%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO133^5 : 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 : n026.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 09:12:05 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SYO133^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n026.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 23:59:40 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.37/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.cP1 (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.cP2 (-> $$unsorted Bool)) % 0.37/0.62 (define @t1 () (@var "Xy" $$unsorted)) % 0.37/0.62 (define @t2 () (_ tptp.cP2 @t1)) % 0.37/0.62 (define @t3 () (@var "Xx" $$unsorted)) % 0.37/0.62 (define @t4 () (_ tptp.cP2 @t3)) % 0.37/0.62 (define @t5 () (_ tptp.cP1 @t1)) % 0.37/0.62 (define @t6 () (=> @t5 @t4)) % 0.37/0.62 (define @t7 () (_ tptp.cP1 @t3)) % 0.37/0.62 (define @t8 () (and @t7 @t6)) % 0.37/0.62 (define @t9 () (@list @t3)) % 0.37/0.62 (define @t10 () (forall @t9 (=> @t8 @t2))) % 0.37/0.62 (define @t11 () (@list @t1)) % 0.37/0.62 (define @t12 () (exists @t11 @t10)) % 0.37/0.62 (define @t13 () (not @t12)) % 0.37/0.62 (define @t14 () (tptp.cP2 @t3)) % 0.37/0.62 (define @t15 () (not @t14)) % 0.37/0.62 (define @t16 () (@var "BOUND_VARIABLE_7456" $$unsorted)) % 0.37/0.62 (define @t17 () (tptp.cP1 @t3)) % 0.37/0.62 (define @t18 () (not @t17)) % 0.37/0.62 (define @t19 () (forall (@list @t16) (not (forall @t9 (or @t18 (and (tptp.cP1 @t16) @t15)))))) % 0.37/0.62 (define @t20 () (@var "BOUND_VARIABLE_7450" $$unsorted)) % 0.37/0.62 (define @t21 () (tptp.cP2 @t20)) % 0.37/0.62 (define @t22 () (@list @t20)) % 0.37/0.62 (define @t23 () (forall @t22 (not @t21))) % 0.37/0.62 (define @t24 () (_ tptp.cP2 @t20)) % 0.37/0.62 (define @t25 () (not @t24)) % 0.37/0.62 (define @t26 () (forall @t22 @t25)) % 0.37/0.62 (define @t27 () (tptp.cP1 @t1)) % 0.37/0.62 (define @t28 () (forall @t9 (or @t18 (and @t27 @t15)))) % 0.37/0.62 (define @t29 () (not @t28)) % 0.37/0.62 (define @t30 () (forall @t11 @t29)) % 0.37/0.62 (define @t31 () (@list @t1)) % 0.37/0.62 (define @t32 () (not @t2)) % 0.37/0.62 (define @t33 () (forall @t11 @t32)) % 0.37/0.62 (define @t34 () (and @t33 @t30)) % 0.37/0.62 (define @t35 () (or @t2 @t28)) % 0.37/0.62 (define @t36 () (forall @t11 (not @t35))) % 0.37/0.62 (define @t37 () (not @t36)) % 0.37/0.62 (define @t38 () (not @t4)) % 0.37/0.62 (define @t39 () (and @t5 @t38)) % 0.37/0.62 (define @t40 () (not @t7)) % 0.37/0.62 (define @t41 () (or @t40 @t39)) % 0.37/0.62 (define @t42 () (forall @t9 @t41)) % 0.37/0.62 (define @t43 () (or @t2 @t42)) % 0.37/0.62 (define @t44 () (or @t2 @t41)) % 0.37/0.62 (define @t45 () (or @t40 @t39 @t2)) % 0.37/0.62 (define @t46 () (@const 0 $$unsorted)) % 0.37/0.62 (define @t47 () (tptp.cP1 @t46)) % 0.37/0.62 (define @t48 () (@quantifiers_skolemize (forall @t9 (or @t18 (and @t47 @t15))) 0)) % 0.37/0.62 (define @t49 () (tptp.cP1 @t48)) % 0.37/0.62 (define @t50 () (@quantifiers_skolemize (forall @t9 (or @t18 (and @t49 @t15))) 0)) % 0.37/0.62 (define @t51 () (tptp.cP2 @t50)) % 0.37/0.62 (define @t52 () (not @t51)) % 0.37/0.62 (define @t53 () (and @t49 @t52)) % 0.37/0.62 (define @t54 () (or (not (tptp.cP1 @t50)) @t53)) % 0.37/0.62 (define @t55 () (@list true)) % 0.37/0.62 (define @t56 () (not @t49)) % 0.37/0.62 (define @t57 () (or @t56 (and @t47 (not (tptp.cP2 @t48))))) % 0.37/0.62 (assume @p1 @t13) % 0.37/0.62 (assume @p2 true) % 0.37/0.62 (step @p3 :rule bool-double-not-elim :args ((and @t23 @t19))) % 0.37/0.62 (step @p4 :rule refl :args (@t19)) % 0.37/0.62 (step @p5 :rule refl :args (@t21)) % 0.37/0.62 (step @p6 :rule refl :args (@t24)) % 0.37/0.62 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t24 @t21))) % 0.37/0.62 (step @p8 :rule symm :premises (@p7)) % 0.37/0.62 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.37/0.62 (step @p10 :rule cong :premises (@p9) :args (@t25)) % 0.37/0.62 (step @p11 :rule cong :premises (@p10) :args (@t26)) % 0.37/0.62 (step @p12 :rule nary_cong :premises (@p11 @p4) :args ((and @t26 @t19))) % 0.37/0.62 (step @p13 :rule alpha_equiv :args (@t30 @t31 (@list @t16))) % 0.37/0.62 (step @p14 :rule alpha_equiv :args (@t33 @t31 (@list @t20))) % 0.37/0.62 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t34)) % 0.37/0.62 (step @p16 :rule quant-miniscope-and :args ((= (forall @t11 (and @t32 @t29)) @t34))) % 0.37/0.62 (step @p17 :rule trans :premises (@p16 @p15)) % 0.37/0.62 (step @p18 :rule trans :premises (@p17 @p12)) % 0.37/0.62 (step @p19 :rule bool-or-de-morgan :args (@t2 @t28 false)) % 0.37/0.62 (step @p20 :rule cong :premises (@p19) :args (@t36)) % 0.37/0.62 (step @p21 :rule trans :premises (@p20 @p18)) % 0.37/0.62 (step @p22 :rule cong :premises (@p21) :args (@t37)) % 0.37/0.62 (step @p23 :rule exists-elim :args ((= (exists @t11 @t35) @t37))) % 0.37/0.62 (step @p24 :rule trans :premises (@p23 @p22)) % 0.37/0.62 (step @p25 :rule refl :args (@t14)) % 0.37/0.62 (step @p26 :rule refl :args (@t4)) % 0.37/0.62 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t4 @t14))) % 0.37/0.62 (step @p28 :rule symm :premises (@p27)) % 0.37/0.62 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.37/0.62 (step @p30 :rule cong :premises (@p29) :args (@t38)) % 0.37/0.62 (step @p31 :rule refl :args (@t27)) % 0.37/0.62 (step @p32 :rule refl :args (@t5)) % 0.37/0.62 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t5 @t27))) % 0.37/0.62 (step @p34 :rule symm :premises (@p33)) % 0.37/0.62 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.37/0.62 (step @p36 :rule nary_cong :premises (@p35 @p30) :args (@t39)) % 0.37/0.62 (step @p37 :rule refl :args (@t17)) % 0.37/0.62 (step @p38 :rule refl :args (@t7)) % 0.37/0.62 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t7 @t17))) % 0.37/0.62 (step @p40 :rule symm :premises (@p39)) % 0.37/0.62 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.37/0.62 (step @p42 :rule cong :premises (@p41) :args (@t40)) % 0.37/0.62 (step @p43 :rule nary_cong :premises (@p42 @p36) :args (@t41)) % 0.37/0.62 (step @p44 :rule cong :premises (@p43) :args (@t42)) % 0.37/0.62 (step @p45 :rule refl :args (@t2)) % 0.37/0.62 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t43)) % 0.37/0.62 (step @p47 :rule quant-miniscope-or :args ((= (forall @t9 @t44) @t43))) % 0.37/0.62 (step @p48 :rule aci_norm :args ((= @t45 @t44))) % 0.37/0.62 (step @p49 :rule cong :premises (@p48) :args ((forall @t9 @t45))) % 0.37/0.62 (step @p50 :rule trans :premises (@p49 @p47)) % 0.37/0.62 (step @p51 :rule trans :premises (@p50 @p46)) % 0.37/0.62 (step @p52 :rule aci_norm :args ((= (or @t41 @t2) @t45))) % 0.37/0.62 (step @p53 :rule refl :args (@t2)) % 0.37/0.62 (step @p54 :rule bool-implies-de-morgan :args (@t5 @t4)) % 0.37/0.62 (step @p55 :rule refl :args (@t40)) % 0.37/0.62 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t40 (not @t6)))) % 0.37/0.62 (step @p57 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.37/0.62 (step @p58 :rule trans :premises (@p57 @p56)) % 0.37/0.62 (step @p59 :rule nary_cong :premises (@p58 @p53) :args ((or (not @t8) @t2))) % 0.37/0.62 (step @p60 :rule trans :premises (@p59 @p52)) % 0.37/0.62 (step @p61 :rule bool-impl-elim :args (@t8 @t2)) % 0.37/0.62 (step @p62 :rule trans :premises (@p61 @p60)) % 0.37/0.62 (step @p63 :rule cong :premises (@p62) :args (@t10)) % 0.37/0.62 (step @p64 :rule trans :premises (@p63 @p51)) % 0.37/0.62 (step @p65 :rule cong :premises (@p64) :args (@t12)) % 0.37/0.62 (step @p66 :rule trans :premises (@p65 @p24)) % 0.37/0.62 (step @p67 :rule cong :premises (@p66) :args (@t13)) % 0.37/0.62 (step @p68 :rule trans :premises (@p67 @p3)) % 0.37/0.62 (step @p69 :rule eq_resolve :premises (@p1 @p68)) % 0.37/0.62 (step @p70 :rule and_elim :premises (@p69) :args (0)) % 0.37/0.62 (step @p71 :rule and_elim :premises (@p69) :args (1)) % 0.37/0.62 (step @p72 :rule instantiate :premises (@p71) :args ((@list @t48))) % 0.37/0.62 (step @p73 :rule skolemize :premises (@p72)) % 0.37/0.62 (step @p74 :rule cnf_or_neg :args (@t54 1)) % 0.37/0.62 (step @p75 :rule chain_m_resolution :premises (@p74 @p73) :args ((not @t53) @t55 (@list @t54))) % 0.37/0.62 (step @p76 :rule instantiate :premises (@p71) :args ((@list @t46))) % 0.37/0.62 (step @p77 :rule skolemize :premises (@p76)) % 0.37/0.62 (step @p78 :rule bool-double-not-elim :args (@t49)) % 0.37/0.62 (step @p79 :rule refl :args (@t57)) % 0.37/0.62 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t57 (not @t56)))) % 0.37/0.62 (step @p81 :rule cnf_or_neg :args (@t57 0)) % 0.37/0.62 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.37/0.62 (step @p83 :rule reordering :premises (@p82) :args ((or @t49 @t57))) % 0.37/0.62 (step @p84 :rule chain_m_resolution :premises (@p83 @p77) :args (@t49 @t55 (@list @t57))) % 0.37/0.62 (step @p85 :rule bool-double-not-elim :args (@t51)) % 0.37/0.62 (step @p86 :rule refl :args (@t56)) % 0.37/0.62 (step @p87 :rule refl :args (@t53)) % 0.37/0.62 (step @p88 :rule nary_cong :premises (@p87 @p86 @p85) :args ((or @t53 @t56 (not @t52)))) % 0.37/0.62 (step @p89 :rule cnf_and_neg :args (@t53)) % 0.37/0.62 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.37/0.62 (step @p91 :rule reordering :premises (@p90) :args ((or @t56 @t51 @t53))) % 0.37/0.62 (step @p92 :rule chain_m_resolution :premises (@p91 @p84 @p75) :args (@t51 (@list false true) (@list @t49 @t53))) % 0.37/0.62 (assume-push @p99 @t23) % 0.37/0.62 (step @p94 :rule instantiate :premises (@p70) :args ((@list @t50))) % 0.37/0.62 (step-pop @p100 :rule scope :premises (@p94)) % 0.37/0.62 (step @p95 :rule process_scope :premises (@p100) :args (@t52)) % 0.37/0.62 (step @p97 :rule implies_elim :premises (@p95)) % 0.37/0.62 (step @p98 false :rule chain_m_resolution :premises (@p97 @p92 @p70) :args (false (@list false false) (@list @t51 @t23))) % 0.37/0.62 ) % 0.37/0.62 % SZS output end Proof % 0.37/0.62 % cvc5 exiting %------------------------------------------------------------------------------