%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET589^5 : 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 : n011.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 08:48:07 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET589^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n011.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:03:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.38/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort tptp.a 0) % 0.38/0.57 (define @t1 () (@var "Xx" tptp.a)) % 0.38/0.57 (define @t2 () (@var "Z" (-> tptp.a Bool))) % 0.38/0.57 (define @t3 () (_ @t2 @t1)) % 0.38/0.57 (define @t4 () (not @t3)) % 0.38/0.57 (define @t5 () (@var "Y" (-> tptp.a Bool))) % 0.38/0.57 (define @t6 () (_ @t5 @t1)) % 0.38/0.57 (define @t7 () (and @t6 @t4)) % 0.38/0.57 (define @t8 () (@var "V" (-> tptp.a Bool))) % 0.38/0.57 (define @t9 () (_ @t8 @t1)) % 0.38/0.57 (define @t10 () (not @t9)) % 0.38/0.57 (define @t11 () (@var "X" (-> tptp.a Bool))) % 0.38/0.57 (define @t12 () (_ @t11 @t1)) % 0.38/0.57 (define @t13 () (and @t12 @t10)) % 0.38/0.57 (define @t14 () (@list @t1)) % 0.38/0.57 (define @t15 () (forall @t14 (=> @t13 @t7))) % 0.38/0.57 (define @t16 () (forall @t14 (=> @t3 @t9))) % 0.38/0.57 (define @t17 () (forall @t14 (=> @t12 @t6))) % 0.38/0.57 (define @t18 () (and @t17 @t16)) % 0.38/0.57 (define @t19 () (=> @t18 @t15)) % 0.38/0.57 (define @t20 () (@list @t11 @t5 @t2 @t8)) % 0.38/0.57 (define @t21 () (forall @t20 @t19)) % 0.38/0.57 (define @t22 () (not @t21)) % 0.38/0.57 (define @t23 () (@var "BOUND_VARIABLE_7464" tptp.a)) % 0.38/0.57 (define @t24 () (and (_ @t5 @t23) (not (_ @t2 @t23)))) % 0.38/0.57 (define @t25 () (_ @t8 @t23)) % 0.38/0.57 (define @t26 () (not (_ @t11 @t23))) % 0.38/0.57 (define @t27 () (_ @t8 @t1)) % 0.38/0.57 (define @t28 () (_ @t2 @t1)) % 0.38/0.57 (define @t29 () (not @t28)) % 0.38/0.57 (define @t30 () (forall @t14 (or @t29 @t27))) % 0.38/0.57 (define @t31 () (not @t30)) % 0.38/0.57 (define @t32 () (_ @t5 @t1)) % 0.38/0.57 (define @t33 () (_ @t11 @t1)) % 0.38/0.57 (define @t34 () (not @t33)) % 0.38/0.57 (define @t35 () (forall @t14 (or @t34 @t32))) % 0.38/0.57 (define @t36 () (not @t35)) % 0.38/0.57 (define @t37 () (or @t36 @t31 @t26 @t25 @t24)) % 0.38/0.57 (define @t38 () (or @t26 @t25 @t24)) % 0.38/0.57 (define @t39 () (or @t36 @t31 @t38)) % 0.38/0.57 (define @t40 () (@list @t11 @t5 @t2 @t8 @t23)) % 0.38/0.57 (define @t41 () (forall @t40 @t39)) % 0.38/0.57 (define @t42 () (@list @t23)) % 0.38/0.57 (define @t43 () (forall @t42 @t39)) % 0.38/0.57 (define @t44 () (forall @t42 @t38)) % 0.38/0.57 (define @t45 () (or @t36 @t31 @t44)) % 0.38/0.57 (define @t46 () (forall @t14 (or @t34 @t27 (and @t32 @t29)))) % 0.38/0.57 (define @t47 () (or @t36 @t31 @t46)) % 0.38/0.57 (define @t48 () (and @t35 @t30)) % 0.38/0.57 (define @t49 () (not @t12)) % 0.38/0.57 (define @t50 () (or @t49 @t9 @t7)) % 0.38/0.57 (define @t51 () (or @t4 @t9)) % 0.38/0.57 (define @t52 () (or @t49 @t6)) % 0.38/0.57 (define @t53 () (forall @t40 @t37)) % 0.38/0.57 (define @t54 () (@quantifiers_skolemize @t53 3)) % 0.38/0.57 (define @t55 () (@quantifiers_skolemize @t53 2)) % 0.38/0.57 (define @t56 () (forall @t14 (or (not (_ @t55 @t1)) (_ @t54 @t1)))) % 0.38/0.57 (define @t57 () (@quantifiers_skolemize @t53 4)) % 0.38/0.57 (define @t58 () (_ @t55 @t57)) % 0.38/0.57 (define @t59 () (not @t58)) % 0.38/0.57 (define @t60 () (@quantifiers_skolemize @t53 1)) % 0.38/0.57 (define @t61 () (_ @t60 @t57)) % 0.38/0.57 (define @t62 () (and @t61 @t59)) % 0.38/0.57 (define @t63 () (_ @t54 @t57)) % 0.38/0.57 (define @t64 () (@quantifiers_skolemize @t53 0)) % 0.38/0.57 (define @t65 () (_ @t64 @t57)) % 0.38/0.57 (define @t66 () (not @t65)) % 0.38/0.57 (define @t67 () (not @t56)) % 0.38/0.57 (define @t68 () (forall @t14 (or (not (_ @t64 @t1)) (_ @t60 @t1)))) % 0.38/0.57 (define @t69 () (not @t68)) % 0.38/0.57 (define @t70 () (or @t69 @t67 @t66 @t63 @t62)) % 0.38/0.57 (define @t71 () (@list true)) % 0.38/0.57 (define @t72 () (@list @t70)) % 0.38/0.57 (define @t73 () (@list @t57)) % 0.38/0.57 (define @t74 () (or @t66 @t61)) % 0.38/0.57 (define @t75 () (not @t61)) % 0.38/0.57 (define @t76 () (@list true false)) % 0.38/0.57 (define @t77 () (or @t59 @t63)) % 0.38/0.57 (define @t78 () (not @t77)) % 0.38/0.57 (assume @p1 @t22) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (step @p3 :rule aci_norm :args ((= @t39 @t37))) % 0.38/0.57 (step @p4 :rule cong :premises (@p3) :args (@t41)) % 0.38/0.57 (step @p5 :rule quant-merge-prenex :args ((= (forall @t20 @t43) @t41))) % 0.38/0.57 (step @p6 :rule alpha_equiv :args (@t44 (@list @t23) (@list @t1))) % 0.38/0.57 (step @p7 :rule refl :args (@t31)) % 0.38/0.57 (step @p8 :rule refl :args (@t36)) % 0.38/0.57 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t45)) % 0.38/0.57 (step @p10 :rule quant-miniscope-or :args ((= @t43 @t45))) % 0.38/0.57 (step @p11 :rule trans :premises (@p10 @p9)) % 0.38/0.57 (step @p12 :rule symm :premises (@p11)) % 0.38/0.57 (step @p13 :rule cong :premises (@p12) :args ((forall @t20 @t47))) % 0.38/0.57 (step @p14 :rule trans :premises (@p13 @p5)) % 0.38/0.57 (step @p15 :rule trans :premises (@p14 @p4)) % 0.38/0.57 (step @p16 :rule aci_norm :args ((= (or (or @t36 @t31) @t46) @t47))) % 0.38/0.57 (step @p17 :rule refl :args (@t46)) % 0.38/0.57 (step @p18 :rule bool-and-de-morgan :args (@t35 @t30 true)) % 0.38/0.57 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t48) @t46))) % 0.38/0.57 (step @p20 :rule trans :premises (@p19 @p16)) % 0.38/0.57 (step @p21 :rule bool-impl-elim :args (@t48 @t46)) % 0.38/0.57 (step @p22 :rule trans :premises (@p21 @p20)) % 0.38/0.57 (step @p23 :rule cong :premises (@p22) :args ((forall @t20 (=> @t48 @t46)))) % 0.38/0.57 (step @p24 :rule trans :premises (@p23 @p15)) % 0.38/0.57 (step @p25 :rule refl :args (@t28)) % 0.38/0.57 (step @p26 :rule refl :args (@t3)) % 0.38/0.57 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t3 @t28))) % 0.38/0.57 (step @p28 :rule symm :premises (@p27)) % 0.38/0.57 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.38/0.57 (step @p30 :rule cong :premises (@p29) :args (@t4)) % 0.38/0.57 (step @p31 :rule refl :args (@t32)) % 0.38/0.57 (step @p32 :rule refl :args (@t6)) % 0.38/0.57 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t6 @t32))) % 0.38/0.57 (step @p34 :rule symm :premises (@p33)) % 0.38/0.57 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.38/0.57 (step @p36 :rule nary_cong :premises (@p35 @p30) :args (@t7)) % 0.38/0.57 (step @p37 :rule refl :args (@t27)) % 0.38/0.57 (step @p38 :rule refl :args (@t9)) % 0.38/0.57 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t9 @t27))) % 0.38/0.57 (step @p40 :rule symm :premises (@p39)) % 0.38/0.57 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.38/0.57 (step @p42 :rule refl :args (@t33)) % 0.38/0.57 (step @p43 :rule refl :args (@t12)) % 0.38/0.57 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t12 @t33))) % 0.38/0.57 (step @p45 :rule symm :premises (@p44)) % 0.38/0.57 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.38/0.57 (step @p47 :rule cong :premises (@p46) :args (@t49)) % 0.38/0.57 (step @p48 :rule nary_cong :premises (@p47 @p41 @p36) :args (@t50)) % 0.38/0.57 (step @p49 :rule cong :premises (@p48) :args ((forall @t14 @t50))) % 0.38/0.57 (step @p50 :rule aci_norm :args ((= (or (or @t49 @t9) @t7) @t50))) % 0.38/0.57 (step @p51 :rule refl :args (@t7)) % 0.38/0.57 (step @p52 :rule bool-double-not-elim :args (@t9)) % 0.38/0.57 (step @p53 :rule refl :args (@t49)) % 0.38/0.57 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t49 (not @t10)))) % 0.38/0.57 (step @p55 :rule bool-and-de-morgan :args (@t12 @t10 true)) % 0.38/0.57 (step @p56 :rule trans :premises (@p55 @p54)) % 0.38/0.57 (step @p57 :rule nary_cong :premises (@p56 @p51) :args ((or (not @t13) @t7))) % 0.38/0.57 (step @p58 :rule trans :premises (@p57 @p50)) % 0.38/0.57 (step @p59 :rule bool-impl-elim :args (@t13 @t7)) % 0.38/0.57 (step @p60 :rule trans :premises (@p59 @p58)) % 0.38/0.57 (step @p61 :rule cong :premises (@p60) :args (@t15)) % 0.38/0.57 (step @p62 :rule trans :premises (@p61 @p49)) % 0.38/0.57 (step @p63 :rule nary_cong :premises (@p30 @p41) :args (@t51)) % 0.38/0.57 (step @p64 :rule cong :premises (@p63) :args ((forall @t14 @t51))) % 0.38/0.57 (step @p65 :rule bool-impl-elim :args (@t3 @t9)) % 0.38/0.57 (step @p66 :rule cong :premises (@p65) :args (@t16)) % 0.38/0.57 (step @p67 :rule trans :premises (@p66 @p64)) % 0.38/0.57 (step @p68 :rule nary_cong :premises (@p47 @p35) :args (@t52)) % 0.38/0.57 (step @p69 :rule cong :premises (@p68) :args ((forall @t14 @t52))) % 0.38/0.57 (step @p70 :rule bool-impl-elim :args (@t12 @t6)) % 0.38/0.57 (step @p71 :rule cong :premises (@p70) :args (@t17)) % 0.38/0.57 (step @p72 :rule trans :premises (@p71 @p69)) % 0.38/0.57 (step @p73 :rule nary_cong :premises (@p72 @p67) :args (@t18)) % 0.38/0.57 (step @p74 :rule cong :premises (@p73 @p62) :args (@t19)) % 0.38/0.57 (step @p75 :rule cong :premises (@p74) :args (@t21)) % 0.38/0.57 (step @p76 :rule trans :premises (@p75 @p24)) % 0.38/0.57 (step @p77 :rule cong :premises (@p76) :args (@t22)) % 0.38/0.57 (step @p78 :rule eq_resolve :premises (@p1 @p77)) % 0.38/0.57 (step @p79 :rule skolemize :premises (@p78)) % 0.38/0.57 (step @p80 :rule bool-double-not-elim :args (@t56)) % 0.38/0.57 (step @p81 :rule refl :args (@t70)) % 0.38/0.57 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t70 (not @t67)))) % 0.38/0.57 (step @p83 :rule cnf_or_neg :args (@t70 1)) % 0.38/0.57 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.38/0.57 (step @p85 :rule reordering :premises (@p84) :args ((or @t56 @t70))) % 0.38/0.57 (step @p86 :rule chain_m_resolution :premises (@p85 @p79) :args (@t56 @t71 @t72)) % 0.38/0.57 (step @p87 :rule bool-double-not-elim :args (@t68)) % 0.38/0.57 (step @p88 :rule nary_cong :premises (@p81 @p87) :args ((or @t70 (not @t69)))) % 0.38/0.57 (step @p89 :rule cnf_or_neg :args (@t70 0)) % 0.38/0.57 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.38/0.57 (step @p91 :rule reordering :premises (@p90) :args ((or @t68 @t70))) % 0.38/0.57 (step @p92 :rule chain_m_resolution :premises (@p91 @p79) :args (@t68 @t71 @t72)) % 0.38/0.57 (step @p93 :rule instantiate :premises (@p92) :args (@t73)) % 0.38/0.57 (step @p94 :rule bool-double-not-elim :args (@t65)) % 0.38/0.57 (step @p95 :rule nary_cong :premises (@p81 @p94) :args ((or @t70 (not @t66)))) % 0.38/0.57 (step @p96 :rule cnf_or_neg :args (@t70 2)) % 0.38/0.57 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 0.38/0.57 (step @p98 :rule reordering :premises (@p97) :args ((or @t65 @t70))) % 0.38/0.57 (step @p99 :rule chain_m_resolution :premises (@p98 @p79) :args (@t65 @t71 @t72)) % 0.38/0.57 (step @p100 :rule cnf_or_pos :args (@t74)) % 0.38/0.57 (step @p101 :rule reordering :premises (@p100) :args ((or @t66 @t61 (not @t74)))) % 0.38/0.57 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p93) :args (@t61 (@list false false) (@list @t65 @t74))) % 0.38/0.57 (step @p103 :rule cnf_or_neg :args (@t70 4)) % 0.38/0.57 (step @p104 :rule chain_m_resolution :premises (@p103 @p79) :args ((not @t62) @t71 @t72)) % 0.38/0.57 (step @p105 :rule bool-double-not-elim :args (@t58)) % 0.38/0.57 (step @p106 :rule refl :args (@t75)) % 0.38/0.57 (step @p107 :rule refl :args (@t62)) % 0.38/0.57 (step @p108 :rule nary_cong :premises (@p107 @p106 @p105) :args ((or @t62 @t75 (not @t59)))) % 0.38/0.57 (step @p109 :rule cnf_and_neg :args (@t62)) % 0.38/0.57 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 0.38/0.57 (step @p111 :rule reordering :premises (@p110) :args ((or @t58 @t62 @t75))) % 0.38/0.57 (step @p112 :rule chain_m_resolution :premises (@p111 @p104 @p102) :args (@t58 @t76 (@list @t62 @t61))) % 0.38/0.57 (step @p113 :rule cnf_or_neg :args (@t70 3)) % 0.38/0.57 (step @p114 :rule chain_m_resolution :premises (@p113 @p79) :args ((not @t63) @t71 @t72)) % 0.38/0.57 (step @p115 :rule cnf_or_pos :args (@t77)) % 0.38/0.57 (step @p116 :rule reordering :premises (@p115) :args ((or @t63 @t59 @t78))) % 0.38/0.57 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p112) :args (@t78 @t76 (@list @t63 @t58))) % 0.38/0.57 (assume-push @p124 @t56) % 0.38/0.57 (step @p119 :rule instantiate :premises (@p86) :args (@t73)) % 0.38/0.57 (step-pop @p125 :rule scope :premises (@p119)) % 0.38/0.57 (step @p120 :rule process_scope :premises (@p125) :args (@t77)) % 0.38/0.57 (step @p122 :rule implies_elim :premises (@p120)) % 0.38/0.57 (step @p123 false :rule chain_m_resolution :premises (@p122 @p117 @p86) :args (false @t76 (@list @t77 @t56))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------