%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG226+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:05:34 AM UTC 2026 % Result : Theorem 35.89s 36.06s % Output : Proof 35.89s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG226+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 01:46:53 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 35.89/36.06 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.89/36.06 --- Run --no-e-matching --full-saturate-quant at 6... % 35.89/36.06 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.89/36.06 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.89/36.06 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.89/36.06 % SZS status Theorem % 35.89/36.06 % SZS output start Proof % 35.89/36.06 ( % 35.89/36.06 (declare-sort $$unsorted 0) % 35.89/36.06 (declare-const tptp.a_2_1_closure3 (-> $$unsorted $$unsorted $$unsorted)) % 35.89/36.06 (declare-const tptp.k1_xboole_0 $$unsorted) % 35.89/36.06 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 35.89/36.06 (declare-const tptp.k1_relat_1 (-> $$unsorted $$unsorted)) % 35.89/36.06 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 35.89/36.06 (declare-const tptp.k3_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 35.89/36.06 (declare-const tptp.a_2_0_closure3 (-> $$unsorted $$unsorted $$unsorted)) % 35.89/36.06 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 35.89/36.06 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 35.89/36.06 (declare-const tptp.k1_closure3 (-> $$unsorted $$unsorted $$unsorted)) % 35.89/36.06 (declare-const tptp.k7_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 35.89/36.06 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 35.89/36.06 (declare-const tptp.m1_pboole (-> $$unsorted $$unsorted Bool)) % 35.89/36.06 (declare-const tptp.v2_relat_1 (-> $$unsorted Bool)) % 35.89/36.06 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 35.89/36.06 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 35.89/36.06 (declare-const tptp.v1_fraenkel (-> $$unsorted Bool)) % 35.89/36.06 (declare-const tptp.v1_pre_circ (-> $$unsorted $$unsorted Bool)) % 35.89/36.06 (declare-const tptp.r6_pboole (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.89/36.06 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 35.89/36.06 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 35.89/36.06 (define @t1 () (@var "C" $$unsorted)) % 35.89/36.06 (define @t2 () (@var "B" $$unsorted)) % 35.89/36.06 (define @t3 () (@var "A" $$unsorted)) % 35.89/36.06 (define @t4 () (tptp.r6_pboole @t3 @t2 @t1)) % 35.89/36.06 (define @t5 () (tptp.k1_closure3 @t3 @t1)) % 35.89/36.06 (define @t6 () (tptp.k1_closure3 @t3 @t2)) % 35.89/36.06 (define @t7 () (tptp.k7_relat_1 @t2 @t6)) % 35.89/36.06 (define @t8 () (= @t7 (tptp.k7_relat_1 @t1 @t5))) % 35.89/36.06 (define @t9 () (and (= @t6 @t5) @t8)) % 35.89/36.06 (define @t10 () (=> @t9 @t4)) % 35.89/36.06 (define @t11 () (tptp.m1_pboole @t1 @t3)) % 35.89/36.06 (define @t12 () (tptp.v2_relat_1 @t1)) % 35.89/36.06 (define @t13 () (and @t12 @t11)) % 35.89/36.06 (define @t14 () (=> @t13 @t10)) % 35.89/36.06 (define @t15 () (@list @t1)) % 35.89/36.06 (define @t16 () (forall @t15 @t14)) % 35.89/36.06 (define @t17 () (tptp.m1_pboole @t2 @t3)) % 35.89/36.06 (define @t18 () (tptp.v2_relat_1 @t2)) % 35.89/36.06 (define @t19 () (and @t18 @t17)) % 35.89/36.06 (define @t20 () (=> @t19 @t16)) % 35.89/36.06 (define @t21 () (@list @t2)) % 35.89/36.06 (define @t22 () (forall @t21 @t20)) % 35.89/36.06 (define @t23 () (tptp.v1_xboole_0 @t3)) % 35.89/36.06 (define @t24 () (not @t23)) % 35.89/36.06 (define @t25 () (=> @t24 @t22)) % 35.89/36.06 (define @t26 () (@list @t3)) % 35.89/36.06 (define @t27 () (forall @t26 @t25)) % 35.89/36.06 (define @t28 () (not @t27)) % 35.89/36.06 (define @t29 () (tptp.r2_hidden @t3 @t2)) % 35.89/36.06 (define @t30 () (@list @t3 @t2)) % 35.89/36.06 (define @t31 () (tptp.v1_fraenkel @t3)) % 35.89/36.06 (define @t32 () (tptp.v1_finset_1 @t3)) % 35.89/36.06 (define @t33 () (tptp.v1_funct_1 @t3)) % 35.89/36.06 (define @t34 () (tptp.v3_relat_1 @t2)) % 35.89/36.06 (define @t35 () (tptp.v2_funct_1 @t3)) % 35.89/36.06 (define @t36 () (tptp.v1_relat_1 @t3)) % 35.89/36.06 (define @t37 () (and @t36 @t33 @t35)) % 35.89/36.06 (define @t38 () (and @t36 @t23 @t33)) % 35.89/36.06 (define @t39 () (not @t18)) % 35.89/36.06 (define @t40 () (tptp.k3_xboole_0 @t3 @t2)) % 35.89/36.06 (define @t41 () (tptp.k1_funct_1 @t2 @t1)) % 35.89/36.06 (define @t42 () (tptp.v1_xboole_0 @t41)) % 35.89/36.06 (define @t43 () (tptp.r2_hidden @t1 @t3)) % 35.89/36.06 (define @t44 () (tptp.a_2_0_closure3 @t3 @t2)) % 35.89/36.06 (define @t45 () (forall @t15 (= (= @t1 @t6) (= @t1 @t44)))) % 35.89/36.06 (define @t46 () (forall @t21 (=> @t17 @t45))) % 35.89/36.06 (define @t47 () (=> @t24 @t46)) % 35.89/36.06 (define @t48 () (forall @t26 @t47)) % 35.89/36.06 (define @t49 () (tptp.k1_relat_1 @t2)) % 35.89/36.06 (define @t50 () (= @t17 (= @t49 @t3))) % 35.89/36.06 (define @t51 () (tptp.v1_funct_1 @t2)) % 35.89/36.06 (define @t52 () (tptp.v1_relat_1 @t2)) % 35.89/36.06 (define @t53 () (and @t52 @t51)) % 35.89/36.06 (define @t54 () (=> @t53 @t50)) % 35.89/36.06 (define @t55 () (forall @t30 @t54)) % 35.89/36.06 (define @t56 () (@var "D" $$unsorted)) % 35.89/36.06 (define @t57 () (@list @t56)) % 35.89/36.06 (define @t58 () (@list @t3 @t2 @t1)) % 35.89/36.06 (define @t59 () (forall @t58 (= (= @t1 @t40) (forall @t57 (= (tptp.r2_hidden @t56 @t1) (and (tptp.r2_hidden @t56 @t3) (tptp.r2_hidden @t56 @t2))))))) % 35.89/36.06 (define @t60 () (tptp.k7_relat_1 @t3 @t2)) % 35.89/36.06 (define @t61 () (tptp.v1_relat_1 @t60)) % 35.89/36.06 (define @t62 () (forall @t30 (=> @t36 @t61))) % 35.89/36.06 (define @t63 () (forall @t30 (=> @t17 @t53))) % 35.89/36.06 (define @t64 () (tptp.v1_finset_1 @t40)) % 35.89/36.06 (define @t65 () (and @t61 (tptp.v1_funct_1 @t60))) % 35.89/36.06 (define @t66 () (and @t36 @t33)) % 35.89/36.06 (define @t67 () (forall @t30 (=> @t66 @t65))) % 35.89/36.06 (define @t68 () (tptp.k1_funct_1 @t1 @t56)) % 35.89/36.06 (define @t69 () (not (= @t68 tptp.k1_xboole_0))) % 35.89/36.06 (define @t70 () (= @t3 @t56)) % 35.89/36.06 (define @t71 () (tptp.m1_subset_1 @t56 @t2)) % 35.89/36.06 (define @t72 () (and @t71 @t70 @t69)) % 35.89/36.06 (define @t73 () (exists @t57 @t72)) % 35.89/36.06 (define @t74 () (tptp.r2_hidden @t3 (tptp.a_2_0_closure3 @t2 @t1))) % 35.89/36.06 (define @t75 () (= @t74 @t73)) % 35.89/36.06 (define @t76 () (tptp.m1_pboole @t1 @t2)) % 35.89/36.06 (define @t77 () (tptp.v1_xboole_0 @t2)) % 35.89/36.06 (define @t78 () (not @t77)) % 35.89/36.06 (define @t79 () (and @t78 @t76)) % 35.89/36.06 (define @t80 () (=> @t79 @t75)) % 35.89/36.06 (define @t81 () (forall @t58 @t80)) % 35.89/36.06 (define @t82 () (tptp.k3_xboole_0 @t3 @t3)) % 35.89/36.06 (define @t83 () (forall @t30 (= @t82 @t3))) % 35.89/36.06 (define @t84 () (= @t4 (= @t2 @t1))) % 35.89/36.06 (define @t85 () (and @t17 @t11)) % 35.89/36.06 (define @t86 () (forall @t58 (=> @t85 @t84))) % 35.89/36.06 (define @t87 () (tptp.m1_subset_1 @t3 @t2)) % 35.89/36.06 (define @t88 () (forall @t30 (=> @t29 @t87))) % 35.89/36.06 (define @t89 () (= @t3 @t2)) % 35.89/36.06 (define @t90 () (tptp.k7_relat_1 @t1 @t3)) % 35.89/36.06 (define @t91 () (= (tptp.k1_funct_1 @t90 @t2) (tptp.k1_funct_1 @t1 @t2))) % 35.89/36.06 (define @t92 () (tptp.r2_hidden @t2 (tptp.k1_relat_1 @t90))) % 35.89/36.06 (define @t93 () (=> @t92 @t91)) % 35.89/36.06 (define @t94 () (tptp.v1_funct_1 @t1)) % 35.89/36.06 (define @t95 () (tptp.v1_relat_1 @t1)) % 35.89/36.06 (define @t96 () (and @t95 @t94)) % 35.89/36.06 (define @t97 () (forall @t58 (=> @t96 @t93))) % 35.89/36.06 (define @t98 () (= (tptp.k1_relat_1 (tptp.k7_relat_1 @t2 @t3)) (tptp.k3_xboole_0 @t49 @t3))) % 35.89/36.06 (define @t99 () (forall @t30 (=> @t52 @t98))) % 35.89/36.06 (define @t100 () (tptp.k1_funct_1 @t3 @t1)) % 35.89/36.06 (define @t101 () (tptp.k1_relat_1 @t3)) % 35.89/36.06 (define @t102 () (tptp.r2_hidden @t1 @t101)) % 35.89/36.06 (define @t103 () (=> @t102 (= @t100 @t41))) % 35.89/36.06 (define @t104 () (forall @t15 @t103)) % 35.89/36.06 (define @t105 () (and (= @t101 @t49) @t104)) % 35.89/36.06 (define @t106 () (=> @t105 @t89)) % 35.89/36.06 (define @t107 () (=> @t53 @t106)) % 35.89/36.06 (define @t108 () (forall @t21 @t107)) % 35.89/36.06 (define @t109 () (=> @t66 @t108)) % 35.89/36.06 (define @t110 () (forall @t26 @t109)) % 35.89/36.06 (define @t111 () (@var "BOUND_VARIABLE_8116" $$unsorted)) % 35.89/36.06 (define @t112 () (= @t3 @t111)) % 35.89/36.06 (define @t113 () (tptp.k1_funct_1 @t111 @t1)) % 35.89/36.06 (define @t114 () (not @t102)) % 35.89/36.06 (define @t115 () (or @t114 (= @t113 @t100))) % 35.89/36.06 (define @t116 () (forall @t15 @t115)) % 35.89/36.06 (define @t117 () (not @t116)) % 35.89/36.06 (define @t118 () (tptp.k1_relat_1 @t111)) % 35.89/36.06 (define @t119 () (not (= @t118 @t101))) % 35.89/36.06 (define @t120 () (not (tptp.v1_funct_1 @t111))) % 35.89/36.06 (define @t121 () (not (tptp.v1_relat_1 @t111))) % 35.89/36.06 (define @t122 () (not @t33)) % 35.89/36.06 (define @t123 () (not @t36)) % 35.89/36.06 (define @t124 () (or @t123 @t122 @t121 @t120 @t119 @t117 @t112)) % 35.89/36.06 (define @t125 () (or @t121 @t120 @t119 @t117 @t112)) % 35.89/36.06 (define @t126 () (or @t123 @t122 @t125)) % 35.89/36.06 (define @t127 () (forall (@list @t3 @t111) @t126)) % 35.89/36.06 (define @t128 () (@list @t111)) % 35.89/36.06 (define @t129 () (forall @t128 @t126)) % 35.89/36.06 (define @t130 () (forall @t128 @t125)) % 35.89/36.06 (define @t131 () (or @t123 @t122 @t130)) % 35.89/36.06 (define @t132 () (= @t41 @t100)) % 35.89/36.06 (define @t133 () (forall @t15 (or @t114 @t132))) % 35.89/36.06 (define @t134 () (not @t133)) % 35.89/36.06 (define @t135 () (= @t49 @t101)) % 35.89/36.06 (define @t136 () (not @t135)) % 35.89/36.06 (define @t137 () (not @t51)) % 35.89/36.06 (define @t138 () (not @t52)) % 35.89/36.06 (define @t139 () (or @t138 @t137 @t136 @t134 @t89)) % 35.89/36.06 (define @t140 () (forall @t21 @t139)) % 35.89/36.06 (define @t141 () (or @t123 @t122 @t140)) % 35.89/36.06 (define @t142 () (or @t123 @t122)) % 35.89/36.06 (define @t143 () (not @t66)) % 35.89/36.06 (define @t144 () (or @t136 @t134 @t89)) % 35.89/36.06 (define @t145 () (or @t138 @t137)) % 35.89/36.06 (define @t146 () (and @t135 @t133)) % 35.89/36.06 (define @t147 () (=> @t146 @t89)) % 35.89/36.06 (define @t148 () (not @t53)) % 35.89/36.06 (define @t149 () (@var "BOUND_VARIABLE_7736" $$unsorted)) % 35.89/36.06 (define @t150 () (@var "BOUND_VARIABLE_7734" $$unsorted)) % 35.89/36.06 (define @t151 () (tptp.r6_pboole @t3 @t150 @t149)) % 35.89/36.06 (define @t152 () (tptp.k1_closure3 @t3 @t149)) % 35.89/36.06 (define @t153 () (tptp.k1_closure3 @t3 @t150)) % 35.89/36.06 (define @t154 () (not (= (tptp.k7_relat_1 @t150 @t153) (tptp.k7_relat_1 @t149 @t152)))) % 35.89/36.06 (define @t155 () (not (= @t153 @t152))) % 35.89/36.06 (define @t156 () (not (tptp.m1_pboole @t149 @t3))) % 35.89/36.06 (define @t157 () (not (tptp.v2_relat_1 @t149))) % 35.89/36.06 (define @t158 () (not (tptp.m1_pboole @t150 @t3))) % 35.89/36.06 (define @t159 () (not (tptp.v2_relat_1 @t150))) % 35.89/36.06 (define @t160 () (or @t23 @t159 @t158 @t157 @t156 @t155 @t154 @t151)) % 35.89/36.06 (define @t161 () (@list @t3 @t150 @t149)) % 35.89/36.06 (define @t162 () (forall @t161 @t160)) % 35.89/36.06 (define @t163 () (@quantifiers_skolemize @t162 2)) % 35.89/36.06 (define @t164 () (@quantifiers_skolemize @t162 1)) % 35.89/36.06 (define @t165 () (= @t17 (= @t3 @t49))) % 35.89/36.06 (define @t166 () (@quantifiers_skolemize @t162 0)) % 35.89/36.06 (define @t167 () (@list @t166 @t163)) % 35.89/36.06 (define @t168 () (or @t159 @t158 @t157 @t156 @t155 @t154 @t151)) % 35.89/36.06 (define @t169 () (or @t23 @t168)) % 35.89/36.06 (define @t170 () (forall @t161 @t169)) % 35.89/36.06 (define @t171 () (@list @t150 @t149)) % 35.89/36.06 (define @t172 () (forall @t171 @t169)) % 35.89/36.06 (define @t173 () (forall @t171 @t168)) % 35.89/36.06 (define @t174 () (@var "BOUND_VARIABLE_7708" $$unsorted)) % 35.89/36.06 (define @t175 () (or @t23 @t173)) % 35.89/36.06 (define @t176 () (tptp.r6_pboole @t3 @t2 @t174)) % 35.89/36.06 (define @t177 () (tptp.k1_closure3 @t3 @t174)) % 35.89/36.06 (define @t178 () (not (= @t7 (tptp.k7_relat_1 @t174 @t177)))) % 35.89/36.06 (define @t179 () (not (tptp.m1_pboole @t174 @t3))) % 35.89/36.06 (define @t180 () (not (tptp.v2_relat_1 @t174))) % 35.89/36.06 (define @t181 () (not @t17)) % 35.89/36.06 (define @t182 () (@list @t2 @t174)) % 35.89/36.06 (define @t183 () (forall @t182 (or @t39 @t181 @t180 @t179 (not (= @t6 @t177)) @t178 @t176))) % 35.89/36.06 (define @t184 () (not @t24)) % 35.89/36.06 (define @t185 () (not (= @t177 @t6))) % 35.89/36.06 (define @t186 () (or @t39 @t181 @t180 @t179 @t185 @t178 @t176)) % 35.89/36.06 (define @t187 () (or @t180 @t179 @t185 @t178 @t176)) % 35.89/36.06 (define @t188 () (or @t39 @t181 @t187)) % 35.89/36.06 (define @t189 () (forall @t182 @t188)) % 35.89/36.06 (define @t190 () (@list @t174)) % 35.89/36.06 (define @t191 () (forall @t190 @t188)) % 35.89/36.06 (define @t192 () (forall @t190 @t187)) % 35.89/36.06 (define @t193 () (@list @t1)) % 35.89/36.06 (define @t194 () (or @t39 @t181 @t192)) % 35.89/36.06 (define @t195 () (not @t8)) % 35.89/36.06 (define @t196 () (= @t5 @t6)) % 35.89/36.06 (define @t197 () (not @t196)) % 35.89/36.06 (define @t198 () (not @t11)) % 35.89/36.06 (define @t199 () (not @t12)) % 35.89/36.06 (define @t200 () (or @t199 @t198 @t197 @t195 @t4)) % 35.89/36.06 (define @t201 () (forall @t15 @t200)) % 35.89/36.06 (define @t202 () (or @t39 @t181 @t201)) % 35.89/36.06 (define @t203 () (or @t197 @t195 @t4)) % 35.89/36.06 (define @t204 () (and @t196 @t8)) % 35.89/36.06 (define @t205 () (=> @t204 @t4)) % 35.89/36.06 (define @t206 () (tptp.m1_pboole @t163 @t166)) % 35.89/36.06 (define @t207 () (tptp.r6_pboole @t166 @t164 @t163)) % 35.89/36.06 (define @t208 () (tptp.k1_closure3 @t166 @t163)) % 35.89/36.06 (define @t209 () (tptp.k7_relat_1 @t163 @t208)) % 35.89/36.06 (define @t210 () (tptp.k1_closure3 @t166 @t164)) % 35.89/36.06 (define @t211 () (tptp.k7_relat_1 @t164 @t210)) % 35.89/36.06 (define @t212 () (= @t211 @t209)) % 35.89/36.06 (define @t213 () (not @t212)) % 35.89/36.06 (define @t214 () (= @t210 @t208)) % 35.89/36.06 (define @t215 () (not @t214)) % 35.89/36.06 (define @t216 () (not @t206)) % 35.89/36.06 (define @t217 () (tptp.m1_pboole @t164 @t166)) % 35.89/36.06 (define @t218 () (not @t217)) % 35.89/36.06 (define @t219 () (tptp.v1_xboole_0 @t166)) % 35.89/36.06 (define @t220 () (or @t219 (not (tptp.v2_relat_1 @t164)) @t218 (not (tptp.v2_relat_1 @t163)) @t216 @t215 @t213 @t207)) % 35.89/36.06 (define @t221 () (@list true)) % 35.89/36.06 (define @t222 () (@list @t220)) % 35.89/36.06 (define @t223 () (tptp.v1_funct_1 @t163)) % 35.89/36.06 (define @t224 () (tptp.v1_relat_1 @t163)) % 35.89/36.06 (define @t225 () (and @t224 @t223)) % 35.89/36.06 (define @t226 () (or @t216 @t225)) % 35.89/36.06 (define @t227 () (@list false false)) % 35.89/36.06 (define @t228 () (not @t225)) % 35.89/36.06 (define @t229 () (@list false)) % 35.89/36.06 (define @t230 () (@list @t225)) % 35.89/36.06 (define @t231 () (tptp.k1_relat_1 @t163)) % 35.89/36.06 (define @t232 () (= @t166 @t231)) % 35.89/36.06 (define @t233 () (= @t206 @t232)) % 35.89/36.06 (define @t234 () (not @t223)) % 35.89/36.06 (define @t235 () (not @t224)) % 35.89/36.06 (define @t236 () (or @t235 @t234 @t233)) % 35.89/36.06 (define @t237 () (@list false false false)) % 35.89/36.06 (define @t238 () (@list @t166 @t164)) % 35.89/36.06 (define @t239 () (tptp.v1_funct_1 @t164)) % 35.89/36.06 (define @t240 () (tptp.v1_relat_1 @t164)) % 35.89/36.06 (define @t241 () (and @t240 @t239)) % 35.89/36.06 (define @t242 () (or @t218 @t241)) % 35.89/36.06 (define @t243 () (not @t241)) % 35.89/36.06 (define @t244 () (@list @t241)) % 35.89/36.06 (define @t245 () (tptp.k1_relat_1 @t164)) % 35.89/36.06 (define @t246 () (= @t166 @t245)) % 35.89/36.06 (define @t247 () (= @t217 @t246)) % 35.89/36.06 (define @t248 () (not @t239)) % 35.89/36.06 (define @t249 () (not @t240)) % 35.89/36.06 (define @t250 () (or @t249 @t248 @t247)) % 35.89/36.06 (define @t251 () (= @t164 @t163)) % 35.89/36.06 (define @t252 () (= @t207 @t251)) % 35.89/36.06 (define @t253 () (or @t218 @t216 @t252)) % 35.89/36.06 (define @t254 () (not @t251)) % 35.89/36.06 (define @t255 () (@list true false)) % 35.89/36.06 (define @t256 () (tptp.k1_funct_1 @t164 @t1)) % 35.89/36.06 (define @t257 () (not (tptp.r2_hidden @t1 @t245))) % 35.89/36.06 (define @t258 () (forall @t15 (or @t257 (= @t256 (tptp.k1_funct_1 @t163 @t1))))) % 35.89/36.06 (define @t259 () (not @t258)) % 35.89/36.06 (define @t260 () (= @t245 @t231)) % 35.89/36.06 (define @t261 () (not @t260)) % 35.89/36.06 (define @t262 () (or @t249 @t248 @t235 @t234 @t261 @t259 @t251)) % 35.89/36.06 (define @t263 () (@quantifiers_skolemize @t258 0)) % 35.89/36.06 (define @t264 () (tptp.k1_funct_1 @t163 @t263)) % 35.89/36.06 (define @t265 () (tptp.k1_funct_1 @t164 @t263)) % 35.89/36.06 (define @t266 () (= @t265 @t264)) % 35.89/36.06 (define @t267 () (tptp.r2_hidden @t263 @t245)) % 35.89/36.06 (define @t268 () (not @t267)) % 35.89/36.06 (define @t269 () (or @t268 @t266)) % 35.89/36.06 (define @t270 () (not @t266)) % 35.89/36.06 (define @t271 () (@list @t269)) % 35.89/36.06 (define @t272 () (= tptp.k1_xboole_0 (tptp.k1_funct_1 @t1 @t3))) % 35.89/36.06 (define @t273 () (not @t272)) % 35.89/36.06 (define @t274 () (= @t74 (and @t87 @t273))) % 35.89/36.06 (define @t275 () (not @t76)) % 35.89/36.06 (define @t276 () (not @t87)) % 35.89/36.06 (define @t277 () (or @t276 @t272)) % 35.89/36.06 (define @t278 () (= @t74 (not @t277))) % 35.89/36.06 (define @t279 () (not (= @t3 @t3))) % 35.89/36.06 (define @t280 () (or @t276 @t279 @t272)) % 35.89/36.06 (define @t281 () (= tptp.k1_xboole_0 @t68)) % 35.89/36.06 (define @t282 () (not @t70)) % 35.89/36.06 (define @t283 () (not @t71)) % 35.89/36.06 (define @t284 () (or @t282 @t283 @t282 @t281)) % 35.89/36.06 (define @t285 () (or @t283 @t282 @t281)) % 35.89/36.06 (define @t286 () (not @t281)) % 35.89/36.06 (define @t287 () (not @t286)) % 35.89/36.06 (define @t288 () (or @t283 @t282 @t287)) % 35.89/36.06 (define @t289 () (and @t71 @t70 @t286)) % 35.89/36.06 (define @t290 () (forall @t57 (not @t289))) % 35.89/36.06 (define @t291 () (not @t290)) % 35.89/36.06 (define @t292 () (= tptp.k1_xboole_0 @t265)) % 35.89/36.06 (define @t293 () (not @t292)) % 35.89/36.06 (define @t294 () (tptp.m1_subset_1 @t263 @t166)) % 35.89/36.06 (define @t295 () (and @t294 @t293)) % 35.89/36.06 (define @t296 () (tptp.a_2_0_closure3 @t166 @t164)) % 35.89/36.06 (define @t297 () (tptp.r2_hidden @t263 @t296)) % 35.89/36.06 (define @t298 () (= @t297 @t295)) % 35.89/36.06 (define @t299 () (or @t219 @t218 @t298)) % 35.89/36.06 (define @t300 () (@list true false false)) % 35.89/36.06 (define @t301 () (tptp.k3_xboole_0 @t245 @t210)) % 35.89/36.06 (define @t302 () (forall @t57 (= (tptp.r2_hidden @t56 @t301) (and (tptp.r2_hidden @t56 @t245) (tptp.r2_hidden @t56 @t210))))) % 35.89/36.06 (define @t303 () (= (= @t301 @t301) @t302)) % 35.89/36.06 (define @t304 () (= (tptp.k1_relat_1 @t211) @t301)) % 35.89/36.06 (define @t305 () (or @t249 @t304)) % 35.89/36.06 (define @t306 () (tptp.k3_xboole_0 @t210 @t245)) % 35.89/36.06 (define @t307 () (= @t301 @t306)) % 35.89/36.06 (define @t308 () (tptp.r2_hidden @t263 @t301)) % 35.89/36.06 (define @t309 () (tptp.r2_hidden @t263 @t306)) % 35.89/36.06 (define @t310 () (tptp.k1_relat_1 @t209)) % 35.89/36.06 (define @t311 () (tptp.r2_hidden @t263 @t310)) % 35.89/36.06 (define @t312 () (and @t212 @t304 @t307 @t308)) % 35.89/36.06 (define @t313 () (= @t310 (tptp.k3_xboole_0 @t231 @t208))) % 35.89/36.06 (define @t314 () (or @t235 @t313)) % 35.89/36.06 (define @t315 () (= @t3 @t82)) % 35.89/36.06 (define @t316 () (tptp.k3_xboole_0 @t245 @t166)) % 35.89/36.06 (define @t317 () (tptp.k7_relat_1 @t164 @t166)) % 35.89/36.06 (define @t318 () (tptp.k1_relat_1 @t317)) % 35.89/36.06 (define @t319 () (= @t318 @t316)) % 35.89/36.06 (define @t320 () (or @t249 @t319)) % 35.89/36.06 (define @t321 () (@list @t164 @t166)) % 35.89/36.06 (define @t322 () (tptp.v1_relat_1 @t317)) % 35.89/36.06 (define @t323 () (or @t249 @t322)) % 35.89/36.06 (define @t324 () (tptp.k3_xboole_0 @t318 @t210)) % 35.89/36.06 (define @t325 () (tptp.k7_relat_1 @t317 @t210)) % 35.89/36.06 (define @t326 () (tptp.k1_relat_1 @t325)) % 35.89/36.06 (define @t327 () (= @t326 @t324)) % 35.89/36.06 (define @t328 () (not @t322)) % 35.89/36.06 (define @t329 () (or @t328 @t327)) % 35.89/36.06 (define @t330 () (tptp.k3_xboole_0 @t166 @t166)) % 35.89/36.06 (define @t331 () (= @t166 @t330)) % 35.89/36.06 (define @t332 () (tptp.r2_hidden @t263 @t326)) % 35.89/36.06 (define @t333 () (and @t214 @t212 @t246 @t232 @t304 @t313 @t307 @t331 @t308 @t319 @t327)) % 35.89/36.06 (define @t334 () (not @t92)) % 35.89/36.06 (define @t335 () (not @t94)) % 35.89/36.06 (define @t336 () (not @t95)) % 35.89/36.06 (define @t337 () (or @t336 @t335 @t334 @t91)) % 35.89/36.06 (define @t338 () (tptp.k1_funct_1 @t209 @t263)) % 35.89/36.06 (define @t339 () (not @t311)) % 35.89/36.06 (define @t340 () (or @t235 @t234 @t339 (= @t338 @t264))) % 35.89/36.06 (define @t341 () (forall @t58 @t337)) % 35.89/36.06 (define @t342 () (= @t264 @t338)) % 35.89/36.06 (define @t343 () (or @t235 @t234 @t339 @t342)) % 35.89/36.06 (define @t344 () (@list @t341)) % 35.89/36.06 (define @t345 () (tptp.v1_funct_1 @t317)) % 35.89/36.06 (define @t346 () (and @t322 @t345)) % 35.89/36.06 (define @t347 () (or @t249 @t248 @t346)) % 35.89/36.06 (define @t348 () (tptp.k1_funct_1 @t325 @t263)) % 35.89/36.06 (define @t349 () (tptp.k1_funct_1 @t317 @t263)) % 35.89/36.06 (define @t350 () (not @t332)) % 35.89/36.06 (define @t351 () (not @t345)) % 35.89/36.06 (define @t352 () (or @t328 @t351 @t350 (= @t348 @t349))) % 35.89/36.06 (define @t353 () (= @t349 @t348)) % 35.89/36.06 (define @t354 () (or @t328 @t351 @t350 @t353)) % 35.89/36.06 (define @t355 () (tptp.r2_hidden @t263 @t318)) % 35.89/36.06 (define @t356 () (not @t355)) % 35.89/36.06 (define @t357 () (or @t249 @t248 @t356 (= @t349 @t265))) % 35.89/36.06 (define @t358 () (= @t265 @t349)) % 35.89/36.06 (define @t359 () (or @t249 @t248 @t356 @t358)) % 35.89/36.06 (define @t360 () (forall @t15 (or @t257 (= @t256 (tptp.k1_funct_1 @t317 @t1))))) % 35.89/36.06 (define @t361 () (@quantifiers_skolemize @t360 0)) % 35.89/36.06 (define @t362 () (tptp.r2_hidden @t361 @t245)) % 35.89/36.06 (define @t363 () (tptp.k1_funct_1 @t317 @t361)) % 35.89/36.06 (define @t364 () (tptp.k1_funct_1 @t164 @t361)) % 35.89/36.06 (define @t365 () (= @t364 @t363)) % 35.89/36.06 (define @t366 () (not @t362)) % 35.89/36.06 (define @t367 () (or @t366 @t365)) % 35.89/36.06 (define @t368 () (tptp.r2_hidden @t361 @t318)) % 35.89/36.06 (define @t369 () (not @t368)) % 35.89/36.06 (define @t370 () (or @t249 @t248 @t369 (= @t363 @t364))) % 35.89/36.06 (define @t371 () (or @t249 @t248 @t369 @t365)) % 35.89/36.06 (define @t372 () (and @t246 @t331 @t319 @t362)) % 35.89/36.06 (define @t373 () (not @t367)) % 35.89/36.06 (define @t374 () (not @t360)) % 35.89/36.06 (define @t375 () (= @t164 @t317)) % 35.89/36.06 (define @t376 () (= @t245 @t318)) % 35.89/36.06 (define @t377 () (not @t376)) % 35.89/36.06 (define @t378 () (or @t249 @t248 @t328 @t351 @t377 @t374 @t375)) % 35.89/36.06 (define @t379 () (not @t353)) % 35.89/36.06 (define @t380 () (not @t342)) % 35.89/36.06 (define @t381 () (not @t375)) % 35.89/36.06 (define @t382 () (not @t358)) % 35.89/36.06 (define @t383 () (not @t270)) % 35.89/36.06 (define @t384 () (and @t212 @t270 @t358 @t375 @t342)) % 35.89/36.06 (define @t385 () (tptp.r2_hidden @t263 @t210)) % 35.89/36.06 (define @t386 () (and @t267 @t385)) % 35.89/36.06 (define @t387 () (= @t308 @t386)) % 35.89/36.06 (define @t388 () (not @t386)) % 35.89/36.06 (define @t389 () (not @t385)) % 35.89/36.06 (define @t390 () (@list false true)) % 35.89/36.06 (define @t391 () (@var "BOUND_VARIABLE_7859" $$unsorted)) % 35.89/36.06 (define @t392 () (tptp.a_2_0_closure3 @t3 @t391)) % 35.89/36.06 (define @t393 () (@var "BOUND_VARIABLE_7861" $$unsorted)) % 35.89/36.06 (define @t394 () (tptp.k1_closure3 @t3 @t391)) % 35.89/36.06 (define @t395 () (= (= @t394 @t393) (= @t392 @t393))) % 35.89/36.06 (define @t396 () (not (tptp.m1_pboole @t391 @t3))) % 35.89/36.06 (define @t397 () (or @t23 @t396 @t395)) % 35.89/36.06 (define @t398 () (or @t396 @t395)) % 35.89/36.06 (define @t399 () (or @t23 @t398)) % 35.89/36.06 (define @t400 () (@list @t3 @t391 @t393)) % 35.89/36.06 (define @t401 () (forall @t400 @t399)) % 35.89/36.06 (define @t402 () (@list @t391 @t393)) % 35.89/36.06 (define @t403 () (forall @t402 @t399)) % 35.89/36.06 (define @t404 () (forall @t402 @t398)) % 35.89/36.06 (define @t405 () (@var "BOUND_VARIABLE_7842" $$unsorted)) % 35.89/36.06 (define @t406 () (or @t23 @t404)) % 35.89/36.06 (define @t407 () (@list @t2 @t405)) % 35.89/36.06 (define @t408 () (forall @t407 (or @t181 (= (= @t6 @t405) (= @t44 @t405))))) % 35.89/36.06 (define @t409 () (= (= @t405 @t6) (= @t405 @t44))) % 35.89/36.06 (define @t410 () (or @t181 @t409)) % 35.89/36.06 (define @t411 () (forall @t407 @t410)) % 35.89/36.06 (define @t412 () (@list @t405)) % 35.89/36.06 (define @t413 () (forall @t412 @t410)) % 35.89/36.06 (define @t414 () (forall @t412 @t409)) % 35.89/36.06 (define @t415 () (or @t181 @t414)) % 35.89/36.06 (define @t416 () (= @t210 @t296)) % 35.89/36.06 (define @t417 () (= (= @t296 @t210) (= @t296 @t296))) % 35.89/36.06 (define @t418 () (or @t219 @t218 @t417)) % 35.89/36.06 (define @t419 () (forall @t400 (or @t23 @t396 (= (= @t393 @t394) (= @t393 @t392))))) % 35.89/36.06 (define @t420 () (or @t219 @t218 @t416)) % 35.89/36.06 (define @t421 () (@list @t419)) % 35.89/36.06 (define @t422 () (tptp.a_2_0_closure3 @t166 @t163)) % 35.89/36.06 (define @t423 () (= @t208 @t422)) % 35.89/36.06 (define @t424 () (= (= @t422 @t208) (= @t422 @t422))) % 35.89/36.06 (define @t425 () (or @t219 @t216 @t424)) % 35.89/36.06 (define @t426 () (or @t219 @t216 @t423)) % 35.89/36.06 (define @t427 () (not @t297)) % 35.89/36.06 (define @t428 () (not @t416)) % 35.89/36.06 (define @t429 () (not @t423)) % 35.89/36.06 (define @t430 () (not @t389)) % 35.89/36.06 (define @t431 () (tptp.r2_hidden @t263 @t422)) % 35.89/36.06 (define @t432 () (and @t214 @t423 @t416 @t389)) % 35.89/36.06 (define @t433 () (not @t295)) % 35.89/36.06 (define @t434 () (tptp.m1_subset_1 @t263 @t245)) % 35.89/36.06 (define @t435 () (or @t268 @t434)) % 35.89/36.06 (define @t436 () (not @t294)) % 35.89/36.06 (define @t437 () (= tptp.k1_xboole_0 @t264)) % 35.89/36.06 (define @t438 () (not @t437)) % 35.89/36.06 (define @t439 () (and @t294 @t438)) % 35.89/36.06 (define @t440 () (= @t431 @t439)) % 35.89/36.06 (define @t441 () (or @t219 @t216 @t440)) % 35.89/36.06 (define @t442 () (not @t431)) % 35.89/36.06 (define @t443 () (and @t214 @t423 @t389)) % 35.89/36.06 (define @t444 () (@list false false true)) % 35.89/36.06 (define @t445 () (not @t439)) % 35.89/36.06 (define @t446 () (and @t270 @t292)) % 35.89/36.06 (assume @p1 @t28) % 35.89/36.06 (assume @p2 (forall @t30 (=> @t29 (not (tptp.r2_hidden @t2 @t3))))) % 35.89/36.06 (assume @p3 (forall @t26 (=> @t23 @t31))) % 35.89/36.06 (assume @p4 (forall @t26 (=> @t23 @t32))) % 35.89/36.06 (assume @p5 (forall @t26 (=> @t23 @t33))) % 35.89/36.06 (assume @p6 (forall @t30 (=> @t17 (=> @t34 (tptp.v1_pre_circ @t2 @t3))))) % 35.89/36.06 (assume @p7 (forall @t26 (=> @t24 (forall @t21 (=> @t17 (=> @t18 (not @t34))))))) % 35.89/36.06 (assume @p8 (forall @t26 (=> @t38 @t37))) % 35.89/36.06 (assume @p9 (forall @t26 (=> @t24 (forall @t21 (=> @t17 (=> @t34 @t39)))))) % 35.89/36.06 (assume @p10 (forall @t30 (= @t40 (tptp.k3_xboole_0 @t2 @t3)))) % 35.89/36.06 (assume @p11 (forall @t30 (=> @t17 (= @t18 (forall @t15 (not (and @t43 @t42))))))) % 35.89/36.06 (assume @p12 @t48) % 35.89/36.06 (assume @p13 @t55) % 35.89/36.06 (assume @p14 @t59) % 35.89/36.06 (assume @p15 true) % 35.89/36.06 (assume @p16 @t62) % 35.89/36.06 (assume @p17 @t63) % 35.89/36.06 (assume @p18 (forall @t26 (exists @t21 @t17))) % 35.89/36.06 (assume @p19 (forall @t26 (exists @t21 (tptp.m1_subset_1 @t2 @t3)))) % 35.89/36.06 (assume @p20 (forall @t30 (=> (tptp.v1_finset_1 @t2) @t64))) % 35.89/36.06 (assume @p21 (forall @t30 (=> @t32 @t64))) % 35.89/36.06 (assume @p22 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 35.89/36.06 (assume @p23 (forall @t58 (=> (and @t24 @t18 @t17 (tptp.m1_subset_1 @t1 @t3)) (not @t42)))) % 35.89/36.06 (assume @p24 @t67) % 35.89/36.06 (assume @p25 @t81) % 35.89/36.06 (assume @p26 (forall @t58 (=> (and @t78 @t12 @t76) (= (tptp.r2_hidden @t3 (tptp.a_2_1_closure3 @t2 @t1)) @t73)))) % 35.89/36.06 (assume @p27 @t83) % 35.89/36.06 (assume @p28 (exists @t26 (and @t23 @t36 @t33 @t35 @t32 @t31))) % 35.89/36.06 (assume @p29 (exists @t26 (and @t24 @t32))) % 35.89/36.06 (assume @p30 (exists @t26 @t66)) % 35.89/36.06 (assume @p31 (exists @t26 (and @t36 (tptp.v3_relat_1 @t3) @t33))) % 35.89/36.06 (assume @p32 (exists @t26 @t23)) % 35.89/36.06 (assume @p33 (exists @t26 @t38)) % 35.89/36.06 (assume @p34 (forall @t26 (exists @t21 (and @t17 @t52 @t34 @t51)))) % 35.89/36.06 (assume @p35 (exists @t26 @t24)) % 35.89/36.06 (assume @p36 (exists @t26 @t37)) % 35.89/36.06 (assume @p37 (forall @t26 (exists @t21 (and @t17 @t52 @t18 @t51)))) % 35.89/36.06 (assume @p38 (exists @t26 (and @t36 (tptp.v2_relat_1 @t3) @t33))) % 35.89/36.06 (assume @p39 @t86) % 35.89/36.06 (assume @p40 (forall @t58 (=> @t85 (tptp.r6_pboole @t3 @t2 @t2)))) % 35.89/36.06 (assume @p41 (forall @t58 (=> @t85 (=> @t4 (tptp.r6_pboole @t3 @t1 @t2))))) % 35.89/36.06 (assume @p42 @t88) % 35.89/36.06 (assume @p43 (forall @t26 (= (tptp.k3_xboole_0 @t3 tptp.k1_xboole_0) tptp.k1_xboole_0))) % 35.89/36.06 (assume @p44 (forall @t30 (=> @t87 (or @t77 @t29)))) % 35.89/36.06 (assume @p45 (forall @t30 (=> (forall @t15 (= @t43 (tptp.r2_hidden @t1 @t2))) @t89))) % 35.89/36.06 (assume @p46 (forall @t26 (=> @t23 (= @t3 tptp.k1_xboole_0)))) % 35.89/36.06 (assume @p47 @t97) % 35.89/36.06 (assume @p48 (forall @t30 (not (and @t29 @t77)))) % 35.89/36.06 (assume @p49 (forall @t30 (not (and @t23 (not @t89) @t77)))) % 35.89/36.06 (assume @p50 @t99) % 35.89/36.06 (assume @p51 @t110) % 35.89/36.06 (step @p52 :rule refl :args (@t112)) % 35.89/36.06 (step @p53 :rule eq-symm :args (@t113 @t100)) % 35.89/36.06 (step @p54 :rule refl :args (@t114)) % 35.89/36.06 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t115)) % 35.89/36.06 (step @p56 :rule cong :premises (@p55) :args (@t116)) % 35.89/36.06 (step @p57 :rule cong :premises (@p56) :args (@t117)) % 35.89/36.06 (step @p58 :rule eq-symm :args (@t118 @t101)) % 35.89/36.06 (step @p59 :rule cong :premises (@p58) :args (@t119)) % 35.89/36.06 (step @p60 :rule refl :args (@t120)) % 35.89/36.06 (step @p61 :rule refl :args (@t121)) % 35.89/36.06 (step @p62 :rule refl :args (@t122)) % 35.89/36.06 (step @p63 :rule refl :args (@t123)) % 35.89/36.06 (step @p64 :rule nary_cong :premises (@p63 @p62 @p61 @p60 @p59 @p57 @p52) :args (@t124)) % 35.89/36.06 (step @p65 :rule aci_norm :args ((= @t126 @t124))) % 35.89/36.06 (step @p66 :rule trans :premises (@p65 @p64)) % 35.89/36.06 (step @p67 :rule cong :premises (@p66) :args (@t127)) % 35.89/36.06 (step @p68 :rule quant-merge-prenex :args ((= (forall @t26 @t129) @t127))) % 35.89/36.06 (step @p69 :rule alpha_equiv :args (@t130 (@list @t111) (@list @t2))) % 35.89/36.06 (step @p70 :rule refl :args (@t122)) % 35.89/36.06 (step @p71 :rule refl :args (@t123)) % 35.89/36.06 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69) :args (@t131)) % 35.89/36.06 (step @p73 :rule quant-miniscope-or :args ((= @t129 @t131))) % 35.89/36.06 (step @p74 :rule trans :premises (@p73 @p72)) % 35.89/36.06 (step @p75 :rule symm :premises (@p74)) % 35.89/36.06 (step @p76 :rule cong :premises (@p75) :args ((forall @t26 @t141))) % 35.89/36.06 (step @p77 :rule trans :premises (@p76 @p68)) % 35.89/36.06 (step @p78 :rule trans :premises (@p77 @p67)) % 35.89/36.06 (step @p79 :rule aci_norm :args ((= (or @t142 @t140) @t141))) % 35.89/36.06 (step @p80 :rule refl :args (@t140)) % 35.89/36.06 (step @p81 :rule bool-and-de-morgan :args (@t36 @t33 true)) % 35.89/36.06 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t143 @t140))) % 35.89/36.06 (step @p83 :rule trans :premises (@p82 @p79)) % 35.89/36.06 (step @p84 :rule bool-impl-elim :args (@t66 @t140)) % 35.89/36.06 (step @p85 :rule trans :premises (@p84 @p83)) % 35.89/36.06 (step @p86 :rule cong :premises (@p85) :args ((forall @t26 (=> @t66 @t140)))) % 35.89/36.06 (step @p87 :rule trans :premises (@p86 @p78)) % 35.89/36.06 (step @p88 :rule aci_norm :args ((= (or @t145 @t144) @t139))) % 35.89/36.06 (step @p89 :rule aci_norm :args ((= (or (or @t136 @t134) @t89) @t144))) % 35.89/36.06 (step @p90 :rule refl :args (@t89)) % 35.89/36.06 (step @p91 :rule bool-and-de-morgan :args (@t135 @t133 true)) % 35.89/36.06 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or (not @t146) @t89))) % 35.89/36.06 (step @p93 :rule trans :premises (@p92 @p89)) % 35.89/36.06 (step @p94 :rule bool-impl-elim :args (@t146 @t89)) % 35.89/36.06 (step @p95 :rule trans :premises (@p94 @p93)) % 35.89/36.06 (step @p96 :rule bool-and-de-morgan :args (@t52 @t51 true)) % 35.89/36.06 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t148 @t147))) % 35.89/36.06 (step @p98 :rule trans :premises (@p97 @p88)) % 35.89/36.06 (step @p99 :rule bool-impl-elim :args (@t53 @t147)) % 35.89/36.06 (step @p100 :rule trans :premises (@p99 @p98)) % 35.89/36.06 (step @p101 :rule cong :premises (@p100) :args ((forall @t21 (=> @t53 @t147)))) % 35.89/36.06 (step @p102 :rule refl :args (@t89)) % 35.89/36.06 (step @p103 :rule bool-impl-elim :args (@t102 @t132)) % 35.89/36.06 (step @p104 :rule cong :premises (@p103) :args ((forall @t15 (=> @t102 @t132)))) % 35.89/36.06 (step @p105 :rule eq-symm :args (@t100 @t41)) % 35.89/36.06 (step @p106 :rule refl :args (@t102)) % 35.89/36.06 (step @p107 :rule cong :premises (@p106 @p105) :args (@t103)) % 35.89/36.06 (step @p108 :rule cong :premises (@p107) :args (@t104)) % 35.89/36.06 (step @p109 :rule trans :premises (@p108 @p104)) % 35.89/36.06 (step @p110 :rule eq-symm :args (@t101 @t49)) % 35.89/36.06 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t105)) % 35.89/36.06 (step @p112 :rule cong :premises (@p111 @p102) :args (@t106)) % 35.89/36.06 (step @p113 :rule refl :args (@t53)) % 35.89/36.06 (step @p114 :rule cong :premises (@p113 @p112) :args (@t107)) % 35.89/36.06 (step @p115 :rule cong :premises (@p114) :args (@t108)) % 35.89/36.06 (step @p116 :rule trans :premises (@p115 @p101)) % 35.89/36.06 (step @p117 :rule refl :args (@t66)) % 35.89/36.06 (step @p118 :rule cong :premises (@p117 @p116) :args (@t109)) % 35.89/36.06 (step @p119 :rule cong :premises (@p118) :args (@t110)) % 35.89/36.06 (step @p120 :rule trans :premises (@p119 @p87)) % 35.89/36.06 (step @p121 :rule eq_resolve :premises (@p51 @p120)) % 35.89/36.06 (step @p122 :rule instantiate :premises (@p121) :args ((@list @t164 @t163))) % 35.89/36.06 (step @p123 :rule aci_norm :args ((= (or @t145 @t165) (or @t138 @t137 @t165)))) % 35.89/36.06 (step @p124 :rule refl :args (@t165)) % 35.89/36.06 (step @p125 :rule nary_cong :premises (@p96 @p124) :args ((or @t148 @t165))) % 35.89/36.06 (step @p126 :rule trans :premises (@p125 @p123)) % 35.89/36.06 (step @p127 :rule bool-impl-elim :args (@t53 @t165)) % 35.89/36.06 (step @p128 :rule trans :premises (@p127 @p126)) % 35.89/36.06 (step @p129 :rule cong :premises (@p128) :args ((forall @t30 (=> @t53 @t165)))) % 35.89/36.06 (step @p130 :rule eq-symm :args (@t49 @t3)) % 35.89/36.06 (step @p131 :rule refl :args (@t17)) % 35.89/36.06 (step @p132 :rule cong :premises (@p131 @p130) :args (@t50)) % 35.89/36.06 (step @p133 :rule cong :premises (@p113 @p132) :args (@t54)) % 35.89/36.06 (step @p134 :rule cong :premises (@p133) :args (@t55)) % 35.89/36.06 (step @p135 :rule trans :premises (@p134 @p129)) % 35.89/36.06 (step @p136 :rule eq_resolve :premises (@p13 @p135)) % 35.89/36.06 (step @p137 :rule instantiate :premises (@p136) :args (@t167)) % 35.89/36.06 (step @p138 :rule bool-impl-elim :args (@t17 @t53)) % 35.89/36.06 (step @p139 :rule cong :premises (@p138) :args (@t63)) % 35.89/36.06 (step @p140 :rule eq_resolve :premises (@p17 @p139)) % 35.89/36.06 (step @p141 :rule instantiate :premises (@p140) :args (@t167)) % 35.89/36.06 (step @p142 :rule aci_norm :args ((= @t169 @t160))) % 35.89/36.06 (step @p143 :rule cong :premises (@p142) :args (@t170)) % 35.89/36.06 (step @p144 :rule quant-merge-prenex :args ((= (forall @t26 @t172) @t170))) % 35.89/36.06 (step @p145 :rule alpha_equiv :args (@t173 (@list @t150 @t149) (@list @t2 @t174))) % 35.89/36.06 (step @p146 :rule refl :args (@t23)) % 35.89/36.06 (step @p147 :rule nary_cong :premises (@p146 @p145) :args (@t175)) % 35.89/36.06 (step @p148 :rule quant-miniscope-or :args ((= @t172 @t175))) % 35.89/36.06 (step @p149 :rule trans :premises (@p148 @p147)) % 35.89/36.06 (step @p150 :rule symm :premises (@p149)) % 35.89/36.06 (step @p151 :rule cong :premises (@p150) :args ((forall @t26 (or @t23 @t183)))) % 35.89/36.06 (step @p152 :rule trans :premises (@p151 @p144)) % 35.89/36.06 (step @p153 :rule trans :premises (@p152 @p143)) % 35.89/36.06 (step @p154 :rule refl :args (@t183)) % 35.89/36.06 (step @p155 :rule bool-double-not-elim :args (@t23)) % 35.89/36.06 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or @t184 @t183))) % 35.89/36.06 (step @p157 :rule bool-impl-elim :args (@t24 @t183)) % 35.89/36.06 (step @p158 :rule trans :premises (@p157 @p156)) % 35.89/36.06 (step @p159 :rule cong :premises (@p158) :args ((forall @t26 (=> @t24 @t183)))) % 35.89/36.06 (step @p160 :rule trans :premises (@p159 @p153)) % 35.89/36.06 (step @p161 :rule refl :args (@t176)) % 35.89/36.06 (step @p162 :rule refl :args (@t178)) % 35.89/36.06 (step @p163 :rule eq-symm :args (@t177 @t6)) % 35.89/36.06 (step @p164 :rule cong :premises (@p163) :args (@t185)) % 35.89/36.06 (step @p165 :rule refl :args (@t179)) % 35.89/36.06 (step @p166 :rule refl :args (@t180)) % 35.89/36.06 (step @p167 :rule refl :args (@t181)) % 35.89/36.06 (step @p168 :rule refl :args (@t39)) % 35.89/36.06 (step @p169 :rule nary_cong :premises (@p168 @p167 @p166 @p165 @p164 @p162 @p161) :args (@t186)) % 35.89/36.06 (step @p170 :rule aci_norm :args ((= @t188 @t186))) % 35.89/36.06 (step @p171 :rule trans :premises (@p170 @p169)) % 35.89/36.06 (step @p172 :rule cong :premises (@p171) :args (@t189)) % 35.89/36.06 (step @p173 :rule quant-merge-prenex :args ((= (forall @t21 @t191) @t189))) % 35.89/36.06 (step @p174 :rule alpha_equiv :args (@t192 (@list @t174) @t193)) % 35.89/36.06 (step @p175 :rule refl :args (@t181)) % 35.89/36.06 (step @p176 :rule refl :args (@t39)) % 35.89/36.06 (step @p177 :rule nary_cong :premises (@p176 @p175 @p174) :args (@t194)) % 35.89/36.06 (step @p178 :rule quant-miniscope-or :args ((= @t191 @t194))) % 35.89/36.06 (step @p179 :rule trans :premises (@p178 @p177)) % 35.89/36.06 (step @p180 :rule symm :premises (@p179)) % 35.89/36.06 (step @p181 :rule cong :premises (@p180) :args ((forall @t21 @t202))) % 35.89/36.06 (step @p182 :rule trans :premises (@p181 @p173)) % 35.89/36.06 (step @p183 :rule trans :premises (@p182 @p172)) % 35.89/36.06 (step @p184 :rule aci_norm :args ((= (or (or @t39 @t181) @t201) @t202))) % 35.89/36.06 (step @p185 :rule refl :args (@t201)) % 35.89/36.06 (step @p186 :rule bool-and-de-morgan :args (@t18 @t17 true)) % 35.89/36.06 (step @p187 :rule nary_cong :premises (@p186 @p185) :args ((or (not @t19) @t201))) % 35.89/36.06 (step @p188 :rule trans :premises (@p187 @p184)) % 35.89/36.06 (step @p189 :rule bool-impl-elim :args (@t19 @t201)) % 35.89/36.06 (step @p190 :rule trans :premises (@p189 @p188)) % 35.89/36.06 (step @p191 :rule cong :premises (@p190) :args ((forall @t21 (=> @t19 @t201)))) % 35.89/36.06 (step @p192 :rule trans :premises (@p191 @p183)) % 35.89/36.06 (step @p193 :rule aci_norm :args ((= (or (or @t199 @t198) @t203) @t200))) % 35.89/36.06 (step @p194 :rule aci_norm :args ((= (or (or @t197 @t195) @t4) @t203))) % 35.89/36.06 (step @p195 :rule refl :args (@t4)) % 35.89/36.06 (step @p196 :rule bool-and-de-morgan :args (@t196 @t8 true)) % 35.89/36.06 (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((or (not @t204) @t4))) % 35.89/36.06 (step @p198 :rule trans :premises (@p197 @p194)) % 35.89/36.06 (step @p199 :rule bool-impl-elim :args (@t204 @t4)) % 35.89/36.06 (step @p200 :rule trans :premises (@p199 @p198)) % 35.89/36.06 (step @p201 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 35.89/36.06 (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or (not @t13) @t205))) % 35.89/36.06 (step @p203 :rule trans :premises (@p202 @p193)) % 35.89/36.06 (step @p204 :rule bool-impl-elim :args (@t13 @t205)) % 35.89/36.06 (step @p205 :rule trans :premises (@p204 @p203)) % 35.89/36.06 (step @p206 :rule cong :premises (@p205) :args ((forall @t15 (=> @t13 @t205)))) % 35.89/36.06 (step @p207 :rule refl :args (@t4)) % 35.89/36.06 (step @p208 :rule refl :args (@t8)) % 35.89/36.06 (step @p209 :rule eq-symm :args (@t6 @t5)) % 35.89/36.06 (step @p210 :rule nary_cong :premises (@p209 @p208) :args (@t9)) % 35.89/36.06 (step @p211 :rule cong :premises (@p210 @p207) :args (@t10)) % 35.89/36.06 (step @p212 :rule refl :args (@t13)) % 35.89/36.06 (step @p213 :rule cong :premises (@p212 @p211) :args (@t14)) % 35.89/36.06 (step @p214 :rule cong :premises (@p213) :args (@t16)) % 35.89/36.06 (step @p215 :rule trans :premises (@p214 @p206)) % 35.89/36.06 (step @p216 :rule refl :args (@t19)) % 35.89/36.06 (step @p217 :rule cong :premises (@p216 @p215) :args (@t20)) % 35.89/36.06 (step @p218 :rule cong :premises (@p217) :args (@t22)) % 35.89/36.06 (step @p219 :rule trans :premises (@p218 @p192)) % 35.89/36.06 (step @p220 :rule refl :args (@t24)) % 35.89/36.06 (step @p221 :rule cong :premises (@p220 @p219) :args (@t25)) % 35.89/36.06 (step @p222 :rule cong :premises (@p221) :args (@t27)) % 35.89/36.06 (step @p223 :rule trans :premises (@p222 @p160)) % 35.89/36.06 (step @p224 :rule cong :premises (@p223) :args (@t28)) % 35.89/36.06 (step @p225 :rule eq_resolve :premises (@p1 @p224)) % 35.89/36.06 (step @p226 :rule skolemize :premises (@p225)) % 35.89/36.06 (step @p227 :rule bool-double-not-elim :args (@t206)) % 35.89/36.06 (step @p228 :rule refl :args (@t220)) % 35.89/36.06 (step @p229 :rule nary_cong :premises (@p228 @p227) :args ((or @t220 (not @t216)))) % 35.89/36.06 (step @p230 :rule cnf_or_neg :args (@t220 4)) % 35.89/36.06 (step @p231 :rule eq_resolve :premises (@p230 @p229)) % 35.89/36.06 (step @p232 :rule reordering :premises (@p231) :args ((or @t206 @t220))) % 35.89/36.06 (step @p233 :rule chain_m_resolution :premises (@p232 @p226) :args (@t206 @t221 @t222)) % 35.89/36.06 (step @p234 :rule cnf_or_pos :args (@t226)) % 35.89/36.06 (step @p235 :rule reordering :premises (@p234) :args ((or @t216 @t225 (not @t226)))) % 35.89/36.06 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p141) :args (@t225 @t227 (@list @t206 @t226))) % 35.89/36.06 (step @p237 :rule cnf_and_pos :args (@t225 1)) % 35.89/36.06 (step @p238 :rule reordering :premises (@p237) :args ((or @t223 @t228))) % 35.89/36.06 (step @p239 :rule chain_m_resolution :premises (@p238 @p236) :args (@t223 @t229 @t230)) % 35.89/36.06 (step @p240 :rule cnf_and_pos :args (@t225 0)) % 35.89/36.06 (step @p241 :rule reordering :premises (@p240) :args ((or @t224 @t228))) % 35.89/36.06 (step @p242 :rule chain_m_resolution :premises (@p241 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(step @p833 :rule symm :premises (@p816)) % 35.89/36.06 (step @p834 :rule trans :premises (@p833 @p832)) % 35.89/36.06 (step @p835 :rule cong :premises (@p412 @p834) :args (@t431)) % 35.89/36.06 (step @p894 :rule trans :premises (@p835 @p893)) % 35.89/36.06 (step @p895 :rule false_elim :premises (@p894)) % 35.89/36.06 (step-pop @p1081 :rule scope :premises (@p895)) % 35.89/36.06 (step-pop @p1082 :rule scope :premises (@p1081)) % 35.89/36.06 (step-pop @p1083 :rule scope :premises (@p1082)) % 35.89/36.06 (step @p896 :rule process_scope :premises (@p1083) :args (@t442)) % 35.89/36.06 (step @p900 :rule and_intro :premises (@p1077 @p440 @p816)) % 35.89/36.06 (step @p901 :rule modus_ponens :premises (@p900 @p896)) % 35.89/36.06 (step-pop @p1084 :rule scope :premises (@p901)) % 35.89/36.06 (step-pop @p1085 :rule scope :premises (@p1084)) % 35.89/36.06 (step-pop @p1086 :rule scope :premises (@p1085)) % 35.89/36.06 (step @p902 :rule process_scope :premises (@p1086) :args (@t442)) % 35.89/36.06 (step @p906 :rule implies_elim :premises (@p902)) % 35.89/36.06 (step @p907 :rule cnf_and_neg :args (@t443)) % 35.89/36.06 (step @p908 :rule resolution :premises (@p907 @p906) :args (true @t443)) % 35.89/36.06 (step @p909 :rule eq_resolve :premises (@p908 @p886)) % 35.89/36.06 (step @p910 :rule reordering :premises (@p909) :args ((or @t215 @t442 @t429 @t385))) % 35.89/36.06 (step @p911 :rule chain_m_resolution :premises (@p910 @p440 @p816 @p733) :args (@t442 @t444 (@list @t214 @t423 @t385))) % 35.89/36.06 (step @p912 :rule cnf_equiv_pos2 :args (@t440)) % 35.89/36.06 (step @p913 :rule reordering :premises (@p912) :args ((or @t431 @t445 (not @t440)))) % 35.89/36.06 (step @p914 :rule chain_m_resolution :premises (@p913 @p911 @p884) :args (@t445 @t255 (@list @t431 @t440))) % 35.89/36.06 (step @p915 :rule bool-double-not-elim :args (@t437)) % 35.89/36.06 (step @p916 :rule refl :args (@t439)) % 35.89/36.06 (step @p917 :rule nary_cong :premises (@p916 @p874 @p915) :args ((or @t439 @t436 (not @t438)))) % 35.89/36.06 (step @p918 :rule cnf_and_neg :args (@t439)) % 35.89/36.06 (step @p919 :rule eq_resolve :premises (@p918 @p917)) % 35.89/36.06 (step @p920 :rule reordering :premises (@p919) :args ((or @t437 @t439 @t436))) % 35.89/36.06 (step @p921 :rule chain_m_resolution :premises (@p920 @p914 @p872) :args (@t437 @t255 (@list @t439 @t294))) % 35.89/36.06 (step @p922 :rule refl :args (@t438)) % 35.89/36.06 (step @p923 :rule refl :args (@t293)) % 35.89/36.06 (step @p924 :rule nary_cong :premises (@p683 @p923 @p922) :args ((or @t383 @t293 @t438))) % 35.89/36.06 (assume-push @p1087 @t270) % 35.89/36.06 (assume-push @p1088 @t292) % 35.89/36.06 (assume-push @p1089 @t270) % 35.89/36.06 (assume-push @p1090 @t292) % 35.89/36.06 (step @p696 :rule false_intro :premises (@p297)) % 35.89/36.06 (step @p929 :rule refl :args (@t264)) % 35.89/36.06 (step @p930 :rule cong :premises (@p1088 @p929) :args (@t437)) % 35.89/36.06 (step @p931 :rule trans :premises (@p930 @p696)) % 35.89/36.06 (step @p932 :rule false_elim :premises (@p931)) % 35.89/36.06 (step-pop @p1091 :rule scope :premises (@p932)) % 35.89/36.06 (step-pop @p1092 :rule scope :premises (@p1091)) % 35.89/36.06 (step @p933 :rule process_scope :premises (@p1092) :args (@t438)) % 35.89/36.06 (step @p936 :rule and_intro :premises (@p297 @p1088)) % 35.89/36.06 (step @p937 :rule modus_ponens :premises (@p936 @p933)) % 35.89/36.06 (step-pop @p1093 :rule scope :premises (@p937)) % 35.89/36.06 (step-pop @p1094 :rule scope :premises (@p1093)) % 35.89/36.06 (step @p938 :rule process_scope :premises (@p1094) :args (@t438)) % 35.89/36.06 (step @p941 :rule implies_elim :premises (@p938)) % 35.89/36.06 (step @p942 :rule cnf_and_neg :args (@t446)) % 35.89/36.06 (step @p943 :rule resolution :premises (@p942 @p941) :args (true @t446)) % 35.89/36.06 (step @p944 :rule eq_resolve :premises (@p943 @p924)) % 35.89/36.06 (step @p945 :rule reordering :premises (@p944) :args ((or @t266 @t438 @t293))) % 35.89/36.06 (step @p946 false :rule chain_m_resolution :premises (@p945 @p921 @p880 @p297) :args (false @t444 (@list @t437 @t292 @t266))) % 35.89/36.06 ) % 35.89/36.06 % SZS output end Proof % 35.89/36.06 % cvc5 exiting %------------------------------------------------------------------------------