%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU425+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 : n027.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 28.13s 28.39s % Output : Proof 28.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU425+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 % 0.18/0.34 % Computer : n027.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 17:21:21 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 28.13/28.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 28.13/28.39 --- Run --no-e-matching --full-saturate-quant at 6... % 28.13/28.39 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 28.13/28.39 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 28.13/28.39 % SZS status Theorem % 28.13/28.39 % SZS output start Proof % 28.13/28.39 ( % 28.13/28.39 (declare-sort $$unsorted 0) % 28.13/28.39 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 28.13/28.39 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 28.13/28.39 (declare-const tptp.k2_relat_1 (-> $$unsorted $$unsorted)) % 28.13/28.39 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 28.13/28.39 (declare-const tptp.k5_relset_2 (-> $$unsorted $$unsorted $$unsorted)) % 28.13/28.39 (declare-const tptp.k4_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 28.13/28.39 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 28.13/28.39 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 28.13/28.39 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 28.13/28.39 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 28.13/28.39 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 28.13/28.39 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 28.13/28.39 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 28.13/28.39 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 28.13/28.39 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 28.13/28.39 (declare-const tptp.k1_relat_1 (-> $$unsorted $$unsorted)) % 28.13/28.39 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 28.13/28.39 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 28.13/28.39 (declare-const tptp.k1_xboole_0 $$unsorted) % 28.13/28.39 (define @t1 () (@var "C" $$unsorted)) % 28.13/28.39 (define @t2 () (tptp.k2_relat_1 @t1)) % 28.13/28.39 (define @t3 () (tptp.k1_zfmisc_1 @t2)) % 28.13/28.39 (define @t4 () (@var "A" $$unsorted)) % 28.13/28.39 (define @t5 () (tptp.k1_zfmisc_1 @t4)) % 28.13/28.39 (define @t6 () (tptp.k5_relset_2 @t4 @t1)) % 28.13/28.39 (define @t7 () (and (tptp.v1_funct_1 @t6) (tptp.v1_funct_2 @t6 @t5 @t3) (tptp.m2_relset_1 @t6 @t5 @t3))) % 28.13/28.39 (define @t8 () (@var "B" $$unsorted)) % 28.13/28.39 (define @t9 () (tptp.k2_zfmisc_1 @t4 @t8)) % 28.13/28.39 (define @t10 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t9))) % 28.13/28.39 (define @t11 () (@list @t4 @t8 @t1)) % 28.13/28.39 (define @t12 () (forall @t11 (=> @t10 @t7))) % 28.13/28.39 (define @t13 () (not @t12)) % 28.13/28.39 (define @t14 () (tptp.r2_hidden @t4 @t8)) % 28.13/28.39 (define @t15 () (@list @t4 @t8)) % 28.13/28.39 (define @t16 () (tptp.v1_relat_1 @t4)) % 28.13/28.39 (define @t17 () (tptp.v1_xboole_0 @t4)) % 28.13/28.39 (define @t18 () (@list @t4)) % 28.13/28.39 (define @t19 () (tptp.v1_relat_1 @t1)) % 28.13/28.39 (define @t20 () (forall @t11 (=> @t10 @t19))) % 28.13/28.39 (define @t21 () (tptp.v1_funct_2 @t1 @t4 @t8)) % 28.13/28.39 (define @t22 () (= @t21 (= @t1 tptp.k1_xboole_0))) % 28.13/28.39 (define @t23 () (= @t4 tptp.k1_xboole_0)) % 28.13/28.39 (define @t24 () (or @t23 @t22)) % 28.13/28.39 (define @t25 () (= @t8 tptp.k1_xboole_0)) % 28.13/28.39 (define @t26 () (tptp.k4_relset_1 @t4 @t8 @t1)) % 28.13/28.39 (define @t27 () (= @t21 (= @t4 @t26))) % 28.13/28.39 (define @t28 () (=> @t25 @t23)) % 28.13/28.39 (define @t29 () (and (=> @t28 @t27) (=> @t25 @t24))) % 28.13/28.39 (define @t30 () (tptp.m2_relset_1 @t1 @t4 @t8)) % 28.13/28.39 (define @t31 () (forall @t11 (=> @t30 @t29))) % 28.13/28.39 (define @t32 () (@var "D" $$unsorted)) % 28.13/28.39 (define @t33 () (tptp.k9_relat_1 @t8 @t32)) % 28.13/28.39 (define @t34 () (= (tptp.k1_funct_1 @t1 @t32) @t33)) % 28.13/28.39 (define @t35 () (tptp.r1_tarski @t32 @t4)) % 28.13/28.39 (define @t36 () (@list @t32)) % 28.13/28.39 (define @t37 () (forall @t36 (=> @t35 @t34))) % 28.13/28.39 (define @t38 () (tptp.k1_relat_1 @t1)) % 28.13/28.39 (define @t39 () (and (= @t38 @t5) @t37)) % 28.13/28.39 (define @t40 () (tptp.k5_relset_2 @t4 @t8)) % 28.13/28.39 (define @t41 () (= @t1 @t40)) % 28.13/28.39 (define @t42 () (= @t41 @t39)) % 28.13/28.39 (define @t43 () (tptp.v1_funct_1 @t1)) % 28.13/28.39 (define @t44 () (and @t19 @t43)) % 28.13/28.39 (define @t45 () (=> @t44 @t42)) % 28.13/28.39 (define @t46 () (@list @t1)) % 28.13/28.39 (define @t47 () (forall @t46 @t45)) % 28.13/28.39 (define @t48 () (tptp.v1_relat_1 @t8)) % 28.13/28.39 (define @t49 () (=> @t48 @t47)) % 28.13/28.39 (define @t50 () (forall @t15 @t49)) % 28.13/28.39 (define @t51 () (tptp.m1_relset_1 @t1 @t4 @t8)) % 28.13/28.39 (define @t52 () (and (tptp.v1_relat_1 @t40) (tptp.v1_funct_1 @t40))) % 28.13/28.39 (define @t53 () (forall @t15 (=> @t48 @t52))) % 28.13/28.39 (define @t54 () (@list @t8)) % 28.13/28.39 (define @t55 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 28.13/28.39 (define @t56 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 28.13/28.39 (define @t57 () (tptp.v1_xboole_0 @t8)) % 28.13/28.39 (define @t58 () (not @t57)) % 28.13/28.39 (define @t59 () (not @t17)) % 28.13/28.39 (define @t60 () (tptp.k1_relat_1 @t4)) % 28.13/28.39 (define @t61 () (tptp.v1_xboole_0 @t60)) % 28.13/28.39 (define @t62 () (and @t59 @t16)) % 28.13/28.39 (define @t63 () (tptp.k2_relat_1 @t4)) % 28.13/28.39 (define @t64 () (tptp.v1_xboole_0 @t63)) % 28.13/28.39 (define @t65 () (tptp.m1_subset_1 @t8 @t5)) % 28.13/28.39 (define @t66 () (= @t26 @t38)) % 28.13/28.39 (define @t67 () (forall @t11 (=> @t51 @t66))) % 28.13/28.39 (define @t68 () (tptp.r1_tarski @t4 @t4)) % 28.13/28.39 (define @t69 () (forall @t15 @t68)) % 28.13/28.39 (define @t70 () (tptp.r1_tarski @t2 @t8)) % 28.13/28.39 (define @t71 () (tptp.r1_tarski @t38 @t4)) % 28.13/28.39 (define @t72 () (and @t71 @t70)) % 28.13/28.39 (define @t73 () (=> @t72 @t30)) % 28.13/28.39 (define @t74 () (forall @t11 (=> @t19 @t73))) % 28.13/28.39 (define @t75 () (tptp.m1_subset_1 @t4 @t8)) % 28.13/28.39 (define @t76 () (tptp.r1_tarski (tptp.k2_relat_1 @t6) @t3)) % 28.13/28.39 (define @t77 () (forall @t11 (=> @t10 @t76))) % 28.13/28.39 (define @t78 () (tptp.m1_subset_1 @t8 (tptp.k1_zfmisc_1 @t1))) % 28.13/28.39 (define @t79 () (not @t70)) % 28.13/28.39 (define @t80 () (not @t71)) % 28.13/28.39 (define @t81 () (not @t19)) % 28.13/28.39 (define @t82 () (or @t80 @t79 @t30)) % 28.13/28.39 (define @t83 () (forall @t11 (or (not @t10) @t7))) % 28.13/28.39 (define @t84 () (@quantifiers_skolemize @t83 2)) % 28.13/28.39 (define @t85 () (@quantifiers_skolemize @t83 0)) % 28.13/28.39 (define @t86 () (tptp.k5_relset_2 @t85 @t84)) % 28.13/28.39 (define @t87 () (tptp.k2_relat_1 @t84)) % 28.13/28.39 (define @t88 () (tptp.k1_zfmisc_1 @t87)) % 28.13/28.39 (define @t89 () (tptp.k5_relset_2 @t85 tptp.k1_xboole_0)) % 28.13/28.39 (define @t90 () (tptp.k1_relat_1 @t89)) % 28.13/28.39 (define @t91 () (@var "BOUND_VARIABLE_7668" $$unsorted)) % 28.13/28.39 (define @t92 () (tptp.k1_funct_1 @t91 @t32)) % 28.13/28.39 (define @t93 () (not @t35)) % 28.13/28.39 (define @t94 () (or @t93 (= @t92 @t33))) % 28.13/28.39 (define @t95 () (forall @t36 @t94)) % 28.13/28.39 (define @t96 () (= @t5 (tptp.k1_relat_1 @t91))) % 28.13/28.39 (define @t97 () (and @t96 @t95)) % 28.13/28.39 (define @t98 () (= (= @t91 @t40) @t97)) % 28.13/28.39 (define @t99 () (not (tptp.v1_funct_1 @t91))) % 28.13/28.39 (define @t100 () (not (tptp.v1_relat_1 @t91))) % 28.13/28.39 (define @t101 () (not @t48)) % 28.13/28.39 (define @t102 () (or @t101 @t100 @t99 @t98)) % 28.13/28.39 (define @t103 () (or @t100 @t99 @t98)) % 28.13/28.39 (define @t104 () (or @t101 @t103)) % 28.13/28.39 (define @t105 () (@list @t4 @t8 @t91)) % 28.13/28.39 (define @t106 () (forall @t105 @t104)) % 28.13/28.39 (define @t107 () (@list @t91)) % 28.13/28.39 (define @t108 () (forall @t107 @t104)) % 28.13/28.39 (define @t109 () (forall @t107 @t103)) % 28.13/28.39 (define @t110 () (or @t101 @t109)) % 28.13/28.39 (define @t111 () (= @t41 (and (= @t5 @t38) (forall @t36 (or @t93 @t34))))) % 28.13/28.39 (define @t112 () (not @t43)) % 28.13/28.39 (define @t113 () (or @t81 @t112 @t111)) % 28.13/28.39 (define @t114 () (forall @t46 @t113)) % 28.13/28.39 (define @t115 () (not (tptp.r1_tarski @t32 @t85))) % 28.13/28.39 (define @t116 () (tptp.k1_zfmisc_1 @t85)) % 28.13/28.39 (define @t117 () (= @t116 @t90)) % 28.13/28.39 (define @t118 () (and @t117 (forall @t36 (or @t115 (= (tptp.k9_relat_1 tptp.k1_xboole_0 @t32) (tptp.k1_funct_1 @t89 @t32)))))) % 28.13/28.39 (define @t119 () (= (= @t89 @t89) @t118)) % 28.13/28.39 (define @t120 () (tptp.v1_funct_1 @t89)) % 28.13/28.39 (define @t121 () (not @t120)) % 28.13/28.39 (define @t122 () (tptp.v1_relat_1 @t89)) % 28.13/28.39 (define @t123 () (not @t122)) % 28.13/28.39 (define @t124 () (not @t55)) % 28.13/28.39 (define @t125 () (or @t124 @t123 @t121 @t119)) % 28.13/28.39 (define @t126 () (forall @t105 (or @t101 @t100 @t99 (= (= @t40 @t91) (and @t96 (forall @t36 (or @t93 (= @t33 @t92)))))))) % 28.13/28.39 (define @t127 () (or @t124 @t123 @t121 @t118)) % 28.13/28.39 (define @t128 () (@list false)) % 28.13/28.39 (define @t129 () (@list @t126)) % 28.13/28.39 (define @t130 () (and @t122 @t120)) % 28.13/28.39 (define @t131 () (or @t124 @t130)) % 28.13/28.39 (define @t132 () (@list false false)) % 28.13/28.39 (define @t133 () (not @t130)) % 28.13/28.39 (define @t134 () (@list @t130)) % 28.13/28.39 (define @t135 () (@list false false false false)) % 28.13/28.39 (define @t136 () (tptp.k1_relat_1 @t86)) % 28.13/28.39 (define @t137 () (= @t116 @t136)) % 28.13/28.39 (define @t138 () (and @t137 (forall @t36 (or @t115 (= (tptp.k9_relat_1 @t84 @t32) (tptp.k1_funct_1 @t86 @t32)))))) % 28.13/28.39 (define @t139 () (= (= @t86 @t86) @t138)) % 28.13/28.39 (define @t140 () (tptp.v1_funct_1 @t86)) % 28.13/28.39 (define @t141 () (not @t140)) % 28.13/28.39 (define @t142 () (tptp.v1_relat_1 @t86)) % 28.13/28.39 (define @t143 () (not @t142)) % 28.13/28.39 (define @t144 () (tptp.v1_relat_1 @t84)) % 28.13/28.39 (define @t145 () (not @t144)) % 28.13/28.39 (define @t146 () (or @t145 @t143 @t141 @t139)) % 28.13/28.39 (define @t147 () (or @t145 @t143 @t141 @t138)) % 28.13/28.39 (define @t148 () (@quantifiers_skolemize @t83 1)) % 28.13/28.39 (define @t149 () (@list @t85 @t148 @t84)) % 28.13/28.39 (define @t150 () (tptp.m1_subset_1 @t84 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t85 @t148)))) % 28.13/28.39 (define @t151 () (tptp.m2_relset_1 @t86 @t116 @t88)) % 28.13/28.39 (define @t152 () (tptp.v1_funct_2 @t86 @t116 @t88)) % 28.13/28.39 (define @t153 () (and @t140 @t152 @t151)) % 28.13/28.39 (define @t154 () (not @t150)) % 28.13/28.39 (define @t155 () (or @t154 @t153)) % 28.13/28.39 (define @t156 () (@list true)) % 28.13/28.39 (define @t157 () (@list @t155)) % 28.13/28.39 (define @t158 () (or @t154 @t144)) % 28.13/28.39 (define @t159 () (and @t142 @t140)) % 28.13/28.39 (define @t160 () (or @t145 @t159)) % 28.13/28.39 (define @t161 () (not @t159)) % 28.13/28.39 (define @t162 () (@list @t159)) % 28.13/28.39 (define @t163 () (tptp.r1_tarski @t136 @t90)) % 28.13/28.39 (define @t164 () (tptp.r1_tarski (tptp.k2_relat_1 @t86) @t88)) % 28.13/28.39 (define @t165 () (or @t154 @t164)) % 28.13/28.39 (define @t166 () (tptp.m2_relset_1 @t86 @t90 @t88)) % 28.13/28.39 (define @t167 () (not @t164)) % 28.13/28.39 (define @t168 () (not @t163)) % 28.13/28.39 (define @t169 () (or @t143 @t168 @t167 @t166)) % 28.13/28.39 (define @t170 () (@list @t116 @t88 @t86)) % 28.13/28.39 (define @t171 () (tptp.m1_relset_1 @t86 @t116 @t88)) % 28.13/28.39 (define @t172 () (= @t151 @t171)) % 28.13/28.39 (define @t173 () (not @t151)) % 28.13/28.39 (define @t174 () (not @t25)) % 28.13/28.39 (define @t175 () (or @t174 @t23 @t22)) % 28.13/28.39 (define @t176 () (not @t30)) % 28.13/28.39 (define @t177 () (= @t152 (= @t86 tptp.k1_xboole_0))) % 28.13/28.39 (define @t178 () (= @t88 tptp.k1_xboole_0)) % 28.13/28.39 (define @t179 () (not @t178)) % 28.13/28.39 (define @t180 () (= @t116 tptp.k1_xboole_0)) % 28.13/28.39 (define @t181 () (or @t179 @t180 @t177)) % 28.13/28.39 (define @t182 () (tptp.k4_relset_1 @t116 @t88 @t86)) % 28.13/28.39 (define @t183 () (= @t116 @t182)) % 28.13/28.39 (define @t184 () (= @t152 @t183)) % 28.13/28.39 (define @t185 () (not @t180)) % 28.13/28.39 (define @t186 () (and @t178 @t185)) % 28.13/28.39 (define @t187 () (or @t186 @t184)) % 28.13/28.39 (define @t188 () (and @t187 @t181)) % 28.13/28.39 (define @t189 () (or @t173 @t188)) % 28.13/28.39 (define @t190 () (forall @t11 (or @t176 (and (or (and @t25 (not @t23)) @t27) @t175)))) % 28.13/28.39 (define @t191 () (= tptp.k1_xboole_0 @t116)) % 28.13/28.39 (define @t192 () (= tptp.k1_xboole_0 @t88)) % 28.13/28.39 (define @t193 () (not @t192)) % 28.13/28.39 (define @t194 () (and @t192 (not @t191))) % 28.13/28.39 (define @t195 () (or @t194 @t184)) % 28.13/28.39 (define @t196 () (and @t195 (or @t193 @t191 (= @t152 (= tptp.k1_xboole_0 @t86))))) % 28.13/28.39 (define @t197 () (or @t173 @t196)) % 28.13/28.39 (define @t198 () (= @t182 @t136)) % 28.13/28.39 (define @t199 () (not @t171)) % 28.13/28.39 (define @t200 () (or @t199 @t198)) % 28.13/28.39 (define @t201 () (tptp.v1_xboole_0 @t88)) % 28.13/28.39 (define @t202 () (not @t56)) % 28.13/28.39 (define @t203 () (not @t201)) % 28.13/28.39 (define @t204 () (not @t194)) % 28.13/28.39 (define @t205 () (and @t198 @t137)) % 28.13/28.39 (assume @p1 @t13) % 28.13/28.39 (assume @p2 (forall @t15 (=> @t14 (not (tptp.r2_hidden @t8 @t4))))) % 28.13/28.39 (assume @p3 (forall @t18 (=> @t17 @t16))) % 28.13/28.39 (assume @p4 @t20) % 28.13/28.39 (assume @p5 @t31) % 28.13/28.39 (assume @p6 @t50) % 28.13/28.39 (assume @p7 true) % 28.13/28.39 (assume @p8 (forall @t11 (=> @t51 (tptp.m1_subset_1 @t26 @t5)))) % 28.13/28.39 (assume @p9 @t53) % 28.13/28.39 (assume @p10 (forall @t11 (=> @t30 @t10))) % 28.13/28.39 (assume @p11 (forall @t15 (exists @t46 @t51))) % 28.13/28.39 (assume @p12 (forall @t18 (exists @t54 (tptp.m1_subset_1 @t8 @t4)))) % 28.13/28.39 (assume @p13 (forall @t15 (exists @t46 @t30))) % 28.13/28.39 (assume @p14 (and @t56 @t55 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 28.13/28.39 (assume @p15 (forall @t18 (not (tptp.v1_xboole_0 @t5)))) % 28.13/28.39 (assume @p16 (forall @t15 (tptp.v1_relat_1 @t9))) % 28.13/28.39 (assume @p17 (and @t56 @t55)) % 28.13/28.39 (assume @p18 (forall @t15 (=> (and @t59 @t58) (not (tptp.v1_xboole_0 @t9))))) % 28.13/28.39 (assume @p19 (forall @t18 (=> @t62 (not @t61)))) % 28.13/28.39 (assume @p20 (forall @t18 (=> @t62 (not @t64)))) % 28.13/28.39 (assume @p21 (forall @t18 (=> @t17 (and @t61 (tptp.v1_relat_1 @t60))))) % 28.13/28.39 (assume @p22 (forall @t18 (=> @t17 (and @t64 (tptp.v1_relat_1 @t63))))) % 28.13/28.39 (assume @p23 (exists @t18 (and @t17 @t16))) % 28.13/28.39 (assume @p24 (forall @t18 (=> @t59 (exists @t54 (and @t65 @t58))))) % 28.13/28.39 (assume @p25 (forall @t15 (exists @t46 (and @t51 @t19 @t43)))) % 28.13/28.39 (assume @p26 (exists @t18 @t62)) % 28.13/28.39 (assume @p27 (forall @t18 (exists @t54 (and @t65 @t57)))) % 28.13/28.39 (assume @p28 (exists @t18 (and @t16 (tptp.v3_relat_1 @t4)))) % 28.13/28.39 (assume @p29 @t67) % 28.13/28.39 (assume @p30 (forall @t11 (= @t30 @t51))) % 28.13/28.39 (assume @p31 @t69) % 28.13/28.39 (assume @p32 @t74) % 28.13/28.39 (assume @p33 (forall @t15 (=> @t14 @t75))) % 28.13/28.39 (assume @p34 @t77) % 28.13/28.39 (assume @p35 (forall @t15 (=> @t75 (or @t57 @t14)))) % 28.13/28.39 (assume @p36 (forall @t15 (= (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t8)) (tptp.r1_tarski @t4 @t8)))) % 28.13/28.39 (assume @p37 (forall @t11 (=> (and @t14 @t78) (tptp.m1_subset_1 @t4 @t1)))) % 28.13/28.39 (assume @p38 (forall @t11 (not (and @t14 @t78 (tptp.v1_xboole_0 @t1))))) % 28.13/28.39 (assume @p39 (forall @t18 (=> @t17 @t23))) % 28.13/28.39 (assume @p40 (forall @t15 (not (and @t14 @t57)))) % 28.13/28.39 (assume @p41 (forall @t15 (not (and @t17 (not (= @t4 @t8)) @t57)))) % 28.13/28.39 (step @p42 :rule aci_norm :args ((= (or @t81 @t82) (or @t81 @t80 @t79 @t30)))) % 28.13/28.39 (step @p43 :rule aci_norm :args ((= (or (or @t80 @t79) @t30) @t82))) % 28.13/28.39 (step @p44 :rule refl :args (@t30)) % 28.13/28.39 (step @p45 :rule bool-and-de-morgan :args (@t71 @t70 true)) % 28.13/28.39 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or (not @t72) @t30))) % 28.13/28.39 (step @p47 :rule trans :premises (@p46 @p43)) % 28.13/28.39 (step @p48 :rule bool-impl-elim :args (@t72 @t30)) % 28.13/28.39 (step @p49 :rule trans :premises (@p48 @p47)) % 28.13/28.39 (step @p50 :rule refl :args (@t81)) % 28.13/28.39 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t81 @t73))) % 28.13/28.39 (step @p52 :rule trans :premises (@p51 @p42)) % 28.13/28.39 (step @p53 :rule bool-impl-elim :args (@t19 @t73)) % 28.13/28.39 (step @p54 :rule trans :premises (@p53 @p52)) % 28.13/28.39 (step @p55 :rule cong :premises (@p54) :args (@t74)) % 28.13/28.39 (step @p56 :rule eq_resolve :premises (@p32 @p55)) % 28.13/28.39 (step @p57 :rule instantiate :premises (@p56) :args ((@list @t90 @t88 @t86))) % 28.13/28.39 (step @p58 :rule quant-unused-vars :args ((= @t69 (forall @t18 @t68)))) % 28.13/28.39 (step @p59 :rule eq_resolve :premises (@p31 @p58)) % 28.13/28.39 (step @p60 :rule instantiate :premises (@p59) :args ((@list @t90))) % 28.13/28.39 (step @p61 :rule true_intro :premises (@p60)) % 28.13/28.39 (step @p62 :rule refl :args (@t90)) % 28.13/28.39 (step @p63 :rule eq-symm :args (@t92 @t33)) % 28.13/28.39 (step @p64 :rule refl :args (@t93)) % 28.13/28.39 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t94)) % 28.13/28.39 (step @p66 :rule cong :premises (@p65) :args (@t95)) % 28.13/28.39 (step @p67 :rule refl :args (@t96)) % 28.13/28.39 (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t97)) % 28.13/28.39 (step @p69 :rule eq-symm :args (@t91 @t40)) % 28.13/28.39 (step @p70 :rule cong :premises (@p69 @p68) :args (@t98)) % 28.13/28.39 (step @p71 :rule refl :args (@t99)) % 28.13/28.39 (step @p72 :rule refl :args (@t100)) % 28.13/28.39 (step @p73 :rule refl :args (@t101)) % 28.13/28.39 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71 @p70) :args (@t102)) % 28.13/28.39 (step @p75 :rule aci_norm :args ((= @t104 @t102))) % 28.13/28.39 (step @p76 :rule trans :premises (@p75 @p74)) % 28.13/28.39 (step @p77 :rule cong :premises (@p76) :args (@t106)) % 28.13/28.39 (step @p78 :rule quant-merge-prenex :args ((= (forall @t15 @t108) @t106))) % 28.13/28.39 (step @p79 :rule alpha_equiv :args (@t109 (@list @t91) (@list @t1))) % 28.13/28.39 (step @p80 :rule refl :args (@t101)) % 28.13/28.39 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t110)) % 28.13/28.39 (step @p82 :rule quant-miniscope-or :args ((= @t108 @t110))) % 28.13/28.39 (step @p83 :rule trans :premises (@p82 @p81)) % 28.13/28.39 (step @p84 :rule symm :premises (@p83)) % 28.13/28.39 (step @p85 :rule cong :premises (@p84) :args ((forall @t15 (or @t101 @t114)))) % 28.13/28.39 (step @p86 :rule trans :premises (@p85 @p78)) % 28.13/28.39 (step @p87 :rule trans :premises (@p86 @p77)) % 28.13/28.39 (step @p88 :rule bool-impl-elim :args (@t48 @t114)) % 28.13/28.39 (step @p89 :rule cong :premises (@p88) :args ((forall @t15 (=> @t48 @t114)))) % 28.13/28.39 (step @p90 :rule trans :premises (@p89 @p87)) % 28.13/28.39 (step @p91 :rule aci_norm :args ((= (or (or @t81 @t112) @t111) @t113))) % 28.13/28.39 (step @p92 :rule refl :args (@t111)) % 28.13/28.39 (step @p93 :rule bool-and-de-morgan :args (@t19 @t43 true)) % 28.13/28.39 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or (not @t44) @t111))) % 28.13/28.39 (step @p95 :rule trans :premises (@p94 @p91)) % 28.13/28.39 (step @p96 :rule bool-impl-elim :args (@t44 @t111)) % 28.13/28.39 (step @p97 :rule trans :premises (@p96 @p95)) % 28.13/28.39 (step @p98 :rule cong :premises (@p97) :args ((forall @t46 (=> @t44 @t111)))) % 28.13/28.39 (step @p99 :rule bool-impl-elim :args (@t35 @t34)) % 28.13/28.39 (step @p100 :rule cong :premises (@p99) :args (@t37)) % 28.13/28.39 (step @p101 :rule eq-symm :args (@t38 @t5)) % 28.13/28.39 (step @p102 :rule nary_cong :premises (@p101 @p100) :args (@t39)) % 28.13/28.39 (step @p103 :rule refl :args (@t41)) % 28.13/28.39 (step @p104 :rule cong :premises (@p103 @p102) :args (@t42)) % 28.13/28.39 (step @p105 :rule refl :args (@t44)) % 28.13/28.39 (step @p106 :rule cong :premises (@p105 @p104) :args (@t45)) % 28.13/28.39 (step @p107 :rule cong :premises (@p106) :args (@t47)) % 28.13/28.39 (step @p108 :rule trans :premises (@p107 @p98)) % 28.13/28.39 (step @p109 :rule refl :args (@t48)) % 28.13/28.39 (step @p110 :rule cong :premises (@p109 @p108) :args (@t49)) % 28.13/28.39 (step @p111 :rule cong :premises (@p110) :args (@t50)) % 28.13/28.39 (step @p112 :rule trans :premises (@p111 @p90)) % 28.13/28.39 (step @p113 :rule eq_resolve :premises (@p6 @p112)) % 28.13/28.39 (step @p114 :rule bool-eq-true :args (@t118)) % 28.13/28.39 (step @p115 :rule eq-symm :args (true @t118)) % 28.13/28.39 (step @p116 :rule trans :premises (@p115 @p114)) % 28.13/28.39 (step @p117 :rule refl :args (@t118)) % 28.13/28.39 (step @p118 :rule eq-refl :args (@t89)) % 28.13/28.39 (step @p119 :rule cong :premises (@p118 @p117) :args (@t119)) % 28.13/28.39 (step @p120 :rule trans :premises (@p119 @p116)) % 28.13/28.39 (step @p121 :rule refl :args (@t121)) % 28.13/28.39 (step @p122 :rule refl :args (@t123)) % 28.13/28.39 (step @p123 :rule refl :args (@t124)) % 28.13/28.39 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121 @p120) :args (@t125)) % 28.13/28.39 (step @p125 :rule refl :args (@t126)) % 28.13/28.39 (step @p126 :rule cong :premises (@p125 @p124) :args ((=> @t126 @t125))) % 28.13/28.39 (assume-push @p335 @t126) % 28.13/28.39 (step @p128 :rule instantiate :premises (@p113) :args ((@list @t85 tptp.k1_xboole_0 @t89))) % 28.13/28.39 (step-pop @p336 :rule scope :premises (@p128)) % 28.13/28.39 (step @p129 :rule process_scope :premises (@p336) :args (@t125)) % 28.13/28.39 (step @p131 :rule eq_resolve :premises (@p129 @p126)) % 28.13/28.39 (step @p132 :rule implies_elim :premises (@p131)) % 28.13/28.39 (step @p133 :rule chain_m_resolution :premises (@p132 @p113) :args (@t127 @t128 @t129)) % 28.13/28.39 (step @p134 :rule bool-impl-elim :args (@t48 @t52)) % 28.13/28.39 (step @p135 :rule cong :premises (@p134) :args (@t53)) % 28.13/28.39 (step @p136 :rule eq_resolve :premises (@p9 @p135)) % 28.13/28.39 (step @p137 :rule instantiate :premises (@p136) :args ((@list @t85 tptp.k1_xboole_0))) % 28.13/28.39 (step @p138 :rule and_elim :premises (@p14) :args (1)) % 28.13/28.39 (step @p139 :rule cnf_or_pos :args (@t131)) % 28.13/28.39 (step @p140 :rule reordering :premises (@p139) :args ((or @t124 @t130 (not @t131)))) % 28.13/28.39 (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p137) :args (@t130 @t132 (@list @t55 @t131))) % 28.13/28.39 (step @p142 :rule cnf_and_pos :args (@t130 1)) % 28.13/28.39 (step @p143 :rule reordering :premises (@p142) :args ((or @t120 @t133))) % 28.13/28.39 (step @p144 :rule chain_m_resolution :premises (@p143 @p141) :args (@t120 @t128 @t134)) % 28.13/28.39 (step @p145 :rule cnf_and_pos :args (@t130 0)) % 28.13/28.39 (step @p146 :rule reordering :premises (@p145) :args ((or @t122 @t133))) % 28.13/28.39 (step @p147 :rule chain_m_resolution :premises (@p146 @p141) :args (@t122 @t128 @t134)) % 28.13/28.39 (step @p148 :rule cnf_or_pos :args (@t127)) % 28.13/28.39 (step @p149 :rule reordering :premises (@p148) :args ((or @t124 @t123 @t121 @t118 (not @t127)))) % 28.13/28.39 (step @p150 :rule chain_m_resolution :premises (@p149 @p138 @p147 @p144 @p133) :args (@t118 @t135 (@list @t55 @t122 @t120 @t127))) % 28.13/28.39 (step @p151 :rule cnf_and_pos :args (@t118 0)) % 28.13/28.39 (step @p152 :rule reordering :premises (@p151) :args ((or @t117 (not @t118)))) % 28.13/28.39 (step @p153 :rule chain_m_resolution :premises (@p152 @p150) :args (@t117 @t128 (@list @t118))) % 28.13/28.39 (step @p154 :rule bool-eq-true :args (@t138)) % 28.13/28.39 (step @p155 :rule eq-symm :args (true @t138)) % 28.13/28.39 (step @p156 :rule trans :premises (@p155 @p154)) % 28.13/28.39 (step @p157 :rule refl :args (@t138)) % 28.13/28.39 (step @p158 :rule eq-refl :args (@t86)) % 28.13/28.39 (step @p159 :rule cong :premises (@p158 @p157) :args (@t139)) % 28.13/28.39 (step @p160 :rule trans :premises (@p159 @p156)) % 28.13/28.39 (step @p161 :rule refl :args (@t141)) % 28.13/28.39 (step @p162 :rule refl :args (@t143)) % 28.13/28.39 (step @p163 :rule refl :args (@t145)) % 28.13/28.39 (step @p164 :rule nary_cong :premises (@p163 @p162 @p161 @p160) :args (@t146)) % 28.13/28.39 (step @p165 :rule cong :premises (@p125 @p164) :args ((=> @t126 @t146))) % 28.13/28.39 (assume-push @p337 @t126) % 28.13/28.39 (step @p167 :rule instantiate :premises (@p113) :args ((@list @t85 @t84 @t86))) % 28.13/28.39 (step-pop @p338 :rule scope :premises (@p167)) % 28.13/28.39 (step @p168 :rule process_scope :premises (@p338) :args (@t146)) % 28.13/28.39 (step @p170 :rule eq_resolve :premises (@p168 @p165)) % 28.13/28.39 (step @p171 :rule implies_elim :premises (@p170)) % 28.13/28.39 (step @p172 :rule chain_m_resolution :premises (@p171 @p113) :args (@t147 @t128 @t129)) % 28.13/28.39 (step @p173 :rule instantiate :premises (@p136) :args ((@list @t85 @t84))) % 28.13/28.39 (step @p174 :rule bool-impl-elim :args (@t10 @t19)) % 28.13/28.39 (step @p175 :rule cong :premises (@p174) :args (@t20)) % 28.13/28.39 (step @p176 :rule eq_resolve :premises (@p4 @p175)) % 28.13/28.39 (step @p177 :rule instantiate :premises (@p176) :args (@t149)) % 28.13/28.39 (step @p178 :rule bool-impl-elim :args (@t10 @t7)) % 28.13/28.39 (step @p179 :rule cong :premises (@p178) :args (@t12)) % 28.13/28.39 (step @p180 :rule cong :premises (@p179) :args (@t13)) % 28.13/28.39 (step @p181 :rule eq_resolve :premises (@p1 @p180)) % 28.13/28.39 (step @p182 :rule skolemize :premises (@p181)) % 28.13/28.39 (step @p183 :rule bool-double-not-elim :args (@t150)) % 28.13/28.39 (step @p184 :rule refl :args (@t155)) % 28.13/28.39 (step @p185 :rule nary_cong :premises (@p184 @p183) :args ((or @t155 (not @t154)))) % 28.13/28.39 (step @p186 :rule cnf_or_neg :args (@t155 0)) % 28.13/28.39 (step @p187 :rule eq_resolve :premises (@p186 @p185)) % 28.13/28.39 (step @p188 :rule reordering :premises (@p187) :args ((or @t150 @t155))) % 28.13/28.39 (step @p189 :rule chain_m_resolution :premises (@p188 @p182) :args (@t150 @t156 @t157)) % 28.13/28.39 (step @p190 :rule cnf_or_pos :args (@t158)) % 28.13/28.39 (step @p191 :rule reordering :premises (@p190) :args ((or @t154 @t144 (not @t158)))) % 28.13/28.39 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p177) :args (@t144 @t132 (@list @t150 @t158))) % 28.13/28.39 (step @p193 :rule cnf_or_pos :args (@t160)) % 28.13/28.39 (step @p194 :rule reordering :premises (@p193) :args ((or @t145 @t159 (not @t160)))) % 28.13/28.39 (step @p195 :rule chain_m_resolution :premises (@p194 @p192 @p173) :args (@t159 @t132 (@list @t144 @t160))) % 28.13/28.39 (step @p196 :rule cnf_and_pos :args (@t159 0)) % 28.13/28.39 (step @p197 :rule reordering :premises (@p196) :args ((or @t142 @t161))) % 28.13/28.39 (step @p198 :rule chain_m_resolution :premises (@p197 @p195) :args (@t142 @t128 @t162)) % 28.13/28.39 (step @p199 :rule cnf_and_pos :args (@t159 1)) % 28.13/28.39 (step @p200 :rule reordering :premises (@p199) :args ((or @t140 @t161))) % 28.13/28.39 (step @p201 :rule chain_m_resolution :premises (@p200 @p195) :args (@t140 @t128 @t162)) % 28.13/28.39 (step @p202 :rule cnf_or_pos :args (@t147)) % 28.13/28.39 (step @p203 :rule reordering :premises (@p202) :args ((or @t141 @t145 @t143 @t138 (not @t147)))) % 28.13/28.39 (step @p204 :rule chain_m_resolution :premises (@p203 @p201 @p192 @p198 @p172) :args (@t138 @t135 (@list @t140 @t144 @t142 @t147))) % 28.13/28.39 (step @p205 :rule cnf_and_pos :args (@t138 0)) % 28.13/28.39 (step @p206 :rule reordering :premises (@p205) :args ((or @t137 (not @t138)))) % 28.13/28.39 (step @p207 :rule chain_m_resolution :premises (@p206 @p204) :args (@t137 @t128 (@list @t138))) % 28.13/28.39 (step @p208 :rule symm :premises (@p207)) % 28.13/28.39 (step @p209 :rule trans :premises (@p208 @p153)) % 28.13/28.39 (step @p210 :rule cong :premises (@p209 @p62) :args (@t163)) % 28.13/28.39 (step @p211 :rule trans :premises (@p210 @p61)) % 28.13/28.39 (step @p212 :rule true_elim :premises (@p211)) % 28.13/28.39 (step @p213 :rule bool-impl-elim :args (@t10 @t76)) % 28.13/28.39 (step @p214 :rule cong :premises (@p213) :args (@t77)) % 28.13/28.39 (step @p215 :rule eq_resolve :premises (@p34 @p214)) % 28.13/28.39 (step @p216 :rule instantiate :premises (@p215) :args (@t149)) % 28.13/28.39 (step @p217 :rule cnf_or_pos :args (@t165)) % 28.13/28.39 (step @p218 :rule reordering :premises (@p217) :args ((or @t154 @t164 (not @t165)))) % 28.13/28.39 (step @p219 :rule chain_m_resolution :premises (@p218 @p189 @p216) :args (@t164 @t132 (@list @t150 @t165))) % 28.13/28.39 (step @p220 :rule cnf_or_pos :args (@t169)) % 28.13/28.39 (step @p221 :rule reordering :premises (@p220) :args ((or @t143 @t167 @t168 @t166 (not @t169)))) % 28.13/28.39 (step @p222 :rule chain_m_resolution :premises (@p221 @p198 @p219 @p212 @p57) :args (@t166 @t135 (@list @t142 @t164 @t163 @t169))) % 28.13/28.39 (step @p223 :rule true_intro :premises (@p222)) % 28.13/28.39 (step @p224 :rule refl :args (@t88)) % 28.13/28.39 (step @p225 :rule refl :args (@t86)) % 28.13/28.39 (step @p226 :rule cong :premises (@p225 @p153 @p224) :args (@t151)) % 28.13/28.39 (step @p227 :rule trans :premises (@p226 @p223)) % 28.13/28.39 (step @p228 :rule true_elim :premises (@p227)) % 28.13/28.39 (step @p229 :rule cnf_or_neg :args (@t155 1)) % 28.13/28.39 (step @p230 :rule chain_m_resolution :premises (@p229 @p182) :args ((not @t153) @t156 @t157)) % 28.13/28.39 (step @p231 :rule cnf_and_neg :args (@t153)) % 28.13/28.39 (step @p232 :rule chain_m_resolution :premises (@p231 @p230 @p201 @p228) :args ((not @t152) (@list true false false) (@list @t153 @t140 @t151))) % 28.13/28.39 (step @p233 :rule instantiate :premises (@p30) :args (@t170)) % 28.13/28.39 (step @p234 :rule cnf_equiv_pos1 :args (@t172)) % 28.13/28.39 (step @p235 :rule reordering :premises (@p234) :args ((or @t173 @t171 (not @t172)))) % 28.13/28.39 (step @p236 :rule aci_norm :args ((= (or @t174 @t24) @t175))) % 28.13/28.39 (step @p237 :rule bool-impl-elim :args (@t25 @t24)) % 28.13/28.39 (step @p238 :rule trans :premises (@p237 @p236)) % 28.13/28.39 (step @p239 :rule refl :args (@t27)) % 28.13/28.39 (step @p240 :rule bool-implies-de-morgan :args (@t25 @t23)) % 28.13/28.39 (step @p241 :rule nary_cong :premises (@p240 @p239) :args ((or (not @t28) @t27))) % 28.13/28.39 (step @p242 :rule bool-impl-elim :args (@t28 @t27)) % 28.13/28.39 (step @p243 :rule trans :premises (@p242 @p241)) % 28.13/28.39 (step @p244 :rule nary_cong :premises (@p243 @p238) :args (@t29)) % 28.13/28.39 (step @p245 :rule refl :args (@t176)) % 28.13/28.39 (step @p246 :rule nary_cong :premises (@p245 @p244) :args ((or @t176 @t29))) % 28.13/28.39 (step @p247 :rule bool-impl-elim :args (@t30 @t29)) % 28.13/28.39 (step @p248 :rule trans :premises (@p247 @p246)) % 28.13/28.39 (step @p249 :rule cong :premises (@p248) :args (@t31)) % 28.13/28.39 (step @p250 :rule eq_resolve :premises (@p5 @p249)) % 28.13/28.39 (step @p251 :rule eq-symm :args (@t86 tptp.k1_xboole_0)) % 28.13/28.39 (step @p252 :rule refl :args (@t152)) % 28.13/28.39 (step @p253 :rule cong :premises (@p252 @p251) :args (@t177)) % 28.13/28.39 (step @p254 :rule eq-symm :args (@t116 tptp.k1_xboole_0)) % 28.13/28.39 (step @p255 :rule eq-symm :args (@t88 tptp.k1_xboole_0)) % 28.13/28.39 (step @p256 :rule cong :premises (@p255) :args (@t179)) % 28.13/28.39 (step @p257 :rule nary_cong :premises (@p256 @p254 @p253) :args (@t181)) % 28.13/28.39 (step @p258 :rule refl :args (@t184)) % 28.13/28.39 (step @p259 :rule cong :premises (@p254) :args (@t185)) % 28.13/28.39 (step @p260 :rule nary_cong :premises (@p255 @p259) :args (@t186)) % 28.13/28.39 (step @p261 :rule nary_cong :premises (@p260 @p258) :args (@t187)) % 28.13/28.39 (step @p262 :rule nary_cong :premises (@p261 @p257) :args (@t188)) % 28.13/28.39 (step @p263 :rule refl :args (@t173)) % 28.13/28.39 (step @p264 :rule nary_cong :premises (@p263 @p262) :args (@t189)) % 28.13/28.39 (step @p265 :rule refl :args (@t190)) % 28.13/28.39 (step @p266 :rule cong :premises (@p265 @p264) :args ((=> @t190 @t189))) % 28.13/28.39 (assume-push @p339 @t190) % 28.13/28.39 (step @p268 :rule instantiate :premises (@p250) :args (@t170)) % 28.13/28.39 (step-pop @p340 :rule scope :premises (@p268)) % 28.13/28.39 (step @p269 :rule process_scope :premises (@p340) :args (@t189)) % 28.13/28.39 (step @p271 :rule eq_resolve :premises (@p269 @p266)) % 28.13/28.39 (step @p272 :rule implies_elim :premises (@p271)) % 28.13/28.39 (step @p273 :rule chain_m_resolution :premises (@p272 @p250) :args (@t197 @t128 (@list @t190))) % 28.13/28.39 (step @p274 :rule cnf_or_pos :args (@t197)) % 28.13/28.39 (step @p275 :rule reordering :premises (@p274) :args ((or @t173 @t196 (not @t197)))) % 28.13/28.39 (step @p276 :rule bool-impl-elim :args (@t51 @t66)) % 28.13/28.39 (step @p277 :rule cong :premises (@p276) :args (@t67)) % 28.13/28.39 (step @p278 :rule eq_resolve :premises (@p29 @p277)) % 28.13/28.39 (step @p279 :rule instantiate :premises (@p278) :args (@t170)) % 28.13/28.39 (step @p280 :rule cnf_or_pos :args (@t200)) % 28.13/28.39 (step @p281 :rule reordering :premises (@p280) :args ((or @t199 @t198 (not @t200)))) % 28.13/28.39 (step @p282 :rule cnf_and_pos :args (@t196 0)) % 28.13/28.39 (step @p283 :rule reordering :premises (@p282) :args ((or @t195 (not @t196)))) % 28.13/28.39 (step @p284 :rule instantiate :premises (@p15) :args ((@list @t87))) % 28.13/28.39 (step @p285 :rule and_elim :premises (@p14) :args (0)) % 28.13/28.39 (step @p286 :rule bool-double-not-elim :args (@t201)) % 28.13/28.39 (step @p287 :rule refl :args (@t193)) % 28.13/28.39 (step @p288 :rule refl :args (@t202)) % 28.13/28.39 (step @p289 :rule nary_cong :premises (@p288 @p287 @p286) :args ((or @t202 @t193 (not @t203)))) % 28.13/28.39 (assume-push @p341 @t56) % 28.13/28.39 (assume-push @p342 @t192) % 28.13/28.39 (assume-push @p343 @t203) % 28.13/28.39 (step @p293 :rule evaluate :args ((= false true))) % 28.13/28.39 (step @p294 :rule true_intro :premises (@p285)) % 28.13/28.39 (step @p295 :rule symm :premises (@p342)) % 28.13/28.39 (step @p296 :rule cong :premises (@p295) :args (@t201)) % 28.13/28.39 (step @p297 :rule false_intro :premises (@p284)) % 28.13/28.39 (step @p298 :rule symm :premises (@p297)) % 28.13/28.39 (step @p299 :rule trans :premises (@p298 @p296 @p294)) % 28.13/28.39 (step @p300 false :rule eq_resolve :premises (@p299 @p293)) % 28.13/28.39 (step-pop @p344 :rule scope :premises (@p300)) % 28.13/28.39 (step-pop @p345 :rule scope :premises (@p344)) % 28.13/28.39 (step-pop @p346 :rule scope :premises (@p345)) % 28.13/28.39 (step @p301 :rule process_scope :premises (@p346) :args (false)) % 28.13/28.39 (step @p305 :rule not_and :premises (@p301)) % 28.13/28.39 (step @p306 :rule eq_resolve :premises (@p305 @p289)) % 28.13/28.39 (step @p307 :rule chain_m_resolution :premises (@p306 @p285 @p284) :args (@t193 (@list false true) (@list @t56 @t201))) % 28.13/28.39 (step @p308 :rule cnf_and_pos :args (@t194 0)) % 28.13/28.39 (step @p309 :rule reordering :premises (@p308) :args ((or @t192 @t204))) % 28.13/28.39 (step @p310 :rule chain_m_resolution :premises (@p309 @p307) :args (@t204 @t156 (@list @t192))) % 28.13/28.39 (step @p311 :rule cnf_or_pos :args (@t195)) % 28.13/28.39 (step @p312 :rule reordering :premises (@p311) :args ((or @t184 @t194 (not @t195)))) % 28.13/28.39 (step @p313 :rule cnf_equiv_pos2 :args (@t184)) % 28.13/28.39 (step @p314 :rule reordering :premises (@p313) :args ((or @t152 (not @t183) (not @t184)))) % 28.13/28.39 (assume-push @p347 @t198) % 28.13/28.39 (assume-push @p348 @t137) % 28.13/28.39 (assume-push @p349 @t198) % 28.13/28.39 (assume-push @p350 @t137) % 28.13/28.39 (step @p319 :rule symm :premises (@p347)) % 28.13/28.39 (step @p320 :rule trans :premises (@p207 @p319)) % 28.13/28.39 (step-pop @p351 :rule scope :premises (@p320)) % 28.13/28.39 (step-pop @p352 :rule scope :premises (@p351)) % 28.13/28.39 (step @p321 :rule process_scope :premises (@p352) :args (@t183)) % 28.13/28.39 (step @p324 :rule and_intro :premises (@p347 @p207)) % 28.13/28.39 (step @p325 :rule modus_ponens :premises (@p324 @p321)) % 28.13/28.39 (step-pop @p353 :rule scope :premises (@p325)) % 28.13/28.40 (step-pop @p354 :rule scope :premises (@p353)) % 28.13/28.40 (step @p326 :rule process_scope :premises (@p354) :args (@t183)) % 28.13/28.40 (step @p329 :rule implies_elim :premises (@p326)) % 28.13/28.40 (step @p330 :rule cnf_and_neg :args (@t205)) % 28.13/28.40 (step @p331 :rule resolution :premises (@p330 @p329) :args (true @t205)) % 28.13/28.40 (step @p332 :rule reordering :premises (@p331) :args ((or (not @t198) @t183 (not @t137)))) % 28.13/28.40 (step @p333 :rule chain_m_resolution :premises (@p332 @p207 @p314 @p312 @p310 @p283 @p281 @p279 @p275 @p273 @p235 @p233) :args ((or @t152 @t173) (@list false true false true false false false false false false false) (@list @t137 @t183 @t184 @t194 @t195 @t198 @t200 @t196 @t197 @t171 @t172))) % 28.13/28.40 (step @p334 false :rule chain_m_resolution :premises (@p333 @p232 @p228) :args (false (@list true false) (@list @t152 @t151))) % 28.13/28.40 ) % 28.13/28.40 % SZS output end Proof % 28.13/28.40 % cvc5 exiting %------------------------------------------------------------------------------