%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWB006+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 : 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 08:57:03 AM UTC 2026 % Result : Theorem 0.31s 0.56s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWB006+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 % 0.18/0.35 % Computer : n025.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 18:51:01 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.56 % SZS status Theorem % 0.31/0.56 % SZS output start Proof % 0.31/0.56 ( % 0.31/0.56 (declare-sort $$unsorted 0) % 0.31/0.56 (declare-const tptp.literal_plain (-> $$unsorted $$unsorted)) % 0.31/0.56 (declare-const tptp.dat_str_abc $$unsorted) % 0.31/0.56 (declare-const tptp.uri_ex_u $$unsorted) % 0.31/0.56 (declare-const tptp.uri_ex_w $$unsorted) % 0.31/0.56 (declare-const tptp.iext (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.56 (declare-const tptp.uri_owl_sameAs $$unsorted) % 0.31/0.56 (define @t1 () (@var "Y" $$unsorted)) % 0.31/0.56 (define @t2 () (@var "X" $$unsorted)) % 0.31/0.56 (define @t3 () (forall (@list @t2 @t1) (= (tptp.iext tptp.uri_owl_sameAs @t2 @t1) (= @t2 @t1)))) % 0.31/0.56 (define @t4 () (tptp.iext tptp.uri_owl_sameAs tptp.uri_ex_u tptp.uri_ex_w)) % 0.31/0.56 (define @t5 () (@var "BNODE_x" $$unsorted)) % 0.31/0.56 (define @t6 () (tptp.iext tptp.uri_owl_sameAs @t5 tptp.uri_ex_w)) % 0.31/0.56 (define @t7 () (tptp.literal_plain tptp.dat_str_abc)) % 0.31/0.56 (define @t8 () (tptp.iext tptp.uri_owl_sameAs @t5 @t7)) % 0.31/0.56 (define @t9 () (tptp.iext tptp.uri_owl_sameAs tptp.uri_ex_u @t7)) % 0.31/0.56 (define @t10 () (and @t9 @t8 @t6)) % 0.31/0.56 (define @t11 () (@list @t5)) % 0.31/0.56 (define @t12 () (exists @t11 @t10)) % 0.31/0.56 (define @t13 () (= tptp.uri_ex_u tptp.uri_ex_w)) % 0.31/0.56 (define @t14 () (= @t4 @t13)) % 0.31/0.56 (define @t15 () (not @t13)) % 0.31/0.56 (define @t16 () (not @t6)) % 0.31/0.56 (define @t17 () (not @t8)) % 0.31/0.56 (define @t18 () (or @t17 @t16)) % 0.31/0.56 (define @t19 () (forall @t11 @t18)) % 0.31/0.56 (define @t20 () (not @t9)) % 0.31/0.56 (define @t21 () (or @t20 @t18)) % 0.31/0.56 (define @t22 () (or @t20 @t17 @t16)) % 0.31/0.56 (define @t23 () (forall @t11 (not @t10))) % 0.31/0.56 (define @t24 () (not @t23)) % 0.31/0.56 (define @t25 () (= tptp.uri_ex_u @t7)) % 0.31/0.56 (define @t26 () (= @t9 @t25)) % 0.31/0.56 (define @t27 () (@list false false)) % 0.31/0.56 (define @t28 () (@quantifiers_skolemize @t19 0)) % 0.31/0.56 (define @t29 () (tptp.iext tptp.uri_owl_sameAs @t28 tptp.uri_ex_w)) % 0.31/0.56 (define @t30 () (= @t29 (= @t28 tptp.uri_ex_w))) % 0.31/0.56 (define @t31 () (= tptp.uri_ex_w @t28)) % 0.31/0.56 (define @t32 () (= @t29 @t31)) % 0.31/0.56 (define @t33 () (@list false)) % 0.31/0.56 (define @t34 () (@list @t3)) % 0.31/0.56 (define @t35 () (not @t29)) % 0.31/0.56 (define @t36 () (tptp.iext tptp.uri_owl_sameAs @t28 @t7)) % 0.31/0.56 (define @t37 () (not @t36)) % 0.31/0.56 (define @t38 () (or @t37 @t35)) % 0.31/0.56 (define @t39 () (@list true)) % 0.31/0.56 (define @t40 () (@list @t38)) % 0.31/0.56 (define @t41 () (= @t36 (= @t28 @t7))) % 0.31/0.56 (define @t42 () (= @t7 @t28)) % 0.31/0.56 (define @t43 () (= @t36 @t42)) % 0.31/0.56 (define @t44 () (not @t42)) % 0.31/0.56 (define @t45 () (not @t31)) % 0.31/0.56 (define @t46 () (not @t25)) % 0.31/0.56 (define @t47 () (and @t25 @t31 @t15)) % 0.31/0.56 (assume @p1 @t3) % 0.31/0.56 (assume @p2 (not @t4)) % 0.31/0.56 (assume @p3 @t12) % 0.31/0.56 (assume @p4 true) % 0.31/0.56 (step @p5 :rule instantiate :premises (@p1) :args ((@list tptp.uri_ex_u tptp.uri_ex_w))) % 0.31/0.56 (step @p6 :rule cnf_equiv_pos2 :args (@t14)) % 0.31/0.56 (step @p7 :rule reordering :premises (@p6) :args ((or @t4 @t15 (not @t14)))) % 0.31/0.56 (step @p8 :rule chain_m_resolution :premises (@p7 @p2 @p5) :args (@t15 (@list true false) (@list @t4 @t14))) % 0.31/0.56 (step @p9 :rule instantiate :premises (@p1) :args ((@list tptp.uri_ex_u @t7))) % 0.31/0.56 (step @p10 :rule quant-miniscope-or :args ((= (forall @t11 @t21) (or @t20 @t19)))) % 0.31/0.56 (step @p11 :rule aci_norm :args ((= @t22 @t21))) % 0.31/0.56 (step @p12 :rule cong :premises (@p11) :args ((forall @t11 @t22))) % 0.31/0.56 (step @p13 :rule trans :premises (@p12 @p10)) % 0.31/0.56 (step @p14 :rule aci_norm :args ((= @t21 @t22))) % 0.31/0.56 (step @p15 :rule bool-and-de-morgan :args (@t8 @t6 true)) % 0.31/0.56 (step @p16 :rule refl :args (@t20)) % 0.31/0.56 (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((or @t20 (not (and @t8 @t6))))) % 0.31/0.56 (step @p18 :rule bool-and-de-morgan :args (@t9 @t8 (and @t6))) % 0.31/0.56 (step @p19 :rule trans :premises (@p18 @p17)) % 0.31/0.56 (step @p20 :rule trans :premises (@p19 @p14)) % 0.31/0.56 (step @p21 :rule cong :premises (@p20) :args (@t23)) % 0.31/0.56 (step @p22 :rule trans :premises (@p21 @p13)) % 0.31/0.56 (step @p23 :rule cong :premises (@p22) :args (@t24)) % 0.31/0.56 (step @p24 :rule exists-elim :args ((= @t12 @t24))) % 0.31/0.56 (step @p25 :rule trans :premises (@p24 @p23)) % 0.31/0.56 (step @p26 :rule eq_resolve :premises (@p3 @p25)) % 0.31/0.56 (step @p27 :rule not_or_elim :premises (@p26) :args (0)) % 0.31/0.56 (step @p28 :rule not_not_elim :premises (@p27)) % 0.31/0.56 (step @p29 :rule cnf_equiv_pos1 :args (@t26)) % 0.31/0.56 (step @p30 :rule reordering :premises (@p29) :args ((or @t20 @t25 (not @t26)))) % 0.31/0.56 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p9) :args (@t25 @t27 (@list @t9 @t26))) % 0.31/0.56 (step @p32 :rule eq-symm :args (@t28 tptp.uri_ex_w)) % 0.31/0.56 (step @p33 :rule refl :args (@t29)) % 0.31/0.56 (step @p34 :rule cong :premises (@p33 @p32) :args (@t30)) % 0.31/0.56 (step @p35 :rule refl :args (@t3)) % 0.31/0.56 (step @p36 :rule cong :premises (@p35 @p34) :args ((=> @t3 @t30))) % 0.31/0.56 (assume-push @p100 @t3) % 0.31/0.56 (step @p38 :rule instantiate :premises (@p1) :args ((@list @t28 tptp.uri_ex_w))) % 0.31/0.56 (step-pop @p101 :rule scope :premises (@p38)) % 0.31/0.56 (step @p39 :rule process_scope :premises (@p101) :args (@t30)) % 0.31/0.56 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 0.31/0.56 (step @p42 :rule implies_elim :premises (@p41)) % 0.31/0.56 (step @p43 :rule chain_m_resolution :premises (@p42 @p1) :args (@t32 @t33 @t34)) % 0.31/0.56 (step @p44 :rule not_or_elim :premises (@p26) :args (1)) % 0.31/0.56 (step @p45 :rule skolemize :premises (@p44)) % 0.31/0.56 (step @p46 :rule bool-double-not-elim :args (@t29)) % 0.31/0.56 (step @p47 :rule refl :args (@t38)) % 0.31/0.56 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t38 (not @t35)))) % 0.31/0.56 (step @p49 :rule cnf_or_neg :args (@t38 1)) % 0.31/0.56 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 0.31/0.56 (step @p51 :rule reordering :premises (@p50) :args ((or @t29 @t38))) % 0.31/0.56 (step @p52 :rule chain_m_resolution :premises (@p51 @p45) :args (@t29 @t39 @t40)) % 0.31/0.56 (step @p53 :rule cnf_equiv_pos1 :args (@t32)) % 0.31/0.56 (step @p54 :rule reordering :premises (@p53) :args ((or @t35 @t31 (not @t32)))) % 0.31/0.56 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p43) :args (@t31 @t27 (@list @t29 @t32))) % 0.31/0.56 (step @p56 :rule eq-symm :args (@t28 @t7)) % 0.31/0.56 (step @p57 :rule refl :args (@t36)) % 0.31/0.56 (step @p58 :rule cong :premises (@p57 @p56) :args (@t41)) % 0.31/0.56 (step @p59 :rule cong :premises (@p35 @p58) :args ((=> @t3 @t41))) % 0.31/0.56 (assume-push @p102 @t3) % 0.31/0.56 (step @p61 :rule instantiate :premises (@p1) :args ((@list @t28 @t7))) % 0.31/0.56 (step-pop @p103 :rule scope :premises (@p61)) % 0.31/0.56 (step @p62 :rule process_scope :premises (@p103) :args (@t41)) % 0.31/0.56 (step @p64 :rule eq_resolve :premises (@p62 @p59)) % 0.31/0.56 (step @p65 :rule implies_elim :premises (@p64)) % 0.31/0.56 (step @p66 :rule chain_m_resolution :premises (@p65 @p1) :args (@t43 @t33 @t34)) % 0.31/0.56 (step @p67 :rule bool-double-not-elim :args (@t36)) % 0.31/0.56 (step @p68 :rule nary_cong :premises (@p47 @p67) :args ((or @t38 (not @t37)))) % 0.31/0.56 (step @p69 :rule cnf_or_neg :args (@t38 0)) % 0.31/0.56 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.31/0.56 (step @p71 :rule reordering :premises (@p70) :args ((or @t36 @t38))) % 0.31/0.56 (step @p72 :rule chain_m_resolution :premises (@p71 @p45) :args (@t36 @t39 @t40)) % 0.31/0.56 (step @p73 :rule cnf_equiv_pos1 :args (@t43)) % 0.31/0.56 (step @p74 :rule reordering :premises (@p73) :args ((or @t37 @t42 (not @t43)))) % 0.31/0.56 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p66) :args (@t42 @t27 (@list @t36 @t43))) % 0.31/0.56 (step @p76 :rule refl :args (@t44)) % 0.31/0.56 (step @p77 :rule bool-double-not-elim :args (@t13)) % 0.31/0.56 (step @p78 :rule refl :args (@t45)) % 0.31/0.56 (step @p79 :rule refl :args (@t46)) % 0.31/0.56 (step @p80 :rule nary_cong :premises (@p79 @p78 @p77 @p76) :args ((or @t46 @t45 (not @t15) @t44))) % 0.31/0.56 (assume-push @p104 @t25) % 0.31/0.56 (assume-push @p105 @t31) % 0.31/0.56 (assume-push @p106 @t15) % 0.31/0.56 (step @p84 :rule false_intro :premises (@p8)) % 0.31/0.56 (step @p85 :rule symm :premises (@p55)) % 0.31/0.56 (step @p86 :rule symm :premises (@p31)) % 0.31/0.56 (step @p87 :rule cong :premises (@p86 @p85) :args (@t42)) % 0.31/0.56 (step @p88 :rule trans :premises (@p87 @p84)) % 0.31/0.56 (step @p89 :rule false_elim :premises (@p88)) % 0.31/0.56 (step-pop @p107 :rule scope :premises (@p89)) % 0.31/0.56 (step-pop @p108 :rule scope :premises (@p107)) % 0.31/0.56 (step-pop @p109 :rule scope :premises (@p108)) % 0.31/0.56 (step @p90 :rule process_scope :premises (@p109) :args (@t44)) % 0.31/0.56 (step @p94 :rule implies_elim :premises (@p90)) % 0.31/0.56 (step @p95 :rule cnf_and_neg :args (@t47)) % 0.31/0.56 (step @p96 :rule resolution :premises (@p95 @p94) :args (true @t47)) % 0.31/0.56 (step @p97 :rule eq_resolve :premises (@p96 @p80)) % 0.31/0.56 (step @p98 :rule reordering :premises (@p97) :args ((or @t13 @t46 @t45 @t44))) % 0.31/0.56 (step @p99 false :rule chain_m_resolution :premises (@p98 @p75 @p55 @p31 @p8) :args (false (@list false false false true) (@list @t42 @t31 @t25 @t13))) % 0.31/0.56 ) % 0.31/0.56 % SZS output end Proof % 0.31/0.56 % cvc5 exiting %------------------------------------------------------------------------------