%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV433^1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:55:57 AM UTC 2026 % Result : Theorem 0.38s 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV433^1 : TPTP v9.2.1. Released v5.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.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 18:32:15 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.38/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-const tptp.f (-> $$unsorted Bool)) % 0.38/0.61 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.61 (define @t2 () (@var "X" $$unsorted)) % 0.38/0.61 (define @t3 () (= @t2 @t1)) % 0.38/0.61 (define @t4 () (_ tptp.f @t1)) % 0.38/0.61 (define @t5 () (_ tptp.f @t2)) % 0.38/0.61 (define @t6 () (= @t5 @t4)) % 0.38/0.61 (define @t7 () (@list @t2 @t1)) % 0.38/0.61 (define @t8 () (forall @t7 (=> @t6 @t3))) % 0.38/0.61 (define @t9 () (@var "Z" $$unsorted)) % 0.38/0.61 (define @t10 () (forall (@list @t2 @t1 @t9) (or @t3 (= @t2 @t9) (= @t1 @t9)))) % 0.38/0.61 (define @t11 () (tptp.f @t2)) % 0.38/0.61 (define @t12 () (not @t5)) % 0.38/0.61 (define @t13 () (tptp.f @t1)) % 0.38/0.61 (define @t14 () (= @t4 @t12)) % 0.38/0.61 (define @t15 () (or @t14 @t3)) % 0.38/0.61 (define @t16 () (or (= @t12 @t4) @t3)) % 0.38/0.61 (define @t17 () (@quantifiers_skolemize @t10 2)) % 0.38/0.61 (define @t18 () (@quantifiers_skolemize @t10 0)) % 0.38/0.61 (define @t19 () (tptp.f @t18)) % 0.38/0.61 (define @t20 () (tptp.f @t17)) % 0.38/0.61 (define @t21 () (not @t20)) % 0.38/0.61 (define @t22 () (or (= @t19 @t21) (= @t17 @t18))) % 0.38/0.61 (define @t23 () (forall @t7 (or (= @t13 (not @t11)) @t3))) % 0.38/0.61 (define @t24 () (= @t18 @t17)) % 0.38/0.61 (define @t25 () (= @t21 @t19)) % 0.38/0.61 (define @t26 () (or @t25 @t24)) % 0.38/0.61 (define @t27 () (@list false)) % 0.38/0.61 (define @t28 () (@list @t23)) % 0.38/0.61 (define @t29 () (@quantifiers_skolemize @t10 1)) % 0.38/0.61 (define @t30 () (= @t29 @t17)) % 0.38/0.61 (define @t31 () (= @t18 @t29)) % 0.38/0.61 (define @t32 () (or @t31 @t24 @t30)) % 0.38/0.61 (define @t33 () (@list true)) % 0.38/0.61 (define @t34 () (@list @t32)) % 0.38/0.61 (define @t35 () (@list true false)) % 0.38/0.61 (define @t36 () (tptp.f @t29)) % 0.38/0.61 (define @t37 () (= @t36 @t21)) % 0.38/0.61 (define @t38 () (or @t37 (= @t17 @t29))) % 0.38/0.61 (define @t39 () (or @t37 @t30)) % 0.38/0.61 (define @t40 () (not @t37)) % 0.38/0.61 (define @t41 () (not @t36)) % 0.38/0.61 (define @t42 () (or (= @t19 @t41) (= @t29 @t18))) % 0.38/0.61 (define @t43 () (= @t41 @t19)) % 0.38/0.61 (define @t44 () (or @t43 @t31)) % 0.38/0.61 (define @t45 () (not @t43)) % 0.38/0.61 (define @t46 () (not @t19)) % 0.38/0.61 (define @t47 () (not @t25)) % 0.38/0.61 (define @t48 () (not @t21)) % 0.38/0.61 (assume @p1 @t8) % 0.38/0.61 (assume @p2 (not @t10)) % 0.38/0.61 (assume @p3 true) % 0.38/0.61 (step @p4 :rule refl :args (@t3)) % 0.38/0.61 (step @p5 :rule refl :args (@t11)) % 0.38/0.61 (step @p6 :rule refl :args (@t5)) % 0.38/0.61 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t5 @t11))) % 0.38/0.61 (step @p8 :rule symm :premises (@p7)) % 0.38/0.61 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.38/0.61 (step @p10 :rule cong :premises (@p9) :args (@t12)) % 0.38/0.61 (step @p11 :rule refl :args (@t13)) % 0.38/0.61 (step @p12 :rule refl :args (@t4)) % 0.38/0.61 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t4 @t13))) % 0.38/0.61 (step @p14 :rule symm :premises (@p13)) % 0.38/0.61 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.38/0.61 (step @p16 :rule cong :premises (@p15 @p10) :args (@t14)) % 0.38/0.61 (step @p17 :rule nary_cong :premises (@p16 @p4) :args (@t15)) % 0.38/0.61 (step @p18 :rule cong :premises (@p17) :args ((forall @t7 @t15))) % 0.38/0.61 (step @p19 :rule refl :args (@t3)) % 0.38/0.61 (step @p20 :rule eq-symm :args (@t12 @t4)) % 0.38/0.61 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t16)) % 0.38/0.61 (step @p22 :rule cong :premises (@p21) :args ((forall @t7 @t16))) % 0.38/0.61 (step @p23 :rule trans :premises (@p22 @p18)) % 0.38/0.61 (step @p24 :rule bool-not-eq-elim1 :args (@t5 @t4)) % 0.38/0.61 (step @p25 :rule nary_cong :premises (@p24 @p4) :args ((or (not @t6) @t3))) % 0.38/0.61 (step @p26 :rule bool-impl-elim :args (@t6 @t3)) % 0.38/0.61 (step @p27 :rule trans :premises (@p26 @p25)) % 0.38/0.61 (step @p28 :rule cong :premises (@p27) :args (@t8)) % 0.38/0.61 (step @p29 :rule trans :premises (@p28 @p23)) % 0.38/0.61 (step @p30 :rule eq_resolve :premises (@p1 @p29)) % 0.38/0.61 (step @p31 :rule eq-symm :args (@t17 @t18)) % 0.38/0.61 (step @p32 :rule eq-symm :args (@t19 @t21)) % 0.38/0.61 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t22)) % 0.38/0.61 (step @p34 :rule refl :args (@t23)) % 0.38/0.61 (step @p35 :rule cong :premises (@p34 @p33) :args ((=> @t23 @t22))) % 0.38/0.61 (assume-push @p110 @t23) % 0.38/0.61 (step @p37 :rule instantiate :premises (@p30) :args ((@list @t17 @t18))) % 0.38/0.61 (step-pop @p111 :rule scope :premises (@p37)) % 0.38/0.61 (step @p38 :rule process_scope :premises (@p111) :args (@t22)) % 0.38/0.61 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 0.38/0.61 (step @p41 :rule implies_elim :premises (@p40)) % 0.38/0.61 (step @p42 :rule chain_m_resolution :premises (@p41 @p30) :args (@t26 @t27 @t28)) % 0.38/0.61 (step @p43 :rule skolemize :premises (@p2)) % 0.38/0.61 (step @p44 :rule cnf_or_neg :args (@t32 1)) % 0.38/0.61 (step @p45 :rule chain_m_resolution :premises (@p44 @p43) :args ((not @t24) @t33 @t34)) % 0.38/0.61 (step @p46 :rule cnf_or_pos :args (@t26)) % 0.38/0.61 (step @p47 :rule reordering :premises (@p46) :args ((or @t24 @t25 (not @t26)))) % 0.38/0.61 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p42) :args (@t25 @t35 (@list @t24 @t26))) % 0.38/0.61 (step @p49 :rule eq-symm :args (@t17 @t29)) % 0.38/0.61 (step @p50 :rule refl :args (@t37)) % 0.38/0.61 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t38)) % 0.38/0.61 (step @p52 :rule cong :premises (@p34 @p51) :args ((=> @t23 @t38))) % 0.38/0.61 (assume-push @p112 @t23) % 0.38/0.61 (step @p54 :rule instantiate :premises (@p30) :args ((@list @t17 @t29))) % 0.38/0.61 (step-pop @p113 :rule scope :premises (@p54)) % 0.38/0.61 (step @p55 :rule process_scope :premises (@p113) :args (@t38)) % 0.38/0.61 (step @p57 :rule eq_resolve :premises (@p55 @p52)) % 0.38/0.61 (step @p58 :rule implies_elim :premises (@p57)) % 0.38/0.61 (step @p59 :rule chain_m_resolution :premises (@p58 @p30) :args (@t39 @t27 @t28)) % 0.38/0.61 (step @p60 :rule cnf_or_neg :args (@t32 2)) % 0.38/0.61 (step @p61 :rule chain_m_resolution :premises (@p60 @p43) :args ((not @t30) @t33 @t34)) % 0.38/0.61 (step @p62 :rule cnf_or_pos :args (@t39)) % 0.38/0.61 (step @p63 :rule reordering :premises (@p62) :args ((or @t30 @t37 (not @t39)))) % 0.38/0.61 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p59) :args (@t37 @t35 (@list @t30 @t39))) % 0.38/0.61 (step @p65 :rule cnf_equiv_pos1 :args (@t37)) % 0.38/0.61 (step @p66 :rule reordering :premises (@p65) :args ((or @t21 @t41 @t40))) % 0.38/0.61 (step @p67 :rule eq-symm :args (@t29 @t18)) % 0.38/0.61 (step @p68 :rule eq-symm :args (@t19 @t41)) % 0.38/0.61 (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t42)) % 0.38/0.61 (step @p70 :rule cong :premises (@p34 @p69) :args ((=> @t23 @t42))) % 0.38/0.61 (assume-push @p114 @t23) % 0.38/0.61 (step @p72 :rule instantiate :premises (@p30) :args ((@list @t29 @t18))) % 0.38/0.61 (step-pop @p115 :rule scope :premises (@p72)) % 0.38/0.61 (step @p73 :rule process_scope :premises (@p115) :args (@t42)) % 0.38/0.61 (step @p75 :rule eq_resolve :premises (@p73 @p70)) % 0.38/0.61 (step @p76 :rule implies_elim :premises (@p75)) % 0.38/0.61 (step @p77 :rule chain_m_resolution :premises (@p76 @p30) :args (@t44 @t27 @t28)) % 0.38/0.61 (step @p78 :rule cnf_or_neg :args (@t32 0)) % 0.38/0.61 (step @p79 :rule chain_m_resolution :premises (@p78 @p43) :args ((not @t31) @t33 @t34)) % 0.38/0.61 (step @p80 :rule cnf_or_pos :args (@t44)) % 0.38/0.61 (step @p81 :rule reordering :premises (@p80) :args ((or @t31 @t43 (not @t44)))) % 0.38/0.61 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p77) :args (@t43 @t35 (@list @t31 @t44))) % 0.38/0.61 (step @p83 :rule cnf_equiv_pos2 :args (@t43)) % 0.38/0.61 (step @p84 :rule reordering :premises (@p83) :args ((or @t41 @t46 @t45))) % 0.38/0.61 (step @p85 :rule refl :args (@t19)) % 0.38/0.61 (step @p86 :rule bool-double-not-elim :args (@t20)) % 0.38/0.61 (step @p87 :rule refl :args (@t47)) % 0.38/0.61 (step @p88 :rule nary_cong :premises (@p87 @p86 @p85) :args ((or @t47 @t48 @t19))) % 0.38/0.61 (step @p89 :rule cnf_equiv_pos1 :args (@t25)) % 0.38/0.61 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.38/0.61 (step @p91 :rule reordering :premises (@p90) :args ((or @t20 @t19 @t47))) % 0.38/0.61 (step @p92 :rule chain_m_resolution :premises (@p91 @p48 @p84 @p82 @p66 @p64) :args (@t41 (@list false true false true false) (@list @t25 @t19 @t43 @t20 @t37))) % 0.38/0.61 (step @p93 :rule refl :args (@t36)) % 0.38/0.61 (step @p94 :rule refl :args (@t40)) % 0.38/0.61 (step @p95 :rule nary_cong :premises (@p94 @p93 @p86) :args ((or @t40 @t36 @t48))) % 0.38/0.61 (step @p96 :rule cnf_equiv_pos2 :args (@t37)) % 0.38/0.61 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 0.38/0.61 (step @p98 :rule reordering :premises (@p97) :args ((or @t36 @t20 @t40))) % 0.38/0.61 (step @p99 :rule chain_m_resolution :premises (@p98 @p92 @p64) :args (@t20 @t35 (@list @t36 @t37))) % 0.38/0.61 (step @p100 :rule bool-double-not-elim :args (@t36)) % 0.38/0.61 (step @p101 :rule refl :args (@t45)) % 0.38/0.61 (step @p102 :rule nary_cong :premises (@p101 @p100 @p85) :args ((or @t45 (not @t41) @t19))) % 0.38/0.61 (step @p103 :rule cnf_equiv_pos1 :args (@t43)) % 0.38/0.61 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.38/0.61 (step @p105 :rule reordering :premises (@p104) :args ((or @t36 @t19 @t45))) % 0.38/0.61 (step @p106 :rule chain_m_resolution :premises (@p105 @p92 @p82) :args (@t19 @t35 (@list @t36 @t43))) % 0.38/0.61 (step @p107 :rule cnf_equiv_pos2 :args (@t25)) % 0.38/0.61 (step @p108 :rule reordering :premises (@p107) :args ((or @t21 @t46 @t47))) % 0.38/0.61 (step @p109 false :rule chain_m_resolution :premises (@p108 @p106 @p99 @p48) :args (false (@list false false false) (@list @t19 @t20 @t25))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------