%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU313+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:51:21 AM UTC 2026 % Result : Theorem 35.05s 35.21s % Output : Proof 35.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU313+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.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 16:55:54 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 35.05/35.21 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.05/35.21 --- Run --no-e-matching --full-saturate-quant at 6... % 35.05/35.21 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.05/35.21 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.05/35.21 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.05/35.21 % SZS status Theorem % 35.05/35.21 % SZS output start Proof % 35.05/35.21 ( % 35.05/35.21 (declare-sort $$unsorted 0) % 35.05/35.21 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 35.05/35.21 (declare-const tptp.empty_set $$unsorted) % 35.05/35.21 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.05/35.21 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 35.05/35.21 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 35.05/35.21 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 35.05/35.21 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 35.05/35.21 (declare-const tptp.top_str (-> $$unsorted Bool)) % 35.05/35.21 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 35.05/35.21 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 35.05/35.21 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 35.05/35.21 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 35.05/35.21 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 35.05/35.21 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 35.05/35.21 (declare-const tptp.natural (-> $$unsorted Bool)) % 35.05/35.21 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 35.05/35.21 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 35.05/35.21 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 35.05/35.21 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 35.05/35.21 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 35.05/35.21 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 35.05/35.21 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 35.05/35.21 (declare-const tptp.empty (-> $$unsorted Bool)) % 35.05/35.21 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 35.05/35.21 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 35.05/35.21 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 35.05/35.21 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 35.05/35.21 (define @t1 () (@var "A" $$unsorted)) % 35.05/35.21 (define @t2 () (@var "B" $$unsorted)) % 35.05/35.21 (define @t3 () (tptp.in @t1 @t2)) % 35.05/35.21 (define @t4 () (@list @t1 @t2)) % 35.05/35.21 (define @t5 () (tptp.v1_xcmplx_0 @t2)) % 35.05/35.21 (define @t6 () (tptp.element @t2 @t1)) % 35.05/35.21 (define @t7 () (@list @t2)) % 35.05/35.21 (define @t8 () (tptp.v1_membered @t1)) % 35.05/35.21 (define @t9 () (@list @t1)) % 35.05/35.21 (define @t10 () (tptp.v1_xreal_0 @t2)) % 35.05/35.21 (define @t11 () (tptp.v2_membered @t1)) % 35.05/35.21 (define @t12 () (tptp.v1_rat_1 @t2)) % 35.05/35.21 (define @t13 () (tptp.v3_membered @t1)) % 35.05/35.21 (define @t14 () (tptp.v1_int_1 @t2)) % 35.05/35.21 (define @t15 () (tptp.v4_membered @t1)) % 35.05/35.21 (define @t16 () (tptp.v5_membered @t1)) % 35.05/35.21 (define @t17 () (tptp.empty @t1)) % 35.05/35.21 (define @t18 () (tptp.v1_membered @t2)) % 35.05/35.21 (define @t19 () (tptp.powerset @t1)) % 35.05/35.21 (define @t20 () (tptp.element @t2 @t19)) % 35.05/35.21 (define @t21 () (tptp.v2_membered @t2)) % 35.05/35.21 (define @t22 () (tptp.v3_membered @t2)) % 35.05/35.21 (define @t23 () (tptp.v4_membered @t2)) % 35.05/35.21 (define @t24 () (@var "E" $$unsorted)) % 35.05/35.21 (define @t25 () (tptp.disjoint @t2 @t24)) % 35.05/35.21 (define @t26 () (@var "D" $$unsorted)) % 35.05/35.21 (define @t27 () (tptp.in @t26 @t24)) % 35.05/35.21 (define @t28 () (tptp.open_subset @t24 @t1)) % 35.05/35.21 (define @t29 () (not (and @t28 @t27 @t25))) % 35.05/35.21 (define @t30 () (tptp.the_carrier @t1)) % 35.05/35.21 (define @t31 () (tptp.powerset @t30)) % 35.05/35.21 (define @t32 () (tptp.element @t24 @t31)) % 35.05/35.21 (define @t33 () (@list @t24)) % 35.05/35.21 (define @t34 () (forall @t33 (=> @t32 @t29))) % 35.05/35.21 (define @t35 () (@var "C" $$unsorted)) % 35.05/35.21 (define @t36 () (tptp.in @t26 @t35)) % 35.05/35.21 (define @t37 () (= @t36 @t34)) % 35.05/35.21 (define @t38 () (tptp.in @t26 @t30)) % 35.05/35.21 (define @t39 () (=> @t38 @t37)) % 35.05/35.21 (define @t40 () (@list @t26)) % 35.05/35.21 (define @t41 () (forall @t40 @t39)) % 35.05/35.21 (define @t42 () (tptp.topstr_closure @t1 @t2)) % 35.05/35.21 (define @t43 () (= @t35 @t42)) % 35.05/35.21 (define @t44 () (= @t43 @t41)) % 35.05/35.21 (define @t45 () (tptp.element @t35 @t31)) % 35.05/35.21 (define @t46 () (=> @t45 @t44)) % 35.05/35.21 (define @t47 () (@list @t35)) % 35.05/35.21 (define @t48 () (forall @t47 @t46)) % 35.05/35.21 (define @t49 () (tptp.element @t2 @t31)) % 35.05/35.21 (define @t50 () (=> @t49 @t48)) % 35.05/35.21 (define @t51 () (forall @t7 @t50)) % 35.05/35.21 (define @t52 () (tptp.top_str @t1)) % 35.05/35.21 (define @t53 () (=> @t52 @t51)) % 35.05/35.21 (define @t54 () (forall @t9 @t53)) % 35.05/35.21 (define @t55 () (tptp.cast_as_carrier_subset @t1)) % 35.05/35.21 (define @t56 () (tptp.one_sorted_str @t1)) % 35.05/35.21 (define @t57 () (=> @t56 (= @t55 @t30))) % 35.05/35.21 (define @t58 () (forall @t9 @t57)) % 35.05/35.21 (define @t59 () (tptp.set_difference @t1 @t2)) % 35.05/35.21 (define @t60 () (@list @t1 @t2 @t35)) % 35.05/35.21 (define @t61 () (forall @t60 (= (= @t35 @t59) (forall @t40 (= @t36 (and (tptp.in @t26 @t1) (not (tptp.in @t26 @t2)))))))) % 35.05/35.21 (define @t62 () (tptp.subset_difference @t30 @t55 @t2)) % 35.05/35.21 (define @t63 () (= (tptp.closed_subset @t2 @t1) (tptp.open_subset @t62 @t1))) % 35.05/35.21 (define @t64 () (forall @t7 (=> @t49 @t63))) % 35.05/35.21 (define @t65 () (=> @t52 @t64)) % 35.05/35.21 (define @t66 () (forall @t9 @t65)) % 35.05/35.21 (define @t67 () (tptp.element @t55 @t31)) % 35.05/35.21 (define @t68 () (forall @t9 (=> @t56 @t67))) % 35.05/35.21 (define @t69 () (tptp.subset_complement @t1 @t2)) % 35.05/35.21 (define @t70 () (tptp.element @t69 @t19)) % 35.05/35.21 (define @t71 () (forall @t4 (=> @t20 @t70))) % 35.05/35.21 (define @t72 () (tptp.element @t42 @t31)) % 35.05/35.21 (define @t73 () (and @t52 @t49)) % 35.05/35.21 (define @t74 () (forall @t4 (=> @t73 @t72))) % 35.05/35.21 (define @t75 () (tptp.subset_difference @t1 @t2 @t35)) % 35.05/35.21 (define @t76 () (tptp.element @t75 @t19)) % 35.05/35.21 (define @t77 () (tptp.element @t35 @t19)) % 35.05/35.21 (define @t78 () (and @t20 @t77)) % 35.05/35.21 (define @t79 () (forall @t60 (=> @t78 @t76))) % 35.05/35.21 (define @t80 () (forall @t9 (=> @t52 @t56))) % 35.05/35.21 (define @t81 () (tptp.v1_membered @t59)) % 35.05/35.21 (define @t82 () (tptp.v2_membered @t59)) % 35.05/35.21 (define @t83 () (tptp.v3_membered @t59)) % 35.05/35.21 (define @t84 () (tptp.v4_membered @t59)) % 35.05/35.21 (define @t85 () (tptp.subset_complement @t1 @t69)) % 35.05/35.21 (define @t86 () (=> @t20 (= @t85 @t2))) % 35.05/35.21 (define @t87 () (forall @t4 @t86)) % 35.05/35.21 (define @t88 () (not @t17)) % 35.05/35.21 (define @t89 () (tptp.empty @t2)) % 35.05/35.21 (define @t90 () (= @t75 (tptp.set_difference @t2 @t35))) % 35.05/35.21 (define @t91 () (forall @t60 (=> @t78 @t90))) % 35.05/35.21 (define @t92 () (tptp.subset_complement @t30 @t2)) % 35.05/35.21 (define @t93 () (=> @t49 (= @t92 @t62))) % 35.05/35.21 (define @t94 () (forall @t7 @t93)) % 35.05/35.21 (define @t95 () (=> @t56 @t94)) % 35.05/35.21 (define @t96 () (forall @t9 @t95)) % 35.05/35.21 (define @t97 () (tptp.element @t1 @t2)) % 35.05/35.21 (define @t98 () (tptp.subset_difference @t30 @t55 @t62)) % 35.05/35.21 (define @t99 () (=> @t49 (= @t98 @t2))) % 35.05/35.21 (define @t100 () (forall @t7 @t99)) % 35.05/35.21 (define @t101 () (=> @t56 @t100)) % 35.05/35.21 (define @t102 () (forall @t9 @t101)) % 35.05/35.21 (define @t103 () (= (tptp.disjoint @t2 @t35) (tptp.subset @t2 (tptp.subset_complement @t1 @t35)))) % 35.05/35.21 (define @t104 () (forall @t47 (=> @t77 @t103))) % 35.05/35.21 (define @t105 () (=> @t20 @t104)) % 35.05/35.21 (define @t106 () (forall @t4 @t105)) % 35.05/35.21 (define @t107 () (tptp.in @t35 @t26)) % 35.05/35.21 (define @t108 () (tptp.subset @t2 @t26)) % 35.05/35.21 (define @t109 () (tptp.closed_subset @t26 @t1)) % 35.05/35.21 (define @t110 () (and @t109 @t108)) % 35.05/35.21 (define @t111 () (=> @t110 @t107)) % 35.05/35.21 (define @t112 () (tptp.element @t26 @t31)) % 35.05/35.21 (define @t113 () (forall @t40 (=> @t112 @t111))) % 35.05/35.21 (define @t114 () (tptp.in @t35 @t42)) % 35.05/35.21 (define @t115 () (= @t114 @t113)) % 35.05/35.21 (define @t116 () (tptp.in @t35 @t30)) % 35.05/35.21 (define @t117 () (=> @t116 @t115)) % 35.05/35.21 (define @t118 () (forall @t47 @t117)) % 35.05/35.21 (define @t119 () (=> @t49 @t118)) % 35.05/35.21 (define @t120 () (forall @t7 @t119)) % 35.05/35.21 (define @t121 () (=> @t52 @t120)) % 35.05/35.21 (define @t122 () (forall @t9 @t121)) % 35.05/35.21 (define @t123 () (not @t122)) % 35.05/35.21 (define @t124 () (tptp.element @t2 (tptp.powerset @t35))) % 35.05/35.21 (define @t125 () (@var "BOUND_VARIABLE_8026" $$unsorted)) % 35.05/35.21 (define @t126 () (tptp.topstr_closure @t1 @t125)) % 35.05/35.21 (define @t127 () (@var "BOUND_VARIABLE_8028" $$unsorted)) % 35.05/35.21 (define @t128 () (= @t127 @t126)) % 35.05/35.21 (define @t129 () (not @t27)) % 35.05/35.21 (define @t130 () (not @t28)) % 35.05/35.21 (define @t131 () (not @t32)) % 35.05/35.21 (define @t132 () (not @t38)) % 35.05/35.21 (define @t133 () (forall @t40 (or @t132 (= (forall @t33 (or @t131 @t130 @t129 (not (tptp.disjoint @t125 @t24)))) (tptp.in @t26 @t127))))) % 35.05/35.21 (define @t134 () (= (= @t126 @t127) @t133)) % 35.05/35.21 (define @t135 () (not (tptp.element @t127 @t31))) % 35.05/35.21 (define @t136 () (not (tptp.element @t125 @t31))) % 35.05/35.21 (define @t137 () (not @t52)) % 35.05/35.21 (define @t138 () (or @t137 @t136 @t135 @t134)) % 35.05/35.21 (define @t139 () (or @t136 @t135 @t134)) % 35.05/35.21 (define @t140 () (or @t137 @t139)) % 35.05/35.21 (define @t141 () (@list @t1 @t125 @t127)) % 35.05/35.21 (define @t142 () (forall @t141 @t140)) % 35.05/35.21 (define @t143 () (@list @t125 @t127)) % 35.05/35.21 (define @t144 () (forall @t143 @t140)) % 35.05/35.21 (define @t145 () (forall @t143 @t139)) % 35.05/35.21 (define @t146 () (@var "BOUND_VARIABLE_7999" $$unsorted)) % 35.05/35.21 (define @t147 () (or @t137 @t145)) % 35.05/35.21 (define @t148 () (tptp.in @t26 @t146)) % 35.05/35.21 (define @t149 () (not @t25)) % 35.05/35.21 (define @t150 () (or @t131 @t130 @t129 @t149)) % 35.05/35.21 (define @t151 () (forall @t33 @t150)) % 35.05/35.21 (define @t152 () (not (tptp.element @t146 @t31))) % 35.05/35.21 (define @t153 () (not @t49)) % 35.05/35.21 (define @t154 () (@list @t2 @t146)) % 35.05/35.21 (define @t155 () (forall @t154 (or @t153 @t152 (= (= @t42 @t146) (forall @t40 (or @t132 (= @t151 @t148))))))) % 35.05/35.21 (define @t156 () (or @t132 (= @t148 @t151))) % 35.05/35.21 (define @t157 () (forall @t40 @t156)) % 35.05/35.21 (define @t158 () (= (= @t146 @t42) @t157)) % 35.05/35.21 (define @t159 () (or @t153 @t152 @t158)) % 35.05/35.21 (define @t160 () (or @t152 @t158)) % 35.05/35.21 (define @t161 () (or @t153 @t160)) % 35.05/35.21 (define @t162 () (forall @t154 @t161)) % 35.05/35.21 (define @t163 () (@list @t146)) % 35.05/35.21 (define @t164 () (forall @t163 @t161)) % 35.05/35.21 (define @t165 () (forall @t163 @t160)) % 35.05/35.21 (define @t166 () (@list @t35)) % 35.05/35.21 (define @t167 () (or @t153 @t165)) % 35.05/35.21 (define @t168 () (= @t36 @t151)) % 35.05/35.21 (define @t169 () (= @t43 (forall @t40 (or @t132 @t168)))) % 35.05/35.21 (define @t170 () (forall @t47 (or (not @t45) @t169))) % 35.05/35.21 (define @t171 () (or @t130 @t129 @t149)) % 35.05/35.21 (define @t172 () (@var "BOUND_VARIABLE_8286" $$unsorted)) % 35.05/35.21 (define @t173 () (@var "BOUND_VARIABLE_8284" $$unsorted)) % 35.05/35.21 (define @t174 () (not @t109)) % 35.05/35.21 (define @t175 () (not @t112)) % 35.05/35.21 (define @t176 () (= (tptp.in @t172 (tptp.topstr_closure @t1 @t173)) (forall @t40 (or @t175 @t174 (not (tptp.subset @t173 @t26)) (tptp.in @t172 @t26))))) % 35.05/35.21 (define @t177 () (not (tptp.in @t172 @t30))) % 35.05/35.21 (define @t178 () (not (tptp.element @t173 @t31))) % 35.05/35.21 (define @t179 () (or @t137 @t178 @t177 @t176)) % 35.05/35.21 (define @t180 () (@list @t1 @t173 @t172)) % 35.05/35.21 (define @t181 () (forall @t180 @t179)) % 35.05/35.21 (define @t182 () (@quantifiers_skolemize @t181 1)) % 35.05/35.21 (define @t183 () (@quantifiers_skolemize @t181 0)) % 35.05/35.21 (define @t184 () (tptp.topstr_closure @t183 @t182)) % 35.05/35.21 (define @t185 () (not (tptp.disjoint @t182 @t24))) % 35.05/35.21 (define @t186 () (not (tptp.open_subset @t24 @t183))) % 35.05/35.21 (define @t187 () (tptp.the_carrier @t183)) % 35.05/35.21 (define @t188 () (tptp.powerset @t187)) % 35.05/35.21 (define @t189 () (not (tptp.element @t24 @t188))) % 35.05/35.21 (define @t190 () (forall @t40 (or (not (tptp.in @t26 @t187)) (= (forall @t33 (or @t189 @t186 @t129 @t185)) (tptp.in @t26 @t184))))) % 35.05/35.21 (define @t191 () (= @t190 (= @t184 @t184))) % 35.05/35.21 (define @t192 () (tptp.element @t184 @t188)) % 35.05/35.21 (define @t193 () (not @t192)) % 35.05/35.21 (define @t194 () (tptp.element @t182 @t188)) % 35.05/35.21 (define @t195 () (not @t194)) % 35.05/35.21 (define @t196 () (tptp.top_str @t183)) % 35.05/35.21 (define @t197 () (not @t196)) % 35.05/35.21 (define @t198 () (or @t197 @t195 @t193 @t191)) % 35.05/35.21 (define @t199 () (forall @t141 (or @t137 @t136 @t135 (= @t133 @t128)))) % 35.05/35.21 (define @t200 () (or @t197 @t195 @t193 @t190)) % 35.05/35.21 (define @t201 () (@list false)) % 35.05/35.21 (define @t202 () (or @t178 @t177 @t176)) % 35.05/35.21 (define @t203 () (or @t137 @t202)) % 35.05/35.21 (define @t204 () (forall @t180 @t203)) % 35.05/35.21 (define @t205 () (@list @t173 @t172)) % 35.05/35.21 (define @t206 () (forall @t205 @t203)) % 35.05/35.21 (define @t207 () (forall @t205 @t202)) % 35.05/35.21 (define @t208 () (@var "BOUND_VARIABLE_8265" $$unsorted)) % 35.05/35.21 (define @t209 () (or @t137 @t207)) % 35.05/35.21 (define @t210 () (not @t108)) % 35.05/35.21 (define @t211 () (= (tptp.in @t208 @t42) (forall @t40 (or @t175 @t174 @t210 (tptp.in @t208 @t26))))) % 35.05/35.21 (define @t212 () (not (tptp.in @t208 @t30))) % 35.05/35.21 (define @t213 () (or @t153 @t212 @t211)) % 35.05/35.21 (define @t214 () (@list @t2 @t208)) % 35.05/35.21 (define @t215 () (forall @t214 @t213)) % 35.05/35.21 (define @t216 () (or @t212 @t211)) % 35.05/35.21 (define @t217 () (or @t153 @t216)) % 35.05/35.21 (define @t218 () (forall @t214 @t217)) % 35.05/35.21 (define @t219 () (@list @t208)) % 35.05/35.21 (define @t220 () (forall @t219 @t217)) % 35.05/35.21 (define @t221 () (forall @t219 @t216)) % 35.05/35.21 (define @t222 () (or @t153 @t221)) % 35.05/35.21 (define @t223 () (or @t175 @t174 @t210 @t107)) % 35.05/35.21 (define @t224 () (= @t114 (forall @t40 @t223))) % 35.05/35.21 (define @t225 () (forall @t47 (or (not @t116) @t224))) % 35.05/35.21 (define @t226 () (or @t174 @t210 @t107)) % 35.05/35.21 (define @t227 () (@quantifiers_skolemize @t181 2)) % 35.05/35.21 (define @t228 () (forall @t40 (or (not (tptp.element @t26 @t188)) (not (tptp.closed_subset @t26 @t183)) (not (tptp.subset @t182 @t26)) (tptp.in @t227 @t26)))) % 35.05/35.21 (define @t229 () (tptp.in @t227 @t184)) % 35.05/35.21 (define @t230 () (= @t229 @t228)) % 35.05/35.21 (define @t231 () (tptp.in @t227 @t187)) % 35.05/35.21 (define @t232 () (not @t231)) % 35.05/35.21 (define @t233 () (or @t197 @t195 @t232 @t230)) % 35.05/35.21 (define @t234 () (@list true)) % 35.05/35.21 (define @t235 () (@list @t233)) % 35.05/35.21 (define @t236 () (or @t197 @t195 @t192)) % 35.05/35.21 (define @t237 () (@list false false false)) % 35.05/35.21 (define @t238 () (@list false false false false)) % 35.05/35.21 (define @t239 () (forall @t33 (or @t189 @t186 (not (tptp.in @t227 @t24)) @t185))) % 35.05/35.21 (define @t240 () (or @t232 (= @t239 @t229))) % 35.05/35.21 (define @t241 () (@list @t227)) % 35.05/35.21 (define @t242 () (= @t229 @t239)) % 35.05/35.21 (define @t243 () (or @t232 @t242)) % 35.05/35.21 (define @t244 () (@list false false)) % 35.05/35.21 (define @t245 () (not @t242)) % 35.05/35.21 (define @t246 () (not @t229)) % 35.05/35.21 (define @t247 () (@quantifiers_skolemize @t228 0)) % 35.05/35.21 (define @t248 () (tptp.in @t227 @t247)) % 35.05/35.21 (define @t249 () (tptp.subset @t182 @t247)) % 35.05/35.21 (define @t250 () (not @t249)) % 35.05/35.21 (define @t251 () (tptp.closed_subset @t247 @t183)) % 35.05/35.21 (define @t252 () (not @t251)) % 35.05/35.21 (define @t253 () (tptp.element @t247 @t188)) % 35.05/35.21 (define @t254 () (not @t253)) % 35.05/35.21 (define @t255 () (or @t254 @t252 @t250 @t248)) % 35.05/35.21 (define @t256 () (not @t255)) % 35.05/35.21 (define @t257 () (not @t228)) % 35.05/35.21 (define @t258 () (tptp.cast_as_carrier_subset @t183)) % 35.05/35.21 (define @t259 () (tptp.subset_difference @t187 @t258 @t247)) % 35.05/35.21 (define @t260 () (tptp.disjoint @t182 @t259)) % 35.05/35.21 (define @t261 () (not @t260)) % 35.05/35.21 (define @t262 () (tptp.in @t227 @t259)) % 35.05/35.21 (define @t263 () (not @t262)) % 35.05/35.21 (define @t264 () (tptp.open_subset @t259 @t183)) % 35.05/35.21 (define @t265 () (not @t264)) % 35.05/35.21 (define @t266 () (tptp.element @t259 @t188)) % 35.05/35.21 (define @t267 () (not @t266)) % 35.05/35.21 (define @t268 () (or @t267 @t265 @t263 @t261)) % 35.05/35.21 (define @t269 () (@var "BOUND_VARIABLE_8069" $$unsorted)) % 35.05/35.21 (define @t270 () (= (tptp.closed_subset @t269 @t1) (tptp.open_subset (tptp.subset_difference @t30 @t55 @t269) @t1))) % 35.05/35.21 (define @t271 () (not (tptp.element @t269 @t31))) % 35.05/35.21 (define @t272 () (or @t271 @t270)) % 35.05/35.21 (define @t273 () (or @t137 @t272)) % 35.05/35.21 (define @t274 () (forall (@list @t1 @t269) @t273)) % 35.05/35.21 (define @t275 () (@list @t269)) % 35.05/35.21 (define @t276 () (forall @t275 @t273)) % 35.05/35.21 (define @t277 () (forall @t275 @t272)) % 35.05/35.21 (define @t278 () (@list @t2)) % 35.05/35.21 (define @t279 () (or @t137 @t277)) % 35.05/35.21 (define @t280 () (forall @t7 (or @t153 @t63))) % 35.05/35.21 (define @t281 () (@list @t183 @t247)) % 35.05/35.21 (define @t282 () (= @t251 @t264)) % 35.05/35.21 (define @t283 () (or @t197 @t254 @t282)) % 35.05/35.21 (define @t284 () (= @t2 @t85)) % 35.05/35.21 (define @t285 () (@list @t187 @t247)) % 35.05/35.21 (define @t286 () (tptp.subset_complement @t187 @t247)) % 35.05/35.21 (define @t287 () (tptp.subset_complement @t187 @t286)) % 35.05/35.21 (define @t288 () (= @t247 @t287)) % 35.05/35.21 (define @t289 () (or @t254 @t288)) % 35.05/35.21 (define @t290 () (@list @t183)) % 35.05/35.21 (define @t291 () (tptp.one_sorted_str @t183)) % 35.05/35.21 (define @t292 () (or @t197 @t291)) % 35.05/35.21 (define @t293 () (@var "BOUND_VARIABLE_8179" $$unsorted)) % 35.05/35.21 (define @t294 () (= (tptp.subset_difference @t30 @t55 @t293) (tptp.subset_complement @t30 @t293))) % 35.05/35.21 (define @t295 () (not (tptp.element @t293 @t31))) % 35.05/35.21 (define @t296 () (not @t56)) % 35.05/35.21 (define @t297 () (or @t295 @t294)) % 35.05/35.21 (define @t298 () (or @t296 @t297)) % 35.05/35.21 (define @t299 () (forall (@list @t1 @t293) @t298)) % 35.05/35.21 (define @t300 () (@list @t293)) % 35.05/35.21 (define @t301 () (forall @t300 @t298)) % 35.05/35.21 (define @t302 () (forall @t300 @t297)) % 35.05/35.21 (define @t303 () (or @t296 @t302)) % 35.05/35.21 (define @t304 () (= @t62 @t92)) % 35.05/35.21 (define @t305 () (forall @t7 (or @t153 @t304))) % 35.05/35.21 (define @t306 () (= @t259 @t286)) % 35.05/35.21 (define @t307 () (not @t291)) % 35.05/35.21 (define @t308 () (or @t307 @t254 @t306)) % 35.05/35.21 (define @t309 () (@var "BOUND_VARIABLE_8205" $$unsorted)) % 35.05/35.21 (define @t310 () (= @t309 (tptp.subset_difference @t30 @t55 (tptp.subset_difference @t30 @t55 @t309)))) % 35.05/35.21 (define @t311 () (not (tptp.element @t309 @t31))) % 35.05/35.21 (define @t312 () (or @t311 @t310)) % 35.05/35.21 (define @t313 () (or @t296 @t312)) % 35.05/35.21 (define @t314 () (forall (@list @t1 @t309) @t313)) % 35.05/35.21 (define @t315 () (@list @t309)) % 35.05/35.21 (define @t316 () (forall @t315 @t313)) % 35.05/35.21 (define @t317 () (forall @t315 @t312)) % 35.05/35.21 (define @t318 () (or @t296 @t317)) % 35.05/35.21 (define @t319 () (= @t2 @t98)) % 35.05/35.21 (define @t320 () (forall @t7 (or @t153 @t319))) % 35.05/35.21 (define @t321 () (tptp.subset_difference @t187 @t258 @t259)) % 35.05/35.21 (define @t322 () (= @t247 @t321)) % 35.05/35.21 (define @t323 () (or @t307 @t254 @t322)) % 35.05/35.21 (define @t324 () (tptp.element @t286 @t188)) % 35.05/35.21 (define @t325 () (or @t254 @t324)) % 35.05/35.21 (define @t326 () (tptp.element @t258 @t188)) % 35.05/35.21 (define @t327 () (or @t307 @t326)) % 35.05/35.21 (define @t328 () (not @t77)) % 35.05/35.21 (define @t329 () (not @t20)) % 35.05/35.21 (define @t330 () (or @t329 @t328)) % 35.05/35.21 (define @t331 () (not @t78)) % 35.05/35.21 (define @t332 () (not @t326)) % 35.05/35.21 (define @t333 () (or @t332 @t254 @t266)) % 35.05/35.21 (define @t334 () (@var "BOUND_VARIABLE_8232" $$unsorted)) % 35.05/35.21 (define @t335 () (= (tptp.disjoint @t2 @t334) (tptp.subset @t2 (tptp.subset_complement @t1 @t334)))) % 35.05/35.21 (define @t336 () (not (tptp.element @t334 @t19))) % 35.05/35.21 (define @t337 () (or @t336 @t335)) % 35.05/35.21 (define @t338 () (or @t329 @t337)) % 35.05/35.21 (define @t339 () (forall (@list @t1 @t2 @t334) @t338)) % 35.05/35.21 (define @t340 () (@list @t334)) % 35.05/35.21 (define @t341 () (forall @t340 @t338)) % 35.05/35.21 (define @t342 () (forall @t340 @t337)) % 35.05/35.21 (define @t343 () (or @t329 @t342)) % 35.05/35.21 (define @t344 () (forall @t47 (or @t328 @t103))) % 35.05/35.21 (define @t345 () (tptp.subset @t182 @t287)) % 35.05/35.21 (define @t346 () (tptp.disjoint @t182 @t286)) % 35.05/35.21 (define @t347 () (= @t346 @t345)) % 35.05/35.21 (define @t348 () (not @t324)) % 35.05/35.21 (define @t349 () (or @t195 @t348 @t347)) % 35.05/35.21 (define @t350 () (tptp.set_difference @t258 @t259)) % 35.05/35.21 (define @t351 () (= @t321 @t350)) % 35.05/35.21 (define @t352 () (or @t332 @t267 @t351)) % 35.05/35.21 (define @t353 () (and @t249 @t288)) % 35.05/35.21 (define @t354 () (tptp.in @t227 @t350)) % 35.05/35.21 (define @t355 () (not @t354)) % 35.05/35.21 (define @t356 () (not @t351)) % 35.05/35.21 (define @t357 () (not @t322)) % 35.05/35.21 (define @t358 () (not @t248)) % 35.05/35.21 (define @t359 () (and @t358 @t322 @t351)) % 35.05/35.21 (define @t360 () (tptp.in @t26 @t258)) % 35.05/35.21 (define @t361 () (forall @t40 (= (tptp.in @t26 @t350) (and @t360 (not (tptp.in @t26 @t259)))))) % 35.05/35.21 (define @t362 () (= (= @t350 @t350) @t361)) % 35.05/35.21 (define @t363 () (@list @t61)) % 35.05/35.21 (define @t364 () (tptp.in @t227 @t258)) % 35.05/35.21 (define @t365 () (and @t364 @t263)) % 35.05/35.21 (define @t366 () (= @t354 @t365)) % 35.05/35.21 (define @t367 () (= @t30 @t55)) % 35.05/35.21 (define @t368 () (= @t187 @t258)) % 35.05/35.21 (define @t369 () (or @t307 @t368)) % 35.05/35.21 (define @t370 () (not @t364)) % 35.05/35.21 (define @t371 () (and @t306 @t346)) % 35.05/35.21 (define @t372 () (not @t239)) % 35.05/35.21 (define @t373 () (@list true false)) % 35.05/35.21 (define @t374 () (@quantifiers_skolemize @t239 0)) % 35.05/35.21 (define @t375 () (tptp.disjoint @t182 @t374)) % 35.05/35.21 (define @t376 () (not @t375)) % 35.05/35.21 (define @t377 () (tptp.in @t227 @t374)) % 35.05/35.21 (define @t378 () (not @t377)) % 35.05/35.21 (define @t379 () (tptp.open_subset @t374 @t183)) % 35.05/35.21 (define @t380 () (not @t379)) % 35.05/35.21 (define @t381 () (tptp.element @t374 @t188)) % 35.05/35.21 (define @t382 () (not @t381)) % 35.05/35.21 (define @t383 () (or @t382 @t380 @t378 @t376)) % 35.05/35.21 (define @t384 () (not @t383)) % 35.05/35.21 (define @t385 () (@list @t383)) % 35.05/35.21 (define @t386 () (@list @t183 @t374)) % 35.05/35.21 (define @t387 () (tptp.subset_difference @t187 @t258 @t374)) % 35.05/35.21 (define @t388 () (tptp.subset_difference @t187 @t258 @t387)) % 35.05/35.21 (define @t389 () (= @t374 @t388)) % 35.05/35.21 (define @t390 () (or @t307 @t382 @t389)) % 35.05/35.21 (define @t391 () (tptp.element @t387 @t188)) % 35.05/35.21 (define @t392 () (or @t332 @t382 @t391)) % 35.05/35.21 (define @t393 () (tptp.set_difference @t258 @t387)) % 35.05/35.21 (define @t394 () (= @t388 @t393)) % 35.05/35.21 (define @t395 () (not @t391)) % 35.05/35.21 (define @t396 () (or @t332 @t395 @t394)) % 35.05/35.21 (define @t397 () (forall @t40 (= (tptp.in @t26 @t393) (and @t360 (not (tptp.in @t26 @t387)))))) % 35.05/35.21 (define @t398 () (= (= @t393 @t393) @t397)) % 35.05/35.21 (define @t399 () (tptp.subset_complement @t187 @t374)) % 35.05/35.21 (define @t400 () (tptp.in @t227 @t399)) % 35.05/35.21 (define @t401 () (tptp.subset @t182 @t399)) % 35.05/35.21 (define @t402 () (not @t401)) % 35.05/35.21 (define @t403 () (tptp.closed_subset @t399 @t183)) % 35.05/35.21 (define @t404 () (not @t403)) % 35.05/35.21 (define @t405 () (tptp.element @t399 @t188)) % 35.05/35.21 (define @t406 () (not @t405)) % 35.05/35.21 (define @t407 () (or @t406 @t404 @t402 @t400)) % 35.05/35.21 (define @t408 () (tptp.open_subset @t388 @t183)) % 35.05/35.21 (define @t409 () (tptp.closed_subset @t387 @t183)) % 35.05/35.21 (define @t410 () (= @t409 @t408)) % 35.05/35.21 (define @t411 () (or @t197 @t395 @t410)) % 35.05/35.21 (define @t412 () (and @t379 @t389)) % 35.05/35.21 (define @t413 () (= @t387 @t399)) % 35.05/35.21 (define @t414 () (or @t307 @t382 @t413)) % 35.05/35.21 (define @t415 () (and @t413 @t409)) % 35.05/35.21 (define @t416 () (or @t382 @t405)) % 35.05/35.21 (define @t417 () (= @t375 @t401)) % 35.05/35.21 (define @t418 () (or @t195 @t382 @t417)) % 35.05/35.21 (define @t419 () (tptp.in @t227 @t387)) % 35.05/35.21 (define @t420 () (and @t413 @t400)) % 35.05/35.21 (define @t421 () (not @t419)) % 35.05/35.21 (define @t422 () (and @t364 @t421)) % 35.05/35.21 (define @t423 () (not @t422)) % 35.05/35.21 (define @t424 () (tptp.in @t227 @t393)) % 35.05/35.21 (define @t425 () (= @t424 @t422)) % 35.05/35.21 (define @t426 () (not @t424)) % 35.05/35.21 (define @t427 () (not @t394)) % 35.05/35.21 (define @t428 () (not @t389)) % 35.05/35.21 (define @t429 () (and @t426 @t394 @t389 @t377)) % 35.05/35.21 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 35.05/35.21 (assume @p2 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 35.05/35.21 (assume @p3 (forall @t9 (=> @t11 (forall @t7 (=> @t6 (and @t5 @t10)))))) % 35.05/35.21 (assume @p4 (forall @t9 (=> @t13 (forall @t7 (=> @t6 (and @t5 @t10 @t12)))))) % 35.05/35.21 (assume @p5 (forall @t9 (=> @t15 (forall @t7 (=> @t6 (and @t5 @t10 @t14 @t12)))))) % 35.05/35.21 (assume @p6 (forall @t9 (=> @t16 (forall @t7 (=> @t6 (and @t5 (tptp.natural @t2) @t10 @t14 @t12)))))) % 35.05/35.21 (assume @p7 (forall @t9 (=> @t17 (and @t8 @t11 @t13 @t15 @t16)))) % 35.05/35.21 (assume @p8 (forall @t9 (=> @t8 (forall @t7 (=> @t20 @t18))))) % 35.05/35.21 (assume @p9 (forall @t9 (=> @t11 (forall @t7 (=> @t20 (and @t18 @t21)))))) % 35.05/35.21 (assume @p10 (forall @t9 (=> @t13 (forall @t7 (=> @t20 (and @t18 @t21 @t22)))))) % 35.05/35.21 (assume @p11 (forall @t9 (=> @t15 (forall @t7 (=> @t20 (and @t18 @t21 @t22 @t23)))))) % 35.05/35.21 (assume @p12 (forall @t9 (=> @t16 @t15))) % 35.05/35.21 (assume @p13 (forall @t9 (=> @t16 (forall @t7 (=> @t20 (and @t18 @t21 @t22 @t23 (tptp.v5_membered @t2))))))) % 35.05/35.21 (assume @p14 (forall @t9 (=> @t15 @t13))) % 35.05/35.21 (assume @p15 (forall @t9 (=> @t13 @t11))) % 35.05/35.21 (assume @p16 (forall @t9 (=> @t11 @t8))) % 35.05/35.21 (assume @p17 @t54) % 35.05/35.21 (assume @p18 @t58) % 35.05/35.21 (assume @p19 @t61) % 35.05/35.21 (assume @p20 @t66) % 35.05/35.21 (assume @p21 true) % 35.05/35.21 (assume @p22 @t68) % 35.05/35.21 (assume @p23 @t71) % 35.05/35.21 (assume @p24 @t74) % 35.05/35.21 (assume @p25 @t79) % 35.05/35.21 (assume @p26 @t80) % 35.05/35.21 (assume @p27 (exists @t9 @t52)) % 35.05/35.21 (assume @p28 (exists @t9 @t56)) % 35.05/35.21 (assume @p29 (forall @t9 (exists @t7 @t6))) % 35.05/35.21 (assume @p30 (forall @t9 (not (tptp.empty @t19)))) % 35.05/35.21 (assume @p31 (forall @t4 (=> @t8 @t81))) % 35.05/35.21 (assume @p32 (forall @t4 (=> @t11 (and @t81 @t82)))) % 35.05/35.21 (assume @p33 (forall @t4 (=> @t13 (and @t81 @t82 @t83)))) % 35.05/35.21 (assume @p34 (forall @t4 (=> @t15 (and @t81 @t82 @t83 @t84)))) % 35.05/35.21 (assume @p35 (forall @t4 (=> @t16 (and @t81 @t82 @t83 @t84 (tptp.v5_membered @t59))))) % 35.05/35.21 (assume @p36 (and (tptp.empty tptp.empty_set) (tptp.v1_membered tptp.empty_set) (tptp.v2_membered tptp.empty_set) (tptp.v3_membered tptp.empty_set) (tptp.v4_membered tptp.empty_set) (tptp.v5_membered tptp.empty_set))) % 35.05/35.21 (assume @p37 @t87) % 35.05/35.21 (assume @p38 (exists @t9 (and @t88 @t8 @t11 @t13 @t15 @t16))) % 35.05/35.21 (assume @p39 (forall @t9 (=> @t88 (exists @t7 (and @t20 (not @t89)))))) % 35.05/35.21 (assume @p40 (forall @t9 (exists @t7 (and @t20 @t89)))) % 35.05/35.21 (assume @p41 @t91) % 35.05/35.21 (assume @p42 (forall @t4 (tptp.subset @t1 @t1))) % 35.05/35.21 (assume @p43 (forall @t4 (=> (tptp.disjoint @t1 @t2) (tptp.disjoint @t2 @t1)))) % 35.05/35.21 (assume @p44 @t96) % 35.05/35.21 (assume @p45 (forall @t4 (=> @t3 @t97))) % 35.05/35.21 (assume @p46 @t102) % 35.05/35.21 (assume @p47 (forall @t4 (=> @t97 (or @t89 @t3)))) % 35.05/35.21 (assume @p48 (forall @t9 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 35.05/35.21 (assume @p49 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 35.05/35.21 (assume @p50 @t106) % 35.05/35.21 (assume @p51 @t123) % 35.05/35.21 (assume @p52 (forall @t9 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 35.05/35.21 (assume @p53 (forall @t60 (=> (and @t3 @t124) (tptp.element @t1 @t35)))) % 35.05/35.21 (assume @p54 (forall @t60 (not (and @t3 @t124 (tptp.empty @t35))))) % 35.05/35.21 (assume @p55 (forall @t9 (=> @t17 (= @t1 tptp.empty_set)))) % 35.05/35.21 (assume @p56 (forall @t4 (not (and @t3 @t89)))) % 35.05/35.21 (assume @p57 (forall @t4 (not (and @t17 (not (= @t1 @t2)) @t89)))) % 35.05/35.21 (step @p58 :rule eq-symm :args (@t128 @t133)) % 35.05/35.21 (step @p59 :rule refl :args (@t133)) % 35.05/35.21 (step @p60 :rule eq-symm :args (@t126 @t127)) % 35.05/35.21 (step @p61 :rule cong :premises (@p60 @p59) :args (@t134)) % 35.05/35.21 (step @p62 :rule trans :premises (@p61 @p58)) % 35.05/35.21 (step @p63 :rule refl :args (@t135)) % 35.05/35.21 (step @p64 :rule refl :args (@t136)) % 35.05/35.21 (step @p65 :rule refl :args (@t137)) % 35.05/35.21 (step @p66 :rule nary_cong :premises (@p65 @p64 @p63 @p62) :args (@t138)) % 35.05/35.21 (step @p67 :rule aci_norm :args ((= @t140 @t138))) % 35.05/35.21 (step @p68 :rule trans :premises (@p67 @p66)) % 35.05/35.21 (step @p69 :rule cong :premises (@p68) :args (@t142)) % 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35.05/35.21 (step @p84 :rule refl :args (@t132)) % 35.05/35.21 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t156)) % 35.05/35.21 (step @p86 :rule cong :premises (@p85) :args (@t157)) % 35.05/35.21 (step @p87 :rule eq-symm :args (@t146 @t42)) % 35.05/35.21 (step @p88 :rule cong :premises (@p87 @p86) :args (@t158)) % 35.05/35.21 (step @p89 :rule refl :args (@t152)) % 35.05/35.21 (step @p90 :rule refl :args (@t153)) % 35.05/35.21 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88) :args (@t159)) % 35.05/35.21 (step @p92 :rule aci_norm :args ((= @t161 @t159))) % 35.05/35.21 (step @p93 :rule trans :premises (@p92 @p91)) % 35.05/35.21 (step @p94 :rule cong :premises (@p93) :args (@t162)) % 35.05/35.21 (step @p95 :rule quant-merge-prenex :args ((= (forall @t7 @t164) @t162))) % 35.05/35.21 (step @p96 :rule alpha_equiv :args (@t165 (@list @t146) @t166)) % 35.05/35.21 (step @p97 :rule refl :args (@t153)) % 35.05/35.21 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t167)) 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% 35.05/35.21 (step @p142 :rule refl :args (@t52)) % 35.05/35.21 (step @p143 :rule cong :premises (@p142 @p141) :args (@t53)) % 35.05/35.21 (step @p144 :rule cong :premises (@p143) :args (@t54)) % 35.05/35.21 (step @p145 :rule trans :premises (@p144 @p82)) % 35.05/35.21 (step @p146 :rule eq_resolve :premises (@p17 @p145)) % 35.05/35.21 (step @p147 :rule bool-eq-true :args (@t190)) % 35.05/35.21 (step @p148 :rule eq-refl :args (@t184)) % 35.05/35.21 (step @p149 :rule refl :args (@t190)) % 35.05/35.21 (step @p150 :rule cong :premises (@p149 @p148) :args (@t191)) % 35.05/35.21 (step @p151 :rule trans :premises (@p150 @p147)) % 35.05/35.21 (step @p152 :rule refl :args (@t193)) % 35.05/35.21 (step @p153 :rule refl :args (@t195)) % 35.05/35.21 (step @p154 :rule refl :args (@t197)) % 35.05/35.21 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152 @p151) :args (@t198)) % 35.05/35.21 (step @p156 :rule refl :args (@t199)) % 35.05/35.21 (step @p157 :rule cong :premises (@p156 @p155) :args 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35.05/35.21 (step @p171 :rule trans :premises (@p170 @p169)) % 35.05/35.21 (step @p172 :rule cong :premises (@p171) :args (@t74)) % 35.05/35.21 (step @p173 :rule eq_resolve :premises (@p24 @p172)) % 35.05/35.21 (step @p174 :rule instantiate :premises (@p173) :args ((@list @t183 @t182))) % 35.05/35.21 (step @p175 :rule aci_norm :args ((= @t203 @t179))) % 35.05/35.21 (step @p176 :rule cong :premises (@p175) :args (@t204)) % 35.05/35.21 (step @p177 :rule quant-merge-prenex :args ((= (forall @t9 @t206) @t204))) % 35.05/35.21 (step @p178 :rule alpha_equiv :args (@t207 (@list @t173 @t172) (@list @t2 @t208))) % 35.05/35.21 (step @p179 :rule nary_cong :premises (@p72 @p178) :args (@t209)) % 35.05/35.21 (step @p180 :rule quant-miniscope-or :args ((= @t206 @t209))) % 35.05/35.21 (step @p181 :rule trans :premises (@p180 @p179)) % 35.05/35.21 (step @p182 :rule symm :premises (@p181)) % 35.05/35.21 (step @p183 :rule cong :premises (@p182) :args ((forall @t9 (or @t137 @t215)))) % 35.05/35.21 (step @p184 :rule trans :premises (@p183 @p177)) % 35.05/35.21 (step @p185 :rule trans :premises (@p184 @p176)) % 35.05/35.21 (step @p186 :rule bool-impl-elim :args (@t52 @t215)) % 35.05/35.21 (step @p187 :rule cong :premises (@p186) :args ((forall @t9 (=> @t52 @t215)))) % 35.05/35.21 (step @p188 :rule trans :premises (@p187 @p185)) % 35.05/35.21 (step @p189 :rule aci_norm :args ((= @t217 @t213))) % 35.05/35.21 (step @p190 :rule cong :premises (@p189) :args (@t218)) % 35.05/35.21 (step @p191 :rule quant-merge-prenex :args ((= (forall @t7 @t220) @t218))) % 35.05/35.21 (step @p192 :rule alpha_equiv :args (@t221 (@list @t208) @t166)) % 35.05/35.21 (step @p193 :rule nary_cong :premises (@p97 @p192) :args (@t222)) % 35.05/35.21 (step @p194 :rule quant-miniscope-or :args ((= @t220 @t222))) % 35.05/35.21 (step @p195 :rule trans :premises (@p194 @p193)) % 35.05/35.21 (step @p196 :rule symm :premises (@p195)) % 35.05/35.21 (step @p197 :rule cong :premises (@p196) :args ((forall @t7 (or @t153 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(step @p226 :rule cong :premises (@p225) :args (@t120)) % 35.05/35.21 (step @p227 :rule trans :premises (@p226 @p202)) % 35.05/35.21 (step @p228 :rule cong :premises (@p142 @p227) :args (@t121)) % 35.05/35.21 (step @p229 :rule cong :premises (@p228) :args (@t122)) % 35.05/35.21 (step @p230 :rule trans :premises (@p229 @p188)) % 35.05/35.21 (step @p231 :rule cong :premises (@p230) :args (@t123)) % 35.05/35.21 (step @p232 :rule eq_resolve :premises (@p51 @p231)) % 35.05/35.21 (step @p233 :rule skolemize :premises (@p232)) % 35.05/35.21 (step @p234 :rule bool-double-not-elim :args (@t194)) % 35.05/35.21 (step @p235 :rule refl :args (@t233)) % 35.05/35.21 (step @p236 :rule nary_cong :premises (@p235 @p234) :args ((or @t233 (not @t195)))) % 35.05/35.21 (step @p237 :rule cnf_or_neg :args (@t233 1)) % 35.05/35.21 (step @p238 :rule eq_resolve :premises (@p237 @p236)) % 35.05/35.21 (step @p239 :rule reordering :premises (@p238) :args ((or @t194 @t233))) % 35.05/35.21 (step @p240 :rule chain_m_resolution :premises (@p239 @p233) :args (@t194 @t234 @t235)) % 35.05/35.21 (step @p241 :rule bool-double-not-elim :args (@t196)) % 35.05/35.21 (step @p242 :rule nary_cong :premises (@p235 @p241) :args ((or @t233 (not @t197)))) % 35.05/35.21 (step @p243 :rule cnf_or_neg :args (@t233 0)) % 35.05/35.21 (step @p244 :rule eq_resolve :premises (@p243 @p242)) % 35.05/35.21 (step @p245 :rule reordering :premises (@p244) :args ((or @t196 @t233))) % 35.05/35.21 (step @p246 :rule chain_m_resolution :premises (@p245 @p233) :args (@t196 @t234 @t235)) % 35.05/35.21 (step @p247 :rule cnf_or_pos :args (@t236)) % 35.05/35.21 (step @p248 :rule reordering :premises (@p247) :args ((or @t197 @t195 @t192 (not @t236)))) % 35.05/35.21 (step @p249 :rule chain_m_resolution :premises (@p248 @p246 @p240 @p174) :args (@t192 @t237 (@list @t196 @t194 @t236))) % 35.05/35.21 (step @p250 :rule cnf_or_pos :args (@t200)) % 35.05/35.21 (step @p251 :rule reordering :premises (@p250) :args ((or @t197 @t195 @t193 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@t418))) % 35.05/35.21 (step @p720 :rule bool-double-not-elim :args (@t375)) % 35.05/35.21 (step @p721 :rule nary_cong :premises (@p603 @p720) :args ((or @t383 (not @t376)))) % 35.05/35.21 (step @p722 :rule cnf_or_neg :args (@t383 3)) % 35.05/35.21 (step @p723 :rule eq_resolve :premises (@p722 @p721)) % 35.05/35.21 (step @p724 :rule reordering :premises (@p723) :args ((or @t375 @t383))) % 35.05/35.21 (step @p725 :rule chain_m_resolution :premises (@p724 @p601) :args (@t375 @t234 @t385)) % 35.05/35.21 (step @p726 :rule cnf_equiv_pos1 :args (@t417)) % 35.05/35.21 (step @p727 :rule reordering :premises (@p726) :args ((or @t376 @t401 (not @t417)))) % 35.05/35.21 (step @p728 :rule chain_m_resolution :premises (@p727 @p725 @p719) :args (@t401 @t244 (@list @t375 @t417))) % 35.05/35.21 (step @p729 :rule cnf_or_pos :args (@t407)) % 35.05/35.21 (step @p730 :rule reordering :premises (@p729) :args ((or @t402 @t406 @t404 @t400 (not @t407)))) % 35.05/35.21 (step @p731 :rule chain_m_resolution :premises (@p730 @p728 @p715 @p711 @p651) :args (@t400 @t238 (@list @t401 @t405 @t403 @t407))) % 35.05/35.21 (assume-push @p856 @t413) % 35.05/35.21 (assume-push @p857 @t400) % 35.05/35.21 (assume-push @p858 @t400) % 35.05/35.21 (assume-push @p859 @t413) % 35.05/35.21 (step @p736 :rule true_intro :premises (@p857)) % 35.05/35.21 (step @p737 :rule cong :premises (@p504 @p856) :args (@t419)) % 35.05/35.21 (step @p738 :rule trans :premises (@p737 @p736)) % 35.05/35.21 (step @p739 :rule true_elim :premises (@p738)) % 35.05/35.21 (step-pop @p860 :rule scope :premises (@p739)) % 35.05/35.21 (step-pop @p861 :rule scope :premises (@p860)) % 35.05/35.21 (step @p740 :rule process_scope :premises (@p861) :args (@t419)) % 35.05/35.21 (step @p743 :rule and_intro :premises (@p857 @p856)) % 35.05/35.21 (step @p744 :rule modus_ponens :premises (@p743 @p740)) % 35.05/35.21 (step-pop @p862 :rule scope :premises (@p744)) % 35.05/35.21 (step-pop @p863 :rule scope :premises (@p862)) % 35.05/35.21 (step @p745 :rule process_scope :premises (@p863) :args (@t419)) % 35.05/35.21 (step @p748 :rule implies_elim :premises (@p745)) % 35.05/35.21 (step @p749 :rule cnf_and_neg :args (@t420)) % 35.05/35.21 (step @p750 :rule resolution :premises (@p749 @p748) :args (true @t420)) % 35.05/35.21 (step @p751 :rule reordering :premises (@p750) :args ((or (not @t413) @t419 (not @t400)))) % 35.05/35.21 (step @p752 :rule chain_m_resolution :premises (@p751 @p690 @p731) :args (@t419 @t244 (@list @t413 @t400))) % 35.05/35.21 (step @p753 :rule cnf_and_pos :args (@t422 1)) % 35.05/35.21 (step @p754 :rule reordering :premises (@p753) :args ((or @t421 @t423))) % 35.05/35.21 (step @p755 :rule chain_m_resolution :premises (@p754 @p752) :args (@t423 @t201 (@list @t419))) % 35.05/35.21 (step @p756 :rule cnf_equiv_pos1 :args (@t425)) % 35.05/35.21 (step @p757 :rule reordering :premises (@p756) :args ((or @t422 @t426 (not @t425)))) % 35.05/35.21 (step @p758 :rule chain_m_resolution :premises (@p757 @p755 @p642) :args (@t426 @t373 (@list @t422 @t425))) % 35.05/35.21 (step @p759 :rule bool-double-not-elim :args (@t424)) % 35.05/35.21 (step @p760 :rule refl :args (@t427)) % 35.05/35.21 (step @p761 :rule refl :args (@t428)) % 35.05/35.21 (step @p762 :rule refl :args (@t378)) % 35.05/35.21 (step @p763 :rule nary_cong :premises (@p762 @p761 @p760 @p759) :args ((or @t378 @t428 @t427 (not @t426)))) % 35.05/35.21 (assume-push @p864 @t426) % 35.05/35.21 (assume-push @p865 @t394) % 35.05/35.21 (assume-push @p866 @t389) % 35.05/35.21 (assume-push @p867 @t377) % 35.05/35.21 (step @p768 :rule evaluate :args ((= true false))) % 35.05/35.21 (step @p769 :rule false_intro :premises (@p864)) % 35.05/35.21 (step @p770 :rule trans :premises (@p866 @p865)) % 35.05/35.21 (step @p771 :rule cong :premises (@p504 @p770) :args (@t377)) % 35.05/35.21 (step @p772 :rule true_intro :premises (@p867)) % 35.05/35.21 (step @p773 :rule symm :premises (@p772)) % 35.05/35.21 (step @p774 :rule trans :premises (@p773 @p771 @p769)) % 35.05/35.21 (step @p775 false :rule eq_resolve :premises (@p774 @p768)) % 35.05/35.21 (step-pop @p868 :rule scope :premises (@p775)) % 35.05/35.21 (step-pop @p869 :rule scope :premises (@p868)) % 35.05/35.21 (step-pop @p870 :rule scope :premises (@p869)) % 35.05/35.21 (step-pop @p871 :rule scope :premises (@p870)) % 35.05/35.21 (step @p776 :rule process_scope :premises (@p871) :args (false)) % 35.05/35.21 (assume-push @p872 @t377) % 35.05/35.21 (assume-push @p873 @t389) % 35.05/35.21 (assume-push @p874 @t394) % 35.05/35.21 (assume-push @p875 @t426) % 35.05/35.21 (step @p785 :rule and_intro :premises (@p875 @p874 @p873 @p872)) % 35.05/35.21 (step-pop @p876 :rule scope :premises (@p785)) % 35.05/35.21 (step-pop @p877 :rule scope :premises (@p876)) % 35.05/35.21 (step-pop @p878 :rule scope :premises (@p877)) % 35.05/35.21 (step-pop @p879 :rule scope :premises (@p878)) % 35.05/35.21 (step @p786 :rule process_scope :premises (@p879) :args (@t429)) % 35.05/35.21 (step @p791 :rule implies_elim :premises (@p786)) % 35.05/35.21 (step @p792 :rule resolution :premises (@p791 @p776) :args (true @t429)) % 35.05/35.21 (step @p793 :rule not_and :premises (@p792)) % 35.05/35.21 (step @p794 :rule eq_resolve :premises (@p793 @p763)) % 35.05/35.21 (step @p795 false :rule chain_m_resolution :premises (@p794 @p758 @p626 @p618 @p608) :args (false (@list true false false false) (@list @t424 @t394 @t389 @t377))) % 35.05/35.21 ) % 35.05/35.21 % SZS output end Proof % 35.05/35.21 % cvc5 exiting %------------------------------------------------------------------------------