%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM660^1 : 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 : n020.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 08:40:16 AM UTC 2026 % Result : Theorem 0.29s 0.55s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM660^1 : TPTP v9.2.1. Released v3.7.0. % 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 : n020.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 : Tue Jun 2 11:46:40 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.29/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.55 % SZS status Theorem % 0.29/0.55 % SZS output start Proof % 0.29/0.55 ( % 0.29/0.55 (declare-sort tptp.nat 0) % 0.29/0.55 (declare-const tptp.less (-> tptp.nat tptp.nat Bool)) % 0.29/0.55 (declare-const tptp.more (-> tptp.nat tptp.nat Bool)) % 0.29/0.55 (declare-const tptp.x tptp.nat) % 0.29/0.55 (declare-const tptp.y tptp.nat) % 0.29/0.55 (define @t1 () (= tptp.x tptp.y)) % 0.29/0.55 (define @t2 () (_ (_ tptp.more tptp.x) tptp.y)) % 0.29/0.55 (define @t3 () (not @t2)) % 0.29/0.55 (define @t4 () (=> @t3 @t1)) % 0.29/0.55 (define @t5 () (@var "Xx" tptp.nat)) % 0.29/0.55 (define @t6 () (@var "Xy" tptp.nat)) % 0.29/0.55 (define @t7 () (_ (_ tptp.less @t6) @t5)) % 0.29/0.55 (define @t8 () (_ (_ tptp.more @t5) @t6)) % 0.29/0.55 (define @t9 () (@list @t5 @t6)) % 0.29/0.55 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.29/0.55 (define @t11 () (_ (_ tptp.less tptp.y) tptp.x)) % 0.29/0.55 (define @t12 () (not @t11)) % 0.29/0.55 (define @t13 () (=> @t12 (= tptp.y tptp.x))) % 0.29/0.55 (define @t14 () (not @t13)) % 0.29/0.55 (define @t15 () (tptp.less @t6 @t5)) % 0.29/0.55 (define @t16 () (tptp.more @t5 @t6)) % 0.29/0.55 (define @t17 () (not @t8)) % 0.29/0.55 (define @t18 () (or @t17 @t7)) % 0.29/0.55 (define @t19 () (tptp.less tptp.y tptp.x)) % 0.29/0.55 (define @t20 () (=> @t12 @t1)) % 0.29/0.55 (define @t21 () (tptp.more tptp.x tptp.y)) % 0.29/0.55 (define @t22 () (not @t21)) % 0.29/0.55 (define @t23 () (or @t22 @t19)) % 0.29/0.55 (define @t24 () (not @t23)) % 0.29/0.55 (define @t25 () (forall @t9 (or (not @t16) @t15))) % 0.29/0.55 (assume @p1 @t4) % 0.29/0.55 (assume @p2 @t10) % 0.29/0.55 (assume @p3 @t14) % 0.29/0.55 (assume @p4 true) % 0.29/0.55 (step @p5 :rule refl :args (@t15)) % 0.29/0.55 (step @p6 :rule refl :args (@t7)) % 0.29/0.55 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t7 @t15))) % 0.29/0.55 (step @p8 :rule symm :premises (@p7)) % 0.29/0.55 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.29/0.55 (step @p10 :rule refl :args (@t16)) % 0.29/0.55 (step @p11 :rule refl :args (@t8)) % 0.29/0.55 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t8 @t16))) % 0.29/0.55 (step @p13 :rule symm :premises (@p12)) % 0.29/0.55 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.29/0.55 (step @p15 :rule cong :premises (@p14) :args (@t17)) % 0.29/0.55 (step @p16 :rule nary_cong :premises (@p15 @p9) :args (@t18)) % 0.29/0.55 (step @p17 :rule cong :premises (@p16) :args ((forall @t9 @t18))) % 0.29/0.55 (step @p18 :rule bool-impl-elim :args (@t8 @t7)) % 0.29/0.55 (step @p19 :rule cong :premises (@p18) :args (@t10)) % 0.29/0.55 (step @p20 :rule trans :premises (@p19 @p17)) % 0.29/0.55 (step @p21 :rule eq_resolve :premises (@p2 @p20)) % 0.29/0.55 (step @p22 :rule refl :args (@t1)) % 0.29/0.55 (step @p23 :rule refl :args (@t19)) % 0.29/0.55 (step @p24 :rule refl :args (@t11)) % 0.29/0.55 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t11 @t19))) % 0.29/0.55 (step @p26 :rule symm :premises (@p25)) % 0.29/0.55 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.29/0.55 (step @p28 :rule cong :premises (@p27) :args (@t12)) % 0.29/0.55 (step @p29 :rule cong :premises (@p28 @p22) :args (@t20)) % 0.29/0.55 (step @p30 :rule cong :premises (@p29) :args ((not @t20))) % 0.29/0.55 (step @p31 :rule eq-symm :args (tptp.y tptp.x)) % 0.29/0.55 (step @p32 :rule refl :args (@t12)) % 0.29/0.55 (step @p33 :rule cong :premises (@p32 @p31) :args (@t13)) % 0.29/0.55 (step @p34 :rule cong :premises (@p33) :args (@t14)) % 0.29/0.55 (step @p35 :rule trans :premises (@p34 @p30)) % 0.29/0.55 (step @p36 :rule eq_resolve :premises (@p3 @p35)) % 0.29/0.55 (step @p37 :rule not_implies_elim1 :premises (@p36)) % 0.29/0.55 (step @p38 :rule not_implies_elim2 :premises (@p36)) % 0.29/0.55 (step @p39 :rule bool-double-not-elim :args (@t21)) % 0.29/0.55 (step @p40 :rule nary_cong :premises (@p39 @p22) :args ((or (not @t22) @t1))) % 0.29/0.55 (step @p41 :rule refl :args (@t21)) % 0.29/0.55 (step @p42 :rule refl :args (@t2)) % 0.29/0.55 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t2 @t21))) % 0.29/0.55 (step @p44 :rule symm :premises (@p43)) % 0.29/0.55 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.29/0.55 (step @p46 :rule cong :premises (@p45) :args (@t3)) % 0.29/0.55 (step @p47 :rule cong :premises (@p46 @p22) :args (@t4)) % 0.29/0.55 (step @p48 :rule eq_resolve :premises (@p1 @p47)) % 0.29/0.55 (step @p49 :rule implies_elim :premises (@p48)) % 0.29/0.55 (step @p50 :rule eq_resolve :premises (@p49 @p40)) % 0.29/0.55 (step @p51 :rule reordering :premises (@p50) :args ((or @t1 @t21))) % 0.29/0.55 (step @p52 :rule chain_m_resolution :premises (@p51 @p38) :args (@t21 (@list true) (@list @t1))) % 0.29/0.55 (step @p53 :rule cnf_or_pos :args (@t23)) % 0.29/0.55 (step @p54 :rule reordering :premises (@p53) :args ((or @t22 @t19 @t24))) % 0.29/0.55 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p37) :args (@t24 (@list false true) (@list @t21 @t19))) % 0.29/0.55 (assume-push @p62 @t25) % 0.29/0.55 (step @p57 :rule instantiate :premises (@p21) :args ((@list tptp.x tptp.y))) % 0.29/0.55 (step-pop @p63 :rule scope :premises (@p57)) % 0.29/0.55 (step @p58 :rule process_scope :premises (@p63) :args (@t23)) % 0.29/0.55 (step @p60 :rule implies_elim :premises (@p58)) % 0.29/0.55 (step @p61 false :rule chain_m_resolution :premises (@p60 @p55 @p21) :args (false (@list true false) (@list @t23 @t25))) % 0.29/0.55 ) % 0.29/0.55 % SZS output end Proof % 0.29/0.55 % cvc5 exiting %------------------------------------------------------------------------------