%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT038^1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CAT038^1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.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 : Wed Jun 3 03:06:15 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.37/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.b $$unsorted) % 0.37/0.62 (declare-const tptp.a $$unsorted) % 0.37/0.62 (define @t1 () (@var "F" (-> $$unsorted $$unsorted))) % 0.37/0.62 (define @t2 () (_ @t1 tptp.b)) % 0.37/0.62 (define @t3 () (_ @t1 tptp.a)) % 0.37/0.62 (define @t4 () (and (= @t3 tptp.b) (= @t2 tptp.a))) % 0.37/0.62 (define @t5 () (@list @t1)) % 0.37/0.62 (define @t6 () (exists @t5 @t4)) % 0.37/0.62 (define @t7 () (not @t6)) % 0.37/0.62 (define @t8 () (_ @t1 tptp.b)) % 0.37/0.62 (define @t9 () (_ @t1 tptp.a)) % 0.37/0.62 (define @t10 () (forall @t5 (or (not (= tptp.b @t9)) (not (= tptp.a @t8))))) % 0.37/0.62 (define @t11 () (= tptp.a @t2)) % 0.37/0.62 (define @t12 () (not @t11)) % 0.37/0.62 (define @t13 () (= tptp.b @t3)) % 0.37/0.62 (define @t14 () (not @t13)) % 0.37/0.62 (define @t15 () (or @t14 @t12)) % 0.37/0.62 (define @t16 () (and @t13 @t11)) % 0.37/0.62 (define @t17 () (forall @t5 (not @t16))) % 0.37/0.62 (define @t18 () (not @t17)) % 0.37/0.62 (define @t19 () (= tptp.a tptp.b)) % 0.37/0.62 (define @t20 () (not @t19)) % 0.37/0.62 (define @t21 () (@var "BOUND_VARIABLE_14476" $$unsorted)) % 0.37/0.62 (define @t22 () (@list @t21)) % 0.37/0.62 (define @t23 () (lambda @t22 @t21)) % 0.37/0.62 (define @t24 () (_ @t23 tptp.b)) % 0.37/0.62 (define @t25 () (= tptp.a @t24)) % 0.37/0.62 (define @t26 () (not @t25)) % 0.37/0.62 (define @t27 () (_ @t23 tptp.a)) % 0.37/0.62 (define @t28 () (= tptp.b @t27)) % 0.37/0.62 (define @t29 () (not @t28)) % 0.37/0.62 (define @t30 () (or @t29 @t26)) % 0.37/0.62 (define @t31 () (@list false)) % 0.37/0.62 (define @t32 () (@list @t10)) % 0.37/0.62 (define @t33 () (ite @t19 tptp.b tptp.a)) % 0.37/0.62 (define @t34 () (@purify @t33)) % 0.37/0.62 (define @t35 () (= tptp.a @t33)) % 0.37/0.62 (define @t36 () (not @t35)) % 0.37/0.62 (define @t37 () (ite (= tptp.b tptp.a) tptp.b tptp.a)) % 0.37/0.62 (define @t38 () (lambda @t22 (ite (= @t21 tptp.a) tptp.b tptp.a))) % 0.37/0.62 (define @t39 () (_ @t38 tptp.b)) % 0.37/0.62 (define @t40 () (= tptp.a @t39)) % 0.37/0.62 (define @t41 () (not @t40)) % 0.37/0.62 (define @t42 () (ite (= tptp.a tptp.a) tptp.b tptp.a)) % 0.37/0.62 (define @t43 () (_ @t38 tptp.a)) % 0.37/0.62 (define @t44 () (= tptp.b @t43)) % 0.37/0.62 (define @t45 () (not @t44)) % 0.37/0.62 (define @t46 () (or @t45 @t41)) % 0.37/0.62 (define @t47 () (= tptp.a @t34)) % 0.37/0.62 (define @t48 () (= @t33 tptp.a)) % 0.37/0.62 (define @t49 () (= @t33 tptp.b)) % 0.37/0.62 (assume @p1 @t7) % 0.37/0.62 (assume @p2 true) % 0.37/0.62 (step @p3 :rule bool-double-not-elim :args (@t10)) % 0.37/0.62 (step @p4 :rule refl :args (@t8)) % 0.37/0.62 (step @p5 :rule refl :args (@t2)) % 0.37/0.62 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t2 @t8))) % 0.37/0.62 (step @p7 :rule symm :premises (@p6)) % 0.37/0.62 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.37/0.62 (step @p9 :rule refl :args (tptp.a)) % 0.37/0.62 (step @p10 :rule cong :premises (@p9 @p8) :args (@t11)) % 0.37/0.62 (step @p11 :rule cong :premises (@p10) :args (@t12)) % 0.37/0.62 (step @p12 :rule refl :args (@t9)) % 0.37/0.62 (step @p13 :rule refl :args (@t3)) % 0.37/0.62 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t3 @t9))) % 0.37/0.62 (step @p15 :rule symm :premises (@p14)) % 0.37/0.62 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 0.37/0.62 (step @p17 :rule refl :args (tptp.b)) % 0.37/0.62 (step @p18 :rule cong :premises (@p17 @p16) :args (@t13)) % 0.37/0.62 (step @p19 :rule cong :premises (@p18) :args (@t14)) % 0.37/0.62 (step @p20 :rule nary_cong :premises (@p19 @p11) :args (@t15)) % 0.37/0.62 (step @p21 :rule cong :premises (@p20) :args ((forall @t5 @t15))) % 0.37/0.62 (step @p22 :rule bool-and-de-morgan :args (@t13 @t11 true)) % 0.37/0.62 (step @p23 :rule cong :premises (@p22) :args (@t17)) % 0.37/0.62 (step @p24 :rule trans :premises (@p23 @p21)) % 0.37/0.62 (step @p25 :rule cong :premises (@p24) :args (@t18)) % 0.37/0.62 (step @p26 :rule exists-elim :args ((= (exists @t5 @t16) @t18))) % 0.37/0.62 (step @p27 :rule trans :premises (@p26 @p25)) % 0.37/0.62 (step @p28 :rule eq-symm :args (@t2 tptp.a)) % 0.37/0.62 (step @p29 :rule eq-symm :args (@t3 tptp.b)) % 0.37/0.62 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t4)) % 0.37/0.62 (step @p31 :rule cong :premises (@p30) :args (@t6)) % 0.37/0.62 (step @p32 :rule trans :premises (@p31 @p27)) % 0.37/0.62 (step @p33 :rule cong :premises (@p32) :args (@t7)) % 0.37/0.62 (step @p34 :rule trans :premises (@p33 @p3)) % 0.37/0.62 (step @p35 :rule eq_resolve :premises (@p1 @p34)) % 0.37/0.62 (step @p36 :rule aci_norm :args ((= (or @t20 @t20) @t20))) % 0.37/0.62 (step @p37 :rule beta-reduce :args ((= @t24 tptp.b))) % 0.37/0.62 (step @p38 :rule refl :args (tptp.a)) % 0.37/0.62 (step @p39 :rule cong :premises (@p38 @p37) :args (@t25)) % 0.37/0.62 (step @p40 :rule cong :premises (@p39) :args (@t26)) % 0.37/0.62 (step @p41 :rule eq-symm :args (tptp.b tptp.a)) % 0.37/0.62 (step @p42 :rule beta-reduce :args ((= @t27 tptp.a))) % 0.37/0.62 (step @p43 :rule refl :args (tptp.b)) % 0.37/0.62 (step @p44 :rule cong :premises (@p43 @p42) :args (@t28)) % 0.37/0.62 (step @p45 :rule trans :premises (@p44 @p41)) % 0.37/0.62 (step @p46 :rule cong :premises (@p45) :args (@t29)) % 0.37/0.62 (step @p47 :rule nary_cong :premises (@p46 @p40) :args (@t30)) % 0.37/0.62 (step @p48 :rule trans :premises (@p47 @p36)) % 0.37/0.62 (step @p49 :rule refl :args (@t10)) % 0.37/0.62 (step @p50 :rule cong :premises (@p49 @p48) :args ((=> @t10 @t30))) % 0.37/0.62 (assume-push @p108 @t10) % 0.37/0.62 (step @p52 :rule instantiate :premises (@p35) :args ((@list @t23))) % 0.37/0.62 (step-pop @p109 :rule scope :premises (@p52)) % 0.37/0.62 (step @p53 :rule process_scope :premises (@p109) :args (@t30)) % 0.37/0.62 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 0.37/0.62 (step @p56 :rule implies_elim :premises (@p55)) % 0.37/0.62 (step @p57 :rule chain_m_resolution :premises (@p56 @p35) :args (@t20 @t31 @t32)) % 0.37/0.62 (step @p58 :rule eq-refl :args (@t33)) % 0.37/0.62 (step @p59 :rule skolem_intro :args (@t34)) % 0.37/0.62 (step @p60 :rule refl :args (@t33)) % 0.37/0.62 (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t33 @t34))) % 0.37/0.62 (step @p62 :rule trans :premises (@p61 @p58)) % 0.37/0.62 (step @p63 :rule true_elim :premises (@p62)) % 0.37/0.62 (step @p64 :rule cong :premises (@p38 @p63) :args (@t35)) % 0.37/0.62 (step @p65 :rule cong :premises (@p64) :args (@t36)) % 0.37/0.62 (step @p66 :rule cong :premises (@p49 @p65) :args ((=> @t10 @t36))) % 0.37/0.62 (step @p67 :rule aci_norm :args ((= (or false @t36) @t36))) % 0.37/0.62 (step @p68 :rule cong :premises (@p41 @p43 @p38) :args (@t37)) % 0.37/0.62 (step @p69 :rule beta-reduce :args ((= @t39 @t37))) % 0.37/0.62 (step @p70 :rule trans :premises (@p69 @p68)) % 0.37/0.62 (step @p71 :rule cong :premises (@p38 @p70) :args (@t40)) % 0.37/0.62 (step @p72 :rule cong :premises (@p71) :args (@t41)) % 0.37/0.62 (step @p73 :rule evaluate :args ((not true))) % 0.37/0.62 (step @p74 :rule eq-refl :args (tptp.b)) % 0.37/0.62 (step @p75 :rule ite-true-cond :args (tptp.b tptp.a)) % 0.37/0.62 (step @p76 :rule eq-refl :args (tptp.a)) % 0.37/0.62 (step @p77 :rule cong :premises (@p76 @p43 @p38) :args (@t42)) % 0.37/0.62 (step @p78 :rule trans :premises (@p77 @p75)) % 0.37/0.62 (step @p79 :rule beta-reduce :args ((= @t43 @t42))) % 0.37/0.62 (step @p80 :rule trans :premises (@p79 @p78)) % 0.37/0.62 (step @p81 :rule cong :premises (@p43 @p80) :args (@t44)) % 0.37/0.62 (step @p82 :rule trans :premises (@p81 @p74)) % 0.37/0.62 (step @p83 :rule cong :premises (@p82) :args (@t45)) % 0.37/0.62 (step @p84 :rule trans :premises (@p83 @p73)) % 0.37/0.62 (step @p85 :rule nary_cong :premises (@p84 @p72) :args (@t46)) % 0.37/0.62 (step @p86 :rule trans :premises (@p85 @p67)) % 0.37/0.62 (step @p87 :rule cong :premises (@p49 @p86) :args ((=> @t10 @t46))) % 0.37/0.62 (assume-push @p110 @t10) % 0.37/0.62 (step @p89 :rule instantiate :premises (@p35) :args ((@list @t38))) % 0.37/0.62 (step-pop @p111 :rule scope :premises (@p89)) % 0.37/0.62 (step @p90 :rule process_scope :premises (@p111) :args (@t46)) % 0.37/0.62 (step @p92 :rule eq_resolve :premises (@p90 @p87)) % 0.37/0.62 (step @p93 :rule eq_resolve :premises (@p92 @p66)) % 0.37/0.62 (step @p94 :rule implies_elim :premises (@p93)) % 0.37/0.62 (step @p95 :rule chain_m_resolution :premises (@p94 @p35) :args ((not @t47) @t31 @t32)) % 0.37/0.62 (step @p96 :rule eq-symm :args (@t34 tptp.a)) % 0.37/0.62 (step @p97 :rule eq-symm :args (@t34 tptp.b)) % 0.37/0.62 (step @p98 :rule refl :args (@t19)) % 0.37/0.62 (step @p99 :rule cong :premises (@p98 @p97 @p96) :args ((ite @t19 (= @t34 tptp.b) (= @t34 tptp.a)))) % 0.37/0.62 (step @p100 :rule cong :premises (@p63 @p38) :args (@t48)) % 0.37/0.62 (step @p101 :rule cong :premises (@p63 @p43) :args (@t49)) % 0.37/0.62 (step @p102 :rule cong :premises (@p98 @p101 @p100) :args ((ite @t19 @t49 @t48))) % 0.37/0.62 (step @p103 :rule ite_eq :args (@t33)) % 0.37/0.62 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 0.37/0.62 (step @p105 :rule eq_resolve :premises (@p104 @p99)) % 0.37/0.62 (step @p106 :rule ite_elim2 :premises (@p105)) % 0.37/0.62 (step @p107 false :rule chain_m_resolution :premises (@p106 @p95 @p57) :args (false (@list true true) (@list @t47 @t19))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------