%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET626^5 : 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 : n016.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 08:48:17 AM UTC 2026 % Result : Theorem 0.29s 0.54s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SET626^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.33 % Computer : n016.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Tue Jun 2 16:05:54 EDT 2026 % 0.14/0.33 % CPUTime : % 0.29/0.48 %----Proving TH0 % 0.29/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.54 % SZS status Theorem % 0.29/0.54 % SZS output start Proof % 0.29/0.54 ( % 0.29/0.54 (declare-sort tptp.a 0) % 0.29/0.54 (declare-const tptp.cZ (-> tptp.a Bool)) % 0.29/0.54 (define @t1 () (@var "Xx" tptp.a)) % 0.29/0.54 (define @t2 () (@var "Y" (-> tptp.a Bool))) % 0.29/0.54 (define @t3 () (_ @t2 @t1)) % 0.29/0.54 (define @t4 () (@var "X" (-> tptp.a Bool))) % 0.29/0.54 (define @t5 () (_ @t4 @t1)) % 0.29/0.54 (define @t6 () (and @t5 @t3)) % 0.29/0.54 (define @t7 () (@list @t1)) % 0.29/0.54 (define @t8 () (exists @t7 @t6)) % 0.29/0.54 (define @t9 () (_ tptp.cZ @t1)) % 0.29/0.54 (define @t10 () (and @t5 @t3 @t9)) % 0.29/0.54 (define @t11 () (exists @t7 @t10)) % 0.29/0.54 (define @t12 () (=> @t11 @t8)) % 0.29/0.54 (define @t13 () (@list @t4 @t2)) % 0.29/0.54 (define @t14 () (forall @t13 @t12)) % 0.29/0.54 (define @t15 () (not @t14)) % 0.29/0.54 (define @t16 () (@var "BOUND_VARIABLE_7453" tptp.a)) % 0.29/0.54 (define @t17 () (not (tptp.cZ @t16))) % 0.29/0.54 (define @t18 () (not (_ @t2 @t16))) % 0.29/0.54 (define @t19 () (not (_ @t4 @t16))) % 0.29/0.54 (define @t20 () (_ @t2 @t1)) % 0.29/0.54 (define @t21 () (not @t20)) % 0.29/0.54 (define @t22 () (_ @t4 @t1)) % 0.29/0.54 (define @t23 () (not @t22)) % 0.29/0.54 (define @t24 () (not (forall @t7 (or @t23 @t21)))) % 0.29/0.54 (define @t25 () (or @t24 @t19 @t18 @t17)) % 0.29/0.54 (define @t26 () (or @t19 @t18 @t17)) % 0.29/0.54 (define @t27 () (or @t26 @t24)) % 0.29/0.54 (define @t28 () (@list @t4 @t2 @t16)) % 0.29/0.54 (define @t29 () (forall @t28 @t27)) % 0.29/0.54 (define @t30 () (@list @t16)) % 0.29/0.54 (define @t31 () (forall @t30 @t27)) % 0.29/0.54 (define @t32 () (forall @t30 @t26)) % 0.29/0.54 (define @t33 () (or @t32 @t24)) % 0.29/0.54 (define @t34 () (tptp.cZ @t1)) % 0.29/0.54 (define @t35 () (forall @t7 (or @t23 @t21 (not @t34)))) % 0.29/0.54 (define @t36 () (not @t35)) % 0.29/0.54 (define @t37 () (not @t3)) % 0.29/0.54 (define @t38 () (not @t5)) % 0.29/0.54 (define @t39 () (or @t38 @t37)) % 0.29/0.54 (define @t40 () (forall @t7 (not @t6))) % 0.29/0.54 (define @t41 () (not @t40)) % 0.29/0.54 (define @t42 () (not @t9)) % 0.29/0.54 (define @t43 () (or @t38 @t37 @t42)) % 0.29/0.54 (define @t44 () (forall @t7 (not @t10))) % 0.29/0.54 (define @t45 () (not @t44)) % 0.29/0.54 (define @t46 () (forall @t28 @t25)) % 0.29/0.54 (define @t47 () (@quantifiers_skolemize @t46 1)) % 0.29/0.54 (define @t48 () (@quantifiers_skolemize @t46 0)) % 0.29/0.54 (define @t49 () (forall @t7 (or (not (_ @t48 @t1)) (not (_ @t47 @t1))))) % 0.29/0.54 (define @t50 () (@quantifiers_skolemize @t46 2)) % 0.29/0.54 (define @t51 () (_ @t47 @t50)) % 0.29/0.54 (define @t52 () (not @t51)) % 0.29/0.54 (define @t53 () (_ @t48 @t50)) % 0.29/0.54 (define @t54 () (not @t53)) % 0.29/0.54 (define @t55 () (not @t49)) % 0.29/0.54 (define @t56 () (or @t55 @t54 @t52 (not (tptp.cZ @t50)))) % 0.29/0.54 (define @t57 () (@list true)) % 0.29/0.54 (define @t58 () (@list @t56)) % 0.29/0.54 (define @t59 () (or @t54 @t52)) % 0.29/0.54 (define @t60 () (not @t59)) % 0.29/0.54 (assume @p1 @t15) % 0.29/0.54 (assume @p2 true) % 0.29/0.54 (step @p3 :rule aci_norm :args ((= @t27 @t25))) % 0.29/0.54 (step @p4 :rule cong :premises (@p3) :args (@t29)) % 0.29/0.54 (step @p5 :rule quant-merge-prenex :args ((= (forall @t13 @t31) @t29))) % 0.29/0.54 (step @p6 :rule refl :args (@t24)) % 0.29/0.54 (step @p7 :rule alpha_equiv :args (@t32 (@list @t16) (@list @t1))) % 0.29/0.54 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t33)) % 0.29/0.54 (step @p9 :rule quant-miniscope-or :args ((= @t31 @t33))) % 0.29/0.54 (step @p10 :rule trans :premises (@p9 @p8)) % 0.29/0.54 (step @p11 :rule symm :premises (@p10)) % 0.29/0.54 (step @p12 :rule cong :premises (@p11) :args ((forall @t13 (or @t35 @t24)))) % 0.29/0.54 (step @p13 :rule trans :premises (@p12 @p5)) % 0.29/0.54 (step @p14 :rule trans :premises (@p13 @p4)) % 0.29/0.54 (step @p15 :rule bool-double-not-elim :args (@t35)) % 0.29/0.54 (step @p16 :rule nary_cong :premises (@p15 @p6) :args ((or (not @t36) @t24))) % 0.29/0.54 (step @p17 :rule bool-impl-elim :args (@t36 @t24)) % 0.29/0.54 (step @p18 :rule trans :premises (@p17 @p16)) % 0.29/0.54 (step @p19 :rule cong :premises (@p18) :args ((forall @t13 (=> @t36 @t24)))) % 0.29/0.54 (step @p20 :rule trans :premises (@p19 @p14)) % 0.29/0.54 (step @p21 :rule refl :args (@t20)) % 0.29/0.54 (step @p22 :rule refl :args (@t3)) % 0.29/0.54 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t3 @t20))) % 0.29/0.54 (step @p24 :rule symm :premises (@p23)) % 0.29/0.54 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.29/0.54 (step @p26 :rule cong :premises (@p25) :args (@t37)) % 0.29/0.54 (step @p27 :rule refl :args (@t22)) % 0.29/0.54 (step @p28 :rule refl :args (@t5)) % 0.29/0.54 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t5 @t22))) % 0.29/0.54 (step @p30 :rule symm :premises (@p29)) % 0.29/0.54 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.29/0.54 (step @p32 :rule cong :premises (@p31) :args (@t38)) % 0.29/0.54 (step @p33 :rule nary_cong :premises (@p32 @p26) :args (@t39)) % 0.29/0.54 (step @p34 :rule cong :premises (@p33) :args ((forall @t7 @t39))) % 0.29/0.55 (step @p35 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.29/0.55 (step @p36 :rule cong :premises (@p35) :args (@t40)) % 0.29/0.55 (step @p37 :rule trans :premises (@p36 @p34)) % 0.29/0.55 (step @p38 :rule cong :premises (@p37) :args (@t41)) % 0.29/0.55 (step @p39 :rule exists-elim :args ((= @t8 @t41))) % 0.29/0.55 (step @p40 :rule trans :premises (@p39 @p38)) % 0.29/0.55 (step @p41 :rule refl :args (@t34)) % 0.29/0.55 (step @p42 :rule refl :args (@t9)) % 0.29/0.55 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t9 @t34))) % 0.29/0.55 (step @p44 :rule symm :premises (@p43)) % 0.29/0.55 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.29/0.55 (step @p46 :rule cong :premises (@p45) :args (@t42)) % 0.29/0.55 (step @p47 :rule nary_cong :premises (@p32 @p26 @p46) :args (@t43)) % 0.29/0.55 (step @p48 :rule cong :premises (@p47) :args ((forall @t7 @t43))) % 0.29/0.55 (step @p49 :rule aci_norm :args ((= (or @t38 (or @t37 @t42)) @t43))) % 0.29/0.55 (step @p50 :rule bool-and-de-morgan :args (@t3 @t9 true)) % 0.29/0.55 (step @p51 :rule refl :args (@t38)) % 0.29/0.55 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t38 (not (and @t3 @t9))))) % 0.29/0.55 (step @p53 :rule bool-and-de-morgan :args (@t5 @t3 (and @t9))) % 0.29/0.55 (step @p54 :rule trans :premises (@p53 @p52)) % 0.29/0.55 (step @p55 :rule trans :premises (@p54 @p49)) % 0.29/0.55 (step @p56 :rule cong :premises (@p55) :args (@t44)) % 0.29/0.55 (step @p57 :rule trans :premises (@p56 @p48)) % 0.29/0.55 (step @p58 :rule cong :premises (@p57) :args (@t45)) % 0.29/0.55 (step @p59 :rule exists-elim :args ((= @t11 @t45))) % 0.29/0.55 (step @p60 :rule trans :premises (@p59 @p58)) % 0.29/0.55 (step @p61 :rule cong :premises (@p60 @p40) :args (@t12)) % 0.29/0.55 (step @p62 :rule cong :premises (@p61) :args (@t14)) % 0.29/0.55 (step @p63 :rule trans :premises (@p62 @p20)) % 0.29/0.55 (step @p64 :rule cong :premises (@p63) :args (@t15)) % 0.29/0.55 (step @p65 :rule eq_resolve :premises (@p1 @p64)) % 0.29/0.55 (step @p66 :rule skolemize :premises (@p65)) % 0.29/0.55 (step @p67 :rule bool-double-not-elim :args (@t49)) % 0.29/0.55 (step @p68 :rule refl :args (@t56)) % 0.29/0.55 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t56 (not @t55)))) % 0.29/0.55 (step @p70 :rule cnf_or_neg :args (@t56 0)) % 0.29/0.55 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 0.29/0.55 (step @p72 :rule reordering :premises (@p71) :args ((or @t49 @t56))) % 0.29/0.55 (step @p73 :rule chain_m_resolution :premises (@p72 @p66) :args (@t49 @t57 @t58)) % 0.29/0.55 (step @p74 :rule bool-double-not-elim :args (@t51)) % 0.29/0.55 (step @p75 :rule nary_cong :premises (@p68 @p74) :args ((or @t56 (not @t52)))) % 0.29/0.55 (step @p76 :rule cnf_or_neg :args (@t56 2)) % 0.29/0.55 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.29/0.55 (step @p78 :rule reordering :premises (@p77) :args ((or @t51 @t56))) % 0.29/0.55 (step @p79 :rule chain_m_resolution :premises (@p78 @p66) :args (@t51 @t57 @t58)) % 0.29/0.55 (step @p80 :rule bool-double-not-elim :args (@t53)) % 0.29/0.55 (step @p81 :rule nary_cong :premises (@p68 @p80) :args ((or @t56 (not @t54)))) % 0.29/0.55 (step @p82 :rule cnf_or_neg :args (@t56 1)) % 0.29/0.55 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.29/0.55 (step @p84 :rule reordering :premises (@p83) :args ((or @t53 @t56))) % 0.29/0.55 (step @p85 :rule chain_m_resolution :premises (@p84 @p66) :args (@t53 @t57 @t58)) % 0.29/0.55 (step @p86 :rule cnf_or_pos :args (@t59)) % 0.29/0.55 (step @p87 :rule reordering :premises (@p86) :args ((or @t54 @t52 @t60))) % 0.29/0.55 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p79) :args (@t60 (@list false false) (@list @t53 @t51))) % 0.29/0.55 (assume-push @p95 @t49) % 0.29/0.55 (step @p90 :rule instantiate :premises (@p73) :args ((@list @t50))) % 0.29/0.55 (step-pop @p96 :rule scope :premises (@p90)) % 0.29/0.55 (step @p91 :rule process_scope :premises (@p96) :args (@t59)) % 0.29/0.55 (step @p93 :rule implies_elim :premises (@p91)) % 0.29/0.55 (step @p94 false :rule chain_m_resolution :premises (@p93 @p88 @p73) :args (false (@list true false) (@list @t59 @t49))) % 0.29/0.55 ) % 0.29/0.55 % SZS output end Proof % 0.29/0.55 % cvc5 exiting %------------------------------------------------------------------------------