%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO154^5 : 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 : n012.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 09:12:08 AM UTC 2026 % Result : Theorem 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYO154^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 23:59:33 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TH0 % 0.15/0.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.36 % SZS status Theorem % 0.15/0.36 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (declare-sort $$unsorted 0) % 0.15/0.36 (declare-const tptp.a $$unsorted) % 0.15/0.36 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.cQ (-> $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.cR (-> $$unsorted Bool)) % 0.15/0.36 (define @t1 () (@var "Xw" $$unsorted)) % 0.15/0.36 (define @t2 () (_ tptp.cR @t1)) % 0.15/0.36 (define @t3 () (@list @t1)) % 0.15/0.36 (define @t4 () (exists @t3 @t2)) % 0.15/0.36 (define @t5 () (@var "Xy" $$unsorted)) % 0.15/0.36 (define @t6 () (_ tptp.g @t5)) % 0.15/0.36 (define @t7 () (_ tptp.cR @t6)) % 0.15/0.36 (define @t8 () (_ tptp.cQ @t5)) % 0.15/0.36 (define @t9 () (@list @t5)) % 0.15/0.36 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.15/0.36 (define @t11 () (@var "Xx" $$unsorted)) % 0.15/0.36 (define @t12 () (_ tptp.f @t11)) % 0.15/0.36 (define @t13 () (_ tptp.cQ @t12)) % 0.15/0.36 (define @t14 () (_ tptp.cP @t11)) % 0.15/0.36 (define @t15 () (@list @t11)) % 0.15/0.36 (define @t16 () (forall @t15 (=> @t14 @t13))) % 0.15/0.36 (define @t17 () (_ tptp.cP tptp.a)) % 0.15/0.36 (define @t18 () (and @t17 @t16 @t10)) % 0.15/0.36 (define @t19 () (=> @t18 @t4)) % 0.15/0.36 (define @t20 () (not @t19)) % 0.15/0.36 (define @t21 () (tptp.cR @t1)) % 0.15/0.36 (define @t22 () (forall @t3 (not @t21))) % 0.15/0.36 (define @t23 () (not @t22)) % 0.15/0.36 (define @t24 () (tptp.g @t5)) % 0.15/0.36 (define @t25 () (tptp.cR @t24)) % 0.15/0.36 (define @t26 () (tptp.cQ @t5)) % 0.15/0.36 (define @t27 () (forall @t9 (or (not @t26) @t25))) % 0.15/0.36 (define @t28 () (tptp.f @t11)) % 0.15/0.36 (define @t29 () (tptp.cQ @t28)) % 0.15/0.36 (define @t30 () (tptp.cP @t11)) % 0.15/0.36 (define @t31 () (forall @t15 (or (not @t30) @t29))) % 0.15/0.36 (define @t32 () (tptp.cP tptp.a)) % 0.15/0.36 (define @t33 () (and @t17 @t31 @t27)) % 0.15/0.36 (define @t34 () (=> @t33 @t23)) % 0.15/0.36 (define @t35 () (not @t2)) % 0.15/0.36 (define @t36 () (forall @t3 @t35)) % 0.15/0.36 (define @t37 () (not @t36)) % 0.15/0.36 (define @t38 () (not @t8)) % 0.15/0.36 (define @t39 () (or @t38 @t7)) % 0.15/0.36 (define @t40 () (not @t14)) % 0.15/0.36 (define @t41 () (or @t40 @t13)) % 0.15/0.36 (define @t42 () (tptp.f tptp.a)) % 0.15/0.36 (define @t43 () (tptp.cQ @t42)) % 0.15/0.36 (define @t44 () (not @t32)) % 0.15/0.36 (define @t45 () (or @t44 @t43)) % 0.15/0.36 (define @t46 () (@list false false)) % 0.15/0.36 (define @t47 () (tptp.g @t42)) % 0.15/0.36 (define @t48 () (tptp.cR @t47)) % 0.15/0.36 (define @t49 () (not @t43)) % 0.15/0.36 (define @t50 () (or @t49 @t48)) % 0.15/0.36 (assume @p1 @t20) % 0.15/0.36 (assume @p2 true) % 0.15/0.36 (step @p3 :rule refl :args (@t23)) % 0.15/0.36 (step @p4 :rule refl :args (@t27)) % 0.15/0.36 (step @p5 :rule refl :args (@t31)) % 0.15/0.36 (step @p6 :rule refl :args (@t32)) % 0.15/0.36 (step @p7 :rule refl :args (@t17)) % 0.15/0.36 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t17 @t32))) % 0.15/0.36 (step @p9 :rule symm :premises (@p8)) % 0.15/0.36 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.15/0.36 (step @p11 :rule nary_cong :premises (@p10 @p5 @p4) :args (@t33)) % 0.15/0.36 (step @p12 :rule cong :premises (@p11 @p3) :args (@t34)) % 0.15/0.36 (step @p13 :rule cong :premises (@p12) :args ((not @t34))) % 0.15/0.36 (step @p14 :rule refl :args (@t21)) % 0.15/0.36 (step @p15 :rule refl :args (@t2)) % 0.15/0.36 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t2 @t21))) % 0.15/0.36 (step @p17 :rule symm :premises (@p16)) % 0.15/0.36 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.15/0.36 (step @p19 :rule cong :premises (@p18) :args (@t35)) % 0.15/0.36 (step @p20 :rule cong :premises (@p19) :args (@t36)) % 0.15/0.36 (step @p21 :rule cong :premises (@p20) :args (@t37)) % 0.15/0.36 (step @p22 :rule exists-elim :args ((= @t4 @t37))) % 0.15/0.36 (step @p23 :rule trans :premises (@p22 @p21)) % 0.15/0.36 (step @p24 :rule refl :args ((tptp.cR @t6))) % 0.15/0.36 (step @p25 :rule refl :args (@t24)) % 0.15/0.36 (step @p26 :rule cong :premises (@p25) :args (@t25)) % 0.15/0.36 (step @p27 :rule trans :premises (@p26 @p24)) % 0.15/0.36 (step @p28 :rule refl :args (tptp.cR)) % 0.15/0.36 (step @p29 :rule ho_cong :premises (@p28 @p25)) % 0.15/0.36 (step @p30 :rule cong :premises (@p29 @p27) :args ((= (_ tptp.cR @t24) @t25))) % 0.15/0.36 (step @p31 :rule symm :premises (@p30)) % 0.15/0.36 (step @p32 :rule refl :args (@t7)) % 0.15/0.36 (step @p33 :rule eq_resolve :premises (@p32 @p31)) % 0.15/0.36 (step @p34 :rule refl :args (@t6)) % 0.15/0.36 (step @p35 :rule cong :premises (@p34 @p25) :args ((= @t6 @t24))) % 0.15/0.36 (step @p36 :rule symm :premises (@p35)) % 0.15/0.36 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.15/0.36 (step @p38 :rule ho_cong :premises (@p28 @p37)) % 0.15/0.36 (step @p39 :rule trans :premises (@p38 @p33)) % 0.15/0.36 (step @p40 :rule refl :args (@t26)) % 0.15/0.36 (step @p41 :rule refl :args (@t8)) % 0.15/0.36 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t8 @t26))) % 0.15/0.36 (step @p43 :rule symm :premises (@p42)) % 0.15/0.36 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.15/0.36 (step @p45 :rule cong :premises (@p44) :args (@t38)) % 0.15/0.36 (step @p46 :rule nary_cong :premises (@p45 @p39) :args (@t39)) % 0.15/0.36 (step @p47 :rule cong :premises (@p46) :args ((forall @t9 @t39))) % 0.15/0.36 (step @p48 :rule bool-impl-elim :args (@t8 @t7)) % 0.15/0.36 (step @p49 :rule cong :premises (@p48) :args (@t10)) % 0.15/0.36 (step @p50 :rule trans :premises (@p49 @p47)) % 0.15/0.36 (step @p51 :rule refl :args ((tptp.cQ @t12))) % 0.15/0.36 (step @p52 :rule refl :args (@t28)) % 0.15/0.36 (step @p53 :rule cong :premises (@p52) :args (@t29)) % 0.15/0.36 (step @p54 :rule trans :premises (@p53 @p51)) % 0.15/0.36 (step @p55 :rule refl :args (tptp.cQ)) % 0.15/0.36 (step @p56 :rule ho_cong :premises (@p55 @p52)) % 0.15/0.36 (step @p57 :rule cong :premises (@p56 @p54) :args ((= (_ tptp.cQ @t28) @t29))) % 0.15/0.36 (step @p58 :rule symm :premises (@p57)) % 0.15/0.36 (step @p59 :rule refl :args (@t13)) % 0.15/0.36 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 0.15/0.36 (step @p61 :rule refl :args (@t12)) % 0.15/0.36 (step @p62 :rule cong :premises (@p61 @p52) :args ((= @t12 @t28))) % 0.15/0.36 (step @p63 :rule symm :premises (@p62)) % 0.15/0.36 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.15/0.36 (step @p65 :rule ho_cong :premises (@p55 @p64)) % 0.15/0.36 (step @p66 :rule trans :premises (@p65 @p60)) % 0.15/0.36 (step @p67 :rule refl :args (@t30)) % 0.15/0.36 (step @p68 :rule refl :args (@t14)) % 0.15/0.36 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t14 @t30))) % 0.15/0.36 (step @p70 :rule symm :premises (@p69)) % 0.15/0.36 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.15/0.36 (step @p72 :rule cong :premises (@p71) :args (@t40)) % 0.15/0.36 (step @p73 :rule nary_cong :premises (@p72 @p66) :args (@t41)) % 0.15/0.36 (step @p74 :rule cong :premises (@p73) :args ((forall @t15 @t41))) % 0.15/0.36 (step @p75 :rule bool-impl-elim :args (@t14 @t13)) % 0.15/0.36 (step @p76 :rule cong :premises (@p75) :args (@t16)) % 0.15/0.36 (step @p77 :rule trans :premises (@p76 @p74)) % 0.15/0.36 (step @p78 :rule refl :args (@t17)) % 0.15/0.36 (step @p79 :rule nary_cong :premises (@p78 @p77 @p50) :args (@t18)) % 0.15/0.36 (step @p80 :rule cong :premises (@p79 @p23) :args (@t19)) % 0.15/0.36 (step @p81 :rule cong :premises (@p80) :args (@t20)) % 0.15/0.36 (step @p82 :rule trans :premises (@p81 @p13)) % 0.15/0.36 (step @p83 :rule eq_resolve :premises (@p1 @p82)) % 0.15/0.36 (step @p84 :rule not_implies_elim2 :premises (@p83)) % 0.15/0.36 (step @p85 :rule not_not_elim :premises (@p84)) % 0.15/0.36 (step @p86 :rule not_implies_elim1 :premises (@p83)) % 0.15/0.36 (step @p87 :rule and_elim :premises (@p86) :args (2)) % 0.15/0.36 (step @p88 :rule instantiate :premises (@p87) :args ((@list @t42))) % 0.15/0.36 (step @p89 :rule and_elim :premises (@p86) :args (1)) % 0.15/0.36 (step @p90 :rule instantiate :premises (@p89) :args ((@list tptp.a))) % 0.15/0.36 (step @p91 :rule and_elim :premises (@p86) :args (0)) % 0.15/0.36 (step @p92 :rule cnf_or_pos :args (@t45)) % 0.15/0.36 (step @p93 :rule reordering :premises (@p92) :args ((or @t44 @t43 (not @t45)))) % 0.15/0.36 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p90) :args (@t43 @t46 (@list @t32 @t45))) % 0.15/0.36 (step @p95 :rule cnf_or_pos :args (@t50)) % 0.15/0.36 (step @p96 :rule reordering :premises (@p95) :args ((or @t49 @t48 (not @t50)))) % 0.15/0.36 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p88) :args (@t48 @t46 (@list @t43 @t50))) % 0.15/0.36 (assume-push @p104 @t22) % 0.15/0.36 (step @p99 :rule instantiate :premises (@p85) :args ((@list @t47))) % 0.15/0.36 (step-pop @p105 :rule scope :premises (@p99)) % 0.15/0.36 (step @p100 :rule process_scope :premises (@p105) :args ((not @t48))) % 0.15/0.36 (step @p102 :rule implies_elim :premises (@p100)) % 0.15/0.36 (step @p103 false :rule chain_m_resolution :premises (@p102 @p97 @p85) :args (false @t46 (@list @t48 @t22))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------