%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU350+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 : n018.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 08:51:28 AM UTC 2026 % Result : Theorem 0.46s 0.64s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU350+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:00:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.64 % SZS status Theorem % 0.46/0.64 % SZS output start Proof % 0.46/0.64 ( % 0.46/0.64 (declare-sort $$unsorted 0) % 0.46/0.64 (declare-const tptp.relstr_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.empty_set $$unsorted) % 0.46/0.64 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.join_commutative (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.meet_associative (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.join_associative (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.meet_commutative (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.latt_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.join_absorbing (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.meet_absorbing (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.poset_of_lattice (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.lattice (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.k2_lattice3 (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.relation_of_lattice (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.cast_to_el_of_LattPOSet (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.cast_to_el_of_lattice (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.46/0.64 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 0.46/0.64 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.46/0.64 (define @t1 () (@var "A" $$unsorted)) % 0.46/0.64 (define @t2 () (tptp.the_InternalRel @t1)) % 0.46/0.64 (define @t3 () (tptp.the_carrier @t1)) % 0.46/0.64 (define @t4 () (tptp.strict_rel_str @t1)) % 0.46/0.64 (define @t5 () (tptp.rel_str @t1)) % 0.46/0.64 (define @t6 () (@list @t1)) % 0.46/0.64 (define @t7 () (@var "B" $$unsorted)) % 0.46/0.64 (define @t8 () (tptp.in @t1 @t7)) % 0.46/0.64 (define @t9 () (@list @t1 @t7)) % 0.46/0.64 (define @t10 () (tptp.empty_carrier @t1)) % 0.46/0.64 (define @t11 () (not @t10)) % 0.46/0.64 (define @t12 () (and @t11 (tptp.join_commutative @t1) (tptp.join_associative @t1) (tptp.meet_commutative @t1) (tptp.meet_associative @t1) (tptp.meet_absorbing @t1) (tptp.join_absorbing @t1))) % 0.46/0.64 (define @t13 () (tptp.lattice @t1)) % 0.46/0.64 (define @t14 () (and @t11 @t13)) % 0.46/0.64 (define @t15 () (tptp.latt_str @t1)) % 0.46/0.64 (define @t16 () (@var "C" $$unsorted)) % 0.46/0.64 (define @t17 () (tptp.cartesian_product2 @t1 @t7)) % 0.46/0.64 (define @t18 () (tptp.element @t16 (tptp.powerset @t17))) % 0.46/0.64 (define @t19 () (@list @t1 @t7 @t16)) % 0.46/0.64 (define @t20 () (tptp.k2_lattice3 @t1)) % 0.46/0.64 (define @t21 () (tptp.poset_of_lattice @t1)) % 0.46/0.64 (define @t22 () (and @t11 @t13 @t15)) % 0.46/0.64 (define @t23 () (tptp.cast_to_el_of_LattPOSet @t1 @t7)) % 0.46/0.64 (define @t24 () (tptp.element @t7 @t3)) % 0.46/0.64 (define @t25 () (=> @t24 (= @t23 @t7))) % 0.46/0.64 (define @t26 () (@list @t7)) % 0.46/0.64 (define @t27 () (forall @t26 @t25)) % 0.46/0.64 (define @t28 () (=> @t22 @t27)) % 0.46/0.64 (define @t29 () (forall @t6 @t28)) % 0.46/0.64 (define @t30 () (tptp.cast_to_el_of_lattice @t1 @t7)) % 0.46/0.64 (define @t31 () (tptp.the_carrier @t21)) % 0.46/0.64 (define @t32 () (tptp.element @t7 @t31)) % 0.46/0.64 (define @t33 () (=> @t32 (= @t30 @t7))) % 0.46/0.64 (define @t34 () (forall @t26 @t33)) % 0.46/0.64 (define @t35 () (=> @t22 @t34)) % 0.46/0.64 (define @t36 () (forall @t6 @t35)) % 0.46/0.64 (define @t37 () (tptp.rel_str_of @t1 @t7)) % 0.46/0.64 (define @t38 () (tptp.strict_rel_str @t37)) % 0.46/0.64 (define @t39 () (tptp.relation_of2 @t7 @t1 @t1)) % 0.46/0.64 (define @t40 () (tptp.antisymmetric_relstr @t21)) % 0.46/0.64 (define @t41 () (tptp.transitive_relstr @t21)) % 0.46/0.64 (define @t42 () (tptp.reflexive_relstr @t21)) % 0.46/0.64 (define @t43 () (tptp.strict_rel_str @t21)) % 0.46/0.64 (define @t44 () (tptp.element @t30 @t3)) % 0.46/0.64 (define @t45 () (and @t11 @t13 @t15 @t32)) % 0.46/0.64 (define @t46 () (forall @t9 (=> @t45 @t44))) % 0.46/0.64 (define @t47 () (tptp.relation_of_lattice @t1)) % 0.46/0.64 (define @t48 () (tptp.one_sorted_str @t1)) % 0.46/0.64 (define @t49 () (tptp.meet_semilatt_str @t1)) % 0.46/0.64 (define @t50 () (tptp.join_semilatt_str @t1)) % 0.46/0.64 (define @t51 () (tptp.relation_of2_as_subset @t16 @t1 @t7)) % 0.46/0.64 (define @t52 () (tptp.relation_of2 @t16 @t1 @t7)) % 0.46/0.64 (define @t53 () (@list @t16)) % 0.46/0.64 (define @t54 () (tptp.empty @t1)) % 0.46/0.64 (define @t55 () (not @t54)) % 0.46/0.64 (define @t56 () (and @t11 @t48)) % 0.46/0.64 (define @t57 () (tptp.powerset @t1)) % 0.46/0.64 (define @t58 () (tptp.antisymmetric_relstr @t1)) % 0.46/0.64 (define @t59 () (tptp.transitive_relstr @t1)) % 0.46/0.64 (define @t60 () (tptp.reflexive_relstr @t1)) % 0.46/0.64 (define @t61 () (tptp.empty @t7)) % 0.46/0.64 (define @t62 () (not @t61)) % 0.46/0.64 (define @t63 () (@var "D" $$unsorted)) % 0.46/0.64 (define @t64 () (tptp.element @t7 @t57)) % 0.46/0.64 (define @t65 () (tptp.element @t1 @t7)) % 0.46/0.64 (define @t66 () (tptp.poset_of_lattice @t7)) % 0.46/0.64 (define @t67 () (= (tptp.latt_element_smaller @t7 @t16 @t1) (tptp.relstr_set_smaller @t66 @t1 (tptp.cast_to_el_of_LattPOSet @t7 @t16)))) % 0.46/0.64 (define @t68 () (tptp.the_carrier @t7)) % 0.46/0.64 (define @t69 () (tptp.element @t16 @t68)) % 0.46/0.64 (define @t70 () (forall @t53 (=> @t69 @t67))) % 0.46/0.64 (define @t71 () (tptp.latt_str @t7)) % 0.46/0.64 (define @t72 () (tptp.lattice @t7)) % 0.46/0.64 (define @t73 () (tptp.empty_carrier @t7)) % 0.46/0.64 (define @t74 () (not @t73)) % 0.46/0.64 (define @t75 () (and @t74 @t72 @t71)) % 0.46/0.64 (define @t76 () (=> @t75 @t70)) % 0.46/0.64 (define @t77 () (forall @t9 @t76)) % 0.46/0.64 (define @t78 () (= (tptp.relstr_set_smaller @t66 @t1 @t16) (tptp.latt_element_smaller @t7 (tptp.cast_to_el_of_lattice @t7 @t16) @t1))) % 0.46/0.64 (define @t79 () (tptp.the_carrier @t66)) % 0.46/0.64 (define @t80 () (tptp.element @t16 @t79)) % 0.46/0.64 (define @t81 () (forall @t53 (=> @t80 @t78))) % 0.46/0.64 (define @t82 () (=> @t75 @t81)) % 0.46/0.64 (define @t83 () (forall @t9 @t82)) % 0.46/0.64 (define @t84 () (not @t83)) % 0.46/0.64 (define @t85 () (tptp.element @t7 (tptp.powerset @t16))) % 0.46/0.64 (define @t86 () (@var "BOUND_VARIABLE_7811" $$unsorted)) % 0.46/0.64 (define @t87 () (= @t86 (tptp.cast_to_el_of_lattice @t1 @t86))) % 0.46/0.64 (define @t88 () (not (tptp.element @t86 @t31))) % 0.46/0.64 (define @t89 () (not @t15)) % 0.46/0.64 (define @t90 () (not @t13)) % 0.46/0.64 (define @t91 () (or @t88 @t87)) % 0.46/0.64 (define @t92 () (or @t10 @t90 @t89 @t91)) % 0.46/0.64 (define @t93 () (forall (@list @t1 @t86) @t92)) % 0.46/0.64 (define @t94 () (@list @t86)) % 0.46/0.64 (define @t95 () (forall @t94 @t92)) % 0.46/0.64 (define @t96 () (forall @t94 @t91)) % 0.46/0.64 (define @t97 () (@list @t7)) % 0.46/0.64 (define @t98 () (or @t10 @t90 @t89 @t96)) % 0.46/0.64 (define @t99 () (= @t7 @t30)) % 0.46/0.64 (define @t100 () (not @t32)) % 0.46/0.64 (define @t101 () (forall @t26 (or @t100 @t99))) % 0.46/0.64 (define @t102 () (or @t10 @t90 @t89 @t101)) % 0.46/0.64 (define @t103 () (or @t10 @t90 @t89)) % 0.46/0.64 (define @t104 () (not @t11)) % 0.46/0.64 (define @t105 () (or @t104 @t90 @t89)) % 0.46/0.64 (define @t106 () (not @t22)) % 0.46/0.64 (define @t107 () (@var "BOUND_VARIABLE_8064" $$unsorted)) % 0.46/0.64 (define @t108 () (= (tptp.relstr_set_smaller @t66 @t1 @t107) (tptp.latt_element_smaller @t7 (tptp.cast_to_el_of_lattice @t7 @t107) @t1))) % 0.46/0.64 (define @t109 () (not (tptp.element @t107 @t79))) % 0.46/0.64 (define @t110 () (not @t71)) % 0.46/0.64 (define @t111 () (not @t72)) % 0.46/0.64 (define @t112 () (or @t73 @t111 @t110 @t109 @t108)) % 0.46/0.64 (define @t113 () (@list @t1 @t7 @t107)) % 0.46/0.64 (define @t114 () (forall @t113 @t112)) % 0.46/0.64 (define @t115 () (@quantifiers_skolemize @t114 2)) % 0.46/0.64 (define @t116 () (@quantifiers_skolemize @t114 1)) % 0.46/0.64 (define @t117 () (@list @t116 @t115)) % 0.46/0.64 (define @t118 () (or @t109 @t108)) % 0.46/0.64 (define @t119 () (or @t73 @t111 @t110 @t118)) % 0.46/0.64 (define @t120 () (forall @t113 @t119)) % 0.46/0.64 (define @t121 () (@list @t107)) % 0.46/0.64 (define @t122 () (forall @t121 @t119)) % 0.46/0.64 (define @t123 () (forall @t121 @t118)) % 0.46/0.64 (define @t124 () (@list @t16)) % 0.46/0.64 (define @t125 () (or @t73 @t111 @t110 @t123)) % 0.46/0.64 (define @t126 () (forall @t53 (or (not @t80) @t78))) % 0.46/0.64 (define @t127 () (or @t73 @t111 @t110 @t126)) % 0.46/0.64 (define @t128 () (or @t73 @t111 @t110)) % 0.46/0.64 (define @t129 () (not @t74)) % 0.46/0.64 (define @t130 () (or @t129 @t111 @t110)) % 0.46/0.64 (define @t131 () (not @t75)) % 0.46/0.64 (define @t132 () (tptp.poset_of_lattice @t116)) % 0.46/0.64 (define @t133 () (tptp.element @t115 (tptp.the_carrier @t132))) % 0.46/0.64 (define @t134 () (@quantifiers_skolemize @t114 0)) % 0.46/0.64 (define @t135 () (tptp.cast_to_el_of_lattice @t116 @t115)) % 0.46/0.64 (define @t136 () (tptp.latt_element_smaller @t116 @t135 @t134)) % 0.46/0.64 (define @t137 () (tptp.relstr_set_smaller @t132 @t134 @t115)) % 0.46/0.64 (define @t138 () (= @t137 @t136)) % 0.46/0.64 (define @t139 () (not @t133)) % 0.46/0.64 (define @t140 () (tptp.latt_str @t116)) % 0.46/0.64 (define @t141 () (not @t140)) % 0.46/0.64 (define @t142 () (tptp.lattice @t116)) % 0.46/0.64 (define @t143 () (not @t142)) % 0.46/0.64 (define @t144 () (tptp.empty_carrier @t116)) % 0.46/0.64 (define @t145 () (or @t144 @t143 @t141 @t139 @t138)) % 0.46/0.64 (define @t146 () (@list true)) % 0.46/0.64 (define @t147 () (@list @t145)) % 0.46/0.64 (define @t148 () (= @t115 @t135)) % 0.46/0.64 (define @t149 () (or @t144 @t143 @t141 @t139 @t148)) % 0.46/0.64 (define @t150 () (@list true false false false false)) % 0.46/0.64 (define @t151 () (@var "BOUND_VARIABLE_7788" $$unsorted)) % 0.46/0.64 (define @t152 () (= @t151 (tptp.cast_to_el_of_LattPOSet @t1 @t151))) % 0.46/0.64 (define @t153 () (not (tptp.element @t151 @t3))) % 0.46/0.64 (define @t154 () (or @t153 @t152)) % 0.46/0.64 (define @t155 () (or @t10 @t90 @t89 @t154)) % 0.46/0.64 (define @t156 () (forall (@list @t1 @t151) @t155)) % 0.46/0.64 (define @t157 () (@list @t151)) % 0.46/0.64 (define @t158 () (forall @t157 @t155)) % 0.46/0.64 (define @t159 () (forall @t157 @t154)) % 0.46/0.64 (define @t160 () (or @t10 @t90 @t89 @t159)) % 0.46/0.64 (define @t161 () (= @t7 @t23)) % 0.46/0.64 (define @t162 () (forall @t26 (or (not @t24) @t161))) % 0.46/0.64 (define @t163 () (or @t10 @t90 @t89 @t162)) % 0.46/0.64 (define @t164 () (or @t104 @t90 @t89 @t100)) % 0.46/0.64 (define @t165 () (tptp.element @t135 (tptp.the_carrier @t116))) % 0.46/0.64 (define @t166 () (or @t144 @t143 @t141 @t139 @t165)) % 0.46/0.64 (define @t167 () (tptp.cast_to_el_of_LattPOSet @t116 @t135)) % 0.46/0.64 (define @t168 () (= @t135 @t167)) % 0.46/0.64 (define @t169 () (not @t165)) % 0.46/0.64 (define @t170 () (or @t144 @t143 @t141 @t169 @t168)) % 0.46/0.64 (define @t171 () (@var "BOUND_VARIABLE_8042" $$unsorted)) % 0.46/0.64 (define @t172 () (= (tptp.latt_element_smaller @t7 @t171 @t1) (tptp.relstr_set_smaller @t66 @t1 (tptp.cast_to_el_of_LattPOSet @t7 @t171)))) % 0.46/0.64 (define @t173 () (not (tptp.element @t171 @t68))) % 0.46/0.64 (define @t174 () (or @t173 @t172)) % 0.46/0.64 (define @t175 () (or @t73 @t111 @t110 @t174)) % 0.46/0.64 (define @t176 () (forall (@list @t1 @t7 @t171) @t175)) % 0.46/0.64 (define @t177 () (@list @t171)) % 0.46/0.64 (define @t178 () (forall @t177 @t175)) % 0.46/0.64 (define @t179 () (forall @t177 @t174)) % 0.46/0.64 (define @t180 () (or @t73 @t111 @t110 @t179)) % 0.46/0.64 (define @t181 () (forall @t53 (or (not @t69) @t67))) % 0.46/0.64 (define @t182 () (or @t73 @t111 @t110 @t181)) % 0.46/0.64 (define @t183 () (tptp.relstr_set_smaller @t132 @t134 @t167)) % 0.46/0.64 (define @t184 () (= @t136 @t183)) % 0.46/0.64 (define @t185 () (or @t144 @t143 @t141 @t169 @t184)) % 0.46/0.64 (define @t186 () (not @t184)) % 0.46/0.64 (define @t187 () (not @t136)) % 0.46/0.64 (define @t188 () (not @t183)) % 0.46/0.64 (define @t189 () (not @t168)) % 0.46/0.64 (define @t190 () (not @t148)) % 0.46/0.64 (define @t191 () (not @t137)) % 0.46/0.64 (define @t192 () (and @t191 @t148 @t168)) % 0.46/0.64 (define @t193 () (@list true false)) % 0.46/0.64 (define @t194 () (and @t137 @t148 @t168)) % 0.46/0.64 (assume @p1 (forall @t6 (=> @t5 (=> @t4 (= @t1 (tptp.rel_str_of @t3 @t2)))))) % 0.46/0.64 (assume @p2 (forall @t9 (=> @t8 (not (tptp.in @t7 @t1))))) % 0.46/0.64 (assume @p3 (forall @t6 (=> @t15 (=> @t14 @t12)))) % 0.46/0.64 (assume @p4 (forall @t19 (=> @t18 (tptp.relation @t16)))) % 0.46/0.64 (assume @p5 (forall @t6 (=> @t15 (=> @t12 @t14)))) % 0.46/0.64 (assume @p6 (forall @t6 (=> @t22 (= @t21 (tptp.rel_str_of @t3 @t20))))) % 0.46/0.64 (assume @p7 @t29) % 0.46/0.64 (assume @p8 @t36) % 0.46/0.64 (assume @p9 (forall @t9 (=> @t39 (and @t38 (tptp.rel_str @t37))))) % 0.46/0.64 (assume @p10 true) % 0.46/0.64 (assume @p11 (forall @t6 (=> @t22 (and (tptp.reflexive @t20) (tptp.antisymmetric @t20) (tptp.transitive @t20) (tptp.v1_partfun1 @t20 @t3 @t3) (tptp.relation_of2_as_subset @t20 @t3 @t3))))) % 0.46/0.64 (assume @p12 (forall @t6 (=> @t22 (and @t43 @t42 @t41 @t40 (tptp.rel_str @t21))))) % 0.46/0.64 (assume @p13 (forall @t9 (=> (and @t11 @t13 @t15 @t24) (tptp.element @t23 @t31)))) % 0.46/0.64 (assume @p14 @t46) % 0.46/0.64 (assume @p15 (forall @t6 (=> @t22 (tptp.relation @t47)))) % 0.46/0.64 (assume @p16 (forall @t6 (=> @t49 @t48))) % 0.46/0.64 (assume @p17 (forall @t6 (=> @t5 @t48))) % 0.46/0.64 (assume @p18 (forall @t6 (=> @t50 @t48))) % 0.46/0.64 (assume @p19 (forall @t6 (=> @t15 (and @t49 @t50)))) % 0.46/0.64 (assume @p20 (forall @t19 (=> @t51 @t18))) % 0.46/0.64 (assume @p21 (forall @t6 (=> @t5 (tptp.relation_of2_as_subset @t2 @t3 @t3)))) % 0.46/0.64 (assume @p22 (exists @t6 @t49)) % 0.46/0.64 (assume @p23 (exists @t6 @t5)) % 0.46/0.64 (assume @p24 (exists @t6 @t48)) % 0.46/0.64 (assume @p25 (exists @t6 @t50)) % 0.46/0.64 (assume @p26 (exists @t6 @t15)) % 0.46/0.64 (assume @p27 (forall @t9 (exists @t53 @t52))) % 0.46/0.64 (assume @p28 (forall @t6 (exists @t26 (tptp.element @t7 @t1)))) % 0.46/0.64 (assume @p29 (forall @t9 (exists @t53 @t51))) % 0.46/0.64 (assume @p30 (forall @t9 (=> (and @t55 @t39) (and (not (tptp.empty_carrier @t37)) @t38)))) % 0.46/0.64 (assume @p31 (forall @t6 (=> @t56 (not (tptp.empty @t3))))) % 0.46/0.64 (assume @p32 (forall @t6 (not (tptp.empty @t57)))) % 0.46/0.64 (assume @p33 (tptp.empty tptp.empty_set)) % 0.46/0.64 (assume @p34 (forall @t6 (=> (and @t60 @t59 @t58 @t5) (and (tptp.relation @t2) (tptp.reflexive @t2) (tptp.antisymmetric @t2) (tptp.transitive @t2) (tptp.v1_partfun1 @t2 @t3 @t3))))) % 0.46/0.64 (assume @p35 (forall @t9 (=> (and (tptp.reflexive @t7) (tptp.antisymmetric @t7) (tptp.transitive @t7) (tptp.v1_partfun1 @t7 @t1 @t1) @t39) (and @t38 (tptp.reflexive_relstr @t37) (tptp.transitive_relstr @t37) (tptp.antisymmetric_relstr @t37))))) % 0.46/0.64 (assume @p36 (forall @t6 (=> @t22 (and (not (tptp.empty_carrier @t21)) @t43 @t42 @t41 @t40)))) % 0.46/0.64 (assume @p37 (forall @t9 (=> (and @t55 @t62) (not (tptp.empty @t17))))) % 0.46/0.64 (assume @p38 (forall @t9 (=> @t39 (forall (@list @t16 @t63) (=> (= @t37 (tptp.rel_str_of @t16 @t63)) (and (= @t1 @t16) (= @t7 @t63))))))) % 0.46/0.64 (assume @p39 (exists @t6 (and @t5 @t4))) % 0.46/0.64 (assume @p40 (forall @t6 (=> @t55 (exists @t26 (and @t64 @t62))))) % 0.46/0.64 (assume @p41 (exists @t6 @t54)) % 0.46/0.64 (assume @p42 (exists @t6 (and @t5 @t11 @t4 @t60 @t59 @t58))) % 0.46/0.64 (assume @p43 (forall @t6 (exists @t26 (and @t64 @t61)))) % 0.46/0.64 (assume @p44 (exists @t6 @t55)) % 0.46/0.64 (assume @p45 (exists @t6 (and @t48 @t11))) % 0.46/0.64 (assume @p46 (forall @t6 (=> @t56 (exists @t26 (and (tptp.element @t7 (tptp.powerset @t3)) @t62))))) % 0.46/0.64 (assume @p47 (forall @t6 (=> @t22 (= @t20 @t47)))) % 0.46/0.64 (assume @p48 (forall @t19 (= @t51 @t52))) % 0.46/0.64 (assume @p49 (forall @t9 (tptp.subset @t1 @t1))) % 0.46/0.64 (assume @p50 (forall @t9 (=> @t8 @t65))) % 0.46/0.64 (assume @p51 (forall @t9 (=> @t65 (or @t61 @t8)))) % 0.46/0.64 (assume @p52 @t77) % 0.46/0.64 (assume @p53 @t84) % 0.46/0.64 (assume @p54 (forall @t9 (= (tptp.element @t1 (tptp.powerset @t7)) (tptp.subset @t1 @t7)))) % 0.46/0.64 (assume @p55 (forall @t19 (=> (and @t8 @t85) (tptp.element @t1 @t16)))) % 0.46/0.64 (assume @p56 (forall @t19 (not (and @t8 @t85 (tptp.empty @t16))))) % 0.46/0.64 (assume @p57 (forall @t6 (=> @t54 (= @t1 tptp.empty_set)))) % 0.46/0.64 (assume @p58 (forall @t9 (not (and @t8 @t61)))) % 0.46/0.64 (assume @p59 (forall @t9 (not (and @t54 (not (= @t1 @t7)) @t61)))) % 0.46/0.64 (step @p60 :rule aci_norm :args ((= @t92 (or @t10 @t90 @t89 @t88 @t87)))) % 0.46/0.64 (step @p61 :rule cong :premises (@p60) :args (@t93)) % 0.46/0.64 (step @p62 :rule quant-merge-prenex :args ((= (forall @t6 @t95) @t93))) % 0.46/0.64 (step @p63 :rule alpha_equiv :args (@t96 (@list @t86) @t97)) % 0.46/0.64 (step @p64 :rule refl :args (@t89)) % 0.46/0.64 (step @p65 :rule refl :args (@t90)) % 0.46/0.64 (step @p66 :rule refl :args (@t10)) % 0.46/0.64 (step @p67 :rule nary_cong :premises (@p66 @p65 @p64 @p63) :args (@t98)) % 0.46/0.64 (step @p68 :rule quant-miniscope-or :args ((= @t95 @t98))) % 0.46/0.64 (step @p69 :rule trans :premises (@p68 @p67)) % 0.46/0.64 (step @p70 :rule symm :premises (@p69)) % 0.46/0.64 (step @p71 :rule cong :premises (@p70) :args ((forall @t6 @t102))) % 0.46/0.64 (step @p72 :rule trans :premises (@p71 @p62)) % 0.46/0.64 (step @p73 :rule trans :premises (@p72 @p61)) % 0.46/0.64 (step @p74 :rule aci_norm :args ((= (or @t103 @t101) @t102))) % 0.46/0.64 (step @p75 :rule refl :args (@t101)) % 0.46/0.64 (step @p76 :rule bool-double-not-elim :args (@t10)) % 0.46/0.64 (step @p77 :rule nary_cong :premises (@p76 @p65 @p64) :args (@t105)) % 0.46/0.64 (step @p78 :rule aci_norm :args ((= (or @t104 (or @t90 @t89)) @t105))) % 0.46/0.64 (step @p79 :rule trans :premises (@p78 @p77)) % 0.46/0.64 (step @p80 :rule bool-and-de-morgan :args (@t13 @t15 true)) % 0.46/0.64 (step @p81 :rule refl :args (@t104)) % 0.46/0.64 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t104 (not (and @t13 @t15))))) % 0.46/0.64 (step @p83 :rule bool-and-de-morgan :args (@t11 @t13 (and @t15))) % 0.46/0.64 (step @p84 :rule trans :premises (@p83 @p82)) % 0.46/0.64 (step @p85 :rule trans :premises (@p84 @p79)) % 0.46/0.64 (step @p86 :rule nary_cong :premises (@p85 @p75) :args ((or @t106 @t101))) % 0.46/0.64 (step @p87 :rule trans :premises (@p86 @p74)) % 0.46/0.64 (step @p88 :rule bool-impl-elim :args (@t22 @t101)) % 0.46/0.64 (step @p89 :rule trans :premises (@p88 @p87)) % 0.46/0.64 (step @p90 :rule cong :premises (@p89) :args ((forall @t6 (=> @t22 @t101)))) % 0.46/0.64 (step @p91 :rule trans :premises (@p90 @p73)) % 0.46/0.64 (step @p92 :rule bool-impl-elim :args (@t32 @t99)) % 0.46/0.64 (step @p93 :rule cong :premises (@p92) :args ((forall @t26 (=> @t32 @t99)))) % 0.46/0.64 (step @p94 :rule eq-symm :args (@t30 @t7)) % 0.46/0.64 (step @p95 :rule refl :args (@t32)) % 0.46/0.64 (step @p96 :rule cong :premises (@p95 @p94) :args (@t33)) % 0.46/0.64 (step @p97 :rule cong :premises (@p96) :args (@t34)) % 0.46/0.64 (step @p98 :rule trans :premises (@p97 @p93)) % 0.46/0.64 (step @p99 :rule refl :args (@t22)) % 0.46/0.64 (step @p100 :rule cong :premises (@p99 @p98) :args (@t35)) % 0.46/0.64 (step @p101 :rule cong :premises (@p100) :args (@t36)) % 0.46/0.64 (step @p102 :rule trans :premises (@p101 @p91)) % 0.46/0.64 (step @p103 :rule eq_resolve :premises (@p8 @p102)) % 0.46/0.64 (step @p104 :rule instantiate :premises (@p103) :args (@t117)) % 0.46/0.64 (step @p105 :rule aci_norm :args ((= @t119 @t112))) % 0.46/0.64 (step @p106 :rule cong :premises (@p105) :args (@t120)) % 0.46/0.64 (step @p107 :rule quant-merge-prenex :args ((= (forall @t9 @t122) @t120))) % 0.46/0.64 (step @p108 :rule alpha_equiv :args (@t123 (@list @t107) @t124)) % 0.46/0.64 (step @p109 :rule refl :args (@t110)) % 0.46/0.64 (step @p110 :rule refl :args (@t111)) % 0.46/0.64 (step @p111 :rule refl :args (@t73)) % 0.46/0.64 (step @p112 :rule nary_cong :premises (@p111 @p110 @p109 @p108) :args (@t125)) % 0.46/0.64 (step @p113 :rule quant-miniscope-or :args ((= @t122 @t125))) % 0.46/0.64 (step @p114 :rule trans :premises (@p113 @p112)) % 0.46/0.64 (step @p115 :rule symm :premises (@p114)) % 0.46/0.64 (step @p116 :rule cong :premises (@p115) :args ((forall @t9 @t127))) % 0.46/0.64 (step @p117 :rule trans :premises (@p116 @p107)) % 0.46/0.64 (step @p118 :rule trans :premises (@p117 @p106)) % 0.46/0.64 (step @p119 :rule aci_norm :args ((= (or @t128 @t126) @t127))) % 0.46/0.64 (step @p120 :rule refl :args (@t126)) % 0.46/0.64 (step @p121 :rule bool-double-not-elim :args (@t73)) % 0.46/0.64 (step @p122 :rule nary_cong :premises (@p121 @p110 @p109) :args (@t130)) % 0.46/0.64 (step @p123 :rule aci_norm :args ((= (or @t129 (or @t111 @t110)) @t130))) % 0.46/0.64 (step @p124 :rule trans :premises (@p123 @p122)) % 0.46/0.64 (step @p125 :rule bool-and-de-morgan :args (@t72 @t71 true)) % 0.46/0.64 (step @p126 :rule refl :args (@t129)) % 0.46/0.64 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t129 (not (and @t72 @t71))))) % 0.46/0.64 (step @p128 :rule bool-and-de-morgan :args (@t74 @t72 (and @t71))) % 0.46/0.64 (step @p129 :rule trans :premises (@p128 @p127)) % 0.46/0.64 (step @p130 :rule trans :premises (@p129 @p124)) % 0.46/0.64 (step @p131 :rule nary_cong :premises (@p130 @p120) :args ((or @t131 @t126))) % 0.46/0.64 (step @p132 :rule trans :premises (@p131 @p119)) % 0.46/0.64 (step @p133 :rule bool-impl-elim :args (@t75 @t126)) % 0.46/0.64 (step @p134 :rule trans :premises (@p133 @p132)) % 0.46/0.64 (step @p135 :rule cong :premises (@p134) :args ((forall @t9 (=> @t75 @t126)))) % 0.46/0.64 (step @p136 :rule trans :premises (@p135 @p118)) % 0.46/0.64 (step @p137 :rule bool-impl-elim :args (@t80 @t78)) % 0.46/0.64 (step @p138 :rule cong :premises (@p137) :args (@t81)) % 0.46/0.64 (step @p139 :rule refl :args (@t75)) % 0.46/0.64 (step @p140 :rule cong :premises (@p139 @p138) :args (@t82)) % 0.46/0.64 (step @p141 :rule cong :premises (@p140) :args (@t83)) % 0.46/0.64 (step @p142 :rule trans :premises (@p141 @p136)) % 0.46/0.64 (step @p143 :rule cong :premises (@p142) :args (@t84)) % 0.46/0.64 (step @p144 :rule eq_resolve :premises (@p53 @p143)) % 0.46/0.64 (step @p145 :rule skolemize :premises (@p144)) % 0.46/0.64 (step @p146 :rule bool-double-not-elim :args (@t133)) % 0.46/0.64 (step @p147 :rule refl :args (@t145)) % 0.46/0.64 (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or @t145 (not @t139)))) % 0.46/0.64 (step @p149 :rule cnf_or_neg :args (@t145 3)) % 0.46/0.64 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 0.46/0.64 (step @p151 :rule reordering :premises (@p150) :args ((or @t133 @t145))) % 0.46/0.64 (step @p152 :rule chain_m_resolution :premises (@p151 @p145) :args (@t133 @t146 @t147)) % 0.46/0.64 (step @p153 :rule bool-double-not-elim :args (@t140)) % 0.46/0.64 (step @p154 :rule nary_cong :premises (@p147 @p153) :args ((or @t145 (not @t141)))) % 0.46/0.64 (step @p155 :rule cnf_or_neg :args (@t145 2)) % 0.46/0.64 (step @p156 :rule eq_resolve :premises (@p155 @p154)) % 0.46/0.64 (step @p157 :rule reordering :premises (@p156) :args ((or @t140 @t145))) % 0.46/0.64 (step @p158 :rule chain_m_resolution :premises (@p157 @p145) :args (@t140 @t146 @t147)) % 0.46/0.64 (step @p159 :rule bool-double-not-elim :args (@t142)) % 0.46/0.64 (step @p160 :rule nary_cong :premises (@p147 @p159) :args ((or @t145 (not @t143)))) % 0.46/0.64 (step @p161 :rule cnf_or_neg :args (@t145 1)) % 0.46/0.64 (step @p162 :rule eq_resolve :premises (@p161 @p160)) % 0.46/0.64 (step @p163 :rule reordering :premises (@p162) :args ((or @t142 @t145))) % 0.46/0.64 (step @p164 :rule chain_m_resolution :premises (@p163 @p145) :args (@t142 @t146 @t147)) % 0.46/0.64 (step @p165 :rule cnf_or_neg :args (@t145 0)) % 0.46/0.64 (step @p166 :rule chain_m_resolution :premises (@p165 @p145) :args ((not @t144) @t146 @t147)) % 0.46/0.64 (step @p167 :rule cnf_or_pos :args (@t149)) % 0.46/0.64 (step @p168 :rule reordering :premises (@p167) :args ((or @t144 @t143 @t141 @t139 @t148 (not @t149)))) % 0.46/0.64 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p164 @p158 @p152 @p104) :args (@t148 @t150 (@list @t144 @t142 @t140 @t133 @t149))) % 0.46/0.64 (step @p170 :rule aci_norm :args ((= @t155 (or @t10 @t90 @t89 @t153 @t152)))) % 0.46/0.64 (step @p171 :rule cong :premises (@p170) :args (@t156)) % 0.46/0.64 (step @p172 :rule quant-merge-prenex :args ((= (forall @t6 @t158) @t156))) % 0.46/0.64 (step @p173 :rule alpha_equiv :args (@t159 (@list @t151) @t97)) % 0.46/0.64 (step @p174 :rule nary_cong :premises (@p66 @p65 @p64 @p173) :args (@t160)) % 0.46/0.64 (step @p175 :rule quant-miniscope-or :args ((= @t158 @t160))) % 0.46/0.64 (step @p176 :rule trans :premises (@p175 @p174)) % 0.46/0.64 (step @p177 :rule symm :premises (@p176)) % 0.46/0.64 (step @p178 :rule cong :premises (@p177) :args ((forall @t6 @t163))) % 0.46/0.64 (step @p179 :rule trans :premises (@p178 @p172)) % 0.46/0.64 (step @p180 :rule trans :premises (@p179 @p171)) % 0.46/0.64 (step @p181 :rule aci_norm :args ((= (or @t103 @t162) @t163))) % 0.46/0.64 (step @p182 :rule refl :args (@t162)) % 0.46/0.64 (step @p183 :rule nary_cong :premises (@p85 @p182) :args ((or @t106 @t162))) % 0.46/0.64 (step @p184 :rule trans :premises (@p183 @p181)) % 0.46/0.64 (step @p185 :rule bool-impl-elim :args (@t22 @t162)) % 0.46/0.64 (step @p186 :rule trans :premises (@p185 @p184)) % 0.46/0.64 (step @p187 :rule cong :premises (@p186) :args ((forall @t6 (=> @t22 @t162)))) % 0.46/0.64 (step @p188 :rule trans :premises (@p187 @p180)) % 0.46/0.64 (step @p189 :rule bool-impl-elim :args (@t24 @t161)) % 0.46/0.64 (step @p190 :rule cong :premises (@p189) :args ((forall @t26 (=> @t24 @t161)))) % 0.46/0.64 (step @p191 :rule eq-symm :args (@t23 @t7)) % 0.46/0.64 (step @p192 :rule refl :args (@t24)) % 0.46/0.64 (step @p193 :rule cong :premises (@p192 @p191) :args (@t25)) % 0.46/0.64 (step @p194 :rule cong :premises (@p193) :args (@t27)) % 0.46/0.64 (step @p195 :rule trans :premises (@p194 @p190)) % 0.46/0.64 (step @p196 :rule cong :premises (@p99 @p195) :args (@t28)) % 0.46/0.64 (step @p197 :rule cong :premises (@p196) :args (@t29)) % 0.46/0.64 (step @p198 :rule trans :premises (@p197 @p188)) % 0.46/0.64 (step @p199 :rule eq_resolve :premises (@p7 @p198)) % 0.46/0.64 (step @p200 :rule instantiate :premises (@p199) :args ((@list @t116 @t135))) % 0.46/0.64 (step @p201 :rule aci_norm :args ((= (or (or @t10 @t90 @t89 @t100) @t44) (or @t10 @t90 @t89 @t100 @t44)))) % 0.46/0.64 (step @p202 :rule refl :args (@t44)) % 0.46/0.64 (step @p203 :rule refl :args (@t100)) % 0.46/0.64 (step @p204 :rule nary_cong :premises (@p76 @p65 @p64 @p203) :args (@t164)) % 0.46/0.64 (step @p205 :rule aci_norm :args ((= (or @t104 (or @t90 (or @t89 @t100))) @t164))) % 0.46/0.64 (step @p206 :rule trans :premises (@p205 @p204)) % 0.46/0.64 (step @p207 :rule bool-and-de-morgan :args (@t15 @t32 true)) % 0.46/0.64 (step @p208 :rule nary_cong :premises (@p65 @p207) :args ((or @t90 (not (and @t15 @t32))))) % 0.46/0.64 (step @p209 :rule bool-and-de-morgan :args (@t13 @t15 (and @t32))) % 0.46/0.64 (step @p210 :rule trans :premises (@p209 @p208)) % 0.46/0.64 (step @p211 :rule nary_cong :premises (@p81 @p210) :args ((or @t104 (not (and @t13 @t15 @t32))))) % 0.46/0.64 (step @p212 :rule bool-and-de-morgan :args (@t11 @t13 (and @t15 @t32))) % 0.46/0.64 (step @p213 :rule trans :premises (@p212 @p211)) % 0.46/0.64 (step @p214 :rule trans :premises (@p213 @p206)) % 0.46/0.64 (step @p215 :rule nary_cong :premises (@p214 @p202) :args ((or (not @t45) @t44))) % 0.46/0.64 (step @p216 :rule trans :premises (@p215 @p201)) % 0.46/0.64 (step @p217 :rule bool-impl-elim :args (@t45 @t44)) % 0.46/0.64 (step @p218 :rule trans :premises (@p217 @p216)) % 0.46/0.64 (step @p219 :rule cong :premises (@p218) :args (@t46)) % 0.46/0.64 (step @p220 :rule eq_resolve :premises (@p14 @p219)) % 0.46/0.64 (step @p221 :rule instantiate :premises (@p220) :args (@t117)) % 0.46/0.64 (step @p222 :rule cnf_or_pos :args (@t166)) % 0.46/0.64 (step @p223 :rule reordering :premises (@p222) :args ((or @t144 @t143 @t141 @t139 @t165 (not @t166)))) % 0.46/0.64 (step @p224 :rule chain_m_resolution :premises (@p223 @p166 @p164 @p158 @p152 @p221) :args (@t165 @t150 (@list @t144 @t142 @t140 @t133 @t166))) % 0.46/0.64 (step @p225 :rule cnf_or_pos :args (@t170)) % 0.46/0.64 (step @p226 :rule reordering :premises (@p225) :args ((or @t144 @t143 @t141 @t169 @t168 (not @t170)))) % 0.46/0.64 (step @p227 :rule chain_m_resolution :premises (@p226 @p166 @p164 @p158 @p224 @p200) :args (@t168 @t150 (@list @t144 @t142 @t140 @t165 @t170))) % 0.46/0.64 (step @p228 :rule cnf_or_neg :args (@t145 4)) % 0.46/0.64 (step @p229 :rule chain_m_resolution :premises (@p228 @p145) :args ((not @t138) @t146 @t147)) % 0.46/0.64 (step @p230 :rule cnf_equiv_neg1 :args (@t138)) % 0.46/0.64 (step @p231 :rule reordering :premises (@p230) :args ((or @t137 @t136 @t138))) % 0.46/0.64 (step @p232 :rule aci_norm :args ((= @t175 (or @t73 @t111 @t110 @t173 @t172)))) % 0.46/0.64 (step @p233 :rule cong :premises (@p232) :args (@t176)) % 0.46/0.64 (step @p234 :rule quant-merge-prenex :args ((= (forall @t9 @t178) @t176))) % 0.46/0.64 (step @p235 :rule alpha_equiv :args (@t179 (@list @t171) @t124)) % 0.46/0.64 (step @p236 :rule nary_cong :premises (@p111 @p110 @p109 @p235) :args (@t180)) % 0.46/0.64 (step @p237 :rule quant-miniscope-or :args ((= @t178 @t180))) % 0.46/0.64 (step @p238 :rule trans :premises (@p237 @p236)) % 0.46/0.64 (step @p239 :rule symm :premises (@p238)) % 0.46/0.64 (step @p240 :rule cong :premises (@p239) :args ((forall @t9 @t182))) % 0.46/0.64 (step @p241 :rule trans :premises (@p240 @p234)) % 0.46/0.64 (step @p242 :rule trans :premises (@p241 @p233)) % 0.46/0.64 (step @p243 :rule aci_norm :args ((= (or @t128 @t181) @t182))) % 0.46/0.64 (step @p244 :rule refl :args (@t181)) % 0.46/0.64 (step @p245 :rule nary_cong :premises (@p130 @p244) :args ((or @t131 @t181))) % 0.46/0.64 (step @p246 :rule trans :premises (@p245 @p243)) % 0.46/0.64 (step @p247 :rule bool-impl-elim :args (@t75 @t181)) % 0.46/0.64 (step @p248 :rule trans :premises (@p247 @p246)) % 0.46/0.64 (step @p249 :rule cong :premises (@p248) :args ((forall @t9 (=> @t75 @t181)))) % 0.46/0.64 (step @p250 :rule trans :premises (@p249 @p242)) % 0.46/0.64 (step @p251 :rule bool-impl-elim :args (@t69 @t67)) % 0.46/0.64 (step @p252 :rule cong :premises (@p251) :args (@t70)) % 0.46/0.64 (step @p253 :rule cong :premises (@p139 @p252) :args (@t76)) % 0.46/0.64 (step @p254 :rule cong :premises (@p253) :args (@t77)) % 0.46/0.64 (step @p255 :rule trans :premises (@p254 @p250)) % 0.46/0.64 (step @p256 :rule eq_resolve :premises (@p52 @p255)) % 0.46/0.64 (step @p257 :rule instantiate :premises (@p256) :args ((@list @t134 @t116 @t135))) % 0.46/0.64 (step @p258 :rule cnf_or_pos :args (@t185)) % 0.46/0.64 (step @p259 :rule reordering :premises (@p258) :args ((or @t144 @t143 @t141 @t169 @t184 (not @t185)))) % 0.46/0.64 (step @p260 :rule chain_m_resolution :premises (@p259 @p166 @p164 @p158 @p224 @p257) :args (@t184 @t150 (@list @t144 @t142 @t140 @t165 @t185))) % 0.46/0.64 (step @p261 :rule cnf_equiv_pos1 :args (@t184)) % 0.46/0.64 (step @p262 :rule reordering :premises (@p261) :args ((or @t187 @t183 @t186))) % 0.46/0.64 (step @p263 :rule refl :args (@t188)) % 0.46/0.64 (step @p264 :rule refl :args (@t189)) % 0.46/0.64 (step @p265 :rule refl :args (@t190)) % 0.46/0.64 (step @p266 :rule bool-double-not-elim :args (@t137)) % 0.46/0.64 (step @p267 :rule nary_cong :premises (@p266 @p265 @p264 @p263) :args ((or (not @t191) @t190 @t189 @t188))) % 0.46/0.64 (assume-push @p328 @t191) % 0.46/0.64 (assume-push @p329 @t148) % 0.46/0.64 (assume-push @p330 @t168) % 0.46/0.64 (assume-push @p331 @t191) % 0.46/0.64 (assume-push @p332 @t148) % 0.46/0.64 (assume-push @p333 @t168) % 0.46/0.64 (step @p274 :rule false_intro :premises (@p328)) % 0.46/0.64 (step @p275 :rule symm :premises (@p169)) % 0.46/0.64 (step @p276 :rule symm :premises (@p227)) % 0.46/0.64 (step @p277 :rule trans :premises (@p276 @p275)) % 0.46/0.64 (step @p278 :rule refl :args (@t134)) % 0.46/0.64 (step @p279 :rule refl :args (@t132)) % 0.46/0.64 (step @p280 :rule cong :premises (@p279 @p278 @p277) :args (@t183)) % 0.46/0.64 (step @p281 :rule trans :premises (@p280 @p274)) % 0.46/0.64 (step @p282 :rule false_elim :premises (@p281)) % 0.46/0.64 (step-pop @p334 :rule scope :premises (@p282)) % 0.46/0.64 (step-pop @p335 :rule scope :premises (@p334)) % 0.46/0.64 (step-pop @p336 :rule scope :premises (@p335)) % 0.46/0.64 (step @p283 :rule process_scope :premises (@p336) :args (@t188)) % 0.46/0.64 (step @p287 :rule and_intro :premises (@p328 @p169 @p227)) % 0.46/0.64 (step @p288 :rule modus_ponens :premises (@p287 @p283)) % 0.46/0.64 (step-pop @p337 :rule scope :premises (@p288)) % 0.46/0.64 (step-pop @p338 :rule scope :premises (@p337)) % 0.46/0.64 (step-pop @p339 :rule scope :premises (@p338)) % 0.46/0.64 (step @p289 :rule process_scope :premises (@p339) :args (@t188)) % 0.46/0.64 (step @p293 :rule implies_elim :premises (@p289)) % 0.46/0.64 (step @p294 :rule cnf_and_neg :args (@t192)) % 0.46/0.64 (step @p295 :rule resolution :premises (@p294 @p293) :args (true @t192)) % 0.46/0.64 (step @p296 :rule eq_resolve :premises (@p295 @p267)) % 0.46/0.64 (step @p297 :rule reordering :premises (@p296) :args ((or @t137 @t190 @t188 @t189))) % 0.46/0.64 (step @p298 :rule chain_m_resolution :premises (@p297 @p227 @p169 @p262 @p260 @p231 @p229) :args (@t137 (@list false false false false false true) (@list @t168 @t148 @t183 @t184 @t136 @t138))) % 0.46/0.64 (step @p299 :rule cnf_equiv_neg2 :args (@t138)) % 0.46/0.64 (step @p300 :rule chain_m_resolution :premises (@p299 @p229 @p298) :args (@t187 @t193 (@list @t138 @t137))) % 0.46/0.64 (step @p301 :rule cnf_equiv_pos2 :args (@t184)) % 0.46/0.64 (step @p302 :rule reordering :premises (@p301) :args ((or @t136 @t188 @t186))) % 0.46/0.64 (step @p303 :rule chain_m_resolution :premises (@p302 @p300 @p260) :args (@t188 @t193 (@list @t136 @t184))) % 0.46/0.64 (assume-push @p340 @t137) % 0.46/0.64 (assume-push @p341 @t148) % 0.46/0.64 (assume-push @p342 @t168) % 0.46/0.64 (assume-push @p343 @t137) % 0.46/0.64 (assume-push @p344 @t148) % 0.46/0.64 (assume-push @p345 @t168) % 0.46/0.64 (step @p310 :rule true_intro :premises (@p340)) % 0.46/0.64 (step @p275 :rule symm :premises (@p169)) % 0.46/0.64 (step @p276 :rule symm :premises (@p227)) % 0.46/0.64 (step @p277 :rule trans :premises (@p276 @p275)) % 0.46/0.64 (step @p278 :rule refl :args (@t134)) % 0.46/0.64 (step @p279 :rule refl :args (@t132)) % 0.46/0.64 (step @p280 :rule cong :premises (@p279 @p278 @p277) :args (@t183)) % 0.46/0.64 (step @p311 :rule trans :premises (@p280 @p310)) % 0.46/0.64 (step @p312 :rule true_elim :premises (@p311)) % 0.46/0.64 (step-pop @p346 :rule scope :premises (@p312)) % 0.46/0.64 (step-pop @p347 :rule scope :premises (@p346)) % 0.46/0.64 (step-pop @p348 :rule scope :premises (@p347)) % 0.46/0.64 (step @p313 :rule process_scope :premises (@p348) :args (@t183)) % 0.46/0.64 (step @p317 :rule and_intro :premises (@p340 @p169 @p227)) % 0.46/0.64 (step @p318 :rule modus_ponens :premises (@p317 @p313)) % 0.46/0.64 (step-pop @p349 :rule scope :premises (@p318)) % 0.46/0.64 (step-pop @p350 :rule scope :premises (@p349)) % 0.46/0.64 (step-pop @p351 :rule scope :premises (@p350)) % 0.46/0.64 (step @p319 :rule process_scope :premises (@p351) :args (@t183)) % 0.46/0.64 (step @p323 :rule implies_elim :premises (@p319)) % 0.46/0.64 (step @p324 :rule cnf_and_neg :args (@t194)) % 0.46/0.64 (step @p325 :rule resolution :premises (@p324 @p323) :args (true @t194)) % 0.46/0.64 (step @p326 :rule reordering :premises (@p325) :args ((or @t191 @t183 @t190 @t189))) % 0.46/0.64 (step @p327 false :rule chain_m_resolution :premises (@p326 @p303 @p298 @p227 @p169) :args (false (@list true false false false) (@list @t183 @t137 @t168 @t148))) % 0.46/0.64 ) % 0.46/0.64 % SZS output end Proof % 0.46/0.64 % cvc5 exiting %------------------------------------------------------------------------------