%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM647^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:40:10 AM UTC 2026 % Result : Theorem 0.31s 0.56s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM647^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 11:41:58 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.31/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.56 % SZS status Theorem % 0.31/0.56 % SZS output start Proof % 0.31/0.56 ( % 0.31/0.56 (declare-sort tptp.nat 0) % 0.31/0.56 (declare-const tptp.y tptp.nat) % 0.31/0.56 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 0.31/0.56 (declare-const tptp.x tptp.nat) % 0.31/0.56 (declare-const tptp.z tptp.nat) % 0.31/0.56 (define @t1 () (_ tptp.pl tptp.x)) % 0.31/0.56 (define @t2 () (_ @t1 tptp.z)) % 0.31/0.56 (define @t3 () (_ @t1 tptp.y)) % 0.31/0.56 (define @t4 () (= @t3 @t2)) % 0.31/0.56 (define @t5 () (@var "Xa" Bool)) % 0.31/0.56 (define @t6 () (@var "Xz" tptp.nat)) % 0.31/0.56 (define @t7 () (@var "Xx" tptp.nat)) % 0.31/0.56 (define @t8 () (_ tptp.pl @t7)) % 0.31/0.56 (define @t9 () (_ @t8 @t6)) % 0.31/0.56 (define @t10 () (@var "Xy" tptp.nat)) % 0.31/0.56 (define @t11 () (_ @t8 @t10)) % 0.31/0.56 (define @t12 () (= @t11 @t9)) % 0.31/0.56 (define @t13 () (not @t12)) % 0.31/0.56 (define @t14 () (= @t10 @t6)) % 0.31/0.56 (define @t15 () (not @t14)) % 0.31/0.56 (define @t16 () (@list @t7 @t10 @t6)) % 0.31/0.56 (define @t17 () (forall @t16 (=> @t15 @t13))) % 0.31/0.56 (define @t18 () (= tptp.y tptp.z)) % 0.31/0.56 (define @t19 () (tptp.pl @t7 @t6)) % 0.31/0.56 (define @t20 () (tptp.pl @t7 @t10)) % 0.31/0.56 (define @t21 () (or @t14 @t13)) % 0.31/0.56 (define @t22 () (tptp.pl tptp.x tptp.y)) % 0.31/0.56 (define @t23 () (tptp.pl tptp.x tptp.z)) % 0.31/0.56 (define @t24 () (= @t23 @t22)) % 0.31/0.56 (define @t25 () (not @t24)) % 0.31/0.56 (define @t26 () (or @t18 @t25)) % 0.31/0.56 (define @t27 () (not @t26)) % 0.31/0.56 (define @t28 () (@list true false)) % 0.31/0.56 (define @t29 () (not (= @t22 @t23))) % 0.31/0.56 (define @t30 () (or @t18 @t29)) % 0.31/0.56 (define @t31 () (forall @t16 (or @t14 (not (= @t20 @t19))))) % 0.31/0.56 (assume @p1 @t4) % 0.31/0.56 (assume @p2 (forall (@list @t5) (=> (not (not @t5)) @t5))) % 0.31/0.56 (assume @p3 @t17) % 0.31/0.56 (assume @p4 (not @t18)) % 0.31/0.56 (assume @p5 true) % 0.31/0.56 (step @p6 :rule refl :args (@t19)) % 0.31/0.56 (step @p7 :rule refl :args (@t9)) % 0.31/0.56 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t9 @t19))) % 0.31/0.56 (step @p9 :rule symm :premises (@p8)) % 0.31/0.56 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.31/0.56 (step @p11 :rule refl :args (@t20)) % 0.31/0.56 (step @p12 :rule refl :args (@t11)) % 0.31/0.56 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t11 @t20))) % 0.31/0.56 (step @p14 :rule symm :premises (@p13)) % 0.31/0.56 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.31/0.56 (step @p16 :rule cong :premises (@p15 @p10) :args (@t12)) % 0.31/0.56 (step @p17 :rule cong :premises (@p16) :args (@t13)) % 0.31/0.56 (step @p18 :rule refl :args (@t14)) % 0.31/0.56 (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t21)) % 0.31/0.56 (step @p20 :rule cong :premises (@p19) :args ((forall @t16 @t21))) % 0.31/0.56 (step @p21 :rule refl :args (@t13)) % 0.31/0.56 (step @p22 :rule bool-double-not-elim :args (@t14)) % 0.31/0.56 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or (not @t15) @t13))) % 0.31/0.56 (step @p24 :rule bool-impl-elim :args (@t15 @t13)) % 0.31/0.56 (step @p25 :rule trans :premises (@p24 @p23)) % 0.31/0.56 (step @p26 :rule cong :premises (@p25) :args (@t17)) % 0.31/0.56 (step @p27 :rule trans :premises (@p26 @p20)) % 0.31/0.56 (step @p28 :rule eq_resolve :premises (@p3 @p27)) % 0.31/0.56 (step @p29 :rule eq-symm :args (@t22 @t23)) % 0.31/0.56 (step @p30 :rule refl :args (@t23)) % 0.31/0.56 (step @p31 :rule refl :args (@t2)) % 0.31/0.56 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t2 @t23))) % 0.31/0.56 (step @p33 :rule symm :premises (@p32)) % 0.31/0.56 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.31/0.56 (step @p35 :rule refl :args (@t22)) % 0.31/0.56 (step @p36 :rule refl :args (@t3)) % 0.31/0.56 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t3 @t22))) % 0.31/0.56 (step @p38 :rule symm :premises (@p37)) % 0.31/0.56 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.31/0.56 (step @p40 :rule cong :premises (@p39 @p34) :args (@t4)) % 0.31/0.56 (step @p41 :rule trans :premises (@p40 @p29)) % 0.31/0.56 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.31/0.56 (step @p43 :rule cnf_or_pos :args (@t26)) % 0.31/0.56 (step @p44 :rule reordering :premises (@p43) :args ((or @t18 @t25 @t27))) % 0.31/0.56 (step @p45 :rule chain_m_resolution :premises (@p44 @p4 @p42) :args (@t27 @t28 (@list @t18 @t24))) % 0.31/0.56 (step @p46 :rule cong :premises (@p29) :args (@t29)) % 0.31/0.56 (step @p47 :rule refl :args (@t18)) % 0.31/0.56 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t30)) % 0.31/0.56 (step @p49 :rule refl :args (@t31)) % 0.31/0.56 (step @p50 :rule cong :premises (@p49 @p48) :args ((=> @t31 @t30))) % 0.31/0.56 (assume-push @p58 @t31) % 0.31/0.56 (step @p52 :rule instantiate :premises (@p28) :args ((@list tptp.x tptp.y tptp.z))) % 0.31/0.56 (step-pop @p59 :rule scope :premises (@p52)) % 0.31/0.56 (step @p53 :rule process_scope :premises (@p59) :args (@t30)) % 0.31/0.56 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 0.31/0.56 (step @p56 :rule implies_elim :premises (@p55)) % 0.31/0.56 (step @p57 false :rule chain_m_resolution :premises (@p56 @p45 @p28) :args (false @t28 (@list @t26 @t31))) % 0.31/0.56 ) % 0.31/0.56 % SZS output end Proof % 0.31/0.56 % cvc5 exiting %------------------------------------------------------------------------------