%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO260^5 : 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 : n003.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 09:12:19 AM UTC 2026 % Result : Theorem 0.37s 0.61s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYO260^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n003.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 00:01:14 EDT 2026 % 0.18/0.35 % CPUTime : % 0.26/0.51 %----Proving TH0 % 0.37/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.61 % SZS status Theorem % 0.37/0.61 % SZS output start Proof % 0.37/0.61 ( % 0.37/0.61 (declare-sort $$unsorted 0) % 0.37/0.61 (define @t1 () (@var "Xc" $$unsorted)) % 0.37/0.61 (define @t2 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.61 (define @t3 () (_ @t2 @t1)) % 0.37/0.61 (define @t4 () (not @t3)) % 0.37/0.61 (define @t5 () (@var "Xm" (-> $$unsorted Bool))) % 0.37/0.61 (define @t6 () (_ @t5 @t1)) % 0.37/0.61 (define @t7 () (or @t6 @t4)) % 0.37/0.61 (define @t8 () (@var "Xb" $$unsorted)) % 0.37/0.61 (define @t9 () (@var "Xn" (-> $$unsorted Bool))) % 0.37/0.61 (define @t10 () (_ @t9 @t8)) % 0.37/0.61 (define @t11 () (_ @t2 @t8)) % 0.37/0.61 (define @t12 () (or @t11 @t10)) % 0.37/0.61 (define @t13 () (@var "Xa" $$unsorted)) % 0.37/0.61 (define @t14 () (_ @t9 @t13)) % 0.37/0.61 (define @t15 () (_ @t5 @t13)) % 0.37/0.61 (define @t16 () (or @t15 @t14)) % 0.37/0.61 (define @t17 () (and @t16 @t12 @t7)) % 0.37/0.61 (define @t18 () (@list @t5 @t9)) % 0.37/0.61 (define @t19 () (exists @t18 @t17)) % 0.37/0.61 (define @t20 () (@list @t13 @t8 @t1 @t2)) % 0.37/0.61 (define @t21 () (forall @t20 @t19)) % 0.37/0.61 (define @t22 () (not @t21)) % 0.37/0.61 (define @t23 () (_ @t2 @t1)) % 0.37/0.61 (define @t24 () (_ @t5 @t1)) % 0.37/0.61 (define @t25 () (not @t6)) % 0.37/0.61 (define @t26 () (and @t25 @t3)) % 0.37/0.61 (define @t27 () (_ @t9 @t8)) % 0.37/0.61 (define @t28 () (not @t10)) % 0.37/0.61 (define @t29 () (_ @t2 @t8)) % 0.37/0.61 (define @t30 () (not @t11)) % 0.37/0.61 (define @t31 () (and @t30 @t28)) % 0.37/0.61 (define @t32 () (_ @t9 @t13)) % 0.37/0.61 (define @t33 () (not @t14)) % 0.37/0.61 (define @t34 () (_ @t5 @t13)) % 0.37/0.61 (define @t35 () (not @t15)) % 0.37/0.61 (define @t36 () (and @t35 @t33)) % 0.37/0.61 (define @t37 () (or @t36 @t31 @t26)) % 0.37/0.61 (define @t38 () (not @t7)) % 0.37/0.61 (define @t39 () (not @t12)) % 0.37/0.61 (define @t40 () (not @t16)) % 0.37/0.61 (define @t41 () (or @t40 @t39 @t38)) % 0.37/0.61 (define @t42 () (forall @t18 (not @t17))) % 0.37/0.61 (define @t43 () (not @t42)) % 0.37/0.61 (define @t44 () (forall @t20 (not (forall @t18 (or (and (not @t34) (not @t32)) (and (not @t29) (not @t27)) (and (not @t24) @t23)))))) % 0.37/0.61 (define @t45 () (@quantifiers_skolemize @t44 2)) % 0.37/0.61 (define @t46 () (@quantifiers_skolemize @t44 3)) % 0.37/0.61 (define @t47 () (_ @t46 @t45)) % 0.37/0.61 (define @t48 () (@quantifiers_skolemize @t44 1)) % 0.37/0.61 (define @t49 () (not (_ @t46 @t48))) % 0.37/0.61 (define @t50 () (@quantifiers_skolemize @t44 0)) % 0.37/0.61 (define @t51 () (forall @t18 (or (and (not (_ @t5 @t50)) (not (_ @t9 @t50))) (and @t49 (not (_ @t9 @t48))) (and (not (_ @t5 @t45)) @t47)))) % 0.37/0.61 (define @t52 () (not @t44)) % 0.37/0.61 (define @t53 () (not (not @t51))) % 0.37/0.61 (define @t54 () (lambda (@list (@var "BOUND_VARIABLE_14612" $$unsorted)) true)) % 0.37/0.61 (define @t55 () (_ @t54 @t45)) % 0.37/0.61 (define @t56 () (not @t55)) % 0.37/0.61 (define @t57 () (and @t56 @t47)) % 0.37/0.61 (define @t58 () (lambda (@list (@var "BOUND_VARIABLE_14839" $$unsorted)) true)) % 0.37/0.61 (define @t59 () (_ @t58 @t48)) % 0.37/0.61 (define @t60 () (not @t59)) % 0.37/0.61 (define @t61 () (and @t49 @t60)) % 0.37/0.61 (define @t62 () (_ @t58 @t50)) % 0.37/0.61 (define @t63 () (not @t62)) % 0.37/0.61 (define @t64 () (_ @t54 @t50)) % 0.37/0.61 (define @t65 () (not @t64)) % 0.37/0.61 (define @t66 () (and @t65 @t63)) % 0.37/0.61 (define @t67 () (or @t66 @t61 @t57)) % 0.37/0.61 (assume @p1 @t22) % 0.37/0.61 (assume @p2 true) % 0.37/0.61 (step @p3 :rule refl :args (@t23)) % 0.37/0.61 (step @p4 :rule refl :args (@t3)) % 0.37/0.61 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t23))) % 0.37/0.61 (step @p6 :rule symm :premises (@p5)) % 0.37/0.61 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.37/0.61 (step @p8 :rule refl :args (@t24)) % 0.37/0.61 (step @p9 :rule refl :args (@t6)) % 0.37/0.61 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t6 @t24))) % 0.37/0.61 (step @p11 :rule symm :premises (@p10)) % 0.37/0.61 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.37/0.61 (step @p13 :rule cong :premises (@p12) :args (@t25)) % 0.37/0.61 (step @p14 :rule nary_cong :premises (@p13 @p7) :args (@t26)) % 0.37/0.61 (step @p15 :rule refl :args (@t27)) % 0.37/0.61 (step @p16 :rule refl :args (@t10)) % 0.37/0.61 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t10 @t27))) % 0.37/0.61 (step @p18 :rule symm :premises (@p17)) % 0.37/0.61 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.37/0.61 (step @p20 :rule cong :premises (@p19) :args (@t28)) % 0.37/0.61 (step @p21 :rule refl :args (@t29)) % 0.37/0.61 (step @p22 :rule refl :args (@t11)) % 0.37/0.61 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t11 @t29))) % 0.37/0.61 (step @p24 :rule symm :premises (@p23)) % 0.37/0.61 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.37/0.61 (step @p26 :rule cong :premises (@p25) :args (@t30)) % 0.37/0.61 (step @p27 :rule nary_cong :premises (@p26 @p20) :args (@t31)) % 0.37/0.61 (step @p28 :rule refl :args (@t32)) % 0.37/0.61 (step @p29 :rule refl :args (@t14)) % 0.37/0.61 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t14 @t32))) % 0.37/0.61 (step @p31 :rule symm :premises (@p30)) % 0.37/0.61 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.37/0.61 (step @p33 :rule cong :premises (@p32) :args (@t33)) % 0.37/0.61 (step @p34 :rule refl :args (@t34)) % 0.37/0.61 (step @p35 :rule refl :args (@t15)) % 0.37/0.61 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t15 @t34))) % 0.37/0.61 (step @p37 :rule symm :premises (@p36)) % 0.37/0.61 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 0.37/0.61 (step @p39 :rule cong :premises (@p38) :args (@t35)) % 0.37/0.61 (step @p40 :rule nary_cong :premises (@p39 @p33) :args (@t36)) % 0.37/0.61 (step @p41 :rule nary_cong :premises (@p40 @p27 @p14) :args (@t37)) % 0.37/0.61 (step @p42 :rule cong :premises (@p41) :args ((forall @t18 @t37))) % 0.37/0.61 (step @p43 :rule bool-double-not-elim :args (@t3)) % 0.37/0.61 (step @p44 :rule refl :args (@t25)) % 0.37/0.61 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((and @t25 (not @t4)))) % 0.37/0.61 (step @p46 :rule bool-or-de-morgan :args (@t6 @t4 false)) % 0.37/0.61 (step @p47 :rule trans :premises (@p46 @p45)) % 0.37/0.61 (step @p48 :rule bool-or-de-morgan :args (@t11 @t10 false)) % 0.37/0.61 (step @p49 :rule bool-or-de-morgan :args (@t15 @t14 false)) % 0.37/0.61 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47) :args (@t41)) % 0.37/0.61 (step @p51 :rule aci_norm :args ((= (or @t40 (or @t39 @t38)) @t41))) % 0.37/0.61 (step @p52 :rule bool-and-de-morgan :args (@t12 @t7 true)) % 0.37/0.61 (step @p53 :rule refl :args (@t40)) % 0.37/0.61 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t40 (not (and @t12 @t7))))) % 0.37/0.61 (step @p55 :rule bool-and-de-morgan :args (@t16 @t12 (and @t7))) % 0.37/0.61 (step @p56 :rule trans :premises (@p55 @p54)) % 0.37/0.61 (step @p57 :rule trans :premises (@p56 @p51)) % 0.37/0.61 (step @p58 :rule trans :premises (@p57 @p50)) % 0.37/0.61 (step @p59 :rule cong :premises (@p58) :args (@t42)) % 0.37/0.61 (step @p60 :rule trans :premises (@p59 @p42)) % 0.37/0.61 (step @p61 :rule cong :premises (@p60) :args (@t43)) % 0.37/0.61 (step @p62 :rule exists-elim :args ((= @t19 @t43))) % 0.37/0.61 (step @p63 :rule trans :premises (@p62 @p61)) % 0.37/0.61 (step @p64 :rule cong :premises (@p63) :args (@t21)) % 0.37/0.61 (step @p65 :rule cong :premises (@p64) :args (@t22)) % 0.37/0.61 (step @p66 :rule eq_resolve :premises (@p1 @p65)) % 0.37/0.61 (step @p67 :rule refl :args (@t51)) % 0.37/0.61 (step @p68 :rule bool-double-not-elim :args (@t44)) % 0.37/0.61 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or (not @t52) @t51))) % 0.37/0.61 (step @p70 :rule bool-double-not-elim :args (@t51)) % 0.37/0.61 (step @p71 :rule refl :args (@t52)) % 0.37/0.61 (step @p72 :rule cong :premises (@p71 @p70) :args ((=> @t52 @t53))) % 0.37/0.61 (assume-push @p117 @t52) % 0.37/0.61 (step @p74 :rule skolemize :premises (@p66)) % 0.37/0.61 (step-pop @p118 :rule scope :premises (@p74)) % 0.37/0.61 (step @p75 :rule process_scope :premises (@p118) :args (@t53)) % 0.37/0.61 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 0.37/0.61 (step @p78 :rule implies_elim :premises (@p77)) % 0.37/0.61 (step @p79 :rule eq_resolve :premises (@p78 @p69)) % 0.37/0.61 (step @p80 :rule chain_m_resolution :premises (@p79 @p66) :args (@t51 (@list true) (@list @t44))) % 0.37/0.61 (step @p81 :rule bool-impl-false1 :args (@t51)) % 0.37/0.61 (step @p82 :rule evaluate :args ((or false false false))) % 0.37/0.61 (step @p83 :rule absorb :args ((= (and false @t47) false))) % 0.37/0.61 (step @p84 :rule refl :args (@t47)) % 0.37/0.61 (step @p85 :rule evaluate :args ((not true))) % 0.37/0.61 (step @p86 :rule beta-reduce :args ((= @t55 true))) % 0.37/0.61 (step @p87 :rule cong :premises (@p86) :args (@t56)) % 0.37/0.61 (step @p88 :rule trans :premises (@p87 @p85)) % 0.37/0.61 (step @p89 :rule nary_cong :premises (@p88 @p84) :args (@t57)) % 0.37/0.61 (step @p90 :rule trans :premises (@p89 @p83)) % 0.37/0.61 (step @p91 :rule absorb :args ((= (and @t49 false) false))) % 0.37/0.61 (step @p92 :rule beta-reduce :args ((= @t59 true))) % 0.37/0.61 (step @p93 :rule cong :premises (@p92) :args (@t60)) % 0.37/0.61 (step @p94 :rule trans :premises (@p93 @p85)) % 0.37/0.61 (step @p95 :rule refl :args (@t49)) % 0.37/0.61 (step @p96 :rule nary_cong :premises (@p95 @p94) :args (@t61)) % 0.37/0.61 (step @p97 :rule trans :premises (@p96 @p91)) % 0.37/0.61 (step @p98 :rule evaluate :args ((and false false))) % 0.37/0.61 (step @p99 :rule beta-reduce :args ((= @t62 true))) % 0.37/0.61 (step @p100 :rule cong :premises (@p99) :args (@t63)) % 0.37/0.61 (step @p101 :rule trans :premises (@p100 @p85)) % 0.37/0.61 (step @p102 :rule beta-reduce :args ((= @t64 true))) % 0.37/0.61 (step @p103 :rule cong :premises (@p102) :args (@t65)) % 0.37/0.61 (step @p104 :rule trans :premises (@p103 @p85)) % 0.37/0.61 (step @p105 :rule nary_cong :premises (@p104 @p101) :args (@t66)) % 0.37/0.61 (step @p106 :rule trans :premises (@p105 @p98)) % 0.37/0.61 (step @p107 :rule nary_cong :premises (@p106 @p97 @p90) :args (@t67)) % 0.37/0.61 (step @p108 :rule trans :premises (@p107 @p82)) % 0.37/0.61 (step @p109 :rule cong :premises (@p67 @p108) :args ((=> @t51 @t67))) % 0.37/0.61 (step @p110 :rule trans :premises (@p109 @p81)) % 0.37/0.61 (assume-push @p119 @t51) % 0.37/0.61 (step @p112 :rule instantiate :premises (@p80) :args ((@list @t54 @t58))) % 0.37/0.61 (step-pop @p120 :rule scope :premises (@p112)) % 0.37/0.61 (step @p113 :rule process_scope :premises (@p120) :args (@t67)) % 0.37/0.61 (step @p115 :rule eq_resolve :premises (@p113 @p110)) % 0.37/0.61 (step @p116 false :rule chain_m_resolution :premises (@p115 @p80) :args (false (@list false) (@list @t51))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------