%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV288^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:55:43 AM UTC 2026 % Result : Theorem 0.47s 0.63s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEV288^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n017.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 18:23:46 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.47/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.47/0.63 % SZS status Theorem % 0.47/0.63 % SZS output start Proof % 0.47/0.63 ( % 0.47/0.63 (declare-sort tptp.a 0) % 0.47/0.63 (define @t1 () (@var "Y" tptp.a)) % 0.47/0.63 (define @t2 () (@var "X" tptp.a)) % 0.47/0.63 (define @t3 () (@list @t2 @t1)) % 0.47/0.63 (define @t4 () (lambda @t3 (= @t2 @t1))) % 0.47/0.63 (define @t5 () (@var "Xq" (-> tptp.a Bool))) % 0.47/0.63 (define @t6 () (_ @t5 @t1)) % 0.47/0.63 (define @t7 () (_ @t5 @t2)) % 0.47/0.63 (define @t8 () (@list @t5)) % 0.47/0.63 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.47/0.63 (define @t10 () (lambda @t3 @t9)) % 0.47/0.63 (define @t11 () (= @t10 @t4)) % 0.47/0.63 (define @t12 () (not @t11)) % 0.47/0.63 (define @t13 () (@purify @t4)) % 0.47/0.63 (define @t14 () (_ @t5 @t1)) % 0.47/0.63 (define @t15 () (_ @t5 @t2)) % 0.47/0.63 (define @t16 () (lambda @t3 (forall @t8 (or (not @t15) @t14)))) % 0.47/0.63 (define @t17 () (@purify @t16)) % 0.47/0.63 (define @t18 () (= @t4 @t16)) % 0.47/0.63 (define @t19 () (not @t7)) % 0.47/0.63 (define @t20 () (or @t19 @t6)) % 0.47/0.63 (define @t21 () (@const 0 tptp.a)) % 0.47/0.63 (define @t22 () (@const 1 tptp.a)) % 0.47/0.63 (define @t23 () (forall @t8 (or (not (_ @t5 @t22)) (_ @t5 @t21)))) % 0.47/0.63 (define @t24 () (= @t22 @t21)) % 0.47/0.63 (define @t25 () (= (_ @t4 @t22 @t21) @t24)) % 0.47/0.63 (define @t26 () (_ @t13 @t22 @t21)) % 0.47/0.63 (define @t27 () (= (_ @t16 @t22 @t21) @t23)) % 0.47/0.63 (define @t28 () (_ @t17 @t22 @t21)) % 0.47/0.63 (define @t29 () (= @t28 @t26)) % 0.47/0.63 (define @t30 () (not @t29)) % 0.47/0.63 (define @t31 () (= @t17 @t13)) % 0.47/0.63 (define @t32 () (or @t31 @t30)) % 0.47/0.63 (define @t33 () (= @t24 @t23)) % 0.47/0.63 (define @t34 () (@quantifiers_skolemize @t23 0)) % 0.47/0.63 (define @t35 () (_ @t34 @t21)) % 0.47/0.63 (define @t36 () (_ @t34 @t22)) % 0.47/0.63 (define @t37 () (not @t36)) % 0.47/0.63 (define @t38 () (or @t37 @t35)) % 0.47/0.63 (define @t39 () (not @t38)) % 0.47/0.63 (define @t40 () (not @t23)) % 0.47/0.63 (define @t41 () (and @t24 @t36)) % 0.47/0.63 (define @t42 () (@var "BOUND_VARIABLE_14658" tptp.a)) % 0.47/0.63 (define @t43 () (lambda (@list @t42) (= @t42 @t22))) % 0.47/0.63 (define @t44 () (_ @t43 @t21)) % 0.47/0.63 (define @t45 () (_ @t43 @t22)) % 0.47/0.63 (define @t46 () (not @t45)) % 0.47/0.63 (define @t47 () (or @t46 @t44)) % 0.47/0.63 (assume @p1 @t12) % 0.47/0.63 (assume @p2 true) % 0.47/0.63 (step @p3 :rule eq-symm :args (@t13 @t17)) % 0.47/0.63 (step @p4 :rule eq-refl :args (@t16)) % 0.47/0.63 (step @p5 :rule skolem_intro :args (@t17)) % 0.47/0.63 (step @p6 :rule refl :args (@t16)) % 0.47/0.63 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t16 @t17))) % 0.47/0.63 (step @p8 :rule trans :premises (@p7 @p4)) % 0.47/0.63 (step @p9 :rule true_elim :premises (@p8)) % 0.47/0.63 (step @p10 :rule eq-refl :args (@t4)) % 0.47/0.63 (step @p11 :rule skolem_intro :args (@t13)) % 0.47/0.63 (step @p12 :rule refl :args (@t4)) % 0.47/0.63 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t4 @t13))) % 0.47/0.63 (step @p14 :rule trans :premises (@p13 @p10)) % 0.47/0.63 (step @p15 :rule true_elim :premises (@p14)) % 0.47/0.63 (step @p16 :rule cong :premises (@p15 @p9) :args (@t18)) % 0.47/0.63 (step @p17 :rule trans :premises (@p16 @p3)) % 0.47/0.63 (step @p18 :rule cong :premises (@p17) :args ((not @t18))) % 0.47/0.63 (step @p19 :rule eq-symm :args (@t16 @t4)) % 0.47/0.63 (step @p20 :rule refl :args (@t14)) % 0.47/0.63 (step @p21 :rule refl :args (@t6)) % 0.47/0.63 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t6 @t14))) % 0.47/0.63 (step @p23 :rule symm :premises (@p22)) % 0.47/0.63 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.47/0.63 (step @p25 :rule refl :args (@t15)) % 0.47/0.63 (step @p26 :rule refl :args (@t7)) % 0.47/0.63 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t7 @t15))) % 0.47/0.63 (step @p28 :rule symm :premises (@p27)) % 0.47/0.63 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.47/0.63 (step @p30 :rule cong :premises (@p29) :args (@t19)) % 0.47/0.63 (step @p31 :rule nary_cong :premises (@p30 @p24) :args (@t20)) % 0.47/0.63 (step @p32 :rule cong :premises (@p31) :args ((forall @t8 @t20))) % 0.47/0.63 (step @p33 :rule bool-impl-elim :args (@t7 @t6)) % 0.47/0.63 (step @p34 :rule cong :premises (@p33) :args (@t9)) % 0.47/0.63 (step @p35 :rule trans :premises (@p34 @p32)) % 0.47/0.63 (step @p36 :rule cong :premises (@p35) :args (@t10)) % 0.47/0.63 (step @p37 :rule cong :premises (@p36 @p12) :args (@t11)) % 0.47/0.63 (step @p38 :rule trans :premises (@p37 @p19)) % 0.47/0.63 (step @p39 :rule cong :premises (@p38) :args (@t12)) % 0.47/0.63 (step @p40 :rule trans :premises (@p39 @p18)) % 0.47/0.63 (step @p41 :rule eq_resolve :premises (@p1 @p40)) % 0.47/0.63 (step @p42 :rule eq-symm :args (@t23 @t24)) % 0.47/0.63 (step @p43 :rule eq-refl :args (@t24)) % 0.47/0.63 (step @p44 :rule refl :args (@t24)) % 0.47/0.63 (step @p45 :rule beta-reduce :args (@t25)) % 0.47/0.63 (step @p46 :rule cong :premises (@p45 @p44) :args (@t25)) % 0.47/0.63 (step @p47 :rule trans :premises (@p46 @p43)) % 0.47/0.63 (step @p48 :rule refl :args (@t21)) % 0.47/0.63 (step @p49 :rule refl :args (@t22)) % 0.47/0.63 (step @p50 :rule ho_cong :premises (@p11 @p49 @p48)) % 0.47/0.63 (step @p51 :rule cong :premises (@p50 @p44) :args ((= @t26 @t24))) % 0.47/0.63 (step @p52 :rule trans :premises (@p51 @p47)) % 0.47/0.63 (step @p53 :rule true_elim :premises (@p52)) % 0.47/0.63 (step @p54 :rule eq-refl :args (@t23)) % 0.47/0.63 (step @p55 :rule refl :args (@t23)) % 0.47/0.63 (step @p56 :rule beta-reduce :args (@t27)) % 0.47/0.63 (step @p57 :rule cong :premises (@p56 @p55) :args (@t27)) % 0.47/0.63 (step @p58 :rule trans :premises (@p57 @p54)) % 0.47/0.63 (step @p59 :rule ho_cong :premises (@p5 @p49 @p48)) % 0.47/0.63 (step @p60 :rule cong :premises (@p59 @p55) :args ((= @t28 @t23))) % 0.47/0.63 (step @p61 :rule trans :premises (@p60 @p58)) % 0.47/0.63 (step @p62 :rule true_elim :premises (@p61)) % 0.47/0.63 (step @p63 :rule cong :premises (@p62 @p53) :args (@t29)) % 0.47/0.63 (step @p64 :rule trans :premises (@p63 @p42)) % 0.47/0.63 (step @p65 :rule cong :premises (@p64) :args (@t30)) % 0.47/0.63 (step @p66 :rule refl :args (@t31)) % 0.47/0.63 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t32)) % 0.47/0.63 ; WARNING: add trust step for TRUST % 0.47/0.63 ; trust TRUST THEORY_LEMMA % 0.47/0.63 (step @p68 :rule trust :premises () :args (@t32)) % 0.47/0.63 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.47/0.63 (step @p70 :rule chain_m_resolution :premises (@p69 @p41) :args ((not @t33) (@list true) (@list @t31))) % 0.47/0.63 (step @p71 :rule cnf_equiv_neg2 :args (@t33)) % 0.47/0.63 (step @p72 :rule refl :args (@t39)) % 0.47/0.63 (step @p73 :rule bool-double-not-elim :args (@t23)) % 0.47/0.63 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or (not @t40) @t39))) % 0.47/0.63 (assume-push @p133 @t40) % 0.47/0.63 (step @p76 :rule skolemize :premises (@p133)) % 0.47/0.63 (step-pop @p134 :rule scope :premises (@p76)) % 0.47/0.63 (step @p77 :rule process_scope :premises (@p134) :args (@t39)) % 0.47/0.63 (step @p79 :rule implies_elim :premises (@p77)) % 0.47/0.63 (step @p80 :rule eq_resolve :premises (@p79 @p74)) % 0.47/0.63 (step @p81 :rule bool-double-not-elim :args (@t36)) % 0.47/0.63 (step @p82 :rule refl :args (@t38)) % 0.47/0.63 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t38 (not @t37)))) % 0.47/0.63 (step @p84 :rule cnf_or_neg :args (@t38 0)) % 0.47/0.63 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.47/0.63 (step @p86 :rule reordering :premises (@p85) :args ((or @t36 @t38))) % 0.47/0.63 (step @p87 :rule cnf_or_neg :args (@t38 1)) % 0.47/0.63 (assume-push @p135 @t24) % 0.47/0.63 (assume-push @p136 @t36) % 0.47/0.63 (assume-push @p137 @t36) % 0.47/0.63 (assume-push @p138 @t24) % 0.47/0.63 (step @p92 :rule true_intro :premises (@p136)) % 0.47/0.63 (step @p93 :rule symm :premises (@p135)) % 0.47/0.63 (step @p94 :rule cong :premises (@p93) :args (@t35)) % 0.47/0.63 (step @p95 :rule trans :premises (@p94 @p92)) % 0.47/0.63 (step @p96 :rule true_elim :premises (@p95)) % 0.47/0.63 (step-pop @p139 :rule scope :premises (@p96)) % 0.47/0.63 (step-pop @p140 :rule scope :premises (@p139)) % 0.47/0.63 (step @p97 :rule process_scope :premises (@p140) :args (@t35)) % 0.47/0.63 (step @p100 :rule and_intro :premises (@p136 @p135)) % 0.47/0.63 (step @p101 :rule modus_ponens :premises (@p100 @p97)) % 0.47/0.63 (step-pop @p141 :rule scope :premises (@p101)) % 0.47/0.63 (step-pop @p142 :rule scope :premises (@p141)) % 0.47/0.63 (step @p102 :rule process_scope :premises (@p142) :args (@t35)) % 0.47/0.63 (step @p105 :rule implies_elim :premises (@p102)) % 0.47/0.63 (step @p106 :rule cnf_and_neg :args (@t41)) % 0.47/0.63 (step @p107 :rule resolution :premises (@p106 @p105) :args (true @t41)) % 0.47/0.63 (step @p108 :rule chain_m_resolution :premises (@p107 @p87 @p86 @p80 @p71 @p70) :args ((not @t24) (@list true false true true true) (@list @t35 @t36 @t38 @t23 @t33))) % 0.47/0.63 (step @p109 :rule cnf_equiv_neg1 :args (@t33)) % 0.47/0.63 (step @p110 :rule reordering :premises (@p109) :args ((or @t24 @t23 @t33))) % 0.47/0.63 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p70) :args (@t23 (@list true true) (@list @t24 @t33))) % 0.47/0.63 (step @p112 :rule aci_norm :args ((= (or false @t24) @t24))) % 0.47/0.63 (step @p113 :rule eq-symm :args (@t21 @t22)) % 0.47/0.63 (step @p114 :rule beta-reduce :args ((= @t44 (= @t21 @t22)))) % 0.47/0.63 (step @p115 :rule trans :premises (@p114 @p113)) % 0.47/0.63 (step @p116 :rule evaluate :args ((not true))) % 0.47/0.63 (step @p117 :rule eq-refl :args (@t22)) % 0.47/0.63 (step @p118 :rule beta-reduce :args ((= @t45 (= @t22 @t22)))) % 0.47/0.63 (step @p119 :rule trans :premises (@p118 @p117)) % 0.47/0.63 (step @p120 :rule cong :premises (@p119) :args (@t46)) % 0.47/0.63 (step @p121 :rule trans :premises (@p120 @p116)) % 0.47/0.63 (step @p122 :rule nary_cong :premises (@p121 @p115) :args (@t47)) % 0.47/0.63 (step @p123 :rule trans :premises (@p122 @p112)) % 0.47/0.63 (step @p124 :rule cong :premises (@p55 @p123) :args ((=> @t23 @t47))) % 0.47/0.63 (assume-push @p143 @t23) % 0.47/0.64 (step @p126 :rule instantiate :premises (@p143) :args ((@list @t43))) % 0.47/0.64 (step-pop @p144 :rule scope :premises (@p126)) % 0.47/0.64 (step @p127 :rule process_scope :premises (@p144) :args (@t47)) % 0.47/0.64 (step @p129 :rule eq_resolve :premises (@p127 @p124)) % 0.47/0.64 (step @p130 :rule implies_elim :premises (@p129)) % 0.47/0.64 (step @p131 :rule reordering :premises (@p130) :args ((or @t24 @t40))) % 0.47/0.64 (step @p132 false :rule chain_m_resolution :premises (@p131 @p111 @p108) :args (false (@list false true) (@list @t23 @t24))) % 0.47/0.64 ) % 0.47/0.64 % SZS output end Proof % 0.47/0.64 % cvc5 exiting %------------------------------------------------------------------------------