%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU428+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 : n021.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 08:51:45 AM UTC 2026 % Result : Theorem 0.52s 0.70s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU428+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:23:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.70 % SZS status Theorem % 0.52/0.70 % SZS output start Proof % 0.52/0.70 ( % 0.52/0.70 (declare-sort $$unsorted 0) % 0.52/0.70 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.m1_eqrel_1 (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.k5_relset_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.k7_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.k8_setfam_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.k4_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.k8_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.k6_relset_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.k5_subset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.52/0.70 (declare-const tptp.k3_pua2mss1 (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.k4_subset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.k3_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.52/0.70 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.52/0.70 (declare-const tptp.k2_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.70 (define @t1 () (@var "E" $$unsorted)) % 0.52/0.70 (define @t2 () (@var "D" $$unsorted)) % 0.52/0.70 (define @t3 () (@var "B" $$unsorted)) % 0.52/0.70 (define @t4 () (@var "A" $$unsorted)) % 0.52/0.70 (define @t5 () (@var "C" $$unsorted)) % 0.52/0.70 (define @t6 () (tptp.k4_subset_1 @t4 @t5 @t2)) % 0.52/0.70 (define @t7 () (= (tptp.k8_relset_2 @t4 @t3 @t6 @t1) (tptp.k5_subset_1 @t3 (tptp.k8_relset_2 @t4 @t3 @t5 @t1) (tptp.k8_relset_2 @t4 @t3 @t2 @t1)))) % 0.52/0.70 (define @t8 () (tptp.k2_zfmisc_1 @t4 @t3)) % 0.52/0.70 (define @t9 () (tptp.k1_zfmisc_1 @t8)) % 0.52/0.70 (define @t10 () (tptp.m1_subset_1 @t1 @t9)) % 0.52/0.70 (define @t11 () (@list @t1)) % 0.52/0.70 (define @t12 () (forall @t11 (=> @t10 @t7))) % 0.52/0.70 (define @t13 () (tptp.k1_zfmisc_1 @t4)) % 0.52/0.70 (define @t14 () (tptp.m1_subset_1 @t2 @t13)) % 0.52/0.70 (define @t15 () (=> @t14 @t12)) % 0.52/0.70 (define @t16 () (@list @t2)) % 0.52/0.70 (define @t17 () (forall @t16 @t15)) % 0.52/0.70 (define @t18 () (tptp.m1_subset_1 @t5 @t13)) % 0.52/0.70 (define @t19 () (=> @t18 @t17)) % 0.52/0.70 (define @t20 () (@list @t4 @t3 @t5)) % 0.52/0.70 (define @t21 () (forall @t20 @t19)) % 0.52/0.70 (define @t22 () (not @t21)) % 0.52/0.70 (define @t23 () (tptp.r2_hidden @t4 @t3)) % 0.52/0.70 (define @t24 () (@list @t4 @t3)) % 0.52/0.70 (define @t25 () (tptp.v1_relat_1 @t4)) % 0.52/0.70 (define @t26 () (tptp.v1_xboole_0 @t4)) % 0.52/0.70 (define @t27 () (@list @t4)) % 0.52/0.70 (define @t28 () (tptp.v1_relat_1 @t5)) % 0.52/0.70 (define @t29 () (tptp.m1_subset_1 @t5 @t9)) % 0.52/0.70 (define @t30 () (forall @t20 (=> @t29 @t28))) % 0.52/0.70 (define @t31 () (tptp.k2_xboole_0 @t4 @t3)) % 0.52/0.70 (define @t32 () (tptp.k3_xboole_0 @t4 @t3)) % 0.52/0.70 (define @t33 () (tptp.k4_subset_1 @t4 @t3 @t5)) % 0.52/0.70 (define @t34 () (= @t33 (tptp.k4_subset_1 @t4 @t5 @t3))) % 0.52/0.70 (define @t35 () (tptp.m1_subset_1 @t3 @t13)) % 0.52/0.70 (define @t36 () (and @t35 @t18)) % 0.52/0.70 (define @t37 () (forall @t20 (=> @t36 @t34))) % 0.52/0.70 (define @t38 () (tptp.k5_subset_1 @t4 @t3 @t5)) % 0.52/0.70 (define @t39 () (tptp.k3_pua2mss1 @t5)) % 0.52/0.70 (define @t40 () (tptp.k7_relset_2 @t4 @t3 @t5 @t2)) % 0.52/0.70 (define @t41 () (= @t40 (tptp.k8_setfam_1 @t3 (tptp.k4_relset_2 @t13 @t3 (tptp.k6_relset_2 @t3 @t4 @t2) @t39)))) % 0.52/0.70 (define @t42 () (tptp.m1_subset_1 @t2 @t9)) % 0.52/0.70 (define @t43 () (forall @t16 (=> @t42 @t41))) % 0.52/0.70 (define @t44 () (=> @t18 @t43)) % 0.52/0.70 (define @t45 () (forall @t20 @t44)) % 0.52/0.70 (define @t46 () (tptp.k3_pua2mss1 @t4)) % 0.52/0.70 (define @t47 () (tptp.k1_zfmisc_1 @t3)) % 0.52/0.70 (define @t48 () (tptp.k4_relset_2 @t4 @t3 @t5 @t2)) % 0.52/0.70 (define @t49 () (tptp.m1_subset_1 @t48 (tptp.k1_zfmisc_1 @t47))) % 0.52/0.70 (define @t50 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t4 @t47)))) % 0.52/0.70 (define @t51 () (@list @t4 @t3 @t5 @t2)) % 0.52/0.70 (define @t52 () (forall @t51 (=> @t50 @t49))) % 0.52/0.70 (define @t53 () (tptp.m1_subset_1 @t33 @t13)) % 0.52/0.70 (define @t54 () (forall @t20 (=> @t36 @t53))) % 0.52/0.70 (define @t55 () (tptp.k5_relset_2 @t4 @t3)) % 0.52/0.70 (define @t56 () (and (tptp.v1_relat_1 @t55) (tptp.v1_funct_1 @t55))) % 0.52/0.70 (define @t57 () (tptp.v1_relat_1 @t3)) % 0.52/0.70 (define @t58 () (forall @t24 (=> @t57 @t56))) % 0.52/0.70 (define @t59 () (tptp.k6_relset_2 @t4 @t3 @t5)) % 0.52/0.70 (define @t60 () (and (tptp.v1_funct_1 @t59) (tptp.v1_funct_2 @t59 @t47 @t13) (tptp.m2_relset_1 @t59 @t47 @t13))) % 0.52/0.70 (define @t61 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t3 @t4)))) % 0.52/0.70 (define @t62 () (forall @t20 (=> @t61 @t60))) % 0.52/0.70 (define @t63 () (tptp.k8_relset_2 @t4 @t3 @t5 @t2)) % 0.52/0.70 (define @t64 () (and @t18 @t42)) % 0.52/0.70 (define @t65 () (tptp.k8_setfam_1 @t4 @t3)) % 0.52/0.70 (define @t66 () (tptp.k1_zfmisc_1 @t13)) % 0.52/0.70 (define @t67 () (tptp.m1_subset_1 @t3 @t66)) % 0.52/0.70 (define @t68 () (tptp.m1_eqrel_1 @t3 @t4)) % 0.52/0.70 (define @t69 () (tptp.m2_relset_1 @t5 @t4 @t3)) % 0.52/0.70 (define @t70 () (forall @t20 (=> @t69 @t29))) % 0.52/0.70 (define @t71 () (@list @t3)) % 0.52/0.70 (define @t72 () (tptp.m1_relset_1 @t5 @t4 @t3)) % 0.52/0.70 (define @t73 () (@list @t5)) % 0.52/0.70 (define @t74 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 0.52/0.70 (define @t75 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.52/0.70 (define @t76 () (and @t25 @t57)) % 0.52/0.70 (define @t77 () (tptp.v1_xboole_0 @t3)) % 0.52/0.70 (define @t78 () (not @t77)) % 0.52/0.70 (define @t79 () (not @t26)) % 0.52/0.70 (define @t80 () (= @t48 (tptp.k9_relat_1 @t5 @t2))) % 0.52/0.70 (define @t81 () (forall @t51 (=> @t50 @t80))) % 0.52/0.70 (define @t82 () (= @t33 (tptp.k2_xboole_0 @t3 @t5))) % 0.52/0.70 (define @t83 () (forall @t20 (=> @t36 @t82))) % 0.52/0.70 (define @t84 () (= @t59 (tptp.k5_relset_2 @t3 @t5))) % 0.52/0.70 (define @t85 () (forall @t20 (=> @t61 @t84))) % 0.52/0.70 (define @t86 () (=> @t64 (= @t63 @t40))) % 0.52/0.70 (define @t87 () (forall @t51 @t86)) % 0.52/0.70 (define @t88 () (= (tptp.k9_relat_1 @t5 @t31) (tptp.k2_xboole_0 (tptp.k9_relat_1 @t5 @t4) (tptp.k9_relat_1 @t5 @t3)))) % 0.52/0.70 (define @t89 () (forall @t20 (=> @t28 @t88))) % 0.52/0.70 (define @t90 () (tptp.m1_subset_1 @t4 @t3)) % 0.52/0.70 (define @t91 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t5))) % 0.52/0.70 (define @t92 () (tptp.k8_setfam_1 @t4 @t5)) % 0.52/0.70 (define @t93 () (= @t65 (tptp.k5_subset_1 @t4 @t92 (tptp.k8_setfam_1 @t4 @t2)))) % 0.52/0.70 (define @t94 () (= @t3 (tptp.k4_subset_1 @t13 @t5 @t2))) % 0.52/0.70 (define @t95 () (=> @t94 @t93)) % 0.52/0.70 (define @t96 () (tptp.m1_subset_1 @t2 @t66)) % 0.52/0.70 (define @t97 () (forall @t16 (=> @t96 @t95))) % 0.52/0.70 (define @t98 () (tptp.m1_subset_1 @t5 @t66)) % 0.52/0.70 (define @t99 () (=> @t98 @t97)) % 0.52/0.70 (define @t100 () (forall @t73 @t99)) % 0.52/0.70 (define @t101 () (=> @t67 @t100)) % 0.52/0.70 (define @t102 () (forall @t24 @t101)) % 0.52/0.70 (define @t103 () (@var "BOUND_VARIABLE_7752" $$unsorted)) % 0.52/0.70 (define @t104 () (@var "BOUND_VARIABLE_7750" $$unsorted)) % 0.52/0.70 (define @t105 () (= (tptp.k8_relset_2 @t4 @t3 (tptp.k4_subset_1 @t4 @t5 @t104) @t103) (tptp.k5_subset_1 @t3 (tptp.k8_relset_2 @t4 @t3 @t5 @t103) (tptp.k8_relset_2 @t4 @t3 @t104 @t103)))) % 0.52/0.70 (define @t106 () (not (tptp.m1_subset_1 @t103 @t9))) % 0.52/0.70 (define @t107 () (not (tptp.m1_subset_1 @t104 @t13))) % 0.52/0.70 (define @t108 () (not @t18)) % 0.52/0.70 (define @t109 () (or @t108 @t107 @t106 @t105)) % 0.52/0.70 (define @t110 () (or @t107 @t106 @t105)) % 0.52/0.70 (define @t111 () (or @t108 @t110)) % 0.52/0.70 (define @t112 () (@list @t4 @t3 @t5 @t104 @t103)) % 0.52/0.70 (define @t113 () (forall @t112 @t111)) % 0.52/0.70 (define @t114 () (@list @t104 @t103)) % 0.52/0.70 (define @t115 () (forall @t114 @t111)) % 0.52/0.70 (define @t116 () (forall @t114 @t110)) % 0.52/0.70 (define @t117 () (@var "BOUND_VARIABLE_7730" $$unsorted)) % 0.52/0.70 (define @t118 () (or @t108 @t116)) % 0.52/0.70 (define @t119 () (= (tptp.k8_relset_2 @t4 @t3 @t6 @t117) (tptp.k5_subset_1 @t3 (tptp.k8_relset_2 @t4 @t3 @t5 @t117) (tptp.k8_relset_2 @t4 @t3 @t2 @t117)))) % 0.52/0.70 (define @t120 () (not (tptp.m1_subset_1 @t117 @t9))) % 0.52/0.70 (define @t121 () (not @t14)) % 0.52/0.70 (define @t122 () (or @t121 @t120 @t119)) % 0.52/0.70 (define @t123 () (@list @t2 @t117)) % 0.52/0.70 (define @t124 () (forall @t123 @t122)) % 0.52/0.70 (define @t125 () (or @t120 @t119)) % 0.52/0.70 (define @t126 () (or @t121 @t125)) % 0.52/0.70 (define @t127 () (forall @t123 @t126)) % 0.52/0.70 (define @t128 () (@list @t117)) % 0.52/0.70 (define @t129 () (forall @t128 @t126)) % 0.52/0.70 (define @t130 () (forall @t128 @t125)) % 0.52/0.70 (define @t131 () (or @t121 @t130)) % 0.52/0.70 (define @t132 () (forall @t11 (or (not @t10) @t7))) % 0.52/0.70 (define @t133 () (forall @t112 @t109)) % 0.52/0.70 (define @t134 () (@quantifiers_skolemize @t133 4)) % 0.52/0.70 (define @t135 () (@quantifiers_skolemize @t133 3)) % 0.52/0.70 (define @t136 () (@quantifiers_skolemize @t133 1)) % 0.52/0.70 (define @t137 () (@quantifiers_skolemize @t133 0)) % 0.52/0.70 (define @t138 () (tptp.k8_relset_2 @t137 @t136 @t135 @t134)) % 0.52/0.70 (define @t139 () (@quantifiers_skolemize @t133 2)) % 0.52/0.70 (define @t140 () (tptp.k8_relset_2 @t137 @t136 @t139 @t134)) % 0.52/0.70 (define @t141 () (tptp.k4_subset_1 @t137 @t139 @t135)) % 0.52/0.70 (define @t142 () (tptp.k8_relset_2 @t137 @t136 @t141 @t134)) % 0.52/0.70 (define @t143 () (= @t142 (tptp.k5_subset_1 @t136 @t140 @t138))) % 0.52/0.70 (define @t144 () (tptp.m1_subset_1 @t134 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t137 @t136)))) % 0.52/0.70 (define @t145 () (not @t144)) % 0.52/0.70 (define @t146 () (tptp.k1_zfmisc_1 @t137)) % 0.52/0.70 (define @t147 () (tptp.m1_subset_1 @t135 @t146)) % 0.52/0.70 (define @t148 () (not @t147)) % 0.52/0.70 (define @t149 () (tptp.m1_subset_1 @t139 @t146)) % 0.52/0.70 (define @t150 () (not @t149)) % 0.52/0.70 (define @t151 () (or @t150 @t148 @t145 @t143)) % 0.52/0.70 (define @t152 () (@list true)) % 0.52/0.70 (define @t153 () (@list @t151)) % 0.52/0.70 (define @t154 () (not @t35)) % 0.52/0.70 (define @t155 () (or @t154 @t108)) % 0.52/0.70 (define @t156 () (not @t36)) % 0.52/0.70 (define @t157 () (@list @t137 @t139 @t135)) % 0.52/0.70 (define @t158 () (tptp.k2_xboole_0 @t139 @t135)) % 0.52/0.70 (define @t159 () (= @t141 @t158)) % 0.52/0.70 (define @t160 () (or @t150 @t148 @t159)) % 0.52/0.70 (define @t161 () (@list false false false)) % 0.52/0.70 (define @t162 () (= @t40 @t63)) % 0.52/0.70 (define @t163 () (not @t42)) % 0.52/0.70 (define @t164 () (or @t108 @t163 @t162)) % 0.52/0.70 (define @t165 () (tptp.k7_relset_2 @t137 @t136 @t139 @t134)) % 0.52/0.70 (define @t166 () (or @t150 @t145 (= @t165 @t140))) % 0.52/0.70 (define @t167 () (forall @t51 @t164)) % 0.52/0.70 (define @t168 () (@list @t137 @t136 @t139 @t134)) % 0.52/0.70 (define @t169 () (= @t140 @t165)) % 0.52/0.70 (define @t170 () (or @t150 @t145 @t169)) % 0.52/0.70 (define @t171 () (@list false)) % 0.52/0.70 (define @t172 () (@list @t167)) % 0.52/0.70 (define @t173 () (tptp.k7_relset_2 @t137 @t136 @t135 @t134)) % 0.52/0.70 (define @t174 () (or @t148 @t145 (= @t173 @t138))) % 0.52/0.70 (define @t175 () (@list @t137 @t136 @t135 @t134)) % 0.52/0.70 (define @t176 () (= @t138 @t173)) % 0.52/0.70 (define @t177 () (or @t148 @t145 @t176)) % 0.52/0.70 (define @t178 () (tptp.k7_relset_2 @t137 @t136 @t141 @t134)) % 0.52/0.70 (define @t179 () (tptp.m1_subset_1 @t141 @t146)) % 0.52/0.70 (define @t180 () (not @t179)) % 0.52/0.70 (define @t181 () (or @t180 @t145 (= @t178 @t142))) % 0.52/0.70 (define @t182 () (@list @t137 @t136 @t141 @t134)) % 0.52/0.70 (define @t183 () (= @t142 @t178)) % 0.52/0.70 (define @t184 () (or @t180 @t145 @t183)) % 0.52/0.70 (define @t185 () (or @t150 @t148 @t179)) % 0.52/0.70 (define @t186 () (@var "BOUND_VARIABLE_7799" $$unsorted)) % 0.52/0.70 (define @t187 () (= (tptp.k7_relset_2 @t4 @t3 @t5 @t186) (tptp.k8_setfam_1 @t3 (tptp.k4_relset_2 @t13 @t3 (tptp.k6_relset_2 @t3 @t4 @t186) @t39)))) % 0.52/0.70 (define @t188 () (not (tptp.m1_subset_1 @t186 @t9))) % 0.52/0.70 (define @t189 () (or @t188 @t187)) % 0.52/0.70 (define @t190 () (or @t108 @t189)) % 0.52/0.70 (define @t191 () (forall (@list @t4 @t3 @t5 @t186) @t190)) % 0.52/0.70 (define @t192 () (@list @t186)) % 0.52/0.70 (define @t193 () (forall @t192 @t190)) % 0.52/0.70 (define @t194 () (forall @t192 @t189)) % 0.52/0.70 (define @t195 () (@list @t2)) % 0.52/0.70 (define @t196 () (or @t108 @t194)) % 0.52/0.70 (define @t197 () (forall @t16 (or @t163 @t41))) % 0.52/0.70 (define @t198 () (tptp.k3_pua2mss1 @t139)) % 0.52/0.70 (define @t199 () (tptp.k6_relset_2 @t136 @t137 @t134)) % 0.52/0.70 (define @t200 () (tptp.k4_relset_2 @t146 @t136 @t199 @t198)) % 0.52/0.70 (define @t201 () (tptp.k8_setfam_1 @t136 @t200)) % 0.52/0.70 (define @t202 () (= @t165 @t201)) % 0.52/0.70 (define @t203 () (or @t150 @t145 @t202)) % 0.52/0.70 (define @t204 () (tptp.k3_pua2mss1 @t135)) % 0.52/0.70 (define @t205 () (tptp.k4_relset_2 @t146 @t136 @t199 @t204)) % 0.52/0.70 (define @t206 () (tptp.k8_setfam_1 @t136 @t205)) % 0.52/0.70 (define @t207 () (= @t173 @t206)) % 0.52/0.70 (define @t208 () (or @t148 @t145 @t207)) % 0.52/0.70 (define @t209 () (tptp.k3_pua2mss1 @t141)) % 0.52/0.70 (define @t210 () (tptp.k4_relset_2 @t146 @t136 @t199 @t209)) % 0.52/0.70 (define @t211 () (tptp.k8_setfam_1 @t136 @t210)) % 0.52/0.70 (define @t212 () (= @t178 @t211)) % 0.52/0.70 (define @t213 () (or @t180 @t145 @t212)) % 0.52/0.70 (define @t214 () (@list @t146 @t136 @t199 @t198)) % 0.52/0.70 (define @t215 () (tptp.k1_zfmisc_1 @t136)) % 0.52/0.70 (define @t216 () (@list @t136 @t137 @t134)) % 0.52/0.70 (define @t217 () (tptp.m2_relset_1 @t199 @t146 @t215)) % 0.52/0.70 (define @t218 () (and (tptp.v1_funct_1 @t199) (tptp.v1_funct_2 @t199 @t146 @t215) @t217)) % 0.52/0.70 (define @t219 () (or @t145 @t218)) % 0.52/0.70 (define @t220 () (@list false false)) % 0.52/0.70 (define @t221 () (tptp.m1_subset_1 @t199 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t146 @t215)))) % 0.52/0.70 (define @t222 () (not @t217)) % 0.52/0.70 (define @t223 () (or @t222 @t221)) % 0.52/0.70 (define @t224 () (tptp.k9_relat_1 @t199 @t198)) % 0.52/0.70 (define @t225 () (= @t200 @t224)) % 0.52/0.70 (define @t226 () (not @t221)) % 0.52/0.70 (define @t227 () (or @t226 @t225)) % 0.52/0.70 (define @t228 () (@list @t146 @t136 @t199 @t204)) % 0.52/0.70 (define @t229 () (tptp.k9_relat_1 @t199 @t204)) % 0.52/0.70 (define @t230 () (= @t205 @t229)) % 0.52/0.70 (define @t231 () (or @t226 @t230)) % 0.52/0.70 (define @t232 () (tptp.k9_relat_1 @t199 @t209)) % 0.52/0.70 (define @t233 () (= @t210 @t232)) % 0.52/0.70 (define @t234 () (or @t226 @t233)) % 0.52/0.70 (define @t235 () (@list @t215 @t200 @t205)) % 0.52/0.70 (define @t236 () (tptp.k1_zfmisc_1 @t215)) % 0.52/0.70 (define @t237 () (tptp.m1_subset_1 @t205 @t236)) % 0.52/0.70 (define @t238 () (or @t226 @t237)) % 0.52/0.70 (define @t239 () (tptp.m1_subset_1 @t200 @t236)) % 0.52/0.70 (define @t240 () (or @t226 @t239)) % 0.52/0.70 (define @t241 () (tptp.k4_subset_1 @t215 @t205 @t200)) % 0.52/0.70 (define @t242 () (tptp.k4_subset_1 @t215 @t200 @t205)) % 0.52/0.70 (define @t243 () (= @t242 @t241)) % 0.52/0.70 (define @t244 () (not @t237)) % 0.52/0.70 (define @t245 () (not @t239)) % 0.52/0.70 (define @t246 () (or @t245 @t244 @t243)) % 0.52/0.70 (define @t247 () (= @t241 (tptp.k2_xboole_0 @t205 @t200))) % 0.52/0.70 (define @t248 () (or @t244 @t245 @t247)) % 0.52/0.70 (define @t249 () (@var "BOUND_VARIABLE_8040" $$unsorted)) % 0.52/0.70 (define @t250 () (@var "BOUND_VARIABLE_8038" $$unsorted)) % 0.52/0.70 (define @t251 () (tptp.k4_subset_1 @t13 @t250 @t249)) % 0.52/0.70 (define @t252 () (tptp.k8_setfam_1 @t4 @t251)) % 0.52/0.70 (define @t253 () (tptp.k5_subset_1 @t4 (tptp.k8_setfam_1 @t4 @t250) (tptp.k8_setfam_1 @t4 @t249))) % 0.52/0.70 (define @t254 () (= @t253 @t252)) % 0.52/0.70 (define @t255 () (not (tptp.m1_subset_1 @t249 @t66))) % 0.52/0.70 (define @t256 () (not (tptp.m1_subset_1 @t250 @t66))) % 0.52/0.70 (define @t257 () (not (tptp.m1_subset_1 @t251 @t66))) % 0.52/0.70 (define @t258 () (not (= @t251 @t251))) % 0.52/0.70 (define @t259 () (or @t257 @t256 @t255 @t258 (= @t252 @t253))) % 0.52/0.70 (define @t260 () (@list @t4 @t250 @t249)) % 0.52/0.70 (define @t261 () (= @t65 @t253)) % 0.52/0.70 (define @t262 () (not (= @t3 @t251))) % 0.52/0.70 (define @t263 () (not @t67)) % 0.52/0.70 (define @t264 () (or @t262 @t263 @t256 @t255 @t262 @t261)) % 0.52/0.70 (define @t265 () (or @t263 @t256 @t255 @t262 @t261)) % 0.52/0.70 (define @t266 () (forall @t71 @t265)) % 0.52/0.70 (define @t267 () (forall @t260 @t266)) % 0.52/0.70 (define @t268 () (forall (@list @t4 @t250 @t249 @t3) @t265)) % 0.52/0.70 (define @t269 () (@list @t4 @t3 @t250 @t249)) % 0.52/0.70 (define @t270 () (or @t256 @t255 @t262 @t261)) % 0.52/0.70 (define @t271 () (or @t263 @t270)) % 0.52/0.70 (define @t272 () (forall @t269 @t271)) % 0.52/0.70 (define @t273 () (@list @t250 @t249)) % 0.52/0.70 (define @t274 () (forall @t273 @t271)) % 0.52/0.70 (define @t275 () (forall @t273 @t270)) % 0.52/0.70 (define @t276 () (@var "BOUND_VARIABLE_8018" $$unsorted)) % 0.52/0.70 (define @t277 () (or @t263 @t275)) % 0.52/0.70 (define @t278 () (= @t65 (tptp.k5_subset_1 @t4 @t92 (tptp.k8_setfam_1 @t4 @t276)))) % 0.52/0.70 (define @t279 () (not (= @t3 (tptp.k4_subset_1 @t13 @t5 @t276)))) % 0.52/0.70 (define @t280 () (not (tptp.m1_subset_1 @t276 @t66))) % 0.52/0.70 (define @t281 () (not @t98)) % 0.52/0.70 (define @t282 () (or @t281 @t280 @t279 @t278)) % 0.52/0.70 (define @t283 () (@list @t5 @t276)) % 0.52/0.70 (define @t284 () (forall @t283 @t282)) % 0.52/0.70 (define @t285 () (or @t280 @t279 @t278)) % 0.52/0.70 (define @t286 () (or @t281 @t285)) % 0.52/0.70 (define @t287 () (forall @t283 @t286)) % 0.52/0.70 (define @t288 () (@list @t276)) % 0.52/0.70 (define @t289 () (forall @t288 @t286)) % 0.52/0.70 (define @t290 () (forall @t288 @t285)) % 0.52/0.70 (define @t291 () (or @t281 @t290)) % 0.52/0.70 (define @t292 () (not @t94)) % 0.52/0.70 (define @t293 () (not @t96)) % 0.52/0.70 (define @t294 () (or @t293 @t292 @t93)) % 0.52/0.70 (define @t295 () (forall @t16 @t294)) % 0.52/0.70 (define @t296 () (tptp.m1_subset_1 @t242 @t236)) % 0.52/0.70 (define @t297 () (or @t245 @t244 @t296)) % 0.52/0.70 (define @t298 () (tptp.k5_subset_1 @t136 @t201 @t206)) % 0.52/0.70 (define @t299 () (= @t298 (tptp.k8_setfam_1 @t136 @t242))) % 0.52/0.70 (define @t300 () (not @t296)) % 0.52/0.70 (define @t301 () (or @t300 @t245 @t244 @t299)) % 0.52/0.70 (define @t302 () (tptp.v1_relat_1 @t134)) % 0.52/0.70 (define @t303 () (or @t145 @t302)) % 0.52/0.70 (define @t304 () (tptp.k5_relset_2 @t137 @t134)) % 0.52/0.70 (define @t305 () (tptp.v1_relat_1 @t304)) % 0.52/0.70 (define @t306 () (and @t305 (tptp.v1_funct_1 @t304))) % 0.52/0.70 (define @t307 () (not @t302)) % 0.52/0.70 (define @t308 () (or @t307 @t306)) % 0.52/0.70 (define @t309 () (= @t199 @t304)) % 0.52/0.70 (define @t310 () (or @t145 @t309)) % 0.52/0.70 (define @t311 () (tptp.v1_relat_1 @t199)) % 0.52/0.70 (define @t312 () (tptp.k2_xboole_0 @t229 @t224)) % 0.52/0.70 (define @t313 () (tptp.k2_xboole_0 @t204 @t198)) % 0.52/0.70 (define @t314 () (= (tptp.k9_relat_1 @t199 @t313) @t312)) % 0.52/0.70 (define @t315 () (not @t311)) % 0.52/0.70 (define @t316 () (or @t315 @t314)) % 0.52/0.70 (define @t317 () (tptp.k2_xboole_0 @t135 @t139)) % 0.52/0.70 (define @t318 () (= @t158 @t317)) % 0.52/0.70 (define @t319 () (= (tptp.k3_pua2mss1 @t317) @t313)) % 0.52/0.70 (define @t320 () (and @t159 @t169 @t176 @t183 @t318 @t202 @t207 @t212 @t225 @t230 @t233 @t319 @t299 @t243 @t247 @t314)) % 0.52/0.70 (assume @p1 @t22) % 0.52/0.70 (assume @p2 (forall @t24 (=> @t23 (not (tptp.r2_hidden @t3 @t4))))) % 0.52/0.70 (assume @p3 (forall @t27 (=> @t26 @t25))) % 0.52/0.70 (assume @p4 @t30) % 0.52/0.70 (assume @p5 (forall @t24 (= @t31 (tptp.k2_xboole_0 @t3 @t4)))) % 0.52/0.70 (assume @p6 (forall @t24 (= @t32 (tptp.k3_xboole_0 @t3 @t4)))) % 0.52/0.70 (assume @p7 @t37) % 0.52/0.70 (assume @p8 (forall @t20 (=> @t36 (= @t38 (tptp.k5_subset_1 @t4 @t5 @t3))))) % 0.52/0.70 (assume @p9 @t45) % 0.52/0.70 (assume @p10 true) % 0.52/0.70 (assume @p11 (forall @t27 (tptp.m1_eqrel_1 @t46 @t4))) % 0.52/0.70 (assume @p12 @t52) % 0.52/0.70 (assume @p13 @t54) % 0.52/0.70 (assume @p14 @t58) % 0.52/0.70 (assume @p15 (forall @t20 (=> @t36 (tptp.m1_subset_1 @t38 @t13)))) % 0.52/0.70 (assume @p16 @t62) % 0.52/0.70 (assume @p17 (forall @t51 (=> @t64 (tptp.m1_subset_1 @t63 @t47)))) % 0.52/0.70 (assume @p18 (forall @t24 (=> @t67 (tptp.m1_subset_1 @t65 @t13)))) % 0.52/0.70 (assume @p19 (forall @t24 (=> @t68 @t67))) % 0.52/0.70 (assume @p20 @t70) % 0.52/0.70 (assume @p21 (forall @t27 (exists @t71 @t68))) % 0.52/0.70 (assume @p22 (forall @t24 (exists @t73 @t72))) % 0.52/0.70 (assume @p23 (forall @t27 (exists @t71 (tptp.m1_subset_1 @t3 @t4)))) % 0.52/0.70 (assume @p24 (forall @t24 (exists @t73 @t69))) % 0.52/0.70 (assume @p25 (and @t75 @t74 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 0.52/0.70 (assume @p26 (forall @t24 (=> @t76 (tptp.v1_relat_1 @t32)))) % 0.52/0.70 (assume @p27 (forall @t27 (not (tptp.v1_xboole_0 @t13)))) % 0.52/0.70 (assume @p28 (forall @t24 (tptp.v1_relat_1 @t8))) % 0.52/0.70 (assume @p29 (forall @t24 (=> @t76 (tptp.v1_relat_1 @t31)))) % 0.52/0.70 (assume @p30 (and @t75 @t74)) % 0.52/0.70 (assume @p31 (forall @t24 (=> (and @t79 @t78) (not (tptp.v1_xboole_0 @t8))))) % 0.52/0.70 (assume @p32 (forall @t24 (= (tptp.k2_xboole_0 @t4 @t4) @t4))) % 0.52/0.70 (assume @p33 (forall @t24 (= (tptp.k3_xboole_0 @t4 @t4) @t4))) % 0.52/0.70 (assume @p34 (forall @t20 (=> @t36 (= (tptp.k4_subset_1 @t4 @t3 @t3) @t3)))) % 0.52/0.70 (assume @p35 (forall @t20 (=> @t36 (= (tptp.k5_subset_1 @t4 @t3 @t3) @t3)))) % 0.52/0.70 (assume @p36 (exists @t27 (and @t26 @t25))) % 0.52/0.70 (assume @p37 (forall @t27 (=> @t79 (exists @t71 (and @t35 @t78))))) % 0.52/0.70 (assume @p38 (forall @t24 (exists @t73 (and @t72 @t28 (tptp.v1_funct_1 @t5))))) % 0.52/0.70 (assume @p39 (exists @t27 (and @t79 @t25))) % 0.52/0.70 (assume @p40 (forall @t27 (exists @t71 (and @t35 @t77)))) % 0.52/0.70 (assume @p41 (exists @t27 (and @t25 (tptp.v3_relat_1 @t4)))) % 0.52/0.70 (assume @p42 @t81) % 0.52/0.70 (assume @p43 @t83) % 0.52/0.70 (assume @p44 (forall @t20 (=> @t36 (= @t38 (tptp.k3_xboole_0 @t3 @t5))))) % 0.52/0.70 (assume @p45 @t85) % 0.52/0.70 (assume @p46 @t87) % 0.52/0.70 (assume @p47 (forall @t20 (= @t69 @t72))) % 0.52/0.70 (assume @p48 (forall @t24 (tptp.r1_tarski @t4 @t4))) % 0.52/0.70 (assume @p49 @t89) % 0.52/0.70 (assume @p50 (forall @t27 (= (tptp.k2_xboole_0 @t4 tptp.k1_xboole_0) @t4))) % 0.52/0.70 (assume @p51 (forall @t24 (=> @t23 @t90))) % 0.52/0.70 (assume @p52 (forall @t27 (= (tptp.k3_xboole_0 @t4 tptp.k1_xboole_0) tptp.k1_xboole_0))) % 0.52/0.70 (assume @p53 (forall @t24 (=> @t90 (or @t77 @t23)))) % 0.52/0.70 (assume @p54 (forall @t24 (= (tptp.k3_pua2mss1 @t31) (tptp.k2_xboole_0 @t46 (tptp.k3_pua2mss1 @t3))))) % 0.52/0.70 (assume @p55 (forall @t24 (= (tptp.m1_subset_1 @t4 @t47) (tptp.r1_tarski @t4 @t3)))) % 0.52/0.70 (assume @p56 (forall @t20 (=> (and @t23 @t91) (tptp.m1_subset_1 @t4 @t5)))) % 0.52/0.70 (assume @p57 (forall @t20 (not (and @t23 @t91 (tptp.v1_xboole_0 @t5))))) % 0.52/0.70 (assume @p58 (forall @t27 (=> @t26 (= @t4 tptp.k1_xboole_0)))) % 0.52/0.70 (assume @p59 (forall @t24 (not (and @t23 @t77)))) % 0.52/0.70 (assume @p60 (forall @t24 (not (and @t26 (not (= @t4 @t3)) @t77)))) % 0.52/0.70 (assume @p61 @t102) % 0.52/0.70 (step @p62 :rule aci_norm :args ((= @t111 @t109))) % 0.52/0.70 (step @p63 :rule cong :premises (@p62) :args (@t113)) % 0.52/0.70 (step @p64 :rule quant-merge-prenex :args ((= (forall @t20 @t115) @t113))) % 0.52/0.70 (step @p65 :rule alpha_equiv :args (@t116 (@list @t104 @t103) (@list @t2 @t117))) % 0.52/0.70 (step @p66 :rule refl :args (@t108)) % 0.52/0.70 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t118)) % 0.52/0.70 (step @p68 :rule quant-miniscope-or :args ((= @t115 @t118))) % 0.52/0.70 (step @p69 :rule trans :premises (@p68 @p67)) % 0.52/0.70 (step @p70 :rule symm :premises (@p69)) % 0.52/0.70 (step @p71 :rule cong :premises (@p70) :args ((forall @t20 (or @t108 @t124)))) % 0.52/0.70 (step @p72 :rule trans :premises (@p71 @p64)) % 0.52/0.70 (step @p73 :rule trans :premises (@p72 @p63)) % 0.52/0.70 (step @p74 :rule bool-impl-elim :args (@t18 @t124)) % 0.52/0.70 (step @p75 :rule cong :premises (@p74) :args ((forall @t20 (=> @t18 @t124)))) % 0.52/0.70 (step @p76 :rule trans :premises (@p75 @p73)) % 0.52/0.70 (step @p77 :rule aci_norm :args ((= @t126 @t122))) % 0.52/0.70 (step @p78 :rule cong :premises (@p77) :args (@t127)) % 0.52/0.70 (step @p79 :rule quant-merge-prenex :args ((= (forall @t16 @t129) @t127))) % 0.52/0.70 (step @p80 :rule alpha_equiv :args (@t130 (@list @t117) (@list @t1))) % 0.52/0.70 (step @p81 :rule refl :args (@t121)) % 0.52/0.70 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t131)) % 0.52/0.70 (step @p83 :rule 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(forall @t269 @t265) @t268))) % 0.52/0.71 (step @p322 :rule trans :premises (@p321 @p320 @p318)) % 0.52/0.71 (step @p323 :rule trans :premises (@p322 @p313)) % 0.52/0.71 (step @p324 :rule aci_norm :args ((= @t271 @t265))) % 0.52/0.71 (step @p325 :rule cong :premises (@p324) :args (@t272)) % 0.52/0.71 (step @p326 :rule trans :premises (@p325 @p323)) % 0.52/0.71 (step @p327 :rule quant-merge-prenex :args ((= (forall @t24 @t274) @t272))) % 0.52/0.71 (step @p328 :rule alpha_equiv :args (@t275 (@list @t250 @t249) (@list @t5 @t276))) % 0.52/0.71 (step @p329 :rule refl :args (@t263)) % 0.52/0.71 (step @p330 :rule nary_cong :premises (@p329 @p328) :args (@t277)) % 0.52/0.71 (step @p331 :rule quant-miniscope-or :args ((= @t274 @t277))) % 0.52/0.71 (step @p332 :rule trans :premises (@p331 @p330)) % 0.52/0.71 (step @p333 :rule symm :premises (@p332)) % 0.52/0.71 (step @p334 :rule cong :premises (@p333) :args ((forall @t24 (or @t263 @t284)))) % 0.52/0.71 (step @p335 :rule trans :premises (@p334 @p327)) % 0.52/0.71 (step @p336 :rule trans :premises (@p335 @p326)) % 0.52/0.71 (step @p337 :rule bool-impl-elim :args (@t67 @t284)) % 0.52/0.71 (step @p338 :rule cong :premises (@p337) :args ((forall @t24 (=> @t67 @t284)))) % 0.52/0.71 (step @p339 :rule trans :premises (@p338 @p336)) % 0.52/0.71 (step @p340 :rule aci_norm :args ((= @t286 @t282))) % 0.52/0.71 (step @p341 :rule cong :premises (@p340) :args (@t287)) % 0.52/0.71 (step @p342 :rule quant-merge-prenex :args ((= (forall @t73 @t289) @t287))) % 0.52/0.71 (step @p343 :rule alpha_equiv :args (@t290 (@list @t276) @t195)) % 0.52/0.71 (step @p344 :rule refl :args (@t281)) % 0.52/0.71 (step @p345 :rule nary_cong :premises (@p344 @p343) :args (@t291)) % 0.52/0.71 (step @p346 :rule quant-miniscope-or :args ((= @t289 @t291))) % 0.52/0.71 (step @p347 :rule trans :premises (@p346 @p345)) % 0.52/0.71 (step @p348 :rule symm :premises (@p347)) % 0.52/0.71 (step @p349 :rule cong :premises (@p348) :args ((forall @t73 (or @t281 @t295)))) % 0.52/0.71 (step @p350 :rule trans :premises (@p349 @p342)) % 0.52/0.71 (step @p351 :rule trans :premises (@p350 @p341)) % 0.52/0.71 (step @p352 :rule bool-impl-elim :args (@t98 @t295)) % 0.52/0.71 (step @p353 :rule cong :premises (@p352) :args ((forall @t73 (=> @t98 @t295)))) % 0.52/0.71 (step @p354 :rule trans :premises (@p353 @p351)) % 0.52/0.71 (step @p355 :rule aci_norm :args ((= (or @t293 (or @t292 @t93)) @t294))) % 0.52/0.71 (step @p356 :rule bool-impl-elim :args (@t94 @t93)) % 0.52/0.71 (step @p357 :rule refl :args (@t293)) % 0.52/0.71 (step @p358 :rule nary_cong :premises (@p357 @p356) :args ((or @t293 @t95))) % 0.52/0.71 (step @p359 :rule trans :premises (@p358 @p355)) % 0.52/0.71 (step @p360 :rule bool-impl-elim :args (@t96 @t95)) % 0.52/0.71 (step @p361 :rule trans :premises (@p360 @p359)) % 0.52/0.71 (step @p362 :rule cong :premises (@p361) :args (@t97)) % 0.52/0.71 (step @p363 :rule refl :args (@t98)) % 0.52/0.71 (step @p364 :rule cong :premises (@p363 @p362) :args (@t99)) % 0.52/0.71 (step @p365 :rule cong :premises (@p364) :args (@t100)) % 0.52/0.71 (step @p366 :rule trans :premises (@p365 @p354)) % 0.52/0.71 (step @p367 :rule refl :args (@t67)) % 0.52/0.71 (step @p368 :rule cong :premises (@p367 @p366) :args (@t101)) % 0.52/0.71 (step @p369 :rule cong :premises (@p368) :args (@t102)) % 0.52/0.71 (step @p370 :rule trans :premises (@p369 @p339)) % 0.52/0.71 (step @p371 :rule eq_resolve :premises (@p61 @p370)) % 0.52/0.71 (step @p372 :rule instantiate :premises (@p371) :args ((@list @t136 @t200 @t205))) % 0.52/0.71 (step @p373 :rule instantiate :premises (@p201) :args (@t235)) % 0.52/0.71 (step @p374 :rule cnf_or_pos :args (@t297)) % 0.52/0.71 (step @p375 :rule reordering :premises (@p374) :args ((or @t296 @t245 @t244 (not @t297)))) % 0.52/0.71 (step @p376 :rule chain_m_resolution :premises (@p375 @p294 @p290 @p373) :args (@t296 @t161 (@list @t239 @t237 @t297))) % 0.52/0.71 (step @p377 :rule cnf_or_pos :args (@t301)) % 0.52/0.71 (step @p378 :rule reordering :premises (@p377) :args ((or @t300 @t245 @t244 @t299 (not @t301)))) % 0.52/0.71 (step @p379 :rule chain_m_resolution :premises (@p378 @p376 @p294 @p290 @p372) :args (@t299 (@list false false false false) (@list @t296 @t239 @t237 @t301))) % 0.52/0.71 (step @p380 :rule bool-impl-elim :args (@t28 @t88)) % 0.52/0.71 (step @p381 :rule cong :premises (@p380) :args (@t89)) % 0.52/0.71 (step @p382 :rule eq_resolve :premises (@p49 @p381)) % 0.52/0.71 (step @p383 :rule instantiate :premises (@p382) :args ((@list @t204 @t198 @t199))) % 0.52/0.71 (step @p384 :rule bool-impl-elim :args (@t57 @t56)) % 0.52/0.71 (step @p385 :rule cong :premises (@p384) :args (@t58)) % 0.52/0.71 (step @p386 :rule eq_resolve :premises (@p14 @p385)) % 0.52/0.71 (step @p387 :rule instantiate :premises (@p386) :args ((@list @t137 @t134))) % 0.52/0.71 (step @p388 :rule bool-impl-elim :args (@t29 @t28)) % 0.52/0.71 (step @p389 :rule cong :premises (@p388) :args (@t30)) % 0.52/0.71 (step @p390 :rule eq_resolve :premises (@p4 @p389)) % 0.52/0.71 (step @p391 :rule instantiate :premises (@p390) :args ((@list @t137 @t136 @t134))) % 0.52/0.71 (step @p392 :rule cnf_or_pos :args (@t303)) % 0.52/0.71 (step @p393 :rule reordering :premises (@p392) :args ((or @t145 @t302 (not @t303)))) % 0.52/0.71 (step @p394 :rule chain_m_resolution :premises (@p393 @p165 @p391) :args (@t302 @t220 (@list @t144 @t303))) % 0.52/0.71 (step @p395 :rule cnf_or_pos :args (@t308)) % 0.52/0.71 (step @p396 :rule reordering :premises (@p395) :args ((or @t307 @t306 (not @t308)))) % 0.52/0.71 (step @p397 :rule chain_m_resolution :premises (@p396 @p394 @p387) :args (@t306 @t220 (@list @t302 @t308))) % 0.52/0.71 (step @p398 :rule cnf_and_pos :args (@t306 0)) % 0.52/0.71 (step @p399 :rule reordering :premises (@p398) :args ((or @t305 (not @t306)))) % 0.52/0.71 (step @p400 :rule chain_m_resolution :premises (@p399 @p397) :args (@t305 @t171 (@list @t306))) % 0.52/0.71 (step @p401 :rule true_intro :premises (@p400)) % 0.52/0.71 (step @p402 :rule bool-impl-elim :args (@t61 @t84)) % 0.52/0.71 (step @p403 :rule cong :premises (@p402) :args (@t85)) % 0.52/0.71 (step @p404 :rule eq_resolve :premises (@p45 @p403)) % 0.52/0.71 (step @p405 :rule instantiate :premises (@p404) :args (@t216)) % 0.52/0.71 (step @p406 :rule cnf_or_pos :args (@t310)) % 0.52/0.71 (step @p407 :rule reordering :premises (@p406) :args ((or @t145 @t309 (not @t310)))) % 0.52/0.71 (step @p408 :rule chain_m_resolution :premises (@p407 @p165 @p405) :args (@t309 @t220 (@list @t144 @t310))) % 0.52/0.71 (step @p409 :rule cong :premises (@p408) :args (@t311)) % 0.52/0.71 (step @p410 :rule trans :premises (@p409 @p401)) % 0.52/0.71 (step @p411 :rule true_elim :premises (@p410)) % 0.52/0.71 (step @p412 :rule cnf_or_pos :args (@t316)) % 0.52/0.71 (step @p413 :rule reordering :premises (@p412) :args ((or @t315 @t314 (not @t316)))) % 0.52/0.71 (step @p414 :rule chain_m_resolution :premises (@p413 @p411 @p383) :args (@t314 @t220 (@list @t311 @t316))) % 0.52/0.71 (assume-push @p481 @t159) % 0.52/0.71 (assume-push @p482 @t169) % 0.52/0.71 (assume-push @p483 @t176) % 0.52/0.71 (assume-push @p484 @t183) % 0.52/0.71 (assume-push @p485 @t318) % 0.52/0.71 (assume-push @p486 @t202) % 0.52/0.71 (assume-push @p487 @t207) % 0.52/0.71 (assume-push @p488 @t212) % 0.52/0.71 (assume-push @p489 @t225) % 0.52/0.71 (assume-push @p490 @t230) % 0.52/0.71 (assume-push @p491 @t233) % 0.52/0.71 (assume-push @p492 @t319) % 0.52/0.71 (assume-push @p493 @t299) % 0.52/0.71 (assume-push @p494 @t243) % 0.52/0.71 (assume-push @p495 @t247) % 0.52/0.71 (assume-push @p496 @t314) % 0.52/0.71 (step @p431 :rule symm :premises (@p182)) % 0.52/0.71 (step @p432 :rule symm :premises (@p237)) % 0.52/0.71 (step @p433 :rule trans :premises (@p432 @p431)) % 0.52/0.71 (step @p434 :rule symm :premises (@p168)) % 0.52/0.71 (step @p435 :rule symm :premises (@p233)) % 0.52/0.71 (step @p436 :rule trans :premises (@p435 @p434)) % 0.52/0.71 (step @p437 :rule refl :args (@t136)) % 0.52/0.71 (step @p438 :rule cong :premises (@p437 @p436 @p433) :args (@t298)) % 0.52/0.71 (step @p439 :rule symm :premises (@p379)) % 0.52/0.71 (step @p440 :rule symm :premises (@p297)) % 0.52/0.71 (step @p441 :rule symm :premises (@p301)) % 0.52/0.71 (step @p442 :rule symm :premises (@p266)) % 0.52/0.71 (step @p443 :rule symm :premises (@p270)) % 0.52/0.71 (step @p444 :rule cong :premises (@p443 @p442) :args (@t312)) % 0.52/0.71 (step @p445 :rule trans :premises (@p132 @p209)) % 0.52/0.71 (step @p446 :rule cong :premises (@p445) :args (@t209)) % 0.52/0.71 (step @p447 :rule trans :premises (@p446 @p242)) % 0.52/0.71 (step @p448 :rule refl :args (@t199)) % 0.52/0.71 (step @p449 :rule cong :premises (@p448 @p447) :args (@t232)) % 0.52/0.71 (step @p450 :rule trans :premises (@p274 @p449 @p414 @p444 @p441 @p440)) % 0.52/0.71 (step @p451 :rule cong :premises (@p437 @p450) :args (@t211)) % 0.52/0.71 (step @p452 :rule trans :premises (@p208 @p241 @p451 @p439 @p438)) % 0.52/0.71 (step-pop @p497 :rule scope :premises (@p452)) % 0.52/0.71 (step-pop @p498 :rule scope :premises (@p497)) % 0.52/0.71 (step-pop @p499 :rule scope :premises (@p498)) % 0.52/0.71 (step-pop @p500 :rule scope :premises (@p499)) % 0.52/0.71 (step-pop @p501 :rule scope :premises (@p500)) % 0.52/0.71 (step-pop @p502 :rule scope :premises (@p501)) % 0.52/0.71 (step-pop @p503 :rule scope :premises (@p502)) % 0.52/0.71 (step-pop @p504 :rule scope :premises (@p503)) % 0.52/0.71 (step-pop @p505 :rule scope :premises (@p504)) % 0.52/0.71 (step-pop @p506 :rule scope :premises (@p505)) % 0.52/0.71 (step-pop @p507 :rule scope :premises (@p506)) % 0.52/0.71 (step-pop @p508 :rule scope :premises (@p507)) % 0.52/0.71 (step-pop @p509 :rule scope :premises (@p508)) % 0.52/0.71 (step-pop @p510 :rule scope :premises (@p509)) % 0.52/0.71 (step-pop @p511 :rule scope :premises (@p510)) % 0.52/0.71 (step-pop @p512 :rule scope :premises (@p511)) % 0.52/0.71 (step @p453 :rule process_scope :premises (@p512) :args (@t143)) % 0.52/0.71 (step @p470 :rule implies_elim :premises (@p453)) % 0.52/0.71 (step @p471 :rule cnf_and_neg :args (@t320)) % 0.52/0.71 (step @p472 :rule resolution :premises (@p471 @p470) :args (true @t320)) % 0.52/0.71 (step @p473 :rule reordering :premises (@p472) :args ((or @t143 (not @t159) (not @t169) (not @t176) (not @t183) (not @t318) (not @t202) (not @t207) (not @t212) (not @t225) (not @t230) (not @t233) (not @t319) (not @t299) (not @t243) (not @t247) (not @t314)))) % 0.52/0.71 (step @p474 false :rule chain_m_resolution :premises (@p473 @p414 @p379 @p301 @p297 @p274 @p270 @p266 @p242 @p241 @p237 @p233 @p209 @p208 @p182 @p168 @p132 @p106) :args (false (@list false false false false false false false false false false false false false false false false true) (@list @t314 @t299 @t247 @t243 @t233 @t230 @t225 @t319 @t212 @t207 @t202 @t318 @t183 @t176 @t169 @t159 @t143))) % 0.52/0.71 ) % 0.52/0.71 % SZS output end Proof % 0.52/0.71 % cvc5 exiting %------------------------------------------------------------------------------