%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT038^2 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:09:32 AM UTC 2026 % Result : Theorem 0.44s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CAT038^2 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 03:06:14 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.44/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.63 % SZS status Theorem % 0.44/0.63 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-sort $$unsorted 0) % 0.44/0.63 (define @t1 () (@var "X" $$unsorted)) % 0.44/0.63 (define @t2 () (@var "Y" $$unsorted)) % 0.44/0.63 (define @t3 () (@var "F" (-> $$unsorted $$unsorted))) % 0.44/0.63 (define @t4 () (_ @t3 @t2)) % 0.44/0.63 (define @t5 () (_ @t3 @t1)) % 0.44/0.63 (define @t6 () (and (= @t5 @t2) (= @t4 @t1))) % 0.44/0.63 (define @t7 () (@list @t3)) % 0.44/0.63 (define @t8 () (exists @t7 @t6)) % 0.44/0.63 (define @t9 () (@list @t1 @t2)) % 0.44/0.63 (define @t10 () (forall @t9 @t8)) % 0.44/0.63 (define @t11 () (not @t10)) % 0.44/0.63 (define @t12 () (_ @t3 @t2)) % 0.44/0.63 (define @t13 () (= @t1 @t4)) % 0.44/0.63 (define @t14 () (not @t13)) % 0.44/0.63 (define @t15 () (_ @t3 @t1)) % 0.44/0.63 (define @t16 () (= @t2 @t5)) % 0.44/0.63 (define @t17 () (not @t16)) % 0.44/0.63 (define @t18 () (or @t17 @t14)) % 0.44/0.63 (define @t19 () (and @t16 @t13)) % 0.44/0.63 (define @t20 () (forall @t7 (not @t19))) % 0.44/0.63 (define @t21 () (not @t20)) % 0.44/0.63 (define @t22 () (forall @t9 (not (forall @t7 (or (not (= @t2 @t15)) (not (= @t1 @t12))))))) % 0.44/0.63 (define @t23 () (@quantifiers_skolemize @t22 1)) % 0.44/0.63 (define @t24 () (@quantifiers_skolemize @t22 0)) % 0.44/0.63 (define @t25 () (forall @t7 (or (not (= @t23 (_ @t3 @t24))) (not (= @t24 (_ @t3 @t23)))))) % 0.44/0.63 (define @t26 () (not @t22)) % 0.44/0.63 (define @t27 () (not (not @t25))) % 0.44/0.63 (define @t28 () (= @t24 @t23)) % 0.44/0.63 (define @t29 () (not @t28)) % 0.44/0.63 (define @t30 () (@var "BOUND_VARIABLE_14520" $$unsorted)) % 0.44/0.63 (define @t31 () (@list @t30)) % 0.44/0.63 (define @t32 () (lambda @t31 @t30)) % 0.44/0.63 (define @t33 () (_ @t32 @t23)) % 0.44/0.63 (define @t34 () (= @t24 @t33)) % 0.44/0.63 (define @t35 () (not @t34)) % 0.44/0.63 (define @t36 () (_ @t32 @t24)) % 0.44/0.63 (define @t37 () (= @t23 @t36)) % 0.44/0.63 (define @t38 () (not @t37)) % 0.44/0.63 (define @t39 () (or @t38 @t35)) % 0.44/0.63 (define @t40 () (@list false)) % 0.44/0.63 (define @t41 () (@list @t25)) % 0.44/0.63 (define @t42 () (ite @t28 @t23 @t24)) % 0.44/0.63 (define @t43 () (@purify @t42)) % 0.44/0.63 (define @t44 () (= @t24 @t42)) % 0.44/0.63 (define @t45 () (not @t44)) % 0.44/0.63 (define @t46 () (ite (= @t23 @t24) @t23 @t24)) % 0.44/0.63 (define @t47 () (lambda @t31 (ite (= @t30 @t24) @t23 @t24))) % 0.44/0.63 (define @t48 () (_ @t47 @t23)) % 0.44/0.63 (define @t49 () (= @t24 @t48)) % 0.44/0.63 (define @t50 () (not @t49)) % 0.44/0.63 (define @t51 () (ite (= @t24 @t24) @t23 @t24)) % 0.44/0.63 (define @t52 () (_ @t47 @t24)) % 0.44/0.63 (define @t53 () (= @t23 @t52)) % 0.44/0.63 (define @t54 () (not @t53)) % 0.44/0.63 (define @t55 () (or @t54 @t50)) % 0.44/0.63 (define @t56 () (= @t24 @t43)) % 0.44/0.63 (define @t57 () (= @t42 @t24)) % 0.44/0.63 (define @t58 () (= @t42 @t23)) % 0.44/0.63 (assume @p1 @t11) % 0.44/0.63 (assume @p2 true) % 0.44/0.63 (step @p3 :rule refl :args (@t12)) % 0.44/0.63 (step @p4 :rule refl :args (@t4)) % 0.44/0.63 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t4 @t12))) % 0.44/0.63 (step @p6 :rule symm :premises (@p5)) % 0.44/0.63 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.44/0.63 (step @p8 :rule refl :args (@t1)) % 0.44/0.63 (step @p9 :rule cong :premises (@p8 @p7) :args (@t13)) % 0.44/0.63 (step @p10 :rule cong :premises (@p9) :args (@t14)) % 0.44/0.63 (step @p11 :rule refl :args (@t15)) % 0.44/0.63 (step @p12 :rule refl :args (@t5)) % 0.44/0.63 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t5 @t15))) % 0.44/0.63 (step @p14 :rule symm :premises (@p13)) % 0.44/0.63 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.44/0.63 (step @p16 :rule refl :args (@t2)) % 0.44/0.63 (step @p17 :rule cong :premises (@p16 @p15) :args (@t16)) % 0.44/0.63 (step @p18 :rule cong :premises (@p17) :args (@t17)) % 0.44/0.63 (step @p19 :rule nary_cong :premises (@p18 @p10) :args (@t18)) % 0.44/0.63 (step @p20 :rule cong :premises (@p19) :args ((forall @t7 @t18))) % 0.44/0.63 (step @p21 :rule bool-and-de-morgan :args (@t16 @t13 true)) % 0.44/0.63 (step @p22 :rule cong :premises (@p21) :args (@t20)) % 0.44/0.63 (step @p23 :rule trans :premises (@p22 @p20)) % 0.44/0.63 (step @p24 :rule cong :premises (@p23) :args (@t21)) % 0.44/0.63 (step @p25 :rule exists-elim :args ((= (exists @t7 @t19) @t21))) % 0.44/0.63 (step @p26 :rule trans :premises (@p25 @p24)) % 0.44/0.63 (step @p27 :rule eq-symm :args (@t4 @t1)) % 0.44/0.63 (step @p28 :rule eq-symm :args (@t5 @t2)) % 0.44/0.63 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t6)) % 0.44/0.63 (step @p30 :rule cong :premises (@p29) :args (@t8)) % 0.44/0.63 (step @p31 :rule trans :premises (@p30 @p26)) % 0.44/0.63 (step @p32 :rule cong :premises (@p31) :args (@t10)) % 0.44/0.63 (step @p33 :rule cong :premises (@p32) :args (@t11)) % 0.44/0.63 (step @p34 :rule eq_resolve :premises (@p1 @p33)) % 0.44/0.63 (step @p35 :rule refl :args (@t25)) % 0.44/0.63 (step @p36 :rule bool-double-not-elim :args (@t22)) % 0.44/0.63 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or (not @t26) @t25))) % 0.44/0.63 (step @p38 :rule bool-double-not-elim :args (@t25)) % 0.44/0.63 (step @p39 :rule refl :args (@t26)) % 0.44/0.63 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t26 @t27))) % 0.44/0.63 (assume-push @p120 @t26) % 0.44/0.63 (step @p42 :rule skolemize :premises (@p34)) % 0.44/0.63 (step-pop @p121 :rule scope :premises (@p42)) % 0.44/0.63 (step @p43 :rule process_scope :premises (@p121) :args (@t27)) % 0.44/0.63 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 0.44/0.63 (step @p46 :rule implies_elim :premises (@p45)) % 0.44/0.63 (step @p47 :rule eq_resolve :premises (@p46 @p37)) % 0.44/0.63 (step @p48 :rule chain_m_resolution :premises (@p47 @p34) :args (@t25 (@list true) (@list @t22))) % 0.44/0.63 (step @p49 :rule aci_norm :args ((= (or @t29 @t29) @t29))) % 0.44/0.63 (step @p50 :rule beta-reduce :args ((= @t33 @t23))) % 0.44/0.63 (step @p51 :rule refl :args (@t24)) % 0.44/0.63 (step @p52 :rule cong :premises (@p51 @p50) :args (@t34)) % 0.44/0.63 (step @p53 :rule cong :premises (@p52) :args (@t35)) % 0.44/0.63 (step @p54 :rule eq-symm :args (@t23 @t24)) % 0.44/0.63 (step @p55 :rule beta-reduce :args ((= @t36 @t24))) % 0.44/0.63 (step @p56 :rule refl :args (@t23)) % 0.44/0.63 (step @p57 :rule cong :premises (@p56 @p55) :args (@t37)) % 0.44/0.63 (step @p58 :rule trans :premises (@p57 @p54)) % 0.44/0.63 (step @p59 :rule cong :premises (@p58) :args (@t38)) % 0.44/0.63 (step @p60 :rule nary_cong :premises (@p59 @p53) :args (@t39)) % 0.44/0.63 (step @p61 :rule trans :premises (@p60 @p49)) % 0.44/0.63 (step @p62 :rule cong :premises (@p35 @p61) :args ((=> @t25 @t39))) % 0.44/0.63 (assume-push @p122 @t25) % 0.44/0.63 (step @p64 :rule instantiate :premises (@p48) :args ((@list @t32))) % 0.44/0.63 (step-pop @p123 :rule scope :premises (@p64)) % 0.44/0.63 (step @p65 :rule process_scope :premises (@p123) :args (@t39)) % 0.44/0.63 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 0.44/0.63 (step @p68 :rule implies_elim :premises (@p67)) % 0.44/0.63 (step @p69 :rule chain_m_resolution :premises (@p68 @p48) :args (@t29 @t40 @t41)) % 0.44/0.63 (step @p70 :rule eq-refl :args (@t42)) % 0.44/0.63 (step @p71 :rule skolem_intro :args (@t43)) % 0.44/0.63 (step @p72 :rule refl :args (@t42)) % 0.44/0.63 (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t42 @t43))) % 0.44/0.63 (step @p74 :rule trans :premises (@p73 @p70)) % 0.44/0.63 (step @p75 :rule true_elim :premises (@p74)) % 0.44/0.63 (step @p76 :rule cong :premises (@p51 @p75) :args (@t44)) % 0.44/0.63 (step @p77 :rule cong :premises (@p76) :args (@t45)) % 0.44/0.63 (step @p78 :rule cong :premises (@p35 @p77) :args ((=> @t25 @t45))) % 0.44/0.63 (step @p79 :rule aci_norm :args ((= (or false @t45) @t45))) % 0.44/0.63 (step @p80 :rule cong :premises (@p54 @p56 @p51) :args (@t46)) % 0.44/0.63 (step @p81 :rule beta-reduce :args ((= @t48 @t46))) % 0.44/0.63 (step @p82 :rule trans :premises (@p81 @p80)) % 0.44/0.63 (step @p83 :rule cong :premises (@p51 @p82) :args (@t49)) % 0.44/0.63 (step @p84 :rule cong :premises (@p83) :args (@t50)) % 0.44/0.63 (step @p85 :rule evaluate :args ((not true))) % 0.44/0.63 (step @p86 :rule eq-refl :args (@t23)) % 0.44/0.63 (step @p87 :rule ite-true-cond :args (@t23 @t24)) % 0.44/0.63 (step @p88 :rule eq-refl :args (@t24)) % 0.44/0.63 (step @p89 :rule cong :premises (@p88 @p56 @p51) :args (@t51)) % 0.44/0.63 (step @p90 :rule trans :premises (@p89 @p87)) % 0.44/0.63 (step @p91 :rule beta-reduce :args ((= @t52 @t51))) % 0.44/0.63 (step @p92 :rule trans :premises (@p91 @p90)) % 0.44/0.63 (step @p93 :rule cong :premises (@p56 @p92) :args (@t53)) % 0.44/0.63 (step @p94 :rule trans :premises (@p93 @p86)) % 0.44/0.63 (step @p95 :rule cong :premises (@p94) :args (@t54)) % 0.44/0.63 (step @p96 :rule trans :premises (@p95 @p85)) % 0.44/0.63 (step @p97 :rule nary_cong :premises (@p96 @p84) :args (@t55)) % 0.44/0.63 (step @p98 :rule trans :premises (@p97 @p79)) % 0.44/0.63 (step @p99 :rule cong :premises (@p35 @p98) :args ((=> @t25 @t55))) % 0.44/0.63 (assume-push @p124 @t25) % 0.44/0.63 (step @p101 :rule instantiate :premises (@p48) :args ((@list @t47))) % 0.44/0.63 (step-pop @p125 :rule scope :premises (@p101)) % 0.44/0.63 (step @p102 :rule process_scope :premises (@p125) :args (@t55)) % 0.44/0.63 (step @p104 :rule eq_resolve :premises (@p102 @p99)) % 0.44/0.63 (step @p105 :rule eq_resolve :premises (@p104 @p78)) % 0.44/0.63 (step @p106 :rule implies_elim :premises (@p105)) % 0.44/0.63 (step @p107 :rule chain_m_resolution :premises (@p106 @p48) :args ((not @t56) @t40 @t41)) % 0.44/0.63 (step @p108 :rule eq-symm :args (@t43 @t24)) % 0.44/0.63 (step @p109 :rule eq-symm :args (@t43 @t23)) % 0.44/0.63 (step @p110 :rule refl :args (@t28)) % 0.44/0.63 (step @p111 :rule cong :premises (@p110 @p109 @p108) :args ((ite @t28 (= @t43 @t23) (= @t43 @t24)))) % 0.44/0.63 (step @p112 :rule cong :premises (@p75 @p51) :args (@t57)) % 0.44/0.63 (step @p113 :rule cong :premises (@p75 @p56) :args (@t58)) % 0.44/0.63 (step @p114 :rule cong :premises (@p110 @p113 @p112) :args ((ite @t28 @t58 @t57))) % 0.44/0.63 (step @p115 :rule ite_eq :args (@t42)) % 0.44/0.63 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.44/0.63 (step @p117 :rule eq_resolve :premises (@p116 @p111)) % 0.44/0.63 (step @p118 :rule ite_elim2 :premises (@p117)) % 0.44/0.63 (step @p119 false :rule chain_m_resolution :premises (@p118 @p107 @p69) :args (false (@list true true) (@list @t56 @t28))) % 0.44/0.63 ) % 0.44/0.63 % SZS output end Proof % 0.44/0.63 % cvc5 exiting %------------------------------------------------------------------------------