156 @t154 @t155)) % 11.43/11.60 (define @t158 () (tptp.k20_filter_2 @t156 @t155 @t154)) % 11.43/11.60 (define @t159 () (tptp.u1_struct_0 @t156)) % 11.43/11.60 (define @t160 () (forall @t68 (or (not (tptp.m1_subset_1 @t64 @t159)) (= (tptp.r2_hidden @t64 @t158) (tptp.r2_hidden @t64 @t157))))) % 11.43/11.60 (define @t161 () (@quantifiers_skolemize @t160 0)) % 11.43/11.60 (define @t162 () (not (= @t161 (tptp.k3_lattices @t156 @t88 @t87)))) % 11.43/11.60 (define @t163 () (not (tptp.m1_subset_1 @t87 @t159))) % 11.43/11.60 (define @t164 () (not (tptp.m1_subset_1 @t88 @t159))) % 11.43/11.60 (define @t165 () (forall @t115 (or @t164 @t163 @t162 (not (tptp.r2_hidden @t88 @t155)) (not (tptp.r2_hidden @t87 @t154))))) % 11.43/11.60 (define @t166 () (@quantifiers_skolemize @t165 1)) % 11.43/11.60 (define @t167 () (@quantifiers_skolemize @t165 0)) % 11.43/11.60 (define @t168 () (not @t108)) % 11.43/11.60 (define @t169 () (not @t109)) % 11.43/11.60 (define @t170 () (not @t110)) % 11.43/11.60 (define @t171 () (not @t112)) % 11.43/11.60 (define @t172 () (not @t113)) % 11.43/11.60 (define @t173 () (or @t172 @t171 @t170 @t169 @t168)) % 11.43/11.60 (define @t174 () (= @t117 (not (forall @t115 @t173)))) % 11.43/11.60 (define @t175 () (not @t120)) % 11.43/11.60 (define @t176 () (not @t123)) % 11.43/11.60 (define @t177 () (not @t124)) % 11.43/11.60 (define @t178 () (not @t125)) % 11.43/11.60 (define @t179 () (not @t122)) % 11.43/11.60 (define @t180 () (not @t10)) % 11.43/11.60 (define @t181 () (not @t127)) % 11.43/11.60 (define @t182 () (or @t181 @t178 @t177 @t180 @t176 @t179 @t175)) % 11.43/11.60 (define @t183 () (forall @t115 (not @t114))) % 11.43/11.60 (define @t184 () (not @t183)) % 11.43/11.60 (define @t185 () (or @t148 @t147 @t146 @t145 @t144)) % 11.43/11.60 (define @t186 () (or @t23 @t150 @t149 @t185)) % 11.43/11.60 (define @t187 () (forall @t152 @t186)) % 11.43/11.60 (define @t188 () (@list @t142 @t143)) % 11.43/11.60 (define @t189 () (forall @t188 @t186)) % 11.43/11.60 (define @t190 () (forall @t188 @t185)) % 11.43/11.60 (define @t191 () (@var "BOUND_VARIABLE_7810" $$unsorted)) % 11.43/11.60 (define @t192 () (or @t23 @t150 @t149 @t190)) % 11.43/11.60 (define @t193 () (tptp.r1_filter_2 @t5 (tptp.k20_filter_2 @t3 @t1 @t191) (tptp.k20_filter_2 @t3 @t191 @t1))) % 11.43/11.60 (define @t194 () (not (tptp.m1_subset_1 @t191 @t7))) % 11.43/11.60 (define @t195 () (tptp.v1_xboole_0 @t191)) % 11.43/11.60 (define @t196 () (not @t14)) % 11.43/11.60 (define @t197 () (or @t15 @t196 @t195 @t194 @t193)) % 11.43/11.60 (define @t198 () (@list @t1 @t191)) % 11.43/11.60 (define @t199 () (forall @t198 @t197)) % 11.43/11.60 (define @t200 () (or @t23 @t150 @t149 @t199)) % 11.43/11.60 (define @t201 () (or @t23 @t150 @t149)) % 11.43/11.60 (define @t202 () (or @t140 @t150 @t149)) % 11.43/11.60 (define @t203 () (not @t25)) % 11.43/11.60 (define @t204 () (or @t195 @t194 @t193)) % 11.43/11.60 (define @t205 () (or @t15 @t196 @t204)) % 11.43/11.60 (define @t206 () (forall @t198 @t205)) % 11.43/11.60 (define @t207 () (@list @t191)) % 11.43/11.60 (define @t208 () (forall @t207 @t205)) % 11.43/11.60 (define @t209 () (forall @t207 @t204)) % 11.43/11.60 (define @t210 () (@list @t2)) % 11.43/11.60 (define @t211 () (or @t15 @t196 @t209)) % 11.43/11.60 (define @t212 () (not @t8)) % 11.43/11.60 (define @t213 () (or @t9 @t212 @t6)) % 11.43/11.60 (define @t214 () (forall @t12 @t213)) % 11.43/11.60 (define @t215 () (or @t15 @t196 @t214)) % 11.43/11.60 (define @t216 () (or @t15 @t196)) % 11.43/11.60 (define @t217 () (not @t16)) % 11.43/11.60 (define @t218 () (not @t17)) % 11.43/11.60 (define @t219 () (or @t9 @t212)) % 11.43/11.60 (define @t220 () (or @t180 @t212)) % 11.43/11.60 (define @t221 () (not @t11)) % 11.43/11.60 (define @t222 () (tptp.k1_zfmisc_1 @t159)) % 11.43/11.60 (define @t223 () (tptp.m1_subset_1 @t154 @t222)) % 11.43/11.60 (define @t224 () (tptp.r1_filter_2 @t159 @t158 @t157)) % 11.43/11.60 (define @t225 () (not @t223)) % 11.43/11.60 (define @t226 () (tptp.v1_xboole_0 @t154)) % 11.43/11.60 (define @t227 () (tptp.m1_subset_1 @t155 @t222)) % 11.43/11.60 (define @t228 () (not @t227)) % 11.43/11.60 (define @t229 () (tptp.v1_xboole_0 @t155)) % 11.43/11.60 (define @t230 () (tptp.l3_lattices @t156)) % 11.43/11.60 (define @t231 () (not @t230)) % 11.43/11.60 (define @t232 () (tptp.v10_lattices @t156)) % 11.43/11.60 (define @t233 () (not @t232)) % 11.43/11.60 (define @t234 () (tptp.v3_struct_0 @t156)) % 11.43/11.60 (define @t235 () (or @t234 @t233 @t231 @t229 @t228 @t226 @t225 @t224)) % 11.43/11.60 (define @t236 () (@list true)) % 11.43/11.60 (define @t237 () (@list @t235)) % 11.43/11.60 (define @t238 () (not @t234)) % 11.43/11.60 (define @t239 () (not @t165)) % 11.43/11.60 (define @t240 () (tptp.a_3_0_filter_2 @t156 @t155 @t154)) % 11.43/11.60 (define @t241 () (tptp.r2_hidden @t161 @t240)) % 11.43/11.60 (define @t242 () (= @t241 @t239)) % 11.43/11.60 (define @t243 () (or @t234 @t233 @t231 @t229 @t228 @t226 @t225 @t242)) % 11.43/11.60 (define @t244 () (@list true false false true false true false false)) % 11.43/11.60 (define @t245 () (@var "BOUND_VARIABLE_7996" $$unsorted)) % 11.43/11.60 (define @t246 () (@var "BOUND_VARIABLE_7994" $$unsorted)) % 11.43/11.60 (define @t247 () (not @t67)) % 11.43/11.60 (define @t248 () (= (tptp.r1_filter_2 @t3 @t246 @t245) (forall @t68 (or @t247 (= (tptp.r2_hidden @t64 @t246) (tptp.r2_hidden @t64 @t245)))))) % 11.43/11.60 (define @t249 () (not (tptp.m1_subset_1 @t245 @t72))) % 11.43/11.60 (define @t250 () (not (tptp.m1_subset_1 @t246 @t72))) % 11.43/11.60 (define @t251 () (or @t250 @t249 @t248)) % 11.43/11.60 (define @t252 () (or @t33 @t251)) % 11.43/11.60 (define @t253 () (forall (@list @t3 @t246 @t245) @t252)) % 11.43/11.60 (define @t254 () (@list @t246 @t245)) % 11.43/11.60 (define @t255 () (forall @t254 @t252)) % 11.43/11.60 (define @t256 () (forall @t254 @t251)) % 11.43/11.60 (define @t257 () (@var "BOUND_VARIABLE_7974" $$unsorted)) % 11.43/11.60 (define @t258 () (or @t33 @t256)) % 11.43/11.60 (define @t259 () (= (tptp.r1_filter_2 @t3 @t1 @t257) (forall @t68 (or @t247 (= @t65 (tptp.r2_hidden @t64 @t257)))))) % 11.43/11.60 (define @t260 () (not (tptp.m1_subset_1 @t257 @t72))) % 11.43/11.60 (define @t261 () (not @t76)) % 11.43/11.60 (define @t262 () (or @t261 @t260 @t259)) % 11.43/11.60 (define @t263 () (@list @t1 @t257)) % 11.43/11.60 (define @t264 () (forall @t263 @t262)) % 11.43/11.60 (define @t265 () (or @t260 @t259)) % 11.43/11.60 (define @t266 () (or @t261 @t265)) % 11.43/11.60 (define @t267 () (forall @t263 @t266)) % 11.43/11.60 (define @t268 () (@list @t257)) % 11.43/11.60 (define @t269 () (forall @t268 @t266)) % 11.43/11.60 (define @t270 () (forall @t268 @t265)) % 11.43/11.60 (define @t271 () (or @t261 @t270)) % 11.43/11.60 (define @t272 () (= @t70 (forall @t68 (or @t247 @t66)))) % 11.43/11.60 (define @t273 () (forall @t12 (or (not @t73) @t272))) % 11.43/11.60 (define @t274 () (or @t140 @t150 @t149 @t217 @t196 @t180 @t212)) % 11.43/11.60 (define @t275 () (@list @t156 @t154 @t155)) % 11.43/11.60 (define @t276 () (tptp.m1_subset_1 @t157 @t222)) % 11.43/11.60 (define @t277 () (or @t234 @t233 @t231 @t226 @t225 @t229 @t228 @t276)) % 11.43/11.60 (define @t278 () (@list @t156 @t155 @t154)) % 11.43/11.60 (define @t279 () (tptp.m1_subset_1 @t158 @t222)) % 11.43/11.60 (define @t280 () (or @t234 @t233 @t231 @t229 @t228 @t226 @t225 @t279)) % 11.43/11.60 (define @t281 () (not @t92)) % 11.43/11.60 (define @t282 () (@list @t156)) % 11.43/11.60 (define @t283 () (tptp.l2_lattices @t156)) % 11.43/11.60 (define @t284 () (tptp.l1_lattices @t156)) % 11.43/11.60 (define @t285 () (and @t284 @t283)) % 11.43/11.60 (define @t286 () (or @t231 @t285)) % 11.43/11.60 (define @t287 () (@list false false)) % 11.43/11.60 (define @t288 () (not @t285)) % 11.43/11.60 (define @t289 () (@list false)) % 11.43/11.60 (define @t290 () (@list @t285)) % 11.43/11.60 (define @t291 () (tptp.l1_struct_0 @t156)) % 11.43/11.60 (define @t292 () (not @t284)) % 11.43/11.60 (define @t293 () (or @t292 @t291)) % 11.43/11.60 (define @t294 () (tptp.v1_xboole_0 @t159)) % 11.43/11.60 (define @t295 () (not @t294)) % 11.43/11.60 (define @t296 () (not @t291)) % 11.43/11.60 (define @t297 () (or @t234 @t296 @t295)) % 11.43/11.60 (define @t298 () (@list true false false)) % 11.43/11.60 (define @t299 () (= @t224 @t160)) % 11.43/11.60 (define @t300 () (not @t276)) % 11.43/11.60 (define @t301 () (not @t279)) % 11.43/11.60 (define @t302 () (or @t294 @t301 @t300 @t299)) % 11.43/11.60 (define @t303 () (@list true false false false)) % 11.43/11.60 (define @t304 () (not @t160)) % 11.43/11.60 (define @t305 () (tptp.r2_hidden @t161 @t157)) % 11.43/11.60 (define @t306 () (tptp.r2_hidden @t161 @t158)) % 11.43/11.60 (define @t307 () (= @t306 @t305)) % 11.43/11.60 (define @t308 () (or (not (tptp.m1_subset_1 @t161 @t159)) @t307)) % 11.43/11.60 (define @t309 () (@var "BOUND_VARIABLE_7926" $$unsorted)) % 11.43/11.60 (define @t310 () (@var "BOUND_VARIABLE_7924" $$unsorted)) % 11.43/11.60 (define @t311 () (= (tptp.k20_filter_2 @t3 @t310 @t309) (tptp.a_3_0_filter_2 @t3 @t310 @t309))) % 11.43/11.60 (define @t312 () (not (tptp.m1_subset_1 @t309 @t7))) % 11.43/11.60 (define @t313 () (tptp.v1_xboole_0 @t309)) % 11.43/11.60 (define @t314 () (not (tptp.m1_subset_1 @t310 @t7))) % 11.43/11.60 (define @t315 () (tptp.v1_xboole_0 @t310)) % 11.43/11.60 (define @t316 () (or @t315 @t314 @t313 @t312 @t311)) % 11.43/11.60 (define @t317 () (or @t23 @t150 @t149 @t316)) % 11.43/11.60 (define @t318 () (forall (@list @t3 @t310 @t309) @t317)) % 11.43/11.60 (define @t319 () (@list @t310 @t309)) % 11.43/11.60 (define @t320 () (forall @t319 @t317)) % 11.43/11.60 (define @t321 () (forall @t319 @t316)) % 11.43/11.60 (define @t322 () (@var "BOUND_VARIABLE_7906" $$unsorted)) % 11.43/11.60 (define @t323 () (or @t23 @t150 @t149 @t321)) % 11.43/11.60 (define @t324 () (= (tptp.k20_filter_2 @t3 @t1 @t322) (tptp.a_3_0_filter_2 @t3 @t1 @t322))) % 11.43/11.60 (define @t325 () (not (tptp.m1_subset_1 @t322 @t7))) % 11.43/11.60 (define @t326 () (tptp.v1_xboole_0 @t322)) % 11.43/11.60 (define @t327 () (or @t15 @t196 @t326 @t325 @t324)) % 11.43/11.60 (define @t328 () (@list @t1 @t322)) % 11.43/11.60 (define @t329 () (forall @t328 @t327)) % 11.43/11.60 (define @t330 () (or @t23 @t150 @t149 @t329)) % 11.43/11.60 (define @t331 () (or @t326 @t325 @t324)) % 11.43/11.60 (define @t332 () (or @t15 @t196 @t331)) % 11.43/11.60 (define @t333 () (forall @t328 @t332)) % 11.43/11.60 (define @t334 () (@list @t322)) % 11.43/11.60 (define @t335 () (forall @t334 @t332)) % 11.43/11.60 (define @t336 () (forall @t334 @t331)) % 11.43/11.60 (define @t337 () (or @t15 @t196 @t336)) % 11.43/11.60 (define @t338 () (or @t9 @t212 @t57)) % 11.43/11.60 (define @t339 () (forall @t12 @t338)) % 11.43/11.60 (define @t340 () (or @t15 @t196 @t339)) % 11.43/11.60 (define @t341 () (tptp.a_3_0_filter_2 @t156 @t154 @t155)) % 11.43/11.60 (define @t342 () (= @t157 @t341)) % 11.43/11.60 (define @t343 () (or @t234 @t233 @t231 @t226 @t225 @t229 @t228 @t342)) % 11.43/11.60 (define @t344 () (tptp.r2_hidden @t161 @t341)) % 11.43/11.60 (define @t345 () (and @t342 @t305)) % 11.43/11.60 (define @t346 () (= @t158 @t240)) % 11.43/11.60 (define @t347 () (or @t234 @t233 @t231 @t229 @t228 @t226 @t225 @t346)) % 11.43/11.60 (define @t348 () (not @t241)) % 11.43/11.60 (define @t349 () (not @t346)) % 11.43/11.60 (define @t350 () (not @t306)) % 11.43/11.60 (define @t351 () (and @t346 @t350)) % 11.43/11.60 (define @t352 () (forall @t115 (or @t164 @t163 @t162 (not (tptp.r2_hidden @t88 @t154)) (not (tptp.r2_hidden @t87 @t155))))) % 11.43/11.60 (define @t353 () (not @t352)) % 11.43/11.60 (define @t354 () (= @t344 @t353)) % 11.43/11.60 (define @t355 () (or @t234 @t233 @t231 @t226 @t225 @t229 @t228 @t354)) % 11.43/11.60 (define @t356 () (not @t354)) % 11.43/11.60 (define @t357 () (not @t344)) % 11.43/11.60 (define @t358 () (not @t242)) % 11.43/11.60 (define @t359 () (not @t239)) % 11.43/11.60 (define @t360 () (@quantifiers_skolemize @t352 1)) % 11.43/11.60 (define @t361 () (tptp.r2_hidden @t360 @t155)) % 11.43/11.60 (define @t362 () (not @t361)) % 11.43/11.60 (define @t363 () (@quantifiers_skolemize @t352 0)) % 11.43/11.60 (define @t364 () (tptp.r2_hidden @t363 @t154)) % 11.43/11.60 (define @t365 () (not @t364)) % 11.43/11.60 (define @t366 () (tptp.k3_lattices @t156 @t363 @t360)) % 11.43/11.60 (define @t367 () (= @t161 @t366)) % 11.43/11.60 (define @t368 () (not @t367)) % 11.43/11.60 (define @t369 () (tptp.m1_subset_1 @t360 @t159)) % 11.43/11.60 (define @t370 () (not @t369)) % 11.43/11.60 (define @t371 () (tptp.m1_subset_1 @t363 @t159)) % 11.43/11.60 (define @t372 () (not @t371)) % 11.43/11.60 (define @t373 () (or @t372 @t370 @t368 @t365 @t362)) % 11.43/11.60 (define @t374 () (not @t373)) % 11.43/11.60 (define @t375 () (not @t353)) % 11.43/11.60 (define @t376 () (tptp.k3_lattices @t156 @t360 @t363)) % 11.43/11.60 (define @t377 () (= @t161 @t376)) % 11.43/11.60 (define @t378 () (not @t377)) % 11.43/11.60 (define @t379 () (or @t370 @t372 @t378 @t362 @t365)) % 11.43/11.60 (define @t380 () (or @t23 @t150 @t36)) % 11.43/11.60 (define @t381 () (tptp.v4_lattices @t156)) % 11.43/11.60 (define @t382 () (and @t238 @t381 (tptp.v5_lattices @t156) (tptp.v6_lattices @t156) (tptp.v7_lattices @t156) (tptp.v8_lattices @t156) (tptp.v9_lattices @t156))) % 11.43/11.60 (define @t383 () (or @t231 @t234 @t233 @t382)) % 11.43/11.60 (define @t384 () (= @t366 @t376)) % 11.43/11.60 (define @t385 () (not @t283)) % 11.43/11.60 (define @t386 () (not @t381)) % 11.43/11.60 (define @t387 () (or @t234 @t386 @t385 @t372 @t370 @t384)) % 11.43/11.60 (define @t388 () (not @t384)) % 11.43/11.60 (define @t389 () (and @t367 @t378)) % 11.43/11.60 (define @t390 () (and @t346 @t348)) % 11.43/11.60 (define @t391 () (tptp.r2_hidden @t166 @t154)) % 11.43/11.60 (define @t392 () (not @t391)) % 11.43/11.60 (define @t393 () (tptp.r2_hidden @t167 @t155)) % 11.43/11.60 (define @t394 () (not @t393)) % 11.43/11.60 (define @t395 () (tptp.k3_lattices @t156 @t167 @t166)) % 11.43/11.60 (define @t396 () (= @t161 @t395)) % 11.43/11.60 (define @t397 () (not @t396)) % 11.43/11.60 (define @t398 () (tptp.m1_subset_1 @t166 @t159)) % 11.43/11.60 (define @t399 () (not @t398)) % 11.43/11.60 (define @t400 () (tptp.m1_subset_1 @t167 @t159)) % 11.43/11.60 (define @t401 () (not @t400)) % 11.43/11.60 (define @t402 () (or @t401 @t399 @t397 @t394 @t392)) % 11.43/11.60 (define @t403 () (not @t402)) % 11.43/11.60 (define @t404 () (@list @t402)) % 11.43/11.60 (define @t405 () (tptp.k3_lattices @t156 @t166 @t167)) % 11.43/11.60 (define @t406 () (= @t395 @t405)) % 11.43/11.60 (define @t407 () (or @t234 @t386 @t385 @t401 @t399 @t406)) % 11.43/11.60 (define @t408 () (= @t161 @t405)) % 11.43/11.60 (define @t409 () (not @t408)) % 11.43/11.60 (define @t410 () (or @t399 @t401 @t409 @t392 @t394)) % 11.43/11.60 (define @t411 () (and @t342 @t344)) % 11.43/11.60 (define @t412 () (and @t396 @t406)) % 11.43/11.60 (assume @p1 @t29) % 11.43/11.60 (assume @p2 (forall @t31 (=> @t30 (not (tptp.r2_hidden @t1 @t3))))) % 11.43/11.60 (assume @p3 (forall @t27 (=> @t33 @t32))) % 11.43/11.60 (assume @p4 @t39) % 11.43/11.60 (assume @p5 (forall @t27 (=> @t42 @t40))) % 11.43/11.60 (assume @p6 (forall @t45 (=> @t44 (tptp.v1_relat_1 @t2)))) % 11.43/11.60 (assume @p7 (forall @t27 (=> @t48 @t47))) % 11.43/11.60 (assume @p8 (forall @t27 (=> @t21 (=> @t36 @t37)))) % 11.43/11.60 (assume @p9 (forall @t31 (= @t49 (tptp.k2_tarski @t1 @t3)))) % 11.43/11.60 (assume @p10 @t56) % 11.43/11.60 (assume @p11 @t62) % 11.43/11.60 (assume @p12 (forall @t27 (=> @t63 (forall (@list @t1 @t2) (= (tptp.k1_binop_1 @t3 @t1 @t2) (tptp.k1_funct_1 @t3 (tptp.k4_tarski @t1 @t2))))))) % 11.43/11.60 (assume @p13 @t80) % 11.43/11.60 (assume @p14 (forall @t27 (=> (and @t24 @t54) (forall @t19 (=> @t53 (forall @t12 (=> @t52 (= @t82 (tptp.k2_binop_1 @t5 @t5 @t5 @t81 @t1 @t2))))))))) % 11.43/11.60 (assume @p15 (forall @t31 (= (tptp.k4_tarski @t3 @t1) (tptp.k2_tarski @t49 @t83)))) % 11.43/11.60 (assume @p16 true) % 11.43/11.60 (assume @p17 (forall @t45 (=> (and @t24 @t54 @t53 @t52) (tptp.m1_subset_1 @t82 @t5)))) % 11.43/11.60 (assume @p18 @t86) % 11.43/11.60 (assume @p19 (forall @t91 (=> @t90 (tptp.m1_subset_1 @t89 @t2)))) % 11.43/11.60 (assume @p20 (forall @t45 (=> @t55 (tptp.m1_subset_1 @t50 @t5)))) % 11.43/11.60 (assume @p21 @t94) % 11.43/11.60 (assume @p22 (forall @t27 (=> @t54 @t92))) % 11.43/11.60 (assume @p23 @t96) % 11.43/11.60 (assume @p24 (forall @t45 (=> @t97 @t44))) % 11.43/11.60 (assume @p25 (forall @t27 (=> @t54 (and @t100 @t99 (tptp.m2_relset_1 @t81 @t98 @t5))))) % 11.43/11.60 (assume @p26 (exists @t27 @t93)) % 11.43/11.60 (assume @p27 (exists @t27 @t92)) % 11.43/11.60 (assume @p28 (exists @t27 @t54)) % 11.43/11.60 (assume @p29 (exists @t27 @t21)) % 11.43/11.60 (assume @p30 (forall @t31 (exists @t12 @t101))) % 11.43/11.60 (assume @p31 (forall @t27 (exists @t19 (tptp.m1_subset_1 @t1 @t3)))) % 11.43/11.60 (assume @p32 (forall @t31 (exists @t12 @t97))) % 11.43/11.60 (assume @p33 @t104) % 11.43/11.60 (assume @p34 (forall @t27 (not (tptp.v1_xboole_0 @t72)))) % 11.43/11.60 (assume @p35 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 11.43/11.60 (assume @p36 (forall @t27 (=> (and @t24 @t35 @t54) (and @t106 @t100 @t99 (tptp.v1_binop_1 @t81 @t5) @t105)))) % 11.43/11.60 (assume @p37 (forall @t27 @t107)) % 11.43/11.60 (assume @p38 (forall @t45 (=> @t85 (not (tptp.v1_xboole_0 @t4))))) % 11.43/11.60 (assume @p39 (forall @t27 (=> (and @t24 @t34 @t54) (and @t106 @t100 @t99 (tptp.v2_binop_1 @t81 @t5) @t105)))) % 11.43/11.60 (assume @p40 (forall @t27 (and @t107 (tptp.v1_finset_1 @t83) (tptp.v1_realset1 @t83)))) % 11.43/11.60 (assume @p41 (forall @t31 (not (tptp.v1_xboole_0 @t49)))) % 11.43/11.60 (assume @p42 (forall @t31 (=> (and @t40 @t16) (not (tptp.v1_xboole_0 @t43))))) % 11.43/11.60 (assume @p43 @t131) % 11.43/11.60 (assume @p44 (exists @t27 @t63)) % 11.43/11.60 (assume @p45 (exists @t27 (and @t40 @t41))) % 11.43/11.60 (assume @p46 (forall @t27 (=> @t40 (exists @t19 (and @t76 @t16))))) % 11.43/11.60 (assume @p47 (exists @t27 @t33)) % 11.43/11.60 (assume @p48 (exists @t27 @t48)) % 11.43/11.60 (assume @p49 (exists @t27 (and @t40 @t42))) % 11.43/11.60 (assume @p50 (forall @t27 (exists @t19 (and @t76 @t15)))) % 11.43/11.60 (assume @p51 (exists @t27 @t40)) % 11.43/11.60 (assume @p52 (exists @t27 @t47)) % 11.43/11.60 (assume @p53 (exists @t27 (and @t92 @t24))) % 11.43/11.60 (assume @p54 (forall @t27 (=> @t103 (exists @t19 (and @t14 @t16))))) % 11.43/11.60 (assume @p55 (forall @t91 (=> @t90 (= @t89 (tptp.k1_binop_1 @t64 @t88 @t87))))) % 11.43/11.60 (assume @p56 (forall @t45 (=> @t55 (= @t50 @t82)))) % 11.43/11.60 (assume @p57 (forall @t45 (= @t97 @t101))) % 11.43/11.60 (assume @p58 (forall @t45 (=> @t132 (= @t70 (= @t1 @t2))))) % 11.43/11.60 (assume @p59 (forall @t45 (=> @t132 (tptp.r1_filter_2 @t3 @t1 @t1)))) % 11.43/11.60 (assume @p60 (forall @t31 (tptp.r1_tarski @t3 @t3))) % 11.43/11.60 (assume @p61 (forall @t45 (=> @t132 (=> @t70 (tptp.r1_filter_2 @t3 @t2 @t1))))) % 11.43/11.60 (assume @p62 (forall @t31 (=> @t30 @t133))) % 11.43/11.60 (assume @p63 (forall @t31 (=> @t133 (or @t15 @t30)))) % 11.43/11.60 (assume @p64 (forall @t31 (=> (forall @t12 (= (tptp.r2_hidden @t2 @t3) (tptp.r2_hidden @t2 @t1))) @t134))) % 11.43/11.60 (assume @p65 (forall @t31 (= (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t3 @t1)))) % 11.43/11.60 (assume @p66 (forall @t45 (=> (and @t30 @t135) (tptp.m1_subset_1 @t3 @t2)))) % 11.43/11.60 (assume @p67 (forall @t45 (not (and @t30 @t135 @t9)))) % 11.43/11.60 (assume @p68 (forall @t27 (=> @t33 (= @t3 tptp.k1_xboole_0)))) % 11.43/11.60 (assume @p69 (forall @t31 (not (and @t30 @t15)))) % 11.43/11.60 (assume @p70 (forall @t31 (not (and @t33 (not @t134) @t15)))) % 11.43/11.60 (step @p71 :rule aci_norm :args ((= (or (or @t23 @t139 @t138 @t137 @t136) @t51) (or @t23 @t139 @t138 @t137 @t136 @t51)))) % 11.43/11.60 (step @p72 :rule refl :args (@t51)) % 11.43/11.60 (step @p73 :rule refl :args (@t136)) % 11.43/11.60 (step @p74 :rule refl :args (@t137)) % 11.43/11.60 (step @p75 :rule refl :args (@t138)) % 11.43/11.60 (step @p76 :rule refl :args (@t139)) % 11.43/11.60 (step @p77 :rule bool-double-not-elim :args (@t23)) % 11.43/11.60 (step @p78 :rule nary_cong :premises (@p77 @p76 @p75 @p74 @p73) :args (@t141)) % 11.43/11.60 (step @p79 :rule aci_norm :args ((= (or @t140 (or @t139 (or @t138 (or @t137 @t136)))) @t141))) % 11.43/11.60 (step @p80 :rule trans :premises (@p79 @p78)) % 11.43/11.60 (step @p81 :rule bool-and-de-morgan :args (@t53 @t52 true)) % 11.43/11.60 (step @p82 :rule nary_cong :premises (@p75 @p81) :args ((or @t138 (not (and @t53 @t52))))) % 11.43/11.60 (step @p83 :rule bool-and-de-morgan :args (@t54 @t53 (and @t52))) % 11.43/11.60 (step @p84 :rule trans :premises (@p83 @p82)) % 11.43/11.60 (step @p85 :rule nary_cong :premises (@p76 @p84) :args ((or @t139 (not (and @t54 @t53 @t52))))) % 11.43/11.60 (step @p86 :rule bool-and-de-morgan :args (@t35 @t54 (and @t53 @t52))) % 11.43/11.60 (step @p87 :rule trans :premises (@p86 @p85)) % 11.43/11.60 (step @p88 :rule refl :args (@t140)) % 11.43/11.60 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t140 (not (and @t35 @t54 @t53 @t52))))) % 11.43/11.60 (step @p90 :rule bool-and-de-morgan :args (@t24 @t35 (and @t54 @t53 @t52))) % 11.43/11.60 (step @p91 :rule trans :premises (@p90 @p89)) % 11.43/11.60 (step @p92 :rule trans :premises (@p91 @p80)) % 11.43/11.60 (step @p93 :rule nary_cong :premises (@p92 @p72) :args ((or (not @t55) @t51))) % 11.43/11.60 (step @p94 :rule trans :premises (@p93 @p71)) % 11.43/11.60 (step @p95 :rule bool-impl-elim :args (@t55 @t51)) % 11.43/11.60 (step @p96 :rule trans :premises (@p95 @p94)) % 11.43/11.60 (step @p97 :rule cong :premises (@p96) :args (@t56)) % 11.43/11.60 (step @p98 :rule eq_resolve :premises (@p10 @p97)) % 11.43/11.60 (step @p99 :rule instantiate :premises (@p98) :args ((@list @t156 @t167 @t166))) % 11.43/11.60 (step @p100 :rule aci_norm :args ((= (or (or @t126 @t178 @t177 @t9 @t176 @t121 @t175) @t174) (or @t126 @t178 @t177 @t9 @t176 @t121 @t175 @t174)))) % 11.43/11.60 (step @p101 :rule refl :args (@t174)) % 11.43/11.60 (step @p102 :rule refl :args (@t175)) % 11.43/11.60 (step @p103 :rule bool-double-not-elim :args (@t121)) % 11.43/11.60 (step @p104 :rule refl :args (@t176)) % 11.43/11.60 (step @p105 :rule bool-double-not-elim :args (@t9)) % 11.43/11.60 (step @p106 :rule refl :args (@t177)) % 11.43/11.60 (step @p107 :rule refl :args (@t178)) % 11.43/11.60 (step @p108 :rule bool-double-not-elim :args (@t126)) % 11.43/11.60 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p105 @p104 @p103 @p102) :args (@t182)) % 11.43/11.60 (step @p110 :rule aci_norm :args ((= (or @t181 (or @t178 (or @t177 (or @t180 (or @t176 (or @t179 @t175)))))) @t182))) % 11.43/11.60 (step @p111 :rule trans :premises (@p110 @p109)) % 11.43/11.60 (step @p112 :rule bool-and-de-morgan :args (@t122 @t120 true)) % 11.43/11.60 (step @p113 :rule nary_cong :premises (@p104 @p112) :args ((or @t176 (not (and @t122 @t120))))) % 11.43/11.60 (step @p114 :rule bool-and-de-morgan :args (@t123 @t122 (and @t120))) % 11.43/11.60 (step @p115 :rule trans :premises (@p114 @p113)) % 11.43/11.60 (step @p116 :rule refl :args (@t180)) % 11.43/11.60 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or @t180 (not (and @t123 @t122 @t120))))) % 11.43/11.60 (step @p118 :rule bool-and-de-morgan :args (@t10 @t123 (and @t122 @t120))) % 11.43/11.60 (step @p119 :rule trans :premises (@p118 @p117)) % 11.43/11.60 (step @p120 :rule nary_cong :premises (@p106 @p119) :args ((or @t177 (not (and @t10 @t123 @t122 @t120))))) % 11.43/11.60 (step @p121 :rule bool-and-de-morgan :args (@t124 @t10 (and @t123 @t122 @t120))) % 11.43/11.60 (step @p122 :rule trans :premises (@p121 @p120)) % 11.43/11.60 (step @p123 :rule nary_cong :premises (@p107 @p122) :args ((or @t178 (not (and @t124 @t10 @t123 @t122 @t120))))) % 11.43/11.60 (step @p124 :rule bool-and-de-morgan :args (@t125 @t124 (and @t10 @t123 @t122 @t120))) % 11.43/11.60 (step @p125 :rule trans :premises (@p124 @p123)) % 11.43/11.60 (step @p126 :rule refl :args (@t181)) % 11.43/11.60 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t181 (not (and @t125 @t124 @t10 @t123 @t122 @t120))))) % 11.43/11.60 (step @p128 :rule bool-and-de-morgan :args (@t127 @t125 (and @t124 @t10 @t123 @t122 @t120))) % 11.43/11.60 (step @p129 :rule trans :premises (@p128 @p127)) % 11.43/11.60 (step @p130 :rule trans :premises (@p129 @p111)) % 11.43/11.60 (step @p131 :rule nary_cong :premises (@p130 @p101) :args ((or (not @t128) @t174))) % 11.43/11.60 (step @p132 :rule trans :premises (@p131 @p100)) % 11.43/11.60 (step @p133 :rule bool-impl-elim :args (@t128 @t174)) % 11.43/11.60 (step @p134 :rule trans :premises (@p133 @p132)) % 11.43/11.60 (step @p135 :rule cong :premises (@p134) :args ((forall @t130 (=> @t128 @t174)))) % 11.43/11.60 (step @p136 :rule aci_norm :args ((= (or @t172 (or @t171 (or @t170 (or @t169 @t168)))) @t173))) % 11.43/11.60 (step @p137 :rule bool-and-de-morgan :args (@t109 @t108 true)) % 11.43/11.60 (step @p138 :rule refl :args (@t170)) % 11.43/11.60 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or @t170 (not (and @t109 @t108))))) % 11.43/11.60 (step @p140 :rule bool-and-de-morgan :args (@t110 @t109 (and @t108))) % 11.43/11.60 (step @p141 :rule trans :premises (@p140 @p139)) % 11.43/11.60 (step @p142 :rule refl :args (@t171)) % 11.43/11.60 (step @p143 :rule nary_cong :premises (@p142 @p141) :args ((or @t171 (not (and @t110 @t109 @t108))))) % 11.43/11.60 (step @p144 :rule bool-and-de-morgan :args (@t112 @t110 (and @t109 @t108))) % 11.43/11.60 (step @p145 :rule trans :premises (@p144 @p143)) % 11.43/11.60 (step @p146 :rule refl :args (@t172)) % 11.43/11.60 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or @t172 (not (and @t112 @t110 @t109 @t108))))) % 11.43/11.60 (step @p148 :rule bool-and-de-morgan :args (@t113 @t112 (and @t110 @t109 @t108))) % 11.43/11.60 (step @p149 :rule trans :premises (@p148 @p147)) % 11.43/11.60 (step @p150 :rule trans :premises (@p149 @p136)) % 11.43/11.60 (step @p151 :rule cong :premises (@p150) :args (@t183)) % 11.43/11.60 (step @p152 :rule cong :premises (@p151) :args (@t184)) % 11.43/11.60 (step @p153 :rule exists-elim :args ((= @t116 @t184))) % 11.43/11.60 (step @p154 :rule trans :premises (@p153 @p152)) % 11.43/11.60 (step @p155 :rule refl :args (@t117)) % 11.43/11.60 (step @p156 :rule cong :premises (@p155 @p154) :args (@t118)) % 11.43/11.60 (step @p157 :rule refl :args (@t128)) % 11.43/11.60 (step @p158 :rule cong :premises (@p157 @p156) :args (@t129)) % 11.43/11.60 (step @p159 :rule cong :premises (@p158) :args (@t131)) % 11.43/11.60 (step @p160 :rule trans :premises (@p159 @p135)) % 11.43/11.60 (step @p161 :rule eq_resolve :premises (@p43 @p160)) % 11.43/11.60 (step @p162 :rule instantiate :premises (@p161) :args ((@list @t161 @t156 @t155 @t154))) % 11.43/11.60 (step @p163 :rule aci_norm :args ((= @t186 @t151))) % 11.43/11.60 (step @p164 :rule cong :premises (@p163) :args (@t187)) % 11.43/11.60 (step @p165 :rule quant-merge-prenex :args ((= (forall @t27 @t189) @t187))) % 11.43/11.60 (step @p166 :rule alpha_equiv :args (@t190 (@list @t142 @t143) (@list @t1 @t191))) % 11.43/11.60 (step @p167 :rule refl :args (@t149)) % 11.43/11.60 (step @p168 :rule refl :args (@t150)) % 11.43/11.60 (step @p169 :rule refl :args (@t23)) % 11.43/11.60 (step @p170 :rule nary_cong :premises (@p169 @p168 @p167 @p166) :args (@t192)) % 11.43/11.60 (step @p171 :rule quant-miniscope-or :args ((= @t189 @t192))) % 11.43/11.60 (step @p172 :rule trans :premises (@p171 @p170)) % 11.43/11.60 (step @p173 :rule symm :premises (@p172)) % 11.43/11.60 (step @p174 :rule cong :premises (@p173) :args ((forall @t27 @t200))) % 11.43/11.60 (step @p175 :rule trans :premises (@p174 @p165)) % 11.43/11.60 (step @p176 :rule trans :premises (@p175 @p164)) % 11.43/11.60 (step @p177 :rule aci_norm :args ((= (or @t201 @t199) @t200))) % 11.43/11.60 (step @p178 :rule refl :args (@t199)) % 11.43/11.60 (step @p179 :rule nary_cong :premises (@p77 @p168 @p167) :args (@t202)) % 11.43/11.60 (step @p180 :rule aci_norm :args ((= (or @t140 (or @t150 @t149)) @t202))) % 11.43/11.60 (step @p181 :rule trans :premises (@p180 @p179)) % 11.43/11.60 (step @p182 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 11.43/11.60 (step @p183 :rule nary_cong :premises (@p88 @p182) :args ((or @t140 (not (and @t22 @t21))))) % 11.43/11.60 (step @p184 :rule bool-and-de-morgan :args (@t24 @t22 (and @t21))) % 11.43/11.60 (step @p185 :rule trans :premises (@p184 @p183)) % 11.43/11.60 (step @p186 :rule trans :premises (@p185 @p181)) % 11.43/11.60 (step @p187 :rule nary_cong :premises (@p186 @p178) :args ((or @t203 @t199))) % 11.43/11.60 (step @p188 :rule trans :premises (@p187 @p177)) % 11.43/11.60 (step @p189 :rule bool-impl-elim :args (@t25 @t199)) % 11.43/11.60 (step @p190 :rule trans :premises (@p189 @p188)) % 11.43/11.60 (step @p191 :rule cong :premises (@p190) :args ((forall @t27 (=> @t25 @t199)))) % 11.43/11.60 (step @p192 :rule trans :premises (@p191 @p176)) % 11.43/11.60 (step @p193 :rule aci_norm :args ((= @t205 @t197))) % 11.43/11.60 (step @p194 :rule cong :premises (@p193) :args (@t206)) % 11.43/11.60 (step @p195 :rule quant-merge-prenex :args ((= (forall @t19 @t208) @t206))) % 11.43/11.60 (step @p196 :rule alpha_equiv :args (@t209 (@list @t191) @t210)) % 11.43/11.60 (step @p197 :rule refl :args (@t196)) % 11.43/11.60 (step @p198 :rule refl :args (@t15)) % 11.43/11.60 (step @p199 :rule nary_cong :premises (@p198 @p197 @p196) :args (@t211)) % 11.43/11.60 (step @p200 :rule quant-miniscope-or :args ((= @t208 @t211))) % 11.43/11.60 (step @p201 :rule trans :premises (@p200 @p199)) % 11.43/11.60 (step @p202 :rule symm :premises (@p201)) % 11.43/11.60 (step @p203 :rule cong :premises (@p202) :args ((forall @t19 @t215))) % 11.43/11.60 (step @p204 :rule trans :premises (@p203 @p195)) % 11.43/11.60 (step @p205 :rule trans :premises (@p204 @p194)) % 11.43/11.60 (step @p206 :rule aci_norm :args ((= (or @t216 @t214) @t215))) % 11.43/11.60 (step @p207 :rule refl :args (@t214)) % 11.43/11.60 (step @p208 :rule bool-double-not-elim :args (@t15)) % 11.43/11.60 (step @p209 :rule nary_cong :premises (@p208 @p197) :args ((or @t217 @t196))) % 11.43/11.60 (step @p210 :rule bool-and-de-morgan :args (@t16 @t14 true)) % 11.43/11.60 (step @p211 :rule trans :premises (@p210 @p209)) % 11.43/11.60 (step @p212 :rule nary_cong :premises (@p211 @p207) :args ((or @t218 @t214))) % 11.43/11.60 (step @p213 :rule trans :premises (@p212 @p206)) % 11.43/11.60 (step @p214 :rule bool-impl-elim :args (@t17 @t214)) % 11.43/11.60 (step @p215 :rule trans :premises (@p214 @p213)) % 11.43/11.60 (step @p216 :rule cong :premises (@p215) :args ((forall @t19 (=> @t17 @t214)))) % 11.43/11.60 (step @p217 :rule trans :premises (@p216 @p205)) % 11.43/11.60 (step @p218 :rule aci_norm :args ((= (or @t219 @t6) @t213))) % 11.43/11.60 (step @p219 :rule refl :args (@t6)) % 11.43/11.60 (step @p220 :rule refl :args (@t212)) % 11.43/11.60 (step @p221 :rule nary_cong :premises (@p105 @p220) :args (@t220)) % 11.43/11.60 (step @p222 :rule bool-and-de-morgan :args (@t10 @t8 true)) % 11.43/11.60 (step @p223 :rule trans :premises (@p222 @p221)) % 11.43/11.60 (step @p224 :rule nary_cong :premises (@p223 @p219) :args ((or @t221 @t6))) % 11.43/11.60 (step @p225 :rule trans :premises (@p224 @p218)) % 11.43/11.60 (step @p226 :rule bool-impl-elim :args (@t11 @t6)) % 11.43/11.60 (step @p227 :rule trans :premises (@p226 @p225)) % 11.43/11.60 (step @p228 :rule cong :premises (@p227) :args (@t13)) % 11.43/11.60 (step @p229 :rule refl :args (@t17)) % 11.43/11.60 (step @p230 :rule cong :premises (@p229 @p228) :args (@t18)) % 11.43/11.60 (step @p231 :rule cong :premises (@p230) :args (@t20)) % 11.43/11.60 (step @p232 :rule trans :premises (@p231 @p217)) % 11.43/11.60 (step @p233 :rule refl :args (@t25)) % 11.43/11.60 (step @p234 :rule cong :premises (@p233 @p232) :args (@t26)) % 11.43/11.60 (step @p235 :rule cong :premises (@p234) :args (@t28)) % 11.43/11.60 (step @p236 :rule trans :premises (@p235 @p192)) % 11.43/11.60 (step @p237 :rule cong :premises (@p236) :args (@t29)) % 11.43/11.60 (step @p238 :rule eq_resolve :premises (@p1 @p237)) % 11.43/11.60 (step @p239 :rule skolemize :premises (@p238)) % 11.43/11.60 (step @p240 :rule bool-double-not-elim :args (@t223)) % 11.43/11.60 (step @p241 :rule refl :args (@t235)) % 11.43/11.60 (step @p242 :rule nary_cong :premises (@p241 @p240) :args ((or @t235 (not @t225)))) % 11.43/11.60 (step @p243 :rule cnf_or_neg :args (@t235 6)) % 11.43/11.60 (step @p244 :rule eq_resolve :premises (@p243 @p242)) % 11.43/11.60 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11.43/11.61 (step @p644 :rule and_intro :premises (@p780 @p489)) % 11.43/11.61 (step @p645 :rule modus_ponens :premises (@p644 @p641)) % 11.43/11.61 (step-pop @p785 :rule scope :premises (@p645)) % 11.43/11.61 (step-pop @p786 :rule scope :premises (@p785)) % 11.43/11.61 (step @p646 :rule process_scope :premises (@p786) :args (@t350)) % 11.43/11.61 (step @p649 :rule implies_elim :premises (@p646)) % 11.43/11.61 (step @p650 :rule cnf_and_neg :args (@t390)) % 11.43/11.61 (step @p651 :rule resolution :premises (@p650 @p649) :args (true @t390)) % 11.43/11.61 (step @p652 :rule eq_resolve :premises (@p651 @p632)) % 11.43/11.61 (step @p653 :rule reordering :premises (@p652) :args ((or @t349 @t350 @t241))) % 11.43/11.61 (step @p654 :rule chain_m_resolution :premises (@p653 @p489 @p629) :args (@t241 @t287 (@list @t346 @t306))) % 11.43/11.61 (step @p655 :rule cnf_equiv_pos1 :args (@t242)) % 11.43/11.61 (step @p656 :rule reordering :premises (@p655) :args ((or @t239 @t348 @t358))) % 11.43/11.61 (step @p657 :rule chain_m_resolution :premises (@p656 @p654 @p273) :args (@t239 @t287 (@list @t241 @t242))) % 11.43/11.61 (step @p658 :rule refl :args (@t403)) % 11.43/11.61 (step @p659 :rule nary_cong :premises (@p521 @p658) :args ((or @t359 @t403))) % 11.43/11.61 (assume-push @p787 @t239) % 11.43/11.61 (step @p661 :rule skolemize :premises (@p787)) % 11.43/11.61 (step-pop @p788 :rule scope :premises (@p661)) % 11.43/11.61 (step @p662 :rule process_scope :premises (@p788) :args (@t403)) % 11.43/11.61 (step @p664 :rule implies_elim :premises (@p662)) % 11.43/11.61 (step @p665 :rule eq_resolve :premises (@p664 @p659)) % 11.43/11.61 (step @p666 :rule chain_m_resolution :premises (@p665 @p657) :args (@t403 @t236 (@list @t165))) % 11.43/11.61 (step @p667 :rule bool-double-not-elim :args (@t398)) % 11.43/11.61 (step @p668 :rule refl :args (@t402)) % 11.43/11.61 (step @p669 :rule nary_cong :premises (@p668 @p667) :args ((or @t402 (not @t399)))) % 11.43/11.61 (step @p670 :rule cnf_or_neg :args (@t402 1)) % 11.43/11.61 (step @p671 :rule eq_resolve :premises (@p670 @p669)) % 11.43/11.61 (step @p672 :rule reordering :premises (@p671) :args ((or @t398 @t402))) % 11.43/11.61 (step @p673 :rule chain_m_resolution :premises (@p672 @p666) :args (@t398 @t236 @t404)) % 11.43/11.61 (step @p674 :rule bool-double-not-elim :args (@t400)) % 11.43/11.61 (step @p675 :rule nary_cong :premises (@p668 @p674) :args ((or @t402 (not @t401)))) % 11.43/11.61 (step @p676 :rule cnf_or_neg :args (@t402 0)) % 11.43/11.61 (step @p677 :rule eq_resolve :premises (@p676 @p675)) % 11.43/11.61 (step @p678 :rule reordering :premises (@p677) :args ((or @t400 @t402))) % 11.43/11.61 (step @p679 :rule chain_m_resolution :premises (@p678 @p666) :args (@t400 @t236 @t404)) % 11.43/11.61 (step @p680 :rule cnf_or_pos :args (@t407)) % 11.43/11.61 (step @p681 :rule reordering :premises (@p680) :args ((or @t234 @t385 @t386 @t401 @t399 @t406 (not @t407)))) % 11.43/11.61 (step @p682 :rule chain_m_resolution :premises (@p681 @p270 @p595 @p592 @p679 @p673 @p99) :args (@t406 (@list true false false false false false) (@list @t234 @t283 @t381 @t400 @t398 @t407))) % 11.43/11.61 (step @p683 :rule bool-double-not-elim :args (@t396)) % 11.43/11.61 (step @p684 :rule nary_cong :premises (@p668 @p683) :args ((or @t402 (not @t397)))) % 11.43/11.61 (step @p685 :rule cnf_or_neg :args (@t402 2)) % 11.43/11.61 (step @p686 :rule eq_resolve :premises (@p685 @p684)) % 11.43/11.61 (step @p687 :rule reordering :premises (@p686) :args ((or @t396 @t402))) % 11.43/11.61 (step @p688 :rule chain_m_resolution :premises (@p687 @p666) :args (@t396 @t236 @t404)) % 11.43/11.61 (step @p689 :rule bool-double-not-elim :args (@t393)) % 11.43/11.61 (step @p690 :rule nary_cong :premises (@p668 @p689) :args ((or @t402 (not @t394)))) % 11.43/11.61 (step @p691 :rule cnf_or_neg :args (@t402 3)) % 11.43/11.61 (step @p692 :rule eq_resolve :premises (@p691 @p690)) % 11.43/11.61 (step @p693 :rule reordering :premises (@p692) :args ((or @t393 @t402))) % 11.43/11.61 (step @p694 :rule bool-double-not-elim :args (@t391)) % 11.43/11.61 (step @p695 :rule nary_cong :premises (@p668 @p694) :args ((or @t402 (not @t392)))) % 11.43/11.61 (step @p696 :rule cnf_or_neg :args (@t402 4)) % 11.43/11.61 (step @p697 :rule eq_resolve :premises (@p696 @p695)) % 11.43/11.61 (step @p698 :rule reordering :premises (@p697) :args ((or @t391 @t402))) % 11.43/11.61 (step @p699 :rule cnf_or_pos :args (@t410)) % 11.43/11.61 (step @p700 :rule reordering :premises (@p699) :args ((or @t401 @t399 @t394 @t392 @t409 (not @t410)))) % 11.43/11.61 (assume-push @p789 @t342) % 11.43/11.61 (assume-push @p790 @t344) % 11.43/11.61 (assume-push @p791 @t344) % 11.43/11.61 (assume-push @p792 @t342) % 11.43/11.61 (step @p705 :rule true_intro :premises (@p790)) % 11.43/11.61 (step @p471 :rule refl :args (@t161)) % 11.43/11.61 (step @p706 :rule cong :premises (@p471 @p464) :args (@t305)) % 11.43/11.61 (step @p707 :rule trans :premises (@p706 @p705)) % 11.43/11.61 (step @p708 :rule true_elim :premises (@p707)) % 11.43/11.61 (step-pop @p793 :rule scope :premises (@p708)) % 11.43/11.61 (step-pop @p794 :rule scope :premises (@p793)) % 11.43/11.61 (step @p709 :rule process_scope :premises (@p794) :args (@t305)) % 11.43/11.61 (step @p712 :rule and_intro :premises (@p790 @p464)) % 11.43/11.61 (step @p713 :rule modus_ponens :premises (@p712 @p709)) % 11.43/11.61 (step-pop @p795 :rule scope :premises (@p713)) % 11.43/11.61 (step-pop @p796 :rule scope :premises (@p795)) % 11.43/11.61 (step @p714 :rule process_scope :premises (@p796) :args (@t305)) % 11.43/11.61 (step @p717 :rule implies_elim :premises (@p714)) % 11.43/11.61 (step @p718 :rule cnf_and_neg :args (@t411)) % 11.43/11.61 (step @p719 :rule resolution :premises (@p718 @p717) :args (true @t411)) % 11.43/11.61 (step @p720 :rule reordering :premises (@p719) :args ((or (not @t342) @t305 @t357))) % 11.43/11.63 (assume-push @p797 @t352) % 11.43/11.63 (step @p722 :rule instantiate :premises (@p797) :args ((@list @t166 @t167))) % 11.43/11.63 (step-pop @p798 :rule scope :premises (@p722)) % 11.43/11.63 (step @p723 :rule process_scope :premises (@p798) :args (@t410)) % 11.43/11.63 (step @p725 :rule implies_elim :premises (@p723)) % 11.43/11.63 (step @p726 :rule refl :args (@t344)) % 11.43/11.63 (step @p727 :rule refl :args (@t356)) % 11.43/11.63 (step @p728 :rule nary_cong :premises (@p727 @p726 @p529) :args ((or @t356 @t344 @t375))) % 11.43/11.63 (step @p729 :rule cnf_equiv_pos2 :args (@t354)) % 11.43/11.63 (step @p730 :rule eq_resolve :premises (@p729 @p728)) % 11.43/11.63 (step @p731 :rule reordering :premises (@p730) :args ((or @t344 @t352 @t356))) % 11.43/11.63 (step @p732 :rule chain_m_resolution :premises (@p731 @p518 @p725 @p720 @p464 @p700 @p408 @p407 @p698 @p693 @p514 @p489 @p665 @p527 @p273) :args ((or @t165 @t401 @t399 @t409) (@list false true true false true true true false false false false true false false) (@list @t354 @t352 @t344 @t342 @t410 @t305 @t307 @t391 @t393 @t306 @t346 @t402 @t241 @t242))) % 11.43/11.63 (step @p733 :rule chain_m_resolution :premises (@p732 @p657 @p679 @p673) :args (@t409 @t298 (@list @t165 @t400 @t398))) % 11.43/11.63 (assume-push @p799 @t396) % 11.43/11.63 (assume-push @p800 @t406) % 11.43/11.63 (assume-push @p801 @t406) % 11.43/11.63 (assume-push @p802 @t396) % 11.43/11.63 (step @p738 :rule trans :premises (@p799 @p800)) % 11.43/11.63 (step-pop @p803 :rule scope :premises (@p738)) % 11.43/11.63 (step-pop @p804 :rule scope :premises (@p803)) % 11.43/11.63 (step @p739 :rule process_scope :premises (@p804) :args (@t408)) % 11.43/11.63 (step @p742 :rule and_intro :premises (@p800 @p799)) % 11.43/11.63 (step @p743 :rule modus_ponens :premises (@p742 @p739)) % 11.43/11.63 (step-pop @p805 :rule scope :premises (@p743)) % 11.43/11.63 (step-pop @p806 :rule scope :premises (@p805)) % 11.43/11.63 (step @p744 :rule process_scope :premises (@p806) :args (@t408)) % 11.43/11.63 (step @p747 :rule implies_elim :premises (@p744)) % 11.43/11.63 (step @p748 :rule cnf_and_neg :args (@t412)) % 11.43/11.63 (step @p749 :rule resolution :premises (@p748 @p747) :args (true @t412)) % 11.43/11.63 (step @p750 false :rule chain_m_resolution :premises (@p749 @p733 @p688 @p682) :args (false @t298 (@list @t408 @t396 @t406))) % 11.43/11.63 ) % 11.43/11.63 % SZS output end Proof % 11.43/11.63 % cvc5 exiting %------------------------------------------------------------------------------