%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWB022+2 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:57:11 AM UTC 2026 % Result : Theorem 1.00s 1.24s % Output : Proof 1.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB022+2 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n011.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 18:54:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.00/1.24 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.00/1.24 % SZS status Theorem % 1.00/1.24 % SZS output start Proof % 1.00/1.24 ( % 1.00/1.24 (declare-sort $$unsorted 0) % 1.00/1.24 (declare-const tptp.uri_rdf_type $$unsorted) % 1.00/1.24 (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.00/1.24 (declare-const tptp.ip (-> $$unsorted Bool)) % 1.00/1.24 (declare-const tptp.uri_rdf_rest $$unsorted) % 1.00/1.24 (declare-const tptp.uri_skos_OrderedCollection $$unsorted) % 1.00/1.24 (declare-const tptp.uri_rdfs_subPropertyOf $$unsorted) % 1.00/1.24 (declare-const tptp.uri_skos_memberList $$unsorted) % 1.00/1.24 (declare-const tptp.uri_rdf_first $$unsorted) % 1.00/1.24 (declare-const tptp.uri_ex_Z $$unsorted) % 1.00/1.24 (declare-const tptp.uri_owl_propertyChainAxiom $$unsorted) % 1.00/1.24 (declare-const tptp.uri_ex_MyOrderedCollection $$unsorted) % 1.00/1.24 (declare-const tptp.uri_rdf_nil $$unsorted) % 1.00/1.24 (declare-const tptp.uri_skos_member $$unsorted) % 1.00/1.24 (declare-const tptp.uri_ex_Y $$unsorted) % 1.00/1.24 (declare-const tptp.uri_ex_X $$unsorted) % 1.00/1.24 (define @t1 () (@var "Y" $$unsorted)) % 1.00/1.24 (define @t2 () (@var "X" $$unsorted)) % 1.00/1.24 (define @t3 () (@var "Q" $$unsorted)) % 1.00/1.24 (define @t4 () (tptp.iext @t3 @t2 @t1)) % 1.00/1.24 (define @t5 () (@var "P" $$unsorted)) % 1.00/1.24 (define @t6 () (tptp.iext @t5 @t2 @t1)) % 1.00/1.24 (define @t7 () (@list @t2 @t1)) % 1.00/1.24 (define @t8 () (forall @t7 (=> @t6 @t4))) % 1.00/1.24 (define @t9 () (tptp.ip @t3)) % 1.00/1.24 (define @t10 () (tptp.ip @t5)) % 1.00/1.24 (define @t11 () (and @t10 @t9 @t8)) % 1.00/1.24 (define @t12 () (tptp.iext tptp.uri_rdfs_subPropertyOf @t5 @t3)) % 1.00/1.24 (define @t13 () (=> @t12 @t11)) % 1.00/1.24 (define @t14 () (@list @t5 @t3)) % 1.00/1.24 (define @t15 () (forall @t14 @t13)) % 1.00/1.24 (define @t16 () (@var "Y2" $$unsorted)) % 1.00/1.24 (define @t17 () (@var "Y0" $$unsorted)) % 1.00/1.24 (define @t18 () (tptp.iext @t5 @t17 @t16)) % 1.00/1.24 (define @t19 () (@var "Y1" $$unsorted)) % 1.00/1.24 (define @t20 () (@var "P2" $$unsorted)) % 1.00/1.24 (define @t21 () (tptp.iext @t20 @t19 @t16)) % 1.00/1.24 (define @t22 () (@var "P1" $$unsorted)) % 1.00/1.24 (define @t23 () (tptp.iext @t22 @t17 @t19)) % 1.00/1.24 (define @t24 () (and @t23 @t21)) % 1.00/1.24 (define @t25 () (@list @t17 @t19 @t16)) % 1.00/1.24 (define @t26 () (forall @t25 (=> @t24 @t18))) % 1.00/1.24 (define @t27 () (tptp.ip @t20)) % 1.00/1.24 (define @t28 () (tptp.ip @t22)) % 1.00/1.24 (define @t29 () (and @t10 @t28 @t27 @t26)) % 1.00/1.24 (define @t30 () (@var "S1" $$unsorted)) % 1.00/1.24 (define @t31 () (tptp.iext tptp.uri_owl_propertyChainAxiom @t5 @t30)) % 1.00/1.24 (define @t32 () (= @t31 @t29)) % 1.00/1.24 (define @t33 () (@var "S2" $$unsorted)) % 1.00/1.24 (define @t34 () (tptp.iext tptp.uri_rdf_rest @t33 tptp.uri_rdf_nil)) % 1.00/1.24 (define @t35 () (tptp.iext tptp.uri_rdf_first @t33 @t20)) % 1.00/1.24 (define @t36 () (tptp.iext tptp.uri_rdf_rest @t30 @t33)) % 1.00/1.24 (define @t37 () (tptp.iext tptp.uri_rdf_first @t30 @t22)) % 1.00/1.24 (define @t38 () (and @t37 @t36 @t35 @t34)) % 1.00/1.24 (define @t39 () (=> @t38 @t32)) % 1.00/1.24 (define @t40 () (@list @t5 @t30 @t22 @t33 @t20)) % 1.00/1.24 (define @t41 () (forall @t40 @t39)) % 1.00/1.24 (define @t42 () (tptp.iext tptp.uri_skos_member tptp.uri_ex_MyOrderedCollection tptp.uri_ex_Z)) % 1.00/1.24 (define @t43 () (tptp.iext tptp.uri_skos_member tptp.uri_ex_MyOrderedCollection tptp.uri_ex_Y)) % 1.00/1.24 (define @t44 () (tptp.iext tptp.uri_skos_member tptp.uri_ex_MyOrderedCollection tptp.uri_ex_X)) % 1.00/1.24 (define @t45 () (@var "BNODE_l33" $$unsorted)) % 1.00/1.24 (define @t46 () (tptp.iext tptp.uri_rdf_rest @t45 tptp.uri_rdf_nil)) % 1.00/1.24 (define @t47 () (tptp.iext tptp.uri_rdf_first @t45 tptp.uri_ex_Z)) % 1.00/1.24 (define @t48 () (@var "BNODE_l32" $$unsorted)) % 1.00/1.24 (define @t49 () (tptp.iext tptp.uri_rdf_rest @t48 @t45)) % 1.00/1.24 (define @t50 () (tptp.iext tptp.uri_rdf_first @t48 tptp.uri_ex_Y)) % 1.00/1.24 (define @t51 () (@var "BNODE_l31" $$unsorted)) % 1.00/1.24 (define @t52 () (tptp.iext tptp.uri_rdf_rest @t51 @t48)) % 1.00/1.24 (define @t53 () (tptp.iext tptp.uri_rdf_first @t51 tptp.uri_ex_X)) % 1.00/1.24 (define @t54 () (tptp.iext tptp.uri_skos_memberList tptp.uri_ex_MyOrderedCollection @t51)) % 1.00/1.24 (define @t55 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_MyOrderedCollection tptp.uri_skos_OrderedCollection)) % 1.00/1.24 (define @t56 () (@var "BNODE_l22" $$unsorted)) % 1.00/1.24 (define @t57 () (tptp.iext tptp.uri_rdf_rest @t56 tptp.uri_rdf_nil)) % 1.00/1.24 (define @t58 () (tptp.iext tptp.uri_rdf_first @t56 tptp.uri_rdf_rest)) % 1.00/1.24 (define @t59 () (@var "BNODE_l21" $$unsorted)) % 1.00/1.24 (define @t60 () (tptp.iext tptp.uri_rdf_rest @t59 @t56)) % 1.00/1.24 (define @t61 () (@var "BNODE_pL" $$unsorted)) % 1.00/1.24 (define @t62 () (tptp.iext tptp.uri_rdf_first @t59 @t61)) % 1.00/1.24 (define @t63 () (tptp.iext tptp.uri_owl_propertyChainAxiom @t61 @t59)) % 1.00/1.24 (define @t64 () (@var "BNODE_l12" $$unsorted)) % 1.00/1.24 (define @t65 () (tptp.iext tptp.uri_rdf_rest @t64 tptp.uri_rdf_nil)) % 1.00/1.24 (define @t66 () (tptp.iext tptp.uri_rdf_first @t64 tptp.uri_rdf_first)) % 1.00/1.24 (define @t67 () (@var "BNODE_l11" $$unsorted)) % 1.00/1.24 (define @t68 () (tptp.iext tptp.uri_rdf_rest @t67 @t64)) % 1.00/1.24 (define @t69 () (tptp.iext tptp.uri_rdf_first @t67 @t61)) % 1.00/1.24 (define @t70 () (tptp.iext tptp.uri_owl_propertyChainAxiom tptp.uri_skos_member @t67)) % 1.00/1.24 (define @t71 () (tptp.iext tptp.uri_rdfs_subPropertyOf tptp.uri_skos_memberList @t61)) % 1.00/1.24 (define @t72 () (and @t71 @t70 @t69 @t68 @t66 @t65 @t63 @t62 @t60 @t58 @t57 @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46)) % 1.00/1.24 (define @t73 () (@list @t61 @t67 @t64 @t59 @t56 @t51 @t48 @t45)) % 1.00/1.24 (define @t74 () (exists @t73 @t72)) % 1.00/1.24 (define @t75 () (not @t21)) % 1.00/1.24 (define @t76 () (not @t23)) % 1.00/1.24 (define @t77 () (or @t76 @t75 @t18)) % 1.00/1.24 (define @t78 () (= @t31 (and @t10 @t28 @t27 (forall @t25 @t77)))) % 1.00/1.24 (define @t79 () (not @t34)) % 1.00/1.24 (define @t80 () (not @t35)) % 1.00/1.24 (define @t81 () (not @t36)) % 1.00/1.24 (define @t82 () (not @t37)) % 1.00/1.24 (define @t83 () (or @t82 @t81 @t80 @t79)) % 1.00/1.24 (define @t84 () (not @t57)) % 1.00/1.24 (define @t85 () (not @t58)) % 1.00/1.24 (define @t86 () (not @t60)) % 1.00/1.24 (define @t87 () (not @t62)) % 1.00/1.24 (define @t88 () (not @t63)) % 1.00/1.24 (define @t89 () (not @t65)) % 1.00/1.24 (define @t90 () (not @t66)) % 1.00/1.24 (define @t91 () (not @t68)) % 1.00/1.24 (define @t92 () (not @t69)) % 1.00/1.24 (define @t93 () (not @t70)) % 1.00/1.24 (define @t94 () (not @t71)) % 1.00/1.24 (define @t95 () (or @t94 @t93 @t92 @t91 @t90 @t89 @t88 @t87 @t86 @t85 @t84)) % 1.00/1.24 (define @t96 () (forall (@list @t61 @t67 @t64 @t59 @t56) @t95)) % 1.00/1.24 (define @t97 () (@quantifiers_skolemize @t96 4)) % 1.00/1.24 (define @t98 () (@quantifiers_skolemize @t96 0)) % 1.00/1.24 (define @t99 () (@quantifiers_skolemize @t96 3)) % 1.00/1.24 (define @t100 () (not @t46)) % 1.00/1.24 (define @t101 () (not @t47)) % 1.00/1.24 (define @t102 () (not @t49)) % 1.00/1.24 (define @t103 () (not @t50)) % 1.00/1.24 (define @t104 () (not @t52)) % 1.00/1.24 (define @t105 () (not @t53)) % 1.00/1.24 (define @t106 () (not @t54)) % 1.00/1.24 (define @t107 () (or @t106 @t105 @t104 @t103 @t102 @t101 @t100)) % 1.00/1.24 (define @t108 () (forall (@list @t51 @t48 @t45) @t107)) % 1.00/1.24 (define @t109 () (not @t55)) % 1.00/1.24 (define @t110 () (or @t109 @t95 @t107)) % 1.00/1.24 (define @t111 () (or @t94 @t93 @t92 @t91 @t90 @t89 @t88 @t87 @t86 @t85 @t84 @t109 @t106 @t105 @t104 @t103 @t102 @t101 @t100)) % 1.00/1.24 (define @t112 () (forall @t73 (not @t72))) % 1.00/1.24 (define @t113 () (not @t112)) % 1.00/1.24 (define @t114 () (tptp.iext tptp.uri_rdf_rest @t97 tptp.uri_rdf_nil)) % 1.00/1.24 (define @t115 () (not @t114)) % 1.00/1.24 (define @t116 () (tptp.iext tptp.uri_rdf_first @t97 tptp.uri_rdf_rest)) % 1.00/1.24 (define @t117 () (not @t116)) % 1.00/1.24 (define @t118 () (tptp.iext tptp.uri_rdf_rest @t99 @t97)) % 1.00/1.24 (define @t119 () (not @t118)) % 1.00/1.24 (define @t120 () (tptp.iext tptp.uri_rdf_first @t99 @t98)) % 1.00/1.24 (define @t121 () (not @t120)) % 1.00/1.24 (define @t122 () (tptp.iext tptp.uri_owl_propertyChainAxiom @t98 @t99)) % 1.00/1.24 (define @t123 () (not @t122)) % 1.00/1.24 (define @t124 () (@quantifiers_skolemize @t96 2)) % 1.00/1.24 (define @t125 () (tptp.iext tptp.uri_rdf_rest @t124 tptp.uri_rdf_nil)) % 1.00/1.24 (define @t126 () (not @t125)) % 1.00/1.24 (define @t127 () (tptp.iext tptp.uri_rdf_first @t124 tptp.uri_rdf_first)) % 1.00/1.24 (define @t128 () (not @t127)) % 1.00/1.24 (define @t129 () (@quantifiers_skolemize @t96 1)) % 1.00/1.24 (define @t130 () (tptp.iext tptp.uri_rdf_rest @t129 @t124)) % 1.00/1.24 (define @t131 () (not @t130)) % 1.00/1.24 (define @t132 () (tptp.iext tptp.uri_rdf_first @t129 @t98)) % 1.00/1.24 (define @t133 () (not @t132)) % 1.00/1.24 (define @t134 () (tptp.iext tptp.uri_owl_propertyChainAxiom tptp.uri_skos_member @t129)) % 1.00/1.24 (define @t135 () (not @t134)) % 1.00/1.24 (define @t136 () (tptp.iext tptp.uri_rdfs_subPropertyOf tptp.uri_skos_memberList @t98)) % 1.00/1.24 (define @t137 () (not @t136)) % 1.00/1.24 (define @t138 () (or @t137 @t135 @t133 @t131 @t128 @t126 @t123 @t121 @t119 @t117 @t115)) % 1.00/1.24 (define @t139 () (@list true)) % 1.00/1.24 (define @t140 () (@list @t138)) % 1.00/1.24 (define @t141 () (not (tptp.iext @t98 @t17 @t19))) % 1.00/1.24 (define @t142 () (forall @t25 (or @t141 (not (tptp.iext tptp.uri_rdf_rest @t19 @t16)) (tptp.iext @t98 @t17 @t16)))) % 1.00/1.24 (define @t143 () (tptp.ip @t98)) % 1.00/1.24 (define @t144 () (and @t143 @t143 (tptp.ip tptp.uri_rdf_rest) @t142)) % 1.00/1.24 (define @t145 () (= @t122 @t144)) % 1.00/1.24 (define @t146 () (or @t121 @t119 @t117 @t115 @t145)) % 1.00/1.24 (define @t147 () (@list false false false false false)) % 1.00/1.24 (define @t148 () (@list false false)) % 1.00/1.24 (define @t149 () (@list false)) % 1.00/1.24 (define @t150 () (forall @t25 (or @t141 (not (tptp.iext tptp.uri_rdf_first @t19 @t16)) (tptp.iext tptp.uri_skos_member @t17 @t16)))) % 1.00/1.24 (define @t151 () (and (tptp.ip tptp.uri_skos_member) @t143 (tptp.ip tptp.uri_rdf_first) @t150)) % 1.00/1.24 (define @t152 () (= @t134 @t151)) % 1.00/1.24 (define @t153 () (or @t133 @t131 @t128 @t126 @t152)) % 1.00/1.24 (define @t154 () (@quantifiers_skolemize @t108 2)) % 1.00/1.24 (define @t155 () (tptp.iext tptp.uri_rdf_first @t154 tptp.uri_ex_Z)) % 1.00/1.24 (define @t156 () (not @t155)) % 1.00/1.24 (define @t157 () (@quantifiers_skolemize @t108 1)) % 1.00/1.24 (define @t158 () (tptp.iext tptp.uri_rdf_rest @t157 @t154)) % 1.00/1.24 (define @t159 () (not @t158)) % 1.00/1.24 (define @t160 () (tptp.iext tptp.uri_rdf_first @t157 tptp.uri_ex_Y)) % 1.00/1.24 (define @t161 () (not @t160)) % 1.00/1.24 (define @t162 () (@quantifiers_skolemize @t108 0)) % 1.00/1.24 (define @t163 () (tptp.iext tptp.uri_rdf_rest @t162 @t157)) % 1.00/1.24 (define @t164 () (not @t163)) % 1.00/1.24 (define @t165 () (tptp.iext tptp.uri_rdf_first @t162 tptp.uri_ex_X)) % 1.00/1.24 (define @t166 () (not @t165)) % 1.00/1.24 (define @t167 () (tptp.iext tptp.uri_skos_memberList tptp.uri_ex_MyOrderedCollection @t162)) % 1.00/1.24 (define @t168 () (not @t167)) % 1.00/1.24 (define @t169 () (or @t168 @t166 @t164 @t161 @t159 @t156 (not (tptp.iext tptp.uri_rdf_rest @t154 tptp.uri_rdf_nil)))) % 1.00/1.24 (define @t170 () (@list @t169)) % 1.00/1.24 (define @t171 () (@var "BOUND_VARIABLE_7513" $$unsorted)) % 1.00/1.24 (define @t172 () (@var "BOUND_VARIABLE_7511" $$unsorted)) % 1.00/1.24 (define @t173 () (or (not (tptp.iext @t5 @t172 @t171)) (tptp.iext @t3 @t172 @t171))) % 1.00/1.24 (define @t174 () (and @t10 @t9 @t173)) % 1.00/1.24 (define @t175 () (not @t12)) % 1.00/1.24 (define @t176 () (or @t175 @t174)) % 1.00/1.24 (define @t177 () (@list @t172 @t171)) % 1.00/1.24 (define @t178 () (forall @t177 @t176)) % 1.00/1.24 (define @t179 () (forall @t177 @t173)) % 1.00/1.24 (define @t180 () (forall @t177 @t9)) % 1.00/1.24 (define @t181 () (forall @t177 @t10)) % 1.00/1.24 (define @t182 () (and @t181 @t180 @t179)) % 1.00/1.24 (define @t183 () (forall @t177 @t174)) % 1.00/1.24 (define @t184 () (or @t175 @t183)) % 1.00/1.24 (define @t185 () (and @t10 @t9 (forall @t7 (or (not @t6) @t4)))) % 1.00/1.24 (define @t186 () (tptp.iext @t98 tptp.uri_ex_MyOrderedCollection @t162)) % 1.00/1.24 (define @t187 () (or @t168 @t186)) % 1.00/1.24 (define @t188 () (and (tptp.ip tptp.uri_skos_memberList) @t143 @t187)) % 1.00/1.24 (define @t189 () (or @t137 @t188)) % 1.00/1.24 (define @t190 () (tptp.iext @t98 tptp.uri_ex_MyOrderedCollection @t157)) % 1.00/1.24 (define @t191 () (not @t186)) % 1.00/1.24 (define @t192 () (or @t191 @t164 @t190)) % 1.00/1.24 (define @t193 () (@list false false false)) % 1.00/1.24 (define @t194 () (not @t190)) % 1.00/1.24 (define @t195 () (or @t194 @t161 @t43)) % 1.00/1.24 (define @t196 () (or @t191 @t166 @t44)) % 1.00/1.24 (define @t197 () (tptp.iext @t98 tptp.uri_ex_MyOrderedCollection @t154)) % 1.00/1.24 (define @t198 () (not @t197)) % 1.00/1.24 (define @t199 () (or @t198 @t156 @t42)) % 1.00/1.24 (define @t200 () (or @t194 @t159 @t197)) % 1.00/1.24 (define @t201 () (not @t200)) % 1.00/1.24 (assume @p1 @t15) % 1.00/1.24 (assume @p2 @t41) % 1.00/1.24 (assume @p3 (not (and @t44 @t43 @t42))) % 1.00/1.24 (assume @p4 @t74) % 1.00/1.24 (assume @p5 true) % 1.00/1.24 (step @p6 :rule aci_norm :args ((= (or @t83 @t78) (or @t82 @t81 @t80 @t79 @t78)))) % 1.00/1.24 (step @p7 :rule refl :args (@t78)) % 1.00/1.24 (step @p8 :rule aci_norm :args ((= (or @t82 (or @t81 (or @t80 @t79))) @t83))) % 1.00/1.24 (step @p9 :rule bool-and-de-morgan :args (@t35 @t34 true)) % 1.00/1.24 (step @p10 :rule refl :args (@t81)) % 1.00/1.24 (step @p11 :rule nary_cong :premises (@p10 @p9) :args ((or @t81 (not (and @t35 @t34))))) % 1.00/1.24 (step @p12 :rule bool-and-de-morgan :args (@t36 @t35 (and @t34))) % 1.00/1.24 (step @p13 :rule trans :premises (@p12 @p11)) % 1.00/1.24 (step @p14 :rule refl :args (@t82)) % 1.00/1.24 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or @t82 (not (and @t36 @t35 @t34))))) % 1.00/1.24 (step @p16 :rule bool-and-de-morgan :args (@t37 @t36 (and @t35 @t34))) % 1.00/1.24 (step @p17 :rule trans :premises (@p16 @p15)) % 1.00/1.24 (step @p18 :rule trans :premises (@p17 @p8)) % 1.00/1.24 (step @p19 :rule nary_cong :premises (@p18 @p7) :args ((or (not @t38) @t78))) % 1.00/1.24 (step @p20 :rule trans :premises (@p19 @p6)) % 1.00/1.24 (step @p21 :rule bool-impl-elim :args (@t38 @t78)) % 1.00/1.24 (step @p22 :rule trans :premises (@p21 @p20)) % 1.00/1.24 (step @p23 :rule cong :premises (@p22) :args ((forall @t40 (=> @t38 @t78)))) % 1.00/1.24 (step @p24 :rule aci_norm :args ((= (or (or @t76 @t75) @t18) @t77))) % 1.00/1.24 (step @p25 :rule refl :args (@t18)) % 1.00/1.24 (step @p26 :rule bool-and-de-morgan :args (@t23 @t21 true)) % 1.00/1.24 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or (not @t24) @t18))) % 1.00/1.24 (step @p28 :rule trans :premises (@p27 @p24)) % 1.00/1.24 (step @p29 :rule bool-impl-elim :args (@t24 @t18)) % 1.00/1.24 (step @p30 :rule trans :premises (@p29 @p28)) % 1.00/1.24 (step @p31 :rule cong :premises (@p30) :args (@t26)) % 1.00/1.24 (step @p32 :rule refl :args (@t27)) % 1.00/1.24 (step @p33 :rule refl :args (@t28)) % 1.00/1.24 (step @p34 :rule refl :args (@t10)) % 1.00/1.24 (step @p35 :rule nary_cong :premises (@p34 @p33 @p32 @p31) :args (@t29)) % 1.00/1.24 (step @p36 :rule refl :args (@t31)) % 1.00/1.24 (step @p37 :rule cong :premises (@p36 @p35) :args (@t32)) % 1.00/1.24 (step @p38 :rule refl :args (@t38)) % 1.00/1.24 (step @p39 :rule cong :premises (@p38 @p37) :args (@t39)) % 1.00/1.24 (step @p40 :rule cong :premises (@p39) :args (@t41)) % 1.00/1.24 (step @p41 :rule trans :premises (@p40 @p23)) % 1.00/1.24 (step @p42 :rule eq_resolve :premises (@p2 @p41)) % 1.00/1.24 (step @p43 :rule instantiate :premises (@p42) :args ((@list @t98 @t99 @t98 @t97 tptp.uri_rdf_rest))) % 1.00/1.24 (step @p44 :rule quant-miniscope-or :args ((= (forall @t73 @t110) (or @t109 @t96 @t108)))) % 1.00/1.24 (step @p45 :rule aci_norm :args ((= @t111 @t110))) % 1.00/1.24 (step @p46 :rule cong :premises (@p45) :args ((forall @t73 @t111))) % 1.00/1.24 (step @p47 :rule trans :premises (@p46 @p44)) % 1.00/1.24 (step @p48 :rule aci_norm :args ((= (or @t94 (or @t93 (or @t92 (or @t91 (or @t90 (or @t89 (or @t88 (or @t87 (or @t86 (or @t85 (or @t84 (or @t109 (or @t106 (or @t105 (or @t104 (or @t103 (or @t102 (or @t101 @t100)))))))))))))))))) @t111))) % 1.00/1.24 (step @p49 :rule bool-and-de-morgan :args (@t47 @t46 true)) % 1.00/1.24 (step @p50 :rule refl :args (@t102)) % 1.00/1.24 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t102 (not (and @t47 @t46))))) % 1.00/1.24 (step @p52 :rule bool-and-de-morgan :args (@t49 @t47 (and @t46))) % 1.00/1.24 (step @p53 :rule trans :premises (@p52 @p51)) % 1.00/1.24 (step @p54 :rule refl :args (@t103)) % 1.00/1.24 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t103 (not (and @t49 @t47 @t46))))) % 1.00/1.24 (step @p56 :rule bool-and-de-morgan :args (@t50 @t49 (and @t47 @t46))) % 1.00/1.24 (step @p57 :rule trans :premises (@p56 @p55)) % 1.00/1.24 (step @p58 :rule refl :args (@t104)) % 1.00/1.24 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t104 (not (and @t50 @t49 @t47 @t46))))) % 1.00/1.24 (step @p60 :rule bool-and-de-morgan :args (@t52 @t50 (and @t49 @t47 @t46))) % 1.00/1.24 (step @p61 :rule trans :premises (@p60 @p59)) % 1.00/1.24 (step @p62 :rule refl :args (@t105)) % 1.00/1.24 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t105 (not (and @t52 @t50 @t49 @t47 @t46))))) % 1.00/1.24 (step @p64 :rule bool-and-de-morgan :args (@t53 @t52 (and @t50 @t49 @t47 @t46))) % 1.00/1.24 (step @p65 :rule trans :premises (@p64 @p63)) % 1.00/1.24 (step @p66 :rule refl :args (@t106)) % 1.00/1.24 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t106 (not (and @t53 @t52 @t50 @t49 @t47 @t46))))) % 1.00/1.24 (step @p68 :rule bool-and-de-morgan :args (@t54 @t53 (and @t52 @t50 @t49 @t47 @t46))) % 1.00/1.24 (step @p69 :rule trans :premises (@p68 @p67)) % 1.00/1.24 (step @p70 :rule refl :args (@t109)) % 1.00/1.24 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t109 (not (and @t54 @t53 @t52 @t50 @t49 @t47 @t46))))) % 1.00/1.24 (step @p72 :rule bool-and-de-morgan :args (@t55 @t54 (and @t53 @t52 @t50 @t49 @t47 @t46))) % 1.00/1.24 (step @p73 :rule trans :premises (@p72 @p71)) % 1.00/1.24 (step @p74 :rule refl :args (@t84)) % 1.00/1.24 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t84 (not (and @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))))) % 1.00/1.24 (step @p76 :rule bool-and-de-morgan :args (@t57 @t55 (and @t54 @t53 @t52 @t50 @t49 @t47 @t46))) % 1.00/1.24 (step @p77 :rule trans :premises (@p76 @p75)) % 1.00/1.24 (step @p78 :rule refl :args (@t85)) % 1.00/1.24 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t85 (not (and @t57 @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))))) % 1.00/1.24 (step @p80 :rule bool-and-de-morgan :args (@t58 @t57 (and @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))) % 1.00/1.24 (step @p81 :rule trans :premises (@p80 @p79)) % 1.00/1.24 (step @p82 :rule refl :args (@t86)) % 1.00/1.24 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t86 (not (and @t58 @t57 @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))))) % 1.00/1.24 (step @p84 :rule bool-and-de-morgan :args (@t60 @t58 (and @t57 @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))) % 1.00/1.24 (step @p85 :rule trans :premises (@p84 @p83)) % 1.00/1.24 (step @p86 :rule refl :args (@t87)) % 1.00/1.24 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t87 (not (and @t60 @t58 @t57 @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))))) % 1.00/1.24 (step @p88 :rule bool-and-de-morgan :args (@t62 @t60 (and @t58 @t57 @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))) % 1.00/1.24 (step @p89 :rule trans :premises (@p88 @p87)) % 1.00/1.24 (step @p90 :rule refl :args (@t88)) % 1.00/1.24 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t88 (not (and @t62 @t60 @t58 @t57 @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))))) % 1.00/1.24 (step @p92 :rule bool-and-de-morgan :args (@t63 @t62 (and @t60 @t58 @t57 @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))) % 1.00/1.24 (step @p93 :rule trans :premises (@p92 @p91)) % 1.00/1.24 (step @p94 :rule refl :args (@t89)) % 1.00/1.24 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t89 (not (and @t63 @t62 @t60 @t58 @t57 @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))))) % 1.00/1.24 (step @p96 :rule bool-and-de-morgan :args (@t65 @t63 (and @t62 @t60 @t58 @t57 @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))) % 1.00/1.24 (step @p97 :rule trans :premises (@p96 @p95)) % 1.00/1.24 (step @p98 :rule refl :args (@t90)) % 1.00/1.24 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or @t90 (not (and @t65 @t63 @t62 @t60 @t58 @t57 @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))))) % 1.00/1.24 (step @p100 :rule bool-and-de-morgan :args (@t66 @t65 (and @t63 @t62 @t60 @t58 @t57 @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))) % 1.00/1.24 (step @p101 :rule trans :premises (@p100 @p99)) % 1.00/1.24 (step @p102 :rule refl :args (@t91)) % 1.00/1.24 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or @t91 (not (and @t66 @t65 @t63 @t62 @t60 @t58 @t57 @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))))) % 1.00/1.24 (step @p104 :rule bool-and-de-morgan :args (@t68 @t66 (and @t65 @t63 @t62 @t60 @t58 @t57 @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))) % 1.00/1.24 (step @p105 :rule trans :premises (@p104 @p103)) % 1.00/1.24 (step @p106 :rule refl :args (@t92)) % 1.00/1.24 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t92 (not (and @t68 @t66 @t65 @t63 @t62 @t60 @t58 @t57 @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))))) % 1.00/1.24 (step @p108 :rule bool-and-de-morgan :args (@t69 @t68 (and @t66 @t65 @t63 @t62 @t60 @t58 @t57 @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))) % 1.00/1.24 (step @p109 :rule trans :premises (@p108 @p107)) % 1.00/1.24 (step @p110 :rule refl :args (@t93)) % 1.00/1.24 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t93 (not (and @t69 @t68 @t66 @t65 @t63 @t62 @t60 @t58 @t57 @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))))) % 1.00/1.24 (step @p112 :rule bool-and-de-morgan :args (@t70 @t69 (and @t68 @t66 @t65 @t63 @t62 @t60 @t58 @t57 @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))) % 1.00/1.24 (step @p113 :rule trans :premises (@p112 @p111)) % 1.00/1.24 (step @p114 :rule refl :args (@t94)) % 1.00/1.24 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t94 (not (and @t70 @t69 @t68 @t66 @t65 @t63 @t62 @t60 @t58 @t57 @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))))) % 1.00/1.24 (step @p116 :rule bool-and-de-morgan :args (@t71 @t70 (and @t69 @t68 @t66 @t65 @t63 @t62 @t60 @t58 @t57 @t55 @t54 @t53 @t52 @t50 @t49 @t47 @t46))) % 1.00/1.24 (step @p117 :rule trans :premises (@p116 @p115)) % 1.00/1.24 (step @p118 :rule trans :premises (@p117 @p48)) % 1.00/1.24 (step @p119 :rule cong :premises (@p118) :args (@t112)) % 1.00/1.24 (step @p120 :rule trans :premises (@p119 @p47)) % 1.00/1.24 (step @p121 :rule cong :premises (@p120) :args (@t113)) % 1.00/1.24 (step @p122 :rule exists-elim :args ((= @t74 @t113))) % 1.00/1.24 (step @p123 :rule trans :premises (@p122 @p121)) % 1.00/1.24 (step @p124 :rule eq_resolve :premises (@p4 @p123)) % 1.00/1.24 (step @p125 :rule not_or_elim :premises (@p124) :args (1)) % 1.00/1.24 (step @p126 :rule skolemize :premises (@p125)) % 1.00/1.24 (step @p127 :rule bool-double-not-elim :args (@t114)) % 1.00/1.24 (step @p128 :rule refl :args (@t138)) % 1.00/1.24 (step @p129 :rule nary_cong :premises (@p128 @p127) :args ((or @t138 (not @t115)))) % 1.00/1.24 (step @p130 :rule cnf_or_neg :args (@t138 10)) % 1.00/1.24 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 1.00/1.24 (step @p132 :rule reordering :premises (@p131) :args ((or @t114 @t138))) % 1.00/1.24 (step @p133 :rule chain_m_resolution :premises (@p132 @p126) :args (@t114 @t139 @t140)) % 1.00/1.24 (step @p134 :rule bool-double-not-elim :args (@t116)) % 1.00/1.24 (step @p135 :rule nary_cong :premises (@p128 @p134) :args ((or @t138 (not @t117)))) % 1.00/1.24 (step @p136 :rule cnf_or_neg :args (@t138 9)) % 1.00/1.24 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 1.00/1.24 (step @p138 :rule reordering :premises (@p137) :args ((or @t116 @t138))) % 1.00/1.24 (step @p139 :rule chain_m_resolution :premises (@p138 @p126) :args (@t116 @t139 @t140)) % 1.00/1.24 (step @p140 :rule bool-double-not-elim :args (@t118)) % 1.00/1.24 (step @p141 :rule nary_cong :premises (@p128 @p140) :args ((or @t138 (not @t119)))) % 1.00/1.24 (step @p142 :rule cnf_or_neg :args (@t138 8)) % 1.00/1.24 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 1.00/1.24 (step @p144 :rule reordering :premises (@p143) :args ((or @t118 @t138))) % 1.00/1.24 (step @p145 :rule chain_m_resolution :premises (@p144 @p126) :args (@t118 @t139 @t140)) % 1.00/1.24 (step @p146 :rule bool-double-not-elim :args (@t120)) % 1.00/1.24 (step @p147 :rule nary_cong :premises (@p128 @p146) :args ((or @t138 (not @t121)))) % 1.00/1.24 (step @p148 :rule cnf_or_neg :args (@t138 7)) % 1.00/1.24 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 1.00/1.24 (step @p150 :rule reordering :premises (@p149) :args ((or @t120 @t138))) % 1.00/1.24 (step @p151 :rule chain_m_resolution :premises (@p150 @p126) :args (@t120 @t139 @t140)) % 1.00/1.24 (step @p152 :rule cnf_or_pos :args (@t146)) % 1.00/1.24 (step @p153 :rule reordering :premises (@p152) :args ((or @t121 @t119 @t117 @t115 @t145 (not @t146)))) % 1.00/1.24 (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p145 @p139 @p133 @p43) :args (@t145 @t147 (@list @t120 @t118 @t116 @t114 @t146))) % 1.00/1.24 (step @p155 :rule bool-double-not-elim :args (@t122)) % 1.00/1.24 (step @p156 :rule nary_cong :premises (@p128 @p155) :args ((or @t138 (not @t123)))) % 1.00/1.24 (step @p157 :rule cnf_or_neg :args (@t138 6)) % 1.00/1.24 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 1.00/1.24 (step @p159 :rule reordering :premises (@p158) :args ((or @t122 @t138))) % 1.00/1.24 (step @p160 :rule chain_m_resolution :premises (@p159 @p126) :args (@t122 @t139 @t140)) % 1.00/1.24 (step @p161 :rule cnf_equiv_pos1 :args (@t145)) % 1.00/1.24 (step @p162 :rule reordering :premises (@p161) :args ((or @t123 @t144 (not @t145)))) % 1.00/1.24 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p154) :args (@t144 @t148 (@list @t122 @t145))) % 1.00/1.24 (step @p164 :rule cnf_and_pos :args (@t144 3)) % 1.00/1.24 (step @p165 :rule reordering :premises (@p164) :args ((or @t142 (not @t144)))) % 1.00/1.24 (step @p166 :rule chain_m_resolution :premises (@p165 @p163) :args (@t142 @t149 (@list @t144))) % 1.00/1.24 (step @p167 :rule instantiate :premises (@p42) :args ((@list tptp.uri_skos_member @t129 @t98 @t124 tptp.uri_rdf_first))) % 1.00/1.24 (step @p168 :rule bool-double-not-elim :args (@t125)) % 1.00/1.24 (step @p169 :rule nary_cong :premises (@p128 @p168) :args ((or @t138 (not @t126)))) % 1.00/1.24 (step @p170 :rule cnf_or_neg :args (@t138 5)) % 1.00/1.24 (step @p171 :rule eq_resolve :premises (@p170 @p169)) % 1.00/1.24 (step @p172 :rule reordering :premises (@p171) :args ((or @t125 @t138))) % 1.00/1.24 (step @p173 :rule chain_m_resolution :premises (@p172 @p126) :args (@t125 @t139 @t140)) % 1.00/1.24 (step @p174 :rule bool-double-not-elim :args (@t127)) % 1.00/1.24 (step @p175 :rule nary_cong :premises (@p128 @p174) :args ((or @t138 (not @t128)))) % 1.00/1.24 (step @p176 :rule cnf_or_neg :args (@t138 4)) % 1.00/1.24 (step @p177 :rule eq_resolve :premises (@p176 @p175)) % 1.00/1.24 (step @p178 :rule reordering :premises (@p177) :args ((or @t127 @t138))) % 1.00/1.24 (step @p179 :rule chain_m_resolution :premises (@p178 @p126) :args (@t127 @t139 @t140)) % 1.00/1.24 (step @p180 :rule bool-double-not-elim :args (@t130)) % 1.00/1.24 (step @p181 :rule nary_cong :premises (@p128 @p180) :args ((or @t138 (not @t131)))) % 1.00/1.24 (step @p182 :rule cnf_or_neg :args (@t138 3)) % 1.00/1.24 (step @p183 :rule eq_resolve :premises (@p182 @p181)) % 1.00/1.24 (step @p184 :rule reordering :premises (@p183) :args ((or @t130 @t138))) % 1.00/1.24 (step @p185 :rule chain_m_resolution :premises (@p184 @p126) :args (@t130 @t139 @t140)) % 1.00/1.24 (step @p186 :rule bool-double-not-elim :args (@t132)) % 1.00/1.24 (step @p187 :rule nary_cong :premises (@p128 @p186) :args ((or @t138 (not @t133)))) % 1.00/1.24 (step @p188 :rule cnf_or_neg :args (@t138 2)) % 1.00/1.24 (step @p189 :rule eq_resolve :premises (@p188 @p187)) % 1.00/1.24 (step @p190 :rule reordering :premises (@p189) :args ((or @t132 @t138))) % 1.00/1.24 (step @p191 :rule chain_m_resolution :premises (@p190 @p126) :args (@t132 @t139 @t140)) % 1.00/1.24 (step @p192 :rule cnf_or_pos :args (@t153)) % 1.00/1.24 (step @p193 :rule reordering :premises (@p192) :args ((or @t133 @t131 @t128 @t126 @t152 (not @t153)))) % 1.00/1.24 (step @p194 :rule chain_m_resolution :premises (@p193 @p191 @p185 @p179 @p173 @p167) :args (@t152 @t147 (@list @t132 @t130 @t127 @t125 @t153))) % 1.00/1.24 (step @p195 :rule bool-double-not-elim :args (@t134)) % 1.00/1.24 (step @p196 :rule nary_cong :premises (@p128 @p195) :args ((or @t138 (not @t135)))) % 1.00/1.24 (step @p197 :rule cnf_or_neg :args (@t138 1)) % 1.00/1.24 (step @p198 :rule eq_resolve :premises (@p197 @p196)) % 1.00/1.24 (step @p199 :rule reordering :premises (@p198) :args ((or @t134 @t138))) % 1.00/1.24 (step @p200 :rule chain_m_resolution :premises (@p199 @p126) :args (@t134 @t139 @t140)) % 1.00/1.24 (step @p201 :rule cnf_equiv_pos1 :args (@t152)) % 1.00/1.24 (step @p202 :rule reordering :premises (@p201) :args ((or @t135 @t151 (not @t152)))) % 1.00/1.24 (step @p203 :rule chain_m_resolution :premises (@p202 @p200 @p194) :args (@t151 @t148 (@list @t134 @t152))) % 1.00/1.24 (step @p204 :rule cnf_and_pos :args (@t151 3)) % 1.00/1.24 (step @p205 :rule reordering :premises (@p204) :args ((or @t150 (not @t151)))) % 1.00/1.24 (step @p206 :rule chain_m_resolution :premises (@p205 @p203) :args (@t150 @t149 (@list @t151))) % 1.00/1.24 (step @p207 :rule instantiate :premises (@p206) :args ((@list tptp.uri_ex_MyOrderedCollection @t154 tptp.uri_ex_Z))) % 1.00/1.24 (step @p208 :rule not_or_elim :premises (@p124) :args (2)) % 1.00/1.24 (step @p209 :rule skolemize :premises (@p208)) % 1.00/1.24 (step @p210 :rule bool-double-not-elim :args (@t155)) % 1.00/1.24 (step @p211 :rule refl :args (@t169)) % 1.00/1.24 (step @p212 :rule nary_cong :premises (@p211 @p210) :args ((or @t169 (not @t156)))) % 1.00/1.24 (step @p213 :rule cnf_or_neg :args (@t169 5)) % 1.00/1.24 (step @p214 :rule eq_resolve :premises (@p213 @p212)) % 1.00/1.24 (step @p215 :rule reordering :premises (@p214) :args ((or @t155 @t169))) % 1.00/1.24 (step @p216 :rule chain_m_resolution :premises (@p215 @p209) :args (@t155 @t139 @t170)) % 1.00/1.24 (step @p217 :rule instantiate :premises (@p206) :args ((@list tptp.uri_ex_MyOrderedCollection @t157 tptp.uri_ex_Y))) % 1.00/1.24 (step @p218 :rule instantiate :premises (@p166) :args ((@list tptp.uri_ex_MyOrderedCollection @t162 @t157))) % 1.00/1.24 (step @p219 :rule quant-merge-prenex :args ((= (forall @t14 @t178) (forall (@list @t5 @t3 @t172 @t171) @t176)))) % 1.00/1.24 (step @p220 :rule alpha_equiv :args (@t179 (@list @t172 @t171) (@list @t2 @t1))) % 1.00/1.24 (step @p221 :rule quant-unused-vars :args ((= @t180 @t9))) % 1.00/1.24 (step @p222 :rule quant-unused-vars :args ((= @t181 @t10))) % 1.00/1.24 (step @p223 :rule nary_cong :premises (@p222 @p221 @p220) :args (@t182)) % 1.00/1.24 (step @p224 :rule quant-miniscope-and :args ((= @t183 @t182))) % 1.00/1.24 (step @p225 :rule trans :premises (@p224 @p223)) % 1.00/1.24 (step @p226 :rule refl :args (@t175)) % 1.00/1.24 (step @p227 :rule nary_cong :premises (@p226 @p225) :args (@t184)) % 1.00/1.24 (step @p228 :rule quant-miniscope-or :args ((= @t178 @t184))) % 1.00/1.24 (step @p229 :rule trans :premises (@p228 @p227)) % 1.00/1.24 (step @p230 :rule symm :premises (@p229)) % 1.00/1.24 (step @p231 :rule cong :premises (@p230) :args ((forall @t14 (or @t175 @t185)))) % 1.00/1.24 (step @p232 :rule trans :premises (@p231 @p219)) % 1.00/1.24 (step @p233 :rule bool-impl-elim :args (@t12 @t185)) % 1.00/1.24 (step @p234 :rule cong :premises (@p233) :args ((forall @t14 (=> @t12 @t185)))) % 1.00/1.24 (step @p235 :rule trans :premises (@p234 @p232)) % 1.00/1.24 (step @p236 :rule bool-impl-elim :args (@t6 @t4)) % 1.00/1.24 (step @p237 :rule cong :premises (@p236) :args (@t8)) % 1.00/1.24 (step @p238 :rule refl :args (@t9)) % 1.00/1.24 (step @p239 :rule nary_cong :premises (@p34 @p238 @p237) :args (@t11)) % 1.00/1.24 (step @p240 :rule refl :args (@t12)) % 1.00/1.24 (step @p241 :rule cong :premises (@p240 @p239) :args (@t13)) % 1.00/1.24 (step @p242 :rule cong :premises (@p241) :args (@t15)) % 1.00/1.24 (step @p243 :rule trans :premises (@p242 @p235)) % 1.00/1.24 (step @p244 :rule eq_resolve :premises (@p1 @p243)) % 1.00/1.24 (step @p245 :rule instantiate :premises (@p244) :args ((@list tptp.uri_skos_memberList @t98 tptp.uri_ex_MyOrderedCollection @t162))) % 1.00/1.24 (step @p246 :rule bool-double-not-elim :args (@t136)) % 1.00/1.24 (step @p247 :rule nary_cong :premises (@p128 @p246) :args ((or @t138 (not @t137)))) % 1.00/1.24 (step @p248 :rule cnf_or_neg :args (@t138 0)) % 1.00/1.24 (step @p249 :rule eq_resolve :premises (@p248 @p247)) % 1.00/1.24 (step @p250 :rule reordering :premises (@p249) :args ((or @t136 @t138))) % 1.00/1.24 (step @p251 :rule chain_m_resolution :premises (@p250 @p126) :args (@t136 @t139 @t140)) % 1.00/1.24 (step @p252 :rule cnf_or_pos :args (@t189)) % 1.00/1.24 (step @p253 :rule reordering :premises (@p252) :args ((or @t137 @t188 (not @t189)))) % 1.00/1.24 (step @p254 :rule chain_m_resolution :premises (@p253 @p251 @p245) :args (@t188 @t148 (@list @t136 @t189))) % 1.00/1.24 (step @p255 :rule cnf_and_pos :args (@t188 2)) % 1.00/1.24 (step @p256 :rule reordering :premises (@p255) :args ((or @t187 (not @t188)))) % 1.00/1.24 (step @p257 :rule chain_m_resolution :premises (@p256 @p254) :args (@t187 @t149 (@list @t188))) % 1.00/1.24 (step @p258 :rule bool-double-not-elim :args (@t167)) % 1.00/1.24 (step @p259 :rule nary_cong :premises (@p211 @p258) :args ((or @t169 (not @t168)))) % 1.00/1.24 (step @p260 :rule cnf_or_neg :args (@t169 0)) % 1.00/1.24 (step @p261 :rule eq_resolve :premises (@p260 @p259)) % 1.00/1.24 (step @p262 :rule reordering :premises (@p261) :args ((or @t167 @t169))) % 1.00/1.24 (step @p263 :rule chain_m_resolution :premises (@p262 @p209) :args (@t167 @t139 @t170)) % 1.00/1.24 (step @p264 :rule cnf_or_pos :args (@t187)) % 1.00/1.24 (step @p265 :rule reordering :premises (@p264) :args ((or @t168 @t186 (not @t187)))) % 1.00/1.24 (step @p266 :rule chain_m_resolution :premises (@p265 @p263 @p257) :args (@t186 @t148 (@list @t167 @t187))) % 1.00/1.24 (step @p267 :rule bool-double-not-elim :args (@t163)) % 1.00/1.24 (step @p268 :rule nary_cong :premises (@p211 @p267) :args ((or @t169 (not @t164)))) % 1.00/1.24 (step @p269 :rule cnf_or_neg :args (@t169 2)) % 1.00/1.24 (step @p270 :rule eq_resolve :premises (@p269 @p268)) % 1.00/1.24 (step @p271 :rule reordering :premises (@p270) :args ((or @t163 @t169))) % 1.00/1.24 (step @p272 :rule chain_m_resolution :premises (@p271 @p209) :args (@t163 @t139 @t170)) % 1.00/1.24 (step @p273 :rule cnf_or_pos :args (@t192)) % 1.00/1.24 (step @p274 :rule reordering :premises (@p273) :args ((or @t164 @t191 @t190 (not @t192)))) % 1.00/1.24 (step @p275 :rule chain_m_resolution :premises (@p274 @p272 @p266 @p218) :args (@t190 @t193 (@list @t163 @t186 @t192))) % 1.00/1.24 (step @p276 :rule bool-double-not-elim :args (@t160)) % 1.00/1.24 (step @p277 :rule nary_cong :premises (@p211 @p276) :args ((or @t169 (not @t161)))) % 1.00/1.24 (step @p278 :rule cnf_or_neg :args (@t169 3)) % 1.00/1.24 (step @p279 :rule eq_resolve :premises (@p278 @p277)) % 1.00/1.24 (step @p280 :rule reordering :premises (@p279) :args ((or @t160 @t169))) % 1.00/1.24 (step @p281 :rule chain_m_resolution :premises (@p280 @p209) :args (@t160 @t139 @t170)) % 1.00/1.24 (step @p282 :rule cnf_or_pos :args (@t195)) % 1.00/1.24 (step @p283 :rule reordering :premises (@p282) :args ((or @t43 @t161 @t194 (not @t195)))) % 1.00/1.24 (step @p284 :rule chain_m_resolution :premises (@p283 @p281 @p275 @p217) :args (@t43 @t193 (@list @t160 @t190 @t195))) % 1.00/1.24 (step @p285 :rule instantiate :premises (@p206) :args ((@list tptp.uri_ex_MyOrderedCollection @t162 tptp.uri_ex_X))) % 1.00/1.24 (step @p286 :rule bool-double-not-elim :args (@t165)) % 1.00/1.24 (step @p287 :rule nary_cong :premises (@p211 @p286) :args ((or @t169 (not @t166)))) % 1.00/1.24 (step @p288 :rule cnf_or_neg :args (@t169 1)) % 1.00/1.24 (step @p289 :rule eq_resolve :premises (@p288 @p287)) % 1.00/1.24 (step @p290 :rule reordering :premises (@p289) :args ((or @t165 @t169))) % 1.00/1.24 (step @p291 :rule chain_m_resolution :premises (@p290 @p209) :args (@t165 @t139 @t170)) % 1.00/1.24 (step @p292 :rule cnf_or_pos :args (@t196)) % 1.00/1.24 (step @p293 :rule reordering :premises (@p292) :args ((or @t44 @t166 @t191 (not @t196)))) % 1.00/1.24 (step @p294 :rule chain_m_resolution :premises (@p293 @p291 @p266 @p285) :args (@t44 @t193 (@list @t165 @t186 @t196))) % 1.00/1.24 (step @p295 :rule not_and :premises (@p3)) % 1.00/1.24 (step @p296 :rule chain_m_resolution :premises (@p295 @p294 @p284) :args ((not @t42) @t148 (@list @t44 @t43))) % 1.00/1.24 (step @p297 :rule cnf_or_pos :args (@t199)) % 1.00/1.24 (step @p298 :rule reordering :premises (@p297) :args ((or @t42 @t156 @t198 (not @t199)))) % 1.00/1.24 (step @p299 :rule chain_m_resolution :premises (@p298 @p296 @p216 @p207) :args (@t198 (@list true false false) (@list @t42 @t155 @t199))) % 1.00/1.24 (step @p300 :rule bool-double-not-elim :args (@t158)) % 1.00/1.24 (step @p301 :rule nary_cong :premises (@p211 @p300) :args ((or @t169 (not @t159)))) % 1.00/1.24 (step @p302 :rule cnf_or_neg :args (@t169 4)) % 1.00/1.24 (step @p303 :rule eq_resolve :premises (@p302 @p301)) % 1.00/1.24 (step @p304 :rule reordering :premises (@p303) :args ((or @t158 @t169))) % 1.00/1.24 (step @p305 :rule chain_m_resolution :premises (@p304 @p209) :args (@t158 @t139 @t170)) % 1.00/1.24 (step @p306 :rule cnf_or_pos :args (@t200)) % 1.00/1.24 (step @p307 :rule reordering :premises (@p306) :args ((or @t159 @t194 @t197 @t201))) % 1.00/1.24 (step @p308 :rule chain_m_resolution :premises (@p307 @p305 @p275 @p299) :args (@t201 (@list false false true) (@list @t158 @t190 @t197))) % 1.00/1.24 (assume-push @p315 @t142) % 1.00/1.24 (step @p310 :rule instantiate :premises (@p166) :args ((@list tptp.uri_ex_MyOrderedCollection @t157 @t154))) % 1.00/1.24 (step-pop @p316 :rule scope :premises (@p310)) % 1.00/1.24 (step @p311 :rule process_scope :premises (@p316) :args (@t200)) % 1.00/1.24 (step @p313 :rule implies_elim :premises (@p311)) % 1.00/1.24 (step @p314 false :rule chain_m_resolution :premises (@p313 @p308 @p166) :args (false (@list true false) (@list @t200 @t142))) % 1.00/1.24 ) % 1.00/1.24 % SZS output end Proof % 1.00/1.24 % cvc5 exiting %------------------------------------------------------------------------------