%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN356^5 : 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 : n001.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 09:08:40 AM UTC 2026 % Result : Theorem 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN356^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n001.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:24:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.25/0.50 %----Proving TH0 % 0.36/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort $$unsorted 0) % 0.36/0.56 (declare-const tptp.cR (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.cA $$unsorted) % 0.36/0.56 (declare-const tptp.cQ (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.cB $$unsorted) % 0.36/0.56 (define @t1 () (_ (_ tptp.cQ tptp.cB) tptp.cB)) % 0.36/0.56 (define @t2 () (_ (_ tptp.cQ tptp.cA) tptp.cA)) % 0.36/0.56 (define @t3 () (and @t2 @t1)) % 0.36/0.56 (define @t4 () (@var "U" $$unsorted)) % 0.36/0.56 (define @t5 () (_ tptp.cQ @t4)) % 0.36/0.56 (define @t6 () (_ @t5 @t4)) % 0.36/0.56 (define @t7 () (@var "V" $$unsorted)) % 0.36/0.56 (define @t8 () (_ @t5 @t7)) % 0.36/0.56 (define @t9 () (@list @t4 @t7)) % 0.36/0.56 (define @t10 () (forall @t9 (=> @t8 @t6))) % 0.36/0.56 (define @t11 () (@var "Y" $$unsorted)) % 0.36/0.56 (define @t12 () (@var "X" $$unsorted)) % 0.36/0.56 (define @t13 () (_ (_ tptp.cQ @t12) @t11)) % 0.36/0.56 (define @t14 () (_ (_ tptp.cR @t11) @t12)) % 0.36/0.56 (define @t15 () (and @t14 @t13)) % 0.36/0.56 (define @t16 () (_ (_ tptp.cR @t12) @t11)) % 0.36/0.56 (define @t17 () (@list @t12 @t11)) % 0.36/0.56 (define @t18 () (forall @t17 (=> @t16 @t15))) % 0.36/0.56 (define @t19 () (_ (_ tptp.cR tptp.cA) tptp.cB)) % 0.36/0.56 (define @t20 () (and @t19 @t18 @t10)) % 0.36/0.56 (define @t21 () (=> @t20 @t3)) % 0.36/0.56 (define @t22 () (not @t21)) % 0.36/0.56 (define @t23 () (tptp.cQ tptp.cB tptp.cB)) % 0.36/0.56 (define @t24 () (tptp.cQ tptp.cA tptp.cA)) % 0.36/0.56 (define @t25 () (tptp.cQ @t4 @t4)) % 0.36/0.56 (define @t26 () (tptp.cQ @t4 @t7)) % 0.36/0.56 (define @t27 () (forall @t9 (or (not @t26) @t25))) % 0.36/0.56 (define @t28 () (tptp.cQ @t12 @t11)) % 0.36/0.56 (define @t29 () (tptp.cR @t11 @t12)) % 0.36/0.56 (define @t30 () (tptp.cR @t12 @t11)) % 0.36/0.56 (define @t31 () (forall @t17 (or (not @t30) (and @t29 @t28)))) % 0.36/0.56 (define @t32 () (tptp.cR tptp.cA tptp.cB)) % 0.36/0.56 (define @t33 () (and @t19 @t31 @t27)) % 0.36/0.56 (define @t34 () (=> @t33 @t3)) % 0.36/0.56 (define @t35 () (not @t8)) % 0.36/0.56 (define @t36 () (or @t35 @t6)) % 0.36/0.56 (define @t37 () (not @t16)) % 0.36/0.56 (define @t38 () (or @t37 @t15)) % 0.36/0.56 (define @t39 () (@list tptp.cB tptp.cA)) % 0.36/0.56 (define @t40 () (@list tptp.cA tptp.cB)) % 0.36/0.56 (define @t41 () (tptp.cQ tptp.cA tptp.cB)) % 0.36/0.56 (define @t42 () (tptp.cR tptp.cB tptp.cA)) % 0.36/0.56 (define @t43 () (and @t42 @t41)) % 0.36/0.56 (define @t44 () (not @t32)) % 0.36/0.56 (define @t45 () (or @t44 @t43)) % 0.36/0.56 (define @t46 () (@list false false)) % 0.36/0.56 (define @t47 () (not @t43)) % 0.36/0.56 (define @t48 () (@list false)) % 0.36/0.56 (define @t49 () (@list @t43)) % 0.36/0.56 (define @t50 () (tptp.cQ tptp.cB tptp.cA)) % 0.36/0.56 (define @t51 () (and @t32 @t50)) % 0.36/0.56 (define @t52 () (not @t42)) % 0.36/0.56 (define @t53 () (or @t52 @t51)) % 0.36/0.56 (define @t54 () (not @t41)) % 0.36/0.56 (define @t55 () (or @t54 @t24)) % 0.36/0.56 (define @t56 () (not @t50)) % 0.36/0.56 (define @t57 () (or @t56 @t23)) % 0.36/0.56 (define @t58 () (not @t57)) % 0.36/0.56 (define @t59 () (@list true false)) % 0.36/0.56 (assume @p1 @t22) % 0.36/0.56 (assume @p2 true) % 0.36/0.56 (step @p3 :rule refl :args (@t23)) % 0.36/0.56 (step @p4 :rule refl :args (@t1)) % 0.36/0.56 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t1 @t23))) % 0.36/0.56 (step @p6 :rule symm :premises (@p5)) % 0.36/0.56 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.36/0.56 (step @p8 :rule refl :args (@t24)) % 0.36/0.56 (step @p9 :rule refl :args (@t2)) % 0.36/0.56 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t2 @t24))) % 0.36/0.56 (step @p11 :rule symm :premises (@p10)) % 0.36/0.56 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.36/0.56 (step @p13 :rule nary_cong :premises (@p12 @p7) :args (@t3)) % 0.36/0.56 (step @p14 :rule refl :args (@t27)) % 0.36/0.56 (step @p15 :rule refl :args (@t31)) % 0.36/0.56 (step @p16 :rule refl :args (@t32)) % 0.36/0.56 (step @p17 :rule refl :args (@t19)) % 0.36/0.56 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t19 @t32))) % 0.36/0.56 (step @p19 :rule symm :premises (@p18)) % 0.36/0.56 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.36/0.56 (step @p21 :rule nary_cong :premises (@p20 @p15 @p14) :args (@t33)) % 0.36/0.56 (step @p22 :rule cong :premises (@p21 @p13) :args (@t34)) % 0.36/0.56 (step @p23 :rule cong :premises (@p22) :args ((not @t34))) % 0.36/0.56 (step @p24 :rule refl :args (@t3)) % 0.36/0.56 (step @p25 :rule refl :args (@t25)) % 0.36/0.56 (step @p26 :rule refl :args (@t6)) % 0.36/0.56 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t6 @t25))) % 0.36/0.56 (step @p28 :rule symm :premises (@p27)) % 0.36/0.56 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.36/0.56 (step @p30 :rule refl :args (@t26)) % 0.36/0.56 (step @p31 :rule refl :args (@t8)) % 0.36/0.56 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t8 @t26))) % 0.36/0.56 (step @p33 :rule symm :premises (@p32)) % 0.36/0.56 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.36/0.56 (step @p35 :rule cong :premises (@p34) :args (@t35)) % 0.36/0.56 (step @p36 :rule nary_cong :premises (@p35 @p29) :args (@t36)) % 0.36/0.56 (step @p37 :rule cong :premises (@p36) :args ((forall @t9 @t36))) % 0.36/0.56 (step @p38 :rule bool-impl-elim :args (@t8 @t6)) % 0.36/0.56 (step @p39 :rule cong :premises (@p38) :args (@t10)) % 0.36/0.56 (step @p40 :rule trans :premises (@p39 @p37)) % 0.36/0.56 (step @p41 :rule refl :args (@t28)) % 0.36/0.56 (step @p42 :rule refl :args (@t13)) % 0.36/0.56 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t13 @t28))) % 0.36/0.56 (step @p44 :rule symm :premises (@p43)) % 0.36/0.56 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.36/0.56 (step @p46 :rule refl :args (@t29)) % 0.36/0.56 (step @p47 :rule refl :args (@t14)) % 0.36/0.56 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t14 @t29))) % 0.36/0.56 (step @p49 :rule symm :premises (@p48)) % 0.36/0.56 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.36/0.56 (step @p51 :rule nary_cong :premises (@p50 @p45) :args (@t15)) % 0.36/0.56 (step @p52 :rule refl :args (@t30)) % 0.36/0.56 (step @p53 :rule refl :args (@t16)) % 0.36/0.56 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t16 @t30))) % 0.36/0.56 (step @p55 :rule symm :premises (@p54)) % 0.36/0.56 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.36/0.56 (step @p57 :rule cong :premises (@p56) :args (@t37)) % 0.36/0.56 (step @p58 :rule nary_cong :premises (@p57 @p51) :args (@t38)) % 0.36/0.56 (step @p59 :rule cong :premises (@p58) :args ((forall @t17 @t38))) % 0.36/0.56 (step @p60 :rule bool-impl-elim :args (@t16 @t15)) % 0.36/0.56 (step @p61 :rule cong :premises (@p60) :args (@t18)) % 0.36/0.56 (step @p62 :rule trans :premises (@p61 @p59)) % 0.36/0.56 (step @p63 :rule refl :args (@t19)) % 0.36/0.56 (step @p64 :rule nary_cong :premises (@p63 @p62 @p40) :args (@t20)) % 0.36/0.56 (step @p65 :rule cong :premises (@p64 @p24) :args (@t21)) % 0.36/0.56 (step @p66 :rule cong :premises (@p65) :args (@t22)) % 0.36/0.56 (step @p67 :rule trans :premises (@p66 @p23)) % 0.36/0.56 (step @p68 :rule eq_resolve :premises (@p1 @p67)) % 0.36/0.56 (step @p69 :rule not_implies_elim1 :premises (@p68)) % 0.36/0.56 (step @p70 :rule and_elim :premises (@p69) :args (2)) % 0.36/0.56 (step @p71 :rule and_elim :premises (@p69) :args (1)) % 0.36/0.56 (step @p72 :rule instantiate :premises (@p71) :args (@t39)) % 0.36/0.56 (step @p73 :rule instantiate :premises (@p71) :args (@t40)) % 0.36/0.56 (step @p74 :rule and_elim :premises (@p69) :args (0)) % 0.36/0.56 (step @p75 :rule cnf_or_pos :args (@t45)) % 0.36/0.56 (step @p76 :rule reordering :premises (@p75) :args ((or @t44 @t43 (not @t45)))) % 0.36/0.56 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p73) :args (@t43 @t46 (@list @t32 @t45))) % 0.36/0.56 (step @p78 :rule cnf_and_pos :args (@t43 0)) % 0.36/0.56 (step @p79 :rule reordering :premises (@p78) :args ((or @t42 @t47))) % 0.36/0.56 (step @p80 :rule chain_m_resolution :premises (@p79 @p77) :args (@t42 @t48 @t49)) % 0.36/0.56 (step @p81 :rule cnf_or_pos :args (@t53)) % 0.36/0.56 (step @p82 :rule reordering :premises (@p81) :args ((or @t52 @t51 (not @t53)))) % 0.36/0.56 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p72) :args (@t51 @t46 (@list @t42 @t53))) % 0.36/0.56 (step @p84 :rule cnf_and_pos :args (@t51 1)) % 0.36/0.56 (step @p85 :rule reordering :premises (@p84) :args ((or @t50 (not @t51)))) % 0.36/0.56 (step @p86 :rule chain_m_resolution :premises (@p85 @p83) :args (@t50 @t48 (@list @t51))) % 0.36/0.56 (step @p87 :rule instantiate :premises (@p70) :args (@t40)) % 0.36/0.56 (step @p88 :rule cnf_and_pos :args (@t43 1)) % 0.36/0.56 (step @p89 :rule reordering :premises (@p88) :args ((or @t41 @t47))) % 0.36/0.56 (step @p90 :rule chain_m_resolution :premises (@p89 @p77) :args (@t41 @t48 @t49)) % 0.36/0.56 (step @p91 :rule cnf_or_pos :args (@t55)) % 0.36/0.56 (step @p92 :rule reordering :premises (@p91) :args ((or @t24 @t54 (not @t55)))) % 0.36/0.56 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p87) :args (@t24 @t46 (@list @t41 @t55))) % 0.36/0.56 (step @p94 :rule not_implies_elim2 :premises (@p68)) % 0.36/0.56 (step @p95 :rule not_and :premises (@p94)) % 0.36/0.56 (step @p96 :rule chain_m_resolution :premises (@p95 @p93) :args ((not @t23) @t48 (@list @t24))) % 0.36/0.56 (step @p97 :rule cnf_or_pos :args (@t57)) % 0.36/0.56 (step @p98 :rule reordering :premises (@p97) :args ((or @t23 @t56 @t58))) % 0.36/0.56 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p86) :args (@t58 @t59 (@list @t23 @t50))) % 0.36/0.56 (assume-push @p106 @t27) % 0.36/0.56 (step @p101 :rule instantiate :premises (@p70) :args (@t39)) % 0.36/0.56 (step-pop @p107 :rule scope :premises (@p101)) % 0.36/0.56 (step @p102 :rule process_scope :premises (@p107) :args (@t57)) % 0.36/0.56 (step @p104 :rule implies_elim :premises (@p102)) % 0.36/0.56 (step @p105 false :rule chain_m_resolution :premises (@p104 @p99 @p70) :args (false @t59 (@list @t57 @t27))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------