%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET199^5 : TPTP v9.2.1. Released v4.0.0. % 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 08:47:38 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET199^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.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 15:12:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.31/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort tptp.a 0) % 0.31/0.55 (define @t1 () (@var "Xx" tptp.a)) % 0.31/0.55 (define @t2 () (@var "Y" (-> tptp.a Bool))) % 0.31/0.55 (define @t3 () (_ @t2 @t1)) % 0.31/0.55 (define @t4 () (@var "X" (-> tptp.a Bool))) % 0.31/0.55 (define @t5 () (_ @t4 @t1)) % 0.31/0.55 (define @t6 () (or @t5 @t3)) % 0.31/0.55 (define @t7 () (@var "Z" (-> tptp.a Bool))) % 0.31/0.55 (define @t8 () (_ @t7 @t1)) % 0.31/0.55 (define @t9 () (@list @t1)) % 0.31/0.55 (define @t10 () (forall @t9 (=> @t8 @t6))) % 0.31/0.55 (define @t11 () (forall @t9 (=> @t8 @t3))) % 0.31/0.55 (define @t12 () (forall @t9 (=> @t8 @t5))) % 0.31/0.55 (define @t13 () (and @t12 @t11)) % 0.31/0.55 (define @t14 () (=> @t13 @t10)) % 0.31/0.55 (define @t15 () (@list @t4 @t2 @t7)) % 0.31/0.55 (define @t16 () (forall @t15 @t14)) % 0.31/0.55 (define @t17 () (not @t16)) % 0.31/0.55 (define @t18 () (@var "BOUND_VARIABLE_7454" tptp.a)) % 0.31/0.55 (define @t19 () (_ @t2 @t18)) % 0.31/0.55 (define @t20 () (_ @t4 @t18)) % 0.31/0.55 (define @t21 () (not (_ @t7 @t18))) % 0.31/0.55 (define @t22 () (_ @t2 @t1)) % 0.31/0.55 (define @t23 () (_ @t7 @t1)) % 0.31/0.55 (define @t24 () (not @t23)) % 0.31/0.55 (define @t25 () (forall @t9 (or @t24 @t22))) % 0.31/0.55 (define @t26 () (not @t25)) % 0.31/0.55 (define @t27 () (_ @t4 @t1)) % 0.31/0.55 (define @t28 () (forall @t9 (or @t24 @t27))) % 0.31/0.55 (define @t29 () (not @t28)) % 0.31/0.55 (define @t30 () (or @t29 @t26 @t21 @t20 @t19)) % 0.31/0.55 (define @t31 () (or @t21 @t20 @t19)) % 0.31/0.55 (define @t32 () (or @t29 @t26 @t31)) % 0.31/0.55 (define @t33 () (@list @t4 @t2 @t7 @t18)) % 0.31/0.55 (define @t34 () (forall @t33 @t32)) % 0.31/0.55 (define @t35 () (@list @t18)) % 0.31/0.55 (define @t36 () (forall @t35 @t32)) % 0.31/0.55 (define @t37 () (forall @t35 @t31)) % 0.31/0.55 (define @t38 () (or @t29 @t26 @t37)) % 0.31/0.55 (define @t39 () (forall @t9 (or @t24 @t27 @t22))) % 0.31/0.55 (define @t40 () (or @t29 @t26 @t39)) % 0.31/0.55 (define @t41 () (and @t28 @t25)) % 0.31/0.55 (define @t42 () (not @t8)) % 0.31/0.55 (define @t43 () (or @t42 @t5 @t3)) % 0.31/0.55 (define @t44 () (or @t42 @t3)) % 0.31/0.55 (define @t45 () (or @t42 @t5)) % 0.31/0.55 (define @t46 () (forall @t33 @t30)) % 0.31/0.55 (define @t47 () (@quantifiers_skolemize @t46 0)) % 0.31/0.55 (define @t48 () (@quantifiers_skolemize @t46 2)) % 0.31/0.55 (define @t49 () (not (_ @t48 @t1))) % 0.31/0.55 (define @t50 () (forall @t9 (or @t49 (_ @t47 @t1)))) % 0.31/0.55 (define @t51 () (@quantifiers_skolemize @t46 3)) % 0.31/0.55 (define @t52 () (@quantifiers_skolemize @t46 1)) % 0.31/0.55 (define @t53 () (_ @t47 @t51)) % 0.31/0.55 (define @t54 () (_ @t48 @t51)) % 0.31/0.55 (define @t55 () (not @t54)) % 0.31/0.55 (define @t56 () (not @t50)) % 0.31/0.55 (define @t57 () (or @t56 (not (forall @t9 (or @t49 (_ @t52 @t1)))) @t55 @t53 (_ @t52 @t51))) % 0.31/0.55 (define @t58 () (@list true)) % 0.31/0.55 (define @t59 () (@list @t57)) % 0.31/0.55 (define @t60 () (or @t55 @t53)) % 0.31/0.55 (define @t61 () (not @t60)) % 0.31/0.55 (assume @p1 @t17) % 0.31/0.55 (assume @p2 true) % 0.31/0.55 (step @p3 :rule aci_norm :args ((= @t32 @t30))) % 0.31/0.55 (step @p4 :rule cong :premises (@p3) :args (@t34)) % 0.31/0.55 (step @p5 :rule quant-merge-prenex :args ((= (forall @t15 @t36) @t34))) % 0.31/0.55 (step @p6 :rule alpha_equiv :args (@t37 (@list @t18) (@list @t1))) % 0.31/0.55 (step @p7 :rule refl :args (@t26)) % 0.31/0.55 (step @p8 :rule refl :args (@t29)) % 0.31/0.55 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t38)) % 0.31/0.55 (step @p10 :rule quant-miniscope-or :args ((= @t36 @t38))) % 0.31/0.55 (step @p11 :rule trans :premises (@p10 @p9)) % 0.31/0.55 (step @p12 :rule symm :premises (@p11)) % 0.31/0.55 (step @p13 :rule cong :premises (@p12) :args ((forall @t15 @t40))) % 0.31/0.55 (step @p14 :rule trans :premises (@p13 @p5)) % 0.31/0.55 (step @p15 :rule trans :premises (@p14 @p4)) % 0.31/0.55 (step @p16 :rule aci_norm :args ((= (or (or @t29 @t26) @t39) @t40))) % 0.31/0.55 (step @p17 :rule refl :args (@t39)) % 0.31/0.55 (step @p18 :rule bool-and-de-morgan :args (@t28 @t25 true)) % 0.31/0.55 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t41) @t39))) % 0.31/0.55 (step @p20 :rule trans :premises (@p19 @p16)) % 0.31/0.55 (step @p21 :rule bool-impl-elim :args (@t41 @t39)) % 0.31/0.55 (step @p22 :rule trans :premises (@p21 @p20)) % 0.31/0.55 (step @p23 :rule cong :premises (@p22) :args ((forall @t15 (=> @t41 @t39)))) % 0.31/0.55 (step @p24 :rule trans :premises (@p23 @p15)) % 0.31/0.55 (step @p25 :rule refl :args (@t22)) % 0.31/0.55 (step @p26 :rule refl :args (@t3)) % 0.31/0.55 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t3 @t22))) % 0.31/0.55 (step @p28 :rule symm :premises (@p27)) % 0.31/0.55 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.31/0.55 (step @p30 :rule refl :args (@t27)) % 0.31/0.55 (step @p31 :rule refl :args (@t5)) % 0.31/0.55 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t5 @t27))) % 0.31/0.55 (step @p33 :rule symm :premises (@p32)) % 0.31/0.55 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.31/0.55 (step @p35 :rule refl :args (@t23)) % 0.31/0.55 (step @p36 :rule refl :args (@t8)) % 0.31/0.55 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t8 @t23))) % 0.31/0.55 (step @p38 :rule symm :premises (@p37)) % 0.31/0.55 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.31/0.55 (step @p40 :rule cong :premises (@p39) :args (@t42)) % 0.31/0.55 (step @p41 :rule nary_cong :premises (@p40 @p34 @p29) :args (@t43)) % 0.31/0.55 (step @p42 :rule cong :premises (@p41) :args ((forall @t9 @t43))) % 0.31/0.55 (step @p43 :rule aci_norm :args ((= (or @t42 @t6) @t43))) % 0.31/0.55 (step @p44 :rule bool-impl-elim :args (@t8 @t6)) % 0.31/0.55 (step @p45 :rule trans :premises (@p44 @p43)) % 0.31/0.55 (step @p46 :rule cong :premises (@p45) :args (@t10)) % 0.31/0.55 (step @p47 :rule trans :premises (@p46 @p42)) % 0.31/0.55 (step @p48 :rule nary_cong :premises (@p40 @p29) :args (@t44)) % 0.31/0.55 (step @p49 :rule cong :premises (@p48) :args ((forall @t9 @t44))) % 0.31/0.55 (step @p50 :rule bool-impl-elim :args (@t8 @t3)) % 0.31/0.55 (step @p51 :rule cong :premises (@p50) :args (@t11)) % 0.31/0.55 (step @p52 :rule trans :premises (@p51 @p49)) % 0.31/0.55 (step @p53 :rule nary_cong :premises (@p40 @p34) :args (@t45)) % 0.31/0.55 (step @p54 :rule cong :premises (@p53) :args ((forall @t9 @t45))) % 0.31/0.55 (step @p55 :rule bool-impl-elim :args (@t8 @t5)) % 0.31/0.55 (step @p56 :rule cong :premises (@p55) :args (@t12)) % 0.31/0.55 (step @p57 :rule trans :premises (@p56 @p54)) % 0.31/0.55 (step @p58 :rule nary_cong :premises (@p57 @p52) :args (@t13)) % 0.31/0.55 (step @p59 :rule cong :premises (@p58 @p47) :args (@t14)) % 0.31/0.55 (step @p60 :rule cong :premises (@p59) :args (@t16)) % 0.31/0.55 (step @p61 :rule trans :premises (@p60 @p24)) % 0.31/0.55 (step @p62 :rule cong :premises (@p61) :args (@t17)) % 0.31/0.55 (step @p63 :rule eq_resolve :premises (@p1 @p62)) % 0.31/0.55 (step @p64 :rule skolemize :premises (@p63)) % 0.31/0.55 (step @p65 :rule bool-double-not-elim :args (@t50)) % 0.31/0.55 (step @p66 :rule refl :args (@t57)) % 0.31/0.55 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t57 (not @t56)))) % 0.31/0.55 (step @p68 :rule cnf_or_neg :args (@t57 0)) % 0.31/0.55 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.31/0.55 (step @p70 :rule reordering :premises (@p69) :args ((or @t50 @t57))) % 0.31/0.55 (step @p71 :rule chain_m_resolution :premises (@p70 @p64) :args (@t50 @t58 @t59)) % 0.31/0.55 (step @p72 :rule cnf_or_neg :args (@t57 3)) % 0.31/0.55 (step @p73 :rule chain_m_resolution :premises (@p72 @p64) :args ((not @t53) @t58 @t59)) % 0.31/0.55 (step @p74 :rule bool-double-not-elim :args (@t54)) % 0.31/0.55 (step @p75 :rule nary_cong :premises (@p66 @p74) :args ((or @t57 (not @t55)))) % 0.31/0.55 (step @p76 :rule cnf_or_neg :args (@t57 2)) % 0.31/0.55 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.31/0.55 (step @p78 :rule reordering :premises (@p77) :args ((or @t54 @t57))) % 0.31/0.55 (step @p79 :rule chain_m_resolution :premises (@p78 @p64) :args (@t54 @t58 @t59)) % 0.31/0.55 (step @p80 :rule cnf_or_pos :args (@t60)) % 0.31/0.55 (step @p81 :rule reordering :premises (@p80) :args ((or @t55 @t53 @t61))) % 0.31/0.55 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p73) :args (@t61 (@list false true) (@list @t54 @t53))) % 0.31/0.55 (assume-push @p89 @t50) % 0.31/0.55 (step @p84 :rule instantiate :premises (@p71) :args ((@list @t51))) % 0.31/0.55 (step-pop @p90 :rule scope :premises (@p84)) % 0.31/0.55 (step @p85 :rule process_scope :premises (@p90) :args (@t60)) % 0.31/0.55 (step @p87 :rule implies_elim :premises (@p85)) % 0.31/0.55 (step @p88 false :rule chain_m_resolution :premises (@p87 @p82 @p71) :args (false (@list true false) (@list @t60 @t50))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------