%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET635^5 : 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 : n025.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 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET635^5 : 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 % 0.18/0.34 % Computer : n025.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:05:46 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.49 %----Proving TH0 % 0.38/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort tptp.a 0) % 0.38/0.56 (define @t1 () (@var "Xx" tptp.a)) % 0.38/0.56 (define @t2 () (@var "Z" (-> tptp.a Bool))) % 0.38/0.56 (define @t3 () (_ @t2 @t1)) % 0.38/0.56 (define @t4 () (@var "X" (-> tptp.a Bool))) % 0.38/0.56 (define @t5 () (_ @t4 @t1)) % 0.38/0.56 (define @t6 () (and @t5 @t3)) % 0.38/0.56 (define @t7 () (not @t6)) % 0.38/0.56 (define @t8 () (@var "Y" (-> tptp.a Bool))) % 0.38/0.56 (define @t9 () (_ @t8 @t1)) % 0.38/0.56 (define @t10 () (and @t5 @t9 @t7)) % 0.38/0.56 (define @t11 () (@list @t1)) % 0.38/0.56 (define @t12 () (lambda @t11 @t10)) % 0.38/0.56 (define @t13 () (not @t3)) % 0.38/0.56 (define @t14 () (and @t5 @t9 @t13)) % 0.38/0.56 (define @t15 () (lambda @t11 @t14)) % 0.38/0.56 (define @t16 () (= @t15 @t12)) % 0.38/0.56 (define @t17 () (@list @t4 @t8 @t2)) % 0.38/0.56 (define @t18 () (forall @t17 @t16)) % 0.38/0.56 (define @t19 () (not @t18)) % 0.38/0.56 (define @t20 () (_ @t2 @t1)) % 0.38/0.56 (define @t21 () (_ @t4 @t1)) % 0.38/0.56 (define @t22 () (_ @t8 @t1)) % 0.38/0.56 (define @t23 () (forall @t17 (= (lambda @t11 (and @t21 @t22 (not @t20))) (lambda @t11 (and @t21 @t22 (not (and @t21 @t20))))))) % 0.38/0.56 (define @t24 () (@quantifiers_skolemize @t23 2)) % 0.38/0.56 (define @t25 () (_ @t24 @t1)) % 0.38/0.56 (define @t26 () (@quantifiers_skolemize @t23 1)) % 0.38/0.56 (define @t27 () (_ @t26 @t1)) % 0.38/0.56 (define @t28 () (@quantifiers_skolemize @t23 0)) % 0.38/0.56 (define @t29 () (_ @t28 @t1)) % 0.38/0.56 (define @t30 () (lambda @t11 (and @t29 @t27 (not @t25)))) % 0.38/0.56 (define @t31 () (@purify @t30)) % 0.38/0.56 (define @t32 () (lambda @t11 (and @t29 @t27 (not (and @t29 @t25))))) % 0.38/0.56 (define @t33 () (@purify @t32)) % 0.38/0.56 (define @t34 () (= @t33 @t31)) % 0.38/0.56 (define @t35 () (not @t34)) % 0.38/0.56 (define @t36 () (not @t23)) % 0.38/0.56 (define @t37 () (= @t30 @t32)) % 0.38/0.56 (define @t38 () (not @t37)) % 0.38/0.56 (define @t39 () (@list true)) % 0.38/0.56 (define @t40 () (@const 0 tptp.a)) % 0.38/0.56 (define @t41 () (_ @t24 @t40)) % 0.38/0.56 (define @t42 () (_ @t28 @t40)) % 0.38/0.56 (define @t43 () (and @t42 @t41)) % 0.38/0.56 (define @t44 () (not @t43)) % 0.38/0.56 (define @t45 () (_ @t26 @t40)) % 0.38/0.56 (define @t46 () (and @t42 @t45 @t44)) % 0.38/0.56 (define @t47 () (not @t41)) % 0.38/0.56 (define @t48 () (and @t42 @t45 @t47)) % 0.38/0.56 (define @t49 () (= (_ @t30 @t40) @t48)) % 0.38/0.56 (define @t50 () (_ @t31 @t40)) % 0.38/0.56 (define @t51 () (= (_ @t32 @t40) @t46)) % 0.38/0.56 (define @t52 () (_ @t33 @t40)) % 0.38/0.56 (define @t53 () (= @t52 @t50)) % 0.38/0.56 (define @t54 () (not @t53)) % 0.38/0.56 (define @t55 () (or @t34 @t54)) % 0.38/0.56 (define @t56 () (= @t48 @t46)) % 0.38/0.56 (define @t57 () (not @t48)) % 0.38/0.56 (define @t58 () (not @t42)) % 0.38/0.56 (define @t59 () (not @t46)) % 0.38/0.56 (define @t60 () (@list true true true)) % 0.38/0.56 (define @t61 () (not @t45)) % 0.38/0.56 (define @t62 () (@list @t42)) % 0.38/0.56 (assume @p1 @t19) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule refl :args (@t20)) % 0.38/0.56 (step @p4 :rule refl :args (@t3)) % 0.38/0.56 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t20))) % 0.38/0.56 (step @p6 :rule symm :premises (@p5)) % 0.38/0.56 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.38/0.56 (step @p8 :rule refl :args (@t21)) % 0.38/0.56 (step @p9 :rule refl :args (@t5)) % 0.38/0.56 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t5 @t21))) % 0.38/0.56 (step @p11 :rule symm :premises (@p10)) % 0.38/0.56 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.38/0.56 (step @p13 :rule nary_cong :premises (@p12 @p7) :args (@t6)) % 0.38/0.56 (step @p14 :rule cong :premises (@p13) :args (@t7)) % 0.38/0.56 (step @p15 :rule refl :args (@t22)) % 0.38/0.56 (step @p16 :rule refl :args (@t9)) % 0.38/0.56 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t9 @t22))) % 0.38/0.56 (step @p18 :rule symm :premises (@p17)) % 0.38/0.56 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.38/0.56 (step @p20 :rule nary_cong :premises (@p12 @p19 @p14) :args (@t10)) % 0.38/0.56 (step @p21 :rule cong :premises (@p20) :args (@t12)) % 0.38/0.56 (step @p22 :rule cong :premises (@p7) :args (@t13)) % 0.38/0.56 (step @p23 :rule nary_cong :premises (@p12 @p19 @p22) :args (@t14)) % 0.38/0.56 (step @p24 :rule cong :premises (@p23) :args (@t15)) % 0.38/0.56 (step @p25 :rule cong :premises (@p24 @p21) :args (@t16)) % 0.38/0.56 (step @p26 :rule cong :premises (@p25) :args (@t18)) % 0.38/0.56 (step @p27 :rule cong :premises (@p26) :args (@t19)) % 0.38/0.56 (step @p28 :rule eq_resolve :premises (@p1 @p27)) % 0.38/0.56 (step @p29 :rule refl :args (@t35)) % 0.38/0.56 (step @p30 :rule bool-double-not-elim :args (@t23)) % 0.38/0.56 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or (not @t36) @t35))) % 0.38/0.56 (step @p32 :rule eq-symm :args (@t31 @t33)) % 0.38/0.56 (step @p33 :rule eq-refl :args (@t32)) % 0.38/0.56 (step @p34 :rule skolem_intro :args (@t33)) % 0.38/0.56 (step @p35 :rule refl :args (@t32)) % 0.38/0.56 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t32 @t33))) % 0.38/0.56 (step @p37 :rule trans :premises (@p36 @p33)) % 0.38/0.56 (step @p38 :rule true_elim :premises (@p37)) % 0.38/0.56 (step @p39 :rule eq-refl :args (@t30)) % 0.38/0.56 (step @p40 :rule skolem_intro :args (@t31)) % 0.38/0.56 (step @p41 :rule refl :args (@t30)) % 0.38/0.56 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t30 @t31))) % 0.38/0.56 (step @p43 :rule trans :premises (@p42 @p39)) % 0.38/0.56 (step @p44 :rule true_elim :premises (@p43)) % 0.38/0.56 (step @p45 :rule cong :premises (@p44 @p38) :args (@t37)) % 0.38/0.56 (step @p46 :rule trans :premises (@p45 @p32)) % 0.38/0.56 (step @p47 :rule cong :premises (@p46) :args (@t38)) % 0.38/0.56 (step @p48 :rule refl :args (@t36)) % 0.38/0.56 (step @p49 :rule cong :premises (@p48 @p47) :args ((=> @t36 @t38))) % 0.38/0.56 (assume-push @p124 @t36) % 0.38/0.56 (step @p51 :rule skolemize :premises (@p28)) % 0.38/0.56 (step-pop @p125 :rule scope :premises (@p51)) % 0.38/0.56 (step @p52 :rule process_scope :premises (@p125) :args (@t38)) % 0.38/0.56 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 0.38/0.56 (step @p55 :rule implies_elim :premises (@p54)) % 0.38/0.56 (step @p56 :rule eq_resolve :premises (@p55 @p31)) % 0.38/0.56 (step @p57 :rule chain_m_resolution :premises (@p56 @p28) :args (@t35 @t39 (@list @t23))) % 0.38/0.56 (step @p58 :rule eq-symm :args (@t46 @t48)) % 0.38/0.56 (step @p59 :rule eq-refl :args (@t48)) % 0.38/0.56 (step @p60 :rule refl :args (@t48)) % 0.38/0.56 (step @p61 :rule beta-reduce :args (@t49)) % 0.38/0.56 (step @p62 :rule cong :premises (@p61 @p60) :args (@t49)) % 0.38/0.56 (step @p63 :rule trans :premises (@p62 @p59)) % 0.38/0.56 (step @p64 :rule refl :args (@t40)) % 0.38/0.56 (step @p65 :rule ho_cong :premises (@p40 @p64)) % 0.38/0.56 (step @p66 :rule cong :premises (@p65 @p60) :args ((= @t50 @t48))) % 0.38/0.56 (step @p67 :rule trans :premises (@p66 @p63)) % 0.38/0.56 (step @p68 :rule true_elim :premises (@p67)) % 0.38/0.56 (step @p69 :rule eq-refl :args (@t46)) % 0.38/0.56 (step @p70 :rule refl :args (@t46)) % 0.38/0.56 (step @p71 :rule beta-reduce :args (@t51)) % 0.38/0.56 (step @p72 :rule cong :premises (@p71 @p70) :args (@t51)) % 0.38/0.56 (step @p73 :rule trans :premises (@p72 @p69)) % 0.38/0.56 (step @p74 :rule ho_cong :premises (@p34 @p64)) % 0.38/0.56 (step @p75 :rule cong :premises (@p74 @p70) :args ((= @t52 @t46))) % 0.38/0.56 (step @p76 :rule trans :premises (@p75 @p73)) % 0.38/0.56 (step @p77 :rule true_elim :premises (@p76)) % 0.38/0.56 (step @p78 :rule cong :premises (@p77 @p68) :args (@t53)) % 0.38/0.56 (step @p79 :rule trans :premises (@p78 @p58)) % 0.38/0.56 (step @p80 :rule cong :premises (@p79) :args (@t54)) % 0.38/0.56 (step @p81 :rule refl :args (@t34)) % 0.38/0.56 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t55)) % 0.38/0.56 ; WARNING: add trust step for TRUST % 0.38/0.56 ; trust TRUST THEORY_LEMMA % 0.38/0.56 (step @p83 :rule trust :premises () :args (@t55)) % 0.38/0.56 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.38/0.56 (step @p85 :rule chain_m_resolution :premises (@p84 @p57) :args ((not @t56) @t39 (@list @t34))) % 0.38/0.56 (step @p86 :rule cnf_and_pos :args (@t48 2)) % 0.38/0.56 (step @p87 :rule reordering :premises (@p86) :args ((or @t47 @t57))) % 0.38/0.56 (step @p88 :rule cnf_and_neg :args (@t43)) % 0.38/0.56 (step @p89 :rule reordering :premises (@p88) :args ((or @t47 @t43 @t58))) % 0.38/0.56 (step @p90 :rule cnf_equiv_neg1 :args (@t56)) % 0.38/0.56 (step @p91 :rule reordering :premises (@p90) :args ((or @t48 @t46 @t56))) % 0.38/0.56 (step @p92 :rule cnf_and_pos :args (@t46 2)) % 0.38/0.56 (step @p93 :rule reordering :premises (@p92) :args ((or @t44 @t59))) % 0.38/0.56 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p85 @p89 @p87) :args ((or @t47 @t58) (@list false true false true) (@list @t46 @t56 @t43 @t48))) % 0.38/0.56 (step @p95 :rule cnf_and_pos :args (@t48 1)) % 0.38/0.56 (step @p96 :rule reordering :premises (@p95) :args ((or @t45 @t57))) % 0.38/0.56 (step @p97 :rule cnf_and_pos :args (@t46 1)) % 0.38/0.56 (step @p98 :rule reordering :premises (@p97) :args ((or @t45 @t59))) % 0.38/0.56 (step @p99 :rule chain_m_resolution :premises (@p91 @p85 @p98 @p96) :args (@t45 @t60 (@list @t56 @t46 @t48))) % 0.38/0.56 (step @p100 :rule cnf_and_pos :args (@t43 1)) % 0.38/0.56 (step @p101 :rule reordering :premises (@p100) :args ((or @t41 @t44))) % 0.38/0.56 (step @p102 :rule bool-double-not-elim :args (@t41)) % 0.38/0.56 (step @p103 :rule refl :args (@t61)) % 0.38/0.56 (step @p104 :rule refl :args (@t58)) % 0.38/0.56 (step @p105 :rule nary_cong :premises (@p60 @p104 @p103 @p102) :args ((or @t48 @t58 @t61 (not @t47)))) % 0.38/0.56 (step @p106 :rule cnf_and_neg :args (@t48)) % 0.38/0.56 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.38/0.56 (step @p108 :rule reordering :premises (@p107) :args ((or @t41 @t48 @t58 @t61))) % 0.38/0.56 (step @p109 :rule bool-double-not-elim :args (@t43)) % 0.38/0.56 (step @p110 :rule nary_cong :premises (@p70 @p104 @p103 @p109) :args ((or @t46 @t58 @t61 (not @t44)))) % 0.38/0.56 (step @p111 :rule cnf_and_neg :args (@t46)) % 0.38/0.56 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 0.38/0.56 (step @p113 :rule reordering :premises (@p112) :args ((or @t43 @t46 @t58 @t61))) % 0.38/0.56 (step @p114 :rule cnf_equiv_neg2 :args (@t56)) % 0.38/0.56 (step @p115 :rule chain_m_resolution :premises (@p114 @p85 @p113 @p108 @p101) :args ((or @t41 @t58 @t61) (@list true false false true) (@list @t56 @t46 @t48 @t43))) % 0.38/0.56 (step @p116 :rule chain_m_resolution :premises (@p115 @p99 @p94) :args (@t58 (@list false true) (@list @t45 @t41))) % 0.38/0.56 (step @p117 :rule cnf_and_pos :args (@t48 0)) % 0.38/0.56 (step @p118 :rule reordering :premises (@p117) :args ((or @t42 @t57))) % 0.38/0.56 (step @p119 :rule chain_m_resolution :premises (@p118 @p116) :args (@t57 @t39 @t62)) % 0.38/0.56 (step @p120 :rule cnf_and_pos :args (@t46 0)) % 0.38/0.56 (step @p121 :rule reordering :premises (@p120) :args ((or @t42 @t59))) % 0.38/0.56 (step @p122 :rule chain_m_resolution :premises (@p121 @p116) :args (@t59 @t39 @t62)) % 0.38/0.56 (step @p123 false :rule chain_m_resolution :premises (@p91 @p122 @p119 @p85) :args (false @t60 (@list @t46 @t48 @t56))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------