%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET631^5 : 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 : 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 08:48:19 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET631^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:05:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.51 %----Proving TH0 % 0.37/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort tptp.a 0) % 0.37/0.57 (define @t1 () (@var "Xx" tptp.a)) % 0.37/0.57 (define @t2 () (@var "Y" (-> tptp.a Bool))) % 0.37/0.57 (define @t3 () (_ @t2 @t1)) % 0.37/0.57 (define @t4 () (@var "X" (-> tptp.a Bool))) % 0.37/0.57 (define @t5 () (_ @t4 @t1)) % 0.37/0.57 (define @t6 () (and @t5 @t3)) % 0.37/0.57 (define @t7 () (@list @t1)) % 0.37/0.57 (define @t8 () (exists @t7 @t6)) % 0.37/0.57 (define @t9 () (@var "Z" (-> tptp.a Bool))) % 0.37/0.57 (define @t10 () (_ @t9 @t1)) % 0.37/0.57 (define @t11 () (not @t10)) % 0.37/0.57 (define @t12 () (and @t5 @t3 @t11)) % 0.37/0.57 (define @t13 () (exists @t7 @t12)) % 0.37/0.57 (define @t14 () (=> @t13 @t8)) % 0.37/0.57 (define @t15 () (@list @t4 @t2 @t9)) % 0.37/0.57 (define @t16 () (forall @t15 @t14)) % 0.37/0.57 (define @t17 () (not @t16)) % 0.37/0.57 (define @t18 () (@var "BOUND_VARIABLE_7452" tptp.a)) % 0.37/0.57 (define @t19 () (_ @t9 @t18)) % 0.37/0.57 (define @t20 () (not (_ @t2 @t18))) % 0.37/0.57 (define @t21 () (not (_ @t4 @t18))) % 0.37/0.57 (define @t22 () (_ @t2 @t1)) % 0.37/0.57 (define @t23 () (not @t22)) % 0.37/0.57 (define @t24 () (_ @t4 @t1)) % 0.37/0.57 (define @t25 () (not @t24)) % 0.37/0.57 (define @t26 () (not (forall @t7 (or @t25 @t23)))) % 0.37/0.57 (define @t27 () (or @t26 @t21 @t20 @t19)) % 0.37/0.57 (define @t28 () (or @t21 @t20 @t19)) % 0.37/0.57 (define @t29 () (or @t28 @t26)) % 0.37/0.57 (define @t30 () (@list @t4 @t2 @t9 @t18)) % 0.37/0.57 (define @t31 () (forall @t30 @t29)) % 0.37/0.57 (define @t32 () (@list @t18)) % 0.37/0.57 (define @t33 () (forall @t32 @t29)) % 0.37/0.57 (define @t34 () (forall @t32 @t28)) % 0.37/0.57 (define @t35 () (or @t34 @t26)) % 0.37/0.57 (define @t36 () (_ @t9 @t1)) % 0.37/0.57 (define @t37 () (forall @t7 (or @t25 @t23 @t36))) % 0.37/0.57 (define @t38 () (not @t37)) % 0.37/0.57 (define @t39 () (not @t3)) % 0.37/0.57 (define @t40 () (not @t5)) % 0.37/0.57 (define @t41 () (or @t40 @t39)) % 0.37/0.57 (define @t42 () (forall @t7 (not @t6))) % 0.37/0.57 (define @t43 () (not @t42)) % 0.37/0.57 (define @t44 () (or @t40 @t39 @t10)) % 0.37/0.57 (define @t45 () (not @t11)) % 0.37/0.57 (define @t46 () (or @t40 @t39 @t45)) % 0.37/0.57 (define @t47 () (forall @t7 (not @t12))) % 0.37/0.57 (define @t48 () (not @t47)) % 0.37/0.57 (define @t49 () (forall @t30 @t27)) % 0.37/0.57 (define @t50 () (@quantifiers_skolemize @t49 1)) % 0.37/0.57 (define @t51 () (@quantifiers_skolemize @t49 0)) % 0.37/0.57 (define @t52 () (forall @t7 (or (not (_ @t51 @t1)) (not (_ @t50 @t1))))) % 0.37/0.57 (define @t53 () (@quantifiers_skolemize @t49 3)) % 0.37/0.57 (define @t54 () (_ @t50 @t53)) % 0.37/0.57 (define @t55 () (not @t54)) % 0.37/0.57 (define @t56 () (_ @t51 @t53)) % 0.37/0.57 (define @t57 () (not @t56)) % 0.37/0.57 (define @t58 () (not @t52)) % 0.37/0.57 (define @t59 () (or @t58 @t57 @t55 (_ (@quantifiers_skolemize @t49 2) @t53))) % 0.37/0.57 (define @t60 () (@list true)) % 0.37/0.57 (define @t61 () (@list @t59)) % 0.37/0.57 (define @t62 () (or @t57 @t55)) % 0.37/0.57 (define @t63 () (not @t62)) % 0.37/0.57 (assume @p1 @t17) % 0.37/0.57 (assume @p2 true) % 0.37/0.57 (step @p3 :rule aci_norm :args ((= @t29 @t27))) % 0.37/0.57 (step @p4 :rule cong :premises (@p3) :args (@t31)) % 0.37/0.57 (step @p5 :rule quant-merge-prenex :args ((= (forall @t15 @t33) @t31))) % 0.37/0.57 (step @p6 :rule refl :args (@t26)) % 0.37/0.57 (step @p7 :rule alpha_equiv :args (@t34 (@list @t18) (@list @t1))) % 0.37/0.57 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t35)) % 0.37/0.57 (step @p9 :rule quant-miniscope-or :args ((= @t33 @t35))) % 0.37/0.57 (step @p10 :rule trans :premises (@p9 @p8)) % 0.37/0.57 (step @p11 :rule symm :premises (@p10)) % 0.37/0.57 (step @p12 :rule cong :premises (@p11) :args ((forall @t15 (or @t37 @t26)))) % 0.37/0.57 (step @p13 :rule trans :premises (@p12 @p5)) % 0.37/0.57 (step @p14 :rule trans :premises (@p13 @p4)) % 0.37/0.57 (step @p15 :rule bool-double-not-elim :args (@t37)) % 0.37/0.57 (step @p16 :rule nary_cong :premises (@p15 @p6) :args ((or (not @t38) @t26))) % 0.37/0.57 (step @p17 :rule bool-impl-elim :args (@t38 @t26)) % 0.37/0.57 (step @p18 :rule trans :premises (@p17 @p16)) % 0.37/0.57 (step @p19 :rule cong :premises (@p18) :args ((forall @t15 (=> @t38 @t26)))) % 0.37/0.57 (step @p20 :rule trans :premises (@p19 @p14)) % 0.37/0.57 (step @p21 :rule refl :args (@t22)) % 0.37/0.57 (step @p22 :rule refl :args (@t3)) % 0.37/0.57 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t3 @t22))) % 0.37/0.57 (step @p24 :rule symm :premises (@p23)) % 0.37/0.57 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.37/0.57 (step @p26 :rule cong :premises (@p25) :args (@t39)) % 0.37/0.57 (step @p27 :rule refl :args (@t24)) % 0.37/0.57 (step @p28 :rule refl :args (@t5)) % 0.37/0.57 (step @p29 :rule cong :premises (@p28 @p27) :args ((= @t5 @t24))) % 0.37/0.57 (step @p30 :rule symm :premises (@p29)) % 0.37/0.57 (step @p31 :rule eq_resolve :premises (@p28 @p30)) % 0.37/0.57 (step @p32 :rule cong :premises (@p31) :args (@t40)) % 0.37/0.57 (step @p33 :rule nary_cong :premises (@p32 @p26) :args (@t41)) % 0.37/0.58 (step @p34 :rule cong :premises (@p33) :args ((forall @t7 @t41))) % 0.37/0.58 (step @p35 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.37/0.58 (step @p36 :rule cong :premises (@p35) :args (@t42)) % 0.37/0.58 (step @p37 :rule trans :premises (@p36 @p34)) % 0.37/0.58 (step @p38 :rule cong :premises (@p37) :args (@t43)) % 0.37/0.58 (step @p39 :rule exists-elim :args ((= @t8 @t43))) % 0.37/0.58 (step @p40 :rule trans :premises (@p39 @p38)) % 0.37/0.58 (step @p41 :rule refl :args (@t36)) % 0.37/0.58 (step @p42 :rule refl :args (@t10)) % 0.37/0.58 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t10 @t36))) % 0.37/0.58 (step @p44 :rule symm :premises (@p43)) % 0.37/0.58 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.37/0.58 (step @p46 :rule nary_cong :premises (@p32 @p26 @p45) :args (@t44)) % 0.37/0.58 (step @p47 :rule cong :premises (@p46) :args ((forall @t7 @t44))) % 0.37/0.58 (step @p48 :rule bool-double-not-elim :args (@t10)) % 0.37/0.58 (step @p49 :rule refl :args (@t39)) % 0.37/0.58 (step @p50 :rule refl :args (@t40)) % 0.37/0.58 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args (@t46)) % 0.37/0.58 (step @p52 :rule aci_norm :args ((= (or @t40 (or @t39 @t45)) @t46))) % 0.37/0.58 (step @p53 :rule trans :premises (@p52 @p51)) % 0.37/0.58 (step @p54 :rule bool-and-de-morgan :args (@t3 @t11 true)) % 0.37/0.58 (step @p55 :rule nary_cong :premises (@p50 @p54) :args ((or @t40 (not (and @t3 @t11))))) % 0.37/0.58 (step @p56 :rule bool-and-de-morgan :args (@t5 @t3 (and @t11))) % 0.37/0.58 (step @p57 :rule trans :premises (@p56 @p55)) % 0.37/0.58 (step @p58 :rule trans :premises (@p57 @p53)) % 0.37/0.58 (step @p59 :rule cong :premises (@p58) :args (@t47)) % 0.37/0.58 (step @p60 :rule trans :premises (@p59 @p47)) % 0.37/0.58 (step @p61 :rule cong :premises (@p60) :args (@t48)) % 0.37/0.58 (step @p62 :rule exists-elim :args ((= @t13 @t48))) % 0.37/0.58 (step @p63 :rule trans :premises (@p62 @p61)) % 0.37/0.58 (step @p64 :rule cong :premises (@p63 @p40) :args (@t14)) % 0.37/0.58 (step @p65 :rule cong :premises (@p64) :args (@t16)) % 0.37/0.58 (step @p66 :rule trans :premises (@p65 @p20)) % 0.37/0.58 (step @p67 :rule cong :premises (@p66) :args (@t17)) % 0.37/0.58 (step @p68 :rule eq_resolve :premises (@p1 @p67)) % 0.37/0.58 (step @p69 :rule skolemize :premises (@p68)) % 0.37/0.58 (step @p70 :rule bool-double-not-elim :args (@t52)) % 0.37/0.58 (step @p71 :rule refl :args (@t59)) % 0.37/0.58 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or @t59 (not @t58)))) % 0.37/0.58 (step @p73 :rule cnf_or_neg :args (@t59 0)) % 0.37/0.58 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.37/0.58 (step @p75 :rule reordering :premises (@p74) :args ((or @t52 @t59))) % 0.37/0.58 (step @p76 :rule chain_m_resolution :premises (@p75 @p69) :args (@t52 @t60 @t61)) % 0.37/0.58 (step @p77 :rule bool-double-not-elim :args (@t54)) % 0.37/0.58 (step @p78 :rule nary_cong :premises (@p71 @p77) :args ((or @t59 (not @t55)))) % 0.37/0.58 (step @p79 :rule cnf_or_neg :args (@t59 2)) % 0.37/0.58 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.37/0.58 (step @p81 :rule reordering :premises (@p80) :args ((or @t54 @t59))) % 0.37/0.58 (step @p82 :rule chain_m_resolution :premises (@p81 @p69) :args (@t54 @t60 @t61)) % 0.37/0.58 (step @p83 :rule bool-double-not-elim :args (@t56)) % 0.37/0.58 (step @p84 :rule nary_cong :premises (@p71 @p83) :args ((or @t59 (not @t57)))) % 0.37/0.58 (step @p85 :rule cnf_or_neg :args (@t59 1)) % 0.37/0.58 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.37/0.58 (step @p87 :rule reordering :premises (@p86) :args ((or @t56 @t59))) % 0.37/0.58 (step @p88 :rule chain_m_resolution :premises (@p87 @p69) :args (@t56 @t60 @t61)) % 0.37/0.58 (step @p89 :rule cnf_or_pos :args (@t62)) % 0.37/0.58 (step @p90 :rule reordering :premises (@p89) :args ((or @t57 @t55 @t63))) % 0.37/0.58 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p82) :args (@t63 (@list false false) (@list @t56 @t54))) % 0.37/0.58 (assume-push @p98 @t52) % 0.37/0.58 (step @p93 :rule instantiate :premises (@p76) :args ((@list @t53))) % 0.37/0.58 (step-pop @p99 :rule scope :premises (@p93)) % 0.37/0.58 (step @p94 :rule process_scope :premises (@p99) :args (@t62)) % 0.37/0.58 (step @p96 :rule implies_elim :premises (@p94)) % 0.37/0.58 (step @p97 false :rule chain_m_resolution :premises (@p96 @p91 @p76) :args (false (@list true false) (@list @t62 @t52))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------