%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL579^2 : TPTP v9.3.1. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.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 0.31s 0.57s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL579^2 : TPTP v9.3.1. Released v5.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.36 % Computer : n014.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Sun Sep 6 00:14:12 UTC 2026 % 0.15/0.36 % CPUTime : % 0.15/0.43 %----Proving TH0 % 0.31/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.57 % SZS status Theorem % 0.31/0.57 % SZS output start Proof % 0.31/0.57 ( % 0.31/0.57 (declare-sort $$unsorted 0) % 0.31/0.57 (declare-const tptp.cX $$unsorted) % 0.31/0.57 (declare-const tptp.cY $$unsorted) % 0.31/0.57 (define @t1 () (@var "R" (-> $$unsorted Bool))) % 0.31/0.57 (define @t2 () (_ @t1 tptp.cY)) % 0.31/0.57 (define @t3 () (_ @t1 tptp.cX)) % 0.31/0.57 (define @t4 () (@list @t1)) % 0.31/0.57 (define @t5 () (forall @t4 (=> @t3 @t2))) % 0.31/0.57 (define @t6 () (@var "P" (-> $$unsorted Bool))) % 0.31/0.57 (define @t7 () (_ @t6 tptp.cX)) % 0.31/0.57 (define @t8 () (_ @t6 tptp.cY)) % 0.31/0.57 (define @t9 () (@list @t6)) % 0.31/0.57 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.31/0.57 (define @t11 () (=> @t10 @t5)) % 0.31/0.57 (define @t12 () (not @t11)) % 0.31/0.57 (define @t13 () (_ @t1 tptp.cY)) % 0.31/0.57 (define @t14 () (_ @t1 tptp.cX)) % 0.31/0.57 (define @t15 () (not @t3)) % 0.31/0.57 (define @t16 () (or @t15 @t2)) % 0.31/0.57 (define @t17 () (_ @t6 tptp.cX)) % 0.31/0.57 (define @t18 () (_ @t6 tptp.cY)) % 0.31/0.57 (define @t19 () (not @t8)) % 0.31/0.57 (define @t20 () (or @t19 @t7)) % 0.31/0.57 (define @t21 () (@quantifiers_skolemize (forall @t4 (or (not @t14) @t13)) 0)) % 0.31/0.57 (define @t22 () (_ @t21 tptp.cY)) % 0.31/0.57 (define @t23 () (_ @t21 tptp.cX)) % 0.31/0.57 (define @t24 () (not @t23)) % 0.31/0.57 (define @t25 () (or @t24 @t22)) % 0.31/0.57 (define @t26 () (@list true)) % 0.31/0.57 (define @t27 () (@list @t25)) % 0.31/0.57 (define @t28 () (= tptp.cY tptp.cX)) % 0.31/0.57 (define @t29 () (@var "BOUND_VARIABLE_14562" $$unsorted)) % 0.31/0.57 (define @t30 () (lambda (@list @t29) (= @t29 tptp.cY))) % 0.31/0.57 (define @t31 () (_ @t30 tptp.cX)) % 0.31/0.57 (define @t32 () (_ @t30 tptp.cY)) % 0.31/0.57 (define @t33 () (not @t32)) % 0.31/0.57 (define @t34 () (or @t33 @t31)) % 0.31/0.57 (define @t35 () (forall @t9 (or (not @t18) @t17))) % 0.31/0.57 (assume @p1 @t12) % 0.31/0.57 (assume @p2 true) % 0.31/0.57 (step @p3 :rule evaluate :args ((= true false))) % 0.31/0.57 (step @p4 :rule refl :args (@t13)) % 0.31/0.57 (step @p5 :rule refl :args (@t2)) % 0.31/0.57 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t2 @t13))) % 0.31/0.57 (step @p7 :rule symm :premises (@p6)) % 0.31/0.57 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.31/0.57 (step @p9 :rule refl :args (@t14)) % 0.31/0.57 (step @p10 :rule refl :args (@t3)) % 0.31/0.57 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t3 @t14))) % 0.31/0.57 (step @p12 :rule symm :premises (@p11)) % 0.31/0.57 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.31/0.57 (step @p14 :rule cong :premises (@p13) :args (@t15)) % 0.31/0.57 (step @p15 :rule nary_cong :premises (@p14 @p8) :args (@t16)) % 0.31/0.57 (step @p16 :rule cong :premises (@p15) :args ((forall @t4 @t16))) % 0.31/0.57 (step @p17 :rule bool-impl-elim :args (@t3 @t2)) % 0.31/0.57 (step @p18 :rule cong :premises (@p17) :args (@t5)) % 0.31/0.57 (step @p19 :rule trans :premises (@p18 @p16)) % 0.31/0.57 (step @p20 :rule refl :args (@t17)) % 0.31/0.57 (step @p21 :rule refl :args (@t7)) % 0.31/0.57 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t7 @t17))) % 0.31/0.57 (step @p23 :rule symm :premises (@p22)) % 0.31/0.57 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.31/0.57 (step @p25 :rule refl :args (@t18)) % 0.31/0.57 (step @p26 :rule refl :args (@t8)) % 0.31/0.57 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t8 @t18))) % 0.31/0.57 (step @p28 :rule symm :premises (@p27)) % 0.31/0.57 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.31/0.57 (step @p30 :rule cong :premises (@p29) :args (@t19)) % 0.31/0.57 (step @p31 :rule nary_cong :premises (@p30 @p24) :args (@t20)) % 0.31/0.57 (step @p32 :rule cong :premises (@p31) :args ((forall @t9 @t20))) % 0.31/0.57 (step @p33 :rule bool-impl-elim :args (@t8 @t7)) % 0.31/0.57 (step @p34 :rule cong :premises (@p33) :args (@t10)) % 0.31/0.57 (step @p35 :rule trans :premises (@p34 @p32)) % 0.31/0.57 (step @p36 :rule cong :premises (@p35 @p19) :args (@t11)) % 0.31/0.57 (step @p37 :rule cong :premises (@p36) :args (@t12)) % 0.31/0.57 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 0.31/0.57 (step @p39 :rule not_implies_elim2 :premises (@p38)) % 0.31/0.57 (step @p40 :rule skolemize :premises (@p39)) % 0.31/0.57 (step @p41 :rule cnf_or_neg :args (@t25 1)) % 0.31/0.57 (step @p42 :rule chain_m_resolution :premises (@p41 @p40) :args ((not @t22) @t26 @t27)) % 0.31/0.57 (step @p43 :rule false_intro :premises (@p42)) % 0.31/0.57 (step @p44 :rule refl :args (@t22)) % 0.31/0.57 (step @p45 :rule symm :premises (@p44)) % 0.31/0.57 (step @p46 :rule not_implies_elim1 :premises (@p38)) % 0.31/0.57 (step @p47 :rule aci_norm :args ((= (or false @t28) @t28))) % 0.31/0.57 (step @p48 :rule eq-symm :args (tptp.cX tptp.cY)) % 0.31/0.57 (step @p49 :rule beta-reduce :args ((= @t31 (= tptp.cX tptp.cY)))) % 0.31/0.57 (step @p50 :rule trans :premises (@p49 @p48)) % 0.31/0.57 (step @p51 :rule evaluate :args ((not true))) % 0.31/0.57 (step @p52 :rule eq-refl :args (tptp.cY)) % 0.31/0.57 (step @p53 :rule beta-reduce :args ((= @t32 (= tptp.cY tptp.cY)))) % 0.31/0.58 (step @p54 :rule trans :premises (@p53 @p52)) % 0.31/0.58 (step @p55 :rule cong :premises (@p54) :args (@t33)) % 0.31/0.58 (step @p56 :rule trans :premises (@p55 @p51)) % 0.31/0.58 (step @p57 :rule nary_cong :premises (@p56 @p50) :args (@t34)) % 0.31/0.58 (step @p58 :rule trans :premises (@p57 @p47)) % 0.31/0.58 (step @p59 :rule refl :args (@t35)) % 0.31/0.58 (step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t35 @t34))) % 0.31/0.58 (assume-push @p83 @t35) % 0.31/0.58 (step @p62 :rule instantiate :premises (@p46) :args ((@list @t30))) % 0.31/0.58 (step-pop @p84 :rule scope :premises (@p62)) % 0.31/0.58 (step @p63 :rule process_scope :premises (@p84) :args (@t34)) % 0.31/0.58 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 0.31/0.58 (step @p66 :rule implies_elim :premises (@p65)) % 0.31/0.58 (step @p67 :rule chain_m_resolution :premises (@p66 @p46) :args (@t28 (@list false) (@list @t35))) % 0.31/0.58 (step @p68 :rule symm :premises (@p67)) % 0.31/0.58 (step @p69 :rule refl :args (@t21)) % 0.31/0.58 (step @p70 :rule ho_cong :premises (@p69 @p68)) % 0.31/0.58 (step @p71 :rule refl :args (@t23)) % 0.31/0.58 (step @p72 :rule bool-double-not-elim :args (@t23)) % 0.31/0.58 (step @p73 :rule refl :args (@t25)) % 0.31/0.58 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t25 (not @t24)))) % 0.31/0.58 (step @p75 :rule cnf_or_neg :args (@t25 0)) % 0.31/0.58 (step @p76 :rule eq_resolve :premises (@p75 @p74)) % 0.31/0.58 (step @p77 :rule reordering :premises (@p76) :args ((or @t23 @t25))) % 0.31/0.58 (step @p78 :rule chain_m_resolution :premises (@p77 @p40) :args (@t23 @t26 @t27)) % 0.31/0.58 (step @p79 :rule true_intro :premises (@p78)) % 0.31/0.58 (step @p80 :rule symm :premises (@p79)) % 0.31/0.58 (step @p81 :rule trans :premises (@p80 @p71 @p70 @p45 @p43)) % 0.31/0.58 (step @p82 false :rule eq_resolve :premises (@p81 @p3)) % 0.31/0.58 ) % 0.31/0.58 % SZS output end Proof % 0.31/0.58 % cvc5 exiting %------------------------------------------------------------------------------