%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO140^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 09:12:06 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO140^5 : TPTP v9.2.1. Released v4.0.0. % 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 : n005.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 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:59:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.37/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.cP (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.cQ (-> $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "Xx" $$unsorted)) % 0.37/0.56 (define @t2 () (_ tptp.cQ @t1)) % 0.37/0.56 (define @t3 () (@list @t1)) % 0.37/0.56 (define @t4 () (exists @t3 @t2)) % 0.37/0.56 (define @t5 () (_ tptp.cP @t1)) % 0.37/0.56 (define @t6 () (forall @t3 (=> @t5 @t2))) % 0.37/0.56 (define @t7 () (=> @t6 @t4)) % 0.37/0.56 (define @t8 () (exists @t3 @t5)) % 0.37/0.56 (define @t9 () (=> @t8 @t7)) % 0.37/0.56 (define @t10 () (not @t9)) % 0.37/0.56 (define @t11 () (tptp.cQ @t1)) % 0.37/0.56 (define @t12 () (not @t2)) % 0.37/0.56 (define @t13 () (forall @t3 @t12)) % 0.37/0.56 (define @t14 () (not @t13)) % 0.37/0.56 (define @t15 () (tptp.cP @t1)) % 0.37/0.56 (define @t16 () (not @t5)) % 0.37/0.56 (define @t17 () (or @t16 @t2)) % 0.37/0.56 (define @t18 () (forall @t3 @t16)) % 0.37/0.56 (define @t19 () (not @t18)) % 0.37/0.56 (define @t20 () (forall @t3 (not @t15))) % 0.37/0.56 (define @t21 () (@quantifiers_skolemize @t20 0)) % 0.37/0.56 (define @t22 () (@list @t21)) % 0.37/0.56 (define @t23 () (tptp.cP @t21)) % 0.37/0.56 (define @t24 () (not @t20)) % 0.37/0.56 (define @t25 () (not @t23)) % 0.37/0.56 (define @t26 () (not @t25)) % 0.37/0.56 (define @t27 () (tptp.cQ @t21)) % 0.37/0.56 (define @t28 () (or @t25 @t27)) % 0.37/0.56 (define @t29 () (@list false false)) % 0.37/0.56 (define @t30 () (forall @t3 (not @t11))) % 0.37/0.56 (assume @p1 @t10) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule refl :args (@t11)) % 0.37/0.56 (step @p4 :rule refl :args (@t2)) % 0.37/0.56 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t2 @t11))) % 0.37/0.56 (step @p6 :rule symm :premises (@p5)) % 0.37/0.56 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.37/0.56 (step @p8 :rule cong :premises (@p7) :args (@t12)) % 0.37/0.56 (step @p9 :rule cong :premises (@p8) :args (@t13)) % 0.37/0.56 (step @p10 :rule cong :premises (@p9) :args (@t14)) % 0.37/0.56 (step @p11 :rule exists-elim :args ((= @t4 @t14))) % 0.37/0.56 (step @p12 :rule trans :premises (@p11 @p10)) % 0.37/0.56 (step @p13 :rule refl :args (@t15)) % 0.37/0.56 (step @p14 :rule refl :args (@t5)) % 0.37/0.56 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t5 @t15))) % 0.37/0.56 (step @p16 :rule symm :premises (@p15)) % 0.37/0.56 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.37/0.56 (step @p18 :rule cong :premises (@p17) :args (@t16)) % 0.37/0.56 (step @p19 :rule nary_cong :premises (@p18 @p7) :args (@t17)) % 0.37/0.56 (step @p20 :rule cong :premises (@p19) :args ((forall @t3 @t17))) % 0.37/0.56 (step @p21 :rule bool-impl-elim :args (@t5 @t2)) % 0.37/0.56 (step @p22 :rule cong :premises (@p21) :args (@t6)) % 0.37/0.56 (step @p23 :rule trans :premises (@p22 @p20)) % 0.37/0.56 (step @p24 :rule cong :premises (@p23 @p12) :args (@t7)) % 0.37/0.56 (step @p25 :rule cong :premises (@p18) :args (@t18)) % 0.37/0.56 (step @p26 :rule cong :premises (@p25) :args (@t19)) % 0.37/0.56 (step @p27 :rule exists-elim :args ((= @t8 @t19))) % 0.37/0.56 (step @p28 :rule trans :premises (@p27 @p26)) % 0.37/0.56 (step @p29 :rule cong :premises (@p28 @p24) :args (@t9)) % 0.37/0.56 (step @p30 :rule cong :premises (@p29) :args (@t10)) % 0.37/0.56 (step @p31 :rule eq_resolve :premises (@p1 @p30)) % 0.37/0.56 (step @p32 :rule not_implies_elim2 :premises (@p31)) % 0.37/0.56 (step @p33 :rule not_implies_elim2 :premises (@p32)) % 0.37/0.56 (step @p34 :rule not_not_elim :premises (@p33)) % 0.37/0.56 (step @p35 :rule not_implies_elim1 :premises (@p32)) % 0.37/0.56 (step @p36 :rule instantiate :premises (@p35) :args (@t22)) % 0.37/0.56 (step @p37 :rule not_implies_elim1 :premises (@p31)) % 0.37/0.56 (step @p38 :rule refl :args (@t23)) % 0.37/0.56 (step @p39 :rule bool-double-not-elim :args (@t20)) % 0.37/0.56 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or (not @t24) @t23))) % 0.37/0.56 (step @p41 :rule bool-double-not-elim :args (@t23)) % 0.37/0.56 (step @p42 :rule refl :args (@t24)) % 0.37/0.56 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t24 @t26))) % 0.37/0.56 (assume-push @p61 @t24) % 0.37/0.56 (step @p45 :rule skolemize :premises (@p37)) % 0.37/0.56 (step-pop @p62 :rule scope :premises (@p45)) % 0.37/0.56 (step @p46 :rule process_scope :premises (@p62) :args (@t26)) % 0.37/0.56 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 0.37/0.56 (step @p49 :rule implies_elim :premises (@p48)) % 0.37/0.56 (step @p50 :rule eq_resolve :premises (@p49 @p40)) % 0.37/0.56 (step @p51 :rule chain_m_resolution :premises (@p50 @p37) :args (@t23 (@list true) (@list @t20))) % 0.37/0.56 (step @p52 :rule cnf_or_pos :args (@t28)) % 0.37/0.56 (step @p53 :rule reordering :premises (@p52) :args ((or @t25 @t27 (not @t28)))) % 0.37/0.56 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p36) :args (@t27 @t29 (@list @t23 @t28))) % 0.37/0.56 (assume-push @p63 @t30) % 0.37/0.56 (step @p56 :rule instantiate :premises (@p34) :args (@t22)) % 0.37/0.56 (step-pop @p64 :rule scope :premises (@p56)) % 0.37/0.56 (step @p57 :rule process_scope :premises (@p64) :args ((not @t27))) % 0.37/0.56 (step @p59 :rule implies_elim :premises (@p57)) % 0.37/0.56 (step @p60 false :rule chain_m_resolution :premises (@p59 @p54 @p34) :args (false @t29 (@list @t27 @t30))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------