%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWB021+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 : n021.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 1.03s 1.24s % Output : Proof 1.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB021+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 % 0.17/0.34 % Computer : n021.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 18:55:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 1.03/1.24 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.03/1.24 % SZS status Theorem % 1.03/1.24 % SZS output start Proof % 1.03/1.24 ( % 1.03/1.24 (declare-sort $$unsorted 0) % 1.03/1.24 (declare-const tptp.uri_ex_w1 $$unsorted) % 1.03/1.24 (declare-const tptp.uri_rdf_List $$unsorted) % 1.03/1.24 (declare-const tptp.icext (-> $$unsorted $$unsorted Bool)) % 1.03/1.24 (declare-const tptp.uri_ex_c4 $$unsorted) % 1.03/1.24 (declare-const tptp.uri_ex_w3 $$unsorted) % 1.03/1.24 (declare-const tptp.ic (-> $$unsorted Bool)) % 1.03/1.24 (declare-const tptp.uri_rdf_rest $$unsorted) % 1.03/1.24 (declare-const tptp.uri_ex_c1 $$unsorted) % 1.03/1.24 (declare-const tptp.uri_owl_oneOf $$unsorted) % 1.03/1.24 (declare-const tptp.uri_ex_c2 $$unsorted) % 1.03/1.24 (declare-const tptp.uri_ex_w2 $$unsorted) % 1.03/1.24 (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.03/1.24 (declare-const tptp.uri_owl_unionOf $$unsorted) % 1.03/1.24 (declare-const tptp.uri_rdf_first $$unsorted) % 1.03/1.24 (declare-const tptp.uri_rdf_nil $$unsorted) % 1.03/1.24 (declare-const tptp.uri_owl_equivalentClass $$unsorted) % 1.03/1.24 (declare-const tptp.uri_ex_c3 $$unsorted) % 1.03/1.24 (define @t1 () (@var "Y" $$unsorted)) % 1.03/1.24 (define @t2 () (@var "X" $$unsorted)) % 1.03/1.24 (define @t3 () (and (tptp.ic @t2) (tptp.icext tptp.uri_rdf_List @t1))) % 1.03/1.24 (define @t4 () (tptp.iext tptp.uri_owl_oneOf @t2 @t1)) % 1.03/1.24 (define @t5 () (@list @t2 @t1)) % 1.03/1.24 (define @t6 () (forall @t5 (=> @t4 @t3))) % 1.03/1.24 (define @t7 () (tptp.iext tptp.uri_owl_unionOf @t2 @t1)) % 1.03/1.24 (define @t8 () (forall @t5 (=> @t7 @t3))) % 1.03/1.24 (define @t9 () (@var "C2" $$unsorted)) % 1.03/1.24 (define @t10 () (tptp.icext @t9 @t2)) % 1.03/1.24 (define @t11 () (@var "C1" $$unsorted)) % 1.03/1.24 (define @t12 () (tptp.icext @t11 @t2)) % 1.03/1.24 (define @t13 () (@var "Z" $$unsorted)) % 1.03/1.24 (define @t14 () (tptp.icext @t13 @t2)) % 1.03/1.24 (define @t15 () (@list @t2)) % 1.03/1.24 (define @t16 () (tptp.ic @t9)) % 1.03/1.24 (define @t17 () (tptp.ic @t11)) % 1.03/1.24 (define @t18 () (tptp.ic @t13)) % 1.03/1.24 (define @t19 () (@var "S1" $$unsorted)) % 1.03/1.24 (define @t20 () (= (tptp.iext tptp.uri_owl_unionOf @t13 @t19) (and @t18 @t17 @t16 (forall @t15 (= @t14 (or @t12 @t10)))))) % 1.03/1.24 (define @t21 () (@var "S2" $$unsorted)) % 1.03/1.24 (define @t22 () (tptp.iext tptp.uri_rdf_rest @t21 tptp.uri_rdf_nil)) % 1.03/1.24 (define @t23 () (tptp.iext tptp.uri_rdf_first @t21 @t9)) % 1.03/1.24 (define @t24 () (tptp.iext tptp.uri_rdf_rest @t19 @t21)) % 1.03/1.24 (define @t25 () (tptp.iext tptp.uri_rdf_first @t19 @t11)) % 1.03/1.24 (define @t26 () (and @t25 @t24 @t23 @t22)) % 1.03/1.24 (define @t27 () (forall (@list @t13 @t19 @t11 @t21 @t9) (=> @t26 @t20))) % 1.03/1.24 (define @t28 () (@var "A2" $$unsorted)) % 1.03/1.24 (define @t29 () (= @t2 @t28)) % 1.03/1.24 (define @t30 () (@var "A1" $$unsorted)) % 1.03/1.24 (define @t31 () (= @t2 @t30)) % 1.03/1.24 (define @t32 () (tptp.iext tptp.uri_owl_oneOf @t13 @t19)) % 1.03/1.24 (define @t33 () (= @t32 (and @t18 (forall @t15 (= @t14 (or @t31 @t29)))))) % 1.03/1.24 (define @t34 () (tptp.iext tptp.uri_rdf_first @t21 @t28)) % 1.03/1.24 (define @t35 () (tptp.iext tptp.uri_rdf_first @t19 @t30)) % 1.03/1.24 (define @t36 () (and @t35 @t24 @t34 @t22)) % 1.03/1.24 (define @t37 () (@list @t13 @t19 @t30 @t21 @t28)) % 1.03/1.24 (define @t38 () (forall @t37 (=> @t36 @t33))) % 1.03/1.24 (define @t39 () (@var "A3" $$unsorted)) % 1.03/1.24 (define @t40 () (= @t32 (and @t18 (forall @t15 (= @t14 (or @t31 @t29 (= @t2 @t39))))))) % 1.03/1.24 (define @t41 () (@var "S3" $$unsorted)) % 1.03/1.24 (define @t42 () (tptp.iext tptp.uri_rdf_rest @t41 tptp.uri_rdf_nil)) % 1.03/1.24 (define @t43 () (tptp.iext tptp.uri_rdf_first @t41 @t39)) % 1.03/1.24 (define @t44 () (tptp.iext tptp.uri_rdf_rest @t21 @t41)) % 1.03/1.24 (define @t45 () (and @t35 @t24 @t34 @t44 @t43 @t42)) % 1.03/1.24 (define @t46 () (forall (@list @t13 @t19 @t30 @t21 @t28 @t41 @t39) (=> @t45 @t40))) % 1.03/1.24 (define @t47 () (forall (@list @t11 @t9) (= (tptp.iext tptp.uri_owl_equivalentClass @t11 @t9) (and @t17 @t16 (forall @t15 (= @t12 @t10)))))) % 1.03/1.24 (define @t48 () (tptp.iext tptp.uri_owl_equivalentClass tptp.uri_ex_c3 tptp.uri_ex_c4)) % 1.03/1.24 (define @t49 () (@var "BNODE_l42" $$unsorted)) % 1.03/1.24 (define @t50 () (tptp.iext tptp.uri_rdf_rest @t49 tptp.uri_rdf_nil)) % 1.03/1.24 (define @t51 () (tptp.iext tptp.uri_rdf_first @t49 tptp.uri_ex_c2)) % 1.03/1.24 (define @t52 () (@var "BNODE_l41" $$unsorted)) % 1.03/1.24 (define @t53 () (tptp.iext tptp.uri_rdf_rest @t52 @t49)) % 1.03/1.24 (define @t54 () (tptp.iext tptp.uri_rdf_first @t52 tptp.uri_ex_c1)) % 1.03/1.24 (define @t55 () (tptp.iext tptp.uri_owl_unionOf tptp.uri_ex_c4 @t52)) % 1.03/1.24 (define @t56 () (@var "BNODE_l33" $$unsorted)) % 1.03/1.24 (define @t57 () (tptp.iext tptp.uri_rdf_rest @t56 tptp.uri_rdf_nil)) % 1.03/1.24 (define @t58 () (tptp.iext tptp.uri_rdf_first @t56 tptp.uri_ex_w3)) % 1.03/1.24 (define @t59 () (@var "BNODE_l32" $$unsorted)) % 1.03/1.24 (define @t60 () (tptp.iext tptp.uri_rdf_rest @t59 @t56)) % 1.03/1.24 (define @t61 () (tptp.iext tptp.uri_rdf_first @t59 tptp.uri_ex_w2)) % 1.03/1.24 (define @t62 () (@var "BNODE_l31" $$unsorted)) % 1.03/1.24 (define @t63 () (tptp.iext tptp.uri_rdf_rest @t62 @t59)) % 1.03/1.24 (define @t64 () (tptp.iext tptp.uri_rdf_first @t62 tptp.uri_ex_w1)) % 1.03/1.24 (define @t65 () (tptp.iext tptp.uri_owl_oneOf tptp.uri_ex_c3 @t62)) % 1.03/1.24 (define @t66 () (@var "BNODE_l22" $$unsorted)) % 1.03/1.24 (define @t67 () (tptp.iext tptp.uri_rdf_rest @t66 tptp.uri_rdf_nil)) % 1.03/1.24 (define @t68 () (tptp.iext tptp.uri_rdf_first @t66 tptp.uri_ex_w3)) % 1.03/1.24 (define @t69 () (@var "BNODE_l21" $$unsorted)) % 1.03/1.24 (define @t70 () (tptp.iext tptp.uri_rdf_rest @t69 @t66)) % 1.03/1.24 (define @t71 () (tptp.iext tptp.uri_rdf_first @t69 tptp.uri_ex_w2)) % 1.03/1.24 (define @t72 () (tptp.iext tptp.uri_owl_oneOf tptp.uri_ex_c2 @t69)) % 1.03/1.24 (define @t73 () (@var "BNODE_l12" $$unsorted)) % 1.03/1.24 (define @t74 () (tptp.iext tptp.uri_rdf_rest @t73 tptp.uri_rdf_nil)) % 1.03/1.24 (define @t75 () (tptp.iext tptp.uri_rdf_first @t73 tptp.uri_ex_w2)) % 1.03/1.24 (define @t76 () (@var "BNODE_l11" $$unsorted)) % 1.03/1.24 (define @t77 () (tptp.iext tptp.uri_rdf_rest @t76 @t73)) % 1.03/1.24 (define @t78 () (tptp.iext tptp.uri_rdf_first @t76 tptp.uri_ex_w1)) % 1.03/1.24 (define @t79 () (tptp.iext tptp.uri_owl_oneOf tptp.uri_ex_c1 @t76)) % 1.03/1.24 (define @t80 () (and @t79 @t78 @t77 @t75 @t74 @t72 @t71 @t70 @t68 @t67 @t65 @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50)) % 1.03/1.24 (define @t81 () (@list @t76 @t73 @t69 @t66 @t62 @t59 @t56 @t52 @t49)) % 1.03/1.24 (define @t82 () (exists @t81 @t80)) % 1.03/1.24 (define @t83 () (not @t42)) % 1.03/1.24 (define @t84 () (not @t43)) % 1.03/1.24 (define @t85 () (not @t44)) % 1.03/1.24 (define @t86 () (not @t34)) % 1.03/1.24 (define @t87 () (not @t24)) % 1.03/1.24 (define @t88 () (not @t35)) % 1.03/1.24 (define @t89 () (or @t88 @t87 @t86 @t85 @t84 @t83)) % 1.03/1.24 (define @t90 () (not @t57)) % 1.03/1.24 (define @t91 () (not @t58)) % 1.03/1.24 (define @t92 () (not @t60)) % 1.03/1.24 (define @t93 () (not @t61)) % 1.03/1.24 (define @t94 () (not @t63)) % 1.03/1.24 (define @t95 () (not @t64)) % 1.03/1.24 (define @t96 () (not @t65)) % 1.03/1.24 (define @t97 () (or @t96 @t95 @t94 @t93 @t92 @t91 @t90)) % 1.03/1.24 (define @t98 () (forall (@list @t62 @t59 @t56) @t97)) % 1.03/1.24 (define @t99 () (@quantifiers_skolemize @t98 2)) % 1.03/1.24 (define @t100 () (@quantifiers_skolemize @t98 1)) % 1.03/1.24 (define @t101 () (@quantifiers_skolemize @t98 0)) % 1.03/1.24 (define @t102 () (not @t50)) % 1.03/1.24 (define @t103 () (not @t51)) % 1.03/1.24 (define @t104 () (not @t53)) % 1.03/1.24 (define @t105 () (not @t54)) % 1.03/1.24 (define @t106 () (not @t55)) % 1.03/1.24 (define @t107 () (or @t106 @t105 @t104 @t103 @t102)) % 1.03/1.24 (define @t108 () (forall (@list @t52 @t49) @t107)) % 1.03/1.24 (define @t109 () (not @t67)) % 1.03/1.24 (define @t110 () (not @t68)) % 1.03/1.24 (define @t111 () (not @t70)) % 1.03/1.24 (define @t112 () (not @t71)) % 1.03/1.24 (define @t113 () (not @t72)) % 1.03/1.24 (define @t114 () (or @t113 @t112 @t111 @t110 @t109)) % 1.03/1.24 (define @t115 () (forall (@list @t69 @t66) @t114)) % 1.03/1.24 (define @t116 () (not @t74)) % 1.03/1.24 (define @t117 () (not @t75)) % 1.03/1.24 (define @t118 () (not @t77)) % 1.03/1.24 (define @t119 () (not @t78)) % 1.03/1.24 (define @t120 () (not @t79)) % 1.03/1.24 (define @t121 () (or @t120 @t119 @t118 @t117 @t116)) % 1.03/1.24 (define @t122 () (forall (@list @t76 @t73) @t121)) % 1.03/1.24 (define @t123 () (or @t121 @t114 @t97 @t107)) % 1.03/1.24 (define @t124 () (or @t120 @t119 @t118 @t117 @t116 @t113 @t112 @t111 @t110 @t109 @t96 @t95 @t94 @t93 @t92 @t91 @t90 @t106 @t105 @t104 @t103 @t102)) % 1.03/1.24 (define @t125 () (forall @t81 (not @t80))) % 1.03/1.24 (define @t126 () (not @t125)) % 1.03/1.24 (define @t127 () (tptp.iext tptp.uri_rdf_rest @t99 tptp.uri_rdf_nil)) % 1.03/1.24 (define @t128 () (not @t127)) % 1.03/1.24 (define @t129 () (tptp.iext tptp.uri_rdf_first @t99 tptp.uri_ex_w3)) % 1.03/1.24 (define @t130 () (not @t129)) % 1.03/1.24 (define @t131 () (tptp.iext tptp.uri_rdf_rest @t100 @t99)) % 1.03/1.24 (define @t132 () (not @t131)) % 1.03/1.24 (define @t133 () (tptp.iext tptp.uri_rdf_first @t100 tptp.uri_ex_w2)) % 1.03/1.24 (define @t134 () (not @t133)) % 1.03/1.24 (define @t135 () (tptp.iext tptp.uri_rdf_rest @t101 @t100)) % 1.03/1.24 (define @t136 () (not @t135)) % 1.03/1.24 (define @t137 () (tptp.iext tptp.uri_rdf_first @t101 tptp.uri_ex_w1)) % 1.03/1.24 (define @t138 () (not @t137)) % 1.03/1.24 (define @t139 () (tptp.iext tptp.uri_owl_oneOf tptp.uri_ex_c3 @t101)) % 1.03/1.24 (define @t140 () (not @t139)) % 1.03/1.24 (define @t141 () (or @t140 @t138 @t136 @t134 @t132 @t130 @t128)) % 1.03/1.24 (define @t142 () (@list true)) % 1.03/1.24 (define @t143 () (@list @t141)) % 1.03/1.24 (define @t144 () (= @t2 tptp.uri_ex_w3)) % 1.03/1.24 (define @t145 () (= @t2 tptp.uri_ex_w2)) % 1.03/1.24 (define @t146 () (= @t2 tptp.uri_ex_w1)) % 1.03/1.24 (define @t147 () (or @t146 @t145 @t144)) % 1.03/1.24 (define @t148 () (tptp.icext tptp.uri_ex_c3 @t2)) % 1.03/1.24 (define @t149 () (= @t148 @t147)) % 1.03/1.24 (define @t150 () (forall @t15 @t149)) % 1.03/1.24 (define @t151 () (tptp.ic tptp.uri_ex_c3)) % 1.03/1.24 (define @t152 () (and @t151 @t150)) % 1.03/1.24 (define @t153 () (= @t139 @t152)) % 1.03/1.24 (define @t154 () (or @t138 @t136 @t134 @t132 @t130 @t128 @t153)) % 1.03/1.24 (define @t155 () (@list false false)) % 1.03/1.24 (define @t156 () (@list false)) % 1.03/1.24 (define @t157 () (or @t144 @t146 @t145)) % 1.03/1.24 (define @t158 () (forall @t15 (= @t148 @t157))) % 1.03/1.24 (define @t159 () (tptp.icext tptp.uri_ex_c4 @t2)) % 1.03/1.24 (define @t160 () (forall @t15 (= @t159 @t148))) % 1.03/1.24 (define @t161 () (@quantifiers_skolemize @t160 0)) % 1.03/1.24 (define @t162 () (or (= @t161 tptp.uri_ex_w3) (= @t161 tptp.uri_ex_w1) (= @t161 tptp.uri_ex_w2))) % 1.03/1.24 (define @t163 () (tptp.icext tptp.uri_ex_c3 @t161)) % 1.03/1.24 (define @t164 () (= @t163 @t162)) % 1.03/1.24 (define @t165 () (@list @t161)) % 1.03/1.24 (define @t166 () (or (= tptp.uri_ex_w3 @t161) (= tptp.uri_ex_w1 @t161) (= tptp.uri_ex_w2 @t161))) % 1.03/1.24 (define @t167 () (= @t163 @t166)) % 1.03/1.24 (define @t168 () (@quantifiers_skolemize @t108 0)) % 1.03/1.24 (define @t169 () (tptp.iext tptp.uri_owl_unionOf tptp.uri_ex_c4 @t168)) % 1.03/1.24 (define @t170 () (@quantifiers_skolemize @t108 1)) % 1.03/1.24 (define @t171 () (tptp.iext tptp.uri_rdf_rest @t170 tptp.uri_rdf_nil)) % 1.03/1.24 (define @t172 () (not @t171)) % 1.03/1.24 (define @t173 () (tptp.iext tptp.uri_rdf_first @t170 tptp.uri_ex_c2)) % 1.03/1.24 (define @t174 () (not @t173)) % 1.03/1.24 (define @t175 () (tptp.iext tptp.uri_rdf_rest @t168 @t170)) % 1.03/1.24 (define @t176 () (not @t175)) % 1.03/1.24 (define @t177 () (tptp.iext tptp.uri_rdf_first @t168 tptp.uri_ex_c1)) % 1.03/1.24 (define @t178 () (not @t177)) % 1.03/1.24 (define @t179 () (not @t169)) % 1.03/1.24 (define @t180 () (or @t179 @t178 @t176 @t174 @t172)) % 1.03/1.24 (define @t181 () (@list @t180)) % 1.03/1.24 (define @t182 () (tptp.ic tptp.uri_ex_c4)) % 1.03/1.24 (define @t183 () (and @t182 (tptp.icext tptp.uri_rdf_List @t168))) % 1.03/1.24 (define @t184 () (or @t179 @t183)) % 1.03/1.24 (define @t185 () (and @t151 (tptp.icext tptp.uri_rdf_List @t101))) % 1.03/1.24 (define @t186 () (or @t140 @t185)) % 1.03/1.24 (define @t187 () (forall @t15 (= @t148 @t159))) % 1.03/1.24 (define @t188 () (and @t151 @t182 @t187)) % 1.03/1.24 (define @t189 () (= @t48 @t188)) % 1.03/1.24 (define @t190 () (and @t151 @t182 @t160)) % 1.03/1.24 (define @t191 () (= @t48 @t190)) % 1.03/1.24 (define @t192 () (not @t190)) % 1.03/1.24 (define @t193 () (@list true false)) % 1.03/1.24 (define @t194 () (@list true false false)) % 1.03/1.24 (define @t195 () (tptp.icext tptp.uri_ex_c4 @t161)) % 1.03/1.24 (define @t196 () (= @t195 @t163)) % 1.03/1.24 (define @t197 () (not @t22)) % 1.03/1.24 (define @t198 () (or @t88 @t87 @t86 @t197 @t33)) % 1.03/1.24 (define @t199 () (or @t88 @t87 @t86 @t197)) % 1.03/1.24 (define @t200 () (@quantifiers_skolemize @t122 1)) % 1.03/1.24 (define @t201 () (@quantifiers_skolemize @t122 0)) % 1.03/1.24 (define @t202 () (tptp.iext tptp.uri_rdf_rest @t200 tptp.uri_rdf_nil)) % 1.03/1.24 (define @t203 () (not @t202)) % 1.03/1.24 (define @t204 () (tptp.iext tptp.uri_rdf_first @t200 tptp.uri_ex_w2)) % 1.03/1.24 (define @t205 () (not @t204)) % 1.03/1.24 (define @t206 () (tptp.iext tptp.uri_rdf_rest @t201 @t200)) % 1.03/1.24 (define @t207 () (not @t206)) % 1.03/1.24 (define @t208 () (tptp.iext tptp.uri_rdf_first @t201 tptp.uri_ex_w1)) % 1.03/1.24 (define @t209 () (not @t208)) % 1.03/1.24 (define @t210 () (tptp.iext tptp.uri_owl_oneOf tptp.uri_ex_c1 @t201)) % 1.03/1.24 (define @t211 () (not @t210)) % 1.03/1.24 (define @t212 () (or @t211 @t209 @t207 @t205 @t203)) % 1.03/1.24 (define @t213 () (@list @t212)) % 1.03/1.24 (define @t214 () (tptp.icext tptp.uri_ex_c1 @t2)) % 1.03/1.24 (define @t215 () (forall @t15 (= @t214 (or @t146 @t145)))) % 1.03/1.24 (define @t216 () (tptp.ic tptp.uri_ex_c1)) % 1.03/1.24 (define @t217 () (and @t216 @t215)) % 1.03/1.24 (define @t218 () (= @t210 @t217)) % 1.03/1.24 (define @t219 () (or @t209 @t207 @t205 @t203 @t218)) % 1.03/1.24 (define @t220 () (@list false false false false false)) % 1.03/1.24 (define @t221 () (forall @t15 (= @t159 @t157))) % 1.03/1.24 (define @t222 () (@quantifiers_skolemize @t221 0)) % 1.03/1.24 (define @t223 () (= @t222 tptp.uri_ex_w2)) % 1.03/1.24 (define @t224 () (= @t222 tptp.uri_ex_w1)) % 1.03/1.24 (define @t225 () (or @t224 @t223)) % 1.03/1.24 (define @t226 () (tptp.icext tptp.uri_ex_c1 @t222)) % 1.03/1.24 (define @t227 () (= @t226 @t225)) % 1.03/1.24 (define @t228 () (@list @t222)) % 1.03/1.24 (define @t229 () (= tptp.uri_ex_w2 @t222)) % 1.03/1.24 (define @t230 () (= tptp.uri_ex_w1 @t222)) % 1.03/1.24 (define @t231 () (or @t230 @t229)) % 1.03/1.24 (define @t232 () (= @t226 @t231)) % 1.03/1.24 (define @t233 () (not @t232)) % 1.03/1.24 (define @t234 () (not @t231)) % 1.03/1.24 (define @t235 () (tptp.icext tptp.uri_ex_c2 @t222)) % 1.03/1.24 (define @t236 () (or @t226 @t235)) % 1.03/1.24 (define @t237 () (not @t23)) % 1.03/1.24 (define @t238 () (not @t25)) % 1.03/1.24 (define @t239 () (or @t238 @t87 @t237 @t197)) % 1.03/1.24 (define @t240 () (tptp.icext tptp.uri_ex_c2 @t2)) % 1.03/1.24 (define @t241 () (forall @t15 (= @t159 (or @t214 @t240)))) % 1.03/1.24 (define @t242 () (tptp.ic tptp.uri_ex_c2)) % 1.03/1.24 (define @t243 () (and @t182 @t216 @t242 @t241)) % 1.03/1.24 (define @t244 () (= @t169 @t243)) % 1.03/1.24 (define @t245 () (or @t178 @t176 @t174 @t172 @t244)) % 1.03/1.24 (define @t246 () (tptp.icext tptp.uri_ex_c4 @t222)) % 1.03/1.24 (define @t247 () (= @t246 @t236)) % 1.03/1.24 (define @t248 () (not @t247)) % 1.03/1.24 (define @t249 () (not @t236)) % 1.03/1.24 (define @t250 () (= tptp.uri_ex_w3 @t222)) % 1.03/1.24 (define @t251 () (or @t250 @t230 @t229)) % 1.03/1.24 (define @t252 () (= @t246 @t251)) % 1.03/1.24 (define @t253 () (forall @t37 @t198)) % 1.03/1.24 (define @t254 () (not @t212)) % 1.03/1.24 (define @t255 () (not @t122)) % 1.03/1.24 (define @t256 () (@quantifiers_skolemize @t115 1)) % 1.03/1.24 (define @t257 () (@quantifiers_skolemize @t115 0)) % 1.03/1.24 (define @t258 () (tptp.iext tptp.uri_rdf_rest @t256 tptp.uri_rdf_nil)) % 1.03/1.24 (define @t259 () (not @t258)) % 1.03/1.24 (define @t260 () (tptp.iext tptp.uri_rdf_first @t256 tptp.uri_ex_w3)) % 1.03/1.24 (define @t261 () (not @t260)) % 1.03/1.24 (define @t262 () (tptp.iext tptp.uri_rdf_rest @t257 @t256)) % 1.03/1.24 (define @t263 () (not @t262)) % 1.03/1.24 (define @t264 () (tptp.iext tptp.uri_rdf_first @t257 tptp.uri_ex_w2)) % 1.03/1.24 (define @t265 () (not @t264)) % 1.03/1.24 (define @t266 () (tptp.iext tptp.uri_owl_oneOf tptp.uri_ex_c2 @t257)) % 1.03/1.24 (define @t267 () (not @t266)) % 1.03/1.24 (define @t268 () (or @t267 @t265 @t263 @t261 @t259)) % 1.03/1.24 (define @t269 () (@list @t268)) % 1.03/1.24 (define @t270 () (forall @t15 (= @t240 (or @t145 @t144)))) % 1.03/1.24 (define @t271 () (and @t242 @t270)) % 1.03/1.24 (define @t272 () (= @t266 @t271)) % 1.03/1.24 (define @t273 () (or @t265 @t263 @t261 @t259 @t272)) % 1.03/1.24 (define @t274 () (= @t222 tptp.uri_ex_w3)) % 1.03/1.24 (define @t275 () (or @t223 @t274)) % 1.03/1.24 (define @t276 () (= @t235 @t275)) % 1.03/1.24 (define @t277 () (or @t229 @t250)) % 1.03/1.24 (define @t278 () (= @t235 @t277)) % 1.03/1.24 (define @t279 () (not @t278)) % 1.03/1.24 (define @t280 () (not @t277)) % 1.03/1.24 (define @t281 () (not @t252)) % 1.03/1.24 (define @t282 () (not @t221)) % 1.03/1.24 (define @t283 () (or @t274 @t224 @t223)) % 1.03/1.24 (define @t284 () (= @t246 @t283)) % 1.03/1.24 (define @t285 () (not @t284)) % 1.03/1.24 (define @t286 () (= @t195 @t162)) % 1.03/1.24 (define @t287 () (= @t195 @t166)) % 1.03/1.24 (define @t288 () (not @t287)) % 1.03/1.24 (define @t289 () (not @t195)) % 1.03/1.24 (define @t290 () (not @t167)) % 1.03/1.24 (define @t291 () (not @t166)) % 1.03/1.24 (assume @p1 @t6) % 1.03/1.24 (assume @p2 @t8) % 1.03/1.24 (assume @p3 @t27) % 1.03/1.24 (assume @p4 @t38) % 1.03/1.24 (assume @p5 @t46) % 1.03/1.24 (assume @p6 @t47) % 1.03/1.24 (assume @p7 (not @t48)) % 1.03/1.24 (assume @p8 @t82) % 1.03/1.24 (assume @p9 true) % 1.03/1.24 (step @p10 :rule aci_norm :args ((= (or @t89 @t40) (or @t88 @t87 @t86 @t85 @t84 @t83 @t40)))) % 1.03/1.24 (step @p11 :rule refl :args (@t40)) % 1.03/1.24 (step @p12 :rule aci_norm :args ((= (or @t88 (or @t87 (or @t86 (or @t85 (or @t84 @t83))))) @t89))) % 1.03/1.24 (step @p13 :rule bool-and-de-morgan :args (@t43 @t42 true)) % 1.03/1.24 (step @p14 :rule refl :args (@t85)) % 1.03/1.24 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or @t85 (not (and @t43 @t42))))) % 1.03/1.24 (step @p16 :rule bool-and-de-morgan :args (@t44 @t43 (and @t42))) % 1.03/1.24 (step @p17 :rule trans :premises (@p16 @p15)) % 1.03/1.24 (step @p18 :rule refl :args (@t86)) % 1.03/1.24 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t86 (not (and @t44 @t43 @t42))))) % 1.03/1.24 (step @p20 :rule bool-and-de-morgan :args (@t34 @t44 (and @t43 @t42))) % 1.03/1.24 (step @p21 :rule trans :premises (@p20 @p19)) % 1.03/1.24 (step @p22 :rule refl :args (@t87)) % 1.03/1.24 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t87 (not (and @t34 @t44 @t43 @t42))))) % 1.03/1.24 (step @p24 :rule bool-and-de-morgan :args (@t24 @t34 (and @t44 @t43 @t42))) % 1.03/1.24 (step @p25 :rule trans :premises (@p24 @p23)) % 1.03/1.24 (step @p26 :rule refl :args (@t88)) % 1.03/1.24 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or @t88 (not (and @t24 @t34 @t44 @t43 @t42))))) % 1.03/1.24 (step @p28 :rule bool-and-de-morgan :args (@t35 @t24 (and @t34 @t44 @t43 @t42))) % 1.03/1.24 (step @p29 :rule trans :premises (@p28 @p27)) % 1.03/1.24 (step @p30 :rule trans :premises (@p29 @p12)) % 1.03/1.24 (step @p31 :rule nary_cong :premises (@p30 @p11) :args ((or (not @t45) @t40))) % 1.03/1.24 (step @p32 :rule trans :premises (@p31 @p10)) % 1.03/1.24 (step @p33 :rule bool-impl-elim :args (@t45 @t40)) % 1.03/1.24 (step @p34 :rule trans :premises (@p33 @p32)) % 1.03/1.24 (step @p35 :rule cong :premises (@p34) :args (@t46)) % 1.03/1.24 (step @p36 :rule eq_resolve :premises (@p5 @p35)) % 1.03/1.24 (step @p37 :rule instantiate :premises (@p36) :args ((@list tptp.uri_ex_c3 @t101 tptp.uri_ex_w1 @t100 tptp.uri_ex_w2 @t99 tptp.uri_ex_w3))) % 1.03/1.24 (step @p38 :rule quant-miniscope-or :args ((= (forall @t81 @t123) (or @t122 @t115 @t98 @t108)))) % 1.03/1.24 (step @p39 :rule aci_norm :args ((= @t124 @t123))) % 1.03/1.24 (step @p40 :rule cong :premises (@p39) :args ((forall @t81 @t124))) % 1.03/1.24 (step @p41 :rule trans :premises (@p40 @p38)) % 1.03/1.24 (step @p42 :rule aci_norm :args ((= (or @t120 (or @t119 (or @t118 (or @t117 (or @t116 (or @t113 (or @t112 (or @t111 (or @t110 (or @t109 (or @t96 (or @t95 (or @t94 (or @t93 (or @t92 (or @t91 (or @t90 (or @t106 (or @t105 (or @t104 (or @t103 @t102))))))))))))))))))))) @t124))) % 1.03/1.24 (step @p43 :rule bool-and-de-morgan :args (@t51 @t50 true)) % 1.03/1.24 (step @p44 :rule refl :args (@t104)) % 1.03/1.24 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t104 (not (and @t51 @t50))))) % 1.03/1.24 (step @p46 :rule bool-and-de-morgan :args (@t53 @t51 (and @t50))) % 1.03/1.24 (step @p47 :rule trans :premises (@p46 @p45)) % 1.03/1.24 (step @p48 :rule refl :args (@t105)) % 1.03/1.24 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t105 (not (and @t53 @t51 @t50))))) % 1.03/1.24 (step @p50 :rule bool-and-de-morgan :args (@t54 @t53 (and @t51 @t50))) % 1.03/1.24 (step @p51 :rule trans :premises (@p50 @p49)) % 1.03/1.24 (step @p52 :rule refl :args (@t106)) % 1.03/1.24 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t106 (not (and @t54 @t53 @t51 @t50))))) % 1.03/1.24 (step @p54 :rule bool-and-de-morgan :args (@t55 @t54 (and @t53 @t51 @t50))) % 1.03/1.24 (step @p55 :rule trans :premises (@p54 @p53)) % 1.03/1.24 (step @p56 :rule refl :args (@t90)) % 1.03/1.24 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t90 (not (and @t55 @t54 @t53 @t51 @t50))))) % 1.03/1.24 (step @p58 :rule bool-and-de-morgan :args (@t57 @t55 (and @t54 @t53 @t51 @t50))) % 1.03/1.24 (step @p59 :rule trans :premises (@p58 @p57)) % 1.03/1.24 (step @p60 :rule refl :args (@t91)) % 1.03/1.24 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t91 (not (and @t57 @t55 @t54 @t53 @t51 @t50))))) % 1.03/1.24 (step @p62 :rule bool-and-de-morgan :args (@t58 @t57 (and @t55 @t54 @t53 @t51 @t50))) % 1.03/1.24 (step @p63 :rule trans :premises (@p62 @p61)) % 1.03/1.24 (step @p64 :rule refl :args (@t92)) % 1.03/1.24 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t92 (not (and @t58 @t57 @t55 @t54 @t53 @t51 @t50))))) % 1.03/1.24 (step @p66 :rule bool-and-de-morgan :args (@t60 @t58 (and @t57 @t55 @t54 @t53 @t51 @t50))) % 1.03/1.24 (step @p67 :rule trans :premises (@p66 @p65)) % 1.03/1.24 (step @p68 :rule refl :args (@t93)) % 1.03/1.24 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t93 (not (and @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))))) % 1.03/1.24 (step @p70 :rule bool-and-de-morgan :args (@t61 @t60 (and @t58 @t57 @t55 @t54 @t53 @t51 @t50))) % 1.03/1.24 (step @p71 :rule trans :premises (@p70 @p69)) % 1.03/1.24 (step @p72 :rule refl :args (@t94)) % 1.03/1.24 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t94 (not (and @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))))) % 1.03/1.24 (step @p74 :rule bool-and-de-morgan :args (@t63 @t61 (and @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))) % 1.03/1.24 (step @p75 :rule trans :premises (@p74 @p73)) % 1.03/1.24 (step @p76 :rule refl :args (@t95)) % 1.03/1.24 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t95 (not (and @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))))) % 1.03/1.24 (step @p78 :rule bool-and-de-morgan :args (@t64 @t63 (and @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))) % 1.03/1.24 (step @p79 :rule trans :premises (@p78 @p77)) % 1.03/1.24 (step @p80 :rule refl :args (@t96)) % 1.03/1.24 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t96 (not (and @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))))) % 1.03/1.24 (step @p82 :rule bool-and-de-morgan :args (@t65 @t64 (and @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))) % 1.03/1.24 (step @p83 :rule trans :premises (@p82 @p81)) % 1.03/1.24 (step @p84 :rule refl :args (@t109)) % 1.03/1.24 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t109 (not (and @t65 @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))))) % 1.03/1.24 (step @p86 :rule bool-and-de-morgan :args (@t67 @t65 (and @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))) % 1.03/1.24 (step @p87 :rule trans :premises (@p86 @p85)) % 1.03/1.24 (step @p88 :rule refl :args (@t110)) % 1.03/1.24 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t110 (not (and @t67 @t65 @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))))) % 1.03/1.24 (step @p90 :rule bool-and-de-morgan :args (@t68 @t67 (and @t65 @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))) % 1.03/1.24 (step @p91 :rule trans :premises (@p90 @p89)) % 1.03/1.24 (step @p92 :rule refl :args (@t111)) % 1.03/1.24 (step @p93 :rule nary_cong :premises (@p92 @p91) :args ((or @t111 (not (and @t68 @t67 @t65 @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))))) % 1.03/1.24 (step @p94 :rule bool-and-de-morgan :args (@t70 @t68 (and @t67 @t65 @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))) % 1.03/1.24 (step @p95 :rule trans :premises (@p94 @p93)) % 1.03/1.24 (step @p96 :rule refl :args (@t112)) % 1.03/1.24 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t112 (not (and @t70 @t68 @t67 @t65 @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))))) % 1.03/1.24 (step @p98 :rule bool-and-de-morgan :args (@t71 @t70 (and @t68 @t67 @t65 @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))) % 1.03/1.24 (step @p99 :rule trans :premises (@p98 @p97)) % 1.03/1.24 (step @p100 :rule refl :args (@t113)) % 1.03/1.24 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t113 (not (and @t71 @t70 @t68 @t67 @t65 @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))))) % 1.03/1.24 (step @p102 :rule bool-and-de-morgan :args (@t72 @t71 (and @t70 @t68 @t67 @t65 @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))) % 1.03/1.24 (step @p103 :rule trans :premises (@p102 @p101)) % 1.03/1.24 (step @p104 :rule refl :args (@t116)) % 1.03/1.24 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t116 (not (and @t72 @t71 @t70 @t68 @t67 @t65 @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))))) % 1.03/1.24 (step @p106 :rule bool-and-de-morgan :args (@t74 @t72 (and @t71 @t70 @t68 @t67 @t65 @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))) % 1.03/1.24 (step @p107 :rule trans :premises (@p106 @p105)) % 1.03/1.24 (step @p108 :rule refl :args (@t117)) % 1.03/1.24 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t117 (not (and @t74 @t72 @t71 @t70 @t68 @t67 @t65 @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))))) % 1.03/1.24 (step @p110 :rule bool-and-de-morgan :args (@t75 @t74 (and @t72 @t71 @t70 @t68 @t67 @t65 @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))) % 1.03/1.24 (step @p111 :rule trans :premises (@p110 @p109)) % 1.03/1.24 (step @p112 :rule refl :args (@t118)) % 1.03/1.24 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t118 (not (and @t75 @t74 @t72 @t71 @t70 @t68 @t67 @t65 @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))))) % 1.03/1.24 (step @p114 :rule bool-and-de-morgan :args (@t77 @t75 (and @t74 @t72 @t71 @t70 @t68 @t67 @t65 @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))) % 1.03/1.24 (step @p115 :rule trans :premises (@p114 @p113)) % 1.03/1.24 (step @p116 :rule refl :args (@t119)) % 1.03/1.24 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or @t119 (not (and @t77 @t75 @t74 @t72 @t71 @t70 @t68 @t67 @t65 @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))))) % 1.03/1.24 (step @p118 :rule bool-and-de-morgan :args (@t78 @t77 (and @t75 @t74 @t72 @t71 @t70 @t68 @t67 @t65 @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))) % 1.03/1.24 (step @p119 :rule trans :premises (@p118 @p117)) % 1.03/1.24 (step @p120 :rule refl :args (@t120)) % 1.03/1.24 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t120 (not (and @t78 @t77 @t75 @t74 @t72 @t71 @t70 @t68 @t67 @t65 @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))))) % 1.03/1.24 (step @p122 :rule bool-and-de-morgan :args (@t79 @t78 (and @t77 @t75 @t74 @t72 @t71 @t70 @t68 @t67 @t65 @t64 @t63 @t61 @t60 @t58 @t57 @t55 @t54 @t53 @t51 @t50))) % 1.03/1.24 (step @p123 :rule trans :premises (@p122 @p121)) % 1.03/1.24 (step @p124 :rule trans :premises (@p123 @p42)) % 1.03/1.24 (step @p125 :rule cong :premises (@p124) :args (@t125)) % 1.03/1.24 (step @p126 :rule trans :premises (@p125 @p41)) % 1.03/1.24 (step @p127 :rule cong :premises (@p126) :args (@t126)) % 1.03/1.24 (step @p128 :rule exists-elim :args ((= @t82 @t126))) % 1.03/1.24 (step @p129 :rule trans :premises (@p128 @p127)) % 1.03/1.24 (step @p130 :rule eq_resolve :premises (@p8 @p129)) % 1.03/1.24 (step @p131 :rule not_or_elim :premises (@p130) :args (2)) % 1.03/1.24 (step @p132 :rule skolemize :premises (@p131)) % 1.03/1.24 (step @p133 :rule bool-double-not-elim :args (@t127)) % 1.03/1.24 (step @p134 :rule refl :args (@t141)) % 1.03/1.24 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t141 (not @t128)))) % 1.03/1.24 (step @p136 :rule cnf_or_neg :args (@t141 6)) % 1.03/1.24 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 1.03/1.24 (step @p138 :rule reordering :premises (@p137) :args ((or @t127 @t141))) % 1.03/1.24 (step @p139 :rule chain_m_resolution :premises (@p138 @p132) :args (@t127 @t142 @t143)) % 1.03/1.24 (step @p140 :rule bool-double-not-elim :args (@t129)) % 1.03/1.24 (step @p141 :rule nary_cong :premises (@p134 @p140) :args ((or @t141 (not @t130)))) % 1.03/1.24 (step @p142 :rule cnf_or_neg :args (@t141 5)) % 1.03/1.24 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 1.03/1.24 (step @p144 :rule reordering :premises (@p143) :args ((or @t129 @t141))) % 1.03/1.24 (step @p145 :rule chain_m_resolution :premises (@p144 @p132) :args (@t129 @t142 @t143)) % 1.03/1.24 (step @p146 :rule bool-double-not-elim :args (@t131)) % 1.03/1.24 (step @p147 :rule nary_cong :premises (@p134 @p146) :args ((or @t141 (not @t132)))) % 1.03/1.24 (step @p148 :rule cnf_or_neg :args (@t141 4)) % 1.03/1.24 (step @p149 :rule eq_resolve :premises (@p148 @p147)) % 1.03/1.24 (step @p150 :rule reordering :premises (@p149) :args ((or @t131 @t141))) % 1.03/1.24 (step @p151 :rule chain_m_resolution :premises (@p150 @p132) :args (@t131 @t142 @t143)) % 1.03/1.24 (step @p152 :rule bool-double-not-elim :args (@t133)) % 1.03/1.24 (step @p153 :rule nary_cong :premises (@p134 @p152) :args ((or @t141 (not @t134)))) % 1.03/1.24 (step @p154 :rule cnf_or_neg :args (@t141 3)) % 1.03/1.24 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 1.03/1.24 (step @p156 :rule reordering :premises (@p155) :args ((or @t133 @t141))) % 1.03/1.24 (step @p157 :rule chain_m_resolution :premises (@p156 @p132) :args (@t133 @t142 @t143)) % 1.03/1.24 (step @p158 :rule bool-double-not-elim :args (@t135)) % 1.03/1.24 (step @p159 :rule nary_cong :premises (@p134 @p158) :args ((or @t141 (not @t136)))) % 1.03/1.24 (step @p160 :rule cnf_or_neg :args (@t141 2)) % 1.03/1.24 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 1.03/1.24 (step @p162 :rule reordering :premises (@p161) :args ((or @t135 @t141))) % 1.03/1.24 (step @p163 :rule chain_m_resolution :premises (@p162 @p132) :args (@t135 @t142 @t143)) % 1.03/1.24 (step @p164 :rule bool-double-not-elim :args (@t137)) % 1.03/1.24 (step @p165 :rule nary_cong :premises (@p134 @p164) :args ((or @t141 (not @t138)))) % 1.03/1.24 (step @p166 :rule cnf_or_neg :args (@t141 1)) % 1.03/1.24 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 1.03/1.24 (step @p168 :rule reordering :premises (@p167) :args ((or @t137 @t141))) % 1.03/1.24 (step @p169 :rule chain_m_resolution :premises (@p168 @p132) :args (@t137 @t142 @t143)) % 1.03/1.24 (step @p170 :rule cnf_or_pos :args (@t154)) % 1.03/1.24 (step @p171 :rule reordering :premises (@p170) :args ((or @t138 @t136 @t134 @t132 @t130 @t128 @t153 (not @t154)))) % 1.03/1.24 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p163 @p157 @p151 @p145 @p139 @p37) :args (@t153 (@list false false false false false false false) (@list @t137 @t135 @t133 @t131 @t129 @t127 @t154))) % 1.03/1.24 (step @p173 :rule bool-double-not-elim :args (@t139)) % 1.03/1.24 (step @p174 :rule nary_cong :premises (@p134 @p173) :args ((or @t141 (not @t140)))) % 1.03/1.24 (step @p175 :rule cnf_or_neg :args (@t141 0)) % 1.03/1.24 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 1.03/1.24 (step @p177 :rule reordering :premises (@p176) :args ((or @t139 @t141))) % 1.03/1.24 (step @p178 :rule chain_m_resolution :premises (@p177 @p132) :args (@t139 @t142 @t143)) % 1.03/1.24 (step @p179 :rule cnf_equiv_pos1 :args (@t153)) % 1.03/1.24 (step @p180 :rule reordering :premises (@p179) :args ((or @t140 @t152 (not @t153)))) % 1.03/1.24 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p172) :args (@t152 @t155 (@list @t139 @t153))) % 1.03/1.24 (step @p182 :rule cnf_and_pos :args (@t152 1)) % 1.03/1.24 (step @p183 :rule reordering :premises (@p182) :args ((or @t150 (not @t152)))) % 1.03/1.24 (step @p184 :rule chain_m_resolution :premises (@p183 @p181) :args (@t150 @t156 (@list @t152))) % 1.03/1.24 (step @p185 :rule aci_norm :args ((= @t147 @t157))) % 1.03/1.24 (step @p186 :rule refl :args (@t148)) % 1.03/1.24 (step @p187 :rule cong :premises (@p186 @p185) :args (@t149)) % 1.03/1.24 (step @p188 :rule cong :premises (@p187) :args (@t150)) % 1.03/1.24 (step @p189 :rule true_intro :premises (@p188)) % 1.03/1.24 (step @p190 :rule eq-symm :args (@t158 @t150)) % 1.03/1.24 (step @p191 :rule trans :premises (@p190 @p189)) % 1.03/1.24 (step @p192 :rule true_elim :premises (@p191)) % 1.03/1.24 (step @p193 :rule equiv_elim2 :premises (@p192)) % 1.03/1.24 (step @p194 :rule chain_m_resolution :premises (@p193 @p184) :args (@t158 @t156 (@list @t150))) % 1.03/1.24 (step @p195 :rule eq-symm :args (@t161 tptp.uri_ex_w2)) % 1.03/1.24 (step @p196 :rule eq-symm :args (@t161 tptp.uri_ex_w1)) % 1.03/1.24 (step @p197 :rule eq-symm :args (@t161 tptp.uri_ex_w3)) % 1.03/1.24 (step @p198 :rule nary_cong :premises (@p197 @p196 @p195) :args (@t162)) % 1.03/1.24 (step @p199 :rule refl :args (@t163)) % 1.03/1.24 (step @p200 :rule cong :premises (@p199 @p198) :args (@t164)) % 1.03/1.24 (step @p201 :rule refl :args (@t158)) % 1.03/1.24 (step @p202 :rule cong :premises (@p201 @p200) :args ((=> @t158 @t164))) % 1.03/1.24 (assume-push @p536 @t158) % 1.03/1.24 (step @p204 :rule instantiate :premises (@p194) :args (@t165)) % 1.03/1.24 (step-pop @p537 :rule scope :premises (@p204)) % 1.03/1.24 (step @p205 :rule process_scope :premises (@p537) :args (@t164)) % 1.03/1.24 (step @p207 :rule eq_resolve :premises (@p205 @p202)) % 1.03/1.24 (step @p208 :rule implies_elim :premises (@p207)) % 1.03/1.24 (step @p209 :rule chain_m_resolution :premises (@p208 @p194) :args (@t167 @t156 (@list @t158))) % 1.03/1.24 (step @p210 :rule bool-impl-elim :args (@t7 @t3)) % 1.03/1.24 (step @p211 :rule cong :premises (@p210) :args (@t8)) % 1.03/1.24 (step @p212 :rule eq_resolve :premises (@p2 @p211)) % 1.03/1.24 (step @p213 :rule instantiate :premises (@p212) :args ((@list tptp.uri_ex_c4 @t168))) % 1.03/1.24 (step @p214 :rule not_or_elim :premises (@p130) :args (3)) % 1.03/1.24 (step @p215 :rule skolemize :premises (@p214)) % 1.03/1.24 (step @p216 :rule bool-double-not-elim :args (@t169)) % 1.03/1.24 (step @p217 :rule refl :args (@t180)) % 1.03/1.24 (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((or @t180 (not @t179)))) % 1.03/1.24 (step @p219 :rule cnf_or_neg :args (@t180 0)) % 1.03/1.24 (step @p220 :rule eq_resolve :premises (@p219 @p218)) % 1.03/1.24 (step @p221 :rule reordering :premises (@p220) :args ((or @t169 @t180))) % 1.03/1.24 (step @p222 :rule chain_m_resolution :premises (@p221 @p215) :args (@t169 @t142 @t181)) % 1.03/1.24 (step @p223 :rule cnf_or_pos :args (@t184)) % 1.03/1.24 (step @p224 :rule reordering :premises (@p223) :args ((or @t179 @t183 (not @t184)))) % 1.03/1.24 (step @p225 :rule chain_m_resolution :premises (@p224 @p222 @p213) :args (@t183 @t155 (@list @t169 @t184))) % 1.03/1.24 (step @p226 :rule cnf_and_pos :args (@t183 0)) % 1.03/1.24 (step @p227 :rule reordering :premises (@p226) :args ((or @t182 (not @t183)))) % 1.03/1.24 (step @p228 :rule chain_m_resolution :premises (@p227 @p225) :args (@t182 @t156 (@list @t183))) % 1.03/1.24 (step @p229 :rule bool-impl-elim :args (@t4 @t3)) % 1.03/1.24 (step @p230 :rule cong :premises (@p229) :args (@t6)) % 1.03/1.24 (step @p231 :rule eq_resolve :premises (@p1 @p230)) % 1.03/1.24 (step @p232 :rule instantiate :premises (@p231) :args ((@list tptp.uri_ex_c3 @t101))) % 1.03/1.24 (step @p233 :rule cnf_or_pos :args (@t186)) % 1.03/1.24 (step @p234 :rule reordering :premises (@p233) :args ((or @t140 @t185 (not @t186)))) % 1.03/1.24 (step @p235 :rule chain_m_resolution :premises (@p234 @p178 @p232) :args (@t185 @t155 (@list @t139 @t186))) % 1.03/1.24 (step @p236 :rule cnf_and_pos :args (@t185 0)) % 1.03/1.24 (step @p237 :rule reordering :premises (@p236) :args ((or @t151 (not @t185)))) % 1.03/1.24 (step @p238 :rule chain_m_resolution :premises (@p237 @p235) :args (@t151 @t156 (@list @t185))) % 1.03/1.24 (step @p239 :rule eq-symm :args (@t148 @t159)) % 1.03/1.24 (step @p240 :rule cong :premises (@p239) :args (@t187)) % 1.03/1.24 (step @p241 :rule refl :args (@t182)) % 1.03/1.24 (step @p242 :rule refl :args (@t151)) % 1.03/1.24 (step @p243 :rule nary_cong :premises (@p242 @p241 @p240) :args (@t188)) % 1.03/1.24 (step @p244 :rule refl :args (@t48)) % 1.03/1.24 (step @p245 :rule cong :premises (@p244 @p243) :args (@t189)) % 1.03/1.24 (step @p246 :rule refl :args (@t47)) % 1.03/1.24 (step @p247 :rule cong :premises (@p246 @p245) :args ((=> @t47 @t189))) % 1.03/1.24 (assume-push @p538 @t47) % 1.03/1.24 (step @p249 :rule instantiate :premises (@p6) :args ((@list tptp.uri_ex_c3 tptp.uri_ex_c4))) % 1.03/1.24 (step-pop @p539 :rule scope :premises (@p249)) % 1.03/1.24 (step @p250 :rule process_scope :premises (@p539) :args (@t189)) % 1.03/1.24 (step @p252 :rule eq_resolve :premises (@p250 @p247)) % 1.03/1.24 (step @p253 :rule implies_elim :premises (@p252)) % 1.03/1.24 (step @p254 :rule chain_m_resolution :premises (@p253 @p6) :args (@t191 @t156 (@list @t47))) % 1.03/1.24 (step @p255 :rule cnf_equiv_pos2 :args (@t191)) % 1.03/1.24 (step @p256 :rule reordering :premises (@p255) :args ((or @t48 @t192 (not @t191)))) % 1.03/1.24 (step @p257 :rule chain_m_resolution :premises (@p256 @p7 @p254) :args (@t192 @t193 (@list @t48 @t191))) % 1.03/1.24 (step @p258 :rule cnf_and_neg :args (@t190)) % 1.03/1.24 (step @p259 :rule chain_m_resolution :premises (@p258 @p257 @p238 @p228) :args ((not @t160) @t194 (@list @t190 @t151 @t182))) % 1.03/1.24 (step @p260 :rule skolemize :premises (@p259)) % 1.03/1.24 (step @p261 :rule cnf_equiv_neg2 :args (@t196)) % 1.03/1.24 (step @p262 :rule aci_norm :args ((= (or @t199 @t33) @t198))) % 1.03/1.24 (step @p263 :rule refl :args (@t33)) % 1.03/1.24 (step @p264 :rule aci_norm :args ((= (or @t88 (or @t87 (or @t86 @t197))) @t199))) % 1.03/1.24 (step @p265 :rule bool-and-de-morgan :args (@t34 @t22 true)) % 1.03/1.24 (step @p266 :rule nary_cong :premises (@p22 @p265) :args ((or @t87 (not (and @t34 @t22))))) % 1.03/1.24 (step @p267 :rule bool-and-de-morgan :args (@t24 @t34 (and @t22))) % 1.03/1.24 (step @p268 :rule trans :premises (@p267 @p266)) % 1.03/1.24 (step @p269 :rule nary_cong :premises (@p26 @p268) :args ((or @t88 (not (and @t24 @t34 @t22))))) % 1.03/1.24 (step @p270 :rule bool-and-de-morgan :args (@t35 @t24 (and @t34 @t22))) % 1.03/1.24 (step @p271 :rule trans :premises (@p270 @p269)) % 1.03/1.24 (step @p272 :rule trans :premises (@p271 @p264)) % 1.03/1.24 (step @p273 :rule nary_cong :premises (@p272 @p263) :args ((or (not @t36) @t33))) % 1.03/1.24 (step @p274 :rule trans :premises (@p273 @p262)) % 1.03/1.24 (step @p275 :rule bool-impl-elim :args (@t36 @t33)) % 1.03/1.24 (step @p276 :rule trans :premises (@p275 @p274)) % 1.03/1.24 (step @p277 :rule cong :premises (@p276) :args (@t38)) % 1.03/1.24 (step @p278 :rule eq_resolve :premises (@p4 @p277)) % 1.03/1.24 (step @p279 :rule instantiate :premises (@p278) :args ((@list tptp.uri_ex_c1 @t201 tptp.uri_ex_w1 @t200 tptp.uri_ex_w2))) % 1.03/1.24 (step @p280 :rule not_or_elim :premises (@p130) :args (0)) % 1.03/1.24 (step @p281 :rule skolemize :premises (@p280)) % 1.03/1.24 (step @p282 :rule bool-double-not-elim :args (@t202)) % 1.03/1.24 (step @p283 :rule refl :args (@t212)) % 1.03/1.24 (step @p284 :rule nary_cong :premises (@p283 @p282) :args ((or @t212 (not @t203)))) % 1.03/1.24 (step @p285 :rule cnf_or_neg :args (@t212 4)) % 1.03/1.24 (step @p286 :rule eq_resolve :premises (@p285 @p284)) % 1.03/1.24 (step @p287 :rule reordering :premises (@p286) :args ((or @t202 @t212))) % 1.03/1.24 (step @p288 :rule chain_m_resolution :premises (@p287 @p281) :args (@t202 @t142 @t213)) % 1.03/1.24 (step @p289 :rule bool-double-not-elim :args (@t204)) % 1.03/1.24 (step @p290 :rule nary_cong :premises (@p283 @p289) :args ((or @t212 (not @t205)))) % 1.03/1.24 (step @p291 :rule cnf_or_neg :args (@t212 3)) % 1.03/1.24 (step @p292 :rule eq_resolve :premises (@p291 @p290)) % 1.03/1.24 (step @p293 :rule reordering :premises (@p292) :args ((or @t204 @t212))) % 1.03/1.24 (step @p294 :rule chain_m_resolution :premises (@p293 @p281) :args (@t204 @t142 @t213)) % 1.03/1.24 (step @p295 :rule bool-double-not-elim :args (@t206)) % 1.03/1.24 (step @p296 :rule nary_cong :premises (@p283 @p295) :args ((or @t212 (not @t207)))) % 1.03/1.24 (step @p297 :rule cnf_or_neg :args (@t212 2)) % 1.03/1.24 (step @p298 :rule eq_resolve :premises (@p297 @p296)) % 1.03/1.24 (step @p299 :rule reordering :premises (@p298) :args ((or @t206 @t212))) % 1.03/1.24 (step @p300 :rule chain_m_resolution :premises (@p299 @p281) :args (@t206 @t142 @t213)) % 1.03/1.24 (step @p301 :rule bool-double-not-elim :args (@t208)) % 1.03/1.24 (step @p302 :rule nary_cong :premises (@p283 @p301) :args ((or @t212 (not @t209)))) % 1.03/1.24 (step @p303 :rule cnf_or_neg :args (@t212 1)) % 1.03/1.24 (step @p304 :rule eq_resolve :premises (@p303 @p302)) % 1.03/1.24 (step @p305 :rule reordering :premises (@p304) :args ((or @t208 @t212))) % 1.03/1.24 (step @p306 :rule chain_m_resolution :premises (@p305 @p281) :args (@t208 @t142 @t213)) % 1.03/1.24 (step @p307 :rule cnf_or_pos :args (@t219)) % 1.03/1.24 (step @p308 :rule reordering :premises (@p307) :args ((or @t209 @t207 @t205 @t203 @t218 (not @t219)))) % 1.03/1.24 (step @p309 :rule chain_m_resolution :premises (@p308 @p306 @p300 @p294 @p288 @p279) :args (@t218 @t220 (@list @t208 @t206 @t204 @t202 @t219))) % 1.03/1.24 (step @p310 :rule bool-double-not-elim :args (@t210)) % 1.03/1.24 (step @p311 :rule nary_cong :premises (@p283 @p310) :args ((or @t212 (not @t211)))) % 1.03/1.24 (step @p312 :rule cnf_or_neg :args (@t212 0)) % 1.03/1.24 (step @p313 :rule eq_resolve :premises (@p312 @p311)) % 1.03/1.24 (step @p314 :rule reordering :premises (@p313) :args ((or @t210 @t212))) % 1.03/1.24 (step @p315 :rule chain_m_resolution :premises (@p314 @p281) :args (@t210 @t142 @t213)) % 1.03/1.24 (step @p316 :rule cnf_equiv_pos1 :args (@t218)) % 1.03/1.24 (step @p317 :rule reordering :premises (@p316) :args ((or @t211 @t217 (not @t218)))) % 1.03/1.24 (step @p318 :rule chain_m_resolution :premises (@p317 @p315 @p309) :args (@t217 @t155 (@list @t210 @t218))) % 1.03/1.24 (step @p319 :rule cnf_and_pos :args (@t217 1)) % 1.03/1.24 (step @p320 :rule reordering :premises (@p319) :args ((or @t215 (not @t217)))) % 1.03/1.24 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true true true true true) (@list @t250 @t251 @t277 @t278 @t246 @t247 @t235 @t236 @t229 @t230 @t231))) % 1.03/1.24 (step @p494 :rule refl :args (@t281)) % 1.03/1.24 (step @p495 :rule bool-double-not-elim :args (@t221)) % 1.03/1.24 (step @p496 :rule nary_cong :premises (@p495 @p494) :args ((or (not @t282) @t281))) % 1.03/1.24 (step @p497 :rule nary_cong :premises (@p463 @p323 @p322) :args (@t283)) % 1.03/1.24 (step @p498 :rule refl :args (@t246)) % 1.03/1.24 (step @p499 :rule cong :premises (@p498 @p497) :args (@t284)) % 1.03/1.24 (step @p500 :rule cong :premises (@p499) :args (@t285)) % 1.03/1.24 (step @p501 :rule refl :args (@t282)) % 1.03/1.24 (step @p502 :rule cong :premises (@p501 @p500) :args ((=> @t282 @t285))) % 1.03/1.25 (assume-push @p548 @t282) % 1.03/1.25 (step @p504 :rule skolemize :premises (@p548)) % 1.03/1.25 (step-pop @p549 :rule scope :premises (@p504)) % 1.03/1.25 (step @p505 :rule process_scope :premises (@p549) :args (@t285)) % 1.03/1.25 (step @p507 :rule eq_resolve :premises (@p505 @p502)) % 1.03/1.25 (step @p508 :rule implies_elim :premises (@p507)) % 1.03/1.25 (step @p509 :rule eq_resolve :premises (@p508 @p496)) % 1.03/1.25 (step @p510 :rule chain_m_resolution :premises (@p509 @p493) :args (@t221 @t156 (@list @t252))) % 1.03/1.25 (step @p511 :rule refl :args (@t195)) % 1.03/1.25 (step @p512 :rule cong :premises (@p511 @p198) :args (@t286)) % 1.03/1.25 (step @p513 :rule refl :args (@t221)) % 1.03/1.25 (step @p514 :rule cong :premises (@p513 @p512) :args ((=> @t221 @t286))) % 1.03/1.25 (assume-push @p550 @t221) % 1.03/1.25 (step @p516 :rule instantiate :premises (@p550) :args (@t165)) % 1.03/1.25 (step-pop @p551 :rule scope :premises (@p516)) % 1.03/1.25 (step @p517 :rule process_scope :premises (@p551) :args (@t286)) % 1.03/1.25 (step @p519 :rule eq_resolve :premises (@p517 @p514)) % 1.03/1.25 (step @p520 :rule implies_elim :premises (@p519)) % 1.03/1.25 (step @p521 :rule chain_m_resolution :premises (@p520 @p510) :args (@t287 @t156 (@list @t221))) % 1.03/1.25 (step @p522 :rule cnf_equiv_pos1 :args (@t287)) % 1.03/1.25 (step @p523 :rule reordering :premises (@p522) :args ((or @t289 @t166 @t288))) % 1.03/1.25 (step @p524 :rule cnf_equiv_pos2 :args (@t167)) % 1.03/1.25 (step @p525 :rule reordering :premises (@p524) :args ((or @t163 @t291 @t290))) % 1.03/1.25 (step @p526 :rule chain_m_resolution :premises (@p525 @p209 @p523 @p521 @p261 @p260) :args (@t289 (@list false false false true true) (@list @t167 @t166 @t287 @t163 @t196))) % 1.03/1.25 (step @p527 :rule cnf_equiv_neg1 :args (@t196)) % 1.03/1.25 (step @p528 :rule reordering :premises (@p527) :args ((or @t195 @t163 @t196))) % 1.03/1.25 (step @p529 :rule chain_m_resolution :premises (@p528 @p526 @p260) :args (@t163 (@list true true) (@list @t195 @t196))) % 1.03/1.25 (step @p530 :rule cnf_equiv_pos2 :args (@t287)) % 1.03/1.25 (step @p531 :rule reordering :premises (@p530) :args ((or @t195 @t291 @t288))) % 1.03/1.25 (step @p532 :rule chain_m_resolution :premises (@p531 @p526 @p521) :args (@t291 @t193 (@list @t195 @t287))) % 1.03/1.25 (step @p533 :rule cnf_equiv_pos1 :args (@t167)) % 1.03/1.25 (step @p534 :rule reordering :premises (@p533) :args ((or (not @t163) @t166 @t290))) % 1.03/1.25 (step @p535 false :rule chain_m_resolution :premises (@p534 @p532 @p529 @p209) :args (false @t194 (@list @t166 @t163 @t167))) % 1.03/1.25 ) % 1.03/1.25 % SZS output end Proof % 1.03/1.25 % cvc5 exiting %------------------------------------------------------------------------------