%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWB024+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 : n004.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 08:57:12 AM UTC 2026 % Result : Theorem 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB024+2 : TPTP v9.2.1. Released v5.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 18:55:22 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort $$unsorted 0) % 0.36/0.56 (declare-const tptp.uri_owl_Restriction $$unsorted) % 0.36/0.56 (declare-const tptp.uri_ex_hasAncestor $$unsorted) % 0.36/0.56 (declare-const tptp.icext (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.uri_rdfs_subClassOf $$unsorted) % 0.36/0.56 (declare-const tptp.uri_rdf_type $$unsorted) % 0.36/0.56 (declare-const tptp.uri_ex_Person $$unsorted) % 0.36/0.56 (declare-const tptp.uri_owl_onProperty $$unsorted) % 0.36/0.56 (declare-const tptp.uri_xsd_nonNegativeInteger $$unsorted) % 0.36/0.56 (declare-const tptp.dat_str_1 $$unsorted) % 0.36/0.56 (declare-const tptp.ip (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.literal_typed (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.56 (declare-const tptp.uri_owl_minCardinality $$unsorted) % 0.36/0.56 (declare-const tptp.uri_owl_TransitiveProperty $$unsorted) % 0.36/0.56 (declare-const tptp.uri_ex_bob $$unsorted) % 0.36/0.56 (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.ic (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.uri_ex_alice $$unsorted) % 0.36/0.56 (define @t1 () (@var "X" $$unsorted)) % 0.36/0.56 (define @t2 () (@var "C" $$unsorted)) % 0.36/0.56 (define @t3 () (@var "Y" $$unsorted)) % 0.36/0.56 (define @t4 () (@var "P" $$unsorted)) % 0.36/0.56 (define @t5 () (tptp.iext @t4 @t1 @t3)) % 0.36/0.56 (define @t6 () (@list @t3)) % 0.36/0.56 (define @t7 () (exists @t6 @t5)) % 0.36/0.56 (define @t8 () (@var "Z" $$unsorted)) % 0.36/0.56 (define @t9 () (tptp.icext @t8 @t1)) % 0.36/0.56 (define @t10 () (= @t9 @t7)) % 0.36/0.56 (define @t11 () (@list @t1)) % 0.36/0.56 (define @t12 () (forall @t11 @t10)) % 0.36/0.56 (define @t13 () (tptp.iext tptp.uri_owl_onProperty @t8 @t4)) % 0.36/0.56 (define @t14 () (tptp.literal_typed tptp.dat_str_1 tptp.uri_xsd_nonNegativeInteger)) % 0.36/0.56 (define @t15 () (tptp.iext tptp.uri_owl_minCardinality @t8 @t14)) % 0.36/0.56 (define @t16 () (and @t15 @t13)) % 0.36/0.56 (define @t17 () (=> @t16 @t12)) % 0.36/0.56 (define @t18 () (@list @t8 @t4)) % 0.36/0.56 (define @t19 () (forall @t18 @t17)) % 0.36/0.56 (define @t20 () (@var "C2" $$unsorted)) % 0.36/0.56 (define @t21 () (tptp.icext @t20 @t1)) % 0.36/0.56 (define @t22 () (@var "C1" $$unsorted)) % 0.36/0.56 (define @t23 () (tptp.icext @t22 @t1)) % 0.36/0.56 (define @t24 () (forall @t11 (=> @t23 @t21))) % 0.36/0.56 (define @t25 () (tptp.ic @t20)) % 0.36/0.56 (define @t26 () (tptp.ic @t22)) % 0.36/0.56 (define @t27 () (and @t26 @t25 @t24)) % 0.36/0.56 (define @t28 () (tptp.iext tptp.uri_rdfs_subClassOf @t22 @t20)) % 0.36/0.56 (define @t29 () (= @t28 @t27)) % 0.36/0.56 (define @t30 () (forall (@list @t22 @t20) @t29)) % 0.36/0.56 (define @t31 () (tptp.iext @t4 @t1 @t8)) % 0.36/0.56 (define @t32 () (tptp.iext @t4 @t3 @t8)) % 0.36/0.56 (define @t33 () (and @t5 @t32)) % 0.36/0.56 (define @t34 () (@list @t1 @t3 @t8)) % 0.36/0.56 (define @t35 () (forall @t34 (=> @t33 @t31))) % 0.36/0.56 (define @t36 () (tptp.ip @t4)) % 0.36/0.56 (define @t37 () (and @t36 @t35)) % 0.36/0.56 (define @t38 () (tptp.icext tptp.uri_owl_TransitiveProperty @t4)) % 0.36/0.56 (define @t39 () (= @t38 @t37)) % 0.36/0.56 (define @t40 () (forall (@list @t4) @t39)) % 0.36/0.56 (define @t41 () (@var "BNODE_x" $$unsorted)) % 0.36/0.56 (define @t42 () (tptp.iext tptp.uri_ex_hasAncestor tptp.uri_ex_alice @t41)) % 0.36/0.56 (define @t43 () (tptp.iext tptp.uri_ex_hasAncestor tptp.uri_ex_bob @t41)) % 0.36/0.56 (define @t44 () (and @t43 @t42)) % 0.36/0.56 (define @t45 () (@list @t41)) % 0.36/0.56 (define @t46 () (exists @t45 @t44)) % 0.36/0.56 (define @t47 () (not @t46)) % 0.36/0.56 (define @t48 () (tptp.iext tptp.uri_ex_hasAncestor tptp.uri_ex_alice tptp.uri_ex_bob)) % 0.36/0.56 (define @t49 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_bob tptp.uri_ex_Person)) % 0.36/0.56 (define @t50 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_alice tptp.uri_ex_Person)) % 0.36/0.56 (define @t51 () (@var "BNODE_z" $$unsorted)) % 0.36/0.56 (define @t52 () (tptp.iext tptp.uri_owl_minCardinality @t51 @t14)) % 0.36/0.56 (define @t53 () (tptp.iext tptp.uri_owl_onProperty @t51 tptp.uri_ex_hasAncestor)) % 0.36/0.56 (define @t54 () (tptp.iext tptp.uri_rdf_type @t51 tptp.uri_owl_Restriction)) % 0.36/0.56 (define @t55 () (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_ex_Person @t51)) % 0.36/0.56 (define @t56 () (tptp.iext tptp.uri_rdf_type tptp.uri_ex_hasAncestor tptp.uri_owl_TransitiveProperty)) % 0.36/0.56 (define @t57 () (and @t56 @t55 @t54 @t53 @t52 @t50 @t49 @t48)) % 0.36/0.56 (define @t58 () (@list @t51)) % 0.36/0.56 (define @t59 () (exists @t58 @t57)) % 0.36/0.56 (define @t60 () (not @t52)) % 0.36/0.56 (define @t61 () (not @t53)) % 0.36/0.56 (define @t62 () (not @t54)) % 0.36/0.56 (define @t63 () (not @t55)) % 0.36/0.56 (define @t64 () (or @t63 @t62 @t61 @t60)) % 0.36/0.56 (define @t65 () (forall @t58 @t64)) % 0.36/0.56 (define @t66 () (not @t48)) % 0.36/0.56 (define @t67 () (not @t49)) % 0.36/0.56 (define @t68 () (not @t50)) % 0.36/0.56 (define @t69 () (not @t56)) % 0.36/0.56 (define @t70 () (or @t69 @t68 @t67 @t66 @t64)) % 0.36/0.56 (define @t71 () (or @t69 @t63 @t62 @t61 @t60 @t68 @t67 @t66)) % 0.36/0.56 (define @t72 () (forall @t58 (not @t57))) % 0.36/0.56 (define @t73 () (not @t72)) % 0.36/0.56 (define @t74 () (@var "BOUND_VARIABLE_7509" $$unsorted)) % 0.36/0.56 (define @t75 () (= (tptp.icext @t8 @t74) (not (forall @t6 (not (tptp.iext @t4 @t74 @t3)))))) % 0.36/0.56 (define @t76 () (not @t13)) % 0.36/0.56 (define @t77 () (not @t15)) % 0.36/0.56 (define @t78 () (or @t77 @t76 @t75)) % 0.36/0.56 (define @t79 () (@list @t74)) % 0.36/0.56 (define @t80 () (forall @t79 @t78)) % 0.36/0.56 (define @t81 () (forall @t79 @t75)) % 0.36/0.56 (define @t82 () (or @t77 @t76 @t81)) % 0.36/0.56 (define @t83 () (not @t5)) % 0.36/0.56 (define @t84 () (not (forall @t6 @t83))) % 0.36/0.56 (define @t85 () (forall @t11 (= @t9 @t84))) % 0.36/0.56 (define @t86 () (or @t77 @t76 @t85)) % 0.36/0.56 (define @t87 () (@quantifiers_skolemize @t65 0)) % 0.36/0.56 (define @t88 () (tptp.iext tptp.uri_owl_minCardinality @t87 @t14)) % 0.36/0.56 (define @t89 () (not @t88)) % 0.36/0.56 (define @t90 () (tptp.iext tptp.uri_owl_onProperty @t87 tptp.uri_ex_hasAncestor)) % 0.36/0.56 (define @t91 () (not @t90)) % 0.36/0.56 (define @t92 () (tptp.iext tptp.uri_rdfs_subClassOf tptp.uri_ex_Person @t87)) % 0.36/0.56 (define @t93 () (not @t92)) % 0.36/0.56 (define @t94 () (or @t93 (not (tptp.iext tptp.uri_rdf_type @t87 tptp.uri_owl_Restriction)) @t91 @t89)) % 0.36/0.56 (define @t95 () (@list true)) % 0.36/0.56 (define @t96 () (@list @t94)) % 0.36/0.56 (define @t97 () (forall @t6 (not (tptp.iext tptp.uri_ex_hasAncestor tptp.uri_ex_bob @t3)))) % 0.36/0.56 (define @t98 () (not @t97)) % 0.36/0.56 (define @t99 () (tptp.icext @t87 tptp.uri_ex_bob)) % 0.36/0.56 (define @t100 () (= @t99 @t98)) % 0.36/0.56 (define @t101 () (or @t89 @t91 @t100)) % 0.36/0.56 (define @t102 () (forall @t11 (or (not (tptp.icext tptp.uri_ex_Person @t1)) (tptp.icext @t87 @t1)))) % 0.36/0.56 (define @t103 () (and (tptp.ic tptp.uri_ex_Person) (tptp.ic @t87) @t102)) % 0.36/0.56 (define @t104 () (= @t92 @t103)) % 0.36/0.56 (define @t105 () (@list false false)) % 0.36/0.56 (define @t106 () (@list false)) % 0.36/0.56 (define @t107 () (tptp.icext tptp.uri_ex_Person tptp.uri_ex_bob)) % 0.36/0.56 (define @t108 () (= @t49 @t107)) % 0.36/0.56 (define @t109 () (not @t107)) % 0.36/0.56 (define @t110 () (or @t109 @t99)) % 0.36/0.56 (define @t111 () (@quantifiers_skolemize @t97 0)) % 0.36/0.56 (define @t112 () (tptp.iext tptp.uri_ex_hasAncestor tptp.uri_ex_bob @t111)) % 0.36/0.56 (define @t113 () (not @t112)) % 0.36/0.56 (define @t114 () (not @t113)) % 0.36/0.56 (define @t115 () (not @t32)) % 0.36/0.56 (define @t116 () (tptp.icext tptp.uri_owl_TransitiveProperty tptp.uri_ex_hasAncestor)) % 0.36/0.56 (define @t117 () (= @t56 @t116)) % 0.36/0.56 (define @t118 () (forall @t34 (or (not (tptp.iext tptp.uri_ex_hasAncestor @t1 @t3)) (not (tptp.iext tptp.uri_ex_hasAncestor @t3 @t8)) (tptp.iext tptp.uri_ex_hasAncestor @t1 @t8)))) % 0.36/0.56 (define @t119 () (and (tptp.ip tptp.uri_ex_hasAncestor) @t118)) % 0.36/0.56 (define @t120 () (= @t116 @t119)) % 0.36/0.56 (define @t121 () (forall @t45 (not @t44))) % 0.36/0.56 (define @t122 () (not @t121)) % 0.36/0.56 (define @t123 () (tptp.iext tptp.uri_ex_hasAncestor tptp.uri_ex_alice @t111)) % 0.36/0.56 (define @t124 () (not @t123)) % 0.36/0.56 (define @t125 () (or @t113 @t124)) % 0.36/0.56 (define @t126 () (or @t66 @t113 @t123)) % 0.36/0.56 (assume @p1 (forall (@list @t1 @t2) (= (tptp.iext tptp.uri_rdf_type @t1 @t2) (tptp.icext @t2 @t1)))) % 0.36/0.56 (assume @p2 @t19) % 0.36/0.56 (assume @p3 @t30) % 0.36/0.56 (assume @p4 @t40) % 0.36/0.56 (assume @p5 @t47) % 0.36/0.56 (assume @p6 @t59) % 0.36/0.56 (assume @p7 true) % 0.36/0.56 (step @p8 :rule quant-miniscope-or :args ((= (forall @t58 @t70) (or @t69 @t68 @t67 @t66 @t65)))) % 0.36/0.56 (step @p9 :rule aci_norm :args ((= @t71 @t70))) % 0.36/0.56 (step @p10 :rule cong :premises (@p9) :args ((forall @t58 @t71))) % 0.36/0.56 (step @p11 :rule trans :premises (@p10 @p8)) % 0.36/0.56 (step @p12 :rule aci_norm :args ((= (or @t69 (or @t63 (or @t62 (or @t61 (or @t60 (or @t68 (or @t67 @t66))))))) @t71))) % 0.36/0.56 (step @p13 :rule bool-and-de-morgan :args (@t49 @t48 true)) % 0.36/0.56 (step @p14 :rule refl :args (@t68)) % 0.36/0.56 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or @t68 (not (and @t49 @t48))))) % 0.36/0.56 (step @p16 :rule bool-and-de-morgan :args (@t50 @t49 (and @t48))) % 0.36/0.56 (step @p17 :rule trans :premises (@p16 @p15)) % 0.36/0.56 (step @p18 :rule refl :args (@t60)) % 0.36/0.56 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t60 (not (and @t50 @t49 @t48))))) % 0.36/0.56 (step @p20 :rule bool-and-de-morgan :args (@t52 @t50 (and @t49 @t48))) % 0.36/0.56 (step @p21 :rule trans :premises (@p20 @p19)) % 0.36/0.56 (step @p22 :rule refl :args (@t61)) % 0.36/0.56 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or @t61 (not (and @t52 @t50 @t49 @t48))))) % 0.36/0.56 (step @p24 :rule bool-and-de-morgan :args (@t53 @t52 (and @t50 @t49 @t48))) % 0.36/0.56 (step @p25 :rule trans :premises (@p24 @p23)) % 0.36/0.56 (step @p26 :rule refl :args (@t62)) % 0.36/0.56 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or @t62 (not (and @t53 @t52 @t50 @t49 @t48))))) % 0.36/0.56 (step @p28 :rule bool-and-de-morgan :args (@t54 @t53 (and @t52 @t50 @t49 @t48))) % 0.36/0.56 (step @p29 :rule trans :premises (@p28 @p27)) % 0.36/0.56 (step @p30 :rule refl :args (@t63)) % 0.36/0.56 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or @t63 (not (and @t54 @t53 @t52 @t50 @t49 @t48))))) % 0.36/0.56 (step @p32 :rule bool-and-de-morgan :args (@t55 @t54 (and @t53 @t52 @t50 @t49 @t48))) % 0.36/0.56 (step @p33 :rule trans :premises (@p32 @p31)) % 0.36/0.56 (step @p34 :rule refl :args (@t69)) % 0.36/0.56 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t69 (not (and @t55 @t54 @t53 @t52 @t50 @t49 @t48))))) % 0.36/0.56 (step @p36 :rule bool-and-de-morgan :args (@t56 @t55 (and @t54 @t53 @t52 @t50 @t49 @t48))) % 0.36/0.56 (step @p37 :rule trans :premises (@p36 @p35)) % 0.36/0.56 (step @p38 :rule trans :premises (@p37 @p12)) % 0.36/0.56 (step @p39 :rule cong :premises (@p38) :args (@t72)) % 0.36/0.56 (step @p40 :rule trans :premises (@p39 @p11)) % 0.36/0.56 (step @p41 :rule cong :premises (@p40) :args (@t73)) % 0.36/0.56 (step @p42 :rule exists-elim :args ((= @t59 @t73))) % 0.36/0.56 (step @p43 :rule trans :premises (@p42 @p41)) % 0.36/0.56 (step @p44 :rule eq_resolve :premises (@p6 @p43)) % 0.36/0.56 (step @p45 :rule not_or_elim :premises (@p44) :args (3)) % 0.36/0.56 (step @p46 :rule not_not_elim :premises (@p45)) % 0.36/0.56 (step @p47 :rule quant-merge-prenex :args ((= (forall @t18 @t80) (forall (@list @t8 @t4 @t74) @t78)))) % 0.36/0.56 (step @p48 :rule alpha_equiv :args (@t81 (@list @t74) (@list @t1))) % 0.36/0.56 (step @p49 :rule refl :args (@t76)) % 0.36/0.56 (step @p50 :rule refl :args (@t77)) % 0.36/0.56 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args (@t82)) % 0.36/0.56 (step @p52 :rule quant-miniscope-or :args ((= @t80 @t82))) % 0.36/0.56 (step @p53 :rule trans :premises (@p52 @p51)) % 0.36/0.56 (step @p54 :rule symm :premises (@p53)) % 0.36/0.56 (step @p55 :rule cong :premises (@p54) :args ((forall @t18 @t86))) % 0.36/0.56 (step @p56 :rule trans :premises (@p55 @p47)) % 0.36/0.56 (step @p57 :rule aci_norm :args ((= (or (or @t77 @t76) @t85) @t86))) % 0.36/0.56 (step @p58 :rule refl :args (@t85)) % 0.36/0.56 (step @p59 :rule bool-and-de-morgan :args (@t15 @t13 true)) % 0.36/0.56 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or (not @t16) @t85))) % 0.36/0.56 (step @p61 :rule trans :premises (@p60 @p57)) % 0.36/0.56 (step @p62 :rule bool-impl-elim :args (@t16 @t85)) % 0.36/0.56 (step @p63 :rule trans :premises (@p62 @p61)) % 0.36/0.56 (step @p64 :rule cong :premises (@p63) :args ((forall @t18 (=> @t16 @t85)))) % 0.36/0.56 (step @p65 :rule trans :premises (@p64 @p56)) % 0.36/0.56 (step @p66 :rule exists-elim :args ((= @t7 @t84))) % 0.36/0.56 (step @p67 :rule refl :args (@t9)) % 0.36/0.56 (step @p68 :rule cong :premises (@p67 @p66) :args (@t10)) % 0.36/0.56 (step @p69 :rule cong :premises (@p68) :args (@t12)) % 0.36/0.56 (step @p70 :rule refl :args (@t16)) % 0.36/0.56 (step @p71 :rule cong :premises (@p70 @p69) :args (@t17)) % 0.36/0.56 (step @p72 :rule cong :premises (@p71) :args (@t19)) % 0.36/0.56 (step @p73 :rule trans :premises (@p72 @p65)) % 0.36/0.56 (step @p74 :rule eq_resolve :premises (@p2 @p73)) % 0.36/0.56 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t87 tptp.uri_ex_hasAncestor tptp.uri_ex_bob))) % 0.36/0.56 (step @p76 :rule not_or_elim :premises (@p44) :args (4)) % 0.36/0.56 (step @p77 :rule skolemize :premises (@p76)) % 0.36/0.56 (step @p78 :rule bool-double-not-elim :args (@t88)) % 0.36/0.56 (step @p79 :rule refl :args (@t94)) % 0.36/0.56 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t94 (not @t89)))) % 0.36/0.56 (step @p81 :rule cnf_or_neg :args (@t94 3)) % 0.36/0.56 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.36/0.56 (step @p83 :rule reordering :premises (@p82) :args ((or @t88 @t94))) % 0.36/0.56 (step @p84 :rule chain_m_resolution :premises (@p83 @p77) :args (@t88 @t95 @t96)) % 0.36/0.56 (step @p85 :rule bool-double-not-elim :args (@t90)) % 0.36/0.56 (step @p86 :rule nary_cong :premises (@p79 @p85) :args ((or @t94 (not @t91)))) % 0.36/0.56 (step @p87 :rule cnf_or_neg :args (@t94 2)) % 0.36/0.56 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.36/0.56 (step @p89 :rule reordering :premises (@p88) :args ((or @t90 @t94))) % 0.36/0.56 (step @p90 :rule chain_m_resolution :premises (@p89 @p77) :args (@t90 @t95 @t96)) % 0.36/0.56 (step @p91 :rule cnf_or_pos :args (@t101)) % 0.36/0.56 (step @p92 :rule reordering :premises (@p91) :args ((or @t91 @t89 @t100 (not @t101)))) % 0.36/0.56 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p84 @p75) :args (@t100 (@list false false false) (@list @t90 @t88 @t101))) % 0.36/0.56 (step @p94 :rule bool-impl-elim :args (@t23 @t21)) % 0.36/0.56 (step @p95 :rule cong :premises (@p94) :args (@t24)) % 0.36/0.56 (step @p96 :rule refl :args (@t25)) % 0.36/0.56 (step @p97 :rule refl :args (@t26)) % 0.36/0.56 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95) :args (@t27)) % 0.36/0.56 (step @p99 :rule refl :args (@t28)) % 0.36/0.56 (step @p100 :rule cong :premises (@p99 @p98) :args (@t29)) % 0.36/0.56 (step @p101 :rule cong :premises (@p100) :args (@t30)) % 0.36/0.56 (step @p102 :rule eq_resolve :premises (@p3 @p101)) % 0.36/0.56 (step @p103 :rule instantiate :premises (@p102) :args ((@list tptp.uri_ex_Person @t87))) % 0.36/0.56 (step @p104 :rule bool-double-not-elim :args (@t92)) % 0.36/0.56 (step @p105 :rule nary_cong :premises (@p79 @p104) :args ((or @t94 (not @t93)))) % 0.36/0.56 (step @p106 :rule cnf_or_neg :args (@t94 0)) % 0.36/0.56 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.36/0.56 (step @p108 :rule reordering :premises (@p107) :args ((or @t92 @t94))) % 0.36/0.56 (step @p109 :rule chain_m_resolution :premises (@p108 @p77) :args (@t92 @t95 @t96)) % 0.36/0.56 (step @p110 :rule cnf_equiv_pos1 :args (@t104)) % 0.36/0.56 (step @p111 :rule reordering :premises (@p110) :args ((or @t93 @t103 (not @t104)))) % 0.36/0.56 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p103) :args (@t103 @t105 (@list @t92 @t104))) % 0.36/0.56 (step @p113 :rule cnf_and_pos :args (@t103 2)) % 0.36/0.56 (step @p114 :rule reordering :premises (@p113) :args ((or @t102 (not @t103)))) % 0.36/0.56 (step @p115 :rule chain_m_resolution :premises (@p114 @p112) :args (@t102 @t106 (@list @t103))) % 0.36/0.56 (step @p116 :rule instantiate :premises (@p115) :args ((@list tptp.uri_ex_bob))) % 0.36/0.56 (step @p117 :rule instantiate :premises (@p1) :args ((@list tptp.uri_ex_bob tptp.uri_ex_Person))) % 0.36/0.56 (step @p118 :rule not_or_elim :premises (@p44) :args (2)) % 0.36/0.56 (step @p119 :rule not_not_elim :premises (@p118)) % 0.36/0.56 (step @p120 :rule cnf_equiv_pos1 :args (@t108)) % 0.36/0.56 (step @p121 :rule reordering :premises (@p120) :args ((or @t67 @t107 (not @t108)))) % 0.36/0.56 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p117) :args (@t107 @t105 (@list @t49 @t108))) % 0.36/0.56 (step @p123 :rule cnf_or_pos :args (@t110)) % 0.36/0.56 (step @p124 :rule reordering :premises (@p123) :args ((or @t109 @t99 (not @t110)))) % 0.36/0.56 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p116) :args (@t99 @t105 (@list @t107 @t110))) % 0.36/0.56 (step @p126 :rule cnf_equiv_pos1 :args (@t100)) % 0.36/0.56 (step @p127 :rule reordering :premises (@p126) :args ((or (not @t99) @t98 (not @t100)))) % 0.36/0.56 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p93) :args (@t98 @t105 (@list @t99 @t100))) % 0.36/0.56 (step @p129 :rule refl :args (@t112)) % 0.36/0.56 (step @p130 :rule bool-double-not-elim :args (@t97)) % 0.36/0.56 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or (not @t98) @t112))) % 0.36/0.56 (step @p132 :rule bool-double-not-elim :args (@t112)) % 0.36/0.56 (step @p133 :rule refl :args (@t98)) % 0.36/0.56 (step @p134 :rule cong :premises (@p133 @p132) :args ((=> @t98 @t114))) % 0.36/0.56 (assume-push @p187 @t98) % 0.36/0.56 (step @p136 :rule skolemize :premises (@p128)) % 0.36/0.56 (step-pop @p188 :rule scope :premises (@p136)) % 0.36/0.56 (step @p137 :rule process_scope :premises (@p188) :args (@t114)) % 0.36/0.56 (step @p139 :rule eq_resolve :premises (@p137 @p134)) % 0.36/0.56 (step @p140 :rule implies_elim :premises (@p139)) % 0.36/0.56 (step @p141 :rule eq_resolve :premises (@p140 @p131)) % 0.36/0.56 (step @p142 :rule chain_m_resolution :premises (@p141 @p128) :args (@t112 @t95 (@list @t97))) % 0.36/0.56 (step @p143 :rule aci_norm :args ((= (or (or @t83 @t115) @t31) (or @t83 @t115 @t31)))) % 0.36/0.56 (step @p144 :rule refl :args (@t31)) % 0.36/0.56 (step @p145 :rule bool-and-de-morgan :args (@t5 @t32 true)) % 0.36/0.56 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or (not @t33) @t31))) % 0.36/0.56 (step @p147 :rule trans :premises (@p146 @p143)) % 0.36/0.56 (step @p148 :rule bool-impl-elim :args (@t33 @t31)) % 0.36/0.56 (step @p149 :rule trans :premises (@p148 @p147)) % 0.36/0.56 (step @p150 :rule cong :premises (@p149) :args (@t35)) % 0.36/0.56 (step @p151 :rule refl :args (@t36)) % 0.36/0.56 (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t37)) % 0.36/0.56 (step @p153 :rule refl :args (@t38)) % 0.36/0.56 (step @p154 :rule cong :premises (@p153 @p152) :args (@t39)) % 0.36/0.56 (step @p155 :rule cong :premises (@p154) :args (@t40)) % 0.36/0.56 (step @p156 :rule eq_resolve :premises (@p4 @p155)) % 0.36/0.56 (step @p157 :rule instantiate :premises (@p156) :args ((@list tptp.uri_ex_hasAncestor))) % 0.36/0.57 (step @p158 :rule instantiate :premises (@p1) :args ((@list tptp.uri_ex_hasAncestor tptp.uri_owl_TransitiveProperty))) % 0.36/0.57 (step @p159 :rule not_or_elim :premises (@p44) :args (0)) % 0.36/0.57 (step @p160 :rule not_not_elim :premises (@p159)) % 0.36/0.57 (step @p161 :rule cnf_equiv_pos1 :args (@t117)) % 0.36/0.57 (step @p162 :rule reordering :premises (@p161) :args ((or @t69 @t116 (not @t117)))) % 0.36/0.57 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p158) :args (@t116 @t105 (@list @t56 @t117))) % 0.36/0.57 (step @p164 :rule cnf_equiv_pos1 :args (@t120)) % 0.36/0.57 (step @p165 :rule reordering :premises (@p164) :args ((or (not @t116) @t119 (not @t120)))) % 0.36/0.57 (step @p166 :rule chain_m_resolution :premises (@p165 @p163 @p157) :args (@t119 @t105 (@list @t116 @t120))) % 0.36/0.57 (step @p167 :rule cnf_and_pos :args (@t119 1)) % 0.36/0.57 (step @p168 :rule reordering :premises (@p167) :args ((or @t118 (not @t119)))) % 0.36/0.57 (step @p169 :rule chain_m_resolution :premises (@p168 @p166) :args (@t118 @t106 (@list @t119))) % 0.36/0.57 (step @p170 :rule instantiate :premises (@p169) :args ((@list tptp.uri_ex_alice tptp.uri_ex_bob @t111))) % 0.36/0.57 (step @p171 :rule bool-double-not-elim :args ((forall @t45 (or (not @t43) (not @t42))))) % 0.36/0.57 (step @p172 :rule bool-and-de-morgan :args (@t43 @t42 true)) % 0.36/0.57 (step @p173 :rule cong :premises (@p172) :args (@t121)) % 0.36/0.57 (step @p174 :rule cong :premises (@p173) :args (@t122)) % 0.36/0.57 (step @p175 :rule exists-elim :args ((= @t46 @t122))) % 0.36/0.57 (step @p176 :rule trans :premises (@p175 @p174)) % 0.36/0.57 (step @p177 :rule cong :premises (@p176) :args (@t47)) % 0.36/0.57 (step @p178 :rule trans :premises (@p177 @p171)) % 0.36/0.57 (step @p179 :rule eq_resolve :premises (@p5 @p178)) % 0.36/0.57 (step @p180 :rule instantiate :premises (@p179) :args ((@list @t111))) % 0.36/0.57 (step @p181 :rule cnf_or_pos :args (@t125)) % 0.36/0.57 (step @p182 :rule reordering :premises (@p181) :args ((or @t113 @t124 (not @t125)))) % 0.36/0.57 (step @p183 :rule chain_m_resolution :premises (@p182 @p142 @p180) :args (@t124 @t105 (@list @t112 @t125))) % 0.36/0.57 (step @p184 :rule cnf_or_pos :args (@t126)) % 0.36/0.57 (step @p185 :rule reordering :premises (@p184) :args ((or @t66 @t113 @t123 (not @t126)))) % 0.36/0.57 (step @p186 false :rule chain_m_resolution :premises (@p185 @p183 @p170 @p142 @p46) :args (false (@list true false false false) (@list @t123 @t126 @t112 @t48))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------