%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN733+1 : TPTP v9.2.1. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 09:09:45 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 : SYN733+1 : TPTP v9.2.1. Released v2.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n021.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 23:35:35 EDT 2026 % 0.15/0.34 % 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 $$unsorted 0) % 0.30/0.54 (declare-const tptp.p (-> $$unsorted Bool)) % 0.30/0.54 (declare-const tptp.q (-> $$unsorted Bool)) % 0.30/0.54 (define @t1 () (@var "Z" $$unsorted)) % 0.30/0.54 (define @t2 () (tptp.q @t1)) % 0.30/0.54 (define @t3 () (tptp.p @t1)) % 0.30/0.54 (define @t4 () (and @t3 @t2)) % 0.30/0.54 (define @t5 () (@list @t1)) % 0.30/0.54 (define @t6 () (exists @t5 @t4)) % 0.30/0.54 (define @t7 () (@var "X" $$unsorted)) % 0.30/0.54 (define @t8 () (tptp.q @t7)) % 0.30/0.54 (define @t9 () (@var "Y" $$unsorted)) % 0.30/0.54 (define @t10 () (tptp.q @t9)) % 0.30/0.54 (define @t11 () (or @t10 @t8)) % 0.30/0.54 (define @t12 () (tptp.p @t7)) % 0.30/0.54 (define @t13 () (and @t12 @t11)) % 0.30/0.54 (define @t14 () (@list @t9)) % 0.30/0.54 (define @t15 () (exists @t14 @t13)) % 0.30/0.54 (define @t16 () (@list @t7)) % 0.30/0.54 (define @t17 () (forall @t16 @t15)) % 0.30/0.54 (define @t18 () (=> @t17 @t6)) % 0.30/0.54 (define @t19 () (not @t18)) % 0.30/0.54 (define @t20 () (forall @t5 (not @t4))) % 0.30/0.54 (define @t21 () (not @t20)) % 0.30/0.54 (define @t22 () (@var "BOUND_VARIABLE_7463" $$unsorted)) % 0.30/0.54 (define @t23 () (tptp.q @t22)) % 0.30/0.54 (define @t24 () (@list @t22)) % 0.30/0.54 (define @t25 () (forall @t24 @t23)) % 0.30/0.54 (define @t26 () (@var "BOUND_VARIABLE_7441" $$unsorted)) % 0.30/0.54 (define @t27 () (forall (@list @t26) (not (tptp.q @t26)))) % 0.30/0.54 (define @t28 () (not @t27)) % 0.30/0.54 (define @t29 () (forall @t24 (or @t28 @t23))) % 0.30/0.54 (define @t30 () (@var "BOUND_VARIABLE_7458" $$unsorted)) % 0.30/0.54 (define @t31 () (forall (@list @t30) (tptp.p @t30))) % 0.30/0.54 (define @t32 () (or @t28 @t8)) % 0.30/0.54 (define @t33 () (forall @t16 @t32)) % 0.30/0.54 (define @t34 () (@list @t7)) % 0.30/0.54 (define @t35 () (forall @t16 @t12)) % 0.30/0.54 (define @t36 () (and @t35 @t33)) % 0.30/0.54 (define @t37 () (not @t8)) % 0.30/0.54 (define @t38 () (and @t27 @t37)) % 0.30/0.54 (define @t39 () (not @t38)) % 0.30/0.54 (define @t40 () (not @t12)) % 0.30/0.54 (define @t41 () (forall @t14 @t37)) % 0.30/0.54 (define @t42 () (not @t10)) % 0.30/0.54 (define @t43 () (forall @t14 @t42)) % 0.30/0.54 (define @t44 () (and @t43 @t41)) % 0.30/0.54 (define @t45 () (and @t42 @t37)) % 0.30/0.54 (define @t46 () (forall @t14 @t45)) % 0.30/0.54 (define @t47 () (or @t40 @t46)) % 0.30/0.54 (define @t48 () (forall @t14 (not @t13))) % 0.30/0.54 (define @t49 () (not @t48)) % 0.30/0.54 (define @t50 () (@quantifiers_skolemize @t27 0)) % 0.30/0.54 (define @t51 () (@list @t50)) % 0.30/0.54 (define @t52 () (tptp.q @t50)) % 0.30/0.54 (define @t53 () (not @t52)) % 0.30/0.54 (define @t54 () (tptp.p @t50)) % 0.30/0.54 (define @t55 () (not @t54)) % 0.30/0.54 (define @t56 () (or @t55 @t53)) % 0.30/0.54 (define @t57 () (not @t53)) % 0.30/0.54 (assume @p1 @t19) % 0.30/0.54 (assume @p2 true) % 0.30/0.54 (step @p3 :rule bool-and-de-morgan :args (@t3 @t2 true)) % 0.30/0.54 (step @p4 :rule cong :premises (@p3) :args (@t20)) % 0.30/0.54 (step @p5 :rule cong :premises (@p4) :args (@t21)) % 0.30/0.54 (step @p6 :rule exists-elim :args ((= @t6 @t21))) % 0.30/0.54 (step @p7 :rule trans :premises (@p6 @p5)) % 0.30/0.54 (step @p8 :rule quant-miniscope-or :args ((= @t29 (or @t28 @t25)))) % 0.30/0.54 (step @p9 :rule refl :args (@t31)) % 0.30/0.54 (step @p10 :rule nary_cong :premises (@p9 @p8) :args ((and @t31 @t29))) % 0.30/0.54 (step @p11 :rule alpha_equiv :args (@t33 @t34 (@list @t22))) % 0.30/0.54 (step @p12 :rule alpha_equiv :args (@t35 @t34 (@list @t30))) % 0.30/0.54 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t36)) % 0.30/0.54 (step @p14 :rule quant-miniscope-and :args ((= (forall @t16 (and @t12 @t32)) @t36))) % 0.30/0.54 (step @p15 :rule trans :premises (@p14 @p13)) % 0.30/0.54 (step @p16 :rule trans :premises (@p15 @p10)) % 0.30/0.54 (step @p17 :rule bool-double-not-elim :args (@t8)) % 0.30/0.54 (step @p18 :rule refl :args (@t28)) % 0.30/0.54 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t28 (not @t37)))) % 0.30/0.54 (step @p20 :rule bool-and-de-morgan :args (@t27 @t37 true)) % 0.30/0.54 (step @p21 :rule trans :premises (@p20 @p19)) % 0.30/0.54 (step @p22 :rule refl :args (@t12)) % 0.30/0.54 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((and @t12 @t39))) % 0.30/0.54 (step @p24 :rule refl :args (@t39)) % 0.30/0.54 (step @p25 :rule bool-double-not-elim :args (@t12)) % 0.30/0.54 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((and (not @t40) @t39))) % 0.30/0.54 (step @p27 :rule bool-or-de-morgan :args (@t40 @t38 false)) % 0.30/0.54 (step @p28 :rule trans :premises (@p27 @p26)) % 0.30/0.54 (step @p29 :rule trans :premises (@p28 @p23)) % 0.30/0.54 (step @p30 :rule cong :premises (@p29) :args ((forall @t16 (not (or @t40 @t38))))) % 0.30/0.54 (step @p31 :rule trans :premises (@p30 @p16)) % 0.30/0.54 (step @p32 :rule quant-unused-vars :args ((= @t41 @t37))) % 0.30/0.54 (step @p33 :rule alpha_equiv :args (@t43 (@list @t9) (@list @t26))) % 0.30/0.54 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t44)) % 0.30/0.54 (step @p35 :rule quant-miniscope-and :args ((= @t46 @t44))) % 0.30/0.55 (step @p36 :rule trans :premises (@p35 @p34)) % 0.30/0.55 (step @p37 :rule refl :args (@t40)) % 0.30/0.55 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t47)) % 0.30/0.55 (step @p39 :rule quant-miniscope-or :args ((= (forall @t14 (or @t40 @t45)) @t47))) % 0.30/0.55 (step @p40 :rule trans :premises (@p39 @p38)) % 0.30/0.55 (step @p41 :rule bool-or-de-morgan :args (@t10 @t8 false)) % 0.30/0.55 (step @p42 :rule refl :args (@t40)) % 0.30/0.55 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t40 (not @t11)))) % 0.30/0.55 (step @p44 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.30/0.55 (step @p45 :rule trans :premises (@p44 @p43)) % 0.30/0.55 (step @p46 :rule cong :premises (@p45) :args (@t48)) % 0.30/0.55 (step @p47 :rule trans :premises (@p46 @p40)) % 0.30/0.55 (step @p48 :rule cong :premises (@p47) :args (@t49)) % 0.30/0.55 (step @p49 :rule exists-elim :args ((= @t15 @t49))) % 0.30/0.55 (step @p50 :rule trans :premises (@p49 @p48)) % 0.30/0.55 (step @p51 :rule cong :premises (@p50) :args (@t17)) % 0.30/0.55 (step @p52 :rule trans :premises (@p51 @p31)) % 0.30/0.55 (step @p53 :rule cong :premises (@p52 @p7) :args (@t18)) % 0.30/0.55 (step @p54 :rule cong :premises (@p53) :args (@t19)) % 0.30/0.55 (step @p55 :rule eq_resolve :premises (@p1 @p54)) % 0.30/0.55 (step @p56 :rule not_implies_elim2 :premises (@p55)) % 0.30/0.55 (step @p57 :rule not_not_elim :premises (@p56)) % 0.30/0.55 (step @p58 :rule instantiate :premises (@p57) :args (@t51)) % 0.30/0.55 (step @p59 :rule not_implies_elim1 :premises (@p55)) % 0.30/0.55 (step @p60 :rule and_elim :premises (@p59) :args (0)) % 0.30/0.55 (step @p61 :rule instantiate :premises (@p60) :args (@t51)) % 0.30/0.55 (step @p62 :rule cnf_or_pos :args (@t56)) % 0.30/0.55 (step @p63 :rule reordering :premises (@p62) :args ((or @t53 @t55 (not @t56)))) % 0.30/0.55 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p58) :args (@t53 (@list false false) (@list @t54 @t56))) % 0.30/0.55 (step @p65 :rule refl :args (@t52)) % 0.30/0.55 (step @p66 :rule bool-double-not-elim :args (@t27)) % 0.30/0.55 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or (not @t28) @t52))) % 0.30/0.55 (step @p68 :rule bool-double-not-elim :args (@t52)) % 0.30/0.55 (step @p69 :rule refl :args (@t28)) % 0.30/0.55 (step @p70 :rule cong :premises (@p69 @p68) :args ((=> @t28 @t57))) % 0.30/0.55 (assume-push @p87 @t28) % 0.30/0.55 (step @p72 :rule skolemize :premises (@p87)) % 0.30/0.55 (step-pop @p88 :rule scope :premises (@p72)) % 0.30/0.55 (step @p73 :rule process_scope :premises (@p88) :args (@t57)) % 0.30/0.55 (step @p75 :rule eq_resolve :premises (@p73 @p70)) % 0.30/0.55 (step @p76 :rule implies_elim :premises (@p75)) % 0.30/0.55 (step @p77 :rule eq_resolve :premises (@p76 @p67)) % 0.30/0.55 (step @p78 :rule chain_m_resolution :premises (@p77 @p64) :args (@t27 (@list true) (@list @t52))) % 0.30/0.55 (step @p79 :rule and_elim :premises (@p59) :args (1)) % 0.30/0.55 (step @p80 :rule chain_m_resolution :premises (@p79 @p78) :args (@t25 (@list false) (@list @t27))) % 0.30/0.55 (assume-push @p89 @t25) % 0.30/0.55 (step @p82 :rule instantiate :premises (@p89) :args (@t51)) % 0.30/0.55 (step-pop @p90 :rule scope :premises (@p82)) % 0.30/0.55 (step @p83 :rule process_scope :premises (@p90) :args (@t52)) % 0.30/0.55 (step @p85 :rule implies_elim :premises (@p83)) % 0.30/0.55 (step @p86 false :rule chain_m_resolution :premises (@p85 @p80 @p64) :args (false (@list false true) (@list @t25 @t52))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------