%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWB020+2 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:57:10 AM UTC 2026 % Result : Theorem 0.61s 0.83s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB020+2 : TPTP v9.2.1. Released v5.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.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 18:53:45 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.61/0.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.61/0.83 % SZS status Theorem % 0.61/0.83 % SZS output start Proof % 0.61/0.83 ( % 0.61/0.83 (declare-sort $$unsorted 0) % 0.61/0.83 (declare-const tptp.uri_ex_c $$unsorted) % 0.61/0.83 (declare-const tptp.uri_ex_c2 $$unsorted) % 0.61/0.83 (declare-const tptp.ic (-> $$unsorted Bool)) % 0.61/0.83 (declare-const tptp.uri_owl_intersectionOf $$unsorted) % 0.61/0.83 (declare-const tptp.uri_owl_disjointWith $$unsorted) % 0.61/0.83 (declare-const tptp.uri_ex_c1 $$unsorted) % 0.61/0.83 (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.61/0.83 (declare-const tptp.icext (-> $$unsorted $$unsorted Bool)) % 0.61/0.83 (declare-const tptp.uri_owl_complementOf $$unsorted) % 0.61/0.83 (declare-const tptp.uri_rdf_nil $$unsorted) % 0.61/0.83 (declare-const tptp.uri_owl_unionOf $$unsorted) % 0.61/0.83 (declare-const tptp.uri_rdfs_subClassOf $$unsorted) % 0.61/0.83 (declare-const tptp.uri_rdf_rest $$unsorted) % 0.61/0.83 (declare-const tptp.uri_ex_c3 $$unsorted) % 0.61/0.83 (declare-const tptp.uri_rdf_first $$unsorted) % 0.61/0.83 (declare-const tptp.uri_ex_d $$unsorted) % 0.61/0.83 (define @t1 () (@var "Y" $$unsorted)) % 0.61/0.83 (define @t2 () (@var "X" $$unsorted)) % 0.61/0.83 (define @t3 () (and (tptp.ic @t2) (tptp.ic @t1))) % 0.61/0.83 (define @t4 () (tptp.iext tptp.uri_owl_disjointWith @t2 @t1)) % 0.61/0.83 (define @t5 () (forall (@list @t2 @t1) (=> @t4 @t3))) % 0.61/0.83 (define @t6 () (@var "C" $$unsorted)) % 0.61/0.83 (define @t7 () (@var "Z" $$unsorted)) % 0.61/0.83 (define @t8 () (tptp.icext @t7 @t2)) % 0.61/0.83 (define @t9 () (@list @t2)) % 0.61/0.83 (define @t10 () (tptp.ic @t6)) % 0.61/0.83 (define @t11 () (tptp.ic @t7)) % 0.61/0.83 (define @t12 () (and @t11 @t10 (forall @t9 (= @t8 (not (tptp.icext @t6 @t2)))))) % 0.61/0.83 (define @t13 () (tptp.iext tptp.uri_owl_complementOf @t7 @t6)) % 0.61/0.83 (define @t14 () (@list @t7 @t6)) % 0.61/0.83 (define @t15 () (forall @t14 (=> @t13 @t12))) % 0.61/0.83 (define @t16 () (@var "C2" $$unsorted)) % 0.61/0.83 (define @t17 () (tptp.icext @t16 @t2)) % 0.61/0.83 (define @t18 () (@var "C1" $$unsorted)) % 0.61/0.83 (define @t19 () (tptp.icext @t18 @t2)) % 0.61/0.83 (define @t20 () (and @t19 @t17)) % 0.61/0.83 (define @t21 () (tptp.ic @t16)) % 0.61/0.83 (define @t22 () (tptp.ic @t18)) % 0.61/0.83 (define @t23 () (@var "S1" $$unsorted)) % 0.61/0.83 (define @t24 () (= (tptp.iext tptp.uri_owl_intersectionOf @t7 @t23) (and @t11 @t22 @t21 (forall @t9 (= @t8 @t20))))) % 0.61/0.83 (define @t25 () (@var "S2" $$unsorted)) % 0.61/0.83 (define @t26 () (tptp.iext tptp.uri_rdf_rest @t25 tptp.uri_rdf_nil)) % 0.61/0.83 (define @t27 () (tptp.iext tptp.uri_rdf_first @t25 @t16)) % 0.61/0.83 (define @t28 () (tptp.iext tptp.uri_rdf_rest @t23 @t25)) % 0.61/0.83 (define @t29 () (tptp.iext tptp.uri_rdf_first @t23 @t18)) % 0.61/0.83 (define @t30 () (and @t29 @t28 @t27 @t26)) % 0.61/0.83 (define @t31 () (forall (@list @t7 @t23 @t18 @t25 @t16) (=> @t30 @t24))) % 0.61/0.83 (define @t32 () (@var "C3" $$unsorted)) % 0.61/0.83 (define @t33 () (= (tptp.iext tptp.uri_owl_unionOf @t7 @t23) (and @t11 @t22 @t21 (tptp.ic @t32) (forall @t9 (= @t8 (or @t19 @t17 (tptp.icext @t32 @t2))))))) % 0.61/0.83 (define @t34 () (@var "S3" $$unsorted)) % 0.61/0.83 (define @t35 () (tptp.iext tptp.uri_rdf_rest @t34 tptp.uri_rdf_nil)) % 0.61/0.83 (define @t36 () (tptp.iext tptp.uri_rdf_first @t34 @t32)) % 0.61/0.83 (define @t37 () (tptp.iext tptp.uri_rdf_rest @t25 @t34)) % 0.61/0.83 (define @t38 () (and @t29 @t28 @t27 @t37 @t36 @t35)) % 0.61/0.83 (define @t39 () (forall (@list @t7 @t23 @t18 @t25 @t16 @t34 @t32) (=> @t38 @t33))) % 0.61/0.83 (define @t40 () (forall @t9 (=> @t19 @t17))) % 0.61/0.83 (define @t41 () (and @t22 @t21 @t40)) % 0.61/0.83 (define @t42 () (tptp.iext tptp.uri_rdfs_subClassOf @t18 @t16)) % 0.61/0.83 (define @t43 () (= @t42 @t41)) % 0.61/0.83 (define @t44 () (@list @t18 @t16)) % 0.61/0.83 (define @t45 () (forall @t44 @t43)) % 0.61/0.83 (define @t46 () (forall @t9 (not @t20))) % 0.61/0.83 (define @t47 () (and @t22 @t21 @t46)) % 0.61/0.83 (define @t48 () (tptp.iext tptp.uri_owl_disjointWith @t18 @t16)) % 0.61/0.83 (define @t49 () (= @t48 @t47)) % 0.61/0.83 (define @t50 () (forall @t44 @t49)) % 0.61/0.83 (define @t51 () (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_ex_d tptp.uri_ex_c3)) % 0.61/0.83 (define @t52 () (@var "BNODE_xc" $$unsorted)) % 0.61/0.83 (define @t53 () (tptp.iext tptp.uri_owl_complementOf @t52 tptp.uri_ex_c2)) % 0.61/0.83 (define @t54 () (@var "BNODE_li2" $$unsorted)) % 0.61/0.83 (define @t55 () (tptp.iext tptp.uri_rdf_rest @t54 tptp.uri_rdf_nil)) % 0.61/0.83 (define @t56 () (tptp.iext tptp.uri_rdf_first @t54 @t52)) % 0.61/0.83 (define @t57 () (@var "BNODE_li1" $$unsorted)) % 0.61/0.83 (define @t58 () (tptp.iext tptp.uri_rdf_rest @t57 @t54)) % 0.61/0.83 (define @t59 () (tptp.iext tptp.uri_rdf_first @t57 tptp.uri_ex_c)) % 0.61/0.83 (define @t60 () (@var "BNODE_xs" $$unsorted)) % 0.61/0.83 (define @t61 () (tptp.iext tptp.uri_owl_intersectionOf @t60 @t57)) % 0.61/0.83 (define @t62 () (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_ex_d @t60)) % 0.61/0.83 (define @t63 () (tptp.iext tptp.uri_owl_disjointWith tptp.uri_ex_d tptp.uri_ex_c1)) % 0.61/0.83 (define @t64 () (@var "BNODE_lu3" $$unsorted)) % 0.61/0.83 (define @t65 () (tptp.iext tptp.uri_rdf_rest @t64 tptp.uri_rdf_nil)) % 0.61/0.83 (define @t66 () (tptp.iext tptp.uri_rdf_first @t64 tptp.uri_ex_c3)) % 0.61/0.83 (define @t67 () (@var "BNODE_lu2" $$unsorted)) % 0.61/0.83 (define @t68 () (tptp.iext tptp.uri_rdf_rest @t67 @t64)) % 0.61/0.83 (define @t69 () (tptp.iext tptp.uri_rdf_first @t67 tptp.uri_ex_c2)) % 0.61/0.83 (define @t70 () (@var "BNODE_lu1" $$unsorted)) % 0.61/0.83 (define @t71 () (tptp.iext tptp.uri_rdf_rest @t70 @t67)) % 0.61/0.83 (define @t72 () (tptp.iext tptp.uri_rdf_first @t70 tptp.uri_ex_c1)) % 0.61/0.83 (define @t73 () (tptp.iext tptp.uri_owl_unionOf tptp.uri_ex_c @t70)) % 0.61/0.83 (define @t74 () (and @t73 @t72 @t71 @t69 @t68 @t66 @t65 @t63 @t62 @t61 @t59 @t58 @t56 @t55 @t53)) % 0.61/0.83 (define @t75 () (@list @t60 @t52 @t70 @t67 @t64 @t57 @t54)) % 0.61/0.83 (define @t76 () (exists @t75 @t74)) % 0.61/0.83 (define @t77 () (not @t53)) % 0.61/0.83 (define @t78 () (not @t55)) % 0.61/0.83 (define @t79 () (not @t56)) % 0.61/0.83 (define @t80 () (not @t58)) % 0.61/0.83 (define @t81 () (not @t59)) % 0.61/0.83 (define @t82 () (not @t61)) % 0.61/0.83 (define @t83 () (not @t62)) % 0.61/0.83 (define @t84 () (or @t83 @t82 @t81 @t80 @t79 @t78 @t77)) % 0.61/0.83 (define @t85 () (forall (@list @t60 @t52 @t57 @t54) @t84)) % 0.61/0.83 (define @t86 () (not @t65)) % 0.61/0.83 (define @t87 () (not @t66)) % 0.61/0.83 (define @t88 () (not @t68)) % 0.61/0.83 (define @t89 () (not @t69)) % 0.61/0.83 (define @t90 () (not @t71)) % 0.61/0.83 (define @t91 () (not @t72)) % 0.61/0.83 (define @t92 () (not @t73)) % 0.61/0.83 (define @t93 () (or @t92 @t91 @t90 @t89 @t88 @t87 @t86)) % 0.61/0.83 (define @t94 () (forall (@list @t70 @t67 @t64) @t93)) % 0.61/0.83 (define @t95 () (not @t63)) % 0.61/0.83 (define @t96 () (or @t95 @t93 @t84)) % 0.61/0.83 (define @t97 () (@list @t70 @t67 @t64 @t60 @t52 @t57 @t54)) % 0.61/0.83 (define @t98 () (or @t92 @t91 @t90 @t89 @t88 @t87 @t86 @t95 @t83 @t82 @t81 @t80 @t79 @t78 @t77)) % 0.61/0.83 (define @t99 () (forall @t97 @t98)) % 0.61/0.83 (define @t100 () (forall @t75 (not @t74))) % 0.61/0.83 (define @t101 () (not @t100)) % 0.61/0.83 (define @t102 () (@quantifiers_skolemize @t85 1)) % 0.61/0.83 (define @t103 () (tptp.iext tptp.uri_owl_complementOf @t102 tptp.uri_ex_c2)) % 0.61/0.83 (define @t104 () (not @t103)) % 0.61/0.83 (define @t105 () (@quantifiers_skolemize @t85 3)) % 0.61/0.83 (define @t106 () (tptp.iext tptp.uri_rdf_rest @t105 tptp.uri_rdf_nil)) % 0.61/0.83 (define @t107 () (not @t106)) % 0.61/0.83 (define @t108 () (tptp.iext tptp.uri_rdf_first @t105 @t102)) % 0.61/0.83 (define @t109 () (not @t108)) % 0.61/0.83 (define @t110 () (@quantifiers_skolemize @t85 2)) % 0.61/0.83 (define @t111 () (tptp.iext tptp.uri_rdf_rest @t110 @t105)) % 0.61/0.83 (define @t112 () (not @t111)) % 0.61/0.83 (define @t113 () (tptp.iext tptp.uri_rdf_first @t110 tptp.uri_ex_c)) % 0.61/0.83 (define @t114 () (not @t113)) % 0.61/0.83 (define @t115 () (@quantifiers_skolemize @t85 0)) % 0.61/0.83 (define @t116 () (tptp.iext tptp.uri_owl_intersectionOf @t115 @t110)) % 0.61/0.83 (define @t117 () (not @t116)) % 0.61/0.83 (define @t118 () (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_ex_d @t115)) % 0.61/0.83 (define @t119 () (not @t118)) % 0.61/0.83 (define @t120 () (or @t119 @t117 @t114 @t112 @t109 @t107 @t104)) % 0.61/0.83 (define @t121 () (@list true)) % 0.61/0.83 (define @t122 () (@list @t120)) % 0.61/0.83 (define @t123 () (@var "BOUND_VARIABLE_7536" $$unsorted)) % 0.61/0.83 (define @t124 () (= (tptp.icext @t7 @t123) (not (tptp.icext @t6 @t123)))) % 0.61/0.83 (define @t125 () (and @t11 @t10 @t124)) % 0.61/0.83 (define @t126 () (not @t13)) % 0.61/0.83 (define @t127 () (or @t126 @t125)) % 0.61/0.83 (define @t128 () (forall (@list @t7 @t6 @t123) @t127)) % 0.61/0.83 (define @t129 () (@list @t123)) % 0.61/0.83 (define @t130 () (forall @t129 @t127)) % 0.61/0.83 (define @t131 () (forall @t129 @t124)) % 0.61/0.83 (define @t132 () (forall @t129 @t10)) % 0.61/0.83 (define @t133 () (forall @t129 @t11)) % 0.61/0.83 (define @t134 () (and @t133 @t132 @t131)) % 0.61/0.83 (define @t135 () (forall @t129 @t125)) % 0.61/0.83 (define @t136 () (or @t126 @t135)) % 0.61/0.83 (define @t137 () (tptp.icext tptp.uri_ex_c3 @t2)) % 0.61/0.83 (define @t138 () (not (tptp.icext tptp.uri_ex_d @t2))) % 0.61/0.83 (define @t139 () (forall @t9 (or @t138 @t137))) % 0.61/0.83 (define @t140 () (@quantifiers_skolemize @t139 0)) % 0.61/0.83 (define @t141 () (tptp.icext @t102 @t140)) % 0.61/0.83 (define @t142 () (tptp.icext tptp.uri_ex_c2 @t140)) % 0.61/0.83 (define @t143 () (not @t142)) % 0.61/0.83 (define @t144 () (tptp.ic tptp.uri_ex_c2)) % 0.61/0.83 (define @t145 () (tptp.ic @t102)) % 0.61/0.83 (define @t146 () (and @t145 @t144 (= @t141 @t143))) % 0.61/0.83 (define @t147 () (or @t104 @t146)) % 0.61/0.83 (define @t148 () (= @t143 @t141)) % 0.61/0.83 (define @t149 () (and @t145 @t144 @t148)) % 0.61/0.83 (define @t150 () (or @t104 @t149)) % 0.61/0.83 (define @t151 () (@list false)) % 0.61/0.83 (define @t152 () (not @t26)) % 0.61/0.83 (define @t153 () (not @t27)) % 0.61/0.83 (define @t154 () (not @t28)) % 0.61/0.83 (define @t155 () (not @t29)) % 0.61/0.83 (define @t156 () (or @t155 @t154 @t153 @t152)) % 0.61/0.83 (define @t157 () (tptp.icext tptp.uri_ex_c @t2)) % 0.61/0.83 (define @t158 () (tptp.icext @t115 @t2)) % 0.61/0.83 (define @t159 () (forall @t9 (= @t158 (and @t157 (tptp.icext @t102 @t2))))) % 0.61/0.83 (define @t160 () (tptp.ic tptp.uri_ex_c)) % 0.61/0.83 (define @t161 () (tptp.ic @t115)) % 0.61/0.83 (define @t162 () (and @t161 @t160 @t145 @t159)) % 0.61/0.83 (define @t163 () (= @t116 @t162)) % 0.61/0.83 (define @t164 () (or @t114 @t112 @t109 @t107 @t163)) % 0.61/0.83 (define @t165 () (@list false false)) % 0.61/0.83 (define @t166 () (@list @t140)) % 0.61/0.83 (define @t167 () (forall @t9 (or @t138 @t158))) % 0.61/0.83 (define @t168 () (tptp.ic tptp.uri_ex_d)) % 0.61/0.83 (define @t169 () (and @t168 @t161 @t167)) % 0.61/0.83 (define @t170 () (= @t118 @t169)) % 0.61/0.83 (define @t171 () (not @t35)) % 0.61/0.83 (define @t172 () (not @t36)) % 0.61/0.83 (define @t173 () (not @t37)) % 0.61/0.83 (define @t174 () (or @t155 @t154 @t153 @t173 @t172 @t171)) % 0.61/0.83 (define @t175 () (@quantifiers_skolemize @t94 2)) % 0.61/0.83 (define @t176 () (@quantifiers_skolemize @t94 1)) % 0.61/0.83 (define @t177 () (@quantifiers_skolemize @t94 0)) % 0.61/0.83 (define @t178 () (tptp.iext tptp.uri_rdf_rest @t175 tptp.uri_rdf_nil)) % 0.61/0.83 (define @t179 () (not @t178)) % 0.61/0.83 (define @t180 () (tptp.iext tptp.uri_rdf_first @t175 tptp.uri_ex_c3)) % 0.61/0.83 (define @t181 () (not @t180)) % 0.61/0.83 (define @t182 () (tptp.iext tptp.uri_rdf_rest @t176 @t175)) % 0.61/0.83 (define @t183 () (not @t182)) % 0.61/0.83 (define @t184 () (tptp.iext tptp.uri_rdf_first @t176 tptp.uri_ex_c2)) % 0.61/0.83 (define @t185 () (not @t184)) % 0.61/0.83 (define @t186 () (tptp.iext tptp.uri_rdf_rest @t177 @t176)) % 0.61/0.83 (define @t187 () (not @t186)) % 0.61/0.83 (define @t188 () (tptp.iext tptp.uri_rdf_first @t177 tptp.uri_ex_c1)) % 0.61/0.83 (define @t189 () (not @t188)) % 0.61/0.83 (define @t190 () (tptp.iext tptp.uri_owl_unionOf tptp.uri_ex_c @t177)) % 0.61/0.83 (define @t191 () (not @t190)) % 0.61/0.83 (define @t192 () (or @t191 @t189 @t187 @t185 @t183 @t181 @t179)) % 0.61/0.83 (define @t193 () (@list @t192)) % 0.61/0.83 (define @t194 () (tptp.icext tptp.uri_ex_c1 @t2)) % 0.61/0.83 (define @t195 () (forall @t9 (= @t157 (or @t194 (tptp.icext tptp.uri_ex_c2 @t2) @t137)))) % 0.61/0.83 (define @t196 () (tptp.ic tptp.uri_ex_c3)) % 0.61/0.83 (define @t197 () (tptp.ic tptp.uri_ex_c1)) % 0.61/0.83 (define @t198 () (and @t160 @t197 @t144 @t196 @t195)) % 0.61/0.83 (define @t199 () (= @t190 @t198)) % 0.61/0.83 (define @t200 () (or @t189 @t187 @t185 @t183 @t181 @t179 @t199)) % 0.61/0.83 (define @t201 () (not @t198)) % 0.61/0.83 (define @t202 () (@list @t198)) % 0.61/0.83 (define @t203 () (@list tptp.uri_ex_d tptp.uri_ex_c1)) % 0.61/0.83 (define @t204 () (and @t168 @t197)) % 0.61/0.83 (define @t205 () (or @t95 @t204)) % 0.61/0.83 (define @t206 () (and @t168 @t196 @t139)) % 0.61/0.83 (define @t207 () (= @t51 @t206)) % 0.61/0.83 (define @t208 () (not @t206)) % 0.61/0.83 (define @t209 () (@list true false false)) % 0.61/0.83 (define @t210 () (tptp.icext tptp.uri_ex_d @t140)) % 0.61/0.83 (define @t211 () (tptp.icext tptp.uri_ex_c3 @t140)) % 0.61/0.83 (define @t212 () (not @t210)) % 0.61/0.83 (define @t213 () (or @t212 @t211)) % 0.61/0.83 (define @t214 () (@list @t213)) % 0.61/0.83 (define @t215 () (tptp.icext @t115 @t140)) % 0.61/0.83 (define @t216 () (or @t212 @t215)) % 0.61/0.83 (define @t217 () (tptp.icext tptp.uri_ex_c @t140)) % 0.61/0.83 (define @t218 () (and @t217 @t141)) % 0.61/0.83 (define @t219 () (= @t215 @t218)) % 0.61/0.83 (define @t220 () (not @t218)) % 0.61/0.83 (define @t221 () (@list @t218)) % 0.61/0.83 (define @t222 () (tptp.icext tptp.uri_ex_c1 @t140)) % 0.61/0.83 (define @t223 () (or @t222 @t142 @t211)) % 0.61/0.83 (define @t224 () (= @t217 @t223)) % 0.61/0.83 (define @t225 () (forall @t9 (or @t138 (not @t194)))) % 0.61/0.83 (define @t226 () (and @t168 @t197 @t225)) % 0.61/0.83 (define @t227 () (= @t63 @t226)) % 0.61/0.83 (define @t228 () (not @t222)) % 0.61/0.83 (define @t229 () (or @t212 @t228)) % 0.61/0.83 (define @t230 () (not @t148)) % 0.61/0.83 (define @t231 () (not @t149)) % 0.61/0.83 (assume @p1 @t5) % 0.61/0.83 (assume @p2 @t15) % 0.61/0.83 (assume @p3 @t31) % 0.61/0.83 (assume @p4 @t39) % 0.61/0.83 (assume @p5 @t45) % 0.61/0.83 (assume @p6 @t50) % 0.61/0.83 (assume @p7 (not @t51)) % 0.61/0.83 (assume @p8 @t76) % 0.61/0.83 (assume @p9 true) % 0.61/0.83 (step @p10 :rule quant-miniscope-or :args ((= (forall @t97 @t96) (or @t95 @t94 @t85)))) % 0.61/0.83 (step @p11 :rule aci_norm :args ((= @t98 @t96))) % 0.61/0.83 (step @p12 :rule cong :premises (@p11) :args (@t99)) % 0.61/0.83 (step @p13 :rule quant_var_reordering :args ((= (forall @t75 @t98) @t99))) % 0.61/0.83 (step @p14 :rule trans :premises (@p13 @p12 @p10)) % 0.61/0.83 (step @p15 :rule aci_norm :args ((= (or @t92 (or @t91 (or @t90 (or @t89 (or @t88 (or @t87 (or @t86 (or @t95 (or @t83 (or @t82 (or @t81 (or @t80 (or @t79 (or @t78 @t77)))))))))))))) @t98))) % 0.61/0.83 (step @p16 :rule bool-and-de-morgan :args (@t55 @t53 true)) % 0.61/0.83 (step @p17 :rule refl :args (@t79)) % 0.61/0.83 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or @t79 (not (and @t55 @t53))))) % 0.61/0.83 (step @p19 :rule bool-and-de-morgan :args (@t56 @t55 (and @t53))) % 0.61/0.83 (step @p20 :rule trans :premises (@p19 @p18)) % 0.61/0.83 (step @p21 :rule refl :args (@t80)) % 0.61/0.83 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t80 (not (and @t56 @t55 @t53))))) % 0.61/0.83 (step @p23 :rule bool-and-de-morgan :args (@t58 @t56 (and @t55 @t53))) % 0.61/0.83 (step @p24 :rule trans :premises (@p23 @p22)) % 0.61/0.83 (step @p25 :rule refl :args (@t81)) % 0.61/0.83 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or @t81 (not (and @t58 @t56 @t55 @t53))))) % 0.61/0.83 (step @p27 :rule bool-and-de-morgan :args (@t59 @t58 (and @t56 @t55 @t53))) % 0.61/0.83 (step @p28 :rule trans :premises (@p27 @p26)) % 0.61/0.83 (step @p29 :rule refl :args (@t82)) % 0.61/0.83 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t82 (not (and @t59 @t58 @t56 @t55 @t53))))) % 0.61/0.83 (step @p31 :rule bool-and-de-morgan :args (@t61 @t59 (and @t58 @t56 @t55 @t53))) % 0.61/0.83 (step @p32 :rule trans :premises (@p31 @p30)) % 0.61/0.83 (step @p33 :rule refl :args (@t83)) % 0.61/0.83 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t83 (not (and @t61 @t59 @t58 @t56 @t55 @t53))))) % 0.61/0.83 (step @p35 :rule bool-and-de-morgan :args (@t62 @t61 (and @t59 @t58 @t56 @t55 @t53))) % 0.61/0.83 (step @p36 :rule trans :premises (@p35 @p34)) % 0.61/0.83 (step @p37 :rule refl :args (@t95)) % 0.61/0.83 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t95 (not (and @t62 @t61 @t59 @t58 @t56 @t55 @t53))))) % 0.61/0.83 (step @p39 :rule bool-and-de-morgan :args (@t63 @t62 (and @t61 @t59 @t58 @t56 @t55 @t53))) % 0.61/0.83 (step @p40 :rule trans :premises (@p39 @p38)) % 0.61/0.83 (step @p41 :rule refl :args (@t86)) % 0.61/0.83 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t86 (not (and @t63 @t62 @t61 @t59 @t58 @t56 @t55 @t53))))) % 0.61/0.83 (step @p43 :rule bool-and-de-morgan :args (@t65 @t63 (and @t62 @t61 @t59 @t58 @t56 @t55 @t53))) % 0.61/0.83 (step @p44 :rule trans :premises (@p43 @p42)) % 0.61/0.83 (step @p45 :rule refl :args (@t87)) % 0.61/0.83 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t87 (not (and @t65 @t63 @t62 @t61 @t59 @t58 @t56 @t55 @t53))))) % 0.61/0.83 (step @p47 :rule bool-and-de-morgan :args (@t66 @t65 (and @t63 @t62 @t61 @t59 @t58 @t56 @t55 @t53))) % 0.61/0.83 (step @p48 :rule trans :premises (@p47 @p46)) % 0.61/0.83 (step @p49 :rule refl :args (@t88)) % 0.61/0.83 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t88 (not (and @t66 @t65 @t63 @t62 @t61 @t59 @t58 @t56 @t55 @t53))))) % 0.61/0.83 (step @p51 :rule bool-and-de-morgan :args (@t68 @t66 (and @t65 @t63 @t62 @t61 @t59 @t58 @t56 @t55 @t53))) % 0.61/0.83 (step @p52 :rule trans :premises (@p51 @p50)) % 0.61/0.83 (step @p53 :rule refl :args (@t89)) % 0.61/0.83 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t89 (not (and @t68 @t66 @t65 @t63 @t62 @t61 @t59 @t58 @t56 @t55 @t53))))) % 0.61/0.83 (step @p55 :rule bool-and-de-morgan :args (@t69 @t68 (and @t66 @t65 @t63 @t62 @t61 @t59 @t58 @t56 @t55 @t53))) % 0.61/0.83 (step @p56 :rule trans :premises (@p55 @p54)) % 0.61/0.83 (step @p57 :rule refl :args (@t90)) % 0.61/0.83 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t90 (not (and @t69 @t68 @t66 @t65 @t63 @t62 @t61 @t59 @t58 @t56 @t55 @t53))))) % 0.61/0.83 (step @p59 :rule bool-and-de-morgan :args (@t71 @t69 (and @t68 @t66 @t65 @t63 @t62 @t61 @t59 @t58 @t56 @t55 @t53))) % 0.61/0.83 (step @p60 :rule trans :premises (@p59 @p58)) % 0.61/0.83 (step @p61 :rule refl :args (@t91)) % 0.61/0.83 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t91 (not (and @t71 @t69 @t68 @t66 @t65 @t63 @t62 @t61 @t59 @t58 @t56 @t55 @t53))))) % 0.61/0.83 (step @p63 :rule bool-and-de-morgan :args (@t72 @t71 (and @t69 @t68 @t66 @t65 @t63 @t62 @t61 @t59 @t58 @t56 @t55 @t53))) % 0.61/0.83 (step @p64 :rule trans :premises (@p63 @p62)) % 0.61/0.83 (step @p65 :rule refl :args (@t92)) % 0.61/0.83 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t92 (not (and @t72 @t71 @t69 @t68 @t66 @t65 @t63 @t62 @t61 @t59 @t58 @t56 @t55 @t53))))) % 0.61/0.83 (step @p67 :rule bool-and-de-morgan :args (@t73 @t72 (and @t71 @t69 @t68 @t66 @t65 @t63 @t62 @t61 @t59 @t58 @t56 @t55 @t53))) % 0.61/0.83 (step @p68 :rule trans :premises (@p67 @p66)) % 0.61/0.83 (step @p69 :rule trans :premises (@p68 @p15)) % 0.61/0.83 (step @p70 :rule cong :premises (@p69) :args (@t100)) % 0.61/0.83 (step @p71 :rule trans :premises (@p70 @p14)) % 0.61/0.83 (step @p72 :rule cong :premises (@p71) :args (@t101)) % 0.61/0.83 (step @p73 :rule exists-elim :args ((= @t76 @t101))) % 0.61/0.83 (step @p74 :rule trans :premises (@p73 @p72)) % 0.61/0.83 (step @p75 :rule eq_resolve :premises (@p8 @p74)) % 0.61/0.83 (step @p76 :rule not_or_elim :premises (@p75) :args (2)) % 0.61/0.83 (step @p77 :rule skolemize :premises (@p76)) % 0.61/0.83 (step @p78 :rule bool-double-not-elim :args (@t103)) % 0.61/0.83 (step @p79 :rule refl :args (@t120)) % 0.61/0.83 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t120 (not @t104)))) % 0.61/0.83 (step @p81 :rule cnf_or_neg :args (@t120 6)) % 0.61/0.83 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.61/0.83 (step @p83 :rule reordering :premises (@p82) :args ((or @t103 @t120))) % 0.61/0.83 (step @p84 :rule chain_m_resolution :premises (@p83 @p77) :args (@t103 @t121 @t122)) % 0.61/0.83 (step @p85 :rule quant-merge-prenex :args ((= (forall @t14 @t130) @t128))) % 0.61/0.83 (step @p86 :rule alpha_equiv :args (@t131 (@list @t123) (@list @t2))) % 0.61/0.83 (step @p87 :rule quant-unused-vars :args ((= @t132 @t10))) % 0.61/0.83 (step @p88 :rule quant-unused-vars :args ((= @t133 @t11))) % 0.61/0.83 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86) :args (@t134)) % 0.61/0.83 (step @p90 :rule quant-miniscope-and :args ((= @t135 @t134))) % 0.61/0.83 (step @p91 :rule trans :premises (@p90 @p89)) % 0.61/0.83 (step @p92 :rule refl :args (@t126)) % 0.61/0.83 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t136)) % 0.61/0.83 (step @p94 :rule quant-miniscope-or :args ((= @t130 @t136))) % 0.61/0.83 (step @p95 :rule trans :premises (@p94 @p93)) % 0.61/0.83 (step @p96 :rule symm :premises (@p95)) % 0.61/0.83 (step @p97 :rule cong :premises (@p96) :args ((forall @t14 (or @t126 @t12)))) % 0.61/0.83 (step @p98 :rule trans :premises (@p97 @p85)) % 0.61/0.83 (step @p99 :rule bool-impl-elim :args (@t13 @t12)) % 0.61/0.83 (step @p100 :rule cong :premises (@p99) :args (@t15)) % 0.61/0.83 (step @p101 :rule trans :premises (@p100 @p98)) % 0.61/0.83 (step @p102 :rule eq_resolve :premises (@p2 @p101)) % 0.61/0.83 (step @p103 :rule eq-symm :args (@t141 @t143)) % 0.61/0.83 (step @p104 :rule refl :args (@t144)) % 0.61/0.83 (step @p105 :rule refl :args (@t145)) % 0.61/0.83 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103) :args (@t146)) % 0.61/0.83 (step @p107 :rule refl :args (@t104)) % 0.61/0.83 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t147)) % 0.61/0.83 (step @p109 :rule refl :args (@t128)) % 0.61/0.83 (step @p110 :rule cong :premises (@p109 @p108) :args ((=> @t128 @t147))) % 0.61/0.83 (assume-push @p358 @t128) % 0.61/0.83 (step @p112 :rule instantiate :premises (@p102) :args ((@list @t102 tptp.uri_ex_c2 @t140))) % 0.61/0.83 (step-pop @p359 :rule scope :premises (@p112)) % 0.61/0.83 (step @p113 :rule process_scope :premises (@p359) :args (@t147)) % 0.61/0.83 (step @p115 :rule eq_resolve :premises (@p113 @p110)) % 0.61/0.83 (step @p116 :rule implies_elim :premises (@p115)) % 0.61/0.83 (step @p117 :rule chain_m_resolution :premises (@p116 @p102) :args (@t150 @t151 (@list @t128))) % 0.61/0.83 (step @p118 :rule aci_norm :args ((= (or @t156 @t24) (or @t155 @t154 @t153 @t152 @t24)))) % 0.61/0.83 (step @p119 :rule refl :args (@t24)) % 0.61/0.83 (step @p120 :rule aci_norm :args ((= (or @t155 (or @t154 (or @t153 @t152))) @t156))) % 0.61/0.83 (step @p121 :rule bool-and-de-morgan :args (@t27 @t26 true)) % 0.61/0.83 (step @p122 :rule refl :args (@t154)) % 0.61/0.83 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or @t154 (not (and @t27 @t26))))) % 0.61/0.83 (step @p124 :rule bool-and-de-morgan :args (@t28 @t27 (and @t26))) % 0.61/0.83 (step @p125 :rule trans :premises (@p124 @p123)) % 0.61/0.83 (step @p126 :rule refl :args (@t155)) % 0.61/0.83 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t155 (not (and @t28 @t27 @t26))))) % 0.61/0.83 (step @p128 :rule bool-and-de-morgan :args (@t29 @t28 (and @t27 @t26))) % 0.61/0.83 (step @p129 :rule trans :premises (@p128 @p127)) % 0.61/0.83 (step @p130 :rule trans :premises (@p129 @p120)) % 0.61/0.83 (step @p131 :rule nary_cong :premises (@p130 @p119) :args ((or (not @t30) @t24))) % 0.61/0.83 (step @p132 :rule trans :premises (@p131 @p118)) % 0.61/0.83 (step @p133 :rule bool-impl-elim :args (@t30 @t24)) % 0.61/0.83 (step @p134 :rule trans :premises (@p133 @p132)) % 0.61/0.83 (step @p135 :rule cong :premises (@p134) :args (@t31)) % 0.61/0.83 (step @p136 :rule eq_resolve :premises (@p3 @p135)) % 0.61/0.83 (step @p137 :rule instantiate :premises (@p136) :args ((@list @t115 @t110 tptp.uri_ex_c @t105 @t102))) % 0.61/0.83 (step @p138 :rule bool-double-not-elim :args (@t106)) % 0.61/0.83 (step @p139 :rule nary_cong :premises (@p79 @p138) :args ((or @t120 (not @t107)))) % 0.61/0.83 (step @p140 :rule cnf_or_neg :args (@t120 5)) % 0.61/0.83 (step @p141 :rule eq_resolve :premises (@p140 @p139)) % 0.61/0.83 (step @p142 :rule reordering :premises (@p141) :args ((or @t106 @t120))) % 0.61/0.83 (step @p143 :rule chain_m_resolution :premises (@p142 @p77) :args (@t106 @t121 @t122)) % 0.61/0.83 (step @p144 :rule bool-double-not-elim :args (@t108)) % 0.61/0.83 (step @p145 :rule nary_cong :premises (@p79 @p144) :args ((or @t120 (not @t109)))) % 0.61/0.83 (step @p146 :rule cnf_or_neg :args (@t120 4)) % 0.61/0.83 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 0.61/0.83 (step @p148 :rule reordering :premises (@p147) :args ((or @t108 @t120))) % 0.61/0.83 (step @p149 :rule chain_m_resolution :premises (@p148 @p77) :args (@t108 @t121 @t122)) % 0.61/0.83 (step @p150 :rule bool-double-not-elim :args (@t111)) % 0.61/0.83 (step @p151 :rule nary_cong :premises (@p79 @p150) :args ((or @t120 (not @t112)))) % 0.61/0.83 (step @p152 :rule cnf_or_neg :args (@t120 3)) % 0.61/0.83 (step @p153 :rule eq_resolve :premises (@p152 @p151)) % 0.61/0.83 (step @p154 :rule reordering :premises (@p153) :args ((or @t111 @t120))) % 0.61/0.83 (step @p155 :rule chain_m_resolution :premises (@p154 @p77) :args (@t111 @t121 @t122)) % 0.61/0.83 (step @p156 :rule bool-double-not-elim :args (@t113)) % 0.61/0.83 (step @p157 :rule nary_cong :premises (@p79 @p156) :args ((or @t120 (not @t114)))) % 0.61/0.83 (step @p158 :rule cnf_or_neg :args (@t120 2)) % 0.61/0.83 (step @p159 :rule eq_resolve :premises (@p158 @p157)) % 0.61/0.83 (step @p160 :rule reordering :premises (@p159) :args ((or @t113 @t120))) % 0.61/0.83 (step @p161 :rule chain_m_resolution :premises (@p160 @p77) :args (@t113 @t121 @t122)) % 0.61/0.83 (step @p162 :rule cnf_or_pos :args (@t164)) % 0.61/0.83 (step @p163 :rule reordering :premises (@p162) :args ((or @t114 @t112 @t109 @t107 @t163 (not @t164)))) % 0.61/0.83 (step @p164 :rule chain_m_resolution :premises (@p163 @p161 @p155 @p149 @p143 @p137) :args (@t163 (@list false false false false false) (@list @t113 @t111 @t108 @t106 @t164))) % 0.61/0.83 (step @p165 :rule bool-double-not-elim :args (@t116)) % 0.61/0.83 (step @p166 :rule nary_cong :premises (@p79 @p165) :args ((or @t120 (not @t117)))) % 0.61/0.83 (step @p167 :rule cnf_or_neg :args (@t120 1)) % 0.61/0.83 (step @p168 :rule eq_resolve :premises (@p167 @p166)) % 0.61/0.83 (step @p169 :rule reordering :premises (@p168) :args ((or @t116 @t120))) % 0.61/0.83 (step @p170 :rule chain_m_resolution :premises (@p169 @p77) :args (@t116 @t121 @t122)) % 0.61/0.83 (step @p171 :rule cnf_equiv_pos1 :args (@t163)) % 0.61/0.83 (step @p172 :rule reordering :premises (@p171) :args ((or @t117 @t162 (not @t163)))) % 0.61/0.83 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p164) :args (@t162 @t165 (@list @t116 @t163))) % 0.61/0.83 (step @p174 :rule cnf_and_pos :args (@t162 3)) % 0.61/0.83 (step @p175 :rule reordering :premises (@p174) :args ((or @t159 (not @t162)))) % 0.61/0.83 (step @p176 :rule chain_m_resolution :premises (@p175 @p173) :args (@t159 @t151 (@list @t162))) % 0.61/0.83 (step @p177 :rule instantiate :premises (@p176) :args (@t166)) % 0.61/0.83 (step @p178 :rule bool-impl-elim :args (@t19 @t17)) % 0.61/0.83 (step @p179 :rule cong :premises (@p178) :args (@t40)) % 0.61/0.83 (step @p180 :rule refl :args (@t21)) % 0.61/0.83 (step @p181 :rule refl :args (@t22)) % 0.61/0.83 (step @p182 :rule nary_cong :premises (@p181 @p180 @p179) :args (@t41)) % 0.61/0.83 (step @p183 :rule refl :args (@t42)) % 0.61/0.83 (step @p184 :rule cong :premises (@p183 @p182) :args (@t43)) % 0.61/0.83 (step @p185 :rule cong :premises (@p184) :args (@t45)) % 0.61/0.83 (step @p186 :rule eq_resolve :premises (@p5 @p185)) % 0.61/0.83 (step @p187 :rule instantiate :premises (@p186) :args ((@list tptp.uri_ex_d @t115))) % 0.61/0.83 (step @p188 :rule bool-double-not-elim :args (@t118)) % 0.61/0.83 (step @p189 :rule nary_cong :premises (@p79 @p188) :args ((or @t120 (not @t119)))) % 0.61/0.83 (step @p190 :rule cnf_or_neg :args (@t120 0)) % 0.61/0.83 (step @p191 :rule eq_resolve :premises (@p190 @p189)) % 0.61/0.83 (step @p192 :rule reordering :premises (@p191) :args ((or @t118 @t120))) % 0.61/0.83 (step @p193 :rule chain_m_resolution :premises (@p192 @p77) :args (@t118 @t121 @t122)) % 0.61/0.83 (step @p194 :rule cnf_equiv_pos1 :args (@t170)) % 0.61/0.83 (step @p195 :rule reordering :premises (@p194) :args ((or @t119 @t169 (not @t170)))) % 0.61/0.83 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p187) :args (@t169 @t165 (@list @t118 @t170))) % 0.61/0.83 (step @p197 :rule cnf_and_pos :args (@t169 2)) % 0.61/0.83 (step @p198 :rule reordering :premises (@p197) :args ((or @t167 (not @t169)))) % 0.61/0.83 (step @p199 :rule chain_m_resolution :premises (@p198 @p196) :args (@t167 @t151 (@list @t169))) % 0.61/0.83 (step @p200 :rule instantiate :premises (@p199) :args (@t166)) % 0.61/0.83 (step @p201 :rule aci_norm :args ((= (or @t174 @t33) (or @t155 @t154 @t153 @t173 @t172 @t171 @t33)))) % 0.61/0.83 (step @p202 :rule refl :args (@t33)) % 0.61/0.83 (step @p203 :rule aci_norm :args ((= (or @t155 (or @t154 (or @t153 (or @t173 (or @t172 @t171))))) @t174))) % 0.61/0.83 (step @p204 :rule bool-and-de-morgan :args (@t36 @t35 true)) % 0.61/0.83 (step @p205 :rule refl :args (@t173)) % 0.61/0.83 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or @t173 (not (and @t36 @t35))))) % 0.61/0.83 (step @p207 :rule bool-and-de-morgan :args (@t37 @t36 (and @t35))) % 0.61/0.83 (step @p208 :rule trans :premises (@p207 @p206)) % 0.61/0.83 (step @p209 :rule refl :args (@t153)) % 0.61/0.83 (step @p210 :rule nary_cong :premises (@p209 @p208) :args ((or @t153 (not (and @t37 @t36 @t35))))) % 0.61/0.83 (step @p211 :rule bool-and-de-morgan :args (@t27 @t37 (and @t36 @t35))) % 0.61/0.83 (step @p212 :rule trans :premises (@p211 @p210)) % 0.61/0.83 (step @p213 :rule nary_cong :premises (@p122 @p212) :args ((or @t154 (not (and @t27 @t37 @t36 @t35))))) % 0.61/0.83 (step @p214 :rule bool-and-de-morgan :args (@t28 @t27 (and @t37 @t36 @t35))) % 0.61/0.83 (step @p215 :rule trans :premises (@p214 @p213)) % 0.61/0.83 (step @p216 :rule nary_cong :premises (@p126 @p215) :args ((or @t155 (not (and @t28 @t27 @t37 @t36 @t35))))) % 0.61/0.83 (step @p217 :rule bool-and-de-morgan :args (@t29 @t28 (and @t27 @t37 @t36 @t35))) % 0.61/0.83 (step @p218 :rule trans :premises (@p217 @p216)) % 0.61/0.83 (step @p219 :rule trans :premises (@p218 @p203)) % 0.61/0.83 (step @p220 :rule nary_cong :premises (@p219 @p202) :args ((or (not @t38) @t33))) % 0.61/0.83 (step @p221 :rule trans :premises (@p220 @p201)) % 0.61/0.83 (step @p222 :rule bool-impl-elim :args (@t38 @t33)) % 0.61/0.83 (step @p223 :rule trans :premises (@p222 @p221)) % 0.61/0.83 (step @p224 :rule cong :premises (@p223) :args (@t39)) % 0.61/0.83 (step @p225 :rule eq_resolve :premises (@p4 @p224)) % 0.61/0.83 (step @p226 :rule instantiate :premises (@p225) :args ((@list tptp.uri_ex_c @t177 tptp.uri_ex_c1 @t176 tptp.uri_ex_c2 @t175 tptp.uri_ex_c3))) % 0.61/0.83 (step @p227 :rule not_or_elim :premises (@p75) :args (1)) % 0.61/0.83 (step @p228 :rule skolemize :premises (@p227)) % 0.61/0.83 (step @p229 :rule bool-double-not-elim :args (@t178)) % 0.61/0.83 (step @p230 :rule refl :args (@t192)) % 0.61/0.83 (step @p231 :rule nary_cong :premises (@p230 @p229) :args ((or @t192 (not @t179)))) % 0.61/0.84 (step @p232 :rule cnf_or_neg :args (@t192 6)) % 0.61/0.84 (step @p233 :rule eq_resolve :premises (@p232 @p231)) % 0.61/0.84 (step @p234 :rule reordering :premises (@p233) :args ((or @t178 @t192))) % 0.61/0.84 (step @p235 :rule chain_m_resolution :premises (@p234 @p228) :args (@t178 @t121 @t193)) % 0.61/0.84 (step @p236 :rule bool-double-not-elim :args (@t180)) % 0.61/0.84 (step @p237 :rule nary_cong :premises (@p230 @p236) :args ((or @t192 (not @t181)))) % 0.61/0.84 (step @p238 :rule cnf_or_neg :args (@t192 5)) % 0.61/0.84 (step @p239 :rule eq_resolve :premises (@p238 @p237)) % 0.61/0.84 (step @p240 :rule reordering :premises (@p239) :args ((or @t180 @t192))) % 0.61/0.84 (step @p241 :rule chain_m_resolution :premises (@p240 @p228) :args (@t180 @t121 @t193)) % 0.61/0.84 (step @p242 :rule bool-double-not-elim :args (@t182)) % 0.61/0.84 (step @p243 :rule nary_cong :premises (@p230 @p242) :args ((or @t192 (not @t183)))) % 0.61/0.84 (step @p244 :rule cnf_or_neg :args (@t192 4)) % 0.61/0.84 (step @p245 :rule eq_resolve :premises (@p244 @p243)) % 0.61/0.84 (step @p246 :rule reordering :premises (@p245) :args ((or @t182 @t192))) % 0.61/0.84 (step @p247 :rule chain_m_resolution :premises (@p246 @p228) :args (@t182 @t121 @t193)) % 0.61/0.84 (step @p248 :rule bool-double-not-elim :args (@t184)) % 0.61/0.84 (step @p249 :rule nary_cong :premises (@p230 @p248) :args ((or @t192 (not @t185)))) % 0.61/0.84 (step @p250 :rule cnf_or_neg :args (@t192 3)) % 0.61/0.84 (step @p251 :rule eq_resolve :premises (@p250 @p249)) % 0.61/0.84 (step @p252 :rule reordering :premises (@p251) :args ((or @t184 @t192))) % 0.61/0.84 (step @p253 :rule chain_m_resolution :premises (@p252 @p228) :args (@t184 @t121 @t193)) % 0.61/0.84 (step @p254 :rule bool-double-not-elim :args (@t186)) % 0.61/0.84 (step @p255 :rule nary_cong :premises (@p230 @p254) :args ((or @t192 (not @t187)))) % 0.61/0.84 (step @p256 :rule cnf_or_neg :args (@t192 2)) % 0.61/0.84 (step @p257 :rule eq_resolve :premises (@p256 @p255)) % 0.61/0.84 (step @p258 :rule reordering :premises (@p257) :args ((or @t186 @t192))) % 0.61/0.84 (step @p259 :rule chain_m_resolution :premises (@p258 @p228) :args (@t186 @t121 @t193)) % 0.61/0.84 (step @p260 :rule bool-double-not-elim :args (@t188)) % 0.61/0.84 (step @p261 :rule nary_cong :premises (@p230 @p260) :args ((or @t192 (not @t189)))) % 0.61/0.84 (step @p262 :rule cnf_or_neg :args (@t192 1)) % 0.61/0.84 (step @p263 :rule eq_resolve :premises (@p262 @p261)) % 0.61/0.84 (step @p264 :rule reordering :premises (@p263) :args ((or @t188 @t192))) % 0.61/0.84 (step @p265 :rule chain_m_resolution :premises (@p264 @p228) :args (@t188 @t121 @t193)) % 0.61/0.84 (step @p266 :rule cnf_or_pos :args (@t200)) % 0.61/0.84 (step @p267 :rule reordering :premises (@p266) :args ((or @t189 @t187 @t185 @t183 @t181 @t179 @t199 (not @t200)))) % 0.61/0.84 (step @p268 :rule chain_m_resolution :premises (@p267 @p265 @p259 @p253 @p247 @p241 @p235 @p226) :args (@t199 (@list false false false false false false false) (@list @t188 @t186 @t184 @t182 @t180 @t178 @t200))) % 0.61/0.84 (step @p269 :rule bool-double-not-elim :args (@t190)) % 0.61/0.84 (step @p270 :rule nary_cong :premises (@p230 @p269) :args ((or @t192 (not @t191)))) % 0.61/0.84 (step @p271 :rule cnf_or_neg :args (@t192 0)) % 0.61/0.84 (step @p272 :rule eq_resolve :premises (@p271 @p270)) % 0.61/0.84 (step @p273 :rule reordering :premises (@p272) :args ((or @t190 @t192))) % 0.61/0.84 (step @p274 :rule chain_m_resolution :premises (@p273 @p228) :args (@t190 @t121 @t193)) % 0.61/0.84 (step @p275 :rule cnf_equiv_pos1 :args (@t199)) % 0.61/0.84 (step @p276 :rule reordering :premises (@p275) :args ((or @t191 @t198 (not @t199)))) % 0.61/0.84 (step @p277 :rule chain_m_resolution :premises (@p276 @p274 @p268) :args (@t198 @t165 (@list @t190 @t199))) % 0.61/0.84 (step @p278 :rule cnf_and_pos :args (@t198 3)) % 0.61/0.84 (step @p279 :rule reordering :premises (@p278) :args ((or @t196 @t201))) % 0.61/0.84 (step @p280 :rule chain_m_resolution :premises (@p279 @p277) :args (@t196 @t151 @t202)) % 0.61/0.84 (step @p281 :rule bool-impl-elim :args (@t4 @t3)) % 0.61/0.84 (step @p282 :rule cong :premises (@p281) :args (@t5)) % 0.61/0.84 (step @p283 :rule eq_resolve :premises (@p1 @p282)) % 0.61/0.84 (step @p284 :rule instantiate :premises (@p283) :args (@t203)) % 0.61/0.84 (step @p285 :rule not_or_elim :premises (@p75) :args (0)) % 0.61/0.84 (step @p286 :rule not_not_elim :premises (@p285)) % 0.61/0.84 (step @p287 :rule cnf_or_pos :args (@t205)) % 0.61/0.84 (step @p288 :rule reordering :premises (@p287) :args ((or @t95 @t204 (not @t205)))) % 0.61/0.84 (step @p289 :rule chain_m_resolution :premises (@p288 @p286 @p284) :args (@t204 @t165 (@list @t63 @t205))) % 0.61/0.84 (step @p290 :rule cnf_and_pos :args (@t204 0)) % 0.61/0.84 (step @p291 :rule reordering :premises (@p290) :args ((or @t168 (not @t204)))) % 0.61/0.84 (step @p292 :rule chain_m_resolution :premises (@p291 @p289) :args (@t168 @t151 (@list @t204))) % 0.61/0.84 (step @p293 :rule instantiate :premises (@p186) :args ((@list tptp.uri_ex_d tptp.uri_ex_c3))) % 0.61/0.84 (step @p294 :rule cnf_equiv_pos2 :args (@t207)) % 0.61/0.84 (step @p295 :rule reordering :premises (@p294) :args ((or @t51 @t208 (not @t207)))) % 0.61/0.84 (step @p296 :rule chain_m_resolution :premises (@p295 @p7 @p293) :args (@t208 (@list true false) (@list @t51 @t207))) % 0.61/0.84 (step @p297 :rule cnf_and_neg :args (@t206)) % 0.61/0.84 (step @p298 :rule chain_m_resolution :premises (@p297 @p296 @p292 @p280) :args ((not @t139) @t209 (@list @t206 @t168 @t196))) % 0.61/0.84 (step @p299 :rule skolemize :premises (@p298)) % 0.61/0.84 (step @p300 :rule bool-double-not-elim :args (@t210)) % 0.61/0.84 (step @p301 :rule refl :args (@t213)) % 0.61/0.84 (step @p302 :rule nary_cong :premises (@p301 @p300) :args ((or @t213 (not @t212)))) % 0.61/0.84 (step @p303 :rule cnf_or_neg :args (@t213 0)) % 0.61/0.84 (step @p304 :rule eq_resolve :premises (@p303 @p302)) % 0.61/0.84 (step @p305 :rule reordering :premises (@p304) :args ((or @t210 @t213))) % 0.61/0.84 (step @p306 :rule chain_m_resolution :premises (@p305 @p299) :args (@t210 @t121 @t214)) % 0.61/0.84 (step @p307 :rule cnf_or_pos :args (@t216)) % 0.61/0.84 (step @p308 :rule reordering :premises (@p307) :args ((or @t212 @t215 (not @t216)))) % 0.61/0.84 (step @p309 :rule chain_m_resolution :premises (@p308 @p306 @p200) :args (@t215 @t165 (@list @t210 @t216))) % 0.61/0.84 (step @p310 :rule cnf_equiv_pos1 :args (@t219)) % 0.61/0.84 (step @p311 :rule reordering :premises (@p310) :args ((or (not @t215) @t218 (not @t219)))) % 0.61/0.84 (step @p312 :rule chain_m_resolution :premises (@p311 @p309 @p177) :args (@t218 @t165 (@list @t215 @t219))) % 0.61/0.84 (step @p313 :rule cnf_and_pos :args (@t218 1)) % 0.61/0.84 (step @p314 :rule reordering :premises (@p313) :args ((or @t141 @t220))) % 0.61/0.84 (step @p315 :rule chain_m_resolution :premises (@p314 @p312) :args (@t141 @t151 @t221)) % 0.61/0.84 (step @p316 :rule cnf_and_pos :args (@t198 4)) % 0.61/0.84 (step @p317 :rule reordering :premises (@p316) :args ((or @t195 @t201))) % 0.61/0.84 (step @p318 :rule chain_m_resolution :premises (@p317 @p277) :args (@t195 @t151 @t202)) % 0.61/0.84 (step @p319 :rule instantiate :premises (@p318) :args (@t166)) % 0.61/0.84 (step @p320 :rule cnf_and_pos :args (@t218 0)) % 0.61/0.84 (step @p321 :rule reordering :premises (@p320) :args ((or @t217 @t220))) % 0.61/0.84 (step @p322 :rule chain_m_resolution :premises (@p321 @p312) :args (@t217 @t151 @t221)) % 0.61/0.84 (step @p323 :rule cnf_equiv_pos1 :args (@t224)) % 0.61/0.84 (step @p324 :rule reordering :premises (@p323) :args ((or @t223 (not @t217) (not @t224)))) % 0.61/0.84 (step @p325 :rule chain_m_resolution :premises (@p324 @p322 @p319) :args (@t223 @t165 (@list @t217 @t224))) % 0.61/0.84 (step @p326 :rule bool-and-de-morgan :args (@t19 @t17 true)) % 0.61/0.84 (step @p327 :rule cong :premises (@p326) :args (@t46)) % 0.61/0.84 (step @p328 :rule nary_cong :premises (@p181 @p180 @p327) :args (@t47)) % 0.61/0.84 (step @p329 :rule refl :args (@t48)) % 0.61/0.84 (step @p330 :rule cong :premises (@p329 @p328) :args (@t49)) % 0.61/0.84 (step @p331 :rule cong :premises (@p330) :args (@t50)) % 0.61/0.84 (step @p332 :rule eq_resolve :premises (@p6 @p331)) % 0.61/0.84 (step @p333 :rule instantiate :premises (@p332) :args (@t203)) % 0.61/0.84 (step @p334 :rule cnf_equiv_pos1 :args (@t227)) % 0.61/0.84 (step @p335 :rule reordering :premises (@p334) :args ((or @t95 @t226 (not @t227)))) % 0.61/0.84 (step @p336 :rule chain_m_resolution :premises (@p335 @p286 @p333) :args (@t226 @t165 (@list @t63 @t227))) % 0.61/0.84 (step @p337 :rule cnf_and_pos :args (@t226 2)) % 0.61/0.84 (step @p338 :rule reordering :premises (@p337) :args ((or @t225 (not @t226)))) % 0.61/0.84 (step @p339 :rule chain_m_resolution :premises (@p338 @p336) :args (@t225 @t151 (@list @t226))) % 0.61/0.84 (step @p340 :rule instantiate :premises (@p339) :args (@t166)) % 0.61/0.84 (step @p341 :rule cnf_or_pos :args (@t229)) % 0.61/0.84 (step @p342 :rule reordering :premises (@p341) :args ((or @t212 @t228 (not @t229)))) % 0.61/0.84 (step @p343 :rule chain_m_resolution :premises (@p342 @p306 @p340) :args (@t228 @t165 (@list @t210 @t229))) % 0.61/0.84 (step @p344 :rule cnf_or_neg :args (@t213 1)) % 0.61/0.84 (step @p345 :rule chain_m_resolution :premises (@p344 @p299) :args ((not @t211) @t121 @t214)) % 0.61/0.84 (step @p346 :rule cnf_or_pos :args (@t223)) % 0.61/0.84 (step @p347 :rule reordering :premises (@p346) :args ((or @t211 @t222 @t142 (not @t223)))) % 0.61/0.84 (step @p348 :rule chain_m_resolution :premises (@p347 @p345 @p343 @p325) :args (@t142 (@list true true false) (@list @t211 @t222 @t223))) % 0.61/0.84 (step @p349 :rule cnf_equiv_pos2 :args (@t148)) % 0.61/0.84 (step @p350 :rule reordering :premises (@p349) :args ((or @t143 (not @t141) @t230))) % 0.61/0.84 (step @p351 :rule chain_m_resolution :premises (@p350 @p348 @p315) :args (@t230 @t165 (@list @t142 @t141))) % 0.61/0.84 (step @p352 :rule cnf_and_pos :args (@t149 2)) % 0.61/0.84 (step @p353 :rule reordering :premises (@p352) :args ((or @t148 @t231))) % 0.61/0.84 (step @p354 :rule chain_m_resolution :premises (@p353 @p351) :args (@t231 @t121 (@list @t148))) % 0.61/0.84 (step @p355 :rule cnf_or_pos :args (@t150)) % 0.61/0.84 (step @p356 :rule reordering :premises (@p355) :args ((or @t104 @t149 (not @t150)))) % 0.61/0.84 (step @p357 false :rule chain_m_resolution :premises (@p356 @p354 @p117 @p84) :args (false @t209 (@list @t149 @t150 @t103))) % 0.61/0.84 ) % 0.61/0.84 % SZS output end Proof % 0.61/0.84 % cvc5 exiting %------------------------------------------------------------------------------