%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM684^1 : 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 : n017.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 08:40:22 AM UTC 2026 % Result : Theorem 0.40s 0.56s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : NUM684^1 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n017.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 11:51:31 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.40/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.56 % SZS status Theorem % 0.40/0.56 % SZS output start Proof % 0.40/0.56 ( % 0.40/0.56 (declare-sort tptp.nat 0) % 0.40/0.56 (declare-const tptp.x tptp.nat) % 0.40/0.56 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 0.40/0.56 (declare-const tptp.z tptp.nat) % 0.40/0.56 (declare-const tptp.y tptp.nat) % 0.40/0.56 (define @t1 () (_ tptp.pl tptp.z)) % 0.40/0.56 (define @t2 () (_ @t1 tptp.y)) % 0.40/0.56 (define @t3 () (_ @t1 tptp.x)) % 0.40/0.56 (define @t4 () (= @t3 @t2)) % 0.40/0.56 (define @t5 () (@var "Xy" tptp.nat)) % 0.40/0.56 (define @t6 () (@var "Xx" tptp.nat)) % 0.40/0.56 (define @t7 () (= @t6 @t5)) % 0.40/0.56 (define @t8 () (@var "Xz" tptp.nat)) % 0.40/0.56 (define @t9 () (_ tptp.pl @t5)) % 0.40/0.56 (define @t10 () (_ @t9 @t8)) % 0.40/0.56 (define @t11 () (_ tptp.pl @t6)) % 0.40/0.56 (define @t12 () (_ @t11 @t8)) % 0.40/0.56 (define @t13 () (= @t12 @t10)) % 0.40/0.56 (define @t14 () (@list @t6 @t5 @t8)) % 0.40/0.56 (define @t15 () (forall @t14 (=> @t13 @t7))) % 0.40/0.56 (define @t16 () (_ @t9 @t6)) % 0.40/0.56 (define @t17 () (_ @t11 @t5)) % 0.40/0.56 (define @t18 () (= @t17 @t16)) % 0.40/0.56 (define @t19 () (forall (@list @t6 @t5) @t18)) % 0.40/0.56 (define @t20 () (= tptp.x tptp.y)) % 0.40/0.56 (define @t21 () (tptp.pl @t5 @t8)) % 0.40/0.56 (define @t22 () (tptp.pl @t6 @t8)) % 0.40/0.56 (define @t23 () (not @t13)) % 0.40/0.56 (define @t24 () (or @t23 @t7)) % 0.40/0.56 (define @t25 () (tptp.pl @t5 @t6)) % 0.40/0.56 (define @t26 () (tptp.pl @t6 @t5)) % 0.40/0.56 (define @t27 () (tptp.pl tptp.z tptp.x)) % 0.40/0.56 (define @t28 () (tptp.pl tptp.z tptp.y)) % 0.40/0.56 (define @t29 () (= (tptp.pl tptp.x tptp.z) (tptp.pl tptp.y tptp.z))) % 0.40/0.56 (define @t30 () (not @t29)) % 0.40/0.56 (define @t31 () (or @t30 @t20)) % 0.40/0.56 (define @t32 () (not @t31)) % 0.40/0.56 (define @t33 () (@list true false)) % 0.40/0.56 (define @t34 () (forall @t14 (or (not (= @t22 @t21)) @t7))) % 0.40/0.56 (assume @p1 @t4) % 0.40/0.56 (assume @p2 @t15) % 0.40/0.56 (assume @p3 @t19) % 0.40/0.56 (assume @p4 (not @t20)) % 0.40/0.56 (assume @p5 true) % 0.40/0.56 (step @p6 :rule refl :args (@t7)) % 0.40/0.56 (step @p7 :rule refl :args (@t21)) % 0.40/0.56 (step @p8 :rule refl :args (@t10)) % 0.40/0.56 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t10 @t21))) % 0.40/0.56 (step @p10 :rule symm :premises (@p9)) % 0.40/0.56 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 0.40/0.56 (step @p12 :rule refl :args (@t22)) % 0.40/0.56 (step @p13 :rule refl :args (@t12)) % 0.40/0.56 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t12 @t22))) % 0.40/0.56 (step @p15 :rule symm :premises (@p14)) % 0.40/0.56 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 0.40/0.56 (step @p17 :rule cong :premises (@p16 @p11) :args (@t13)) % 0.40/0.56 (step @p18 :rule cong :premises (@p17) :args (@t23)) % 0.40/0.56 (step @p19 :rule nary_cong :premises (@p18 @p6) :args (@t24)) % 0.40/0.56 (step @p20 :rule cong :premises (@p19) :args ((forall @t14 @t24))) % 0.40/0.56 (step @p21 :rule bool-impl-elim :args (@t13 @t7)) % 0.40/0.56 (step @p22 :rule cong :premises (@p21) :args (@t15)) % 0.40/0.56 (step @p23 :rule trans :premises (@p22 @p20)) % 0.40/0.56 (step @p24 :rule eq_resolve :premises (@p2 @p23)) % 0.40/0.56 (step @p25 :rule refl :args (@t25)) % 0.40/0.56 (step @p26 :rule refl :args (@t16)) % 0.40/0.56 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t16 @t25))) % 0.40/0.56 (step @p28 :rule symm :premises (@p27)) % 0.40/0.56 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.40/0.56 (step @p30 :rule refl :args (@t26)) % 0.40/0.56 (step @p31 :rule refl :args (@t17)) % 0.40/0.56 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t17 @t26))) % 0.40/0.56 (step @p33 :rule symm :premises (@p32)) % 0.40/0.56 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.40/0.56 (step @p35 :rule cong :premises (@p34 @p29) :args (@t18)) % 0.40/0.56 (step @p36 :rule cong :premises (@p35) :args (@t19)) % 0.40/0.56 (step @p37 :rule eq_resolve :premises (@p3 @p36)) % 0.40/0.56 (step @p38 :rule instantiate :premises (@p37) :args ((@list tptp.z tptp.y))) % 0.40/0.56 (step @p39 :rule eq-symm :args (@t27 @t28)) % 0.40/0.56 (step @p40 :rule refl :args (@t28)) % 0.40/0.56 (step @p41 :rule refl :args (@t2)) % 0.40/0.56 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t2 @t28))) % 0.40/0.56 (step @p43 :rule symm :premises (@p42)) % 0.40/0.56 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.40/0.56 (step @p45 :rule refl :args (@t27)) % 0.40/0.56 (step @p46 :rule refl :args (@t3)) % 0.40/0.56 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t3 @t27))) % 0.40/0.56 (step @p48 :rule symm :premises (@p47)) % 0.40/0.56 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.40/0.56 (step @p50 :rule cong :premises (@p49 @p44) :args (@t4)) % 0.40/0.56 (step @p51 :rule trans :premises (@p50 @p39)) % 0.40/0.56 (step @p52 :rule eq_resolve :premises (@p1 @p51)) % 0.40/0.56 (step @p53 :rule symm :premises (@p52)) % 0.40/0.56 (step @p54 :rule instantiate :premises (@p37) :args ((@list tptp.z tptp.x))) % 0.40/0.56 (step @p55 :rule symm :premises (@p54)) % 0.40/0.57 (step @p56 :rule trans :premises (@p55 @p53 @p38)) % 0.40/0.57 (step @p57 :rule cnf_or_pos :args (@t31)) % 0.40/0.57 (step @p58 :rule reordering :premises (@p57) :args ((or @t20 @t30 @t32))) % 0.40/0.57 (step @p59 :rule chain_m_resolution :premises (@p58 @p4 @p56) :args (@t32 @t33 (@list @t20 @t29))) % 0.40/0.57 (assume-push @p66 @t34) % 0.40/0.57 (step @p61 :rule instantiate :premises (@p24) :args ((@list tptp.x tptp.y tptp.z))) % 0.40/0.57 (step-pop @p67 :rule scope :premises (@p61)) % 0.40/0.57 (step @p62 :rule process_scope :premises (@p67) :args (@t31)) % 0.40/0.57 (step @p64 :rule implies_elim :premises (@p62)) % 0.40/0.57 (step @p65 false :rule chain_m_resolution :premises (@p64 @p59 @p24) :args (false @t33 (@list @t31 @t34))) % 0.40/0.57 ) % 0.40/0.57 % SZS output end Proof % 0.40/0.57 % cvc5 exiting %------------------------------------------------------------------------------