%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN361+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 09:08:41 AM UTC 2026 % Result : Theorem 0.28s 0.55s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN361+1 : TPTP v9.2.1. Released v2.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 23:25:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.28/0.55 % SZS status Theorem % 0.28/0.55 % SZS output start Proof % 0.28/0.55 ( % 0.28/0.55 (declare-sort $$unsorted 0) % 0.28/0.55 (declare-const tptp.big_p (-> $$unsorted $$unsorted Bool)) % 0.28/0.55 (declare-const tptp.big_q (-> $$unsorted $$unsorted Bool)) % 0.28/0.55 (declare-const tptp.big_s (-> $$unsorted Bool)) % 0.28/0.55 (define @t1 () (@var "U" $$unsorted)) % 0.28/0.55 (define @t2 () (tptp.big_s @t1)) % 0.28/0.55 (define @t3 () (not @t2)) % 0.28/0.55 (define @t4 () (@list @t1)) % 0.28/0.55 (define @t5 () (exists @t4 @t3)) % 0.28/0.55 (define @t6 () (@var "Y" $$unsorted)) % 0.28/0.55 (define @t7 () (@var "X" $$unsorted)) % 0.28/0.55 (define @t8 () (not (tptp.big_q @t7 @t6))) % 0.28/0.55 (define @t9 () (tptp.big_p @t7 @t6)) % 0.28/0.55 (define @t10 () (forall (@list @t7 @t6) (=> @t9 @t8))) % 0.28/0.55 (define @t11 () (tptp.big_q @t6 @t7)) % 0.28/0.55 (define @t12 () (@list @t6)) % 0.28/0.55 (define @t13 () (exists @t12 @t11)) % 0.28/0.55 (define @t14 () (tptp.big_s @t7)) % 0.28/0.55 (define @t15 () (=> @t14 @t13)) % 0.28/0.55 (define @t16 () (@list @t7)) % 0.28/0.55 (define @t17 () (forall @t16 @t15)) % 0.28/0.55 (define @t18 () (@var "V" $$unsorted)) % 0.28/0.55 (define @t19 () (forall @t16 (tptp.big_p @t7 @t18))) % 0.28/0.55 (define @t20 () (@list @t18)) % 0.28/0.55 (define @t21 () (exists @t20 @t19)) % 0.28/0.55 (define @t22 () (and @t21 @t17 @t10)) % 0.28/0.55 (define @t23 () (=> @t22 @t5)) % 0.28/0.55 (define @t24 () (not @t23)) % 0.28/0.55 (define @t25 () (forall @t4 (not @t3))) % 0.28/0.55 (define @t26 () (not @t25)) % 0.28/0.55 (define @t27 () (not (forall @t12 (not @t11)))) % 0.28/0.55 (define @t28 () (forall @t20 (not @t19))) % 0.28/0.55 (define @t29 () (not @t28)) % 0.28/0.55 (define @t30 () (@quantifiers_skolemize @t28 0)) % 0.28/0.55 (define @t31 () (forall @t16 (tptp.big_p @t7 @t30))) % 0.28/0.55 (define @t32 () (not (not @t31))) % 0.28/0.55 (define @t33 () (@list true)) % 0.28/0.55 (define @t34 () (forall @t12 (not (tptp.big_q @t6 @t30)))) % 0.28/0.55 (define @t35 () (@quantifiers_skolemize @t34 0)) % 0.28/0.55 (define @t36 () (@list @t30)) % 0.28/0.55 (define @t37 () (not @t34)) % 0.28/0.55 (define @t38 () (tptp.big_s @t30)) % 0.28/0.55 (define @t39 () (not @t38)) % 0.28/0.55 (define @t40 () (or @t39 @t37)) % 0.28/0.55 (define @t41 () (@list false false)) % 0.28/0.55 (define @t42 () (tptp.big_q @t35 @t30)) % 0.28/0.55 (define @t43 () (not @t42)) % 0.28/0.55 (define @t44 () (not @t43)) % 0.28/0.55 (define @t45 () (tptp.big_p @t35 @t30)) % 0.28/0.55 (define @t46 () (not @t45)) % 0.28/0.55 (define @t47 () (or @t46 @t43)) % 0.28/0.55 (assume @p1 @t24) % 0.28/0.55 (assume @p2 true) % 0.28/0.55 (step @p3 :rule bool-double-not-elim :args (@t2)) % 0.28/0.55 (step @p4 :rule cong :premises (@p3) :args (@t25)) % 0.28/0.55 (step @p5 :rule cong :premises (@p4) :args (@t26)) % 0.28/0.55 (step @p6 :rule exists-elim :args ((= @t5 @t26))) % 0.28/0.55 (step @p7 :rule trans :premises (@p6 @p5)) % 0.28/0.55 (step @p8 :rule bool-impl-elim :args (@t9 @t8)) % 0.28/0.55 (step @p9 :rule cong :premises (@p8) :args (@t10)) % 0.28/0.55 (step @p10 :rule bool-impl-elim :args (@t14 @t27)) % 0.28/0.55 (step @p11 :rule cong :premises (@p10) :args ((forall @t16 (=> @t14 @t27)))) % 0.28/0.55 (step @p12 :rule exists-elim :args ((= @t13 @t27))) % 0.28/0.55 (step @p13 :rule refl :args (@t14)) % 0.28/0.55 (step @p14 :rule cong :premises (@p13 @p12) :args (@t15)) % 0.28/0.55 (step @p15 :rule cong :premises (@p14) :args (@t17)) % 0.28/0.55 (step @p16 :rule trans :premises (@p15 @p11)) % 0.28/0.55 (step @p17 :rule exists-elim :args ((= @t21 @t29))) % 0.28/0.55 (step @p18 :rule nary_cong :premises (@p17 @p16 @p9) :args (@t22)) % 0.28/0.55 (step @p19 :rule cong :premises (@p18 @p7) :args (@t23)) % 0.28/0.55 (step @p20 :rule cong :premises (@p19) :args (@t24)) % 0.28/0.55 (step @p21 :rule eq_resolve :premises (@p1 @p20)) % 0.28/0.55 (step @p22 :rule not_implies_elim1 :premises (@p21)) % 0.28/0.55 (step @p23 :rule and_elim :premises (@p22) :args (0)) % 0.28/0.55 (step @p24 :rule refl :args (@t31)) % 0.28/0.55 (step @p25 :rule bool-double-not-elim :args (@t28)) % 0.28/0.55 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or (not @t29) @t31))) % 0.28/0.55 (step @p27 :rule bool-double-not-elim :args (@t31)) % 0.28/0.55 (step @p28 :rule refl :args (@t29)) % 0.28/0.55 (step @p29 :rule cong :premises (@p28 @p27) :args ((=> @t29 @t32))) % 0.28/0.55 (assume-push @p71 @t29) % 0.28/0.55 (step @p31 :rule skolemize :premises (@p23)) % 0.28/0.55 (step-pop @p72 :rule scope :premises (@p31)) % 0.28/0.55 (step @p32 :rule process_scope :premises (@p72) :args (@t32)) % 0.28/0.55 (step @p34 :rule eq_resolve :premises (@p32 @p29)) % 0.28/0.55 (step @p35 :rule implies_elim :premises (@p34)) % 0.28/0.55 (step @p36 :rule eq_resolve :premises (@p35 @p26)) % 0.28/0.55 (step @p37 :rule chain_m_resolution :premises (@p36 @p23) :args (@t31 @t33 (@list @t28))) % 0.28/0.55 (step @p38 :rule and_elim :premises (@p22) :args (2)) % 0.28/0.55 (step @p39 :rule instantiate :premises (@p38) :args ((@list @t35 @t30))) % 0.28/0.55 (step @p40 :rule and_elim :premises (@p22) :args (1)) % 0.28/0.55 (step @p41 :rule instantiate :premises (@p40) :args (@t36)) % 0.28/0.55 (step @p42 :rule not_implies_elim2 :premises (@p21)) % 0.28/0.55 (step @p43 :rule not_not_elim :premises (@p42)) % 0.28/0.55 (step @p44 :rule instantiate :premises (@p43) :args (@t36)) % 0.28/0.55 (step @p45 :rule cnf_or_pos :args (@t40)) % 0.28/0.55 (step @p46 :rule reordering :premises (@p45) :args ((or @t39 @t37 (not @t40)))) % 0.28/0.55 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p41) :args (@t37 @t41 (@list @t38 @t40))) % 0.28/0.55 (step @p48 :rule refl :args (@t42)) % 0.28/0.55 (step @p49 :rule bool-double-not-elim :args (@t34)) % 0.28/0.55 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or (not @t37) @t42))) % 0.28/0.55 (step @p51 :rule bool-double-not-elim :args (@t42)) % 0.28/0.55 (step @p52 :rule refl :args (@t37)) % 0.28/0.55 (step @p53 :rule cong :premises (@p52 @p51) :args ((=> @t37 @t44))) % 0.28/0.55 (assume-push @p73 @t37) % 0.28/0.55 (step @p55 :rule skolemize :premises (@p47)) % 0.28/0.55 (step-pop @p74 :rule scope :premises (@p55)) % 0.28/0.55 (step @p56 :rule process_scope :premises (@p74) :args (@t44)) % 0.28/0.55 (step @p58 :rule eq_resolve :premises (@p56 @p53)) % 0.28/0.55 (step @p59 :rule implies_elim :premises (@p58)) % 0.28/0.55 (step @p60 :rule eq_resolve :premises (@p59 @p50)) % 0.28/0.55 (step @p61 :rule chain_m_resolution :premises (@p60 @p47) :args (@t42 @t33 (@list @t34))) % 0.28/0.55 (step @p62 :rule cnf_or_pos :args (@t47)) % 0.28/0.55 (step @p63 :rule reordering :premises (@p62) :args ((or @t43 @t46 (not @t47)))) % 0.28/0.55 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p39) :args (@t46 @t41 (@list @t42 @t47))) % 0.28/0.55 (assume-push @p75 @t31) % 0.28/0.55 (step @p66 :rule instantiate :premises (@p37) :args ((@list @t35))) % 0.28/0.55 (step-pop @p76 :rule scope :premises (@p66)) % 0.28/0.55 (step @p67 :rule process_scope :premises (@p76) :args (@t45)) % 0.28/0.55 (step @p69 :rule implies_elim :premises (@p67)) % 0.28/0.55 (step @p70 false :rule chain_m_resolution :premises (@p69 @p64 @p37) :args (false (@list true false) (@list @t45 @t31))) % 0.28/0.55 ) % 0.28/0.55 % SZS output end Proof % 0.28/0.55 % cvc5 exiting %------------------------------------------------------------------------------