%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWB012+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 : n025.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 0.39s 0.62s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB012+2 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.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 18:52:01 EDT 2026 % 0.17/0.35 % CPUTime : % 0.25/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.62 % SZS status Theorem % 0.39/0.62 % SZS output start Proof % 0.39/0.62 ( % 0.39/0.62 (declare-sort $$unsorted 0) % 0.39/0.62 (declare-const tptp.literal_plain (-> $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.dat_str_alice $$unsorted) % 0.39/0.62 (declare-const tptp.uri_ex_name $$unsorted) % 0.39/0.62 (declare-const tptp.uri_owl_FunctionalProperty $$unsorted) % 0.39/0.62 (declare-const tptp.icext (-> $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.uri_ex_PersonAttribute $$unsorted) % 0.39/0.62 (declare-const tptp.uri_rdf_rest $$unsorted) % 0.39/0.62 (declare-const tptp.uri_foaf_Person $$unsorted) % 0.39/0.62 (declare-const tptp.uri_rdf_type $$unsorted) % 0.39/0.62 (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.uri_owl_hasValue $$unsorted) % 0.39/0.62 (declare-const tptp.uri_rdfs_domain $$unsorted) % 0.39/0.62 (declare-const tptp.ic (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.uri_owl_Restriction $$unsorted) % 0.39/0.62 (declare-const tptp.uri_owl_intersectionOf $$unsorted) % 0.39/0.62 (declare-const tptp.uri_owl_DatatypeProperty $$unsorted) % 0.39/0.62 (declare-const tptp.uri_rdf_nil $$unsorted) % 0.39/0.62 (declare-const tptp.uri_owl_Class $$unsorted) % 0.39/0.62 (declare-const tptp.uri_rdf_first $$unsorted) % 0.39/0.62 (declare-const tptp.uri_owl_onProperty $$unsorted) % 0.39/0.62 (declare-const tptp.uri_ex_alice $$unsorted) % 0.39/0.62 (define @t1 () (@var "X" $$unsorted)) % 0.39/0.62 (define @t2 () (@var "C" $$unsorted)) % 0.39/0.62 (define @t3 () (tptp.icext @t2 @t1)) % 0.39/0.62 (define @t4 () (@var "Y" $$unsorted)) % 0.39/0.62 (define @t5 () (@var "P" $$unsorted)) % 0.39/0.62 (define @t6 () (tptp.iext @t5 @t1 @t4)) % 0.39/0.62 (define @t7 () (tptp.iext tptp.uri_rdfs_domain @t5 @t2)) % 0.39/0.62 (define @t8 () (and @t7 @t6)) % 0.39/0.62 (define @t9 () (forall (@list @t5 @t2 @t1 @t4) (=> @t8 @t3))) % 0.39/0.62 (define @t10 () (@var "C3" $$unsorted)) % 0.39/0.62 (define @t11 () (@var "C2" $$unsorted)) % 0.39/0.62 (define @t12 () (@var "C1" $$unsorted)) % 0.39/0.62 (define @t13 () (@var "Z" $$unsorted)) % 0.39/0.62 (define @t14 () (tptp.icext @t13 @t1)) % 0.39/0.62 (define @t15 () (@list @t1)) % 0.39/0.62 (define @t16 () (@var "S1" $$unsorted)) % 0.39/0.62 (define @t17 () (= (tptp.iext tptp.uri_owl_intersectionOf @t13 @t16) (and (tptp.ic @t13) (tptp.ic @t12) (tptp.ic @t11) (tptp.ic @t10) (forall @t15 (= @t14 (and (tptp.icext @t12 @t1) (tptp.icext @t11 @t1) (tptp.icext @t10 @t1))))))) % 0.39/0.62 (define @t18 () (@var "S3" $$unsorted)) % 0.39/0.62 (define @t19 () (tptp.iext tptp.uri_rdf_rest @t18 tptp.uri_rdf_nil)) % 0.39/0.62 (define @t20 () (tptp.iext tptp.uri_rdf_first @t18 @t10)) % 0.39/0.62 (define @t21 () (@var "S2" $$unsorted)) % 0.39/0.62 (define @t22 () (tptp.iext tptp.uri_rdf_rest @t21 @t18)) % 0.39/0.62 (define @t23 () (tptp.iext tptp.uri_rdf_first @t21 @t11)) % 0.39/0.62 (define @t24 () (tptp.iext tptp.uri_rdf_rest @t16 @t21)) % 0.39/0.62 (define @t25 () (tptp.iext tptp.uri_rdf_first @t16 @t12)) % 0.39/0.62 (define @t26 () (and @t25 @t24 @t23 @t22 @t20 @t19)) % 0.39/0.62 (define @t27 () (forall (@list @t13 @t16 @t12 @t21 @t11 @t18 @t10) (=> @t26 @t17))) % 0.39/0.62 (define @t28 () (@var "A" $$unsorted)) % 0.39/0.62 (define @t29 () (forall @t15 (= @t14 (tptp.iext @t5 @t1 @t28)))) % 0.39/0.62 (define @t30 () (tptp.iext tptp.uri_owl_onProperty @t13 @t5)) % 0.39/0.62 (define @t31 () (tptp.iext tptp.uri_owl_hasValue @t13 @t28)) % 0.39/0.62 (define @t32 () (and @t31 @t30)) % 0.39/0.62 (define @t33 () (@list @t13 @t5 @t28)) % 0.39/0.62 (define @t34 () (forall @t33 (=> @t32 @t29))) % 0.39/0.62 (define @t35 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_alice tptp.uri_foaf_Person)) % 0.39/0.62 (define @t36 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_name tptp.uri_owl_FunctionalProperty)) % 0.39/0.62 (define @t37 () (tptp.literal_plain tptp.dat_str_alice)) % 0.39/0.62 (define @t38 () (tptp.iext tptp.uri_ex_name tptp.uri_ex_alice @t37)) % 0.39/0.62 (define @t39 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_name tptp.uri_ex_PersonAttribute)) % 0.39/0.62 (define @t40 () (@var "BNODE_r" $$unsorted)) % 0.39/0.62 (define @t41 () (tptp.iext tptp.uri_owl_hasValue @t40 tptp.uri_foaf_Person)) % 0.39/0.62 (define @t42 () (tptp.iext tptp.uri_owl_onProperty @t40 tptp.uri_rdfs_domain)) % 0.39/0.62 (define @t43 () (tptp.iext tptp.uri_rdf_type @t40 tptp.uri_owl_Restriction)) % 0.39/0.62 (define @t44 () (@var "BNODE_l3" $$unsorted)) % 0.39/0.62 (define @t45 () (tptp.iext tptp.uri_rdf_rest @t44 tptp.uri_rdf_nil)) % 0.39/0.62 (define @t46 () (tptp.iext tptp.uri_rdf_first @t44 @t40)) % 0.39/0.62 (define @t47 () (@var "BNODE_l2" $$unsorted)) % 0.39/0.62 (define @t48 () (tptp.iext tptp.uri_rdf_rest @t47 @t44)) % 0.39/0.62 (define @t49 () (tptp.iext tptp.uri_rdf_first @t47 tptp.uri_owl_FunctionalProperty)) % 0.39/0.62 (define @t50 () (@var "BNODE_l1" $$unsorted)) % 0.39/0.62 (define @t51 () (tptp.iext tptp.uri_rdf_rest @t50 @t47)) % 0.39/0.62 (define @t52 () (tptp.iext tptp.uri_rdf_first @t50 tptp.uri_owl_DatatypeProperty)) % 0.39/0.62 (define @t53 () (tptp.iext tptp.uri_owl_intersectionOf tptp.uri_ex_PersonAttribute @t50)) % 0.39/0.62 (define @t54 () (tptp.iext tptp.uri_rdf_type tptp.uri_foaf_Person tptp.uri_owl_Class)) % 0.39/0.62 (define @t55 () (and @t54 @t53 @t52 @t51 @t49 @t48 @t46 @t45 @t43 @t42 @t41 @t39 @t38)) % 0.39/0.62 (define @t56 () (@list @t50 @t47 @t44 @t40)) % 0.39/0.62 (define @t57 () (exists @t56 @t55)) % 0.39/0.62 (define @t58 () (not @t41)) % 0.39/0.62 (define @t59 () (not @t42)) % 0.39/0.62 (define @t60 () (not @t43)) % 0.39/0.62 (define @t61 () (not @t45)) % 0.39/0.62 (define @t62 () (not @t46)) % 0.39/0.62 (define @t63 () (not @t48)) % 0.39/0.62 (define @t64 () (not @t49)) % 0.39/0.62 (define @t65 () (not @t51)) % 0.39/0.62 (define @t66 () (not @t52)) % 0.39/0.62 (define @t67 () (not @t53)) % 0.39/0.62 (define @t68 () (or @t67 @t66 @t65 @t64 @t63 @t62 @t61 @t60 @t59 @t58)) % 0.39/0.62 (define @t69 () (forall @t56 @t68)) % 0.39/0.62 (define @t70 () (not @t38)) % 0.39/0.62 (define @t71 () (not @t39)) % 0.39/0.62 (define @t72 () (not @t54)) % 0.39/0.62 (define @t73 () (or @t72 @t71 @t70 @t68)) % 0.39/0.62 (define @t74 () (or @t72 @t67 @t66 @t65 @t64 @t63 @t62 @t61 @t60 @t59 @t58 @t71 @t70)) % 0.39/0.62 (define @t75 () (forall @t56 (not @t55))) % 0.39/0.62 (define @t76 () (not @t75)) % 0.39/0.62 (define @t77 () (@quantifiers_skolemize @t69 3)) % 0.39/0.62 (define @t78 () (tptp.iext tptp.uri_owl_onProperty @t77 tptp.uri_rdfs_domain)) % 0.39/0.62 (define @t79 () (tptp.iext tptp.uri_owl_hasValue @t77 tptp.uri_foaf_Person)) % 0.39/0.62 (define @t80 () (not @t79)) % 0.39/0.62 (define @t81 () (not @t78)) % 0.39/0.62 (define @t82 () (@quantifiers_skolemize @t69 2)) % 0.39/0.62 (define @t83 () (tptp.iext tptp.uri_rdf_rest @t82 tptp.uri_rdf_nil)) % 0.39/0.62 (define @t84 () (not @t83)) % 0.39/0.62 (define @t85 () (tptp.iext tptp.uri_rdf_first @t82 @t77)) % 0.39/0.62 (define @t86 () (not @t85)) % 0.39/0.62 (define @t87 () (@quantifiers_skolemize @t69 1)) % 0.39/0.62 (define @t88 () (tptp.iext tptp.uri_rdf_rest @t87 @t82)) % 0.39/0.62 (define @t89 () (not @t88)) % 0.39/0.62 (define @t90 () (tptp.iext tptp.uri_rdf_first @t87 tptp.uri_owl_FunctionalProperty)) % 0.39/0.62 (define @t91 () (not @t90)) % 0.39/0.62 (define @t92 () (@quantifiers_skolemize @t69 0)) % 0.39/0.62 (define @t93 () (tptp.iext tptp.uri_rdf_rest @t92 @t87)) % 0.39/0.62 (define @t94 () (not @t93)) % 0.39/0.62 (define @t95 () (tptp.iext tptp.uri_rdf_first @t92 tptp.uri_owl_DatatypeProperty)) % 0.39/0.62 (define @t96 () (not @t95)) % 0.39/0.62 (define @t97 () (tptp.iext tptp.uri_owl_intersectionOf tptp.uri_ex_PersonAttribute @t92)) % 0.39/0.62 (define @t98 () (not @t97)) % 0.39/0.62 (define @t99 () (or @t98 @t96 @t94 @t91 @t89 @t86 @t84 (not (tptp.iext tptp.uri_rdf_type @t77 tptp.uri_owl_Restriction)) @t81 @t80)) % 0.39/0.62 (define @t100 () (@list true)) % 0.39/0.62 (define @t101 () (@list @t99)) % 0.39/0.62 (define @t102 () (not @t6)) % 0.39/0.62 (define @t103 () (not @t7)) % 0.39/0.62 (define @t104 () (not @t19)) % 0.39/0.62 (define @t105 () (not @t20)) % 0.39/0.62 (define @t106 () (not @t22)) % 0.39/0.62 (define @t107 () (not @t23)) % 0.39/0.62 (define @t108 () (not @t24)) % 0.39/0.62 (define @t109 () (not @t25)) % 0.39/0.62 (define @t110 () (or @t109 @t108 @t107 @t106 @t105 @t104)) % 0.39/0.62 (define @t111 () (forall @t15 (= (tptp.icext tptp.uri_ex_PersonAttribute @t1) (and (tptp.icext tptp.uri_owl_DatatypeProperty @t1) (tptp.icext tptp.uri_owl_FunctionalProperty @t1) (tptp.icext @t77 @t1))))) % 0.39/0.62 (define @t112 () (and (tptp.ic tptp.uri_ex_PersonAttribute) (tptp.ic tptp.uri_owl_DatatypeProperty) (tptp.ic tptp.uri_owl_FunctionalProperty) (tptp.ic @t77) @t111)) % 0.39/0.62 (define @t113 () (= @t97 @t112)) % 0.39/0.62 (define @t114 () (or @t96 @t94 @t91 @t89 @t86 @t84 @t113)) % 0.39/0.62 (define @t115 () (@list false false)) % 0.39/0.62 (define @t116 () (@list false)) % 0.39/0.62 (define @t117 () (tptp.icext tptp.uri_ex_PersonAttribute tptp.uri_ex_name)) % 0.39/0.62 (define @t118 () (= @t39 @t117)) % 0.39/0.62 (define @t119 () (tptp.icext @t77 tptp.uri_ex_name)) % 0.39/0.62 (define @t120 () (tptp.icext tptp.uri_owl_FunctionalProperty tptp.uri_ex_name)) % 0.39/0.62 (define @t121 () (and (tptp.icext tptp.uri_owl_DatatypeProperty tptp.uri_ex_name) @t120 @t119)) % 0.39/0.62 (define @t122 () (= @t117 @t121)) % 0.39/0.62 (define @t123 () (not @t121)) % 0.39/0.62 (define @t124 () (@list @t121)) % 0.39/0.62 (define @t125 () (= @t36 @t120)) % 0.39/0.62 (define @t126 () (tptp.icext tptp.uri_foaf_Person tptp.uri_ex_alice)) % 0.39/0.62 (define @t127 () (= @t35 @t126)) % 0.39/0.62 (define @t128 () (not @t126)) % 0.39/0.62 (define @t129 () (tptp.iext tptp.uri_rdfs_domain tptp.uri_ex_name tptp.uri_foaf_Person)) % 0.39/0.62 (define @t130 () (not @t129)) % 0.39/0.62 (define @t131 () (or @t130 @t70 @t126)) % 0.39/0.62 (define @t132 () (= @t119 @t129)) % 0.39/0.62 (define @t133 () (not @t132)) % 0.39/0.62 (define @t134 () (@var "BOUND_VARIABLE_7538" $$unsorted)) % 0.39/0.62 (define @t135 () (= (tptp.icext @t13 @t134) (tptp.iext @t5 @t134 @t28))) % 0.39/0.62 (define @t136 () (not @t30)) % 0.39/0.62 (define @t137 () (not @t31)) % 0.39/0.62 (define @t138 () (or @t137 @t136 @t135)) % 0.39/0.62 (define @t139 () (@list @t134)) % 0.39/0.62 (define @t140 () (forall @t139 @t138)) % 0.39/0.62 (define @t141 () (forall @t139 @t135)) % 0.39/0.62 (define @t142 () (or @t137 @t136 @t141)) % 0.39/0.62 (define @t143 () (or @t137 @t136 @t29)) % 0.39/0.62 (define @t144 () (or @t80 @t81 @t132)) % 0.39/0.62 (assume @p1 (forall (@list @t1 @t2) (= (tptp.iext tptp.uri_rdf_type @t1 @t2) @t3))) % 0.39/0.62 (assume @p2 @t9) % 0.39/0.62 (assume @p3 @t27) % 0.39/0.62 (assume @p4 @t34) % 0.39/0.62 (assume @p5 (not (and @t36 @t35))) % 0.39/0.62 (assume @p6 @t57) % 0.39/0.62 (assume @p7 true) % 0.39/0.62 (step @p8 :rule quant-miniscope-or :args ((= (forall @t56 @t73) (or @t72 @t71 @t70 @t69)))) % 0.39/0.62 (step @p9 :rule aci_norm :args ((= @t74 @t73))) % 0.39/0.62 (step @p10 :rule cong :premises (@p9) :args ((forall @t56 @t74))) % 0.39/0.62 (step @p11 :rule trans :premises (@p10 @p8)) % 0.39/0.62 (step @p12 :rule aci_norm :args ((= (or @t72 (or @t67 (or @t66 (or @t65 (or @t64 (or @t63 (or @t62 (or @t61 (or @t60 (or @t59 (or @t58 (or @t71 @t70)))))))))))) @t74))) % 0.39/0.62 (step @p13 :rule bool-and-de-morgan :args (@t39 @t38 true)) % 0.39/0.62 (step @p14 :rule refl :args (@t58)) % 0.39/0.62 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or @t58 (not (and @t39 @t38))))) % 0.39/0.62 (step @p16 :rule bool-and-de-morgan :args (@t41 @t39 (and @t38))) % 0.39/0.62 (step @p17 :rule trans :premises (@p16 @p15)) % 0.39/0.62 (step @p18 :rule refl :args (@t59)) % 0.39/0.62 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t59 (not (and @t41 @t39 @t38))))) % 0.39/0.62 (step @p20 :rule bool-and-de-morgan :args (@t42 @t41 (and @t39 @t38))) % 0.39/0.62 (step @p21 :rule trans :premises (@p20 @p19)) % 0.39/0.62 (step @p22 :rule refl :args (@t60)) % 0.39/0.62 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t60 (not (and @t42 @t41 @t39 @t38))))) % 0.39/0.62 (step @p24 :rule bool-and-de-morgan :args (@t43 @t42 (and @t41 @t39 @t38))) % 0.39/0.62 (step @p25 :rule trans :premises (@p24 @p23)) % 0.39/0.62 (step @p26 :rule refl :args (@t61)) % 0.39/0.62 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or @t61 (not (and @t43 @t42 @t41 @t39 @t38))))) % 0.39/0.62 (step @p28 :rule bool-and-de-morgan :args (@t45 @t43 (and @t42 @t41 @t39 @t38))) % 0.39/0.62 (step @p29 :rule trans :premises (@p28 @p27)) % 0.39/0.62 (step @p30 :rule refl :args (@t62)) % 0.39/0.62 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t62 (not (and @t45 @t43 @t42 @t41 @t39 @t38))))) % 0.39/0.62 (step @p32 :rule bool-and-de-morgan :args (@t46 @t45 (and @t43 @t42 @t41 @t39 @t38))) % 0.39/0.62 (step @p33 :rule trans :premises (@p32 @p31)) % 0.39/0.62 (step @p34 :rule refl :args (@t63)) % 0.39/0.62 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t63 (not (and @t46 @t45 @t43 @t42 @t41 @t39 @t38))))) % 0.39/0.62 (step @p36 :rule bool-and-de-morgan :args (@t48 @t46 (and @t45 @t43 @t42 @t41 @t39 @t38))) % 0.39/0.62 (step @p37 :rule trans :premises (@p36 @p35)) % 0.39/0.62 (step @p38 :rule refl :args (@t64)) % 0.39/0.62 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t64 (not (and @t48 @t46 @t45 @t43 @t42 @t41 @t39 @t38))))) % 0.39/0.62 (step @p40 :rule bool-and-de-morgan :args (@t49 @t48 (and @t46 @t45 @t43 @t42 @t41 @t39 @t38))) % 0.39/0.62 (step @p41 :rule trans :premises (@p40 @p39)) % 0.39/0.62 (step @p42 :rule refl :args (@t65)) % 0.39/0.62 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t65 (not (and @t49 @t48 @t46 @t45 @t43 @t42 @t41 @t39 @t38))))) % 0.39/0.62 (step @p44 :rule bool-and-de-morgan :args (@t51 @t49 (and @t48 @t46 @t45 @t43 @t42 @t41 @t39 @t38))) % 0.39/0.62 (step @p45 :rule trans :premises (@p44 @p43)) % 0.39/0.62 (step @p46 :rule refl :args (@t66)) % 0.39/0.62 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t66 (not (and @t51 @t49 @t48 @t46 @t45 @t43 @t42 @t41 @t39 @t38))))) % 0.39/0.62 (step @p48 :rule bool-and-de-morgan :args (@t52 @t51 (and @t49 @t48 @t46 @t45 @t43 @t42 @t41 @t39 @t38))) % 0.39/0.62 (step @p49 :rule trans :premises (@p48 @p47)) % 0.39/0.62 (step @p50 :rule refl :args (@t67)) % 0.39/0.62 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t67 (not (and @t52 @t51 @t49 @t48 @t46 @t45 @t43 @t42 @t41 @t39 @t38))))) % 0.39/0.62 (step @p52 :rule bool-and-de-morgan :args (@t53 @t52 (and @t51 @t49 @t48 @t46 @t45 @t43 @t42 @t41 @t39 @t38))) % 0.39/0.62 (step @p53 :rule trans :premises (@p52 @p51)) % 0.39/0.62 (step @p54 :rule refl :args (@t72)) % 0.39/0.62 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t72 (not (and @t53 @t52 @t51 @t49 @t48 @t46 @t45 @t43 @t42 @t41 @t39 @t38))))) % 0.39/0.62 (step @p56 :rule bool-and-de-morgan :args (@t54 @t53 (and @t52 @t51 @t49 @t48 @t46 @t45 @t43 @t42 @t41 @t39 @t38))) % 0.39/0.62 (step @p57 :rule trans :premises (@p56 @p55)) % 0.39/0.62 (step @p58 :rule trans :premises (@p57 @p12)) % 0.39/0.62 (step @p59 :rule cong :premises (@p58) :args (@t75)) % 0.39/0.62 (step @p60 :rule trans :premises (@p59 @p11)) % 0.39/0.62 (step @p61 :rule cong :premises (@p60) :args (@t76)) % 0.39/0.62 (step @p62 :rule exists-elim :args ((= @t57 @t76))) % 0.39/0.62 (step @p63 :rule trans :premises (@p62 @p61)) % 0.39/0.62 (step @p64 :rule eq_resolve :premises (@p6 @p63)) % 0.39/0.62 (step @p65 :rule not_or_elim :premises (@p64) :args (3)) % 0.39/0.62 (step @p66 :rule skolemize :premises (@p65)) % 0.39/0.62 (step @p67 :rule bool-double-not-elim :args (@t78)) % 0.39/0.62 (step @p68 :rule refl :args (@t99)) % 0.39/0.62 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t99 (not @t81)))) % 0.39/0.62 (step @p70 :rule cnf_or_neg :args (@t99 8)) % 0.39/0.62 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 0.39/0.62 (step @p72 :rule reordering :premises (@p71) :args ((or @t78 @t99))) % 0.39/0.62 (step @p73 :rule chain_m_resolution :premises (@p72 @p66) :args (@t78 @t100 @t101)) % 0.39/0.62 (step @p74 :rule bool-double-not-elim :args (@t79)) % 0.39/0.62 (step @p75 :rule nary_cong :premises (@p68 @p74) :args ((or @t99 (not @t80)))) % 0.39/0.62 (step @p76 :rule cnf_or_neg :args (@t99 9)) % 0.39/0.62 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.39/0.62 (step @p78 :rule reordering :premises (@p77) :args ((or @t79 @t99))) % 0.39/0.62 (step @p79 :rule chain_m_resolution :premises (@p78 @p66) :args (@t79 @t100 @t101)) % 0.39/0.62 (step @p80 :rule aci_norm :args ((= (or (or @t103 @t102) @t3) (or @t103 @t102 @t3)))) % 0.39/0.62 (step @p81 :rule refl :args (@t3)) % 0.39/0.62 (step @p82 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.39/0.62 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or (not @t8) @t3))) % 0.39/0.62 (step @p84 :rule trans :premises (@p83 @p80)) % 0.39/0.62 (step @p85 :rule bool-impl-elim :args (@t8 @t3)) % 0.39/0.62 (step @p86 :rule trans :premises (@p85 @p84)) % 0.39/0.62 (step @p87 :rule cong :premises (@p86) :args (@t9)) % 0.39/0.62 (step @p88 :rule eq_resolve :premises (@p2 @p87)) % 0.39/0.62 (step @p89 :rule instantiate :premises (@p88) :args ((@list tptp.uri_ex_name tptp.uri_foaf_Person tptp.uri_ex_alice @t37))) % 0.39/0.62 (step @p90 :rule instantiate :premises (@p1) :args ((@list tptp.uri_ex_alice tptp.uri_foaf_Person))) % 0.39/0.62 (step @p91 :rule instantiate :premises (@p1) :args ((@list tptp.uri_ex_name tptp.uri_owl_FunctionalProperty))) % 0.39/0.62 (step @p92 :rule aci_norm :args ((= (or @t110 @t17) (or @t109 @t108 @t107 @t106 @t105 @t104 @t17)))) % 0.39/0.62 (step @p93 :rule refl :args (@t17)) % 0.39/0.62 (step @p94 :rule aci_norm :args ((= (or @t109 (or @t108 (or @t107 (or @t106 (or @t105 @t104))))) @t110))) % 0.39/0.62 (step @p95 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 0.39/0.62 (step @p96 :rule refl :args (@t106)) % 0.39/0.62 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t106 (not (and @t20 @t19))))) % 0.39/0.62 (step @p98 :rule bool-and-de-morgan :args (@t22 @t20 (and @t19))) % 0.39/0.62 (step @p99 :rule trans :premises (@p98 @p97)) % 0.39/0.62 (step @p100 :rule refl :args (@t107)) % 0.39/0.62 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t107 (not (and @t22 @t20 @t19))))) % 0.39/0.62 (step @p102 :rule bool-and-de-morgan :args (@t23 @t22 (and @t20 @t19))) % 0.39/0.63 (step @p103 :rule trans :premises (@p102 @p101)) % 0.39/0.63 (step @p104 :rule refl :args (@t108)) % 0.39/0.63 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t108 (not (and @t23 @t22 @t20 @t19))))) % 0.39/0.63 (step @p106 :rule bool-and-de-morgan :args (@t24 @t23 (and @t22 @t20 @t19))) % 0.39/0.63 (step @p107 :rule trans :premises (@p106 @p105)) % 0.39/0.63 (step @p108 :rule refl :args (@t109)) % 0.39/0.63 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t109 (not (and @t24 @t23 @t22 @t20 @t19))))) % 0.39/0.63 (step @p110 :rule bool-and-de-morgan :args (@t25 @t24 (and @t23 @t22 @t20 @t19))) % 0.39/0.63 (step @p111 :rule trans :premises (@p110 @p109)) % 0.39/0.63 (step @p112 :rule trans :premises (@p111 @p94)) % 0.39/0.63 (step @p113 :rule nary_cong :premises (@p112 @p93) :args ((or (not @t26) @t17))) % 0.39/0.63 (step @p114 :rule trans :premises (@p113 @p92)) % 0.39/0.63 (step @p115 :rule bool-impl-elim :args (@t26 @t17)) % 0.39/0.63 (step @p116 :rule trans :premises (@p115 @p114)) % 0.39/0.63 (step @p117 :rule cong :premises (@p116) :args (@t27)) % 0.39/0.63 (step @p118 :rule eq_resolve :premises (@p3 @p117)) % 0.39/0.63 (step @p119 :rule instantiate :premises (@p118) :args ((@list tptp.uri_ex_PersonAttribute @t92 tptp.uri_owl_DatatypeProperty @t87 tptp.uri_owl_FunctionalProperty @t82 @t77))) % 0.39/0.63 (step @p120 :rule bool-double-not-elim :args (@t83)) % 0.39/0.63 (step @p121 :rule nary_cong :premises (@p68 @p120) :args ((or @t99 (not @t84)))) % 0.39/0.63 (step @p122 :rule cnf_or_neg :args (@t99 6)) % 0.39/0.63 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.39/0.63 (step @p124 :rule reordering :premises (@p123) :args ((or @t83 @t99))) % 0.39/0.63 (step @p125 :rule chain_m_resolution :premises (@p124 @p66) :args (@t83 @t100 @t101)) % 0.39/0.63 (step @p126 :rule bool-double-not-elim :args (@t85)) % 0.39/0.63 (step @p127 :rule nary_cong :premises (@p68 @p126) :args ((or @t99 (not @t86)))) % 0.39/0.63 (step @p128 :rule cnf_or_neg :args (@t99 5)) % 0.39/0.63 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 0.39/0.63 (step @p130 :rule reordering :premises (@p129) :args ((or @t85 @t99))) % 0.39/0.63 (step @p131 :rule chain_m_resolution :premises (@p130 @p66) :args (@t85 @t100 @t101)) % 0.39/0.63 (step @p132 :rule bool-double-not-elim :args (@t88)) % 0.39/0.63 (step @p133 :rule nary_cong :premises (@p68 @p132) :args ((or @t99 (not @t89)))) % 0.39/0.63 (step @p134 :rule cnf_or_neg :args (@t99 4)) % 0.39/0.63 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 0.39/0.63 (step @p136 :rule reordering :premises (@p135) :args ((or @t88 @t99))) % 0.39/0.63 (step @p137 :rule chain_m_resolution :premises (@p136 @p66) :args (@t88 @t100 @t101)) % 0.39/0.63 (step @p138 :rule bool-double-not-elim :args (@t90)) % 0.39/0.63 (step @p139 :rule nary_cong :premises (@p68 @p138) :args ((or @t99 (not @t91)))) % 0.39/0.63 (step @p140 :rule cnf_or_neg :args (@t99 3)) % 0.39/0.63 (step @p141 :rule eq_resolve :premises (@p140 @p139)) % 0.39/0.63 (step @p142 :rule reordering :premises (@p141) :args ((or @t90 @t99))) % 0.39/0.63 (step @p143 :rule chain_m_resolution :premises (@p142 @p66) :args (@t90 @t100 @t101)) % 0.39/0.63 (step @p144 :rule bool-double-not-elim :args (@t93)) % 0.39/0.63 (step @p145 :rule nary_cong :premises (@p68 @p144) :args ((or @t99 (not @t94)))) % 0.39/0.63 (step @p146 :rule cnf_or_neg :args (@t99 2)) % 0.39/0.63 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 0.39/0.63 (step @p148 :rule reordering :premises (@p147) :args ((or @t93 @t99))) % 0.39/0.63 (step @p149 :rule chain_m_resolution :premises (@p148 @p66) :args (@t93 @t100 @t101)) % 0.39/0.63 (step @p150 :rule bool-double-not-elim :args (@t95)) % 0.39/0.63 (step @p151 :rule nary_cong :premises (@p68 @p150) :args ((or @t99 (not @t96)))) % 0.39/0.63 (step @p152 :rule cnf_or_neg :args (@t99 1)) % 0.39/0.63 (step @p153 :rule eq_resolve :premises (@p152 @p151)) % 0.39/0.63 (step @p154 :rule reordering :premises (@p153) :args ((or @t95 @t99))) % 0.39/0.63 (step @p155 :rule chain_m_resolution :premises (@p154 @p66) :args (@t95 @t100 @t101)) % 0.39/0.63 (step @p156 :rule cnf_or_pos :args (@t114)) % 0.39/0.63 (step @p157 :rule reordering :premises (@p156) :args ((or @t96 @t94 @t91 @t89 @t86 @t84 @t113 (not @t114)))) % 0.39/0.63 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p149 @p143 @p137 @p131 @p125 @p119) :args (@t113 (@list false false false false false false false) (@list @t95 @t93 @t90 @t88 @t85 @t83 @t114))) % 0.39/0.63 (step @p159 :rule bool-double-not-elim :args (@t97)) % 0.39/0.63 (step @p160 :rule nary_cong :premises (@p68 @p159) :args ((or @t99 (not @t98)))) % 0.39/0.63 (step @p161 :rule cnf_or_neg :args (@t99 0)) % 0.39/0.63 (step @p162 :rule eq_resolve :premises (@p161 @p160)) % 0.39/0.63 (step @p163 :rule reordering :premises (@p162) :args ((or @t97 @t99))) % 0.39/0.63 (step @p164 :rule chain_m_resolution :premises (@p163 @p66) :args (@t97 @t100 @t101)) % 0.39/0.63 (step @p165 :rule cnf_equiv_pos1 :args (@t113)) % 0.39/0.63 (step @p166 :rule reordering :premises (@p165) :args ((or @t98 @t112 (not @t113)))) % 0.39/0.63 (step @p167 :rule chain_m_resolution :premises (@p166 @p164 @p158) :args (@t112 @t115 (@list @t97 @t113))) % 0.39/0.63 (step @p168 :rule cnf_and_pos :args (@t112 4)) % 0.39/0.63 (step @p169 :rule reordering :premises (@p168) :args ((or @t111 (not @t112)))) % 0.39/0.63 (step @p170 :rule chain_m_resolution :premises (@p169 @p167) :args (@t111 @t116 (@list @t112))) % 0.39/0.63 (step @p171 :rule instantiate :premises (@p170) :args ((@list tptp.uri_ex_name))) % 0.39/0.63 (step @p172 :rule instantiate :premises (@p1) :args ((@list tptp.uri_ex_name tptp.uri_ex_PersonAttribute))) % 0.39/0.63 (step @p173 :rule not_or_elim :premises (@p64) :args (1)) % 0.39/0.63 (step @p174 :rule not_not_elim :premises (@p173)) % 0.39/0.63 (step @p175 :rule cnf_equiv_pos1 :args (@t118)) % 0.39/0.63 (step @p176 :rule reordering :premises (@p175) :args ((or @t71 @t117 (not @t118)))) % 0.39/0.63 (step @p177 :rule chain_m_resolution :premises (@p176 @p174 @p172) :args (@t117 @t115 (@list @t39 @t118))) % 0.39/0.63 (step @p178 :rule cnf_equiv_pos1 :args (@t122)) % 0.39/0.63 (step @p179 :rule reordering :premises (@p178) :args ((or (not @t117) @t121 (not @t122)))) % 0.39/0.63 (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p171) :args (@t121 @t115 (@list @t117 @t122))) % 0.39/0.63 (step @p181 :rule cnf_and_pos :args (@t121 1)) % 0.39/0.63 (step @p182 :rule reordering :premises (@p181) :args ((or @t120 @t123))) % 0.39/0.63 (step @p183 :rule chain_m_resolution :premises (@p182 @p180) :args (@t120 @t116 @t124)) % 0.39/0.63 (step @p184 :rule cnf_equiv_pos2 :args (@t125)) % 0.39/0.63 (step @p185 :rule reordering :premises (@p184) :args ((or @t36 (not @t120) (not @t125)))) % 0.39/0.63 (step @p186 :rule chain_m_resolution :premises (@p185 @p183 @p91) :args (@t36 @t115 (@list @t120 @t125))) % 0.39/0.63 (step @p187 :rule not_and :premises (@p5)) % 0.39/0.63 (step @p188 :rule chain_m_resolution :premises (@p187 @p186) :args ((not @t35) @t116 (@list @t36))) % 0.39/0.63 (step @p189 :rule cnf_equiv_pos2 :args (@t127)) % 0.39/0.63 (step @p190 :rule reordering :premises (@p189) :args ((or @t35 @t128 (not @t127)))) % 0.39/0.63 (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p90) :args (@t128 (@list true false) (@list @t35 @t127))) % 0.39/0.63 (step @p192 :rule not_or_elim :premises (@p64) :args (2)) % 0.39/0.63 (step @p193 :rule not_not_elim :premises (@p192)) % 0.39/0.63 (step @p194 :rule cnf_or_pos :args (@t131)) % 0.39/0.63 (step @p195 :rule reordering :premises (@p194) :args ((or @t70 @t126 @t130 (not @t131)))) % 0.39/0.63 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p191 @p89) :args (@t130 (@list false true false) (@list @t38 @t126 @t131))) % 0.39/0.63 (step @p197 :rule cnf_and_pos :args (@t121 2)) % 0.39/0.63 (step @p198 :rule reordering :premises (@p197) :args ((or @t119 @t123))) % 0.39/0.63 (step @p199 :rule chain_m_resolution :premises (@p198 @p180) :args (@t119 @t116 @t124)) % 0.39/0.63 (step @p200 :rule cnf_equiv_pos1 :args (@t132)) % 0.39/0.63 (step @p201 :rule reordering :premises (@p200) :args ((or (not @t119) @t129 @t133))) % 0.39/0.63 (step @p202 :rule chain_m_resolution :premises (@p201 @p199 @p196) :args (@t133 (@list false true) (@list @t119 @t129))) % 0.39/0.63 (step @p203 :rule quant-merge-prenex :args ((= (forall @t33 @t140) (forall (@list @t13 @t5 @t28 @t134) @t138)))) % 0.39/0.63 (step @p204 :rule alpha_equiv :args (@t141 (@list @t134) (@list @t1))) % 0.39/0.63 (step @p205 :rule refl :args (@t136)) % 0.39/0.63 (step @p206 :rule refl :args (@t137)) % 0.39/0.63 (step @p207 :rule nary_cong :premises (@p206 @p205 @p204) :args (@t142)) % 0.39/0.63 (step @p208 :rule quant-miniscope-or :args ((= @t140 @t142))) % 0.39/0.63 (step @p209 :rule trans :premises (@p208 @p207)) % 0.39/0.63 (step @p210 :rule symm :premises (@p209)) % 0.39/0.63 (step @p211 :rule cong :premises (@p210) :args ((forall @t33 @t143))) % 0.39/0.63 (step @p212 :rule trans :premises (@p211 @p203)) % 0.39/0.63 (step @p213 :rule aci_norm :args ((= (or (or @t137 @t136) @t29) @t143))) % 0.39/0.63 (step @p214 :rule refl :args (@t29)) % 0.39/0.63 (step @p215 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 0.39/0.63 (step @p216 :rule nary_cong :premises (@p215 @p214) :args ((or (not @t32) @t29))) % 0.39/0.63 (step @p217 :rule trans :premises (@p216 @p213)) % 0.39/0.63 (step @p218 :rule bool-impl-elim :args (@t32 @t29)) % 0.39/0.63 (step @p219 :rule trans :premises (@p218 @p217)) % 0.39/0.63 (step @p220 :rule cong :premises (@p219) :args (@t34)) % 0.39/0.63 (step @p221 :rule trans :premises (@p220 @p212)) % 0.39/0.63 (step @p222 :rule eq_resolve :premises (@p4 @p221)) % 0.39/0.63 (step @p223 :rule instantiate :premises (@p222) :args ((@list @t77 tptp.uri_rdfs_domain tptp.uri_foaf_Person tptp.uri_ex_name))) % 0.39/0.63 (step @p224 :rule cnf_or_pos :args (@t144)) % 0.39/0.63 (step @p225 :rule reordering :premises (@p224) :args ((or @t81 @t80 @t132 (not @t144)))) % 0.39/0.63 (step @p226 false :rule chain_m_resolution :premises (@p225 @p223 @p202 @p79 @p73) :args (false (@list false true false false) (@list @t144 @t132 @t79 @t78))) % 0.39/0.63 ) % 0.39/0.63 % SZS output end Proof % 0.39/0.63 % cvc5 exiting %------------------------------------------------------------------------------