%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU796^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:53:14 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU796^2 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.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 17:52:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.39/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.image1Equiv Bool) % 0.39/0.56 (declare-const tptp.image1 (-> $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) % 0.39/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (define @t1 () (@var "Xy" $$unsorted)) % 0.39/0.56 (define @t2 () (@var "Xf" (-> $$unsorted $$unsorted))) % 0.39/0.56 (define @t3 () (_ @t2 @t1)) % 0.39/0.56 (define @t4 () (@var "Xx" $$unsorted)) % 0.39/0.56 (define @t5 () (= @t4 @t3)) % 0.39/0.56 (define @t6 () (@var "A" $$unsorted)) % 0.39/0.56 (define @t7 () (_ (_ tptp.in @t1) @t6)) % 0.39/0.56 (define @t8 () (and @t7 @t5)) % 0.39/0.56 (define @t9 () (@list @t1)) % 0.39/0.56 (define @t10 () (exists @t9 @t8)) % 0.39/0.56 (define @t11 () (lambda @t9 @t3)) % 0.39/0.56 (define @t12 () (_ tptp.image1 @t6)) % 0.39/0.56 (define @t13 () (_ @t12 @t11)) % 0.39/0.56 (define @t14 () (_ tptp.in @t4)) % 0.39/0.56 (define @t15 () (_ @t14 @t13)) % 0.39/0.56 (define @t16 () (= @t15 @t10)) % 0.39/0.56 (define @t17 () (@list @t6 @t2 @t4)) % 0.39/0.56 (define @t18 () (forall @t17 @t16)) % 0.39/0.56 (define @t19 () (= tptp.image1Equiv @t18)) % 0.39/0.56 (define @t20 () (=> @t15 @t10)) % 0.39/0.56 (define @t21 () (forall @t17 @t20)) % 0.39/0.56 (define @t22 () (=> tptp.image1Equiv @t21)) % 0.39/0.56 (define @t23 () (not @t22)) % 0.39/0.56 (define @t24 () (_ @t2 @t1)) % 0.39/0.56 (define @t25 () (tptp.in @t1 @t6)) % 0.39/0.56 (define @t26 () (not (forall @t9 (or (not @t25) (not (= @t4 @t24)))))) % 0.39/0.56 (define @t27 () (tptp.in @t4 (tptp.image1 @t6 @t2))) % 0.39/0.56 (define @t28 () (forall @t17 (or (not @t27) @t26))) % 0.39/0.56 (define @t29 () (lambda @t9 @t24)) % 0.39/0.56 (define @t30 () (tptp.image1 @t6 @t29)) % 0.39/0.56 (define @t31 () (tptp.in @t4 @t30)) % 0.39/0.56 (define @t32 () (= @t15 @t26)) % 0.39/0.56 (define @t33 () (not @t5)) % 0.39/0.56 (define @t34 () (not @t7)) % 0.39/0.56 (define @t35 () (or @t34 @t33)) % 0.39/0.56 (define @t36 () (forall @t9 (not @t8))) % 0.39/0.56 (define @t37 () (not @t36)) % 0.39/0.56 (define @t38 () (=> tptp.image1Equiv @t28)) % 0.39/0.56 (define @t39 () (not @t31)) % 0.39/0.56 (define @t40 () (or @t39 @t26)) % 0.39/0.56 (define @t41 () (not @t15)) % 0.39/0.56 (define @t42 () (or @t41 @t26)) % 0.39/0.56 (define @t43 () (@quantifiers_skolemize @t28 1)) % 0.39/0.56 (define @t44 () (@quantifiers_skolemize @t28 2)) % 0.39/0.56 (define @t45 () (@quantifiers_skolemize @t28 0)) % 0.39/0.56 (define @t46 () (forall @t9 (or (not (tptp.in @t1 @t45)) (not (= @t44 (_ @t43 @t1)))))) % 0.39/0.56 (define @t47 () (not @t46)) % 0.39/0.56 (define @t48 () (tptp.in @t44 (tptp.image1 @t45 @t43))) % 0.39/0.56 (define @t49 () (not @t48)) % 0.39/0.56 (define @t50 () (or @t49 @t47)) % 0.39/0.56 (define @t51 () (@list true)) % 0.39/0.56 (define @t52 () (@list @t50)) % 0.39/0.56 (define @t53 () (= @t48 @t47)) % 0.39/0.56 (define @t54 () (not @t53)) % 0.39/0.56 (define @t55 () (forall @t17 (= @t26 @t27))) % 0.39/0.56 (define @t56 () (= @t47 @t48)) % 0.39/0.56 (assume @p1 @t19) % 0.39/0.56 (assume @p2 @t23) % 0.39/0.56 (assume @p3 true) % 0.39/0.56 (step @p4 :rule refl :args (@t28)) % 0.39/0.56 (step @p5 :rule lambda-elim :args ((= @t29 @t2))) % 0.39/0.56 (step @p6 :rule refl :args (@t6)) % 0.39/0.56 (step @p7 :rule cong :premises (@p6 @p5) :args (@t30)) % 0.39/0.56 (step @p8 :rule refl :args (@t4)) % 0.39/0.56 (step @p9 :rule cong :premises (@p8 @p7) :args (@t31)) % 0.39/0.56 (step @p10 :rule refl :args (@t26)) % 0.39/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t26 @t31))) % 0.39/0.56 (step @p12 :rule eq-symm :args (@t31 @t26)) % 0.39/0.56 (step @p13 :rule trans :premises (@p12 @p11)) % 0.39/0.56 (step @p14 :rule cong :premises (@p13) :args ((forall @t17 (= @t31 @t26)))) % 0.39/0.56 (step @p15 :rule refl :args (@t26)) % 0.39/0.56 (step @p16 :rule refl :args ((tptp.in @t4 @t13))) % 0.39/0.56 (step @p17 :rule refl :args ((tptp.image1 @t6 @t11))) % 0.39/0.56 (step @p18 :rule refl :args (@t24)) % 0.39/0.56 (step @p19 :rule cong :premises (@p18) :args (@t29)) % 0.39/0.56 (step @p20 :rule refl :args (@t6)) % 0.39/0.56 (step @p21 :rule cong :premises (@p20 @p19) :args (@t30)) % 0.39/0.56 (step @p22 :rule trans :premises (@p21 @p17)) % 0.39/0.56 (step @p23 :rule refl :args (@t4)) % 0.39/0.56 (step @p24 :rule cong :premises (@p23 @p22) :args (@t31)) % 0.39/0.56 (step @p25 :rule trans :premises (@p24 @p16)) % 0.39/0.56 (step @p26 :rule refl :args (@t14)) % 0.39/0.56 (step @p27 :rule ho_cong :premises (@p26 @p22)) % 0.39/0.56 (step @p28 :rule cong :premises (@p27 @p25) :args ((= (_ @t14 @t30) @t31))) % 0.39/0.56 (step @p29 :rule symm :premises (@p28)) % 0.39/0.56 (step @p30 :rule refl :args (@t15)) % 0.39/0.56 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 0.39/0.56 (step @p32 :rule refl :args (@t12)) % 0.39/0.56 (step @p33 :rule ho_cong :premises (@p32 @p19)) % 0.39/0.56 (step @p34 :rule cong :premises (@p33 @p22) :args ((= (_ @t12 @t29) @t30))) % 0.39/0.56 (step @p35 :rule symm :premises (@p34)) % 0.39/0.56 (step @p36 :rule refl :args (@t13)) % 0.39/0.56 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.39/0.56 (step @p38 :rule refl :args (@t3)) % 0.39/0.56 (step @p39 :rule cong :premises (@p38 @p18) :args ((= @t3 @t24))) % 0.39/0.56 (step @p40 :rule symm :premises (@p39)) % 0.39/0.56 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.39/0.56 (step @p42 :rule cong :premises (@p41) :args (@t11)) % 0.39/0.56 (step @p43 :rule ho_cong :premises (@p32 @p42)) % 0.39/0.56 (step @p44 :rule trans :premises (@p43 @p37)) % 0.39/0.56 (step @p45 :rule ho_cong :premises (@p26 @p44)) % 0.39/0.56 (step @p46 :rule trans :premises (@p45 @p31)) % 0.39/0.56 (step @p47 :rule cong :premises (@p46 @p15) :args (@t32)) % 0.39/0.56 (step @p48 :rule cong :premises (@p47) :args ((forall @t17 @t32))) % 0.39/0.56 (step @p49 :rule trans :premises (@p48 @p14)) % 0.39/0.56 (step @p50 :rule cong :premises (@p23 @p41) :args (@t5)) % 0.39/0.56 (step @p51 :rule cong :premises (@p50) :args (@t33)) % 0.39/0.56 (step @p52 :rule refl :args (@t25)) % 0.39/0.56 (step @p53 :rule refl :args (@t7)) % 0.39/0.56 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t7 @t25))) % 0.39/0.56 (step @p55 :rule symm :premises (@p54)) % 0.39/0.56 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.39/0.56 (step @p57 :rule cong :premises (@p56) :args (@t34)) % 0.39/0.56 (step @p58 :rule nary_cong :premises (@p57 @p51) :args (@t35)) % 0.39/0.56 (step @p59 :rule cong :premises (@p58) :args ((forall @t9 @t35))) % 0.39/0.56 (step @p60 :rule bool-and-de-morgan :args (@t7 @t5 true)) % 0.39/0.56 (step @p61 :rule cong :premises (@p60) :args (@t36)) % 0.39/0.56 (step @p62 :rule trans :premises (@p61 @p59)) % 0.39/0.56 (step @p63 :rule cong :premises (@p62) :args (@t37)) % 0.39/0.56 (step @p64 :rule exists-elim :args ((= @t10 @t37))) % 0.39/0.56 (step @p65 :rule trans :premises (@p64 @p63)) % 0.39/0.56 (step @p66 :rule refl :args (@t15)) % 0.39/0.56 (step @p67 :rule cong :premises (@p66 @p65) :args (@t16)) % 0.39/0.56 (step @p68 :rule cong :premises (@p67) :args (@t18)) % 0.39/0.56 (step @p69 :rule trans :premises (@p68 @p49)) % 0.39/0.56 (step @p70 :rule refl :args (tptp.image1Equiv)) % 0.39/0.56 (step @p71 :rule cong :premises (@p70 @p69) :args (@t19)) % 0.39/0.56 (step @p72 :rule eq_resolve :premises (@p1 @p71)) % 0.39/0.56 (step @p73 :rule cong :premises (@p72 @p4) :args (@t38)) % 0.39/0.56 (step @p74 :rule cong :premises (@p73) :args ((not @t38))) % 0.39/0.56 (step @p75 :rule cong :premises (@p9) :args (@t39)) % 0.39/0.56 (step @p76 :rule nary_cong :premises (@p75 @p10) :args (@t40)) % 0.39/0.56 (step @p77 :rule cong :premises (@p76) :args ((forall @t17 @t40))) % 0.39/0.56 (step @p78 :rule cong :premises (@p46) :args (@t41)) % 0.39/0.56 (step @p79 :rule nary_cong :premises (@p78 @p15) :args (@t42)) % 0.39/0.56 (step @p80 :rule cong :premises (@p79) :args ((forall @t17 @t42))) % 0.39/0.56 (step @p81 :rule trans :premises (@p80 @p77)) % 0.39/0.56 (step @p82 :rule bool-impl-elim :args (@t15 @t26)) % 0.39/0.56 (step @p83 :rule cong :premises (@p82) :args ((forall @t17 (=> @t15 @t26)))) % 0.39/0.56 (step @p84 :rule trans :premises (@p83 @p81)) % 0.39/0.56 (step @p85 :rule cong :premises (@p66 @p65) :args (@t20)) % 0.39/0.56 (step @p86 :rule cong :premises (@p85) :args (@t21)) % 0.39/0.56 (step @p87 :rule trans :premises (@p86 @p84)) % 0.39/0.56 (step @p88 :rule cong :premises (@p70 @p87) :args (@t22)) % 0.39/0.56 (step @p89 :rule cong :premises (@p88) :args (@t23)) % 0.39/0.56 (step @p90 :rule trans :premises (@p89 @p74)) % 0.39/0.56 (step @p91 :rule eq_resolve :premises (@p2 @p90)) % 0.39/0.56 (step @p92 :rule not_implies_elim1 :premises (@p91)) % 0.39/0.56 (step @p93 :rule not_implies_elim2 :premises (@p91)) % 0.39/0.56 (step @p94 :rule skolemize :premises (@p93)) % 0.39/0.56 (step @p95 :rule bool-double-not-elim :args (@t46)) % 0.39/0.56 (step @p96 :rule refl :args (@t50)) % 0.39/0.56 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t50 (not @t47)))) % 0.39/0.56 (step @p98 :rule cnf_or_neg :args (@t50 1)) % 0.39/0.56 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 0.39/0.56 (step @p100 :rule reordering :premises (@p99) :args ((or @t46 @t50))) % 0.39/0.56 (step @p101 :rule chain_m_resolution :premises (@p100 @p94) :args (@t46 @t51 @t52)) % 0.39/0.56 (step @p102 :rule bool-double-not-elim :args (@t48)) % 0.39/0.56 (step @p103 :rule nary_cong :premises (@p96 @p102) :args ((or @t50 (not @t49)))) % 0.39/0.56 (step @p104 :rule cnf_or_neg :args (@t50 0)) % 0.39/0.56 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 0.39/0.56 (step @p106 :rule reordering :premises (@p105) :args ((or @t48 @t50))) % 0.39/0.56 (step @p107 :rule chain_m_resolution :premises (@p106 @p94) :args (@t48 @t51 @t52)) % 0.39/0.56 (step @p108 :rule cnf_equiv_pos1 :args (@t53)) % 0.39/0.56 (step @p109 :rule reordering :premises (@p108) :args ((or @t49 @t47 @t54))) % 0.39/0.56 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p101) :args (@t54 (@list false false) (@list @t48 @t46))) % 0.39/0.57 (step @p111 :rule eq-symm :args (@t47 @t48)) % 0.39/0.57 (step @p112 :rule refl :args (@t55)) % 0.39/0.57 (step @p113 :rule cong :premises (@p112 @p111) :args ((=> @t55 @t56))) % 0.39/0.57 (assume-push @p121 @t55) % 0.39/0.57 (step @p115 :rule instantiate :premises (@p92) :args ((@list @t45 @t43 @t44))) % 0.39/0.57 (step-pop @p122 :rule scope :premises (@p115)) % 0.39/0.57 (step @p116 :rule process_scope :premises (@p122) :args (@t56)) % 0.39/0.57 (step @p118 :rule eq_resolve :premises (@p116 @p113)) % 0.39/0.57 (step @p119 :rule implies_elim :premises (@p118)) % 0.39/0.57 (step @p120 false :rule chain_m_resolution :premises (@p119 @p110 @p92) :args (false (@list true false) (@list @t53 @t55))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------