%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN359+1 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.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 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN359+1 : TPTP v9.2.1. Released v2.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.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 23:25:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.54 % SZS status Theorem % 0.30/0.54 % SZS output start Proof % 0.30/0.54 ( % 0.30/0.54 (declare-sort $$unsorted 0) % 0.30/0.54 (declare-const tptp.big_q (-> $$unsorted $$unsorted Bool)) % 0.30/0.54 (declare-const tptp.big_r (-> $$unsorted Bool)) % 0.30/0.54 (define @t1 () (@var "Y" $$unsorted)) % 0.30/0.54 (define @t2 () (tptp.big_r @t1)) % 0.30/0.54 (define @t3 () (@var "X" $$unsorted)) % 0.30/0.54 (define @t4 () (tptp.big_q @t3 @t1)) % 0.30/0.54 (define @t5 () (and @t4 @t2)) % 0.30/0.54 (define @t6 () (@list @t3 @t1)) % 0.30/0.54 (define @t7 () (exists @t6 @t5)) % 0.30/0.54 (define @t8 () (tptp.big_q @t3 @t3)) % 0.30/0.54 (define @t9 () (forall @t6 (=> @t4 @t8))) % 0.30/0.54 (define @t10 () (@var "Z" $$unsorted)) % 0.30/0.54 (define @t11 () (tptp.big_q @t1 @t10)) % 0.30/0.54 (define @t12 () (@list @t10)) % 0.30/0.54 (define @t13 () (exists @t12 @t11)) % 0.30/0.54 (define @t14 () (=> @t2 @t13)) % 0.30/0.54 (define @t15 () (@list @t1)) % 0.30/0.54 (define @t16 () (forall @t15 @t14)) % 0.30/0.54 (define @t17 () (tptp.big_r @t3)) % 0.30/0.54 (define @t18 () (@list @t3)) % 0.30/0.54 (define @t19 () (exists @t18 @t17)) % 0.30/0.54 (define @t20 () (and @t19 @t16 @t9)) % 0.30/0.54 (define @t21 () (=> @t20 @t7)) % 0.30/0.54 (define @t22 () (not @t21)) % 0.30/0.54 (define @t23 () (forall @t6 (not @t5))) % 0.30/0.54 (define @t24 () (not @t23)) % 0.30/0.54 (define @t25 () (not (forall @t12 (not @t11)))) % 0.30/0.54 (define @t26 () (forall @t18 (not @t17))) % 0.30/0.54 (define @t27 () (not @t26)) % 0.30/0.54 (define @t28 () (@quantifiers_skolemize @t26 0)) % 0.30/0.54 (define @t29 () (forall @t12 (not (tptp.big_q @t28 @t10)))) % 0.30/0.54 (define @t30 () (@quantifiers_skolemize @t29 0)) % 0.30/0.54 (define @t31 () (tptp.big_r @t28)) % 0.30/0.54 (define @t32 () (not @t31)) % 0.30/0.54 (define @t33 () (not @t32)) % 0.30/0.54 (define @t34 () (@list true)) % 0.30/0.54 (define @t35 () (not @t29)) % 0.30/0.54 (define @t36 () (or @t32 @t35)) % 0.30/0.54 (define @t37 () (@list false false)) % 0.30/0.54 (define @t38 () (tptp.big_q @t28 @t30)) % 0.30/0.54 (define @t39 () (not @t38)) % 0.30/0.54 (define @t40 () (not @t39)) % 0.30/0.54 (define @t41 () (tptp.big_q @t28 @t28)) % 0.30/0.54 (define @t42 () (or @t39 @t41)) % 0.30/0.54 (define @t43 () (not @t41)) % 0.30/0.54 (define @t44 () (or @t43 @t32)) % 0.30/0.54 (define @t45 () (not @t44)) % 0.30/0.54 (define @t46 () (forall @t6 (or (not @t4) (not @t2)))) % 0.30/0.54 (assume @p1 @t22) % 0.30/0.54 (assume @p2 true) % 0.30/0.54 (step @p3 :rule bool-and-de-morgan :args (@t4 @t2 true)) % 0.30/0.54 (step @p4 :rule cong :premises (@p3) :args (@t23)) % 0.30/0.54 (step @p5 :rule cong :premises (@p4) :args (@t24)) % 0.30/0.54 (step @p6 :rule exists-elim :args ((= @t7 @t24))) % 0.30/0.54 (step @p7 :rule trans :premises (@p6 @p5)) % 0.30/0.54 (step @p8 :rule bool-impl-elim :args (@t4 @t8)) % 0.30/0.54 (step @p9 :rule cong :premises (@p8) :args (@t9)) % 0.30/0.54 (step @p10 :rule bool-impl-elim :args (@t2 @t25)) % 0.30/0.54 (step @p11 :rule cong :premises (@p10) :args ((forall @t15 (=> @t2 @t25)))) % 0.30/0.54 (step @p12 :rule exists-elim :args ((= @t13 @t25))) % 0.30/0.54 (step @p13 :rule refl :args (@t2)) % 0.30/0.54 (step @p14 :rule cong :premises (@p13 @p12) :args (@t14)) % 0.30/0.54 (step @p15 :rule cong :premises (@p14) :args (@t16)) % 0.30/0.54 (step @p16 :rule trans :premises (@p15 @p11)) % 0.30/0.54 (step @p17 :rule exists-elim :args ((= @t19 @t27))) % 0.30/0.54 (step @p18 :rule nary_cong :premises (@p17 @p16 @p9) :args (@t20)) % 0.30/0.54 (step @p19 :rule cong :premises (@p18 @p7) :args (@t21)) % 0.30/0.54 (step @p20 :rule cong :premises (@p19) :args (@t22)) % 0.30/0.54 (step @p21 :rule eq_resolve :premises (@p1 @p20)) % 0.30/0.54 (step @p22 :rule not_implies_elim2 :premises (@p21)) % 0.30/0.54 (step @p23 :rule not_not_elim :premises (@p22)) % 0.30/0.54 (step @p24 :rule not_implies_elim1 :premises (@p21)) % 0.30/0.54 (step @p25 :rule and_elim :premises (@p24) :args (2)) % 0.30/0.54 (step @p26 :rule instantiate :premises (@p25) :args ((@list @t28 @t30))) % 0.30/0.54 (step @p27 :rule and_elim :premises (@p24) :args (1)) % 0.30/0.54 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t28))) % 0.30/0.54 (step @p29 :rule and_elim :premises (@p24) :args (0)) % 0.30/0.54 (step @p30 :rule refl :args (@t31)) % 0.30/0.54 (step @p31 :rule bool-double-not-elim :args (@t26)) % 0.30/0.54 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t27) @t31))) % 0.30/0.54 (step @p33 :rule bool-double-not-elim :args (@t31)) % 0.30/0.54 (step @p34 :rule refl :args (@t27)) % 0.30/0.54 (step @p35 :rule cong :premises (@p34 @p33) :args ((=> @t27 @t33))) % 0.30/0.54 (assume-push @p73 @t27) % 0.30/0.54 (step @p37 :rule skolemize :premises (@p29)) % 0.30/0.54 (step-pop @p74 :rule scope :premises (@p37)) % 0.30/0.54 (step @p38 :rule process_scope :premises (@p74) :args (@t33)) % 0.30/0.54 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 0.30/0.54 (step @p41 :rule implies_elim :premises (@p40)) % 0.30/0.54 (step @p42 :rule eq_resolve :premises (@p41 @p32)) % 0.30/0.54 (step @p43 :rule chain_m_resolution :premises (@p42 @p29) :args (@t31 @t34 (@list @t26))) % 0.30/0.55 (step @p44 :rule cnf_or_pos :args (@t36)) % 0.30/0.55 (step @p45 :rule reordering :premises (@p44) :args ((or @t32 @t35 (not @t36)))) % 0.30/0.55 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p28) :args (@t35 @t37 (@list @t31 @t36))) % 0.30/0.55 (step @p47 :rule refl :args (@t38)) % 0.30/0.55 (step @p48 :rule bool-double-not-elim :args (@t29)) % 0.30/0.55 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or (not @t35) @t38))) % 0.30/0.55 (step @p50 :rule bool-double-not-elim :args (@t38)) % 0.30/0.55 (step @p51 :rule refl :args (@t35)) % 0.30/0.55 (step @p52 :rule cong :premises (@p51 @p50) :args ((=> @t35 @t40))) % 0.30/0.55 (assume-push @p75 @t35) % 0.30/0.55 (step @p54 :rule skolemize :premises (@p46)) % 0.30/0.55 (step-pop @p76 :rule scope :premises (@p54)) % 0.30/0.55 (step @p55 :rule process_scope :premises (@p76) :args (@t40)) % 0.30/0.55 (step @p57 :rule eq_resolve :premises (@p55 @p52)) % 0.30/0.55 (step @p58 :rule implies_elim :premises (@p57)) % 0.30/0.55 (step @p59 :rule eq_resolve :premises (@p58 @p49)) % 0.30/0.55 (step @p60 :rule chain_m_resolution :premises (@p59 @p46) :args (@t38 @t34 (@list @t29))) % 0.30/0.55 (step @p61 :rule cnf_or_pos :args (@t42)) % 0.30/0.55 (step @p62 :rule reordering :premises (@p61) :args ((or @t39 @t41 (not @t42)))) % 0.30/0.55 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p26) :args (@t41 @t37 (@list @t38 @t42))) % 0.30/0.55 (step @p64 :rule cnf_or_pos :args (@t44)) % 0.30/0.55 (step @p65 :rule reordering :premises (@p64) :args ((or @t32 @t43 @t45))) % 0.30/0.55 (step @p66 :rule chain_m_resolution :premises (@p65 @p43 @p63) :args (@t45 @t37 (@list @t31 @t41))) % 0.30/0.55 (assume-push @p77 @t46) % 0.30/0.55 (step @p68 :rule instantiate :premises (@p23) :args ((@list @t28 @t28))) % 0.30/0.55 (step-pop @p78 :rule scope :premises (@p68)) % 0.30/0.55 (step @p69 :rule process_scope :premises (@p78) :args (@t44)) % 0.30/0.55 (step @p71 :rule implies_elim :premises (@p69)) % 0.30/0.55 (step @p72 false :rule chain_m_resolution :premises (@p71 @p66 @p23) :args (false (@list true false) (@list @t44 @t46))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------