%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET628^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:48:18 AM UTC 2026 % Result : Theorem 0.27s 0.55s % Output : Proof 0.27s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET628^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.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 16:05:23 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.27/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.27/0.55 % SZS status Theorem % 0.27/0.55 % SZS output start Proof % 0.27/0.55 ( % 0.27/0.55 (declare-sort tptp.a 0) % 0.27/0.55 (define @t1 () (@var "Xx" tptp.a)) % 0.27/0.55 (define @t2 () (@list @t1)) % 0.27/0.55 (define @t3 () (lambda @t2 false)) % 0.27/0.55 (define @t4 () (@var "X" (-> tptp.a Bool))) % 0.27/0.55 (define @t5 () (= @t4 @t3)) % 0.27/0.55 (define @t6 () (not @t5)) % 0.27/0.55 (define @t7 () (_ @t4 @t1)) % 0.27/0.55 (define @t8 () (and @t7 @t7)) % 0.27/0.55 (define @t9 () (exists @t2 @t8)) % 0.27/0.55 (define @t10 () (= @t9 @t6)) % 0.27/0.55 (define @t11 () (@list @t4)) % 0.27/0.55 (define @t12 () (forall @t11 @t10)) % 0.27/0.55 (define @t13 () (not @t12)) % 0.27/0.55 (define @t14 () (@var "BOUND_VARIABLE_7471" tptp.a)) % 0.27/0.55 (define @t15 () (lambda (@list @t14) false)) % 0.27/0.55 (define @t16 () (_ @t4 @t1)) % 0.27/0.55 (define @t17 () (not @t7)) % 0.27/0.55 (define @t18 () (forall @t2 @t17)) % 0.27/0.55 (define @t19 () (not @t18)) % 0.27/0.55 (define @t20 () (@purify @t15)) % 0.27/0.55 (define @t21 () (forall @t11 (= (not (forall @t2 (not @t16))) (not (= @t4 @t15))))) % 0.27/0.55 (define @t22 () (@quantifiers_skolemize @t21 0)) % 0.27/0.55 (define @t23 () (= @t22 @t20)) % 0.27/0.55 (define @t24 () (not @t23)) % 0.27/0.55 (define @t25 () (forall @t2 (not (_ @t22 @t1)))) % 0.27/0.55 (define @t26 () (not @t25)) % 0.27/0.55 (define @t27 () (= @t26 @t24)) % 0.27/0.55 (define @t28 () (not @t27)) % 0.27/0.55 (define @t29 () (not @t21)) % 0.27/0.55 (define @t30 () (= @t15 @t22)) % 0.27/0.55 (define @t31 () (not @t30)) % 0.27/0.55 (define @t32 () (= @t26 @t31)) % 0.27/0.55 (define @t33 () (not @t32)) % 0.27/0.55 (define @t34 () (not (= @t22 @t15))) % 0.27/0.55 (define @t35 () (= @t26 @t34)) % 0.27/0.55 (define @t36 () (not @t35)) % 0.27/0.55 (define @t37 () (@list true)) % 0.27/0.55 (define @t38 () (not @t26)) % 0.27/0.55 (define @t39 () (_ @t22 (@quantifiers_skolemize @t25 0))) % 0.27/0.55 (define @t40 () (not (not @t39))) % 0.27/0.55 (define @t41 () (=> @t23 (= @t39 false))) % 0.27/0.55 (define @t42 () (@const 0 tptp.a)) % 0.27/0.55 (define @t43 () (_ @t22 @t42)) % 0.27/0.55 (define @t44 () (_ @t15 @t42)) % 0.27/0.55 (define @t45 () (_ @t20 @t42)) % 0.27/0.55 (define @t46 () (= @t43 @t45)) % 0.27/0.55 (define @t47 () (not @t46)) % 0.27/0.55 (define @t48 () (or @t23 @t47)) % 0.27/0.55 (assume @p1 @t13) % 0.27/0.55 (assume @p2 true) % 0.27/0.55 (step @p3 :rule refl :args (@t15)) % 0.27/0.55 (step @p4 :rule symm :premises (@p3)) % 0.27/0.55 (step @p5 :rule alpha_equiv :args (@t3 (@list @t1) (@list @t14))) % 0.27/0.55 (step @p6 :rule trans :premises (@p5 @p4)) % 0.27/0.55 (step @p7 :rule refl :args (@t4)) % 0.27/0.55 (step @p8 :rule cong :premises (@p7 @p6) :args (@t5)) % 0.27/0.55 (step @p9 :rule cong :premises (@p8) :args (@t6)) % 0.27/0.55 (step @p10 :rule refl :args (@t16)) % 0.27/0.55 (step @p11 :rule refl :args (@t7)) % 0.27/0.55 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t7 @t16))) % 0.27/0.55 (step @p13 :rule symm :premises (@p12)) % 0.27/0.55 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.27/0.55 (step @p15 :rule cong :premises (@p14) :args (@t17)) % 0.27/0.55 (step @p16 :rule cong :premises (@p15) :args (@t18)) % 0.27/0.55 (step @p17 :rule cong :premises (@p16) :args (@t19)) % 0.27/0.55 (step @p18 :rule exists-elim :args ((= (exists @t2 @t7) @t19))) % 0.27/0.55 (step @p19 :rule trans :premises (@p18 @p17)) % 0.27/0.55 (step @p20 :rule aci_norm :args ((= @t8 @t7))) % 0.27/0.55 (step @p21 :rule cong :premises (@p20) :args (@t9)) % 0.27/0.55 (step @p22 :rule trans :premises (@p21 @p19)) % 0.27/0.55 (step @p23 :rule cong :premises (@p22 @p9) :args (@t10)) % 0.27/0.55 (step @p24 :rule cong :premises (@p23) :args (@t12)) % 0.27/0.55 (step @p25 :rule cong :premises (@p24) :args (@t13)) % 0.27/0.55 (step @p26 :rule eq_resolve :premises (@p1 @p25)) % 0.27/0.55 (step @p27 :rule refl :args (@t28)) % 0.27/0.55 (step @p28 :rule bool-double-not-elim :args (@t21)) % 0.27/0.55 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or (not @t29) @t28))) % 0.27/0.55 (step @p30 :rule eq-symm :args (@t20 @t22)) % 0.27/0.55 (step @p31 :rule refl :args (@t22)) % 0.27/0.55 (step @p32 :rule eq-refl :args (@t15)) % 0.27/0.55 (step @p33 :rule refl :args (@t15)) % 0.27/0.55 (step @p34 :rule cong :premises (@p33 @p4) :args ((= @t15 @t15))) % 0.27/0.55 (step @p35 :rule trans :premises (@p34 @p32)) % 0.27/0.55 (step @p36 :rule skolem_intro :args (@t20)) % 0.27/0.55 (step @p37 :rule cong :premises (@p33 @p36) :args ((= @t15 @t20))) % 0.27/0.55 (step @p38 :rule trans :premises (@p37 @p35)) % 0.27/0.55 (step @p39 :rule true_elim :premises (@p38)) % 0.27/0.55 (step @p40 :rule cong :premises (@p39 @p31) :args (@t30)) % 0.27/0.55 (step @p41 :rule trans :premises (@p40 @p30)) % 0.27/0.55 (step @p42 :rule cong :premises (@p41) :args (@t31)) % 0.27/0.55 (step @p43 :rule refl :args (@t26)) % 0.27/0.55 (step @p44 :rule cong :premises (@p43 @p42) :args (@t32)) % 0.27/0.55 (step @p45 :rule cong :premises (@p44) :args (@t33)) % 0.27/0.55 (step @p46 :rule refl :args (@t29)) % 0.27/0.55 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t29 @t33))) % 0.27/0.55 (step @p48 :rule eq-symm :args (@t22 @t15)) % 0.27/0.55 (step @p49 :rule cong :premises (@p48) :args (@t34)) % 0.27/0.55 (step @p50 :rule cong :premises (@p43 @p49) :args (@t35)) % 0.27/0.55 (step @p51 :rule cong :premises (@p50) :args (@t36)) % 0.27/0.55 (step @p52 :rule cong :premises (@p46 @p51) :args ((=> @t29 @t36))) % 0.27/0.55 (step @p53 :rule trans :premises (@p52 @p47)) % 0.27/0.55 (assume-push @p117 @t29) % 0.27/0.55 (step @p55 :rule skolemize :premises (@p26)) % 0.27/0.55 (step-pop @p118 :rule scope :premises (@p55)) % 0.27/0.55 (step @p56 :rule process_scope :premises (@p118) :args (@t36)) % 0.27/0.55 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 0.27/0.55 (step @p59 :rule implies_elim :premises (@p58)) % 0.27/0.55 (step @p60 :rule eq_resolve :premises (@p59 @p29)) % 0.27/0.55 (step @p61 :rule chain_m_resolution :premises (@p60 @p26) :args (@t28 @t37 (@list @t21))) % 0.27/0.55 (step @p62 :rule bool-double-not-elim :args (@t23)) % 0.27/0.55 (step @p63 :rule bool-double-not-elim :args (@t25)) % 0.27/0.55 (step @p64 :rule refl :args (@t27)) % 0.27/0.55 (step @p65 :rule nary_cong :premises (@p64 @p63 @p62) :args ((or @t27 @t38 (not @t24)))) % 0.27/0.55 (step @p66 :rule cnf_equiv_neg2 :args (@t27)) % 0.27/0.55 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.27/0.55 (step @p68 :rule reordering :premises (@p67) :args ((or @t25 @t23 @t27))) % 0.27/0.55 (step @p69 :rule refl :args (@t39)) % 0.27/0.55 (step @p70 :rule nary_cong :premises (@p63 @p69) :args ((or @t38 @t39))) % 0.27/0.55 (step @p71 :rule bool-double-not-elim :args (@t39)) % 0.27/0.55 (step @p72 :rule cong :premises (@p43 @p71) :args ((=> @t26 @t40))) % 0.27/0.55 (assume-push @p119 @t26) % 0.27/0.55 (step @p74 :rule skolemize :premises (@p119)) % 0.27/0.55 (step-pop @p120 :rule scope :premises (@p74)) % 0.27/0.55 (step @p75 :rule process_scope :premises (@p120) :args (@t40)) % 0.27/0.55 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 0.27/0.55 (step @p78 :rule implies_elim :premises (@p77)) % 0.27/0.55 (step @p79 :rule eq_resolve :premises (@p78 @p70)) % 0.27/0.55 (step @p80 :rule bool-eq-false :args (@t39)) % 0.27/0.55 (step @p81 :rule refl :args (@t23)) % 0.27/0.55 (step @p82 :rule cong :premises (@p81 @p80) :args (@t41)) % 0.27/0.55 ; WARNING: add trust step for TRUST % 0.27/0.55 ; trust TRUST THEORY_LEMMA % 0.27/0.55 (step @p83 :rule trust :premises () :args (@t41)) % 0.27/0.55 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.27/0.55 (step @p85 :rule implies_elim :premises (@p84)) % 0.27/0.55 (step @p86 :rule chain_m_resolution :premises (@p85 @p79 @p68 @p61) :args (@t25 (@list false false true) (@list @t39 @t23 @t27))) % 0.27/0.55 (step @p87 :rule cnf_equiv_neg1 :args (@t27)) % 0.27/0.55 (step @p88 :rule reordering :premises (@p87) :args ((or @t26 @t24 @t27))) % 0.27/0.55 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p61) :args (@t24 (@list false true) (@list @t25 @t27))) % 0.27/0.55 (step @p90 :rule bool-double-not-elim :args (@t43)) % 0.27/0.55 (step @p91 :rule bool-eq-false :args (@t43)) % 0.27/0.55 (step @p92 :rule evaluate :args ((not false))) % 0.27/0.55 (step @p93 :rule beta-reduce :args ((= @t44 false))) % 0.27/0.55 (step @p94 :rule cong :premises (@p93) :args ((not @t44))) % 0.27/0.55 (step @p95 :rule trans :premises (@p94 @p92)) % 0.27/0.55 (step @p96 :rule refl :args (@t42)) % 0.27/0.55 (step @p97 :rule ho_cong :premises (@p36 @p96)) % 0.27/0.55 (step @p98 :rule cong :premises (@p97) :args ((not @t45))) % 0.27/0.55 (step @p99 :rule bool-eq-false :args (@t45)) % 0.27/0.55 (step @p100 :rule trans :premises (@p99 @p98 @p95)) % 0.27/0.55 (step @p101 :rule true_elim :premises (@p100)) % 0.27/0.55 (step @p102 :rule refl :args (@t43)) % 0.27/0.55 (step @p103 :rule cong :premises (@p102 @p101) :args (@t46)) % 0.27/0.55 (step @p104 :rule trans :premises (@p103 @p91)) % 0.27/0.55 (step @p105 :rule cong :premises (@p104) :args (@t47)) % 0.27/0.55 (step @p106 :rule trans :premises (@p105 @p90)) % 0.27/0.55 (step @p107 :rule nary_cong :premises (@p81 @p106) :args (@t48)) % 0.27/0.55 ; trust TRUST THEORY_LEMMA % 0.27/0.55 (step @p108 :rule trust :premises () :args (@t48)) % 0.27/0.55 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 0.27/0.55 (step @p110 :rule chain_m_resolution :premises (@p109 @p89) :args (@t43 @t37 (@list @t23))) % 0.27/0.55 (assume-push @p121 @t25) % 0.27/0.55 (step @p112 :rule instantiate :premises (@p121) :args ((@list @t42))) % 0.27/0.55 (step-pop @p122 :rule scope :premises (@p112)) % 0.27/0.55 (step @p113 :rule process_scope :premises (@p122) :args ((not @t43))) % 0.27/0.55 (step @p115 :rule implies_elim :premises (@p113)) % 0.27/0.55 (step @p116 false :rule chain_m_resolution :premises (@p115 @p110 @p86) :args (false (@list false false) (@list @t43 @t25))) % 0.27/0.55 ) % 0.27/0.55 % SZS output end Proof % 0.27/0.55 % cvc5 exiting %------------------------------------------------------------------------------