%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PHI045^6 : TPTP v9.2.1. Released v9.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:43:16 AM UTC 2026 % Result : Theorem 0.35s 0.56s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PHI045^6 : TPTP v9.2.1. Released v9.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n006.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 12:54:19 EDT 2026 % 0.15/0.34 % CPUTime : % 0.25/0.50 %----Proving TH0 % 0.35/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.35/0.56 % SZS status Theorem % 0.35/0.56 % SZS output start Proof % 0.35/0.56 ( % 0.35/0.56 (declare-sort tptp.entity 0) % 0.35/0.56 (declare-const tptp.god_like (-> tptp.entity Bool)) % 0.35/0.56 (declare-const tptp.positive_property (-> (-> tptp.entity Bool) Bool)) % 0.35/0.56 (define @t1 () (@var "X" tptp.entity)) % 0.35/0.56 (define @t2 () (not (= @t1 @t1))) % 0.35/0.56 (define @t3 () (@list @t1)) % 0.35/0.56 (define @t4 () (lambda @t3 @t2)) % 0.35/0.56 (define @t5 () (not (_ tptp.positive_property @t4))) % 0.35/0.56 (define @t6 () (@var "P2" (-> tptp.entity Bool))) % 0.35/0.56 (define @t7 () (@var "Y" tptp.entity)) % 0.35/0.56 (define @t8 () (@var "P1" (-> tptp.entity Bool))) % 0.35/0.56 (define @t9 () (_ tptp.positive_property tptp.god_like)) % 0.35/0.56 (define @t10 () (_ tptp.god_like @t1)) % 0.35/0.56 (define @t11 () (exists @t3 @t10)) % 0.35/0.56 (define @t12 () (not @t11)) % 0.35/0.56 (define @t13 () (tptp.god_like @t1)) % 0.35/0.56 (define @t14 () (forall @t3 (not @t13))) % 0.35/0.56 (define @t15 () (not @t10)) % 0.35/0.56 (define @t16 () (forall @t3 @t15)) % 0.35/0.56 (define @t17 () (not @t16)) % 0.35/0.56 (define @t18 () (tptp.positive_property tptp.god_like)) % 0.35/0.56 (define @t19 () (@var "BOUND_VARIABLE_7475" tptp.entity)) % 0.35/0.56 (define @t20 () (lambda (@list @t19) false)) % 0.35/0.56 (define @t21 () (@purify @t20)) % 0.35/0.56 (define @t22 () (tptp.positive_property @t21)) % 0.35/0.56 (define @t23 () (_ tptp.positive_property @t21)) % 0.35/0.56 (define @t24 () (= tptp.god_like @t21)) % 0.35/0.56 (define @t25 () (not @t24)) % 0.35/0.56 (define @t26 () (not @t18)) % 0.35/0.56 (define @t27 () (not @t22)) % 0.35/0.56 (define @t28 () (and @t18 @t24 @t27)) % 0.35/0.56 (define @t29 () (@const 0 tptp.entity)) % 0.35/0.56 (define @t30 () (tptp.god_like @t29)) % 0.35/0.56 (define @t31 () (_ @t20 @t29)) % 0.35/0.56 (define @t32 () (_ @t21 @t29)) % 0.35/0.56 (define @t33 () (= @t30 @t32)) % 0.35/0.56 (define @t34 () (not @t33)) % 0.35/0.56 (define @t35 () (or @t24 @t34)) % 0.35/0.56 (assume @p1 @t5) % 0.35/0.56 (assume @p2 (forall (@list @t8 @t6) (=> (and (_ tptp.positive_property @t8) (forall (@list @t7) (=> (_ @t8 @t7) (_ @t6 @t7)))) (_ tptp.positive_property @t6)))) % 0.35/0.56 (assume @p3 @t9) % 0.35/0.56 (assume @p4 @t12) % 0.35/0.56 (assume @p5 true) % 0.35/0.56 (step @p6 :rule bool-double-not-elim :args (@t14)) % 0.35/0.56 (step @p7 :rule refl :args (@t13)) % 0.35/0.56 (step @p8 :rule refl :args (@t10)) % 0.35/0.56 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t10 @t13))) % 0.35/0.56 (step @p10 :rule symm :premises (@p9)) % 0.35/0.56 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 0.35/0.56 (step @p12 :rule cong :premises (@p11) :args (@t15)) % 0.35/0.56 (step @p13 :rule cong :premises (@p12) :args (@t16)) % 0.35/0.56 (step @p14 :rule cong :premises (@p13) :args (@t17)) % 0.35/0.56 (step @p15 :rule exists-elim :args ((= @t11 @t17))) % 0.35/0.56 (step @p16 :rule trans :premises (@p15 @p14)) % 0.35/0.56 (step @p17 :rule cong :premises (@p16) :args (@t12)) % 0.35/0.56 (step @p18 :rule trans :premises (@p17 @p6)) % 0.35/0.56 (step @p19 :rule eq_resolve :premises (@p4 @p18)) % 0.35/0.56 (step @p20 :rule refl :args (@t18)) % 0.35/0.56 (step @p21 :rule refl :args (@t9)) % 0.35/0.56 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t9 @t18))) % 0.35/0.56 (step @p23 :rule symm :premises (@p22)) % 0.35/0.56 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.35/0.56 (step @p25 :rule eq_resolve :premises (@p3 @p24)) % 0.35/0.56 (step @p26 :rule refl :args (@t22)) % 0.35/0.56 (step @p27 :rule refl :args (@t23)) % 0.35/0.56 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t23 @t22))) % 0.35/0.56 (step @p29 :rule symm :premises (@p28)) % 0.35/0.56 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.35/0.56 (step @p31 :rule eq-refl :args (@t20)) % 0.35/0.56 (step @p32 :rule refl :args (@t20)) % 0.35/0.56 (step @p33 :rule symm :premises (@p32)) % 0.35/0.56 (step @p34 :rule refl :args (@t20)) % 0.35/0.56 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t20 @t20))) % 0.35/0.56 (step @p36 :rule trans :premises (@p35 @p31)) % 0.35/0.56 (step @p37 :rule skolem_intro :args (@t21)) % 0.35/0.56 (step @p38 :rule cong :premises (@p34 @p37) :args ((= @t20 @t21))) % 0.35/0.56 (step @p39 :rule trans :premises (@p38 @p36)) % 0.35/0.56 (step @p40 :rule true_elim :premises (@p39)) % 0.35/0.56 (step @p41 :rule refl :args (tptp.positive_property)) % 0.35/0.56 (step @p42 :rule ho_cong :premises (@p41 @p40)) % 0.35/0.56 (step @p43 :rule trans :premises (@p42 @p30)) % 0.35/0.56 (step @p44 :rule cong :premises (@p43) :args ((not (_ tptp.positive_property @t20)))) % 0.35/0.56 (step @p45 :rule symm :premises (@p32)) % 0.35/0.56 (step @p46 :rule alpha_equiv :args ((lambda @t3 false) (@list @t1) (@list @t19))) % 0.35/0.56 (step @p47 :rule trans :premises (@p46 @p45)) % 0.35/0.56 (step @p48 :rule evaluate :args ((not true))) % 0.35/0.56 (step @p49 :rule eq-refl :args (@t1)) % 0.35/0.56 (step @p50 :rule cong :premises (@p49) :args (@t2)) % 0.35/0.56 (step @p51 :rule trans :premises (@p50 @p48)) % 0.35/0.56 (step @p52 :rule cong :premises (@p51) :args (@t4)) % 0.35/0.56 (step @p53 :rule trans :premises (@p52 @p47)) % 0.35/0.56 (step @p54 :rule ho_cong :premises (@p41 @p53)) % 0.35/0.56 (step @p55 :rule cong :premises (@p54) :args (@t5)) % 0.35/0.56 (step @p56 :rule trans :premises (@p55 @p44)) % 0.35/0.56 (step @p57 :rule eq_resolve :premises (@p1 @p56)) % 0.35/0.56 (step @p58 :rule refl :args (@t25)) % 0.35/0.56 (step @p59 :rule refl :args (@t26)) % 0.35/0.56 (step @p60 :rule bool-double-not-elim :args (@t22)) % 0.35/0.56 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58) :args ((or (not @t27) @t26 @t25))) % 0.35/0.56 (assume-push @p118 @t18) % 0.35/0.56 (assume-push @p119 @t24) % 0.35/0.56 (assume-push @p120 @t27) % 0.35/0.56 (step @p65 :rule evaluate :args ((= false true))) % 0.35/0.56 (step @p66 :rule true_intro :premises (@p25)) % 0.35/0.56 (step @p67 :rule symm :premises (@p119)) % 0.35/0.56 (step @p68 :rule cong :premises (@p67) :args (@t22)) % 0.35/0.56 (step @p69 :rule false_intro :premises (@p57)) % 0.35/0.56 (step @p70 :rule symm :premises (@p69)) % 0.35/0.56 (step @p71 :rule trans :premises (@p70 @p68 @p66)) % 0.35/0.56 (step @p72 false :rule eq_resolve :premises (@p71 @p65)) % 0.35/0.56 (step-pop @p121 :rule scope :premises (@p72)) % 0.35/0.57 (step-pop @p122 :rule scope :premises (@p121)) % 0.35/0.57 (step-pop @p123 :rule scope :premises (@p122)) % 0.35/0.57 (step @p73 :rule process_scope :premises (@p123) :args (false)) % 0.35/0.57 (assume-push @p124 @t27) % 0.35/0.57 (assume-push @p125 @t18) % 0.35/0.57 (assume-push @p126 @t24) % 0.35/0.57 (step @p80 :rule and_intro :premises (@p25 @p126 @p57)) % 0.35/0.57 (step-pop @p127 :rule scope :premises (@p80)) % 0.35/0.57 (step-pop @p128 :rule scope :premises (@p127)) % 0.35/0.57 (step-pop @p129 :rule scope :premises (@p128)) % 0.35/0.57 (step @p81 :rule process_scope :premises (@p129) :args (@t28)) % 0.35/0.57 (step @p85 :rule implies_elim :premises (@p81)) % 0.35/0.57 (step @p86 :rule resolution :premises (@p85 @p73) :args (true @t28)) % 0.35/0.57 (step @p87 :rule not_and :premises (@p86)) % 0.35/0.57 (step @p88 :rule eq_resolve :premises (@p87 @p61)) % 0.35/0.57 (step @p89 :rule chain_m_resolution :premises (@p88 @p57 @p25) :args (@t25 (@list true false) (@list @t22 @t18))) % 0.35/0.57 (step @p90 :rule bool-double-not-elim :args (@t30)) % 0.35/0.57 (step @p91 :rule bool-eq-false :args (@t30)) % 0.35/0.57 (step @p92 :rule evaluate :args ((not false))) % 0.35/0.57 (step @p93 :rule beta-reduce :args ((= @t31 false))) % 0.35/0.57 (step @p94 :rule cong :premises (@p93) :args ((not @t31))) % 0.35/0.57 (step @p95 :rule trans :premises (@p94 @p92)) % 0.35/0.57 (step @p96 :rule refl :args (@t29)) % 0.35/0.57 (step @p97 :rule ho_cong :premises (@p37 @p96)) % 0.35/0.57 (step @p98 :rule cong :premises (@p97) :args ((not @t32))) % 0.35/0.57 (step @p99 :rule bool-eq-false :args (@t32)) % 0.35/0.57 (step @p100 :rule trans :premises (@p99 @p98 @p95)) % 0.35/0.57 (step @p101 :rule true_elim :premises (@p100)) % 0.35/0.57 (step @p102 :rule refl :args (@t30)) % 0.35/0.57 (step @p103 :rule cong :premises (@p102 @p101) :args (@t33)) % 0.35/0.57 (step @p104 :rule trans :premises (@p103 @p91)) % 0.35/0.57 (step @p105 :rule cong :premises (@p104) :args (@t34)) % 0.35/0.57 (step @p106 :rule trans :premises (@p105 @p90)) % 0.35/0.57 (step @p107 :rule refl :args (@t24)) % 0.35/0.57 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t35)) % 0.35/0.57 ; WARNING: add trust step for TRUST % 0.35/0.57 ; trust TRUST THEORY_LEMMA % 0.35/0.57 (step @p109 :rule trust :premises () :args (@t35)) % 0.35/0.57 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 0.35/0.57 (step @p111 :rule chain_m_resolution :premises (@p110 @p89) :args (@t30 (@list true) (@list @t24))) % 0.35/0.57 (assume-push @p130 @t14) % 0.35/0.57 (step @p113 :rule instantiate :premises (@p19) :args ((@list @t29))) % 0.35/0.57 (step-pop @p131 :rule scope :premises (@p113)) % 0.35/0.57 (step @p114 :rule process_scope :premises (@p131) :args ((not @t30))) % 0.35/0.57 (step @p116 :rule implies_elim :premises (@p114)) % 0.35/0.57 (step @p117 false :rule chain_m_resolution :premises (@p116 @p111 @p19) :args (false (@list false false) (@list @t30 @t14))) % 0.35/0.57 ) % 0.35/0.57 % SZS output end Proof % 0.35/0.57 % cvc5 exiting %------------------------------------------------------------------------------