%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO084^5 : 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 : n018.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 09:12:00 AM UTC 2026 % Result : Theorem 0.52s 0.71s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO084^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.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 23:58:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.52/0.71 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.52/0.71 % SZS status Theorem % 0.52/0.71 % SZS output start Proof % 0.52/0.71 ( % 0.52/0.71 (declare-sort $$unsorted 0) % 0.52/0.71 (declare-const tptp.a $$unsorted) % 0.52/0.71 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.k (-> $$unsorted $$unsorted)) % 0.52/0.71 (declare-const tptp.cP (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.71 (define @t1 () (@var "Xq" $$unsorted)) % 0.52/0.71 (define @t2 () (@var "Xj" $$unsorted)) % 0.52/0.71 (define @t3 () (@var "Xv" $$unsorted)) % 0.52/0.71 (define @t4 () (_ (_ tptp.cP @t3) @t2)) % 0.52/0.71 (define @t5 () (_ @t4 @t1)) % 0.52/0.71 (define @t6 () (_ tptp.k @t2)) % 0.52/0.71 (define @t7 () (_ @t4 @t6)) % 0.52/0.71 (define @t8 () (_ tptp.h @t2)) % 0.52/0.71 (define @t9 () (_ (_ tptp.cP tptp.a) @t2)) % 0.52/0.71 (define @t10 () (_ @t9 @t8)) % 0.52/0.71 (define @t11 () (or @t10 @t7)) % 0.52/0.71 (define @t12 () (=> @t11 @t5)) % 0.52/0.71 (define @t13 () (@list @t1)) % 0.52/0.71 (define @t14 () (exists @t13 @t12)) % 0.52/0.71 (define @t15 () (@list @t2)) % 0.52/0.71 (define @t16 () (forall @t15 @t14)) % 0.52/0.71 (define @t17 () (@list @t3)) % 0.52/0.71 (define @t18 () (exists @t17 @t16)) % 0.52/0.71 (define @t19 () (not @t18)) % 0.52/0.71 (define @t20 () (@var "BOUND_VARIABLE_7441" $$unsorted)) % 0.52/0.71 (define @t21 () (tptp.cP @t3 @t2 @t20)) % 0.52/0.71 (define @t22 () (@list @t20)) % 0.52/0.71 (define @t23 () (forall @t22 (not @t21))) % 0.52/0.71 (define @t24 () (not @t23)) % 0.52/0.71 (define @t25 () (tptp.k @t2)) % 0.52/0.71 (define @t26 () (tptp.cP @t3 @t2 @t25)) % 0.52/0.71 (define @t27 () (tptp.h @t2)) % 0.52/0.71 (define @t28 () (tptp.cP tptp.a @t2 @t27)) % 0.52/0.71 (define @t29 () (not @t28)) % 0.52/0.71 (define @t30 () (forall @t15 (or (and @t29 (not @t26)) @t24))) % 0.52/0.71 (define @t31 () (forall @t17 (not @t30))) % 0.52/0.71 (define @t32 () (not @t7)) % 0.52/0.71 (define @t33 () (not @t10)) % 0.52/0.71 (define @t34 () (and @t33 @t32)) % 0.52/0.71 (define @t35 () (or @t34 @t24)) % 0.52/0.71 (define @t36 () (_ @t4 @t20)) % 0.52/0.71 (define @t37 () (not @t36)) % 0.52/0.71 (define @t38 () (forall @t22 @t37)) % 0.52/0.71 (define @t39 () (not @t5)) % 0.52/0.71 (define @t40 () (forall @t13 @t39)) % 0.52/0.71 (define @t41 () (forall @t13 @t11)) % 0.52/0.71 (define @t42 () (and @t41 @t40)) % 0.52/0.71 (define @t43 () (forall @t13 (not @t12))) % 0.52/0.71 (define @t44 () (not @t43)) % 0.52/0.71 (define @t45 () (@quantifiers_skolemize (forall @t15 (or (and @t29 (not (tptp.cP tptp.a @t2 @t25))) (not (forall @t22 (not (tptp.cP tptp.a @t2 @t20)))))) 0)) % 0.52/0.71 (define @t46 () (forall @t22 (not (tptp.cP tptp.a @t45 @t20)))) % 0.52/0.71 (define @t47 () (not @t46)) % 0.52/0.71 (define @t48 () (tptp.k @t45)) % 0.52/0.71 (define @t49 () (tptp.cP tptp.a @t45 @t48)) % 0.52/0.71 (define @t50 () (not @t49)) % 0.52/0.71 (define @t51 () (tptp.h @t45)) % 0.52/0.71 (define @t52 () (tptp.cP tptp.a @t45 @t51)) % 0.52/0.71 (define @t53 () (not @t52)) % 0.52/0.71 (define @t54 () (and @t53 @t50)) % 0.52/0.71 (define @t55 () (or @t54 @t47)) % 0.52/0.71 (define @t56 () (@list true)) % 0.52/0.71 (define @t57 () (@list @t55)) % 0.52/0.71 (assume @p1 @t19) % 0.52/0.71 (assume @p2 true) % 0.52/0.71 (step @p3 :rule bool-double-not-elim :args (@t31)) % 0.52/0.71 (step @p4 :rule exists-elim :args ((= (exists @t17 @t30) (not @t31)))) % 0.52/0.71 (step @p5 :rule refl :args (@t24)) % 0.52/0.71 (step @p6 :rule refl :args ((tptp.cP @t3 @t2 @t6))) % 0.52/0.71 (step @p7 :rule refl :args (@t25)) % 0.52/0.71 (step @p8 :rule refl :args (@t2)) % 0.52/0.71 (step @p9 :rule refl :args (@t3)) % 0.52/0.71 (step @p10 :rule cong :premises (@p9 @p8 @p7) :args (@t26)) % 0.52/0.71 (step @p11 :rule trans :premises (@p10 @p6)) % 0.52/0.71 (step @p12 :rule refl :args (@t4)) % 0.52/0.71 (step @p13 :rule ho_cong :premises (@p12 @p7)) % 0.52/0.71 (step @p14 :rule cong :premises (@p13 @p11) :args ((= (_ @t4 @t25) @t26))) % 0.52/0.71 (step @p15 :rule symm :premises (@p14)) % 0.52/0.71 (step @p16 :rule refl :args (@t7)) % 0.52/0.71 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.52/0.71 (step @p18 :rule refl :args (@t6)) % 0.52/0.71 (step @p19 :rule cong :premises (@p18 @p7) :args ((= @t6 @t25))) % 0.52/0.71 (step @p20 :rule symm :premises (@p19)) % 0.52/0.71 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.52/0.71 (step @p22 :rule ho_cong :premises (@p12 @p21)) % 0.52/0.71 (step @p23 :rule trans :premises (@p22 @p17)) % 0.52/0.71 (step @p24 :rule cong :premises (@p23) :args (@t32)) % 0.52/0.71 (step @p25 :rule refl :args ((tptp.cP tptp.a @t2 @t8))) % 0.52/0.71 (step @p26 :rule refl :args (@t27)) % 0.52/0.71 (step @p27 :rule refl :args (tptp.a)) % 0.52/0.71 (step @p28 :rule cong :premises (@p27 @p8 @p26) :args (@t28)) % 0.52/0.71 (step @p29 :rule trans :premises (@p28 @p25)) % 0.52/0.71 (step @p30 :rule refl :args (@t9)) % 0.52/0.71 (step @p31 :rule ho_cong :premises (@p30 @p26)) % 0.52/0.71 (step @p32 :rule cong :premises (@p31 @p29) :args ((= (_ @t9 @t27) @t28))) % 0.52/0.71 (step @p33 :rule symm :premises (@p32)) % 0.52/0.71 (step @p34 :rule refl :args (@t10)) % 0.52/0.71 (step @p35 :rule eq_resolve :premises (@p34 @p33)) % 0.52/0.71 (step @p36 :rule refl :args (@t8)) % 0.52/0.71 (step @p37 :rule cong :premises (@p36 @p26) :args ((= @t8 @t27))) % 0.52/0.71 (step @p38 :rule symm :premises (@p37)) % 0.52/0.71 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.52/0.71 (step @p40 :rule ho_cong :premises (@p30 @p39)) % 0.52/0.71 (step @p41 :rule trans :premises (@p40 @p35)) % 0.52/0.71 (step @p42 :rule cong :premises (@p41) :args (@t33)) % 0.52/0.71 (step @p43 :rule nary_cong :premises (@p42 @p24) :args (@t34)) % 0.52/0.71 (step @p44 :rule nary_cong :premises (@p43 @p5) :args (@t35)) % 0.52/0.71 (step @p45 :rule cong :premises (@p44) :args ((forall @t15 @t35))) % 0.52/0.71 (step @p46 :rule bool-or-de-morgan :args (@t10 @t7 false)) % 0.52/0.71 (step @p47 :rule nary_cong :premises (@p46 @p5) :args ((or (not @t11) @t24))) % 0.52/0.71 (step @p48 :rule bool-and-de-morgan :args (@t11 @t23 true)) % 0.52/0.71 (step @p49 :rule trans :premises (@p48 @p47)) % 0.52/0.71 (step @p50 :rule cong :premises (@p49) :args ((forall @t15 (not (and @t11 @t23))))) % 0.52/0.71 (step @p51 :rule trans :premises (@p50 @p45)) % 0.52/0.71 (step @p52 :rule refl :args (@t21)) % 0.52/0.71 (step @p53 :rule refl :args (@t36)) % 0.52/0.71 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t36 @t21))) % 0.52/0.71 (step @p55 :rule symm :premises (@p54)) % 0.52/0.71 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.52/0.71 (step @p57 :rule cong :premises (@p56) :args (@t37)) % 0.52/0.71 (step @p58 :rule cong :premises (@p57) :args (@t38)) % 0.52/0.71 (step @p59 :rule refl :args (@t11)) % 0.52/0.71 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((and @t11 @t38))) % 0.52/0.71 (step @p61 :rule alpha_equiv :args (@t40 (@list @t1) (@list @t20))) % 0.52/0.71 (step @p62 :rule quant-unused-vars :args ((= @t41 @t11))) % 0.52/0.71 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t42)) % 0.52/0.71 (step @p64 :rule quant-miniscope-and :args ((= (forall @t13 (and @t11 @t39)) @t42))) % 0.52/0.71 (step @p65 :rule trans :premises (@p64 @p63)) % 0.52/0.71 (step @p66 :rule trans :premises (@p65 @p60)) % 0.52/0.71 (step @p67 :rule bool-implies-de-morgan :args (@t11 @t5)) % 0.52/0.71 (step @p68 :rule cong :premises (@p67) :args (@t43)) % 0.52/0.71 (step @p69 :rule trans :premises (@p68 @p66)) % 0.52/0.71 (step @p70 :rule cong :premises (@p69) :args (@t44)) % 0.52/0.71 (step @p71 :rule exists-elim :args ((= @t14 @t44))) % 0.52/0.71 (step @p72 :rule trans :premises (@p71 @p70)) % 0.52/0.71 (step @p73 :rule cong :premises (@p72) :args (@t16)) % 0.52/0.71 (step @p74 :rule trans :premises (@p73 @p51)) % 0.52/0.71 (step @p75 :rule cong :premises (@p74) :args (@t18)) % 0.52/0.71 (step @p76 :rule trans :premises (@p75 @p4)) % 0.52/0.71 (step @p77 :rule cong :premises (@p76) :args (@t19)) % 0.52/0.71 (step @p78 :rule trans :premises (@p77 @p3)) % 0.52/0.71 (step @p79 :rule eq_resolve :premises (@p1 @p78)) % 0.52/0.71 (step @p80 :rule instantiate :premises (@p79) :args ((@list tptp.a))) % 0.52/0.71 (step @p81 :rule skolemize :premises (@p80)) % 0.52/0.71 (step @p82 :rule bool-double-not-elim :args (@t46)) % 0.52/0.71 (step @p83 :rule refl :args (@t55)) % 0.52/0.71 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t55 (not @t47)))) % 0.52/0.71 (step @p85 :rule cnf_or_neg :args (@t55 1)) % 0.52/0.71 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.52/0.71 (step @p87 :rule reordering :premises (@p86) :args ((or @t46 @t55))) % 0.52/0.71 (step @p88 :rule chain_m_resolution :premises (@p87 @p81) :args (@t46 @t56 @t57)) % 0.52/0.71 (step @p89 :rule cnf_or_neg :args (@t55 0)) % 0.52/0.71 (step @p90 :rule chain_m_resolution :premises (@p89 @p81) :args ((not @t54) @t56 @t57)) % 0.52/0.71 (step @p91 :rule instantiate :premises (@p88) :args ((@list @t51))) % 0.52/0.71 (step @p92 :rule bool-double-not-elim :args (@t49)) % 0.52/0.71 (step @p93 :rule bool-double-not-elim :args (@t52)) % 0.52/0.71 (step @p94 :rule refl :args (@t54)) % 0.52/0.71 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92) :args ((or @t54 (not @t53) (not @t50)))) % 0.52/0.71 (step @p96 :rule cnf_and_neg :args (@t54)) % 0.52/0.71 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 0.52/0.71 (step @p98 :rule reordering :premises (@p97) :args ((or @t52 @t49 @t54))) % 0.52/0.71 (step @p99 :rule chain_m_resolution :premises (@p98 @p91 @p90) :args (@t49 (@list true true) (@list @t52 @t54))) % 0.52/0.71 (assume-push @p107 @t46) % 0.52/0.71 (step @p101 :rule instantiate :premises (@p88) :args ((@list @t48))) % 0.52/0.71 (step-pop @p108 :rule scope :premises (@p101)) % 0.52/0.71 (step @p102 :rule process_scope :premises (@p108) :args (@t50)) % 0.52/0.71 (step @p104 :rule implies_elim :premises (@p102)) % 0.52/0.71 (step @p105 :rule reordering :premises (@p104) :args ((or @t50 @t47))) % 0.52/0.71 (step @p106 false :rule chain_m_resolution :premises (@p105 @p99 @p88) :args (false (@list false false) (@list @t49 @t46))) % 0.52/0.71 ) % 0.52/0.71 % SZS output end Proof % 0.52/0.71 % cvc5 exiting %------------------------------------------------------------------------------