%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWB013+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 : n010.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 08:57:06 AM UTC 2026 % Result : Theorem 0.44s 0.65s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB013+2 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n010.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 18:51:55 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.65 % SZS status Theorem % 0.44/0.65 % SZS output start Proof % 0.44/0.65 ( % 0.44/0.65 (declare-sort $$unsorted 0) % 0.44/0.65 (declare-const tptp.uri_owl_Class $$unsorted) % 0.44/0.65 (declare-const tptp.uri_rdfs_range $$unsorted) % 0.44/0.65 (declare-const tptp.uri_ex_Clique $$unsorted) % 0.44/0.65 (declare-const tptp.uri_ex_JoesGang $$unsorted) % 0.44/0.65 (declare-const tptp.uri_foaf_knows $$unsorted) % 0.44/0.65 (declare-const tptp.uri_ex_alice $$unsorted) % 0.44/0.65 (declare-const tptp.uri_ex_bob $$unsorted) % 0.44/0.65 (declare-const tptp.uri_owl_inverseOf $$unsorted) % 0.44/0.65 (declare-const tptp.uri_rdf_first $$unsorted) % 0.44/0.65 (declare-const tptp.icext (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.uri_rdfs_subPropertyOf $$unsorted) % 0.44/0.65 (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.uri_owl_propertyChainAxiom $$unsorted) % 0.44/0.65 (declare-const tptp.uri_rdf_rest $$unsorted) % 0.44/0.65 (declare-const tptp.uri_owl_someValuesFrom $$unsorted) % 0.44/0.65 (declare-const tptp.uri_owl_ObjectProperty $$unsorted) % 0.44/0.65 (declare-const tptp.uri_rdf_type $$unsorted) % 0.44/0.65 (declare-const tptp.uri_owl_sameAs $$unsorted) % 0.44/0.65 (declare-const tptp.uri_owl_Restriction $$unsorted) % 0.44/0.65 (declare-const tptp.ic (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.uri_ex_sameCliqueAs $$unsorted) % 0.44/0.65 (declare-const tptp.uri_rdfs_subClassOf $$unsorted) % 0.44/0.65 (declare-const tptp.uri_owl_onProperty $$unsorted) % 0.44/0.65 (declare-const tptp.uri_rdf_nil $$unsorted) % 0.44/0.65 (declare-const tptp.ip (-> $$unsorted Bool)) % 0.44/0.65 (define @t1 () (@var "X" $$unsorted)) % 0.44/0.65 (define @t2 () (@var "C" $$unsorted)) % 0.44/0.65 (define @t3 () (@var "Y" $$unsorted)) % 0.44/0.65 (define @t4 () (tptp.icext @t2 @t3)) % 0.44/0.65 (define @t5 () (@var "P" $$unsorted)) % 0.44/0.65 (define @t6 () (tptp.iext @t5 @t1 @t3)) % 0.44/0.65 (define @t7 () (and @t6 @t4)) % 0.44/0.65 (define @t8 () (@list @t3)) % 0.44/0.65 (define @t9 () (exists @t8 @t7)) % 0.44/0.65 (define @t10 () (@var "Z" $$unsorted)) % 0.44/0.65 (define @t11 () (tptp.icext @t10 @t1)) % 0.44/0.65 (define @t12 () (= @t11 @t9)) % 0.44/0.65 (define @t13 () (@list @t1)) % 0.44/0.65 (define @t14 () (forall @t13 @t12)) % 0.44/0.65 (define @t15 () (tptp.iext tptp.uri_owl_onProperty @t10 @t5)) % 0.44/0.65 (define @t16 () (tptp.iext tptp.uri_owl_someValuesFrom @t10 @t2)) % 0.44/0.65 (define @t17 () (and @t16 @t15)) % 0.44/0.65 (define @t18 () (=> @t17 @t14)) % 0.44/0.65 (define @t19 () (@list @t10 @t5 @t2)) % 0.44/0.65 (define @t20 () (forall @t19 @t18)) % 0.44/0.65 (define @t21 () (@var "C2" $$unsorted)) % 0.44/0.65 (define @t22 () (tptp.icext @t21 @t1)) % 0.44/0.65 (define @t23 () (@var "C1" $$unsorted)) % 0.44/0.65 (define @t24 () (tptp.icext @t23 @t1)) % 0.44/0.65 (define @t25 () (forall @t13 (=> @t24 @t22))) % 0.44/0.65 (define @t26 () (tptp.ic @t21)) % 0.44/0.65 (define @t27 () (tptp.ic @t23)) % 0.44/0.65 (define @t28 () (and @t27 @t26 @t25)) % 0.44/0.65 (define @t29 () (tptp.iext tptp.uri_rdfs_subClassOf @t23 @t21)) % 0.44/0.65 (define @t30 () (= @t29 @t28)) % 0.44/0.65 (define @t31 () (forall (@list @t23 @t21) @t30)) % 0.44/0.65 (define @t32 () (@var "P2" $$unsorted)) % 0.44/0.65 (define @t33 () (tptp.iext @t32 @t1 @t3)) % 0.44/0.65 (define @t34 () (@var "P1" $$unsorted)) % 0.44/0.65 (define @t35 () (tptp.iext @t34 @t1 @t3)) % 0.44/0.65 (define @t36 () (@list @t1 @t3)) % 0.44/0.65 (define @t37 () (forall @t36 (=> @t35 @t33))) % 0.44/0.65 (define @t38 () (tptp.ip @t32)) % 0.44/0.65 (define @t39 () (tptp.ip @t34)) % 0.44/0.65 (define @t40 () (and @t39 @t38 @t37)) % 0.44/0.65 (define @t41 () (tptp.iext tptp.uri_rdfs_subPropertyOf @t34 @t32)) % 0.44/0.65 (define @t42 () (= @t41 @t40)) % 0.44/0.65 (define @t43 () (@list @t34 @t32)) % 0.44/0.65 (define @t44 () (forall @t43 @t42)) % 0.44/0.65 (define @t45 () (tptp.iext tptp.uri_owl_sameAs @t1 @t3)) % 0.44/0.65 (define @t46 () (@var "Y3" $$unsorted)) % 0.44/0.65 (define @t47 () (@var "Y0" $$unsorted)) % 0.44/0.65 (define @t48 () (tptp.iext @t5 @t47 @t46)) % 0.44/0.65 (define @t49 () (@var "Y2" $$unsorted)) % 0.44/0.65 (define @t50 () (@var "P3" $$unsorted)) % 0.44/0.65 (define @t51 () (tptp.iext @t50 @t49 @t46)) % 0.44/0.65 (define @t52 () (@var "Y1" $$unsorted)) % 0.44/0.65 (define @t53 () (tptp.iext @t32 @t52 @t49)) % 0.44/0.65 (define @t54 () (tptp.iext @t34 @t47 @t52)) % 0.44/0.65 (define @t55 () (and @t54 @t53 @t51)) % 0.44/0.65 (define @t56 () (@list @t47 @t52 @t49 @t46)) % 0.44/0.65 (define @t57 () (forall @t56 (=> @t55 @t48))) % 0.44/0.65 (define @t58 () (tptp.ip @t50)) % 0.44/0.65 (define @t59 () (tptp.ip @t5)) % 0.44/0.65 (define @t60 () (and @t59 @t39 @t38 @t58 @t57)) % 0.44/0.65 (define @t61 () (@var "S1" $$unsorted)) % 0.44/0.65 (define @t62 () (tptp.iext tptp.uri_owl_propertyChainAxiom @t5 @t61)) % 0.44/0.65 (define @t63 () (= @t62 @t60)) % 0.44/0.65 (define @t64 () (@var "S3" $$unsorted)) % 0.44/0.65 (define @t65 () (tptp.iext tptp.uri_rdf_rest @t64 tptp.uri_rdf_nil)) % 0.44/0.65 (define @t66 () (tptp.iext tptp.uri_rdf_first @t64 @t50)) % 0.44/0.65 (define @t67 () (@var "S2" $$unsorted)) % 0.44/0.65 (define @t68 () (tptp.iext tptp.uri_rdf_rest @t67 @t64)) % 0.44/0.65 (define @t69 () (tptp.iext tptp.uri_rdf_first @t67 @t32)) % 0.44/0.65 (define @t70 () (tptp.iext tptp.uri_rdf_rest @t61 @t67)) % 0.44/0.65 (define @t71 () (tptp.iext tptp.uri_rdf_first @t61 @t34)) % 0.44/0.65 (define @t72 () (and @t71 @t70 @t69 @t68 @t66 @t65)) % 0.44/0.65 (define @t73 () (=> @t72 @t63)) % 0.44/0.65 (define @t74 () (@list @t5 @t61 @t34 @t67 @t32 @t64 @t50)) % 0.44/0.65 (define @t75 () (forall @t74 @t73)) % 0.44/0.65 (define @t76 () (tptp.iext tptp.uri_foaf_knows tptp.uri_ex_alice tptp.uri_ex_bob)) % 0.44/0.65 (define @t77 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_bob tptp.uri_ex_JoesGang)) % 0.44/0.65 (define @t78 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_alice tptp.uri_ex_JoesGang)) % 0.44/0.65 (define @t79 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_JoesGang tptp.uri_ex_Clique)) % 0.44/0.65 (define @t80 () (@var "BNODE_i" $$unsorted)) % 0.44/0.65 (define @t81 () (tptp.iext tptp.uri_owl_inverseOf @t80 tptp.uri_rdf_type)) % 0.44/0.65 (define @t82 () (@var "BNODE_l3" $$unsorted)) % 0.44/0.65 (define @t83 () (tptp.iext tptp.uri_rdf_rest @t82 tptp.uri_rdf_nil)) % 0.44/0.65 (define @t84 () (tptp.iext tptp.uri_rdf_first @t82 @t80)) % 0.44/0.65 (define @t85 () (@var "BNODE_l2" $$unsorted)) % 0.44/0.65 (define @t86 () (tptp.iext tptp.uri_rdf_rest @t85 @t82)) % 0.44/0.65 (define @t87 () (tptp.iext tptp.uri_rdf_first @t85 tptp.uri_ex_sameCliqueAs)) % 0.44/0.65 (define @t88 () (@var "BNODE_l1" $$unsorted)) % 0.44/0.65 (define @t89 () (tptp.iext tptp.uri_rdf_rest @t88 @t85)) % 0.44/0.65 (define @t90 () (tptp.iext tptp.uri_rdf_first @t88 tptp.uri_rdf_type)) % 0.44/0.65 (define @t91 () (tptp.iext tptp.uri_owl_propertyChainAxiom tptp.uri_foaf_knows @t88)) % 0.44/0.65 (define @t92 () (tptp.iext tptp.uri_rdf_type tptp.uri_foaf_knows tptp.uri_owl_ObjectProperty)) % 0.44/0.65 (define @t93 () (@var "BNODE_r" $$unsorted)) % 0.44/0.65 (define @t94 () (tptp.iext tptp.uri_owl_someValuesFrom @t93 tptp.uri_ex_Clique)) % 0.44/0.65 (define @t95 () (tptp.iext tptp.uri_owl_onProperty @t93 tptp.uri_ex_sameCliqueAs)) % 0.44/0.65 (define @t96 () (tptp.iext tptp.uri_rdf_type @t93 tptp.uri_owl_Restriction)) % 0.44/0.65 (define @t97 () (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_ex_Clique @t93)) % 0.44/0.65 (define @t98 () (tptp.iext tptp.uri_rdfs_range tptp.uri_ex_sameCliqueAs tptp.uri_ex_Clique)) % 0.44/0.65 (define @t99 () (tptp.iext tptp.uri_rdfs_subPropertyOf tptp.uri_ex_sameCliqueAs tptp.uri_owl_sameAs)) % 0.44/0.65 (define @t100 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_Clique tptp.uri_owl_Class)) % 0.44/0.65 (define @t101 () (and @t100 @t99 @t98 @t97 @t96 @t95 @t94 @t92 @t91 @t90 @t89 @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77)) % 0.44/0.65 (define @t102 () (@list @t93 @t80 @t88 @t85 @t82)) % 0.44/0.65 (define @t103 () (exists @t102 @t101)) % 0.44/0.65 (define @t104 () (not @t51)) % 0.44/0.65 (define @t105 () (not @t53)) % 0.44/0.65 (define @t106 () (not @t54)) % 0.44/0.65 (define @t107 () (or @t106 @t105 @t104 @t48)) % 0.44/0.65 (define @t108 () (= @t62 (and @t59 @t39 @t38 @t58 (forall @t56 @t107)))) % 0.44/0.65 (define @t109 () (not @t65)) % 0.44/0.65 (define @t110 () (not @t66)) % 0.44/0.65 (define @t111 () (not @t68)) % 0.44/0.65 (define @t112 () (not @t69)) % 0.44/0.65 (define @t113 () (not @t70)) % 0.44/0.65 (define @t114 () (not @t71)) % 0.44/0.65 (define @t115 () (or @t114 @t113 @t112 @t111 @t110 @t109)) % 0.44/0.65 (define @t116 () (or @t106 @t105 @t104)) % 0.44/0.65 (define @t117 () (not @t81)) % 0.44/0.65 (define @t118 () (not @t83)) % 0.44/0.65 (define @t119 () (not @t84)) % 0.44/0.65 (define @t120 () (not @t86)) % 0.44/0.65 (define @t121 () (not @t87)) % 0.44/0.65 (define @t122 () (not @t89)) % 0.44/0.65 (define @t123 () (not @t90)) % 0.44/0.65 (define @t124 () (not @t91)) % 0.44/0.65 (define @t125 () (or @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117)) % 0.44/0.65 (define @t126 () (forall (@list @t80 @t88 @t85 @t82) @t125)) % 0.44/0.65 (define @t127 () (@quantifiers_skolemize @t126 0)) % 0.44/0.65 (define @t128 () (@quantifiers_skolemize @t126 3)) % 0.44/0.65 (define @t129 () (@quantifiers_skolemize @t126 2)) % 0.44/0.65 (define @t130 () (@quantifiers_skolemize @t126 1)) % 0.44/0.65 (define @t131 () (not @t94)) % 0.44/0.65 (define @t132 () (not @t95)) % 0.44/0.65 (define @t133 () (not @t96)) % 0.44/0.65 (define @t134 () (not @t97)) % 0.44/0.65 (define @t135 () (or @t134 @t133 @t132 @t131)) % 0.44/0.65 (define @t136 () (forall (@list @t93) @t135)) % 0.44/0.65 (define @t137 () (not @t77)) % 0.44/0.65 (define @t138 () (not @t78)) % 0.44/0.65 (define @t139 () (not @t79)) % 0.44/0.65 (define @t140 () (not @t92)) % 0.44/0.65 (define @t141 () (not @t98)) % 0.44/0.65 (define @t142 () (not @t99)) % 0.44/0.65 (define @t143 () (not @t100)) % 0.44/0.65 (define @t144 () (or @t143 @t142 @t141 @t140 @t139 @t138 @t137 @t135 @t125)) % 0.44/0.65 (define @t145 () (or @t143 @t142 @t141 @t134 @t133 @t132 @t131 @t140 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t139 @t138 @t137)) % 0.44/0.65 (define @t146 () (forall @t102 (not @t101))) % 0.44/0.65 (define @t147 () (not @t146)) % 0.44/0.65 (define @t148 () (tptp.iext tptp.uri_rdf_rest @t128 tptp.uri_rdf_nil)) % 0.44/0.65 (define @t149 () (tptp.iext tptp.uri_owl_inverseOf @t127 tptp.uri_rdf_type)) % 0.44/0.65 (define @t150 () (not @t149)) % 0.44/0.65 (define @t151 () (not @t148)) % 0.44/0.65 (define @t152 () (tptp.iext tptp.uri_rdf_first @t128 @t127)) % 0.44/0.65 (define @t153 () (not @t152)) % 0.44/0.65 (define @t154 () (tptp.iext tptp.uri_rdf_rest @t129 @t128)) % 0.44/0.65 (define @t155 () (not @t154)) % 0.44/0.65 (define @t156 () (tptp.iext tptp.uri_rdf_first @t129 tptp.uri_ex_sameCliqueAs)) % 0.44/0.65 (define @t157 () (not @t156)) % 0.44/0.65 (define @t158 () (tptp.iext tptp.uri_rdf_rest @t130 @t129)) % 0.44/0.65 (define @t159 () (not @t158)) % 0.44/0.65 (define @t160 () (tptp.iext tptp.uri_rdf_first @t130 tptp.uri_rdf_type)) % 0.44/0.65 (define @t161 () (not @t160)) % 0.44/0.65 (define @t162 () (tptp.iext tptp.uri_owl_propertyChainAxiom tptp.uri_foaf_knows @t130)) % 0.44/0.65 (define @t163 () (not @t162)) % 0.44/0.65 (define @t164 () (or @t163 @t161 @t159 @t157 @t155 @t153 @t151 @t150)) % 0.44/0.65 (define @t165 () (@list true)) % 0.44/0.65 (define @t166 () (@list @t164)) % 0.44/0.65 (define @t167 () (forall @t56 (or (not (tptp.iext tptp.uri_rdf_type @t47 @t52)) (not (tptp.iext tptp.uri_ex_sameCliqueAs @t52 @t49)) (not (tptp.iext @t127 @t49 @t46)) (tptp.iext tptp.uri_foaf_knows @t47 @t46)))) % 0.44/0.65 (define @t168 () (tptp.ip @t127)) % 0.44/0.65 (define @t169 () (tptp.ip tptp.uri_ex_sameCliqueAs)) % 0.44/0.65 (define @t170 () (tptp.ip tptp.uri_rdf_type)) % 0.44/0.65 (define @t171 () (and (tptp.ip tptp.uri_foaf_knows) @t170 @t169 @t168 @t167)) % 0.44/0.65 (define @t172 () (= @t162 @t171)) % 0.44/0.65 (define @t173 () (or @t161 @t159 @t157 @t155 @t153 @t151 @t172)) % 0.44/0.65 (define @t174 () (@list false false)) % 0.44/0.65 (define @t175 () (@list false)) % 0.44/0.65 (define @t176 () (forall @t36 (= (tptp.iext @t127 @t1 @t3) (tptp.iext tptp.uri_rdf_type @t3 @t1)))) % 0.44/0.65 (define @t177 () (and @t168 @t170 @t176)) % 0.44/0.65 (define @t178 () (= @t149 @t177)) % 0.44/0.65 (define @t179 () (tptp.iext @t127 tptp.uri_ex_JoesGang tptp.uri_ex_bob)) % 0.44/0.65 (define @t180 () (= @t179 @t77)) % 0.44/0.65 (define @t181 () (= @t77 @t179)) % 0.44/0.65 (define @t182 () (not @t179)) % 0.44/0.65 (define @t183 () (not (tptp.iext tptp.uri_ex_sameCliqueAs tptp.uri_ex_JoesGang tptp.uri_ex_JoesGang))) % 0.44/0.65 (define @t184 () (or @t138 @t183 @t182 @t76)) % 0.44/0.65 (define @t185 () (forall @t8 (or (not (tptp.iext tptp.uri_ex_sameCliqueAs tptp.uri_ex_JoesGang @t3)) (not (tptp.icext tptp.uri_ex_Clique @t3))))) % 0.44/0.65 (define @t186 () (@quantifiers_skolemize @t185 0)) % 0.44/0.65 (define @t187 () (@list tptp.uri_ex_JoesGang @t186)) % 0.44/0.65 (define @t188 () (forall @t36 (or (not (tptp.iext tptp.uri_ex_sameCliqueAs @t1 @t3)) @t45))) % 0.44/0.65 (define @t189 () (and @t169 (tptp.ip tptp.uri_owl_sameAs) @t188)) % 0.44/0.65 (define @t190 () (= @t99 @t189)) % 0.44/0.65 (define @t191 () (not @t4)) % 0.44/0.65 (define @t192 () (@var "BOUND_VARIABLE_7576" $$unsorted)) % 0.44/0.65 (define @t193 () (= (tptp.icext @t10 @t192) (not (forall @t8 (or (not (tptp.iext @t5 @t192 @t3)) @t191))))) % 0.44/0.65 (define @t194 () (not @t15)) % 0.44/0.65 (define @t195 () (not @t16)) % 0.44/0.65 (define @t196 () (or @t195 @t194 @t193)) % 0.44/0.65 (define @t197 () (@list @t192)) % 0.44/0.65 (define @t198 () (forall @t197 @t196)) % 0.44/0.65 (define @t199 () (forall @t197 @t193)) % 0.44/0.65 (define @t200 () (or @t195 @t194 @t199)) % 0.44/0.65 (define @t201 () (forall @t13 (= @t11 (not (forall @t8 (or (not @t6) @t191)))))) % 0.44/0.65 (define @t202 () (or @t195 @t194 @t201)) % 0.44/0.65 (define @t203 () (forall @t8 (not @t7))) % 0.44/0.65 (define @t204 () (not @t203)) % 0.44/0.65 (define @t205 () (@quantifiers_skolemize @t136 0)) % 0.44/0.65 (define @t206 () (tptp.iext tptp.uri_owl_someValuesFrom @t205 tptp.uri_ex_Clique)) % 0.44/0.65 (define @t207 () (not @t206)) % 0.44/0.65 (define @t208 () (tptp.iext tptp.uri_owl_onProperty @t205 tptp.uri_ex_sameCliqueAs)) % 0.44/0.65 (define @t209 () (not @t208)) % 0.44/0.65 (define @t210 () (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_ex_Clique @t205)) % 0.44/0.65 (define @t211 () (not @t210)) % 0.44/0.65 (define @t212 () (or @t211 (not (tptp.iext tptp.uri_rdf_type @t205 tptp.uri_owl_Restriction)) @t209 @t207)) % 0.44/0.65 (define @t213 () (@list @t212)) % 0.44/0.65 (define @t214 () (not @t185)) % 0.44/0.65 (define @t215 () (tptp.icext @t205 tptp.uri_ex_JoesGang)) % 0.44/0.65 (define @t216 () (= @t215 @t214)) % 0.44/0.65 (define @t217 () (or @t207 @t209 @t216)) % 0.44/0.65 (define @t218 () (forall @t13 (or (not (tptp.icext tptp.uri_ex_Clique @t1)) (tptp.icext @t205 @t1)))) % 0.44/0.65 (define @t219 () (and (tptp.ic tptp.uri_ex_Clique) (tptp.ic @t205) @t218)) % 0.44/0.65 (define @t220 () (= @t210 @t219)) % 0.44/0.65 (define @t221 () (tptp.icext tptp.uri_ex_Clique tptp.uri_ex_JoesGang)) % 0.44/0.65 (define @t222 () (= @t79 @t221)) % 0.44/0.65 (define @t223 () (not @t221)) % 0.44/0.65 (define @t224 () (or @t223 @t215)) % 0.44/0.65 (define @t225 () (tptp.iext tptp.uri_ex_sameCliqueAs tptp.uri_ex_JoesGang @t186)) % 0.44/0.65 (define @t226 () (not @t225)) % 0.44/0.65 (define @t227 () (or @t226 (not (tptp.icext tptp.uri_ex_Clique @t186)))) % 0.44/0.65 (define @t228 () (tptp.iext tptp.uri_owl_sameAs tptp.uri_ex_JoesGang @t186)) % 0.44/0.65 (define @t229 () (or @t226 @t228)) % 0.44/0.65 (define @t230 () (= tptp.uri_ex_JoesGang @t186)) % 0.44/0.65 (define @t231 () (= @t228 @t230)) % 0.44/0.65 (assume @p1 (forall (@list @t1 @t2) (= (tptp.iext tptp.uri_rdf_type @t1 @t2) (tptp.icext @t2 @t1)))) % 0.44/0.65 (assume @p2 @t20) % 0.44/0.65 (assume @p3 @t31) % 0.44/0.65 (assume @p4 @t44) % 0.44/0.65 (assume @p5 (forall @t36 (= @t45 (= @t1 @t3)))) % 0.44/0.65 (assume @p6 @t75) % 0.44/0.65 (assume @p7 (forall @t43 (= (tptp.iext tptp.uri_owl_inverseOf @t34 @t32) (and @t39 @t38 (forall @t36 (= @t35 (tptp.iext @t32 @t3 @t1))))))) % 0.44/0.65 (assume @p8 (not @t76)) % 0.44/0.65 (assume @p9 @t103) % 0.44/0.65 (assume @p10 true) % 0.44/0.65 (step @p11 :rule evaluate :args ((= true false))) % 0.44/0.65 (step @p12 :rule aci_norm :args ((= (or @t115 @t108) (or @t114 @t113 @t112 @t111 @t110 @t109 @t108)))) % 0.44/0.65 (step @p13 :rule refl :args (@t108)) % 0.44/0.65 (step @p14 :rule aci_norm :args ((= (or @t114 (or @t113 (or @t112 (or @t111 (or @t110 @t109))))) @t115))) % 0.44/0.65 (step @p15 :rule bool-and-de-morgan :args (@t66 @t65 true)) % 0.44/0.65 (step @p16 :rule refl :args (@t111)) % 0.44/0.65 (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((or @t111 (not (and @t66 @t65))))) % 0.44/0.65 (step @p18 :rule bool-and-de-morgan :args (@t68 @t66 (and @t65))) % 0.44/0.65 (step @p19 :rule trans :premises (@p18 @p17)) % 0.44/0.65 (step @p20 :rule refl :args (@t112)) % 0.44/0.65 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or @t112 (not (and @t68 @t66 @t65))))) % 0.44/0.65 (step @p22 :rule bool-and-de-morgan :args (@t69 @t68 (and @t66 @t65))) % 0.44/0.65 (step @p23 :rule trans :premises (@p22 @p21)) % 0.44/0.65 (step @p24 :rule refl :args (@t113)) % 0.44/0.65 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or @t113 (not (and @t69 @t68 @t66 @t65))))) % 0.44/0.65 (step @p26 :rule bool-and-de-morgan :args (@t70 @t69 (and @t68 @t66 @t65))) % 0.44/0.65 (step @p27 :rule trans :premises (@p26 @p25)) % 0.44/0.65 (step @p28 :rule refl :args (@t114)) % 0.44/0.65 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t114 (not (and @t70 @t69 @t68 @t66 @t65))))) % 0.44/0.65 (step @p30 :rule bool-and-de-morgan :args (@t71 @t70 (and @t69 @t68 @t66 @t65))) % 0.44/0.65 (step @p31 :rule trans :premises (@p30 @p29)) % 0.44/0.65 (step @p32 :rule trans :premises (@p31 @p14)) % 0.44/0.65 (step @p33 :rule nary_cong :premises (@p32 @p13) :args ((or (not @t72) @t108))) % 0.44/0.65 (step @p34 :rule trans :premises (@p33 @p12)) % 0.44/0.65 (step @p35 :rule bool-impl-elim :args (@t72 @t108)) % 0.44/0.65 (step @p36 :rule trans :premises (@p35 @p34)) % 0.44/0.65 (step @p37 :rule cong :premises (@p36) :args ((forall @t74 (=> @t72 @t108)))) % 0.44/0.65 (step @p38 :rule aci_norm :args ((= (or @t116 @t48) @t107))) % 0.44/0.65 (step @p39 :rule refl :args (@t48)) % 0.44/0.65 (step @p40 :rule aci_norm :args ((= (or @t106 (or @t105 @t104)) @t116))) % 0.44/0.65 (step @p41 :rule bool-and-de-morgan :args (@t53 @t51 true)) % 0.44/0.65 (step @p42 :rule refl :args (@t106)) % 0.44/0.65 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t106 (not (and @t53 @t51))))) % 0.44/0.65 (step @p44 :rule bool-and-de-morgan :args (@t54 @t53 (and @t51))) % 0.44/0.65 (step @p45 :rule trans :premises (@p44 @p43)) % 0.44/0.65 (step @p46 :rule trans :premises (@p45 @p40)) % 0.44/0.65 (step @p47 :rule nary_cong :premises (@p46 @p39) :args ((or (not @t55) @t48))) % 0.44/0.65 (step @p48 :rule trans :premises (@p47 @p38)) % 0.44/0.65 (step @p49 :rule bool-impl-elim :args (@t55 @t48)) % 0.44/0.65 (step @p50 :rule trans :premises (@p49 @p48)) % 0.44/0.65 (step @p51 :rule cong :premises (@p50) :args (@t57)) % 0.44/0.65 (step @p52 :rule refl :args (@t58)) % 0.44/0.65 (step @p53 :rule refl :args (@t38)) % 0.44/0.65 (step @p54 :rule refl :args (@t39)) % 0.44/0.65 (step @p55 :rule refl :args (@t59)) % 0.44/0.65 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53 @p52 @p51) :args (@t60)) % 0.44/0.65 (step @p57 :rule refl :args (@t62)) % 0.44/0.65 (step @p58 :rule cong :premises (@p57 @p56) :args (@t63)) % 0.44/0.65 (step @p59 :rule refl :args (@t72)) % 0.44/0.65 (step @p60 :rule cong :premises (@p59 @p58) :args (@t73)) % 0.44/0.65 (step @p61 :rule cong :premises (@p60) :args (@t75)) % 0.44/0.65 (step @p62 :rule trans :premises (@p61 @p37)) % 0.44/0.65 (step @p63 :rule eq_resolve :premises (@p6 @p62)) % 0.44/0.65 (step @p64 :rule instantiate :premises (@p63) :args ((@list tptp.uri_foaf_knows @t130 tptp.uri_rdf_type @t129 tptp.uri_ex_sameCliqueAs @t128 @t127))) % 0.44/0.65 (step @p65 :rule quant-miniscope-or :args ((= (forall @t102 @t144) (or @t143 @t142 @t141 @t140 @t139 @t138 @t137 @t136 @t126)))) % 0.44/0.65 (step @p66 :rule aci_norm :args ((= @t145 @t144))) % 0.44/0.65 (step @p67 :rule cong :premises (@p66) :args ((forall @t102 @t145))) % 0.44/0.65 (step @p68 :rule trans :premises (@p67 @p65)) % 0.44/0.65 (step @p69 :rule aci_norm :args ((= (or @t143 (or @t142 (or @t141 (or @t134 (or @t133 (or @t132 (or @t131 (or @t140 (or @t124 (or @t123 (or @t122 (or @t121 (or @t120 (or @t119 (or @t118 (or @t117 (or @t139 (or @t138 @t137)))))))))))))))))) @t145))) % 0.44/0.65 (step @p70 :rule bool-and-de-morgan :args (@t78 @t77 true)) % 0.44/0.65 (step @p71 :rule refl :args (@t139)) % 0.44/0.65 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or @t139 (not (and @t78 @t77))))) % 0.44/0.65 (step @p73 :rule bool-and-de-morgan :args (@t79 @t78 (and @t77))) % 0.44/0.65 (step @p74 :rule trans :premises (@p73 @p72)) % 0.44/0.65 (step @p75 :rule refl :args (@t117)) % 0.44/0.65 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or @t117 (not (and @t79 @t78 @t77))))) % 0.44/0.65 (step @p77 :rule bool-and-de-morgan :args (@t81 @t79 (and @t78 @t77))) % 0.44/0.65 (step @p78 :rule trans :premises (@p77 @p76)) % 0.44/0.65 (step @p79 :rule refl :args (@t118)) % 0.44/0.65 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t118 (not (and @t81 @t79 @t78 @t77))))) % 0.44/0.65 (step @p81 :rule bool-and-de-morgan :args (@t83 @t81 (and @t79 @t78 @t77))) % 0.44/0.65 (step @p82 :rule trans :premises (@p81 @p80)) % 0.44/0.65 (step @p83 :rule refl :args (@t119)) % 0.44/0.65 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t119 (not (and @t83 @t81 @t79 @t78 @t77))))) % 0.44/0.65 (step @p85 :rule bool-and-de-morgan :args (@t84 @t83 (and @t81 @t79 @t78 @t77))) % 0.44/0.65 (step @p86 :rule trans :premises (@p85 @p84)) % 0.44/0.65 (step @p87 :rule refl :args (@t120)) % 0.44/0.65 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t120 (not (and @t84 @t83 @t81 @t79 @t78 @t77))))) % 0.44/0.65 (step @p89 :rule bool-and-de-morgan :args (@t86 @t84 (and @t83 @t81 @t79 @t78 @t77))) % 0.44/0.65 (step @p90 :rule trans :premises (@p89 @p88)) % 0.44/0.65 (step @p91 :rule refl :args (@t121)) % 0.44/0.65 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t121 (not (and @t86 @t84 @t83 @t81 @t79 @t78 @t77))))) % 0.44/0.65 (step @p93 :rule bool-and-de-morgan :args (@t87 @t86 (and @t84 @t83 @t81 @t79 @t78 @t77))) % 0.44/0.65 (step @p94 :rule trans :premises (@p93 @p92)) % 0.44/0.65 (step @p95 :rule refl :args (@t122)) % 0.44/0.65 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t122 (not (and @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))))) % 0.44/0.65 (step @p97 :rule bool-and-de-morgan :args (@t89 @t87 (and @t86 @t84 @t83 @t81 @t79 @t78 @t77))) % 0.44/0.65 (step @p98 :rule trans :premises (@p97 @p96)) % 0.44/0.65 (step @p99 :rule refl :args (@t123)) % 0.44/0.65 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t123 (not (and @t89 @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))))) % 0.44/0.65 (step @p101 :rule bool-and-de-morgan :args (@t90 @t89 (and @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))) % 0.44/0.65 (step @p102 :rule trans :premises (@p101 @p100)) % 0.44/0.65 (step @p103 :rule refl :args (@t124)) % 0.44/0.65 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t124 (not (and @t90 @t89 @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))))) % 0.44/0.65 (step @p105 :rule bool-and-de-morgan :args (@t91 @t90 (and @t89 @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))) % 0.44/0.65 (step @p106 :rule trans :premises (@p105 @p104)) % 0.44/0.65 (step @p107 :rule refl :args (@t140)) % 0.44/0.65 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t140 (not (and @t91 @t90 @t89 @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))))) % 0.44/0.65 (step @p109 :rule bool-and-de-morgan :args (@t92 @t91 (and @t90 @t89 @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))) % 0.44/0.65 (step @p110 :rule trans :premises (@p109 @p108)) % 0.44/0.65 (step @p111 :rule refl :args (@t131)) % 0.44/0.65 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t131 (not (and @t92 @t91 @t90 @t89 @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))))) % 0.44/0.65 (step @p113 :rule bool-and-de-morgan :args (@t94 @t92 (and @t91 @t90 @t89 @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))) % 0.44/0.65 (step @p114 :rule trans :premises (@p113 @p112)) % 0.44/0.65 (step @p115 :rule refl :args (@t132)) % 0.44/0.65 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or @t132 (not (and @t94 @t92 @t91 @t90 @t89 @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))))) % 0.44/0.65 (step @p117 :rule bool-and-de-morgan :args (@t95 @t94 (and @t92 @t91 @t90 @t89 @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))) % 0.44/0.65 (step @p118 :rule trans :premises (@p117 @p116)) % 0.44/0.65 (step @p119 :rule refl :args (@t133)) % 0.44/0.65 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or @t133 (not (and @t95 @t94 @t92 @t91 @t90 @t89 @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))))) % 0.44/0.65 (step @p121 :rule bool-and-de-morgan :args (@t96 @t95 (and @t94 @t92 @t91 @t90 @t89 @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))) % 0.44/0.65 (step @p122 :rule trans :premises (@p121 @p120)) % 0.44/0.65 (step @p123 :rule refl :args (@t134)) % 0.44/0.65 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or @t134 (not (and @t96 @t95 @t94 @t92 @t91 @t90 @t89 @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))))) % 0.44/0.65 (step @p125 :rule bool-and-de-morgan :args (@t97 @t96 (and @t95 @t94 @t92 @t91 @t90 @t89 @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))) % 0.44/0.65 (step @p126 :rule trans :premises (@p125 @p124)) % 0.44/0.65 (step @p127 :rule refl :args (@t141)) % 0.44/0.65 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t141 (not (and @t97 @t96 @t95 @t94 @t92 @t91 @t90 @t89 @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))))) % 0.44/0.65 (step @p129 :rule bool-and-de-morgan :args (@t98 @t97 (and @t96 @t95 @t94 @t92 @t91 @t90 @t89 @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))) % 0.44/0.65 (step @p130 :rule trans :premises (@p129 @p128)) % 0.44/0.65 (step @p131 :rule refl :args (@t142)) % 0.44/0.65 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or @t142 (not (and @t98 @t97 @t96 @t95 @t94 @t92 @t91 @t90 @t89 @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))))) % 0.44/0.65 (step @p133 :rule bool-and-de-morgan :args (@t99 @t98 (and @t97 @t96 @t95 @t94 @t92 @t91 @t90 @t89 @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))) % 0.44/0.65 (step @p134 :rule trans :premises (@p133 @p132)) % 0.44/0.65 (step @p135 :rule refl :args (@t143)) % 0.44/0.65 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or @t143 (not (and @t99 @t98 @t97 @t96 @t95 @t94 @t92 @t91 @t90 @t89 @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))))) % 0.44/0.65 (step @p137 :rule bool-and-de-morgan :args (@t100 @t99 (and @t98 @t97 @t96 @t95 @t94 @t92 @t91 @t90 @t89 @t87 @t86 @t84 @t83 @t81 @t79 @t78 @t77))) % 0.44/0.65 (step @p138 :rule trans :premises (@p137 @p136)) % 0.44/0.65 (step @p139 :rule trans :premises (@p138 @p69)) % 0.44/0.65 (step @p140 :rule cong :premises (@p139) :args (@t146)) % 0.44/0.65 (step @p141 :rule trans :premises (@p140 @p68)) % 0.44/0.65 (step @p142 :rule cong :premises (@p141) :args (@t147)) % 0.44/0.65 (step @p143 :rule exists-elim :args ((= @t103 @t147))) % 0.44/0.65 (step @p144 :rule trans :premises (@p143 @p142)) % 0.44/0.65 (step @p145 :rule eq_resolve :premises (@p9 @p144)) % 0.44/0.65 (step @p146 :rule not_or_elim :premises (@p145) :args (8)) % 0.44/0.65 (step @p147 :rule skolemize :premises (@p146)) % 0.44/0.65 (step @p148 :rule bool-double-not-elim :args (@t148)) % 0.44/0.65 (step @p149 :rule refl :args (@t164)) % 0.44/0.65 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or @t164 (not @t151)))) % 0.44/0.65 (step @p151 :rule cnf_or_neg :args (@t164 6)) % 0.44/0.65 (step @p152 :rule eq_resolve :premises (@p151 @p150)) % 0.44/0.65 (step @p153 :rule reordering :premises (@p152) :args ((or @t148 @t164))) % 0.44/0.65 (step @p154 :rule chain_m_resolution :premises (@p153 @p147) :args (@t148 @t165 @t166)) % 0.44/0.65 (step @p155 :rule bool-double-not-elim :args (@t152)) % 0.44/0.65 (step @p156 :rule nary_cong :premises (@p149 @p155) :args ((or @t164 (not @t153)))) % 0.44/0.65 (step @p157 :rule cnf_or_neg :args (@t164 5)) % 0.44/0.65 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 0.44/0.65 (step @p159 :rule reordering :premises (@p158) :args ((or @t152 @t164))) % 0.44/0.65 (step @p160 :rule chain_m_resolution :premises (@p159 @p147) :args (@t152 @t165 @t166)) % 0.44/0.65 (step @p161 :rule bool-double-not-elim :args (@t154)) % 0.44/0.65 (step @p162 :rule nary_cong :premises (@p149 @p161) :args ((or @t164 (not @t155)))) % 0.44/0.65 (step @p163 :rule cnf_or_neg :args (@t164 4)) % 0.44/0.65 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 0.44/0.65 (step @p165 :rule reordering :premises (@p164) :args ((or @t154 @t164))) % 0.44/0.65 (step @p166 :rule chain_m_resolution :premises (@p165 @p147) :args (@t154 @t165 @t166)) % 0.44/0.65 (step @p167 :rule bool-double-not-elim :args (@t156)) % 0.44/0.65 (step @p168 :rule nary_cong :premises (@p149 @p167) :args ((or @t164 (not @t157)))) % 0.44/0.65 (step @p169 :rule cnf_or_neg :args (@t164 3)) % 0.44/0.65 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 0.44/0.65 (step @p171 :rule reordering :premises (@p170) :args ((or @t156 @t164))) % 0.44/0.65 (step @p172 :rule chain_m_resolution :premises (@p171 @p147) :args (@t156 @t165 @t166)) % 0.44/0.65 (step @p173 :rule bool-double-not-elim :args (@t158)) % 0.44/0.65 (step @p174 :rule nary_cong :premises (@p149 @p173) :args ((or @t164 (not @t159)))) % 0.44/0.65 (step @p175 :rule cnf_or_neg :args (@t164 2)) % 0.44/0.65 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 0.44/0.65 (step @p177 :rule reordering :premises 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(step @p303 :rule chain_m_resolution :premises (@p302 @p300 @p294 @p285) :args (@t216 (@list false false false) (@list @t208 @t206 @t217))) % 0.44/0.65 (step @p304 :rule bool-impl-elim :args (@t24 @t22)) % 0.44/0.65 (step @p305 :rule cong :premises (@p304) :args (@t25)) % 0.44/0.65 (step @p306 :rule refl :args (@t26)) % 0.44/0.65 (step @p307 :rule refl :args (@t27)) % 0.44/0.65 (step @p308 :rule nary_cong :premises (@p307 @p306 @p305) :args (@t28)) % 0.44/0.65 (step @p309 :rule refl :args (@t29)) % 0.44/0.65 (step @p310 :rule cong :premises (@p309 @p308) :args (@t30)) % 0.44/0.65 (step @p311 :rule cong :premises (@p310) :args (@t31)) % 0.44/0.65 (step @p312 :rule eq_resolve :premises (@p3 @p311)) % 0.44/0.65 (step @p313 :rule instantiate :premises (@p312) :args ((@list tptp.uri_ex_Clique @t205))) % 0.44/0.65 (step @p314 :rule bool-double-not-elim :args (@t210)) % 0.44/0.65 (step @p315 :rule nary_cong :premises (@p289 @p314) :args ((or @t212 (not @t211)))) % 0.44/0.65 (step @p316 :rule 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(not @t228) @t230 (not @t231)))) % 0.44/0.65 (step @p352 :rule chain_m_resolution :premises (@p351 @p349 @p235) :args (@t230 @t174 (@list @t228 @t231))) % 0.44/0.65 (step @p353 :rule symm :premises (@p352)) % 0.44/0.65 (step @p354 :rule refl :args (tptp.uri_ex_JoesGang)) % 0.44/0.65 (step @p355 :rule refl :args (tptp.uri_ex_sameCliqueAs)) % 0.44/0.65 (step @p356 :rule cong :premises (@p355 @p354 @p353) :args (@t225)) % 0.44/0.65 (step @p357 :rule true_intro :premises (@p346)) % 0.44/0.65 (step @p358 :rule symm :premises (@p357)) % 0.44/0.65 (step @p359 :rule trans :premises (@p358 @p356 @p234)) % 0.44/0.65 (step @p360 false :rule eq_resolve :premises (@p359 @p11)) % 0.44/0.65 ) % 0.44/0.65 % SZS output end Proof % 0.44/0.65 % cvc5 exiting %------------------------------------------------------------------------------