%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU427+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 : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:44 AM UTC 2026 % Result : Theorem 0.24s 0.53s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU427+1 : TPTP v9.2.1. Released v3.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 17:22:18 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.24/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.24/0.53 % SZS status Theorem % 0.24/0.53 % SZS output start Proof % 0.24/0.53 ( % 0.24/0.53 (declare-sort $$unsorted 0) % 0.24/0.53 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.53 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.24/0.53 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.24/0.53 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.24/0.53 (declare-const tptp.m1_eqrel_1 (-> $$unsorted $$unsorted Bool)) % 0.24/0.53 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.24/0.53 (declare-const tptp.k8_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.24/0.53 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.24/0.53 (declare-const tptp.k7_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.24/0.53 (declare-const tptp.k4_subset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.24/0.53 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.24/0.53 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.24/0.53 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.24/0.53 (declare-const tptp.k3_pua2mss1 (-> $$unsorted $$unsorted)) % 0.24/0.53 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.24/0.53 (declare-const tptp.k6_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.24/0.53 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.24/0.53 (declare-const tptp.k5_relset_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.53 (declare-const tptp.k8_setfam_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.53 (declare-const tptp.k4_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.24/0.53 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 0.24/0.53 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.53 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.24/0.53 (declare-const tptp.k2_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 0.24/0.53 (define @t1 () (@var "E" $$unsorted)) % 0.24/0.53 (define @t2 () (@var "D" $$unsorted)) % 0.24/0.53 (define @t3 () (@var "B" $$unsorted)) % 0.24/0.53 (define @t4 () (@var "A" $$unsorted)) % 0.24/0.53 (define @t5 () (@var "C" $$unsorted)) % 0.24/0.53 (define @t6 () (tptp.k4_subset_1 @t4 @t5 @t2)) % 0.24/0.53 (define @t7 () (= (tptp.k8_relset_2 @t4 @t3 @t6 @t1) (tptp.k8_relset_2 @t4 @t3 @t2 @t1))) % 0.24/0.53 (define @t8 () (tptp.k3_pua2mss1 @t5)) % 0.24/0.53 (define @t9 () (tptp.k1_zfmisc_1 @t4)) % 0.24/0.53 (define @t10 () (tptp.k4_relset_2 @t9 @t3 (tptp.k6_relset_2 @t3 @t4 @t1) @t8)) % 0.24/0.53 (define @t11 () (=> (= @t10 tptp.k1_xboole_0) @t7)) % 0.24/0.53 (define @t12 () (tptp.k2_zfmisc_1 @t4 @t3)) % 0.24/0.53 (define @t13 () (tptp.k1_zfmisc_1 @t12)) % 0.24/0.53 (define @t14 () (tptp.m1_subset_1 @t1 @t13)) % 0.24/0.53 (define @t15 () (=> @t14 @t11)) % 0.24/0.53 (define @t16 () (@list @t1)) % 0.24/0.53 (define @t17 () (forall @t16 @t15)) % 0.24/0.53 (define @t18 () (tptp.m1_subset_1 @t2 @t9)) % 0.24/0.53 (define @t19 () (=> @t18 @t17)) % 0.24/0.53 (define @t20 () (@list @t2)) % 0.24/0.53 (define @t21 () (forall @t20 @t19)) % 0.24/0.53 (define @t22 () (tptp.m1_subset_1 @t5 @t9)) % 0.24/0.53 (define @t23 () (=> @t22 @t21)) % 0.24/0.53 (define @t24 () (@list @t4 @t3 @t5)) % 0.24/0.53 (define @t25 () (forall @t24 @t23)) % 0.24/0.53 (define @t26 () (not @t25)) % 0.24/0.53 (define @t27 () (tptp.r2_hidden @t4 @t3)) % 0.24/0.53 (define @t28 () (@list @t4 @t3)) % 0.24/0.53 (define @t29 () (tptp.v1_relat_1 @t4)) % 0.24/0.53 (define @t30 () (tptp.v1_xboole_0 @t4)) % 0.24/0.53 (define @t31 () (@list @t4)) % 0.24/0.53 (define @t32 () (tptp.v1_relat_1 @t5)) % 0.24/0.53 (define @t33 () (tptp.m1_subset_1 @t5 @t13)) % 0.24/0.53 (define @t34 () (forall @t24 (=> @t33 @t32))) % 0.24/0.53 (define @t35 () (tptp.k2_xboole_0 @t4 @t3)) % 0.24/0.53 (define @t36 () (tptp.k4_subset_1 @t4 @t3 @t5)) % 0.24/0.53 (define @t37 () (tptp.m1_subset_1 @t3 @t9)) % 0.24/0.53 (define @t38 () (and @t37 @t22)) % 0.24/0.53 (define @t39 () (tptp.k7_relset_2 @t4 @t3 @t5 @t2)) % 0.24/0.53 (define @t40 () (= @t39 (tptp.k8_setfam_1 @t3 (tptp.k4_relset_2 @t9 @t3 (tptp.k6_relset_2 @t3 @t4 @t2) @t8)))) % 0.24/0.53 (define @t41 () (tptp.m1_subset_1 @t2 @t13)) % 0.24/0.53 (define @t42 () (forall @t20 (=> @t41 @t40))) % 0.24/0.53 (define @t43 () (=> @t22 @t42)) % 0.24/0.53 (define @t44 () (forall @t24 @t43)) % 0.24/0.53 (define @t45 () (tptp.k3_pua2mss1 @t4)) % 0.24/0.53 (define @t46 () (tptp.k1_zfmisc_1 @t3)) % 0.24/0.53 (define @t47 () (tptp.k4_relset_2 @t4 @t3 @t5 @t2)) % 0.24/0.53 (define @t48 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t4 @t46)))) % 0.24/0.53 (define @t49 () (@list @t4 @t3 @t5 @t2)) % 0.24/0.53 (define @t50 () (tptp.m1_subset_1 @t36 @t9)) % 0.24/0.53 (define @t51 () (forall @t24 (=> @t38 @t50))) % 0.24/0.53 (define @t52 () (tptp.k5_relset_2 @t4 @t3)) % 0.24/0.53 (define @t53 () (and (tptp.v1_relat_1 @t52) (tptp.v1_funct_1 @t52))) % 0.24/0.53 (define @t54 () (tptp.v1_relat_1 @t3)) % 0.24/0.53 (define @t55 () (forall @t28 (=> @t54 @t53))) % 0.24/0.53 (define @t56 () (tptp.k6_relset_2 @t4 @t3 @t5)) % 0.24/0.53 (define @t57 () (and (tptp.v1_funct_1 @t56) (tptp.v1_funct_2 @t56 @t46 @t9) (tptp.m2_relset_1 @t56 @t46 @t9))) % 0.24/0.53 (define @t58 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t3 @t4)))) % 0.24/0.53 (define @t59 () (forall @t24 (=> @t58 @t57))) % 0.24/0.53 (define @t60 () (tptp.k8_relset_2 @t4 @t3 @t5 @t2)) % 0.24/0.53 (define @t61 () (and @t22 @t41)) % 0.24/0.53 (define @t62 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t9))) % 0.24/0.53 (define @t63 () (tptp.m1_eqrel_1 @t3 @t4)) % 0.24/0.53 (define @t64 () (tptp.m2_relset_1 @t5 @t4 @t3)) % 0.24/0.53 (define @t65 () (forall @t24 (=> @t64 @t33))) % 0.24/0.53 (define @t66 () (@list @t3)) % 0.24/0.53 (define @t67 () (tptp.m1_relset_1 @t5 @t4 @t3)) % 0.24/0.53 (define @t68 () (@list @t5)) % 0.24/0.53 (define @t69 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 0.24/0.53 (define @t70 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.24/0.53 (define @t71 () (tptp.v1_xboole_0 @t3)) % 0.24/0.53 (define @t72 () (not @t71)) % 0.24/0.53 (define @t73 () (not @t30)) % 0.24/0.53 (define @t74 () (= @t47 (tptp.k9_relat_1 @t5 @t2))) % 0.24/0.53 (define @t75 () (forall @t49 (=> @t48 @t74))) % 0.24/0.53 (define @t76 () (= @t36 (tptp.k2_xboole_0 @t3 @t5))) % 0.24/0.53 (define @t77 () (forall @t24 (=> @t38 @t76))) % 0.24/0.53 (define @t78 () (= @t56 (tptp.k5_relset_2 @t3 @t5))) % 0.24/0.53 (define @t79 () (forall @t24 (=> @t58 @t78))) % 0.24/0.53 (define @t80 () (=> @t61 (= @t60 @t39))) % 0.24/0.53 (define @t81 () (forall @t49 @t80)) % 0.24/0.53 (define @t82 () (= (tptp.k9_relat_1 @t5 @t35) (tptp.k2_xboole_0 (tptp.k9_relat_1 @t5 @t4) (tptp.k9_relat_1 @t5 @t3)))) % 0.24/0.53 (define @t83 () (forall @t24 (=> @t32 @t82))) % 0.24/0.53 (define @t84 () (tptp.k2_xboole_0 @t4 tptp.k1_xboole_0)) % 0.24/0.53 (define @t85 () (forall @t31 (= @t84 @t4))) % 0.24/0.53 (define @t86 () (tptp.m1_subset_1 @t4 @t3)) % 0.24/0.53 (define @t87 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t5))) % 0.24/0.53 (define @t88 () (@var "BOUND_VARIABLE_7716" $$unsorted)) % 0.24/0.53 (define @t89 () (@var "BOUND_VARIABLE_7714" $$unsorted)) % 0.24/0.53 (define @t90 () (= (tptp.k8_relset_2 @t4 @t3 (tptp.k4_subset_1 @t4 @t5 @t89) @t88) (tptp.k8_relset_2 @t4 @t3 @t89 @t88))) % 0.24/0.53 (define @t91 () (not (= tptp.k1_xboole_0 (tptp.k4_relset_2 @t9 @t3 (tptp.k6_relset_2 @t3 @t4 @t88) @t8)))) % 0.24/0.53 (define @t92 () (not (tptp.m1_subset_1 @t88 @t13))) % 0.24/0.53 (define @t93 () (not (tptp.m1_subset_1 @t89 @t9))) % 0.24/0.53 (define @t94 () (not @t22)) % 0.24/0.53 (define @t95 () (or @t94 @t93 @t92 @t91 @t90)) % 0.24/0.53 (define @t96 () (or @t93 @t92 @t91 @t90)) % 0.24/0.53 (define @t97 () (or @t94 @t96)) % 0.24/0.53 (define @t98 () (@list @t4 @t3 @t5 @t89 @t88)) % 0.24/0.53 (define @t99 () (forall @t98 @t97)) % 0.24/0.53 (define @t100 () (@list @t89 @t88)) % 0.24/0.53 (define @t101 () (forall @t100 @t97)) % 0.24/0.53 (define @t102 () (forall @t100 @t96)) % 0.24/0.53 (define @t103 () (@var "BOUND_VARIABLE_7692" $$unsorted)) % 0.24/0.53 (define @t104 () (or @t94 @t102)) % 0.24/0.53 (define @t105 () (= (tptp.k8_relset_2 @t4 @t3 @t6 @t103) (tptp.k8_relset_2 @t4 @t3 @t2 @t103))) % 0.24/0.53 (define @t106 () (not (= tptp.k1_xboole_0 (tptp.k4_relset_2 @t9 @t3 (tptp.k6_relset_2 @t3 @t4 @t103) @t8)))) % 0.24/0.53 (define @t107 () (not (tptp.m1_subset_1 @t103 @t13))) % 0.24/0.53 (define @t108 () (not @t18)) % 0.24/0.53 (define @t109 () (or @t108 @t107 @t106 @t105)) % 0.24/0.53 (define @t110 () (@list @t2 @t103)) % 0.24/0.53 (define @t111 () (forall @t110 @t109)) % 0.24/0.53 (define @t112 () (or @t107 @t106 @t105)) % 0.24/0.53 (define @t113 () (or @t108 @t112)) % 0.24/0.53 (define @t114 () (forall @t110 @t113)) % 0.24/0.53 (define @t115 () (@list @t103)) % 0.24/0.53 (define @t116 () (forall @t115 @t113)) % 0.24/0.53 (define @t117 () (forall @t115 @t112)) % 0.24/0.53 (define @t118 () (or @t108 @t117)) % 0.24/0.53 (define @t119 () (= tptp.k1_xboole_0 @t10)) % 0.24/0.53 (define @t120 () (not @t119)) % 0.24/0.53 (define @t121 () (not @t14)) % 0.24/0.53 (define @t122 () (or @t121 @t120 @t7)) % 0.24/0.53 (define @t123 () (forall @t16 @t122)) % 0.24/0.53 (define @t124 () (=> @t119 @t7)) % 0.24/0.53 (define @t125 () (forall @t98 @t95)) % 0.24/0.53 (define @t126 () (@quantifiers_skolemize @t125 2)) % 0.24/0.53 (define @t127 () (tptp.k3_pua2mss1 @t126)) % 0.24/0.53 (define @t128 () (@quantifiers_skolemize @t125 4)) % 0.24/0.53 (define @t129 () (@quantifiers_skolemize @t125 0)) % 0.24/0.53 (define @t130 () (@quantifiers_skolemize @t125 1)) % 0.24/0.53 (define @t131 () (tptp.k6_relset_2 @t130 @t129 @t128)) % 0.24/0.53 (define @t132 () (tptp.k1_zfmisc_1 @t129)) % 0.24/0.53 (define @t133 () (tptp.k4_relset_2 @t132 @t130 @t131 @t127)) % 0.24/0.53 (define @t134 () (= tptp.k1_xboole_0 @t133)) % 0.24/0.53 (define @t135 () (@quantifiers_skolemize @t125 3)) % 0.24/0.53 (define @t136 () (tptp.k8_relset_2 @t129 @t130 @t135 @t128)) % 0.24/0.53 (define @t137 () (tptp.k4_subset_1 @t129 @t126 @t135)) % 0.24/0.53 (define @t138 () (tptp.k8_relset_2 @t129 @t130 @t137 @t128)) % 0.24/0.53 (define @t139 () (= @t138 @t136)) % 0.24/0.53 (define @t140 () (not @t134)) % 0.24/0.53 (define @t141 () (tptp.m1_subset_1 @t128 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t129 @t130)))) % 0.24/0.53 (define @t142 () (not @t141)) % 0.24/0.53 (define @t143 () (tptp.m1_subset_1 @t135 @t132)) % 0.24/0.53 (define @t144 () (not @t143)) % 0.24/0.53 (define @t145 () (tptp.m1_subset_1 @t126 @t132)) % 0.24/0.53 (define @t146 () (not @t145)) % 0.24/0.53 (define @t147 () (or @t146 @t144 @t142 @t140 @t139)) % 0.24/0.53 (define @t148 () (@list true)) % 0.24/0.53 (define @t149 () (@list @t147)) % 0.24/0.53 (define @t150 () (not @t37)) % 0.24/0.53 (define @t151 () (or @t150 @t94)) % 0.24/0.53 (define @t152 () (not @t38)) % 0.24/0.53 (define @t153 () (@list @t129 @t126 @t135)) % 0.24/0.53 (define @t154 () (tptp.k2_xboole_0 @t126 @t135)) % 0.24/0.53 (define @t155 () (= @t137 @t154)) % 0.24/0.53 (define @t156 () (or @t146 @t144 @t155)) % 0.24/0.53 (define @t157 () (@list false false false)) % 0.24/0.53 (define @t158 () (= @t39 @t60)) % 0.24/0.53 (define @t159 () (not @t41)) % 0.24/0.53 (define @t160 () (or @t94 @t159 @t158)) % 0.24/0.53 (define @t161 () (tptp.k7_relset_2 @t129 @t130 @t135 @t128)) % 0.24/0.53 (define @t162 () (or @t144 @t142 (= @t161 @t136))) % 0.24/0.53 (define @t163 () (forall @t49 @t160)) % 0.24/0.53 (define @t164 () (@list @t129 @t130 @t135 @t128)) % 0.24/0.53 (define @t165 () (= @t136 @t161)) % 0.24/0.53 (define @t166 () (or @t144 @t142 @t165)) % 0.24/0.53 (define @t167 () (@list false)) % 0.24/0.53 (define @t168 () (@list @t163)) % 0.24/0.53 (define @t169 () (tptp.k7_relset_2 @t129 @t130 @t137 @t128)) % 0.24/0.53 (define @t170 () (tptp.m1_subset_1 @t137 @t132)) % 0.24/0.53 (define @t171 () (not @t170)) % 0.24/0.53 (define @t172 () (or @t171 @t142 (= @t169 @t138))) % 0.24/0.53 (define @t173 () (@list @t129 @t130 @t137 @t128)) % 0.24/0.53 (define @t174 () (= @t138 @t169)) % 0.24/0.53 (define @t175 () (or @t171 @t142 @t174)) % 0.24/0.53 (define @t176 () (or @t146 @t144 @t170)) % 0.24/0.53 (define @t177 () (@var "BOUND_VARIABLE_7762" $$unsorted)) % 0.24/0.53 (define @t178 () (= (tptp.k7_relset_2 @t4 @t3 @t5 @t177) (tptp.k8_setfam_1 @t3 (tptp.k4_relset_2 @t9 @t3 (tptp.k6_relset_2 @t3 @t4 @t177) @t8)))) % 0.24/0.53 (define @t179 () (not (tptp.m1_subset_1 @t177 @t13))) % 0.24/0.53 (define @t180 () (or @t179 @t178)) % 0.24/0.53 (define @t181 () (or @t94 @t180)) % 0.24/0.53 (define @t182 () (forall (@list @t4 @t3 @t5 @t177) @t181)) % 0.24/0.53 (define @t183 () (@list @t177)) % 0.24/0.53 (define @t184 () (forall @t183 @t181)) % 0.24/0.53 (define @t185 () (forall @t183 @t180)) % 0.24/0.53 (define @t186 () (or @t94 @t185)) % 0.24/0.53 (define @t187 () (forall @t20 (or @t159 @t40))) % 0.24/0.53 (define @t188 () (tptp.k3_pua2mss1 @t135)) % 0.24/0.53 (define @t189 () (tptp.k4_relset_2 @t132 @t130 @t131 @t188)) % 0.24/0.53 (define @t190 () (= @t161 (tptp.k8_setfam_1 @t130 @t189))) % 0.24/0.53 (define @t191 () (or @t144 @t142 @t190)) % 0.24/0.53 (define @t192 () (tptp.k3_pua2mss1 @t137)) % 0.24/0.53 (define @t193 () (tptp.k4_relset_2 @t132 @t130 @t131 @t192)) % 0.24/0.53 (define @t194 () (tptp.k8_setfam_1 @t130 @t193)) % 0.24/0.53 (define @t195 () (= @t169 @t194)) % 0.24/0.53 (define @t196 () (or @t171 @t142 @t195)) % 0.24/0.53 (define @t197 () (tptp.k1_zfmisc_1 @t130)) % 0.24/0.53 (define @t198 () (@list @t130 @t129 @t128)) % 0.24/0.53 (define @t199 () (tptp.m2_relset_1 @t131 @t132 @t197)) % 0.24/0.53 (define @t200 () (and (tptp.v1_funct_1 @t131) (tptp.v1_funct_2 @t131 @t132 @t197) @t199)) % 0.24/0.53 (define @t201 () (or @t142 @t200)) % 0.24/0.53 (define @t202 () (@list false false)) % 0.24/0.53 (define @t203 () (tptp.m1_subset_1 @t131 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t132 @t197)))) % 0.24/0.53 (define @t204 () (not @t199)) % 0.24/0.53 (define @t205 () (or @t204 @t203)) % 0.24/0.53 (define @t206 () (tptp.k9_relat_1 @t131 @t127)) % 0.24/0.53 (define @t207 () (= @t133 @t206)) % 0.24/0.53 (define @t208 () (not @t203)) % 0.24/0.53 (define @t209 () (or @t208 @t207)) % 0.24/0.53 (define @t210 () (tptp.k9_relat_1 @t131 @t188)) % 0.24/0.53 (define @t211 () (= @t189 @t210)) % 0.24/0.53 (define @t212 () (or @t208 @t211)) % 0.24/0.53 (define @t213 () (tptp.k9_relat_1 @t131 @t192)) % 0.24/0.53 (define @t214 () (= @t193 @t213)) % 0.24/0.53 (define @t215 () (or @t208 @t214)) % 0.24/0.53 (define @t216 () (tptp.v1_relat_1 @t128)) % 0.24/0.53 (define @t217 () (or @t142 @t216)) % 0.24/0.53 (define @t218 () (tptp.k5_relset_2 @t129 @t128)) % 0.24/0.53 (define @t219 () (tptp.v1_relat_1 @t218)) % 0.24/0.53 (define @t220 () (and @t219 (tptp.v1_funct_1 @t218))) % 0.24/0.53 (define @t221 () (not @t216)) % 0.24/0.53 (define @t222 () (or @t221 @t220)) % 0.24/0.53 (define @t223 () (= @t131 @t218)) % 0.24/0.53 (define @t224 () (or @t142 @t223)) % 0.24/0.53 (define @t225 () (tptp.v1_relat_1 @t131)) % 0.24/0.53 (define @t226 () (tptp.k2_xboole_0 @t210 @t206)) % 0.24/0.53 (define @t227 () (tptp.k2_xboole_0 @t188 @t127)) % 0.24/0.53 (define @t228 () (= (tptp.k9_relat_1 @t131 @t227) @t226)) % 0.24/0.53 (define @t229 () (not @t225)) % 0.24/0.53 (define @t230 () (or @t229 @t228)) % 0.24/0.53 (define @t231 () (tptp.k2_xboole_0 @t135 @t126)) % 0.24/0.53 (define @t232 () (= @t154 @t231)) % 0.24/0.53 (define @t233 () (= (tptp.k3_pua2mss1 @t231) @t227)) % 0.24/0.53 (define @t234 () (= @t210 (tptp.k2_xboole_0 @t210 tptp.k1_xboole_0))) % 0.24/0.53 (define @t235 () (and @t134 @t207 @t155 @t165 @t174 @t232 @t190 @t195 @t211 @t214 @t233 @t228 @t234)) % 0.24/0.53 (assume @p1 @t26) % 0.24/0.53 (assume @p2 (forall @t28 (=> @t27 (not (tptp.r2_hidden @t3 @t4))))) % 0.24/0.53 (assume @p3 (forall @t31 (=> @t30 @t29))) % 0.24/0.53 (assume @p4 @t34) % 0.24/0.53 (assume @p5 (forall @t28 (= @t35 (tptp.k2_xboole_0 @t3 @t4)))) % 0.24/0.53 (assume @p6 (forall @t24 (=> @t38 (= @t36 (tptp.k4_subset_1 @t4 @t5 @t3))))) % 0.24/0.53 (assume @p7 @t44) % 0.24/0.53 (assume @p8 true) % 0.24/0.53 (assume @p9 (forall @t31 (tptp.m1_eqrel_1 @t45 @t4))) % 0.24/0.53 (assume @p10 (forall @t49 (=> @t48 (tptp.m1_subset_1 @t47 (tptp.k1_zfmisc_1 @t46))))) % 0.24/0.53 (assume @p11 @t51) % 0.24/0.53 (assume @p12 @t55) % 0.24/0.53 (assume @p13 @t59) % 0.24/0.53 (assume @p14 (forall @t49 (=> @t61 (tptp.m1_subset_1 @t60 @t46)))) % 0.24/0.53 (assume @p15 (forall @t28 (=> @t62 (tptp.m1_subset_1 (tptp.k8_setfam_1 @t4 @t3) @t9)))) % 0.24/0.53 (assume @p16 (forall @t28 (=> @t63 @t62))) % 0.24/0.53 (assume @p17 @t65) % 0.24/0.53 (assume @p18 (forall @t31 (exists @t66 @t63))) % 0.24/0.53 (assume @p19 (forall @t28 (exists @t68 @t67))) % 0.24/0.53 (assume @p20 (forall @t31 (exists @t66 (tptp.m1_subset_1 @t3 @t4)))) % 0.24/0.53 (assume @p21 (forall @t28 (exists @t68 @t64))) % 0.24/0.53 (assume @p22 (and @t70 @t69 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 0.24/0.53 (assume @p23 (forall @t31 (not (tptp.v1_xboole_0 @t9)))) % 0.24/0.53 (assume @p24 (forall @t28 (tptp.v1_relat_1 @t12))) % 0.24/0.53 (assume @p25 (forall @t28 (=> (and @t29 @t54) (tptp.v1_relat_1 @t35)))) % 0.24/0.53 (assume @p26 (and @t70 @t69)) % 0.24/0.53 (assume @p27 (forall @t28 (=> (and @t73 @t72) (not (tptp.v1_xboole_0 @t12))))) % 0.24/0.53 (assume @p28 (forall @t28 (= (tptp.k2_xboole_0 @t4 @t4) @t4))) % 0.24/0.53 (assume @p29 (forall @t24 (=> @t38 (= (tptp.k4_subset_1 @t4 @t3 @t3) @t3)))) % 0.24/0.53 (assume @p30 (exists @t31 (and @t30 @t29))) % 0.24/0.53 (assume @p31 (forall @t31 (=> @t73 (exists @t66 (and @t37 @t72))))) % 0.24/0.53 (assume @p32 (forall @t28 (exists @t68 (and @t67 @t32 (tptp.v1_funct_1 @t5))))) % 0.24/0.53 (assume @p33 (exists @t31 (and @t73 @t29))) % 0.24/0.53 (assume @p34 (forall @t31 (exists @t66 (and @t37 @t71)))) % 0.24/0.53 (assume @p35 (exists @t31 (and @t29 (tptp.v3_relat_1 @t4)))) % 0.24/0.53 (assume @p36 @t75) % 0.24/0.53 (assume @p37 @t77) % 0.24/0.53 (assume @p38 @t79) % 0.24/0.53 (assume @p39 @t81) % 0.24/0.53 (assume @p40 (forall @t24 (= @t64 @t67))) % 0.24/0.53 (assume @p41 (forall @t28 (tptp.r1_tarski @t4 @t4))) % 0.24/0.53 (assume @p42 @t83) % 0.24/0.53 (assume @p43 @t85) % 0.24/0.53 (assume @p44 (forall @t28 (=> @t27 @t86))) % 0.24/0.53 (assume @p45 (forall @t28 (=> @t86 (or @t71 @t27)))) % 0.24/0.53 (assume @p46 (forall @t28 (= (tptp.k3_pua2mss1 @t35) (tptp.k2_xboole_0 @t45 (tptp.k3_pua2mss1 @t3))))) % 0.24/0.53 (assume @p47 (forall @t28 (= (tptp.m1_subset_1 @t4 @t46) (tptp.r1_tarski @t4 @t3)))) % 0.24/0.53 (assume @p48 (forall @t24 (=> (and @t27 @t87) (tptp.m1_subset_1 @t4 @t5)))) % 0.24/0.53 (assume @p49 (forall @t24 (not (and @t27 @t87 (tptp.v1_xboole_0 @t5))))) % 0.24/0.53 (assume @p50 (forall @t31 (=> @t30 (= @t4 tptp.k1_xboole_0)))) % 0.24/0.53 (assume @p51 (forall @t28 (not (and @t27 @t71)))) % 0.24/0.53 (assume @p52 (forall @t28 (not (and @t30 (not (= @t4 @t3)) @t71)))) % 0.24/0.53 (step @p53 :rule aci_norm :args ((= @t97 @t95))) % 0.24/0.53 (step @p54 :rule cong :premises (@p53) :args (@t99)) % 0.24/0.53 (step @p55 :rule quant-merge-prenex :args ((= (forall @t24 @t101) @t99))) % 0.24/0.53 (step @p56 :rule alpha_equiv :args (@t102 (@list @t89 @t88) (@list @t2 @t103))) % 0.24/0.53 (step @p57 :rule refl :args (@t94)) % 0.24/0.53 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t104)) % 0.24/0.53 (step @p59 :rule quant-miniscope-or :args ((= @t101 @t104))) % 0.24/0.53 (step @p60 :rule trans :premises (@p59 @p58)) % 0.24/0.53 (step @p61 :rule symm :premises (@p60)) % 0.24/0.53 (step @p62 :rule cong :premises (@p61) :args ((forall @t24 (or @t94 @t111)))) % 0.24/0.53 (step @p63 :rule trans :premises (@p62 @p55)) % 0.24/0.53 (step @p64 :rule trans :premises (@p63 @p54)) % 0.24/0.53 (step @p65 :rule bool-impl-elim :args (@t22 @t111)) % 0.24/0.53 (step @p66 :rule cong :premises (@p65) :args ((forall @t24 (=> @t22 @t111)))) % 0.24/0.53 (step @p67 :rule trans :premises (@p66 @p64)) % 0.24/0.53 (step @p68 :rule aci_norm :args ((= @t113 @t109))) % 0.24/0.53 (step @p69 :rule cong :premises (@p68) :args (@t114)) % 0.24/0.53 (step @p70 :rule quant-merge-prenex :args ((= (forall @t20 @t116) @t114))) % 0.24/0.53 (step @p71 :rule alpha_equiv :args (@t117 (@list @t103) (@list @t1))) % 0.24/0.53 (step @p72 :rule refl :args (@t108)) % 0.24/0.53 (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t118)) % 0.24/0.53 (step @p74 :rule quant-miniscope-or :args ((= @t116 @t118))) % 0.24/0.53 (step @p75 :rule trans :premises (@p74 @p73)) % 0.24/0.53 (step @p76 :rule symm :premises (@p75)) % 0.24/0.53 (step @p77 :rule cong :premises (@p76) :args ((forall @t20 (or @t108 @t123)))) % 0.24/0.53 (step @p78 :rule trans :premises (@p77 @p70)) % 0.24/0.53 (step @p79 :rule trans :premises (@p78 @p69)) % 0.24/0.53 (step @p80 :rule bool-impl-elim :args (@t18 @t123)) % 0.24/0.53 (step @p81 :rule cong :premises (@p80) :args ((forall @t20 (=> @t18 @t123)))) % 0.24/0.53 (step @p82 :rule trans :premises (@p81 @p79)) % 0.24/0.53 (step @p83 :rule aci_norm :args ((= (or @t121 (or @t120 @t7)) @t122))) % 0.24/0.53 (step @p84 :rule bool-impl-elim :args (@t119 @t7)) % 0.24/0.53 (step @p85 :rule refl :args (@t121)) % 0.24/0.53 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t121 @t124))) % 0.24/0.53 (step @p87 :rule trans :premises (@p86 @p83)) % 0.24/0.53 (step @p88 :rule bool-impl-elim :args (@t14 @t124)) % 0.24/0.53 (step @p89 :rule trans :premises (@p88 @p87)) % 0.24/0.53 (step @p90 :rule cong :premises (@p89) :args ((forall @t16 (=> @t14 @t124)))) % 0.24/0.53 (step @p91 :rule refl :args (@t7)) % 0.24/0.53 (step @p92 :rule eq-symm :args (@t10 tptp.k1_xboole_0)) % 0.24/0.53 (step @p93 :rule cong :premises (@p92 @p91) :args (@t11)) % 0.24/0.53 (step @p94 :rule refl :args (@t14)) % 0.24/0.53 (step @p95 :rule cong :premises (@p94 @p93) :args (@t15)) % 0.24/0.53 (step @p96 :rule cong :premises (@p95) :args (@t17)) % 0.24/0.53 (step @p97 :rule trans :premises (@p96 @p90)) % 0.24/0.53 (step @p98 :rule refl :args (@t18)) % 0.24/0.53 (step @p99 :rule cong :premises (@p98 @p97) :args (@t19)) % 0.24/0.53 (step @p100 :rule cong :premises (@p99) :args (@t21)) % 0.24/0.53 (step @p101 :rule trans :premises (@p100 @p82)) % 0.24/0.53 (step @p102 :rule refl :args (@t22)) % 0.24/0.53 (step @p103 :rule cong :premises (@p102 @p101) :args (@t23)) % 0.24/0.53 (step @p104 :rule cong :premises (@p103) :args (@t25)) % 0.24/0.53 (step @p105 :rule trans :premises (@p104 @p67)) % 0.24/0.53 (step @p106 :rule cong :premises (@p105) :args (@t26)) % 0.24/0.53 (step @p107 :rule eq_resolve :premises (@p1 @p106)) % 0.24/0.53 (step @p108 :rule skolemize :premises (@p107)) % 0.24/0.53 (step @p109 :rule bool-double-not-elim :args (@t134)) % 0.24/0.53 (step @p110 :rule refl :args (@t147)) % 0.24/0.53 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t147 (not @t140)))) % 0.24/0.53 (step @p112 :rule cnf_or_neg :args (@t147 3)) % 0.24/0.53 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.24/0.53 (step @p114 :rule reordering :premises (@p113) :args ((or @t134 @t147))) % 0.24/0.53 (step @p115 :rule chain_m_resolution :premises (@p114 @p108) :args (@t134 @t148 @t149)) % 0.24/0.53 (step @p116 :rule cnf_or_neg :args (@t147 4)) % 0.24/0.53 (step @p117 :rule chain_m_resolution :premises (@p116 @p108) :args ((not @t139) @t148 @t149)) % 0.24/0.53 (step @p118 :rule aci_norm :args ((= (or @t151 @t76) (or @t150 @t94 @t76)))) % 0.24/0.53 (step @p119 :rule refl :args (@t76)) % 0.24/0.53 (step @p120 :rule bool-and-de-morgan :args (@t37 @t22 true)) % 0.24/0.53 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t152 @t76))) % 0.24/0.53 (step @p122 :rule trans :premises (@p121 @p118)) % 0.24/0.53 (step @p123 :rule bool-impl-elim :args (@t38 @t76)) % 0.24/0.53 (step @p124 :rule trans :premises (@p123 @p122)) % 0.24/0.53 (step @p125 :rule cong :premises (@p124) :args (@t77)) % 0.24/0.53 (step @p126 :rule eq_resolve :premises (@p37 @p125)) % 0.24/0.53 (step @p127 :rule instantiate :premises (@p126) :args (@t153)) % 0.24/0.53 (step @p128 :rule bool-double-not-elim :args (@t143)) % 0.24/0.53 (step @p129 :rule nary_cong :premises (@p110 @p128) :args ((or @t147 (not @t144)))) % 0.24/0.53 (step @p130 :rule cnf_or_neg :args (@t147 1)) % 0.24/0.53 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 0.24/0.53 (step @p132 :rule reordering :premises (@p131) :args ((or @t143 @t147))) % 0.24/0.53 (step @p133 :rule chain_m_resolution :premises (@p132 @p108) :args (@t143 @t148 @t149)) % 0.24/0.53 (step @p134 :rule bool-double-not-elim :args (@t145)) % 0.24/0.53 (step @p135 :rule nary_cong :premises (@p110 @p134) :args ((or @t147 (not @t146)))) % 0.24/0.53 (step @p136 :rule cnf_or_neg :args (@t147 0)) % 0.24/0.53 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 0.24/0.53 (step @p138 :rule reordering :premises (@p137) :args ((or @t145 @t147))) % 0.24/0.53 (step @p139 :rule chain_m_resolution :premises (@p138 @p108) :args (@t145 @t148 @t149)) % 0.24/0.53 (step @p140 :rule cnf_or_pos :args (@t156)) % 0.24/0.53 (step @p141 :rule reordering :premises (@p140) :args ((or @t146 @t144 @t155 (not @t156)))) % 0.24/0.53 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p133 @p127) :args (@t155 @t157 (@list @t145 @t143 @t156))) % 0.24/0.53 (step @p143 :rule aci_norm :args ((= (or (or @t94 @t159) @t158) @t160))) % 0.24/0.53 (step @p144 :rule refl :args (@t158)) % 0.24/0.53 (step @p145 :rule bool-and-de-morgan :args (@t22 @t41 true)) % 0.24/0.53 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or (not @t61) @t158))) % 0.24/0.53 (step @p147 :rule trans :premises (@p146 @p143)) % 0.24/0.53 (step @p148 :rule bool-impl-elim :args (@t61 @t158)) % 0.24/0.53 (step @p149 :rule trans :premises (@p148 @p147)) % 0.24/0.53 (step @p150 :rule cong :premises (@p149) :args ((forall @t49 (=> @t61 @t158)))) % 0.24/0.53 (step @p151 :rule eq-symm :args (@t60 @t39)) % 0.24/0.53 (step @p152 :rule refl :args (@t61)) % 0.24/0.53 (step @p153 :rule cong :premises (@p152 @p151) :args (@t80)) % 0.24/0.53 (step @p154 :rule cong :premises (@p153) :args (@t81)) % 0.24/0.53 (step @p155 :rule trans :premises (@p154 @p150)) % 0.24/0.53 (step @p156 :rule eq_resolve :premises (@p39 @p155)) % 0.24/0.53 (step @p157 :rule eq-symm :args (@t161 @t136)) % 0.24/0.53 (step @p158 :rule refl :args (@t142)) % 0.24/0.53 (step @p159 :rule refl :args (@t144)) % 0.24/0.53 (step @p160 :rule nary_cong :premises (@p159 @p158 @p157) :args (@t162)) % 0.24/0.53 (step @p161 :rule refl :args (@t163)) % 0.24/0.53 (step @p162 :rule cong :premises (@p161 @p160) :args ((=> @t163 @t162))) % 0.24/0.53 (assume-push @p356 @t163) % 0.24/0.53 (step @p164 :rule instantiate :premises (@p156) :args (@t164)) % 0.24/0.53 (step-pop @p357 :rule scope :premises (@p164)) % 0.24/0.53 (step @p165 :rule process_scope :premises (@p357) :args (@t162)) % 0.24/0.53 (step @p167 :rule eq_resolve :premises (@p165 @p162)) % 0.24/0.53 (step @p168 :rule implies_elim :premises (@p167)) % 0.24/0.53 (step @p169 :rule chain_m_resolution :premises (@p168 @p156) :args (@t166 @t167 @t168)) % 0.24/0.53 (step @p170 :rule bool-double-not-elim :args (@t141)) % 0.24/0.53 (step @p171 :rule nary_cong :premises (@p110 @p170) :args ((or @t147 (not @t142)))) % 0.24/0.53 (step @p172 :rule cnf_or_neg :args (@t147 2)) % 0.24/0.53 (step @p173 :rule eq_resolve :premises (@p172 @p171)) % 0.24/0.53 (step @p174 :rule reordering :premises (@p173) :args ((or @t141 @t147))) % 0.24/0.53 (step @p175 :rule chain_m_resolution :premises (@p174 @p108) :args (@t141 @t148 @t149)) % 0.24/0.53 (step @p176 :rule cnf_or_pos :args (@t166)) % 0.24/0.53 (step @p177 :rule reordering :premises (@p176) :args ((or @t144 @t142 @t165 (not @t166)))) % 0.24/0.53 (step @p178 :rule chain_m_resolution :premises (@p177 @p133 @p175 @p169) :args (@t165 @t157 (@list @t143 @t141 @t166))) % 0.24/0.53 (step @p179 :rule eq-symm :args (@t169 @t138)) % 0.24/0.53 (step @p180 :rule refl :args (@t171)) % 0.24/0.53 (step @p181 :rule nary_cong :premises (@p180 @p158 @p179) :args (@t172)) % 0.24/0.53 (step @p182 :rule cong :premises (@p161 @p181) :args ((=> @t163 @t172))) % 0.24/0.53 (assume-push @p358 @t163) % 0.24/0.53 (step @p184 :rule instantiate :premises (@p156) :args (@t173)) % 0.24/0.53 (step-pop @p359 :rule scope :premises (@p184)) % 0.24/0.53 (step @p185 :rule process_scope :premises (@p359) :args (@t172)) % 0.24/0.53 (step @p187 :rule eq_resolve :premises (@p185 @p182)) % 0.24/0.53 (step @p188 :rule implies_elim :premises (@p187)) % 0.24/0.53 (step @p189 :rule chain_m_resolution :premises (@p188 @p156) :args (@t175 @t167 @t168)) % 0.24/0.53 (step @p190 :rule aci_norm :args ((= (or @t151 @t50) (or @t150 @t94 @t50)))) % 0.24/0.53 (step @p191 :rule refl :args (@t50)) % 0.24/0.53 (step @p192 :rule nary_cong :premises (@p120 @p191) :args ((or @t152 @t50))) % 0.24/0.53 (step @p193 :rule trans :premises (@p192 @p190)) % 0.24/0.53 (step @p194 :rule bool-impl-elim :args (@t38 @t50)) % 0.24/0.53 (step @p195 :rule trans :premises (@p194 @p193)) % 0.24/0.53 (step @p196 :rule cong :premises (@p195) :args (@t51)) % 0.24/0.53 (step @p197 :rule eq_resolve :premises (@p11 @p196)) % 0.24/0.53 (step @p198 :rule instantiate :premises (@p197) :args (@t153)) % 0.24/0.53 (step @p199 :rule cnf_or_pos :args (@t176)) % 0.24/0.53 (step @p200 :rule reordering :premises (@p199) :args ((or @t146 @t144 @t170 (not @t176)))) % 0.24/0.53 (step @p201 :rule chain_m_resolution :premises (@p200 @p139 @p133 @p198) :args (@t170 @t157 (@list @t145 @t143 @t176))) % 0.24/0.53 (step @p202 :rule cnf_or_pos :args (@t175)) % 0.24/0.53 (step @p203 :rule reordering :premises (@p202) :args ((or @t142 @t171 @t174 (not @t175)))) % 0.24/0.53 (step @p204 :rule chain_m_resolution :premises (@p203 @p175 @p201 @p189) :args (@t174 @t157 (@list @t141 @t170 @t175))) % 0.24/0.53 (step @p205 :rule instantiate :premises (@p5) :args ((@list @t126 @t135))) % 0.24/0.53 (step @p206 :rule aci_norm :args ((= @t181 (or @t94 @t179 @t178)))) % 0.24/0.53 (step @p207 :rule cong :premises (@p206) :args (@t182)) % 0.24/0.53 (step @p208 :rule quant-merge-prenex :args ((= (forall @t24 @t184) @t182))) % 0.24/0.53 (step @p209 :rule alpha_equiv :args (@t185 (@list @t177) (@list @t2))) % 0.24/0.53 (step @p210 :rule nary_cong :premises (@p57 @p209) :args (@t186)) % 0.24/0.53 (step @p211 :rule quant-miniscope-or :args ((= @t184 @t186))) % 0.24/0.53 (step @p212 :rule trans :premises (@p211 @p210)) % 0.24/0.53 (step @p213 :rule symm :premises (@p212)) % 0.24/0.53 (step @p214 :rule cong :premises (@p213) :args ((forall @t24 (or @t94 @t187)))) % 0.24/0.53 (step @p215 :rule trans :premises (@p214 @p208)) % 0.24/0.53 (step @p216 :rule trans :premises (@p215 @p207)) % 0.24/0.53 (step @p217 :rule bool-impl-elim :args (@t22 @t187)) % 0.24/0.53 (step @p218 :rule cong :premises (@p217) :args ((forall @t24 (=> @t22 @t187)))) % 0.24/0.53 (step @p219 :rule trans :premises (@p218 @p216)) % 0.24/0.53 (step @p220 :rule bool-impl-elim :args (@t41 @t40)) % 0.24/0.53 (step @p221 :rule cong :premises (@p220) :args (@t42)) % 0.24/0.53 (step @p222 :rule cong :premises (@p102 @p221) :args (@t43)) % 0.24/0.53 (step @p223 :rule cong :premises (@p222) :args (@t44)) % 0.24/0.53 (step @p224 :rule trans :premises (@p223 @p219)) % 0.24/0.53 (step @p225 :rule eq_resolve :premises (@p7 @p224)) % 0.24/0.53 (step @p226 :rule instantiate :premises (@p225) :args (@t164)) % 0.24/0.53 (step @p227 :rule cnf_or_pos :args (@t191)) % 0.24/0.53 (step @p228 :rule reordering :premises (@p227) :args ((or @t144 @t142 @t190 (not @t191)))) % 0.24/0.53 (step @p229 :rule chain_m_resolution :premises (@p228 @p133 @p175 @p226) :args (@t190 @t157 (@list @t143 @t141 @t191))) % 0.24/0.53 (step @p230 :rule instantiate :premises (@p225) :args (@t173)) % 0.24/0.53 (step @p231 :rule cnf_or_pos :args (@t196)) % 0.24/0.53 (step @p232 :rule reordering :premises (@p231) :args ((or @t142 @t171 @t195 (not @t196)))) % 0.24/0.53 (step @p233 :rule chain_m_resolution :premises (@p232 @p175 @p201 @p230) :args (@t195 @t157 (@list @t141 @t170 @t196))) % 0.24/0.53 (step @p234 :rule bool-impl-elim :args (@t48 @t74)) % 0.24/0.53 (step @p235 :rule cong :premises (@p234) :args (@t75)) % 0.24/0.53 (step @p236 :rule eq_resolve :premises (@p36 @p235)) % 0.24/0.53 (step @p237 :rule instantiate :premises (@p236) :args ((@list @t132 @t130 @t131 @t127))) % 0.24/0.53 (step @p238 :rule bool-impl-elim :args (@t64 @t33)) % 0.24/0.53 (step @p239 :rule cong :premises (@p238) :args (@t65)) % 0.24/0.53 (step @p240 :rule eq_resolve :premises (@p17 @p239)) % 0.24/0.53 (step @p241 :rule instantiate :premises (@p240) :args ((@list @t132 @t197 @t131))) % 0.24/0.53 (step @p242 :rule bool-impl-elim :args (@t58 @t57)) % 0.24/0.53 (step @p243 :rule cong :premises (@p242) :args (@t59)) % 0.24/0.53 (step @p244 :rule eq_resolve :premises (@p13 @p243)) % 0.24/0.53 (step @p245 :rule instantiate :premises (@p244) :args (@t198)) % 0.24/0.53 (step @p246 :rule cnf_or_pos :args (@t201)) % 0.24/0.53 (step @p247 :rule reordering :premises (@p246) :args ((or @t142 @t200 (not @t201)))) % 0.24/0.53 (step @p248 :rule chain_m_resolution :premises (@p247 @p175 @p245) :args (@t200 @t202 (@list @t141 @t201))) % 0.24/0.53 (step @p249 :rule cnf_and_pos :args (@t200 2)) % 0.24/0.53 (step @p250 :rule reordering :premises (@p249) :args ((or @t199 (not @t200)))) % 0.24/0.53 (step @p251 :rule chain_m_resolution :premises (@p250 @p248) :args (@t199 @t167 (@list @t200))) % 0.24/0.53 (step @p252 :rule cnf_or_pos :args (@t205)) % 0.24/0.53 (step @p253 :rule reordering :premises (@p252) :args ((or @t203 @t204 (not @t205)))) % 0.24/0.53 (step @p254 :rule chain_m_resolution :premises (@p253 @p251 @p241) :args (@t203 @t202 (@list @t199 @t205))) % 0.24/0.53 (step @p255 :rule cnf_or_pos :args (@t209)) % 0.24/0.53 (step @p256 :rule reordering :premises (@p255) :args ((or @t208 @t207 (not @t209)))) % 0.24/0.53 (step @p257 :rule chain_m_resolution :premises (@p256 @p254 @p237) :args (@t207 @t202 (@list @t203 @t209))) % 0.24/0.53 (step @p258 :rule instantiate :premises (@p46) :args ((@list @t135 @t126))) % 0.24/0.53 (step @p259 :rule instantiate :premises (@p236) :args ((@list @t132 @t130 @t131 @t188))) % 0.24/0.53 (step @p260 :rule cnf_or_pos :args (@t212)) % 0.24/0.53 (step @p261 :rule reordering :premises (@p260) :args ((or @t208 @t211 (not @t212)))) % 0.24/0.53 (step @p262 :rule chain_m_resolution :premises (@p261 @p254 @p259) :args (@t211 @t202 (@list @t203 @t212))) % 0.24/0.53 (step @p263 :rule instantiate :premises (@p236) :args ((@list @t132 @t130 @t131 @t192))) % 0.24/0.53 (step @p264 :rule cnf_or_pos :args (@t215)) % 0.24/0.53 (step @p265 :rule reordering :premises (@p264) :args ((or @t208 @t214 (not @t215)))) % 0.24/0.53 (step @p266 :rule chain_m_resolution :premises (@p265 @p254 @p263) :args (@t214 @t202 (@list @t203 @t215))) % 0.24/0.53 (step @p267 :rule bool-impl-elim :args (@t32 @t82)) % 0.24/0.53 (step @p268 :rule cong :premises (@p267) :args (@t83)) % 0.24/0.53 (step @p269 :rule eq_resolve :premises (@p42 @p268)) % 0.24/0.53 (step @p270 :rule instantiate :premises (@p269) :args ((@list @t188 @t127 @t131))) % 0.24/0.53 (step @p271 :rule bool-impl-elim :args (@t54 @t53)) % 0.24/0.53 (step @p272 :rule cong :premises (@p271) :args (@t55)) % 0.24/0.53 (step @p273 :rule eq_resolve :premises (@p12 @p272)) % 0.24/0.53 (step @p274 :rule instantiate :premises (@p273) :args ((@list @t129 @t128))) % 0.24/0.53 (step @p275 :rule bool-impl-elim :args (@t33 @t32)) % 0.24/0.53 (step @p276 :rule cong :premises (@p275) :args (@t34)) % 0.24/0.53 (step @p277 :rule eq_resolve :premises (@p4 @p276)) % 0.24/0.53 (step @p278 :rule instantiate :premises (@p277) :args ((@list @t129 @t130 @t128))) % 0.24/0.53 (step @p279 :rule cnf_or_pos :args (@t217)) % 0.24/0.53 (step @p280 :rule reordering :premises (@p279) :args ((or @t142 @t216 (not @t217)))) % 0.24/0.53 (step @p281 :rule chain_m_resolution :premises (@p280 @p175 @p278) :args (@t216 @t202 (@list @t141 @t217))) % 0.24/0.53 (step @p282 :rule cnf_or_pos :args (@t222)) % 0.24/0.53 (step @p283 :rule reordering :premises (@p282) :args ((or @t221 @t220 (not @t222)))) % 0.24/0.53 (step @p284 :rule chain_m_resolution :premises (@p283 @p281 @p274) :args (@t220 @t202 (@list @t216 @t222))) % 0.24/0.53 (step @p285 :rule cnf_and_pos :args (@t220 0)) % 0.24/0.53 (step @p286 :rule reordering :premises (@p285) :args ((or @t219 (not @t220)))) % 0.24/0.53 (step @p287 :rule chain_m_resolution :premises (@p286 @p284) :args (@t219 @t167 (@list @t220))) % 0.24/0.53 (step @p288 :rule true_intro :premises (@p287)) % 0.24/0.53 (step @p289 :rule bool-impl-elim :args (@t58 @t78)) % 0.24/0.53 (step @p290 :rule cong :premises (@p289) :args (@t79)) % 0.24/0.53 (step @p291 :rule eq_resolve :premises (@p38 @p290)) % 0.24/0.53 (step @p292 :rule instantiate :premises (@p291) :args (@t198)) % 0.24/0.53 (step @p293 :rule cnf_or_pos :args (@t224)) % 0.24/0.53 (step @p294 :rule reordering :premises (@p293) :args ((or @t142 @t223 (not @t224)))) % 0.24/0.53 (step @p295 :rule chain_m_resolution :premises (@p294 @p175 @p292) :args (@t223 @t202 (@list @t141 @t224))) % 0.24/0.53 (step @p296 :rule cong :premises (@p295) :args (@t225)) % 0.24/0.53 (step @p297 :rule trans :premises (@p296 @p288)) % 0.24/0.53 (step @p298 :rule true_elim :premises (@p297)) % 0.24/0.53 (step @p299 :rule cnf_or_pos :args (@t230)) % 0.24/0.53 (step @p300 :rule reordering :premises (@p299) :args ((or @t229 @t228 (not @t230)))) % 0.24/0.53 (step @p301 :rule chain_m_resolution :premises (@p300 @p298 @p270) :args (@t228 @t202 (@list @t225 @t230))) % 0.24/0.53 (step @p302 :rule eq-symm :args (@t84 @t4)) % 0.24/0.53 (step @p303 :rule cong :premises (@p302) :args (@t85)) % 0.24/0.53 (step @p304 :rule eq_resolve :premises (@p43 @p303)) % 0.24/0.53 (step @p305 :rule instantiate :premises (@p304) :args ((@list @t210))) % 0.24/0.53 (assume-push @p360 @t134) % 0.24/0.53 (assume-push @p361 @t207) % 0.24/0.53 (assume-push @p362 @t155) % 0.24/0.53 (assume-push @p363 @t165) % 0.24/0.53 (assume-push @p364 @t174) % 0.24/0.53 (assume-push @p365 @t232) % 0.24/0.53 (assume-push @p366 @t190) % 0.24/0.53 (assume-push @p367 @t195) % 0.24/0.53 (assume-push @p368 @t211) % 0.24/0.53 (assume-push @p369 @t214) % 0.24/0.53 (assume-push @p370 @t233) % 0.24/0.53 (assume-push @p371 @t228) % 0.24/0.53 (assume-push @p372 @t234) % 0.24/0.53 (step @p319 :rule symm :premises (@p178)) % 0.24/0.53 (step @p320 :rule symm :premises (@p229)) % 0.24/0.53 (step @p321 :rule symm :premises (@p262)) % 0.24/0.53 (step @p322 :rule symm :premises (@p305)) % 0.24/0.53 (step @p323 :rule symm :premises (@p115)) % 0.24/0.53 (step @p324 :rule symm :premises (@p257)) % 0.24/0.53 (step @p325 :rule trans :premises (@p324 @p323)) % 0.24/0.53 (step @p326 :rule refl :args (@t210)) % 0.24/0.53 (step @p327 :rule cong :premises (@p326 @p325) :args (@t226)) % 0.24/0.53 (step @p328 :rule trans :premises (@p142 @p205)) % 0.24/0.53 (step @p329 :rule cong :premises (@p328) :args (@t192)) % 0.24/0.53 (step @p330 :rule trans :premises (@p329 @p258)) % 0.24/0.53 (step @p331 :rule refl :args (@t131)) % 0.24/0.53 (step @p332 :rule cong :premises (@p331 @p330) :args (@t213)) % 0.24/0.53 (step @p333 :rule trans :premises (@p266 @p332 @p301 @p327 @p322 @p321)) % 0.24/0.53 (step @p334 :rule refl :args (@t130)) % 0.24/0.53 (step @p335 :rule cong :premises (@p334 @p333) :args (@t194)) % 0.24/0.53 (step @p336 :rule trans :premises (@p204 @p233 @p335 @p320 @p319)) % 0.24/0.53 (step-pop @p373 :rule scope :premises (@p336)) % 0.24/0.53 (step-pop @p374 :rule scope :premises (@p373)) % 0.24/0.53 (step-pop @p375 :rule scope :premises (@p374)) % 0.24/0.53 (step-pop @p376 :rule scope :premises (@p375)) % 0.24/0.53 (step-pop @p377 :rule scope :premises (@p376)) % 0.24/0.53 (step-pop @p378 :rule scope :premises (@p377)) % 0.24/0.53 (step-pop @p379 :rule scope :premises (@p378)) % 0.24/0.53 (step-pop @p380 :rule scope :premises (@p379)) % 0.34/0.53 (step-pop @p381 :rule scope :premises (@p380)) % 0.34/0.53 (step-pop @p382 :rule scope :premises (@p381)) % 0.34/0.53 (step-pop @p383 :rule scope :premises (@p382)) % 0.34/0.53 (step-pop @p384 :rule scope :premises (@p383)) % 0.34/0.53 (step-pop @p385 :rule scope :premises (@p384)) % 0.34/0.53 (step @p337 :rule process_scope :premises (@p385) :args (@t139)) % 0.34/0.53 (step @p351 :rule implies_elim :premises (@p337)) % 0.34/0.53 (step @p352 :rule cnf_and_neg :args (@t235)) % 0.34/0.53 (step @p353 :rule resolution :premises (@p352 @p351) :args (true @t235)) % 0.34/0.53 (step @p354 :rule reordering :premises (@p353) :args ((or @t140 @t139 (not @t207) (not @t155) (not @t165) (not @t174) (not @t232) (not @t190) (not @t195) (not @t211) (not @t214) (not @t233) (not @t228) (not @t234)))) % 0.34/0.53 (step @p355 false :rule chain_m_resolution :premises (@p354 @p305 @p301 @p266 @p262 @p258 @p257 @p233 @p229 @p205 @p204 @p178 @p142 @p117 @p115) :args (false (@list false false false false false false false false false false false false true false) (@list @t234 @t228 @t214 @t211 @t233 @t207 @t195 @t190 @t232 @t174 @t165 @t155 @t139 @t134))) % 0.34/0.53 ) % 0.34/0.53 % SZS output end Proof % 0.34/0.53 % cvc5 exiting %------------------------------------------------------------------------------