%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL579^1 : TPTP v9.3.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:06 AM UTC 2026 % Result : Theorem 0.21s 0.54s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL579^1 : TPTP v9.3.1. Released v3.6.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n013.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Fri Sep 4 23:42:50 UTC 2026 % 0.09/0.36 % CPUTime : % 0.14/0.42 %----Proving TH0 % 0.21/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.21/0.54 % SZS status Theorem % 0.21/0.54 % SZS output start Proof % 0.21/0.54 ( % 0.21/0.54 (declare-sort $$unsorted 0) % 0.21/0.54 (define @t1 () (@var "X" $$unsorted)) % 0.21/0.54 (define @t2 () (@var "P" (-> $$unsorted Bool))) % 0.21/0.54 (define @t3 () (_ @t2 @t1)) % 0.21/0.54 (define @t4 () (@var "Y" $$unsorted)) % 0.21/0.54 (define @t5 () (_ @t2 @t4)) % 0.21/0.54 (define @t6 () (@list @t2)) % 0.21/0.54 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.21/0.54 (define @t8 () (forall @t6 (=> @t3 @t5))) % 0.21/0.54 (define @t9 () (=> @t8 @t7)) % 0.21/0.54 (define @t10 () (@list @t1 @t4)) % 0.21/0.54 (define @t11 () (forall @t10 @t9)) % 0.21/0.54 (define @t12 () (not @t11)) % 0.21/0.54 (define @t13 () (@var "BOUND_VARIABLE_7440" (-> $$unsorted Bool))) % 0.21/0.54 (define @t14 () (_ @t13 @t1)) % 0.21/0.54 (define @t15 () (not (_ @t13 @t4))) % 0.21/0.54 (define @t16 () (_ @t2 @t4)) % 0.21/0.54 (define @t17 () (_ @t2 @t1)) % 0.21/0.54 (define @t18 () (forall @t6 (or (not @t17) @t16))) % 0.21/0.54 (define @t19 () (not @t18)) % 0.21/0.54 (define @t20 () (or @t19 @t15 @t14)) % 0.21/0.54 (define @t21 () (or @t15 @t14)) % 0.21/0.54 (define @t22 () (or @t19 @t21)) % 0.21/0.54 (define @t23 () (@list @t1 @t4 @t13)) % 0.21/0.54 (define @t24 () (forall @t23 @t22)) % 0.21/0.54 (define @t25 () (@list @t13)) % 0.21/0.54 (define @t26 () (forall @t25 @t22)) % 0.21/0.54 (define @t27 () (forall @t25 @t21)) % 0.21/0.54 (define @t28 () (or @t19 @t27)) % 0.21/0.54 (define @t29 () (forall @t6 (or (not @t16) @t17))) % 0.21/0.54 (define @t30 () (not @t5)) % 0.21/0.54 (define @t31 () (or @t30 @t3)) % 0.21/0.54 (define @t32 () (not @t3)) % 0.21/0.54 (define @t33 () (or @t32 @t5)) % 0.21/0.54 (define @t34 () (forall @t23 @t20)) % 0.21/0.54 (define @t35 () (@quantifiers_skolemize @t34 0)) % 0.21/0.54 (define @t36 () (@quantifiers_skolemize @t34 2)) % 0.21/0.54 (define @t37 () (_ @t36 @t35)) % 0.21/0.54 (define @t38 () (@quantifiers_skolemize @t34 1)) % 0.21/0.54 (define @t39 () (_ @t36 @t38)) % 0.21/0.54 (define @t40 () (not @t39)) % 0.21/0.54 (define @t41 () (forall @t6 (or (not (_ @t2 @t35)) (_ @t2 @t38)))) % 0.21/0.54 (define @t42 () (not @t41)) % 0.21/0.54 (define @t43 () (or @t42 @t40 @t37)) % 0.21/0.54 (define @t44 () (@list true)) % 0.21/0.54 (define @t45 () (@list @t43)) % 0.21/0.54 (define @t46 () (= @t35 @t38)) % 0.21/0.54 (define @t47 () (@var "BOUND_VARIABLE_14597" $$unsorted)) % 0.21/0.54 (define @t48 () (lambda (@list @t47) (= @t47 @t35))) % 0.21/0.54 (define @t49 () (_ @t48 @t38)) % 0.21/0.54 (define @t50 () (_ @t48 @t35)) % 0.21/0.54 (define @t51 () (not @t50)) % 0.21/0.54 (define @t52 () (or @t51 @t49)) % 0.21/0.54 (assume @p1 @t12) % 0.21/0.54 (assume @p2 true) % 0.21/0.54 (step @p3 :rule evaluate :args ((= true false))) % 0.21/0.54 (step @p4 :rule aci_norm :args ((= @t22 @t20))) % 0.21/0.54 (step @p5 :rule cong :premises (@p4) :args (@t24)) % 0.21/0.54 (step @p6 :rule quant-merge-prenex :args ((= (forall @t10 @t26) @t24))) % 0.21/0.54 (step @p7 :rule alpha_equiv :args (@t27 (@list @t13) (@list @t2))) % 0.21/0.54 (step @p8 :rule refl :args (@t19)) % 0.21/0.54 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t28)) % 0.21/0.54 (step @p10 :rule quant-miniscope-or :args ((= @t26 @t28))) % 0.21/0.54 (step @p11 :rule trans :premises (@p10 @p9)) % 0.21/0.54 (step @p12 :rule symm :premises (@p11)) % 0.21/0.54 (step @p13 :rule cong :premises (@p12) :args ((forall @t10 (or @t19 @t29)))) % 0.21/0.54 (step @p14 :rule trans :premises (@p13 @p6)) % 0.21/0.54 (step @p15 :rule trans :premises (@p14 @p5)) % 0.21/0.54 (step @p16 :rule bool-impl-elim :args (@t18 @t29)) % 0.21/0.54 (step @p17 :rule cong :premises (@p16) :args ((forall @t10 (=> @t18 @t29)))) % 0.21/0.54 (step @p18 :rule trans :premises (@p17 @p15)) % 0.21/0.54 (step @p19 :rule refl :args (@t17)) % 0.21/0.54 (step @p20 :rule refl :args (@t3)) % 0.21/0.54 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t3 @t17))) % 0.21/0.54 (step @p22 :rule symm :premises (@p21)) % 0.21/0.54 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.21/0.54 (step @p24 :rule refl :args (@t16)) % 0.21/0.54 (step @p25 :rule refl :args (@t5)) % 0.21/0.54 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t5 @t16))) % 0.21/0.54 (step @p27 :rule symm :premises (@p26)) % 0.21/0.54 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.21/0.54 (step @p29 :rule cong :premises (@p28) :args (@t30)) % 0.21/0.54 (step @p30 :rule nary_cong :premises (@p29 @p23) :args (@t31)) % 0.21/0.54 (step @p31 :rule cong :premises (@p30) :args ((forall @t6 @t31))) % 0.21/0.54 (step @p32 :rule bool-impl-elim :args (@t5 @t3)) % 0.21/0.54 (step @p33 :rule cong :premises (@p32) :args (@t7)) % 0.21/0.54 (step @p34 :rule trans :premises (@p33 @p31)) % 0.21/0.54 (step @p35 :rule cong :premises (@p23) :args (@t32)) % 0.21/0.54 (step @p36 :rule nary_cong :premises (@p35 @p28) :args (@t33)) % 0.21/0.54 (step @p37 :rule cong :premises (@p36) :args ((forall @t6 @t33))) % 0.21/0.54 (step @p38 :rule bool-impl-elim :args (@t3 @t5)) % 0.21/0.54 (step @p39 :rule cong :premises (@p38) :args (@t8)) % 0.21/0.54 (step @p40 :rule trans :premises (@p39 @p37)) % 0.21/0.55 (step @p41 :rule cong :premises (@p40 @p34) :args (@t9)) % 0.21/0.55 (step @p42 :rule cong :premises (@p41) :args (@t11)) % 0.21/0.55 (step @p43 :rule trans :premises (@p42 @p18)) % 0.21/0.55 (step @p44 :rule cong :premises (@p43) :args (@t12)) % 0.21/0.55 (step @p45 :rule eq_resolve :premises (@p1 @p44)) % 0.21/0.55 (step @p46 :rule skolemize :premises (@p45)) % 0.21/0.55 (step @p47 :rule cnf_or_neg :args (@t43 2)) % 0.21/0.55 (step @p48 :rule chain_m_resolution :premises (@p47 @p46) :args ((not @t37) @t44 @t45)) % 0.21/0.55 (step @p49 :rule false_intro :premises (@p48)) % 0.21/0.55 (step @p50 :rule refl :args (@t37)) % 0.21/0.55 (step @p51 :rule symm :premises (@p50)) % 0.21/0.55 (step @p52 :rule bool-double-not-elim :args (@t41)) % 0.21/0.55 (step @p53 :rule refl :args (@t43)) % 0.21/0.55 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t43 (not @t42)))) % 0.21/0.55 (step @p55 :rule cnf_or_neg :args (@t43 0)) % 0.21/0.55 (step @p56 :rule eq_resolve :premises (@p55 @p54)) % 0.21/0.55 (step @p57 :rule reordering :premises (@p56) :args ((or @t41 @t43))) % 0.21/0.55 (step @p58 :rule chain_m_resolution :premises (@p57 @p46) :args (@t41 @t44 @t45)) % 0.21/0.55 (step @p59 :rule aci_norm :args ((= (or false @t46) @t46))) % 0.21/0.55 (step @p60 :rule eq-symm :args (@t38 @t35)) % 0.21/0.55 (step @p61 :rule beta-reduce :args ((= @t49 (= @t38 @t35)))) % 0.21/0.55 (step @p62 :rule trans :premises (@p61 @p60)) % 0.21/0.55 (step @p63 :rule evaluate :args ((not true))) % 0.21/0.55 (step @p64 :rule eq-refl :args (@t35)) % 0.21/0.55 (step @p65 :rule beta-reduce :args ((= @t50 (= @t35 @t35)))) % 0.21/0.55 (step @p66 :rule trans :premises (@p65 @p64)) % 0.21/0.55 (step @p67 :rule cong :premises (@p66) :args (@t51)) % 0.21/0.55 (step @p68 :rule trans :premises (@p67 @p63)) % 0.21/0.55 (step @p69 :rule nary_cong :premises (@p68 @p62) :args (@t52)) % 0.21/0.55 (step @p70 :rule trans :premises (@p69 @p59)) % 0.21/0.55 (step @p71 :rule refl :args (@t41)) % 0.21/0.55 (step @p72 :rule cong :premises (@p71 @p70) :args ((=> @t41 @t52))) % 0.21/0.55 (assume-push @p94 @t41) % 0.21/0.55 (step @p74 :rule instantiate :premises (@p58) :args ((@list @t48))) % 0.21/0.55 (step-pop @p95 :rule scope :premises (@p74)) % 0.21/0.55 (step @p75 :rule process_scope :premises (@p95) :args (@t52)) % 0.21/0.55 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 0.21/0.55 (step @p78 :rule implies_elim :premises (@p77)) % 0.21/0.55 (step @p79 :rule chain_m_resolution :premises (@p78 @p58) :args (@t46 (@list false) (@list @t41))) % 0.21/0.55 (step @p80 :rule symm :premises (@p79)) % 0.21/0.55 (step @p81 :rule refl :args (@t36)) % 0.21/0.55 (step @p82 :rule ho_cong :premises (@p81 @p80)) % 0.21/0.55 (step @p83 :rule refl :args (@t39)) % 0.21/0.55 (step @p84 :rule bool-double-not-elim :args (@t39)) % 0.21/0.55 (step @p85 :rule nary_cong :premises (@p53 @p84) :args ((or @t43 (not @t40)))) % 0.21/0.55 (step @p86 :rule cnf_or_neg :args (@t43 1)) % 0.21/0.55 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 0.21/0.55 (step @p88 :rule reordering :premises (@p87) :args ((or @t39 @t43))) % 0.21/0.55 (step @p89 :rule chain_m_resolution :premises (@p88 @p46) :args (@t39 @t44 @t45)) % 0.21/0.55 (step @p90 :rule true_intro :premises (@p89)) % 0.21/0.55 (step @p91 :rule symm :premises (@p90)) % 0.21/0.55 (step @p92 :rule trans :premises (@p91 @p83 @p82 @p51 @p49)) % 0.21/0.55 (step @p93 false :rule eq_resolve :premises (@p92 @p3)) % 0.21/0.55 ) % 0.21/0.55 % SZS output end Proof % 0.21/0.55 % cvc5 exiting %------------------------------------------------------------------------------