%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET786+1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:48:38 AM UTC 2026 % Result : Theorem 15.39s 15.61s % Output : Proof 15.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET786+1 : TPTP v9.2.1. Released v2.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.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 16:12:24 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 15.39/15.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.39/15.61 --- Run --no-e-matching --full-saturate-quant at 6... % 15.39/15.61 % SZS status Theorem % 15.39/15.61 % SZS output start Proof % 15.39/15.61 ( % 15.39/15.61 (declare-sort $$unsorted 0) % 15.39/15.61 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 15.39/15.61 (define @t1 () (@var "X" $$unsorted)) % 15.39/15.61 (define @t2 () (@var "Z" $$unsorted)) % 15.39/15.61 (define @t3 () (tptp.element @t2 @t1)) % 15.39/15.61 (define @t4 () (tptp.element @t1 @t2)) % 15.39/15.61 (define @t5 () (and @t4 @t3)) % 15.39/15.61 (define @t6 () (@list @t2)) % 15.39/15.61 (define @t7 () (exists @t6 @t5)) % 15.39/15.61 (define @t8 () (not @t7)) % 15.39/15.61 (define @t9 () (@var "Y" $$unsorted)) % 15.39/15.61 (define @t10 () (tptp.element @t1 @t9)) % 15.39/15.61 (define @t11 () (= @t10 @t8)) % 15.39/15.61 (define @t12 () (@list @t1)) % 15.39/15.61 (define @t13 () (forall @t12 @t11)) % 15.39/15.61 (define @t14 () (@list @t9)) % 15.39/15.61 (define @t15 () (exists @t14 @t13)) % 15.39/15.61 (define @t16 () (forall @t6 (or (not @t4) (not @t3)))) % 15.39/15.61 (define @t17 () (forall @t12 (= @t10 @t16))) % 15.39/15.61 (define @t18 () (forall @t14 (not @t17))) % 15.39/15.61 (define @t19 () (not @t18)) % 15.39/15.61 (define @t20 () (forall @t6 (not @t5))) % 15.39/15.61 (define @t21 () (not @t20)) % 15.39/15.61 (define @t22 () (@quantifiers_skolemize @t18 0)) % 15.39/15.61 (define @t23 () (tptp.element @t1 @t22)) % 15.39/15.61 (define @t24 () (forall @t12 (= @t16 @t23))) % 15.39/15.61 (define @t25 () (forall @t12 (= @t23 @t16))) % 15.39/15.61 (define @t26 () (not (not @t25))) % 15.39/15.61 (define @t27 () (@list true)) % 15.39/15.61 (define @t28 () (forall @t6 (or (not (tptp.element @t22 @t2)) (not (tptp.element @t2 @t22))))) % 15.39/15.61 (define @t29 () (@quantifiers_skolemize @t28 0)) % 15.39/15.61 (define @t30 () (forall @t6 (or (not (tptp.element @t29 @t2)) (not (tptp.element @t2 @t29))))) % 15.39/15.61 (define @t31 () (tptp.element @t29 @t22)) % 15.39/15.61 (define @t32 () (= @t30 @t31)) % 15.39/15.61 (define @t33 () (= @t31 @t30)) % 15.39/15.61 (define @t34 () (@list @t22)) % 15.39/15.61 (define @t35 () (tptp.element @t22 @t22)) % 15.39/15.61 (define @t36 () (= @t28 @t35)) % 15.39/15.61 (define @t37 () (not @t28)) % 15.39/15.61 (define @t38 () (not @t35)) % 15.39/15.61 (define @t39 () (or @t38 @t38)) % 15.39/15.61 (define @t40 () (@list false false)) % 15.39/15.61 (define @t41 () (not @t31)) % 15.39/15.61 (define @t42 () (tptp.element @t22 @t29)) % 15.39/15.61 (define @t43 () (not @t42)) % 15.39/15.61 (define @t44 () (or @t43 @t41)) % 15.39/15.61 (define @t45 () (not @t44)) % 15.39/15.61 (define @t46 () (@list @t44)) % 15.39/15.61 (define @t47 () (or @t41 @t43)) % 15.39/15.61 (define @t48 () (not @t47)) % 15.39/15.61 (assume @p1 (not (not @t15))) % 15.39/15.61 (assume @p2 true) % 15.39/15.61 (step @p3 :rule exists-elim :args ((= (exists @t14 @t17) @t19))) % 15.39/15.61 (step @p4 :rule bool-double-not-elim :args (@t16)) % 15.39/15.61 (step @p5 :rule bool-and-de-morgan :args (@t4 @t3 true)) % 15.39/15.61 (step @p6 :rule cong :premises (@p5) :args (@t20)) % 15.39/15.61 (step @p7 :rule cong :premises (@p6) :args (@t21)) % 15.39/15.61 (step @p8 :rule exists-elim :args ((= @t7 @t21))) % 15.39/15.61 (step @p9 :rule trans :premises (@p8 @p7)) % 15.39/15.61 (step @p10 :rule cong :premises (@p9) :args (@t8)) % 15.39/15.61 (step @p11 :rule trans :premises (@p10 @p4)) % 15.39/15.61 (step @p12 :rule refl :args (@t10)) % 15.39/15.61 (step @p13 :rule cong :premises (@p12 @p11) :args (@t11)) % 15.39/15.61 (step @p14 :rule cong :premises (@p13) :args (@t13)) % 15.39/15.61 (step @p15 :rule cong :premises (@p14) :args (@t15)) % 15.39/15.61 (step @p16 :rule trans :premises (@p15 @p3)) % 15.39/15.61 (step @p17 :rule bool-double-not-elim :args (@t15)) % 15.39/15.61 (step @p18 :rule trans :premises (@p17 @p16)) % 15.39/15.61 (step @p19 :rule eq_resolve :premises (@p1 @p18)) % 15.39/15.61 (step @p20 :rule refl :args (@t24)) % 15.39/15.61 (step @p21 :rule bool-double-not-elim :args (@t18)) % 15.39/15.61 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or (not @t19) @t24))) % 15.39/15.61 (step @p23 :rule eq-symm :args (@t23 @t16)) % 15.39/15.61 (step @p24 :rule cong :premises (@p23) :args (@t25)) % 15.39/15.61 (step @p25 :rule bool-double-not-elim :args (@t25)) % 15.39/15.61 (step @p26 :rule trans :premises (@p25 @p24)) % 15.39/15.61 (step @p27 :rule refl :args (@t19)) % 15.39/15.61 (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t19 @t26))) % 15.39/15.61 (assume-push @p94 @t19) % 15.39/15.61 (step @p30 :rule skolemize :premises (@p19)) % 15.39/15.61 (step-pop @p95 :rule scope :premises (@p30)) % 15.39/15.61 (step @p31 :rule process_scope :premises (@p95) :args (@t26)) % 15.39/15.61 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 15.39/15.61 (step @p34 :rule implies_elim :premises (@p33)) % 15.39/15.61 (step @p35 :rule eq_resolve :premises (@p34 @p22)) % 15.39/15.61 (step @p36 :rule chain_m_resolution :premises (@p35 @p19) :args (@t24 @t27 (@list @t18))) % 15.39/15.61 (step @p37 :rule eq-symm :args (@t30 @t31)) % 15.39/15.61 (step @p38 :rule cong :premises (@p20 @p37) :args ((=> @t24 @t32))) % 15.39/15.61 (assume-push @p96 @t24) % 15.39/15.61 (step @p40 :rule instantiate :premises (@p36) :args ((@list @t29))) % 15.39/15.61 (step-pop @p97 :rule scope :premises (@p40)) % 15.39/15.61 (step @p41 :rule process_scope :premises (@p97) :args (@t32)) % 15.39/15.61 (step @p43 :rule eq_resolve :premises (@p41 @p38)) % 15.39/15.61 (step @p44 :rule implies_elim :premises (@p43)) % 15.39/15.61 (step @p45 :rule chain_m_resolution :premises (@p44 @p36) :args (@t33 (@list false) (@list @t24))) % 15.39/15.61 (step @p46 :rule instantiate :premises (@p36) :args (@t34)) % 15.39/15.61 (step @p47 :rule cnf_equiv_pos1 :args (@t36)) % 15.39/15.61 (step @p48 :rule reordering :premises (@p47) :args ((or @t35 @t37 (not @t36)))) % 15.39/15.61 (step @p49 :rule aci_norm :args ((= @t39 @t38))) % 15.39/15.61 (step @p50 :rule refl :args (@t28)) % 15.39/15.61 (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t28 @t39))) % 15.39/15.61 (assume-push @p98 @t28) % 15.39/15.61 (step @p53 :rule instantiate :premises (@p98) :args (@t34)) % 15.39/15.61 (step-pop @p99 :rule scope :premises (@p53)) % 15.39/15.61 (step @p54 :rule process_scope :premises (@p99) :args (@t39)) % 15.39/15.61 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 15.39/15.61 (step @p57 :rule implies_elim :premises (@p56)) % 15.39/15.61 (step @p58 :rule chain_m_resolution :premises (@p57 @p48 @p46) :args (@t37 @t40 (@list @t35 @t36))) % 15.39/15.61 (step @p59 :rule refl :args (@t45)) % 15.39/15.61 (step @p60 :rule bool-double-not-elim :args (@t28)) % 15.39/15.61 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or (not @t37) @t45))) % 15.39/15.61 (assume-push @p100 @t37) % 15.39/15.61 (step @p63 :rule skolemize :premises (@p100)) % 15.39/15.61 (step-pop @p101 :rule scope :premises (@p63)) % 15.39/15.61 (step @p64 :rule process_scope :premises (@p101) :args (@t45)) % 15.39/15.61 (step @p66 :rule implies_elim :premises (@p64)) % 15.39/15.61 (step @p67 :rule eq_resolve :premises (@p66 @p61)) % 15.39/15.61 (step @p68 :rule chain_m_resolution :premises (@p67 @p58) :args (@t45 @t27 (@list @t28))) % 15.39/15.61 (step @p69 :rule bool-double-not-elim :args (@t31)) % 15.39/15.61 (step @p70 :rule refl :args (@t44)) % 15.39/15.61 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t44 (not @t41)))) % 15.39/15.61 (step @p72 :rule cnf_or_neg :args (@t44 1)) % 15.39/15.61 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 15.39/15.61 (step @p74 :rule reordering :premises (@p73) :args ((or @t31 @t44))) % 15.39/15.61 (step @p75 :rule chain_m_resolution :premises (@p74 @p68) :args (@t31 @t27 @t46)) % 15.39/15.61 (step @p76 :rule cnf_equiv_pos1 :args (@t33)) % 15.39/15.61 (step @p77 :rule reordering :premises (@p76) :args ((or @t41 @t30 (not @t33)))) % 15.39/15.61 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p45) :args (@t30 @t40 (@list @t31 @t33))) % 15.39/15.61 (step @p79 :rule bool-double-not-elim :args (@t42)) % 15.39/15.61 (step @p80 :rule nary_cong :premises (@p70 @p79) :args ((or @t44 (not @t43)))) % 15.39/15.61 (step @p81 :rule cnf_or_neg :args (@t44 0)) % 15.39/15.61 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 15.39/15.61 (step @p83 :rule reordering :premises (@p82) :args ((or @t42 @t44))) % 15.39/15.61 (step @p84 :rule chain_m_resolution :premises (@p83 @p68) :args (@t42 @t27 @t46)) % 15.39/15.61 (step @p85 :rule cnf_or_pos :args (@t47)) % 15.39/15.61 (step @p86 :rule reordering :premises (@p85) :args ((or @t43 @t41 @t48))) % 15.39/15.61 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p75) :args (@t48 @t40 (@list @t42 @t31))) % 15.39/15.61 (assume-push @p102 @t30) % 15.39/15.61 (step @p89 :rule instantiate :premises (@p102) :args (@t34)) % 15.39/15.61 (step-pop @p103 :rule scope :premises (@p89)) % 15.39/15.61 (step @p90 :rule process_scope :premises (@p103) :args (@t47)) % 15.39/15.61 (step @p92 :rule implies_elim :premises (@p90)) % 15.39/15.61 (step @p93 false :rule chain_m_resolution :premises (@p92 @p87 @p78) :args (false (@list true false) (@list @t47 @t30))) % 15.39/15.61 ) % 15.39/15.61 % SZS output end Proof % 15.39/15.61 % cvc5 exiting %------------------------------------------------------------------------------