%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYN065+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 : n010.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 09:07:58 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN065+1 : TPTP v9.2.1. Released v2.0.0. % 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 : n010.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 23:19:40 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.big_h (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.big_g (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.big_f (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (define @t1 () (@var "Y" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "X" $$unsorted)) % 0.38/0.59 (define @t3 () (tptp.big_f @t2 @t1)) % 0.38/0.59 (define @t4 () (@list @t1)) % 0.38/0.59 (define @t5 () (exists @t4 @t3)) % 0.38/0.59 (define @t6 () (@list @t2)) % 0.38/0.59 (define @t7 () (forall @t6 @t5)) % 0.38/0.59 (define @t8 () (tptp.big_g @t2 @t1)) % 0.38/0.59 (define @t9 () (exists @t4 @t8)) % 0.38/0.59 (define @t10 () (forall @t6 @t9)) % 0.38/0.59 (define @t11 () (@var "Z" $$unsorted)) % 0.38/0.59 (define @t12 () (tptp.big_h @t2 @t11)) % 0.38/0.59 (define @t13 () (tptp.big_g @t1 @t11)) % 0.38/0.59 (define @t14 () (tptp.big_f @t1 @t11)) % 0.38/0.59 (define @t15 () (or @t14 @t13)) % 0.38/0.59 (define @t16 () (@list @t11)) % 0.38/0.59 (define @t17 () (forall @t16 (=> @t15 @t12))) % 0.38/0.59 (define @t18 () (or @t3 @t8)) % 0.38/0.59 (define @t19 () (=> @t18 @t17)) % 0.38/0.59 (define @t20 () (@list @t2 @t1)) % 0.38/0.59 (define @t21 () (forall @t20 @t19)) % 0.38/0.59 (define @t22 () (tptp.big_h @t2 @t1)) % 0.38/0.59 (define @t23 () (exists @t4 @t22)) % 0.38/0.59 (define @t24 () (forall @t6 @t23)) % 0.38/0.59 (define @t25 () (not @t24)) % 0.38/0.59 (define @t26 () (not (forall @t4 (not @t22)))) % 0.38/0.59 (define @t27 () (forall @t6 @t26)) % 0.38/0.59 (define @t28 () (@quantifiers_skolemize @t27 0)) % 0.38/0.59 (define @t29 () (forall @t4 (not (tptp.big_h @t28 @t1)))) % 0.38/0.59 (define @t30 () (not @t27)) % 0.38/0.59 (define @t31 () (not (not @t29))) % 0.38/0.59 (define @t32 () (@list true)) % 0.38/0.59 (define @t33 () (@var "BOUND_VARIABLE_7459" $$unsorted)) % 0.38/0.59 (define @t34 () (tptp.big_h @t2 @t33)) % 0.38/0.59 (define @t35 () (and (not (tptp.big_f @t1 @t33)) (not (tptp.big_g @t1 @t33)))) % 0.38/0.59 (define @t36 () (not @t8)) % 0.38/0.59 (define @t37 () (not @t3)) % 0.38/0.59 (define @t38 () (and @t37 @t36)) % 0.38/0.59 (define @t39 () (or @t35 @t34)) % 0.38/0.59 (define @t40 () (or @t38 @t39)) % 0.38/0.59 (define @t41 () (forall (@list @t2 @t1 @t33) @t40)) % 0.38/0.59 (define @t42 () (@list @t33)) % 0.38/0.59 (define @t43 () (forall @t42 @t40)) % 0.38/0.59 (define @t44 () (forall @t42 @t39)) % 0.38/0.59 (define @t45 () (or @t38 @t44)) % 0.38/0.59 (define @t46 () (forall @t16 (or (and (not @t14) (not @t13)) @t12))) % 0.38/0.59 (define @t47 () (forall @t4 (not (tptp.big_f @t28 @t1)))) % 0.38/0.59 (define @t48 () (@quantifiers_skolemize @t47 0)) % 0.38/0.59 (define @t49 () (forall @t4 (not (tptp.big_g @t48 @t1)))) % 0.38/0.59 (define @t50 () (@quantifiers_skolemize @t49 0)) % 0.38/0.59 (define @t51 () (tptp.big_g @t48 @t50)) % 0.38/0.59 (define @t52 () (not @t49)) % 0.38/0.59 (define @t53 () (not @t51)) % 0.38/0.59 (define @t54 () (not @t53)) % 0.38/0.59 (define @t55 () (and (not (tptp.big_f @t48 @t50)) @t53)) % 0.38/0.59 (define @t56 () (not @t55)) % 0.38/0.59 (define @t57 () (@list false)) % 0.38/0.59 (define @t58 () (tptp.big_f @t28 @t48)) % 0.38/0.59 (define @t59 () (not @t47)) % 0.38/0.59 (define @t60 () (not @t58)) % 0.38/0.59 (define @t61 () (not @t60)) % 0.38/0.59 (define @t62 () (and @t60 (not (tptp.big_g @t28 @t48)))) % 0.38/0.59 (define @t63 () (not @t62)) % 0.38/0.59 (define @t64 () (tptp.big_h @t28 @t50)) % 0.38/0.59 (define @t65 () (or @t62 @t55 @t64)) % 0.38/0.59 (assume @p1 @t7) % 0.38/0.59 (assume @p2 @t10) % 0.38/0.59 (assume @p3 @t21) % 0.38/0.59 (assume @p4 @t25) % 0.38/0.59 (assume @p5 true) % 0.38/0.59 (step @p6 :rule exists-elim :args ((= @t23 @t26))) % 0.38/0.59 (step @p7 :rule cong :premises (@p6) :args (@t24)) % 0.38/0.59 (step @p8 :rule cong :premises (@p7) :args (@t25)) % 0.38/0.59 (step @p9 :rule eq_resolve :premises (@p4 @p8)) % 0.38/0.59 (step @p10 :rule refl :args (@t29)) % 0.38/0.59 (step @p11 :rule bool-double-not-elim :args (@t27)) % 0.38/0.59 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or (not @t30) @t29))) % 0.38/0.59 (step @p13 :rule bool-double-not-elim :args (@t29)) % 0.38/0.59 (step @p14 :rule refl :args (@t30)) % 0.38/0.59 (step @p15 :rule cong :premises (@p14 @p13) :args ((=> @t30 @t31))) % 0.38/0.59 (assume-push @p106 @t30) % 0.38/0.59 (step @p17 :rule skolemize :premises (@p9)) % 0.38/0.59 (step-pop @p107 :rule scope :premises (@p17)) % 0.38/0.59 (step @p18 :rule process_scope :premises (@p107) :args (@t31)) % 0.38/0.59 (step @p20 :rule eq_resolve :premises (@p18 @p15)) % 0.38/0.59 (step @p21 :rule implies_elim :premises (@p20)) % 0.38/0.59 (step @p22 :rule eq_resolve :premises (@p21 @p12)) % 0.38/0.59 (step @p23 :rule chain_m_resolution :premises (@p22 @p9) :args (@t29 @t32 (@list @t27))) % 0.38/0.59 (step @p24 :rule aci_norm :args ((= @t40 (or @t38 @t35 @t34)))) % 0.38/0.59 (step @p25 :rule cong :premises (@p24) :args (@t41)) % 0.38/0.59 (step @p26 :rule quant-merge-prenex :args ((= (forall @t20 @t43) @t41))) % 0.38/0.59 (step @p27 :rule alpha_equiv :args (@t44 (@list @t33) (@list @t11))) % 0.38/0.59 (step @p28 :rule refl :args (@t38)) % 0.38/0.59 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t45)) % 0.38/0.59 (step @p30 :rule quant-miniscope-or :args ((= @t43 @t45))) % 0.38/0.59 (step @p31 :rule trans :premises (@p30 @p29)) % 0.38/0.59 (step @p32 :rule symm :premises (@p31)) % 0.38/0.59 (step @p33 :rule cong :premises (@p32) :args ((forall @t20 (or @t38 @t46)))) % 0.38/0.59 (step @p34 :rule trans :premises (@p33 @p26)) % 0.38/0.59 (step @p35 :rule trans :premises (@p34 @p25)) % 0.38/0.59 (step @p36 :rule refl :args (@t46)) % 0.38/0.59 (step @p37 :rule bool-or-de-morgan :args (@t3 @t8 false)) % 0.38/0.59 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or (not @t18) @t46))) % 0.38/0.59 (step @p39 :rule bool-impl-elim :args (@t18 @t46)) % 0.38/0.59 (step @p40 :rule trans :premises (@p39 @p38)) % 0.38/0.59 (step @p41 :rule cong :premises (@p40) :args ((forall @t20 (=> @t18 @t46)))) % 0.38/0.59 (step @p42 :rule trans :premises (@p41 @p35)) % 0.38/0.59 (step @p43 :rule refl :args (@t12)) % 0.38/0.59 (step @p44 :rule bool-or-de-morgan :args (@t14 @t13 false)) % 0.38/0.59 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or (not @t15) @t12))) % 0.38/0.59 (step @p46 :rule bool-impl-elim :args (@t15 @t12)) % 0.38/0.59 (step @p47 :rule trans :premises (@p46 @p45)) % 0.38/0.59 (step @p48 :rule cong :premises (@p47) :args (@t17)) % 0.38/0.59 (step @p49 :rule refl :args (@t18)) % 0.38/0.59 (step @p50 :rule cong :premises (@p49 @p48) :args (@t19)) % 0.38/0.59 (step @p51 :rule cong :premises (@p50) :args (@t21)) % 0.38/0.59 (step @p52 :rule trans :premises (@p51 @p42)) % 0.38/0.59 (step @p53 :rule eq_resolve :premises (@p3 @p52)) % 0.38/0.59 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t28 @t48 @t50))) % 0.38/0.59 (step @p55 :rule exists-elim :args ((= @t9 (not (forall @t4 @t36))))) % 0.38/0.59 (step @p56 :rule cong :premises (@p55) :args (@t10)) % 0.38/0.59 (step @p57 :rule eq_resolve :premises (@p2 @p56)) % 0.38/0.59 (step @p58 :rule instantiate :premises (@p57) :args ((@list @t48))) % 0.38/0.59 (step @p59 :rule refl :args (@t51)) % 0.38/0.59 (step @p60 :rule bool-double-not-elim :args (@t49)) % 0.38/0.59 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or (not @t52) @t51))) % 0.38/0.59 (step @p62 :rule bool-double-not-elim :args (@t51)) % 0.38/0.59 (step @p63 :rule refl :args (@t52)) % 0.38/0.59 (step @p64 :rule cong :premises (@p63 @p62) :args ((=> @t52 @t54))) % 0.38/0.59 (assume-push @p108 @t52) % 0.38/0.59 (step @p66 :rule skolemize :premises (@p58)) % 0.38/0.59 (step-pop @p109 :rule scope :premises (@p66)) % 0.38/0.59 (step @p67 :rule process_scope :premises (@p109) :args (@t54)) % 0.38/0.59 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 0.38/0.59 (step @p70 :rule implies_elim :premises (@p69)) % 0.38/0.59 (step @p71 :rule eq_resolve :premises (@p70 @p61)) % 0.38/0.59 (step @p72 :rule chain_m_resolution :premises (@p71 @p58) :args (@t51 @t32 (@list @t49))) % 0.38/0.59 (step @p73 :rule cnf_and_pos :args (@t55 1)) % 0.38/0.59 (step @p74 :rule reordering :premises (@p73) :args ((or @t53 @t56))) % 0.38/0.59 (step @p75 :rule chain_m_resolution :premises (@p74 @p72) :args (@t56 @t57 (@list @t51))) % 0.38/0.59 (step @p76 :rule exists-elim :args ((= @t5 (not (forall @t4 @t37))))) % 0.38/0.59 (step @p77 :rule cong :premises (@p76) :args (@t7)) % 0.38/0.59 (step @p78 :rule eq_resolve :premises (@p1 @p77)) % 0.38/0.59 (step @p79 :rule instantiate :premises (@p78) :args ((@list @t28))) % 0.38/0.59 (step @p80 :rule refl :args (@t58)) % 0.38/0.59 (step @p81 :rule bool-double-not-elim :args (@t47)) % 0.38/0.59 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or (not @t59) @t58))) % 0.38/0.59 (step @p83 :rule bool-double-not-elim :args (@t58)) % 0.38/0.59 (step @p84 :rule refl :args (@t59)) % 0.38/0.59 (step @p85 :rule cong :premises (@p84 @p83) :args ((=> @t59 @t61))) % 0.38/0.59 (assume-push @p110 @t59) % 0.38/0.59 (step @p87 :rule skolemize :premises (@p79)) % 0.38/0.59 (step-pop @p111 :rule scope :premises (@p87)) % 0.38/0.59 (step @p88 :rule process_scope :premises (@p111) :args (@t61)) % 0.38/0.59 (step @p90 :rule eq_resolve :premises (@p88 @p85)) % 0.38/0.59 (step @p91 :rule implies_elim :premises (@p90)) % 0.38/0.59 (step @p92 :rule eq_resolve :premises (@p91 @p82)) % 0.38/0.59 (step @p93 :rule chain_m_resolution :premises (@p92 @p79) :args (@t58 @t32 (@list @t47))) % 0.38/0.59 (step @p94 :rule cnf_and_pos :args (@t62 0)) % 0.38/0.59 (step @p95 :rule reordering :premises (@p94) :args ((or @t60 @t63))) % 0.38/0.59 (step @p96 :rule chain_m_resolution :premises (@p95 @p93) :args (@t63 @t57 (@list @t58))) % 0.38/0.59 (step @p97 :rule cnf_or_pos :args (@t65)) % 0.38/0.59 (step @p98 :rule reordering :premises (@p97) :args ((or @t62 @t55 @t64 (not @t65)))) % 0.38/0.59 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p75 @p54) :args (@t64 (@list true true false) (@list @t62 @t55 @t65))) % 0.38/0.59 (assume-push @p112 @t29) % 0.38/0.59 (step @p101 :rule instantiate :premises (@p23) :args ((@list @t50))) % 0.38/0.59 (step-pop @p113 :rule scope :premises (@p101)) % 0.38/0.59 (step @p102 :rule process_scope :premises (@p113) :args ((not @t64))) % 0.38/0.59 (step @p104 :rule implies_elim :premises (@p102)) % 0.38/0.59 (step @p105 false :rule chain_m_resolution :premises (@p104 @p99 @p23) :args (false (@list false false) (@list @t64 @t29))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------