%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN360^5 : 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 : n011.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 09:08:41 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN360^5 : 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 % 0.16/0.34 % Computer : n011.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 23:24:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.38/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.c_less_ (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.cQ (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "Xy" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "Xx" $$unsorted)) % 0.38/0.58 (define @t3 () (_ (_ tptp.cQ @t2) @t1)) % 0.38/0.58 (define @t4 () (@list @t1 @t2)) % 0.38/0.58 (define @t5 () (forall @t4 @t3)) % 0.38/0.58 (define @t6 () (@var "Xz" $$unsorted)) % 0.38/0.58 (define @t7 () (_ (_ tptp.c_less_ @t6) @t1)) % 0.38/0.58 (define @t8 () (@list @t1)) % 0.38/0.58 (define @t9 () (exists @t8 @t7)) % 0.38/0.58 (define @t10 () (forall (@list @t6) @t9)) % 0.38/0.58 (define @t11 () (forall @t8 @t3)) % 0.38/0.58 (define @t12 () (_ (_ tptp.c_less_ @t2) @t1)) % 0.38/0.58 (define @t13 () (exists @t8 @t12)) % 0.38/0.58 (define @t14 () (=> @t13 @t11)) % 0.38/0.58 (define @t15 () (@list @t2)) % 0.38/0.58 (define @t16 () (forall @t15 @t14)) % 0.38/0.58 (define @t17 () (and @t16 @t10)) % 0.38/0.58 (define @t18 () (=> @t17 @t5)) % 0.38/0.58 (define @t19 () (not @t18)) % 0.38/0.58 (define @t20 () (tptp.cQ @t2 @t1)) % 0.38/0.58 (define @t21 () (tptp.c_less_ @t6 @t1)) % 0.38/0.58 (define @t22 () (not @t7)) % 0.38/0.58 (define @t23 () (forall @t8 @t22)) % 0.38/0.58 (define @t24 () (not @t23)) % 0.38/0.58 (define @t25 () (@var "BOUND_VARIABLE_7450" $$unsorted)) % 0.38/0.58 (define @t26 () (tptp.cQ @t2 @t25)) % 0.38/0.58 (define @t27 () (@var "BOUND_VARIABLE_7446" $$unsorted)) % 0.38/0.58 (define @t28 () (not (tptp.c_less_ @t2 @t27))) % 0.38/0.58 (define @t29 () (or @t28 @t26)) % 0.38/0.58 (define @t30 () (forall (@list @t2 @t27 @t25) @t29)) % 0.38/0.58 (define @t31 () (forall (@list @t27 @t25) @t29)) % 0.38/0.58 (define @t32 () (forall (@list @t25) @t26)) % 0.38/0.58 (define @t33 () (@list @t1)) % 0.38/0.58 (define @t34 () (forall (@list @t27) @t28)) % 0.38/0.58 (define @t35 () (or @t34 @t32)) % 0.38/0.58 (define @t36 () (forall @t8 @t20)) % 0.38/0.58 (define @t37 () (tptp.c_less_ @t2 @t1)) % 0.38/0.58 (define @t38 () (forall @t8 (not @t37))) % 0.38/0.58 (define @t39 () (not @t38)) % 0.38/0.58 (define @t40 () (not @t12)) % 0.38/0.58 (define @t41 () (forall @t8 @t40)) % 0.38/0.58 (define @t42 () (not @t41)) % 0.38/0.58 (define @t43 () (forall @t4 @t20)) % 0.38/0.58 (define @t44 () (@quantifiers_skolemize @t43 1)) % 0.38/0.58 (define @t45 () (forall @t8 (not (tptp.c_less_ @t44 @t1)))) % 0.38/0.58 (define @t46 () (@quantifiers_skolemize @t45 0)) % 0.38/0.58 (define @t47 () (tptp.c_less_ @t44 @t46)) % 0.38/0.58 (define @t48 () (not @t45)) % 0.38/0.58 (define @t49 () (not @t47)) % 0.38/0.58 (define @t50 () (not @t49)) % 0.38/0.58 (define @t51 () (@quantifiers_skolemize @t43 0)) % 0.38/0.58 (define @t52 () (tptp.cQ @t44 @t51)) % 0.38/0.58 (define @t53 () (or @t49 @t52)) % 0.38/0.58 (define @t54 () (not @t53)) % 0.38/0.58 (define @t55 () (@list true false)) % 0.38/0.58 (assume @p1 @t19) % 0.38/0.58 (assume @p2 true) % 0.38/0.58 (step @p3 :rule refl :args (@t20)) % 0.38/0.58 (step @p4 :rule refl :args (@t3)) % 0.38/0.58 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t20))) % 0.38/0.58 (step @p6 :rule symm :premises (@p5)) % 0.38/0.58 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.38/0.58 (step @p8 :rule cong :premises (@p7) :args (@t5)) % 0.38/0.58 (step @p9 :rule refl :args (@t21)) % 0.38/0.58 (step @p10 :rule refl :args (@t7)) % 0.38/0.58 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t7 @t21))) % 0.38/0.58 (step @p12 :rule symm :premises (@p11)) % 0.38/0.58 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.38/0.58 (step @p14 :rule cong :premises (@p13) :args (@t22)) % 0.38/0.58 (step @p15 :rule cong :premises (@p14) :args (@t23)) % 0.38/0.58 (step @p16 :rule cong :premises (@p15) :args (@t24)) % 0.38/0.58 (step @p17 :rule exists-elim :args ((= @t9 @t24))) % 0.38/0.58 (step @p18 :rule trans :premises (@p17 @p16)) % 0.38/0.58 (step @p19 :rule cong :premises (@p18) :args (@t10)) % 0.38/0.58 (step @p20 :rule quant-merge-prenex :args ((= (forall @t15 @t31) @t30))) % 0.38/0.58 (step @p21 :rule alpha_equiv :args (@t32 (@list @t25) @t33)) % 0.38/0.58 (step @p22 :rule alpha_equiv :args (@t34 (@list @t27) @t33)) % 0.38/0.58 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t35)) % 0.38/0.58 (step @p24 :rule quant-miniscope-or :args ((= @t31 @t35))) % 0.38/0.58 (step @p25 :rule trans :premises (@p24 @p23)) % 0.38/0.58 (step @p26 :rule symm :premises (@p25)) % 0.38/0.58 (step @p27 :rule cong :premises (@p26) :args ((forall @t15 (or @t38 @t36)))) % 0.38/0.58 (step @p28 :rule trans :premises (@p27 @p20)) % 0.38/0.58 (step @p29 :rule refl :args (@t36)) % 0.38/0.58 (step @p30 :rule bool-double-not-elim :args (@t38)) % 0.38/0.58 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or (not @t39) @t36))) % 0.38/0.58 (step @p32 :rule bool-impl-elim :args (@t39 @t36)) % 0.38/0.58 (step @p33 :rule trans :premises (@p32 @p31)) % 0.38/0.58 (step @p34 :rule cong :premises (@p33) :args ((forall @t15 (=> @t39 @t36)))) % 0.38/0.59 (step @p35 :rule trans :premises (@p34 @p28)) % 0.38/0.59 (step @p36 :rule cong :premises (@p7) :args (@t11)) % 0.38/0.59 (step @p37 :rule refl :args (@t37)) % 0.38/0.59 (step @p38 :rule refl :args (@t12)) % 0.38/0.59 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t12 @t37))) % 0.38/0.59 (step @p40 :rule symm :premises (@p39)) % 0.38/0.59 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.38/0.59 (step @p42 :rule cong :premises (@p41) :args (@t40)) % 0.38/0.59 (step @p43 :rule cong :premises (@p42) :args (@t41)) % 0.38/0.59 (step @p44 :rule cong :premises (@p43) :args (@t42)) % 0.38/0.59 (step @p45 :rule exists-elim :args ((= @t13 @t42))) % 0.38/0.59 (step @p46 :rule trans :premises (@p45 @p44)) % 0.38/0.59 (step @p47 :rule cong :premises (@p46 @p36) :args (@t14)) % 0.38/0.59 (step @p48 :rule cong :premises (@p47) :args (@t16)) % 0.38/0.59 (step @p49 :rule trans :premises (@p48 @p35)) % 0.38/0.59 (step @p50 :rule nary_cong :premises (@p49 @p19) :args (@t17)) % 0.38/0.59 (step @p51 :rule cong :premises (@p50 @p8) :args (@t18)) % 0.38/0.59 (step @p52 :rule cong :premises (@p51) :args (@t19)) % 0.38/0.59 (step @p53 :rule eq_resolve :premises (@p1 @p52)) % 0.38/0.59 (step @p54 :rule not_implies_elim1 :premises (@p53)) % 0.38/0.59 (step @p55 :rule and_elim :premises (@p54) :args (0)) % 0.38/0.59 (step @p56 :rule and_elim :premises (@p54) :args (1)) % 0.38/0.59 (step @p57 :rule instantiate :premises (@p56) :args ((@list @t44))) % 0.38/0.59 (step @p58 :rule refl :args (@t47)) % 0.38/0.59 (step @p59 :rule bool-double-not-elim :args (@t45)) % 0.38/0.59 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or (not @t48) @t47))) % 0.38/0.59 (step @p61 :rule bool-double-not-elim :args (@t47)) % 0.38/0.59 (step @p62 :rule refl :args (@t48)) % 0.38/0.59 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t48 @t50))) % 0.38/0.59 (assume-push @p83 @t48) % 0.38/0.59 (step @p65 :rule skolemize :premises (@p57)) % 0.38/0.59 (step-pop @p84 :rule scope :premises (@p65)) % 0.38/0.59 (step @p66 :rule process_scope :premises (@p84) :args (@t50)) % 0.38/0.59 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 0.38/0.59 (step @p69 :rule implies_elim :premises (@p68)) % 0.38/0.59 (step @p70 :rule eq_resolve :premises (@p69 @p60)) % 0.38/0.59 (step @p71 :rule chain_m_resolution :premises (@p70 @p57) :args (@t47 (@list true) (@list @t45))) % 0.38/0.59 (step @p72 :rule not_implies_elim2 :premises (@p53)) % 0.38/0.59 (step @p73 :rule skolemize :premises (@p72)) % 0.38/0.59 (step @p74 :rule cnf_or_pos :args (@t53)) % 0.38/0.59 (step @p75 :rule reordering :premises (@p74) :args ((or @t52 @t49 @t54))) % 0.38/0.59 (step @p76 :rule chain_m_resolution :premises (@p75 @p73 @p71) :args (@t54 @t55 (@list @t52 @t47))) % 0.38/0.59 (assume-push @p85 @t30) % 0.38/0.59 (step @p78 :rule instantiate :premises (@p55) :args ((@list @t44 @t46 @t51))) % 0.38/0.59 (step-pop @p86 :rule scope :premises (@p78)) % 0.38/0.59 (step @p79 :rule process_scope :premises (@p86) :args (@t53)) % 0.38/0.59 (step @p81 :rule implies_elim :premises (@p79)) % 0.38/0.59 (step @p82 false :rule chain_m_resolution :premises (@p81 @p76 @p55) :args (false @t55 (@list @t53 @t30))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------