%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO885^1.033.003 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 09:13:36 AM UTC 2026 % Result : Theorem 0.36s 0.59s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO885^1.033.003 : TPTP v9.2.1. Released v7.5.0. % 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 : n008.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 01:05:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.36/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.59 % SZS status Theorem % 0.36/0.59 % SZS output start Proof % 0.36/0.59 ( % 0.36/0.59 (declare-sort $$unsorted 0) % 0.36/0.59 (declare-const tptp.f (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.a0 $$unsorted) % 0.36/0.59 (declare-const tptp.a1 $$unsorted) % 0.36/0.59 (declare-const tptp.a2 $$unsorted) % 0.36/0.59 (define @t1 () (_ (_ (_ tptp.f tptp.a0) tptp.a1) tptp.a2)) % 0.36/0.59 (define @t2 () (@var "F" (-> $$unsorted $$unsorted $$unsorted $$unsorted))) % 0.36/0.59 (define @t3 () (_ (_ (_ @t2 tptp.a2) tptp.a1) tptp.a0)) % 0.36/0.59 (define @t4 () (_ @t2 tptp.a0)) % 0.36/0.59 (define @t5 () (_ (_ @t4 tptp.a2) tptp.a1)) % 0.36/0.59 (define @t6 () (_ (_ @t4 tptp.a1) tptp.a2)) % 0.36/0.59 (define @t7 () (and (= @t6 @t1) (= @t5 @t1) (= @t3 @t1))) % 0.36/0.59 (define @t8 () (@list @t2)) % 0.36/0.59 (define @t9 () (exists @t8 @t7)) % 0.36/0.59 (define @t10 () (not @t9)) % 0.36/0.59 (define @t11 () (_ @t2 tptp.a2 tptp.a1 tptp.a0)) % 0.36/0.59 (define @t12 () (tptp.f tptp.a0 tptp.a1 tptp.a2)) % 0.36/0.59 (define @t13 () (_ @t2 tptp.a0 tptp.a2 tptp.a1)) % 0.36/0.59 (define @t14 () (_ @t2 tptp.a0 tptp.a1 tptp.a2)) % 0.36/0.59 (define @t15 () (forall @t8 (or (not (= @t12 @t14)) (not (= @t12 @t13)) (not (= @t12 @t11))))) % 0.36/0.59 (define @t16 () (= @t1 @t3)) % 0.36/0.59 (define @t17 () (not @t16)) % 0.36/0.59 (define @t18 () (= @t1 @t5)) % 0.36/0.59 (define @t19 () (not @t18)) % 0.36/0.59 (define @t20 () (= @t1 @t6)) % 0.36/0.59 (define @t21 () (not @t20)) % 0.36/0.59 (define @t22 () (or @t21 @t19 @t17)) % 0.36/0.59 (define @t23 () (and @t20 @t18 @t16)) % 0.36/0.59 (define @t24 () (forall @t8 (not @t23))) % 0.36/0.59 (define @t25 () (not @t24)) % 0.36/0.59 (define @t26 () (lambda (@list (@var "BOUND_VARIABLE_7498" $$unsorted) (@var "BOUND_VARIABLE_7499" $$unsorted) (@var "BOUND_VARIABLE_7500" $$unsorted)) @t12)) % 0.36/0.59 (define @t27 () (_ @t26 tptp.a2 tptp.a1 tptp.a0)) % 0.36/0.59 (define @t28 () (= @t12 @t27)) % 0.36/0.59 (define @t29 () (not @t28)) % 0.36/0.59 (define @t30 () (_ @t26 tptp.a0 tptp.a2 tptp.a1)) % 0.36/0.59 (define @t31 () (= @t12 @t30)) % 0.36/0.59 (define @t32 () (not @t31)) % 0.36/0.59 (define @t33 () (_ @t26 tptp.a0 tptp.a1 tptp.a2)) % 0.36/0.59 (define @t34 () (= @t12 @t33)) % 0.36/0.59 (define @t35 () (not @t34)) % 0.36/0.59 (define @t36 () (or @t35 @t32 @t29)) % 0.36/0.59 (assume @p1 @t10) % 0.36/0.59 (assume @p2 true) % 0.36/0.59 (step @p3 :rule bool-double-not-elim :args (@t15)) % 0.36/0.59 (step @p4 :rule refl :args (@t11)) % 0.36/0.59 (step @p5 :rule refl :args (@t3)) % 0.36/0.59 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t3 @t11))) % 0.36/0.59 (step @p7 :rule symm :premises (@p6)) % 0.36/0.59 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.36/0.59 (step @p9 :rule refl :args (@t12)) % 0.36/0.59 (step @p10 :rule refl :args (@t1)) % 0.36/0.59 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t1 @t12))) % 0.36/0.59 (step @p12 :rule symm :premises (@p11)) % 0.36/0.59 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.36/0.59 (step @p14 :rule cong :premises (@p13 @p8) :args (@t16)) % 0.36/0.59 (step @p15 :rule cong :premises (@p14) :args (@t17)) % 0.36/0.59 (step @p16 :rule refl :args (@t13)) % 0.36/0.59 (step @p17 :rule refl :args (@t5)) % 0.36/0.59 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t5 @t13))) % 0.36/0.59 (step @p19 :rule symm :premises (@p18)) % 0.36/0.59 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.36/0.59 (step @p21 :rule cong :premises (@p13 @p20) :args (@t18)) % 0.36/0.59 (step @p22 :rule cong :premises (@p21) :args (@t19)) % 0.36/0.59 (step @p23 :rule refl :args (@t14)) % 0.36/0.59 (step @p24 :rule refl :args (@t6)) % 0.36/0.59 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t6 @t14))) % 0.36/0.59 (step @p26 :rule symm :premises (@p25)) % 0.36/0.59 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.36/0.59 (step @p28 :rule cong :premises (@p13 @p27) :args (@t20)) % 0.36/0.59 (step @p29 :rule cong :premises (@p28) :args (@t21)) % 0.36/0.59 (step @p30 :rule nary_cong :premises (@p29 @p22 @p15) :args (@t22)) % 0.36/0.59 (step @p31 :rule cong :premises (@p30) :args ((forall @t8 @t22))) % 0.36/0.59 (step @p32 :rule aci_norm :args ((= (or @t21 (or @t19 @t17)) @t22))) % 0.36/0.59 (step @p33 :rule bool-and-de-morgan :args (@t18 @t16 true)) % 0.36/0.59 (step @p34 :rule refl :args (@t21)) % 0.36/0.59 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t21 (not (and @t18 @t16))))) % 0.36/0.59 (step @p36 :rule bool-and-de-morgan :args (@t20 @t18 (and @t16))) % 0.36/0.59 (step @p37 :rule trans :premises (@p36 @p35)) % 0.36/0.59 (step @p38 :rule trans :premises (@p37 @p32)) % 0.36/0.59 (step @p39 :rule cong :premises (@p38) :args (@t24)) % 0.36/0.59 (step @p40 :rule trans :premises (@p39 @p31)) % 0.36/0.59 (step @p41 :rule cong :premises (@p40) :args (@t25)) % 0.36/0.59 (step @p42 :rule exists-elim :args ((= (exists @t8 @t23) @t25))) % 0.36/0.59 (step @p43 :rule trans :premises (@p42 @p41)) % 0.36/0.59 (step @p44 :rule eq-symm :args (@t3 @t1)) % 0.36/0.59 (step @p45 :rule eq-symm :args (@t5 @t1)) % 0.36/0.59 (step @p46 :rule eq-symm :args (@t6 @t1)) % 0.36/0.59 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44) :args (@t7)) % 0.36/0.59 (step @p48 :rule cong :premises (@p47) :args (@t9)) % 0.36/0.59 (step @p49 :rule trans :premises (@p48 @p43)) % 0.36/0.59 (step @p50 :rule cong :premises (@p49) :args (@t10)) % 0.36/0.59 (step @p51 :rule trans :premises (@p50 @p3)) % 0.36/0.59 (step @p52 :rule eq_resolve :premises (@p1 @p51)) % 0.36/0.59 (step @p53 :rule bool-impl-false1 :args (@t15)) % 0.36/0.59 (step @p54 :rule evaluate :args ((or false false false))) % 0.36/0.59 (step @p55 :rule evaluate :args ((not true))) % 0.36/0.59 (step @p56 :rule eq-refl :args (@t12)) % 0.36/0.59 (step @p57 :rule beta-reduce :args ((= @t27 @t12))) % 0.36/0.59 (step @p58 :rule refl :args (@t12)) % 0.36/0.59 (step @p59 :rule cong :premises (@p58 @p57) :args (@t28)) % 0.36/0.59 (step @p60 :rule trans :premises (@p59 @p56)) % 0.36/0.59 (step @p61 :rule cong :premises (@p60) :args (@t29)) % 0.36/0.59 (step @p62 :rule trans :premises (@p61 @p55)) % 0.36/0.59 (step @p63 :rule beta-reduce :args ((= @t30 @t12))) % 0.36/0.59 (step @p64 :rule cong :premises (@p58 @p63) :args (@t31)) % 0.36/0.59 (step @p65 :rule trans :premises (@p64 @p56)) % 0.36/0.59 (step @p66 :rule cong :premises (@p65) :args (@t32)) % 0.36/0.59 (step @p67 :rule trans :premises (@p66 @p55)) % 0.36/0.59 (step @p68 :rule beta-reduce :args ((= @t33 @t12))) % 0.36/0.59 (step @p69 :rule cong :premises (@p58 @p68) :args (@t34)) % 0.36/0.59 (step @p70 :rule trans :premises (@p69 @p56)) % 0.36/0.59 (step @p71 :rule cong :premises (@p70) :args (@t35)) % 0.36/0.59 (step @p72 :rule trans :premises (@p71 @p55)) % 0.36/0.59 (step @p73 :rule nary_cong :premises (@p72 @p67 @p62) :args (@t36)) % 0.36/0.59 (step @p74 :rule trans :premises (@p73 @p54)) % 0.36/0.59 (step @p75 :rule refl :args (@t15)) % 0.36/0.59 (step @p76 :rule cong :premises (@p75 @p74) :args ((=> @t15 @t36))) % 0.36/0.59 (step @p77 :rule trans :premises (@p76 @p53)) % 0.36/0.59 (assume-push @p84 @t15) % 0.36/0.59 (step @p79 :rule instantiate :premises (@p52) :args ((@list @t26))) % 0.36/0.59 (step-pop @p85 :rule scope :premises (@p79)) % 0.36/0.59 (step @p80 :rule process_scope :premises (@p85) :args (@t36)) % 0.36/0.59 (step @p82 :rule eq_resolve :premises (@p80 @p77)) % 0.36/0.59 (step @p83 false :rule chain_m_resolution :premises (@p82 @p52) :args (false (@list false) (@list @t15))) % 0.36/0.59 ) % 0.36/0.59 % SZS output end Proof % 0.36/0.59 % cvc5 exiting %------------------------------------------------------------------------------