%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN377^5 : 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 : n029.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 09:08:44 AM UTC 2026 % Result : Theorem 0.40s 0.60s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYN377^5 : 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 % 0.19/0.35 % Computer : n029.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 23:25:32 EDT 2026 % 0.19/0.35 % CPUTime : % 0.34/0.50 %----Proving TH0 % 0.40/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.60 % SZS status Theorem % 0.40/0.60 % SZS output start Proof % 0.40/0.60 ( % 0.40/0.60 (declare-sort $$unsorted 0) % 0.40/0.60 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.40/0.60 (define @t1 () (@var "Xy" $$unsorted)) % 0.40/0.60 (define @t2 () (_ tptp.cP @t1)) % 0.40/0.60 (define @t3 () (@list @t1)) % 0.40/0.60 (define @t4 () (forall @t3 @t2)) % 0.40/0.60 (define @t5 () (@var "Xx" $$unsorted)) % 0.40/0.60 (define @t6 () (_ tptp.cP @t5)) % 0.40/0.60 (define @t7 () (@list @t5)) % 0.40/0.60 (define @t8 () (exists @t7 @t6)) % 0.40/0.60 (define @t9 () (= @t6 @t4)) % 0.40/0.60 (define @t10 () (forall @t7 @t9)) % 0.40/0.60 (define @t11 () (= @t10 (= @t8 @t4))) % 0.40/0.60 (define @t12 () (not @t11)) % 0.40/0.60 (define @t13 () (tptp.cP @t5)) % 0.40/0.60 (define @t14 () (not @t6)) % 0.40/0.60 (define @t15 () (forall @t7 @t14)) % 0.40/0.60 (define @t16 () (not @t15)) % 0.40/0.60 (define @t17 () (tptp.cP @t1)) % 0.40/0.60 (define @t18 () (forall @t3 @t17)) % 0.40/0.60 (define @t19 () (= @t6 @t18)) % 0.40/0.60 (define @t20 () (forall @t7 (not @t13))) % 0.40/0.60 (define @t21 () (not @t18)) % 0.40/0.60 (define @t22 () (not @t20)) % 0.40/0.60 (define @t23 () (= @t18 @t22)) % 0.40/0.60 (define @t24 () (not @t22)) % 0.40/0.60 (define @t25 () (@const 0 $$unsorted)) % 0.40/0.60 (define @t26 () (@list @t25)) % 0.40/0.60 (define @t27 () (tptp.cP @t25)) % 0.40/0.60 (define @t28 () (@list false false)) % 0.40/0.60 (define @t29 () (@quantifiers_skolemize @t20 0)) % 0.40/0.60 (define @t30 () (tptp.cP @t29)) % 0.40/0.60 (define @t31 () (not @t30)) % 0.40/0.60 (define @t32 () (not @t31)) % 0.40/0.60 (define @t33 () (= @t18 @t30)) % 0.40/0.60 (define @t34 () (forall @t7 (= @t18 @t13))) % 0.40/0.60 (define @t35 () (not @t34)) % 0.40/0.60 (define @t36 () (@list true)) % 0.40/0.60 (define @t37 () (@list @t34)) % 0.40/0.60 (define @t38 () (@quantifiers_skolemize @t34 0)) % 0.40/0.60 (define @t39 () (tptp.cP @t38)) % 0.40/0.60 (define @t40 () (= @t18 @t39)) % 0.40/0.60 (define @t41 () (not @t40)) % 0.40/0.60 (define @t42 () (not @t39)) % 0.40/0.60 (define @t43 () (@list @t38)) % 0.40/0.60 (define @t44 () (@list true true)) % 0.40/0.60 (define @t45 () (not @t23)) % 0.40/0.60 (assume @p1 @t12) % 0.40/0.60 (assume @p2 true) % 0.40/0.60 (step @p3 :rule refl :args (@t13)) % 0.40/0.60 (step @p4 :rule refl :args (@t6)) % 0.40/0.60 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t6 @t13))) % 0.40/0.60 (step @p6 :rule symm :premises (@p5)) % 0.40/0.60 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.40/0.60 (step @p8 :rule cong :premises (@p7) :args (@t14)) % 0.40/0.60 (step @p9 :rule cong :premises (@p8) :args (@t15)) % 0.40/0.60 (step @p10 :rule cong :premises (@p9) :args (@t16)) % 0.40/0.60 (step @p11 :rule exists-elim :args ((= @t8 @t16))) % 0.40/0.60 (step @p12 :rule trans :premises (@p11 @p10)) % 0.40/0.60 (step @p13 :rule refl :args (@t17)) % 0.40/0.60 (step @p14 :rule refl :args (@t2)) % 0.40/0.60 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t2 @t17))) % 0.40/0.60 (step @p16 :rule symm :premises (@p15)) % 0.40/0.60 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.40/0.60 (step @p18 :rule cong :premises (@p17) :args (@t4)) % 0.40/0.60 (step @p19 :rule cong :premises (@p18 @p12) :args ((= @t4 @t8))) % 0.40/0.60 (step @p20 :rule eq-symm :args (@t8 @t4)) % 0.40/0.60 (step @p21 :rule trans :premises (@p20 @p19)) % 0.40/0.60 (step @p22 :rule eq-symm :args (@t13 @t18)) % 0.40/0.60 (step @p23 :rule cong :premises (@p22) :args ((forall @t7 (= @t13 @t18)))) % 0.40/0.60 (step @p24 :rule refl :args (@t18)) % 0.40/0.60 (step @p25 :rule cong :premises (@p7 @p24) :args (@t19)) % 0.40/0.60 (step @p26 :rule cong :premises (@p25) :args ((forall @t7 @t19))) % 0.40/0.60 (step @p27 :rule trans :premises (@p26 @p23)) % 0.40/0.60 (step @p28 :rule refl :args (@t6)) % 0.40/0.60 (step @p29 :rule cong :premises (@p28 @p18) :args (@t9)) % 0.40/0.60 (step @p30 :rule cong :premises (@p29) :args (@t10)) % 0.40/0.60 (step @p31 :rule trans :premises (@p30 @p27)) % 0.40/0.60 (step @p32 :rule cong :premises (@p31 @p21) :args (@t11)) % 0.40/0.60 (step @p33 :rule cong :premises (@p32) :args (@t12)) % 0.40/0.60 (step @p34 :rule eq_resolve :premises (@p1 @p33)) % 0.40/0.60 (step @p35 :rule not_equiv_elim2 :premises (@p34)) % 0.40/0.60 (step @p36 :rule bool-double-not-elim :args (@t20)) % 0.40/0.60 (step @p37 :rule refl :args (@t21)) % 0.40/0.60 (step @p38 :rule refl :args (@t23)) % 0.40/0.60 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36) :args ((or @t23 @t21 @t24))) % 0.40/0.60 (step @p40 :rule cnf_equiv_neg2 :args (@t23)) % 0.40/0.60 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.40/0.60 (step @p42 :rule reordering :premises (@p41) :args ((or @t20 @t23 @t21))) % 0.40/0.60 (assume-push @p112 @t18) % 0.40/0.60 (step @p44 :rule instantiate :premises (@p112) :args (@t26)) % 0.40/0.60 (step-pop @p113 :rule scope :premises (@p44)) % 0.40/0.60 (step @p45 :rule process_scope :premises (@p113) :args (@t27)) % 0.40/0.60 (step @p47 :rule implies_elim :premises (@p45)) % 0.40/0.60 (assume-push @p114 @t20) % 0.40/0.60 (step @p49 :rule instantiate :premises (@p114) :args (@t26)) % 0.40/0.60 (step-pop @p115 :rule scope :premises (@p49)) % 0.40/0.60 (step @p50 :rule process_scope :premises (@p115) :args ((not @t27))) % 0.40/0.60 (step @p52 :rule implies_elim :premises (@p50)) % 0.40/0.60 (step @p53 :rule chain_m_resolution :premises (@p52 @p47 @p42) :args ((or @t23 @t21) @t28 (@list @t27 @t20))) % 0.40/0.60 (step @p54 :rule cnf_equiv_neg1 :args (@t23)) % 0.40/0.60 (step @p55 :rule reordering :premises (@p54) :args ((or @t18 @t22 @t23))) % 0.40/0.60 (step @p56 :rule refl :args (@t30)) % 0.40/0.60 (step @p57 :rule nary_cong :premises (@p36 @p56) :args ((or @t24 @t30))) % 0.40/0.60 (step @p58 :rule bool-double-not-elim :args (@t30)) % 0.40/0.60 (step @p59 :rule refl :args (@t22)) % 0.40/0.60 (step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t22 @t32))) % 0.40/0.60 (assume-push @p116 @t22) % 0.40/0.60 (step @p62 :rule skolemize :premises (@p116)) % 0.40/0.60 (step-pop @p117 :rule scope :premises (@p62)) % 0.40/0.60 (step @p63 :rule process_scope :premises (@p117) :args (@t32)) % 0.40/0.60 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 0.40/0.60 (step @p66 :rule implies_elim :premises (@p65)) % 0.40/0.60 (step @p67 :rule eq_resolve :premises (@p66 @p57)) % 0.40/0.60 (step @p68 :rule cnf_equiv_pos2 :args (@t33)) % 0.40/0.60 (step @p69 :rule reordering :premises (@p68) :args ((or @t18 @t31 (not @t33)))) % 0.40/0.60 (assume-push @p118 @t34) % 0.40/0.60 (step @p71 :rule instantiate :premises (@p118) :args ((@list @t29))) % 0.40/0.60 (step-pop @p119 :rule scope :premises (@p71)) % 0.40/0.60 (step @p72 :rule process_scope :premises (@p119) :args (@t33)) % 0.40/0.60 (step @p74 :rule implies_elim :premises (@p72)) % 0.40/0.60 (step @p75 :rule chain_m_resolution :premises (@p74 @p69 @p67 @p55 @p53 @p35) :args (@t35 (@list true false true true true) (@list @t33 @t30 @t20 @t18 @t23))) % 0.40/0.60 (step @p76 :rule not_equiv_elim1 :premises (@p34)) % 0.40/0.60 (step @p77 :rule chain_m_resolution :premises (@p76 @p75) :args (@t23 @t36 @t37)) % 0.40/0.60 (step @p78 :rule refl :args (@t41)) % 0.40/0.60 (step @p79 :rule bool-double-not-elim :args (@t34)) % 0.40/0.60 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or (not @t35) @t41))) % 0.40/0.60 (assume-push @p120 @t35) % 0.40/0.60 (step @p82 :rule skolemize :premises (@p120)) % 0.40/0.60 (step-pop @p121 :rule scope :premises (@p82)) % 0.40/0.60 (step @p83 :rule process_scope :premises (@p121) :args (@t41)) % 0.40/0.60 (step @p85 :rule implies_elim :premises (@p83)) % 0.40/0.60 (step @p86 :rule eq_resolve :premises (@p85 @p80)) % 0.40/0.60 (step @p87 :rule chain_m_resolution :premises (@p86 @p75) :args (@t41 @t36 @t37)) % 0.40/0.60 (step @p88 :rule cnf_equiv_neg2 :args (@t40)) % 0.40/0.60 (step @p89 :rule reordering :premises (@p88) :args ((or @t21 @t40 @t42))) % 0.40/0.60 (assume-push @p122 @t18) % 0.40/0.60 (step @p91 :rule instantiate :premises (@p122) :args (@t43)) % 0.40/0.60 (step-pop @p123 :rule scope :premises (@p91)) % 0.40/0.60 (step @p92 :rule process_scope :premises (@p123) :args (@t39)) % 0.40/0.60 (step @p94 :rule implies_elim :premises (@p92)) % 0.40/0.60 (step @p95 :rule chain_m_resolution :premises (@p94 @p89 @p87) :args (@t21 @t44 (@list @t39 @t40))) % 0.40/0.60 (step @p96 :rule refl :args (@t18)) % 0.40/0.60 (step @p97 :rule refl :args (@t45)) % 0.40/0.60 (step @p98 :rule nary_cong :premises (@p97 @p96 @p36) :args ((or @t45 @t18 @t24))) % 0.40/0.60 (step @p99 :rule cnf_equiv_pos2 :args (@t23)) % 0.40/0.60 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.40/0.60 (step @p101 :rule reordering :premises (@p100) :args ((or @t18 @t20 @t45))) % 0.40/0.60 (step @p102 :rule chain_m_resolution :premises (@p101 @p95 @p77) :args (@t20 (@list true false) (@list @t18 @t23))) % 0.40/0.60 (step @p103 :rule cnf_equiv_neg1 :args (@t40)) % 0.40/0.60 (step @p104 :rule reordering :premises (@p103) :args ((or @t18 @t39 @t40))) % 0.40/0.60 (step @p105 :rule chain_m_resolution :premises (@p104 @p95 @p87) :args (@t39 @t44 (@list @t18 @t40))) % 0.40/0.60 (assume-push @p124 @t20) % 0.40/0.60 (step @p107 :rule instantiate :premises (@p124) :args (@t43)) % 0.40/0.60 (step-pop @p125 :rule scope :premises (@p107)) % 0.40/0.60 (step @p108 :rule process_scope :premises (@p125) :args (@t42)) % 0.40/0.60 (step @p110 :rule implies_elim :premises (@p108)) % 0.40/0.60 (step @p111 false :rule chain_m_resolution :premises (@p110 @p105 @p102) :args (false @t28 (@list @t39 @t20))) % 0.40/0.60 ) % 0.40/0.60 % SZS output end Proof % 0.40/0.61 % cvc5 exiting %------------------------------------------------------------------------------