%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU928^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:53:33 AM UTC 2026 % Result : Theorem 0.36s 0.55s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU928^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.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 17:59:41 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.36/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.55 % SZS status Theorem % 0.36/0.55 % SZS output start Proof % 0.36/0.55 ( % 0.36/0.55 (declare-sort $$unsorted 0) % 0.36/0.55 (define @t1 () (@var "Xy" $$unsorted)) % 0.36/0.55 (define @t2 () (@var "Xx" $$unsorted)) % 0.36/0.55 (define @t3 () (= @t2 @t1)) % 0.36/0.55 (define @t4 () (@var "F" (-> $$unsorted $$unsorted))) % 0.36/0.55 (define @t5 () (_ @t4 @t1)) % 0.36/0.55 (define @t6 () (_ @t4 @t5)) % 0.36/0.55 (define @t7 () (_ @t4 @t2)) % 0.36/0.55 (define @t8 () (_ @t4 @t7)) % 0.36/0.55 (define @t9 () (= @t8 @t6)) % 0.36/0.55 (define @t10 () (@list @t2 @t1)) % 0.36/0.55 (define @t11 () (forall @t10 (=> @t9 @t3))) % 0.36/0.55 (define @t12 () (= @t7 @t5)) % 0.36/0.55 (define @t13 () (forall @t10 (=> @t12 @t3))) % 0.36/0.55 (define @t14 () (=> @t13 @t11)) % 0.36/0.55 (define @t15 () (@list @t4)) % 0.36/0.55 (define @t16 () (forall @t15 @t14)) % 0.36/0.55 (define @t17 () (not @t16)) % 0.36/0.55 (define @t18 () (@var "BOUND_VARIABLE_7453" $$unsorted)) % 0.36/0.55 (define @t19 () (@var "BOUND_VARIABLE_7451" $$unsorted)) % 0.36/0.55 (define @t20 () (= @t19 @t18)) % 0.36/0.55 (define @t21 () (not (= (_ @t4 (_ @t4 @t19)) (_ @t4 (_ @t4 @t18))))) % 0.36/0.55 (define @t22 () (_ @t4 @t1)) % 0.36/0.55 (define @t23 () (_ @t4 @t2)) % 0.36/0.55 (define @t24 () (forall @t10 (or (not (= @t23 @t22)) @t3))) % 0.36/0.55 (define @t25 () (not @t24)) % 0.36/0.55 (define @t26 () (or @t25 @t21 @t20)) % 0.36/0.55 (define @t27 () (or @t21 @t20)) % 0.36/0.55 (define @t28 () (or @t25 @t27)) % 0.36/0.55 (define @t29 () (@list @t4 @t19 @t18)) % 0.36/0.55 (define @t30 () (forall @t29 @t28)) % 0.36/0.55 (define @t31 () (@list @t19 @t18)) % 0.36/0.55 (define @t32 () (forall @t31 @t28)) % 0.36/0.55 (define @t33 () (forall @t31 @t27)) % 0.36/0.55 (define @t34 () (or @t25 @t33)) % 0.36/0.55 (define @t35 () (_ @t4 @t22)) % 0.36/0.55 (define @t36 () (_ @t4 @t23)) % 0.36/0.55 (define @t37 () (forall @t10 (or (not (= @t36 @t35)) @t3))) % 0.36/0.55 (define @t38 () (not @t9)) % 0.36/0.55 (define @t39 () (or @t38 @t3)) % 0.36/0.55 (define @t40 () (not @t12)) % 0.36/0.55 (define @t41 () (or @t40 @t3)) % 0.36/0.55 (define @t42 () (forall @t29 @t26)) % 0.36/0.55 (define @t43 () (@quantifiers_skolemize @t42 0)) % 0.36/0.55 (define @t44 () (forall @t10 (or (not (= (_ @t43 @t2) (_ @t43 @t1))) @t3))) % 0.36/0.55 (define @t45 () (@quantifiers_skolemize @t42 2)) % 0.36/0.55 (define @t46 () (@quantifiers_skolemize @t42 1)) % 0.36/0.55 (define @t47 () (= @t46 @t45)) % 0.36/0.55 (define @t48 () (_ @t43 @t45)) % 0.36/0.55 (define @t49 () (_ @t43 @t46)) % 0.36/0.55 (define @t50 () (= (_ @t43 @t49) (_ @t43 @t48))) % 0.36/0.55 (define @t51 () (not @t50)) % 0.36/0.55 (define @t52 () (not @t44)) % 0.36/0.55 (define @t53 () (or @t52 @t51 @t47)) % 0.36/0.55 (define @t54 () (@list true)) % 0.36/0.55 (define @t55 () (@list @t53)) % 0.36/0.55 (define @t56 () (= @t49 @t48)) % 0.36/0.55 (define @t57 () (or @t51 @t56)) % 0.36/0.55 (define @t58 () (not @t56)) % 0.36/0.55 (define @t59 () (or @t58 @t47)) % 0.36/0.55 (define @t60 () (not @t59)) % 0.36/0.55 (define @t61 () (@list true false)) % 0.36/0.55 (assume @p1 @t17) % 0.36/0.55 (assume @p2 true) % 0.36/0.55 (step @p3 :rule aci_norm :args ((= @t28 @t26))) % 0.36/0.55 (step @p4 :rule cong :premises (@p3) :args (@t30)) % 0.36/0.55 (step @p5 :rule quant-merge-prenex :args ((= (forall @t15 @t32) @t30))) % 0.36/0.55 (step @p6 :rule alpha_equiv :args (@t33 (@list @t19 @t18) (@list @t2 @t1))) % 0.36/0.55 (step @p7 :rule refl :args (@t25)) % 0.36/0.55 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t34)) % 0.36/0.55 (step @p9 :rule quant-miniscope-or :args ((= @t32 @t34))) % 0.36/0.55 (step @p10 :rule trans :premises (@p9 @p8)) % 0.36/0.55 (step @p11 :rule symm :premises (@p10)) % 0.36/0.55 (step @p12 :rule cong :premises (@p11) :args ((forall @t15 (or @t25 @t37)))) % 0.36/0.55 (step @p13 :rule trans :premises (@p12 @p5)) % 0.36/0.55 (step @p14 :rule trans :premises (@p13 @p4)) % 0.36/0.55 (step @p15 :rule bool-impl-elim :args (@t24 @t37)) % 0.36/0.55 (step @p16 :rule cong :premises (@p15) :args ((forall @t15 (=> @t24 @t37)))) % 0.36/0.55 (step @p17 :rule trans :premises (@p16 @p14)) % 0.36/0.55 (step @p18 :rule refl :args (@t3)) % 0.36/0.55 (step @p19 :rule refl :args ((_ @t4 @t5))) % 0.36/0.55 (step @p20 :rule refl :args (@t22)) % 0.36/0.55 (step @p21 :rule cong :premises (@p20) :args (@t35)) % 0.36/0.55 (step @p22 :rule trans :premises (@p21 @p19)) % 0.36/0.55 (step @p23 :rule refl :args (@t4)) % 0.36/0.55 (step @p24 :rule ho_cong :premises (@p23 @p20)) % 0.36/0.55 (step @p25 :rule cong :premises (@p24 @p22) :args ((= (_ @t4 @t22) @t35))) % 0.36/0.55 (step @p26 :rule symm :premises (@p25)) % 0.36/0.55 (step @p27 :rule refl :args (@t6)) % 0.36/0.55 (step @p28 :rule eq_resolve :premises (@p27 @p26)) % 0.36/0.55 (step @p29 :rule refl :args (@t5)) % 0.36/0.55 (step @p30 :rule cong :premises (@p29 @p20) :args ((= @t5 @t22))) % 0.36/0.55 (step @p31 :rule symm :premises (@p30)) % 0.36/0.55 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.36/0.55 (step @p33 :rule ho_cong :premises (@p23 @p32)) % 0.36/0.55 (step @p34 :rule trans :premises (@p33 @p28)) % 0.36/0.56 (step @p35 :rule refl :args ((_ @t4 @t7))) % 0.36/0.56 (step @p36 :rule refl :args (@t23)) % 0.36/0.56 (step @p37 :rule cong :premises (@p36) :args (@t36)) % 0.36/0.56 (step @p38 :rule trans :premises (@p37 @p35)) % 0.36/0.56 (step @p39 :rule ho_cong :premises (@p23 @p36)) % 0.36/0.56 (step @p40 :rule cong :premises (@p39 @p38) :args ((= (_ @t4 @t23) @t36))) % 0.36/0.56 (step @p41 :rule symm :premises (@p40)) % 0.36/0.56 (step @p42 :rule refl :args (@t8)) % 0.36/0.56 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.36/0.56 (step @p44 :rule refl :args (@t7)) % 0.36/0.56 (step @p45 :rule cong :premises (@p44 @p36) :args ((= @t7 @t23))) % 0.36/0.56 (step @p46 :rule symm :premises (@p45)) % 0.36/0.56 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.36/0.56 (step @p48 :rule ho_cong :premises (@p23 @p47)) % 0.36/0.56 (step @p49 :rule trans :premises (@p48 @p43)) % 0.36/0.56 (step @p50 :rule cong :premises (@p49 @p34) :args (@t9)) % 0.36/0.56 (step @p51 :rule cong :premises (@p50) :args (@t38)) % 0.36/0.56 (step @p52 :rule nary_cong :premises (@p51 @p18) :args (@t39)) % 0.36/0.56 (step @p53 :rule cong :premises (@p52) :args ((forall @t10 @t39))) % 0.36/0.56 (step @p54 :rule bool-impl-elim :args (@t9 @t3)) % 0.36/0.56 (step @p55 :rule cong :premises (@p54) :args (@t11)) % 0.36/0.56 (step @p56 :rule trans :premises (@p55 @p53)) % 0.36/0.56 (step @p57 :rule cong :premises (@p47 @p32) :args (@t12)) % 0.36/0.56 (step @p58 :rule cong :premises (@p57) :args (@t40)) % 0.36/0.56 (step @p59 :rule nary_cong :premises (@p58 @p18) :args (@t41)) % 0.36/0.56 (step @p60 :rule cong :premises (@p59) :args ((forall @t10 @t41))) % 0.36/0.56 (step @p61 :rule bool-impl-elim :args (@t12 @t3)) % 0.36/0.56 (step @p62 :rule cong :premises (@p61) :args (@t13)) % 0.36/0.56 (step @p63 :rule trans :premises (@p62 @p60)) % 0.36/0.56 (step @p64 :rule cong :premises (@p63 @p56) :args (@t14)) % 0.36/0.56 (step @p65 :rule cong :premises (@p64) :args (@t16)) % 0.36/0.56 (step @p66 :rule trans :premises (@p65 @p17)) % 0.36/0.56 (step @p67 :rule cong :premises (@p66) :args (@t17)) % 0.36/0.56 (step @p68 :rule eq_resolve :premises (@p1 @p67)) % 0.36/0.56 (step @p69 :rule skolemize :premises (@p68)) % 0.36/0.56 (step @p70 :rule bool-double-not-elim :args (@t44)) % 0.36/0.56 (step @p71 :rule refl :args (@t53)) % 0.36/0.56 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or @t53 (not @t52)))) % 0.36/0.56 (step @p73 :rule cnf_or_neg :args (@t53 0)) % 0.36/0.56 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.36/0.56 (step @p75 :rule reordering :premises (@p74) :args ((or @t44 @t53))) % 0.36/0.56 (step @p76 :rule chain_m_resolution :premises (@p75 @p69) :args (@t44 @t54 @t55)) % 0.36/0.56 (step @p77 :rule instantiate :premises (@p76) :args ((@list @t49 @t48))) % 0.36/0.56 (step @p78 :rule bool-double-not-elim :args (@t50)) % 0.36/0.56 (step @p79 :rule nary_cong :premises (@p71 @p78) :args ((or @t53 (not @t51)))) % 0.36/0.56 (step @p80 :rule cnf_or_neg :args (@t53 1)) % 0.36/0.56 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.36/0.56 (step @p82 :rule reordering :premises (@p81) :args ((or @t50 @t53))) % 0.36/0.56 (step @p83 :rule chain_m_resolution :premises (@p82 @p69) :args (@t50 @t54 @t55)) % 0.36/0.56 (step @p84 :rule cnf_or_pos :args (@t57)) % 0.36/0.56 (step @p85 :rule reordering :premises (@p84) :args ((or @t51 @t56 (not @t57)))) % 0.36/0.56 (step @p86 :rule chain_m_resolution :premises (@p85 @p83 @p77) :args (@t56 (@list false false) (@list @t50 @t57))) % 0.36/0.56 (step @p87 :rule cnf_or_neg :args (@t53 2)) % 0.36/0.56 (step @p88 :rule chain_m_resolution :premises (@p87 @p69) :args ((not @t47) @t54 @t55)) % 0.36/0.56 (step @p89 :rule cnf_or_pos :args (@t59)) % 0.36/0.56 (step @p90 :rule reordering :premises (@p89) :args ((or @t47 @t58 @t60))) % 0.36/0.56 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p86) :args (@t60 @t61 (@list @t47 @t56))) % 0.36/0.56 (assume-push @p98 @t44) % 0.36/0.56 (step @p93 :rule instantiate :premises (@p76) :args ((@list @t46 @t45))) % 0.36/0.56 (step-pop @p99 :rule scope :premises (@p93)) % 0.36/0.56 (step @p94 :rule process_scope :premises (@p99) :args (@t59)) % 0.36/0.56 (step @p96 :rule implies_elim :premises (@p94)) % 0.36/0.56 (step @p97 false :rule chain_m_resolution :premises (@p96 @p91 @p76) :args (false @t61 (@list @t59 @t44))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------