%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU848^5 : 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 : n014.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 08:53:25 AM UTC 2026 % Result : Theorem 0.40s 0.56s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU848^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:55:43 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.49 %----Proving TH0 % 0.40/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.56 % SZS status Theorem % 0.40/0.56 % SZS output start Proof % 0.40/0.56 ( % 0.40/0.56 (declare-sort tptp.a 0) % 0.40/0.56 (define @t1 () (@var "Xx" tptp.a)) % 0.40/0.56 (define @t2 () (@var "S" (-> tptp.a Bool))) % 0.40/0.56 (define @t3 () (_ @t2 @t1)) % 0.40/0.56 (define @t4 () (@var "T" (-> tptp.a Bool))) % 0.40/0.56 (define @t5 () (_ @t4 @t1)) % 0.40/0.56 (define @t6 () (@list @t1)) % 0.40/0.56 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.40/0.56 (define @t8 () (@var "Xz" tptp.a)) % 0.40/0.56 (define @t9 () (_ @t4 @t8)) % 0.40/0.56 (define @t10 () (_ @t2 @t8)) % 0.40/0.56 (define @t11 () (or @t10 @t9)) % 0.40/0.56 (define @t12 () (@list @t8)) % 0.40/0.56 (define @t13 () (lambda @t12 @t11)) % 0.40/0.56 (define @t14 () (= (= @t13 @t2) @t7)) % 0.40/0.56 (define @t15 () (@list @t2 @t4)) % 0.40/0.56 (define @t16 () (forall @t15 @t14)) % 0.40/0.56 (define @t17 () (not @t16)) % 0.40/0.56 (define @t18 () (_ @t4 @t8)) % 0.40/0.56 (define @t19 () (_ @t2 @t8)) % 0.40/0.56 (define @t20 () (= @t2 (lambda @t12 (or @t19 @t18)))) % 0.40/0.56 (define @t21 () (_ @t2 @t1)) % 0.40/0.56 (define @t22 () (_ @t4 @t1)) % 0.40/0.56 (define @t23 () (forall @t6 (or (not @t22) @t21))) % 0.40/0.56 (define @t24 () (= @t2 @t13)) % 0.40/0.56 (define @t25 () (= @t24 @t23)) % 0.40/0.56 (define @t26 () (not @t5)) % 0.40/0.56 (define @t27 () (or @t26 @t3)) % 0.40/0.56 (define @t28 () (forall @t15 (= @t23 @t20))) % 0.40/0.56 (define @t29 () (@quantifiers_skolemize @t28 1)) % 0.40/0.56 (define @t30 () (@quantifiers_skolemize @t28 0)) % 0.40/0.56 (define @t31 () (lambda @t12 (or (_ @t30 @t8) (_ @t29 @t8)))) % 0.40/0.56 (define @t32 () (@purify @t31)) % 0.40/0.56 (define @t33 () (= @t30 @t32)) % 0.40/0.56 (define @t34 () (forall @t6 (or (not (_ @t29 @t1)) (_ @t30 @t1)))) % 0.40/0.56 (define @t35 () (= @t34 @t33)) % 0.40/0.56 (define @t36 () (not @t35)) % 0.40/0.56 (define @t37 () (not @t28)) % 0.40/0.56 (define @t38 () (= @t30 @t31)) % 0.40/0.56 (define @t39 () (= @t34 @t38)) % 0.40/0.56 (define @t40 () (not @t39)) % 0.40/0.56 (define @t41 () (@list true)) % 0.40/0.56 (define @t42 () (@const 0 tptp.a)) % 0.40/0.56 (define @t43 () (_ @t29 @t42)) % 0.40/0.56 (define @t44 () (_ @t30 @t42)) % 0.40/0.56 (define @t45 () (or @t44 @t43)) % 0.40/0.56 (define @t46 () (= (_ @t31 @t42) @t45)) % 0.40/0.56 (define @t47 () (_ @t32 @t42)) % 0.40/0.56 (define @t48 () (= @t44 @t47)) % 0.40/0.56 (define @t49 () (not @t48)) % 0.40/0.56 (define @t50 () (or @t33 @t49)) % 0.40/0.56 (define @t51 () (= @t44 @t45)) % 0.40/0.56 (define @t52 () (@list false)) % 0.40/0.56 (define @t53 () (not @t43)) % 0.40/0.56 (define @t54 () (or @t53 @t44)) % 0.40/0.56 (define @t55 () (not @t34)) % 0.40/0.56 (define @t56 () (@quantifiers_skolemize @t34 0)) % 0.40/0.56 (define @t57 () (_ @t30 @t56)) % 0.40/0.56 (define @t58 () (_ @t29 @t56)) % 0.40/0.56 (define @t59 () (not @t58)) % 0.40/0.56 (define @t60 () (or @t59 @t57)) % 0.40/0.56 (define @t61 () (not @t60)) % 0.40/0.56 (define @t62 () (@list @t60)) % 0.40/0.56 (define @t63 () (or @t57 @t58)) % 0.40/0.56 (define @t64 () (= @t57 @t63)) % 0.40/0.56 (assume @p1 @t17) % 0.40/0.56 (assume @p2 true) % 0.40/0.56 (step @p3 :rule eq-symm :args (@t20 @t23)) % 0.40/0.56 (step @p4 :rule cong :premises (@p3) :args ((forall @t15 (= @t20 @t23)))) % 0.40/0.56 (step @p5 :rule refl :args (@t23)) % 0.40/0.56 (step @p6 :rule refl :args (@t18)) % 0.40/0.56 (step @p7 :rule refl :args (@t9)) % 0.40/0.56 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t9 @t18))) % 0.40/0.56 (step @p9 :rule symm :premises (@p8)) % 0.40/0.56 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.40/0.56 (step @p11 :rule refl :args (@t19)) % 0.40/0.56 (step @p12 :rule refl :args (@t10)) % 0.40/0.56 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t10 @t19))) % 0.40/0.56 (step @p14 :rule symm :premises (@p13)) % 0.40/0.56 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.40/0.56 (step @p16 :rule nary_cong :premises (@p15 @p10) :args (@t11)) % 0.40/0.56 (step @p17 :rule cong :premises (@p16) :args (@t13)) % 0.40/0.56 (step @p18 :rule refl :args (@t2)) % 0.40/0.56 (step @p19 :rule cong :premises (@p18 @p17) :args (@t24)) % 0.40/0.56 (step @p20 :rule cong :premises (@p19 @p5) :args (@t25)) % 0.40/0.56 (step @p21 :rule cong :premises (@p20) :args ((forall @t15 @t25))) % 0.40/0.56 (step @p22 :rule trans :premises (@p21 @p4)) % 0.40/0.56 (step @p23 :rule refl :args (@t21)) % 0.40/0.56 (step @p24 :rule refl :args (@t3)) % 0.40/0.56 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t3 @t21))) % 0.40/0.56 (step @p26 :rule symm :premises (@p25)) % 0.40/0.56 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.40/0.56 (step @p28 :rule refl :args (@t22)) % 0.40/0.56 (step @p29 :rule refl :args (@t5)) % 0.40/0.56 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t5 @t22))) % 0.40/0.56 (step @p31 :rule symm :premises (@p30)) % 0.40/0.56 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.40/0.56 (step @p33 :rule cong :premises (@p32) :args (@t26)) % 0.40/0.56 (step @p34 :rule nary_cong :premises (@p33 @p27) :args (@t27)) % 0.40/0.56 (step @p35 :rule cong :premises (@p34) :args ((forall @t6 @t27))) % 0.40/0.56 (step @p36 :rule bool-impl-elim :args (@t5 @t3)) % 0.40/0.56 (step @p37 :rule cong :premises (@p36) :args (@t7)) % 0.40/0.56 (step @p38 :rule trans :premises (@p37 @p35)) % 0.40/0.56 (step @p39 :rule eq-symm :args (@t13 @t2)) % 0.40/0.56 (step @p40 :rule cong :premises (@p39 @p38) :args (@t14)) % 0.40/0.56 (step @p41 :rule cong :premises (@p40) :args (@t16)) % 0.40/0.56 (step @p42 :rule trans :premises (@p41 @p22)) % 0.40/0.56 (step @p43 :rule cong :premises (@p42) :args (@t17)) % 0.40/0.56 (step @p44 :rule eq_resolve :premises (@p1 @p43)) % 0.40/0.56 (step @p45 :rule refl :args (@t36)) % 0.40/0.56 (step @p46 :rule bool-double-not-elim :args (@t28)) % 0.40/0.56 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or (not @t37) @t36))) % 0.40/0.56 (step @p48 :rule eq-refl :args (@t31)) % 0.40/0.56 (step @p49 :rule skolem_intro :args (@t32)) % 0.40/0.56 (step @p50 :rule refl :args (@t31)) % 0.40/0.56 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t31 @t32))) % 0.40/0.56 (step @p52 :rule trans :premises (@p51 @p48)) % 0.40/0.56 (step @p53 :rule true_elim :premises (@p52)) % 0.40/0.56 (step @p54 :rule refl :args (@t30)) % 0.40/0.56 (step @p55 :rule cong :premises (@p54 @p53) :args (@t38)) % 0.40/0.56 (step @p56 :rule refl :args (@t34)) % 0.40/0.56 (step @p57 :rule cong :premises (@p56 @p55) :args (@t39)) % 0.40/0.56 (step @p58 :rule cong :premises (@p57) :args (@t40)) % 0.40/0.56 (step @p59 :rule refl :args (@t37)) % 0.40/0.56 (step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t37 @t40))) % 0.40/0.56 (assume-push @p133 @t37) % 0.40/0.56 (step @p62 :rule skolemize :premises (@p44)) % 0.40/0.56 (step-pop @p134 :rule scope :premises (@p62)) % 0.40/0.56 (step @p63 :rule process_scope :premises (@p134) :args (@t40)) % 0.40/0.56 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 0.40/0.56 (step @p66 :rule implies_elim :premises (@p65)) % 0.40/0.56 (step @p67 :rule eq_resolve :premises (@p66 @p47)) % 0.40/0.56 (step @p68 :rule chain_m_resolution :premises (@p67 @p44) :args (@t36 @t41 (@list @t28))) % 0.40/0.56 (step @p69 :rule cnf_equiv_neg2 :args (@t35)) % 0.40/0.56 (step @p70 :rule eq-refl :args (@t45)) % 0.40/0.56 (step @p71 :rule refl :args (@t45)) % 0.40/0.56 (step @p72 :rule beta-reduce :args (@t46)) % 0.40/0.56 (step @p73 :rule cong :premises (@p72 @p71) :args (@t46)) % 0.40/0.56 (step @p74 :rule trans :premises (@p73 @p70)) % 0.40/0.56 (step @p75 :rule refl :args (@t42)) % 0.40/0.56 (step @p76 :rule ho_cong :premises (@p49 @p75)) % 0.40/0.56 (step @p77 :rule cong :premises (@p76 @p71) :args ((= @t47 @t45))) % 0.40/0.56 (step @p78 :rule trans :premises (@p77 @p74)) % 0.40/0.56 (step @p79 :rule true_elim :premises (@p78)) % 0.40/0.56 (step @p80 :rule refl :args (@t44)) % 0.40/0.56 (step @p81 :rule cong :premises (@p80 @p79) :args (@t48)) % 0.40/0.56 (step @p82 :rule cong :premises (@p81) :args (@t49)) % 0.40/0.56 (step @p83 :rule refl :args (@t33)) % 0.40/0.56 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t50)) % 0.40/0.56 ; WARNING: add trust step for TRUST % 0.40/0.56 ; trust TRUST THEORY_LEMMA % 0.40/0.56 (step @p85 :rule trust :premises () :args (@t50)) % 0.40/0.56 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.40/0.56 (step @p87 :rule cnf_or_neg :args (@t45 0)) % 0.40/0.56 (step @p88 :rule cnf_equiv_neg2 :args (@t51)) % 0.40/0.56 (step @p89 :rule chain_m_resolution :premises (@p88 @p87) :args ((or @t51 (not @t44)) @t52 (@list @t45))) % 0.40/0.56 (step @p90 :rule cnf_equiv_neg1 :args (@t51)) % 0.40/0.56 (step @p91 :rule reordering :premises (@p90) :args ((or @t44 @t45 @t51))) % 0.40/0.56 (step @p92 :rule cnf_or_pos :args (@t45)) % 0.40/0.56 (step @p93 :rule reordering :premises (@p92) :args ((or @t44 @t43 (not @t45)))) % 0.40/0.56 (step @p94 :rule cnf_or_pos :args (@t54)) % 0.40/0.56 (step @p95 :rule reordering :premises (@p94) :args ((or @t44 @t53 (not @t54)))) % 0.40/0.56 (assume-push @p135 @t34) % 0.40/0.56 (step @p97 :rule instantiate :premises (@p135) :args ((@list @t42))) % 0.40/0.56 (step-pop @p136 :rule scope :premises (@p97)) % 0.40/0.56 (step @p98 :rule process_scope :premises (@p136) :args (@t54)) % 0.40/0.56 (step @p100 :rule implies_elim :premises (@p98)) % 0.40/0.56 (step @p101 :rule chain_m_resolution :premises (@p100 @p95 @p93 @p91 @p89 @p86 @p69 @p68) :args (@t55 (@list true false false true true true true) (@list @t54 @t43 @t45 @t44 @t51 @t33 @t35))) % 0.40/0.56 (step @p102 :rule refl :args (@t61)) % 0.40/0.56 (step @p103 :rule bool-double-not-elim :args (@t34)) % 0.40/0.56 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or (not @t55) @t61))) % 0.40/0.56 (assume-push @p137 @t55) % 0.40/0.56 (step @p106 :rule skolemize :premises (@p137)) % 0.40/0.56 (step-pop @p138 :rule scope :premises (@p106)) % 0.40/0.56 (step @p107 :rule process_scope :premises (@p138) :args (@t61)) % 0.40/0.56 (step @p109 :rule implies_elim :premises (@p107)) % 0.40/0.56 (step @p110 :rule eq_resolve :premises (@p109 @p104)) % 0.40/0.56 (step @p111 :rule chain_m_resolution :premises (@p110 @p101) :args (@t61 @t41 (@list @t34))) % 0.40/0.56 (step @p112 :rule cnf_or_neg :args (@t60 1)) % 0.40/0.56 (step @p113 :rule chain_m_resolution :premises (@p112 @p111) :args ((not @t57) @t41 @t62)) % 0.40/0.56 (step @p114 :rule bool-double-not-elim :args (@t58)) % 0.40/0.56 (step @p115 :rule refl :args (@t60)) % 0.40/0.56 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or @t60 (not @t59)))) % 0.40/0.56 (step @p117 :rule cnf_or_neg :args (@t60 0)) % 0.40/0.56 (step @p118 :rule eq_resolve :premises (@p117 @p116)) % 0.40/0.56 (step @p119 :rule reordering :premises (@p118) :args ((or @t58 @t60))) % 0.40/0.56 (step @p120 :rule chain_m_resolution :premises (@p119 @p111) :args (@t58 @t41 @t62)) % 0.40/0.56 (step @p121 :rule cnf_or_neg :args (@t63 1)) % 0.40/0.56 (step @p122 :rule reordering :premises (@p121) :args ((or @t59 @t63))) % 0.40/0.56 (step @p123 :rule chain_m_resolution :premises (@p122 @p120) :args (@t63 @t52 (@list @t58))) % 0.40/0.56 (step @p124 :rule cnf_equiv_neg1 :args (@t35)) % 0.40/0.56 (step @p125 :rule reordering :premises (@p124) :args ((or @t34 @t33 @t35))) % 0.40/0.56 (step @p126 :rule chain_m_resolution :premises (@p125 @p101 @p68) :args (@t33 (@list true true) (@list @t34 @t35))) % 0.40/0.56 ; trust TRUST THEORY_LEMMA % 0.40/0.56 (step @p127 :rule trust :premises () :args ((=> @t33 @t64))) % 0.40/0.56 (step @p128 :rule implies_elim :premises (@p127)) % 0.40/0.56 (step @p129 :rule chain_m_resolution :premises (@p128 @p126) :args (@t64 @t52 (@list @t33))) % 0.40/0.56 (step @p130 :rule cnf_equiv_pos2 :args (@t64)) % 0.40/0.56 (step @p131 :rule reordering :premises (@p130) :args ((or @t57 (not @t63) (not @t64)))) % 0.40/0.56 (step @p132 false :rule chain_m_resolution :premises (@p131 @p129 @p123 @p113) :args (false (@list false false true) (@list @t64 @t63 @t57))) % 0.40/0.56 ) % 0.40/0.56 % SZS output end Proof % 0.40/0.56 % cvc5 exiting %------------------------------------------------------------------------------