%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO220^5 : 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 : 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 09:12:15 AM UTC 2026 % Result : Theorem 0.15s 0.37s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : SYO220^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Wed Jun 3 00:01:03 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.34 %----Proving TH0 % 0.15/0.37 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.37 % SZS status Theorem % 0.15/0.37 % SZS output start Proof % 0.15/0.37 ( % 0.15/0.37 (declare-sort $$unsorted 0) % 0.15/0.37 (define @t1 () (@var "Y" $$unsorted)) % 0.15/0.37 (define @t2 () (@var "X" $$unsorted)) % 0.15/0.37 (define @t3 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.15/0.37 (define @t4 () (_ (_ @t3 @t2) @t1)) % 0.15/0.37 (define @t5 () (@var "Z" $$unsorted)) % 0.15/0.37 (define @t6 () (_ (_ @t3 @t5) @t5)) % 0.15/0.37 (define @t7 () (@list @t5)) % 0.15/0.37 (define @t8 () (forall @t7 @t6)) % 0.15/0.37 (define @t9 () (=> @t8 @t4)) % 0.15/0.37 (define @t10 () (@list @t3)) % 0.15/0.37 (define @t11 () (forall @t10 @t9)) % 0.15/0.37 (define @t12 () (= @t2 @t1)) % 0.15/0.37 (define @t13 () (=> @t12 @t11)) % 0.15/0.37 (define @t14 () (@list @t2 @t1)) % 0.15/0.37 (define @t15 () (forall @t14 @t13)) % 0.15/0.37 (define @t16 () (not @t15)) % 0.15/0.37 (define @t17 () (@var "BOUND_VARIABLE_7441" (-> $$unsorted $$unsorted Bool))) % 0.15/0.37 (define @t18 () (_ @t17 @t1 @t1)) % 0.15/0.37 (define @t19 () (not (forall @t7 (_ @t17 @t5 @t5)))) % 0.15/0.37 (define @t20 () (or @t19 @t18)) % 0.15/0.37 (define @t21 () (not (= @t1 @t1))) % 0.15/0.37 (define @t22 () (or @t21 @t19 @t18)) % 0.15/0.37 (define @t23 () (@list @t1 @t17)) % 0.15/0.37 (define @t24 () (_ @t17 @t2 @t1)) % 0.15/0.37 (define @t25 () (not @t12)) % 0.15/0.37 (define @t26 () (or @t25 @t25 @t19 @t24)) % 0.15/0.37 (define @t27 () (@list @t2)) % 0.15/0.37 (define @t28 () (or @t25 @t19 @t24)) % 0.15/0.37 (define @t29 () (forall @t27 @t28)) % 0.15/0.37 (define @t30 () (forall @t23 @t29)) % 0.15/0.37 (define @t31 () (forall (@list @t1 @t17 @t2) @t28)) % 0.15/0.37 (define @t32 () (@list @t2 @t1 @t17)) % 0.15/0.37 (define @t33 () (or @t19 @t24)) % 0.15/0.37 (define @t34 () (or @t25 @t33)) % 0.15/0.37 (define @t35 () (forall @t32 @t34)) % 0.15/0.37 (define @t36 () (@list @t17)) % 0.15/0.37 (define @t37 () (forall @t36 @t34)) % 0.15/0.37 (define @t38 () (forall @t36 @t33)) % 0.15/0.37 (define @t39 () (or @t25 @t38)) % 0.15/0.37 (define @t40 () (_ @t3 @t2 @t1)) % 0.15/0.37 (define @t41 () (_ @t3 @t5 @t5)) % 0.15/0.37 (define @t42 () (forall @t7 @t41)) % 0.15/0.37 (define @t43 () (not @t42)) % 0.15/0.37 (define @t44 () (forall @t10 (or @t43 @t40))) % 0.15/0.37 (define @t45 () (or @t43 @t4)) % 0.15/0.37 (define @t46 () (forall @t23 @t20)) % 0.15/0.37 (define @t47 () (@quantifiers_skolemize @t46 1)) % 0.15/0.37 (define @t48 () (forall @t7 (_ @t47 @t5 @t5))) % 0.15/0.37 (define @t49 () (@quantifiers_skolemize @t46 0)) % 0.15/0.37 (define @t50 () (_ @t47 @t49 @t49)) % 0.15/0.37 (define @t51 () (not @t48)) % 0.15/0.37 (define @t52 () (or @t51 @t50)) % 0.15/0.37 (define @t53 () (@list true)) % 0.15/0.37 (define @t54 () (@list @t52)) % 0.15/0.37 (assume @p1 @t16) % 0.15/0.37 (assume @p2 true) % 0.15/0.37 (step @p3 :rule aci_norm :args ((= (or false @t19 @t18) @t20))) % 0.15/0.37 (step @p4 :rule refl :args (@t18)) % 0.15/0.37 (step @p5 :rule refl :args (@t19)) % 0.15/0.37 (step @p6 :rule evaluate :args ((not true))) % 0.15/0.37 (step @p7 :rule eq-refl :args (@t1)) % 0.15/0.37 (step @p8 :rule cong :premises (@p7) :args (@t21)) % 0.15/0.37 (step @p9 :rule trans :premises (@p8 @p6)) % 0.15/0.37 (step @p10 :rule nary_cong :premises (@p9 @p5 @p4) :args (@t22)) % 0.15/0.37 (step @p11 :rule trans :premises (@p10 @p3)) % 0.15/0.37 (step @p12 :rule cong :premises (@p11) :args ((forall @t23 @t22))) % 0.15/0.37 (step @p13 :rule quant-var-elim-eq :args ((= (forall @t27 @t26) @t22))) % 0.15/0.37 (step @p14 :rule aci_norm :args ((= @t28 @t26))) % 0.15/0.37 (step @p15 :rule cong :premises (@p14) :args (@t29)) % 0.15/0.37 (step @p16 :rule trans :premises (@p15 @p13)) % 0.15/0.37 (step @p17 :rule cong :premises (@p16) :args (@t30)) % 0.15/0.37 (step @p18 :rule quant-merge-prenex :args ((= @t30 @t31))) % 0.15/0.37 (step @p19 :rule symm :premises (@p18)) % 0.15/0.37 (step @p20 :rule quant_var_reordering :args ((= (forall @t32 @t28) @t31))) % 0.15/0.37 (step @p21 :rule trans :premises (@p20 @p19 @p17)) % 0.15/0.37 (step @p22 :rule trans :premises (@p21 @p12)) % 0.15/0.37 (step @p23 :rule aci_norm :args ((= @t34 @t28))) % 0.15/0.37 (step @p24 :rule cong :premises (@p23) :args (@t35)) % 0.15/0.37 (step @p25 :rule trans :premises (@p24 @p22)) % 0.15/0.37 (step @p26 :rule quant-merge-prenex :args ((= (forall @t14 @t37) @t35))) % 0.15/0.37 (step @p27 :rule alpha_equiv :args (@t38 (@list @t17) (@list @t3))) % 0.15/0.37 (step @p28 :rule refl :args (@t25)) % 0.15/0.37 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t39)) % 0.15/0.37 (step @p30 :rule quant-miniscope-or :args ((= @t37 @t39))) % 0.15/0.37 (step @p31 :rule trans :premises (@p30 @p29)) % 0.15/0.37 (step @p32 :rule symm :premises (@p31)) % 0.15/0.37 (step @p33 :rule cong :premises (@p32) :args ((forall @t14 (or @t25 @t44)))) % 0.15/0.37 (step @p34 :rule trans :premises (@p33 @p26)) % 0.15/0.37 (step @p35 :rule trans :premises (@p34 @p25)) % 0.15/0.37 (step @p36 :rule bool-impl-elim :args (@t12 @t44)) % 0.15/0.37 (step @p37 :rule cong :premises (@p36) :args ((forall @t14 (=> @t12 @t44)))) % 0.15/0.37 (step @p38 :rule trans :premises (@p37 @p35)) % 0.15/0.37 (step @p39 :rule refl :args (@t40)) % 0.15/0.37 (step @p40 :rule refl :args (@t4)) % 0.15/0.37 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t4 @t40))) % 0.15/0.37 (step @p42 :rule symm :premises (@p41)) % 0.15/0.37 (step @p43 :rule eq_resolve :premises (@p40 @p42)) % 0.15/0.37 (step @p44 :rule refl :args (@t43)) % 0.15/0.37 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t45)) % 0.15/0.37 (step @p46 :rule cong :premises (@p45) :args ((forall @t10 @t45))) % 0.15/0.37 (step @p47 :rule bool-impl-elim :args (@t42 @t4)) % 0.15/0.37 (step @p48 :rule cong :premises (@p47) :args ((forall @t10 (=> @t42 @t4)))) % 0.15/0.37 (step @p49 :rule trans :premises (@p48 @p46)) % 0.15/0.37 (step @p50 :rule refl :args (@t4)) % 0.15/0.37 (step @p51 :rule refl :args (@t41)) % 0.15/0.37 (step @p52 :rule refl :args (@t6)) % 0.15/0.37 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t6 @t41))) % 0.15/0.37 (step @p54 :rule symm :premises (@p53)) % 0.15/0.37 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.15/0.37 (step @p56 :rule cong :premises (@p55) :args (@t8)) % 0.15/0.37 (step @p57 :rule cong :premises (@p56 @p50) :args (@t9)) % 0.15/0.37 (step @p58 :rule cong :premises (@p57) :args (@t11)) % 0.15/0.37 (step @p59 :rule trans :premises (@p58 @p49)) % 0.15/0.37 (step @p60 :rule refl :args (@t12)) % 0.15/0.37 (step @p61 :rule cong :premises (@p60 @p59) :args (@t13)) % 0.15/0.37 (step @p62 :rule cong :premises (@p61) :args (@t15)) % 0.15/0.37 (step @p63 :rule trans :premises (@p62 @p38)) % 0.15/0.37 (step @p64 :rule cong :premises (@p63) :args (@t16)) % 0.15/0.37 (step @p65 :rule eq_resolve :premises (@p1 @p64)) % 0.15/0.37 (step @p66 :rule skolemize :premises (@p65)) % 0.15/0.37 (step @p67 :rule bool-double-not-elim :args (@t48)) % 0.15/0.37 (step @p68 :rule refl :args (@t52)) % 0.15/0.37 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t52 (not @t51)))) % 0.15/0.37 (step @p70 :rule cnf_or_neg :args (@t52 0)) % 0.15/0.37 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 0.15/0.37 (step @p72 :rule reordering :premises (@p71) :args ((or @t48 @t52))) % 0.15/0.37 (step @p73 :rule chain_m_resolution :premises (@p72 @p66) :args (@t48 @t53 @t54)) % 0.15/0.37 (step @p74 :rule cnf_or_neg :args (@t52 1)) % 0.15/0.37 (step @p75 :rule chain_m_resolution :premises (@p74 @p66) :args ((not @t50) @t53 @t54)) % 0.15/0.37 (assume-push @p82 @t48) % 0.15/0.37 (step @p77 :rule instantiate :premises (@p73) :args ((@list @t49))) % 0.15/0.37 (step-pop @p83 :rule scope :premises (@p77)) % 0.15/0.37 (step @p78 :rule process_scope :premises (@p83) :args (@t50)) % 0.15/0.37 (step @p80 :rule implies_elim :premises (@p78)) % 0.15/0.37 (step @p81 false :rule chain_m_resolution :premises (@p80 @p75 @p73) :args (false (@list true false) (@list @t50 @t48))) % 0.15/0.37 ) % 0.15/0.37 % SZS output end Proof % 0.15/0.37 % cvc5 exiting %------------------------------------------------------------------------------