%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN997^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 09:10:14 AM UTC 2026 % Result : Theorem 0.62s 0.80s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYN997^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.20/0.35 % Computer : n019.cluster.edu % 0.20/0.35 % Model : x86_64 x86_64 % 0.20/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.20/0.35 % Memory : 8042.1875MB % 0.20/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.20/0.35 % CPULimit : 300 % 0.20/0.35 % WCLimit : 300 % 0.20/0.35 % DateTime : Tue Jun 2 23:51:34 EDT 2026 % 0.20/0.36 % CPUTime : % 0.30/0.51 %----Proving TH0 % 0.62/0.80 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.62/0.80 % SZS status Theorem % 0.62/0.80 % SZS output start Proof % 0.62/0.80 ( % 0.62/0.80 (declare-sort $$unsorted 0) % 0.62/0.80 (define @t1 () (@var "P" (-> $$unsorted Bool))) % 0.62/0.80 (define @t2 () (@var "E" (-> (-> $$unsorted Bool) $$unsorted))) % 0.62/0.80 (define @t3 () (_ @t2 @t1)) % 0.62/0.80 (define @t4 () (_ @t1 @t3)) % 0.62/0.80 (define @t5 () (@var "Y" $$unsorted)) % 0.62/0.80 (define @t6 () (_ @t1 @t5)) % 0.62/0.80 (define @t7 () (@list @t5)) % 0.62/0.80 (define @t8 () (exists @t7 @t6)) % 0.62/0.80 (define @t9 () (=> @t8 @t4)) % 0.62/0.80 (define @t10 () (@list @t1)) % 0.62/0.80 (define @t11 () (forall @t10 @t9)) % 0.62/0.80 (define @t12 () (@list @t2)) % 0.62/0.80 (define @t13 () (exists @t12 @t11)) % 0.62/0.80 (define @t14 () (not @t13)) % 0.62/0.80 (define @t15 () (_ @t2 @t1)) % 0.62/0.80 (define @t16 () (_ @t1 @t15)) % 0.62/0.80 (define @t17 () (@var "BOUND_VARIABLE_7438" $$unsorted)) % 0.62/0.80 (define @t18 () (not (_ @t1 @t17))) % 0.62/0.80 (define @t19 () (or @t18 @t16)) % 0.62/0.80 (define @t20 () (@list @t1 @t17)) % 0.62/0.80 (define @t21 () (forall @t20 @t19)) % 0.62/0.80 (define @t22 () (forall @t12 (not @t21))) % 0.62/0.80 (define @t23 () (@list @t17)) % 0.62/0.80 (define @t24 () (forall @t23 @t19)) % 0.62/0.80 (define @t25 () (forall @t23 @t18)) % 0.62/0.80 (define @t26 () (or @t25 @t16)) % 0.62/0.80 (define @t27 () (_ @t1 @t5)) % 0.62/0.80 (define @t28 () (forall @t7 (not @t27))) % 0.62/0.80 (define @t29 () (or @t28 @t4)) % 0.62/0.80 (define @t30 () (not @t28)) % 0.62/0.80 (define @t31 () (not @t6)) % 0.62/0.80 (define @t32 () (forall @t7 @t31)) % 0.62/0.80 (define @t33 () (not @t32)) % 0.62/0.80 (define @t34 () (@const 0 (-> (-> $$unsorted Bool) $$unsorted))) % 0.62/0.80 (define @t35 () (_ @t34 @t1)) % 0.62/0.80 (define @t36 () (@var "BOUND_VARIABLE_21491" (-> $$unsorted Bool))) % 0.62/0.80 (define @t37 () (_ @t34 @t36)) % 0.62/0.80 (define @t38 () (@list @t36)) % 0.62/0.80 (define @t39 () (lambda @t38 @t37)) % 0.62/0.80 (define @t40 () (_ @t39 @t1)) % 0.62/0.80 (define @t41 () (_ @t1 @t40)) % 0.62/0.80 (define @t42 () (or @t18 @t41)) % 0.62/0.80 (define @t43 () (forall @t20 @t42)) % 0.62/0.80 (define @t44 () (not @t43)) % 0.62/0.80 (define @t45 () (forall @t20 (or @t18 (_ @t1 @t35)))) % 0.62/0.80 (define @t46 () (@quantifiers_skolemize @t45 1)) % 0.62/0.80 (define @t47 () (@quantifiers_skolemize @t45 0)) % 0.62/0.80 (define @t48 () (_ @t47 @t46)) % 0.62/0.80 (define @t49 () (_ @t47 (_ @t34 @t47))) % 0.62/0.80 (define @t50 () (not @t48)) % 0.62/0.80 (define @t51 () (or @t50 @t49)) % 0.62/0.81 (define @t52 () (@list true)) % 0.62/0.81 (define @t53 () (@list @t51)) % 0.62/0.81 (define @t54 () (@var "x" $$unsorted)) % 0.62/0.81 (define @t55 () (@list @t54)) % 0.62/0.81 (define @t56 () (forall @t55 (not (_ @t47 @t54)))) % 0.62/0.81 (define @t57 () (or @t56 @t49)) % 0.62/0.81 (assume @p1 @t14) % 0.62/0.81 (assume @p2 true) % 0.62/0.81 (step @p3 :rule bool-double-not-elim :args (@t22)) % 0.62/0.81 (step @p4 :rule exists-elim :args ((= (exists @t12 @t21) (not @t22)))) % 0.62/0.81 (step @p5 :rule quant-merge-prenex :args ((= (forall @t10 @t24) @t21))) % 0.62/0.81 (step @p6 :rule refl :args (@t16)) % 0.62/0.81 (step @p7 :rule alpha_equiv :args (@t25 (@list @t17) (@list @t5))) % 0.62/0.81 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t26)) % 0.62/0.81 (step @p9 :rule quant-miniscope-or :args ((= @t24 @t26))) % 0.62/0.81 (step @p10 :rule trans :premises (@p9 @p8)) % 0.62/0.81 (step @p11 :rule symm :premises (@p10)) % 0.62/0.81 (step @p12 :rule cong :premises (@p11) :args ((forall @t10 (or @t28 @t16)))) % 0.62/0.81 (step @p13 :rule trans :premises (@p12 @p5)) % 0.62/0.81 (step @p14 :rule refl :args ((_ @t1 @t3))) % 0.62/0.81 (step @p15 :rule refl :args (@t15)) % 0.62/0.81 (step @p16 :rule cong :premises (@p15) :args (@t16)) % 0.62/0.81 (step @p17 :rule trans :premises (@p16 @p14)) % 0.62/0.81 (step @p18 :rule refl :args (@t1)) % 0.62/0.81 (step @p19 :rule ho_cong :premises (@p18 @p15)) % 0.62/0.81 (step @p20 :rule cong :premises (@p19 @p17) :args ((= (_ @t1 @t15) @t16))) % 0.62/0.81 (step @p21 :rule symm :premises (@p20)) % 0.62/0.81 (step @p22 :rule refl :args (@t4)) % 0.62/0.81 (step @p23 :rule eq_resolve :premises (@p22 @p21)) % 0.62/0.81 (step @p24 :rule refl :args (@t3)) % 0.62/0.81 (step @p25 :rule cong :premises (@p24 @p15) :args ((= @t3 @t15))) % 0.62/0.81 (step @p26 :rule symm :premises (@p25)) % 0.62/0.81 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.62/0.81 (step @p28 :rule ho_cong :premises (@p18 @p27)) % 0.62/0.81 (step @p29 :rule trans :premises (@p28 @p23)) % 0.62/0.81 (step @p30 :rule refl :args (@t28)) % 0.62/0.81 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t29)) % 0.62/0.81 (step @p32 :rule cong :premises (@p31) :args ((forall @t10 @t29))) % 0.62/0.81 (step @p33 :rule trans :premises (@p32 @p13)) % 0.62/0.81 (step @p34 :rule bool-double-not-elim :args (@t28)) % 0.62/0.81 (step @p35 :rule nary_cong :premises (@p34 @p22) :args ((or (not @t30) @t4))) % 0.62/0.81 (step @p36 :rule bool-impl-elim :args (@t30 @t4)) % 0.62/0.81 (step @p37 :rule trans :premises (@p36 @p35)) % 0.62/0.81 (step @p38 :rule cong :premises (@p37) :args ((forall @t10 (=> @t30 @t4)))) % 0.62/0.81 (step @p39 :rule trans :premises (@p38 @p33)) % 0.62/0.81 (step @p40 :rule refl :args (@t4)) % 0.62/0.81 (step @p41 :rule refl :args (@t27)) % 0.62/0.81 (step @p42 :rule refl :args (@t6)) % 0.62/0.81 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t6 @t27))) % 0.62/0.81 (step @p44 :rule symm :premises (@p43)) % 0.62/0.81 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.62/0.81 (step @p46 :rule cong :premises (@p45) :args (@t31)) % 0.62/0.81 (step @p47 :rule cong :premises (@p46) :args (@t32)) % 0.62/0.81 (step @p48 :rule cong :premises (@p47) :args (@t33)) % 0.62/0.81 (step @p49 :rule exists-elim :args ((= @t8 @t33))) % 0.62/0.81 (step @p50 :rule trans :premises (@p49 @p48)) % 0.62/0.81 (step @p51 :rule cong :premises (@p50 @p40) :args (@t9)) % 0.62/0.81 (step @p52 :rule cong :premises (@p51) :args (@t11)) % 0.62/0.81 (step @p53 :rule trans :premises (@p52 @p39)) % 0.62/0.81 (step @p54 :rule cong :premises (@p53) :args (@t13)) % 0.62/0.81 (step @p55 :rule trans :premises (@p54 @p4)) % 0.62/0.81 (step @p56 :rule cong :premises (@p55) :args (@t14)) % 0.62/0.81 (step @p57 :rule trans :premises (@p56 @p3)) % 0.62/0.81 (step @p58 :rule eq_resolve :premises (@p1 @p57)) % 0.62/0.81 (step @p59 :rule beta-reduce :args ((= @t40 @t35))) % 0.62/0.81 (step @p60 :rule cong :premises (@p59) :args (@t41)) % 0.62/0.81 (step @p61 :rule refl :args (@t18)) % 0.62/0.81 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t42)) % 0.62/0.81 (step @p63 :rule cong :premises (@p62) :args (@t43)) % 0.62/0.81 (step @p64 :rule cong :premises (@p63) :args (@t44)) % 0.62/0.81 (step @p65 :rule refl :args (@t22)) % 0.62/0.81 (step @p66 :rule cong :premises (@p65 @p64) :args ((=> @t22 @t44))) % 0.62/0.81 (assume-push @p96 @t22) % 0.62/0.81 (step @p68 :rule instantiate :premises (@p58) :args ((@list @t39))) % 0.62/0.81 (step-pop @p97 :rule scope :premises (@p68)) % 0.62/0.81 (step @p69 :rule process_scope :premises (@p97) :args (@t44)) % 0.62/0.81 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 0.62/0.81 (step @p72 :rule implies_elim :premises (@p71)) % 0.62/0.81 (step @p73 :rule chain_m_resolution :premises (@p72 @p58) :args ((not @t45) (@list false) (@list @t22))) % 0.62/0.81 (step @p74 :rule skolemize :premises (@p73)) % 0.62/0.81 (step @p75 :rule bool-double-not-elim :args (@t48)) % 0.62/0.81 (step @p76 :rule refl :args (@t51)) % 0.62/0.81 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t51 (not @t50)))) % 0.62/0.81 (step @p78 :rule cnf_or_neg :args (@t51 0)) % 0.62/0.81 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.62/0.81 (step @p80 :rule reordering :premises (@p79) :args ((or @t48 @t51))) % 0.62/0.81 (step @p81 :rule chain_m_resolution :premises (@p80 @p74) :args (@t48 @t52 @t53)) % 0.62/0.81 ; WARNING: add trust step for TRUST % 0.62/0.81 ; trust TRUST THEORY_LEMMA % 0.62/0.81 (step @p82 :rule trust :premises () :args ((forall @t38 (or (forall @t55 (not (_ @t36 @t54))) (_ @t36 @t37))))) % 0.62/0.81 (step @p83 :rule instantiate :premises (@p82) :args ((@list @t47))) % 0.62/0.81 (step @p84 :rule cnf_or_neg :args (@t51 1)) % 0.62/0.81 (step @p85 :rule chain_m_resolution :premises (@p84 @p74) :args ((not @t49) @t52 @t53)) % 0.62/0.81 (step @p86 :rule cnf_or_pos :args (@t57)) % 0.62/0.81 (step @p87 :rule reordering :premises (@p86) :args ((or @t49 @t56 (not @t57)))) % 0.62/0.81 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p83) :args (@t56 (@list true false) (@list @t49 @t57))) % 0.62/0.81 (assume-push @p98 @t56) % 0.62/0.81 (step @p90 :rule instantiate :premises (@p88) :args ((@list @t46))) % 0.62/0.81 (step-pop @p99 :rule scope :premises (@p90)) % 0.62/0.81 (step @p91 :rule process_scope :premises (@p99) :args (@t50)) % 0.62/0.81 (step @p93 :rule implies_elim :premises (@p91)) % 0.62/0.81 (step @p94 :rule reordering :premises (@p93) :args ((or @t50 (not @t56)))) % 0.62/0.81 (step @p95 false :rule chain_m_resolution :premises (@p94 @p88 @p81) :args (false (@list false false) (@list @t56 @t48))) % 0.62/0.81 ) % 0.62/0.81 % SZS output end Proof % 0.62/0.81 % cvc5 exiting %------------------------------------------------------------------------------