%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWB016+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 : 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 08:57:08 AM UTC 2026 % Result : Theorem 0.29s 0.55s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB016+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 % 0.16/0.34 % Computer : n021.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 18:54:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.55 % SZS status Theorem % 0.29/0.55 % SZS output start Proof % 0.29/0.55 ( % 0.29/0.55 (declare-sort $$unsorted 0) % 0.29/0.55 (declare-const tptp.ic (-> $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.uri_owl_equivalentClass $$unsorted) % 0.29/0.55 (declare-const tptp.uri_rdfs_subClassOf $$unsorted) % 0.29/0.55 (declare-const tptp.icext (-> $$unsorted $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.uri_rdfs_domain $$unsorted) % 0.29/0.55 (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.uri_rdfs_subPropertyOf $$unsorted) % 0.29/0.55 (declare-const tptp.uri_rdfs_Class $$unsorted) % 0.29/0.55 (declare-const tptp.uri_rdf_type $$unsorted) % 0.29/0.55 (declare-const tptp.uri_rdf_Property $$unsorted) % 0.29/0.55 (declare-const tptp.ip (-> $$unsorted Bool)) % 0.29/0.55 (define @t1 () (@var "P" $$unsorted)) % 0.29/0.55 (define @t2 () (forall (@list @t1) (= (tptp.iext tptp.uri_rdf_type @t1 tptp.uri_rdf_Property) (tptp.ip @t1)))) % 0.29/0.55 (define @t3 () (@var "X" $$unsorted)) % 0.29/0.55 (define @t4 () (@var "C" $$unsorted)) % 0.29/0.55 (define @t5 () (tptp.icext @t4 @t3)) % 0.29/0.55 (define @t6 () (@var "Y" $$unsorted)) % 0.29/0.55 (define @t7 () (tptp.iext @t1 @t3 @t6)) % 0.29/0.55 (define @t8 () (tptp.iext tptp.uri_rdfs_domain @t1 @t4)) % 0.29/0.55 (define @t9 () (and @t8 @t7)) % 0.29/0.55 (define @t10 () (forall (@list @t1 @t4 @t3 @t6) (=> @t9 @t5))) % 0.29/0.55 (define @t11 () (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_domain tptp.uri_rdf_Property)) % 0.29/0.55 (define @t12 () (tptp.iext tptp.uri_rdfs_domain tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Class)) % 0.29/0.55 (define @t13 () (tptp.ip tptp.uri_owl_equivalentClass)) % 0.29/0.55 (define @t14 () (and (tptp.ic @t3) (tptp.ic @t6))) % 0.29/0.55 (define @t15 () (tptp.iext tptp.uri_owl_equivalentClass @t3 @t6)) % 0.29/0.55 (define @t16 () (@list @t3 @t6)) % 0.29/0.55 (define @t17 () (forall @t16 (=> @t15 @t14))) % 0.29/0.55 (define @t18 () (@var "C2" $$unsorted)) % 0.29/0.55 (define @t19 () (tptp.icext @t18 @t3)) % 0.29/0.55 (define @t20 () (@var "C1" $$unsorted)) % 0.29/0.55 (define @t21 () (tptp.icext @t20 @t3)) % 0.29/0.55 (define @t22 () (@list @t3)) % 0.29/0.55 (define @t23 () (forall @t22 (=> @t21 @t19))) % 0.29/0.55 (define @t24 () (tptp.ic @t18)) % 0.29/0.55 (define @t25 () (tptp.ic @t20)) % 0.29/0.55 (define @t26 () (and @t25 @t24 @t23)) % 0.29/0.55 (define @t27 () (tptp.iext tptp.uri_rdfs_subClassOf @t20 @t18)) % 0.29/0.55 (define @t28 () (= @t27 @t26)) % 0.29/0.55 (define @t29 () (@list @t20 @t18)) % 0.29/0.55 (define @t30 () (forall @t29 @t28)) % 0.29/0.55 (define @t31 () (@var "P2" $$unsorted)) % 0.29/0.55 (define @t32 () (tptp.iext @t31 @t3 @t6)) % 0.29/0.55 (define @t33 () (@var "P1" $$unsorted)) % 0.29/0.55 (define @t34 () (tptp.iext @t33 @t3 @t6)) % 0.29/0.55 (define @t35 () (forall @t16 (=> @t34 @t32))) % 0.29/0.55 (define @t36 () (tptp.ip @t31)) % 0.29/0.55 (define @t37 () (tptp.ip @t33)) % 0.29/0.55 (define @t38 () (and @t37 @t36 @t35)) % 0.29/0.55 (define @t39 () (tptp.iext tptp.uri_rdfs_subPropertyOf @t33 @t31)) % 0.29/0.55 (define @t40 () (= @t39 @t38)) % 0.29/0.55 (define @t41 () (forall (@list @t33 @t31) @t40)) % 0.29/0.55 (define @t42 () (tptp.iext tptp.uri_rdfs_subPropertyOf tptp.uri_owl_equivalentClass tptp.uri_rdfs_subClassOf)) % 0.29/0.55 (define @t43 () (forall @t16 (or (not @t15) (tptp.iext tptp.uri_rdfs_subClassOf @t3 @t6)))) % 0.29/0.55 (define @t44 () (@quantifiers_skolemize @t43 1)) % 0.29/0.55 (define @t45 () (@quantifiers_skolemize @t43 0)) % 0.29/0.55 (define @t46 () (@list @t45 @t44)) % 0.29/0.55 (define @t47 () (tptp.iext tptp.uri_rdf_type tptp.uri_rdfs_subClassOf tptp.uri_rdf_Property)) % 0.29/0.55 (define @t48 () (tptp.ip tptp.uri_rdfs_subClassOf)) % 0.29/0.55 (define @t49 () (= @t47 @t48)) % 0.29/0.55 (define @t50 () (= @t48 @t47)) % 0.29/0.55 (define @t51 () (@list false)) % 0.29/0.55 (define @t52 () (not @t7)) % 0.29/0.55 (define @t53 () (not @t8)) % 0.29/0.55 (define @t54 () (tptp.icext tptp.uri_rdf_Property tptp.uri_rdfs_subClassOf)) % 0.29/0.55 (define @t55 () (not @t12)) % 0.29/0.55 (define @t56 () (not @t11)) % 0.29/0.55 (define @t57 () (or @t56 @t55 @t54)) % 0.29/0.55 (define @t58 () (= @t47 @t54)) % 0.29/0.55 (define @t59 () (@list false false)) % 0.29/0.55 (define @t60 () (and @t13 @t48 @t43)) % 0.29/0.55 (define @t61 () (= @t42 @t60)) % 0.29/0.55 (define @t62 () (not @t60)) % 0.29/0.55 (define @t63 () (@list true false)) % 0.29/0.55 (define @t64 () (not @t43)) % 0.29/0.55 (define @t65 () (tptp.iext tptp.uri_owl_equivalentClass @t45 @t44)) % 0.29/0.55 (define @t66 () (tptp.iext tptp.uri_rdfs_subClassOf @t45 @t44)) % 0.29/0.55 (define @t67 () (not @t65)) % 0.29/0.55 (define @t68 () (or @t67 @t66)) % 0.29/0.55 (define @t69 () (@list true)) % 0.29/0.55 (define @t70 () (@list @t68)) % 0.29/0.55 (define @t71 () (tptp.icext @t44 @t3)) % 0.29/0.55 (define @t72 () (tptp.icext @t45 @t3)) % 0.29/0.55 (define @t73 () (forall @t22 (= @t72 @t71))) % 0.29/0.55 (define @t74 () (tptp.ic @t44)) % 0.29/0.55 (define @t75 () (tptp.ic @t45)) % 0.29/0.55 (define @t76 () (and @t75 @t74 @t73)) % 0.29/0.55 (define @t77 () (= @t65 @t76)) % 0.29/0.55 (define @t78 () (forall @t22 (or (not @t72) @t71))) % 0.29/0.55 (define @t79 () (@quantifiers_skolemize @t78 0)) % 0.29/0.55 (define @t80 () (and @t75 @t74)) % 0.29/0.55 (define @t81 () (or @t67 @t80)) % 0.29/0.55 (define @t82 () (not @t80)) % 0.29/0.55 (define @t83 () (@list @t80)) % 0.29/0.55 (define @t84 () (and @t75 @t74 @t78)) % 0.29/0.55 (define @t85 () (= @t66 @t84)) % 0.29/0.55 (define @t86 () (not @t84)) % 0.29/0.55 (define @t87 () (@list true false false)) % 0.29/0.55 (define @t88 () (tptp.icext @t45 @t79)) % 0.29/0.55 (define @t89 () (tptp.icext @t44 @t79)) % 0.29/0.55 (define @t90 () (not @t88)) % 0.29/0.55 (define @t91 () (or @t90 @t89)) % 0.29/0.55 (define @t92 () (@list @t91)) % 0.29/0.55 (define @t93 () (= @t88 @t89)) % 0.29/0.55 (assume @p1 @t2) % 0.29/0.55 (assume @p2 (forall (@list @t3 @t4) (= (tptp.iext tptp.uri_rdf_type @t3 @t4) @t5))) % 0.29/0.55 (assume @p3 @t10) % 0.29/0.55 (assume @p4 @t11) % 0.29/0.55 (assume @p5 @t12) % 0.29/0.55 (assume @p6 @t13) % 0.29/0.55 (assume @p7 @t17) % 0.29/0.55 (assume @p8 @t30) % 0.29/0.55 (assume @p9 @t41) % 0.29/0.55 (assume @p10 (forall @t29 (= (tptp.iext tptp.uri_owl_equivalentClass @t20 @t18) (and @t25 @t24 (forall @t22 (= @t21 @t19)))))) % 0.29/0.55 (assume @p11 (not @t42)) % 0.29/0.55 (assume @p12 true) % 0.29/0.55 (step @p13 :rule instantiate :premises (@p10) :args (@t46)) % 0.29/0.55 (step @p14 :rule eq-symm :args (@t47 @t48)) % 0.29/0.55 (step @p15 :rule refl :args (@t2)) % 0.29/0.55 (step @p16 :rule cong :premises (@p15 @p14) :args ((=> @t2 @t49))) % 0.29/0.55 (assume-push @p118 @t2) % 0.29/0.55 (step @p18 :rule instantiate :premises (@p1) :args ((@list tptp.uri_rdfs_subClassOf))) % 0.29/0.55 (step-pop @p119 :rule scope :premises (@p18)) % 0.29/0.55 (step @p19 :rule process_scope :premises (@p119) :args (@t49)) % 0.29/0.55 (step @p21 :rule eq_resolve :premises (@p19 @p16)) % 0.29/0.55 (step @p22 :rule implies_elim :premises (@p21)) % 0.29/0.55 (step @p23 :rule chain_m_resolution :premises (@p22 @p1) :args (@t50 @t51 (@list @t2))) % 0.29/0.55 (step @p24 :rule instantiate :premises (@p2) :args ((@list tptp.uri_rdfs_subClassOf tptp.uri_rdf_Property))) % 0.29/0.55 (step @p25 :rule aci_norm :args ((= (or (or @t53 @t52) @t5) (or @t53 @t52 @t5)))) % 0.29/0.55 (step @p26 :rule refl :args (@t5)) % 0.29/0.55 (step @p27 :rule bool-and-de-morgan :args (@t8 @t7 true)) % 0.29/0.55 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or (not @t9) @t5))) % 0.29/0.55 (step @p29 :rule trans :premises (@p28 @p25)) % 0.29/0.55 (step @p30 :rule bool-impl-elim :args (@t9 @t5)) % 0.29/0.55 (step @p31 :rule trans :premises (@p30 @p29)) % 0.29/0.55 (step @p32 :rule cong :premises (@p31) :args (@t10)) % 0.29/0.55 (step @p33 :rule eq_resolve :premises (@p3 @p32)) % 0.29/0.55 (step @p34 :rule instantiate :premises (@p33) :args ((@list tptp.uri_rdfs_domain tptp.uri_rdf_Property tptp.uri_rdfs_subClassOf tptp.uri_rdfs_Class))) % 0.29/0.55 (step @p35 :rule cnf_or_pos :args (@t57)) % 0.29/0.55 (step @p36 :rule reordering :premises (@p35) :args ((or @t56 @t55 @t54 (not @t57)))) % 0.29/0.55 (step @p37 :rule chain_m_resolution :premises (@p36 @p4 @p5 @p34) :args (@t54 (@list false false false) (@list @t11 @t12 @t57))) % 0.29/0.55 (step @p38 :rule cnf_equiv_pos2 :args (@t58)) % 0.29/0.55 (step @p39 :rule reordering :premises (@p38) :args ((or @t47 (not @t54) (not @t58)))) % 0.29/0.55 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p24) :args (@t47 @t59 (@list @t54 @t58))) % 0.29/0.55 (step @p41 :rule cnf_equiv_pos2 :args (@t50)) % 0.29/0.55 (step @p42 :rule reordering :premises (@p41) :args ((or @t48 (not @t47) (not @t50)))) % 0.29/0.55 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p23) :args (@t48 @t59 (@list @t47 @t50))) % 0.29/0.55 (step @p44 :rule bool-impl-elim :args (@t34 @t32)) % 0.29/0.55 (step @p45 :rule cong :premises (@p44) :args (@t35)) % 0.29/0.55 (step @p46 :rule refl :args (@t36)) % 0.29/0.55 (step @p47 :rule refl :args (@t37)) % 0.29/0.55 (step @p48 :rule nary_cong :premises (@p47 @p46 @p45) :args (@t38)) % 0.29/0.55 (step @p49 :rule refl :args (@t39)) % 0.29/0.55 (step @p50 :rule cong :premises (@p49 @p48) :args (@t40)) % 0.29/0.55 (step @p51 :rule cong :premises (@p50) :args (@t41)) % 0.29/0.55 (step @p52 :rule eq_resolve :premises (@p9 @p51)) % 0.29/0.55 (step @p53 :rule instantiate :premises (@p52) :args ((@list tptp.uri_owl_equivalentClass tptp.uri_rdfs_subClassOf))) % 0.29/0.55 (step @p54 :rule cnf_equiv_pos2 :args (@t61)) % 0.29/0.55 (step @p55 :rule reordering :premises (@p54) :args ((or @t42 @t62 (not @t61)))) % 0.29/0.55 (step @p56 :rule chain_m_resolution :premises (@p55 @p11 @p53) :args (@t62 @t63 (@list @t42 @t61))) % 0.29/0.55 (step @p57 :rule cnf_and_neg :args (@t60)) % 0.29/0.55 (step @p58 :rule reordering :premises (@p57) :args ((or (not @t13) @t60 (not @t48) @t64))) % 0.29/0.55 (step @p59 :rule chain_m_resolution :premises (@p58 @p6 @p56 @p43) :args (@t64 (@list false true false) (@list @t13 @t60 @t48))) % 0.29/0.55 (step @p60 :rule skolemize :premises (@p59)) % 0.29/0.55 (step @p61 :rule bool-double-not-elim :args (@t65)) % 0.29/0.55 (step @p62 :rule refl :args (@t68)) % 0.29/0.55 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t68 (not @t67)))) % 0.29/0.55 (step @p64 :rule cnf_or_neg :args (@t68 0)) % 0.29/0.55 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.29/0.55 (step @p66 :rule reordering :premises (@p65) :args ((or @t65 @t68))) % 0.29/0.55 (step @p67 :rule chain_m_resolution :premises (@p66 @p60) :args (@t65 @t69 @t70)) % 0.29/0.55 (step @p68 :rule cnf_equiv_pos1 :args (@t77)) % 0.29/0.55 (step @p69 :rule reordering :premises (@p68) :args ((or @t67 @t76 (not @t77)))) % 0.29/0.55 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p13) :args (@t76 @t59 (@list @t65 @t77))) % 0.29/0.55 (step @p71 :rule cnf_and_pos :args (@t76 2)) % 0.29/0.55 (step @p72 :rule reordering :premises (@p71) :args ((or @t73 (not @t76)))) % 0.29/0.55 (step @p73 :rule chain_m_resolution :premises (@p72 @p70) :args (@t73 @t51 (@list @t76))) % 0.29/0.55 (step @p74 :rule instantiate :premises (@p73) :args ((@list @t79))) % 0.29/0.55 (step @p75 :rule bool-impl-elim :args (@t15 @t14)) % 0.29/0.55 (step @p76 :rule cong :premises (@p75) :args (@t17)) % 0.29/0.55 (step @p77 :rule eq_resolve :premises (@p7 @p76)) % 0.29/0.55 (step @p78 :rule instantiate :premises (@p77) :args (@t46)) % 0.29/0.55 (step @p79 :rule cnf_or_pos :args (@t81)) % 0.29/0.55 (step @p80 :rule reordering :premises (@p79) :args ((or @t67 @t80 (not @t81)))) % 0.29/0.55 (step @p81 :rule chain_m_resolution :premises (@p80 @p67 @p78) :args (@t80 @t59 (@list @t65 @t81))) % 0.29/0.55 (step @p82 :rule cnf_and_pos :args (@t80 1)) % 0.29/0.55 (step @p83 :rule reordering :premises (@p82) :args ((or @t74 @t82))) % 0.29/0.55 (step @p84 :rule chain_m_resolution :premises (@p83 @p81) :args (@t74 @t51 @t83)) % 0.29/0.55 (step @p85 :rule cnf_and_pos :args (@t80 0)) % 0.29/0.55 (step @p86 :rule reordering :premises (@p85) :args ((or @t75 @t82))) % 0.29/0.55 (step @p87 :rule chain_m_resolution :premises (@p86 @p81) :args (@t75 @t51 @t83)) % 0.29/0.55 (step @p88 :rule bool-impl-elim :args (@t21 @t19)) % 0.29/0.55 (step @p89 :rule cong :premises (@p88) :args (@t23)) % 0.29/0.55 (step @p90 :rule refl :args (@t24)) % 0.29/0.55 (step @p91 :rule refl :args (@t25)) % 0.29/0.55 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89) :args (@t26)) % 0.29/0.55 (step @p93 :rule refl :args (@t27)) % 0.29/0.55 (step @p94 :rule cong :premises (@p93 @p92) :args (@t28)) % 0.29/0.55 (step @p95 :rule cong :premises (@p94) :args (@t30)) % 0.29/0.55 (step @p96 :rule eq_resolve :premises (@p8 @p95)) % 0.29/0.55 (step @p97 :rule instantiate :premises (@p96) :args (@t46)) % 0.29/0.55 (step @p98 :rule cnf_or_neg :args (@t68 1)) % 0.29/0.55 (step @p99 :rule chain_m_resolution :premises (@p98 @p60) :args ((not @t66) @t69 @t70)) % 0.29/0.55 (step @p100 :rule cnf_equiv_pos2 :args (@t85)) % 0.29/0.55 (step @p101 :rule reordering :premises (@p100) :args ((or @t66 @t86 (not @t85)))) % 0.29/0.55 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p97) :args (@t86 @t63 (@list @t66 @t85))) % 0.29/0.55 (step @p103 :rule cnf_and_neg :args (@t84)) % 0.29/0.55 (step @p104 :rule chain_m_resolution :premises (@p103 @p102 @p87 @p84) :args ((not @t78) @t87 (@list @t84 @t75 @t74))) % 0.29/0.55 (step @p105 :rule skolemize :premises (@p104)) % 0.29/0.55 (step @p106 :rule bool-double-not-elim :args (@t88)) % 0.29/0.55 (step @p107 :rule refl :args (@t91)) % 0.29/0.55 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t91 (not @t90)))) % 0.29/0.55 (step @p109 :rule cnf_or_neg :args (@t91 0)) % 0.29/0.55 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 0.29/0.55 (step @p111 :rule reordering :premises (@p110) :args ((or @t88 @t91))) % 0.29/0.55 (step @p112 :rule chain_m_resolution :premises (@p111 @p105) :args (@t88 @t69 @t92)) % 0.29/0.55 (step @p113 :rule cnf_or_neg :args (@t91 1)) % 0.29/0.55 (step @p114 :rule chain_m_resolution :premises (@p113 @p105) :args ((not @t89) @t69 @t92)) % 0.29/0.55 (step @p115 :rule cnf_equiv_pos1 :args (@t93)) % 0.29/0.55 (step @p116 :rule reordering :premises (@p115) :args ((or @t90 @t89 (not @t93)))) % 0.29/0.55 (step @p117 false :rule chain_m_resolution :premises (@p116 @p114 @p112 @p74) :args (false @t87 (@list @t89 @t88 @t93))) % 0.29/0.55 ) % 0.29/0.55 % SZS output end Proof % 0.29/0.55 % cvc5 exiting %------------------------------------------------------------------------------