%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU849^5 : 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 : n007.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 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU849^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n007.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 17:54:41 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.39/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort tptp.a 0) % 0.39/0.57 (define @t1 () (@var "Xx" tptp.a)) % 0.39/0.57 (define @t2 () (@var "T" (-> tptp.a Bool))) % 0.39/0.57 (define @t3 () (_ @t2 @t1)) % 0.39/0.57 (define @t4 () (@var "S" (-> tptp.a Bool))) % 0.39/0.57 (define @t5 () (_ @t4 @t1)) % 0.39/0.57 (define @t6 () (@list @t1)) % 0.39/0.57 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.39/0.57 (define @t8 () (and @t5 @t3)) % 0.39/0.57 (define @t9 () (lambda @t6 @t8)) % 0.39/0.57 (define @t10 () (= (= @t9 @t4) @t7)) % 0.39/0.57 (define @t11 () (@list @t4 @t2)) % 0.39/0.57 (define @t12 () (forall @t11 @t10)) % 0.39/0.57 (define @t13 () (not @t12)) % 0.39/0.57 (define @t14 () (_ @t2 @t1)) % 0.39/0.57 (define @t15 () (_ @t4 @t1)) % 0.39/0.57 (define @t16 () (= @t4 (lambda @t6 (and @t15 @t14)))) % 0.39/0.57 (define @t17 () (forall @t6 (or (not @t15) @t14))) % 0.39/0.57 (define @t18 () (= @t4 @t9)) % 0.39/0.57 (define @t19 () (= @t18 @t17)) % 0.39/0.57 (define @t20 () (not @t5)) % 0.39/0.57 (define @t21 () (or @t20 @t3)) % 0.39/0.57 (define @t22 () (forall @t11 (= @t17 @t16))) % 0.39/0.57 (define @t23 () (@quantifiers_skolemize @t22 1)) % 0.39/0.57 (define @t24 () (_ @t23 @t1)) % 0.39/0.57 (define @t25 () (@quantifiers_skolemize @t22 0)) % 0.39/0.57 (define @t26 () (_ @t25 @t1)) % 0.39/0.57 (define @t27 () (lambda @t6 (and @t26 @t24))) % 0.39/0.57 (define @t28 () (@purify @t27)) % 0.39/0.57 (define @t29 () (= @t25 @t28)) % 0.39/0.57 (define @t30 () (forall @t6 (or (not @t26) @t24))) % 0.39/0.57 (define @t31 () (= @t30 @t29)) % 0.39/0.57 (define @t32 () (not @t31)) % 0.39/0.57 (define @t33 () (not @t22)) % 0.39/0.57 (define @t34 () (= @t25 @t27)) % 0.39/0.57 (define @t35 () (= @t30 @t34)) % 0.39/0.57 (define @t36 () (not @t35)) % 0.39/0.57 (define @t37 () (@list true)) % 0.39/0.57 (define @t38 () (@const 0 tptp.a)) % 0.39/0.57 (define @t39 () (_ @t23 @t38)) % 0.39/0.57 (define @t40 () (_ @t25 @t38)) % 0.39/0.57 (define @t41 () (and @t40 @t39)) % 0.39/0.57 (define @t42 () (= (_ @t27 @t38) @t41)) % 0.39/0.57 (define @t43 () (_ @t28 @t38)) % 0.39/0.57 (define @t44 () (= @t40 @t43)) % 0.39/0.57 (define @t45 () (not @t44)) % 0.39/0.57 (define @t46 () (or @t29 @t45)) % 0.39/0.57 (define @t47 () (not @t40)) % 0.39/0.57 (define @t48 () (or @t47 @t39)) % 0.39/0.57 (define @t49 () (= @t40 @t41)) % 0.39/0.57 (define @t50 () (not @t48)) % 0.39/0.57 (define @t51 () (not @t30)) % 0.39/0.57 (define @t52 () (@quantifiers_skolemize @t30 0)) % 0.39/0.57 (define @t53 () (_ @t23 @t52)) % 0.39/0.57 (define @t54 () (_ @t25 @t52)) % 0.39/0.57 (define @t55 () (not @t54)) % 0.39/0.57 (define @t56 () (or @t55 @t53)) % 0.39/0.57 (define @t57 () (not @t56)) % 0.39/0.57 (define @t58 () (@list @t56)) % 0.39/0.57 (define @t59 () (and @t54 @t53)) % 0.39/0.57 (define @t60 () (not @t59)) % 0.39/0.57 (define @t61 () (= @t54 @t59)) % 0.39/0.57 (assume @p1 @t13) % 0.39/0.57 (assume @p2 true) % 0.39/0.57 (step @p3 :rule eq-symm :args (@t16 @t17)) % 0.39/0.57 (step @p4 :rule cong :premises (@p3) :args ((forall @t11 (= @t16 @t17)))) % 0.39/0.57 (step @p5 :rule refl :args (@t17)) % 0.39/0.57 (step @p6 :rule refl :args (@t14)) % 0.39/0.57 (step @p7 :rule refl :args (@t3)) % 0.39/0.57 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t3 @t14))) % 0.39/0.57 (step @p9 :rule symm :premises (@p8)) % 0.39/0.57 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.39/0.57 (step @p11 :rule refl :args (@t15)) % 0.39/0.57 (step @p12 :rule refl :args (@t5)) % 0.39/0.57 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t5 @t15))) % 0.39/0.57 (step @p14 :rule symm :premises (@p13)) % 0.39/0.57 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.39/0.57 (step @p16 :rule nary_cong :premises (@p15 @p10) :args (@t8)) % 0.39/0.57 (step @p17 :rule cong :premises (@p16) :args (@t9)) % 0.39/0.57 (step @p18 :rule refl :args (@t4)) % 0.39/0.57 (step @p19 :rule cong :premises (@p18 @p17) :args (@t18)) % 0.39/0.57 (step @p20 :rule cong :premises (@p19 @p5) :args (@t19)) % 0.39/0.57 (step @p21 :rule cong :premises (@p20) :args ((forall @t11 @t19))) % 0.39/0.57 (step @p22 :rule trans :premises (@p21 @p4)) % 0.39/0.57 (step @p23 :rule cong :premises (@p15) :args (@t20)) % 0.39/0.57 (step @p24 :rule nary_cong :premises (@p23 @p10) :args (@t21)) % 0.39/0.57 (step @p25 :rule cong :premises (@p24) :args ((forall @t6 @t21))) % 0.39/0.57 (step @p26 :rule bool-impl-elim :args (@t5 @t3)) % 0.39/0.57 (step @p27 :rule cong :premises (@p26) :args (@t7)) % 0.39/0.57 (step @p28 :rule trans :premises (@p27 @p25)) % 0.39/0.57 (step @p29 :rule eq-symm :args (@t9 @t4)) % 0.39/0.57 (step @p30 :rule cong :premises (@p29 @p28) :args (@t10)) % 0.39/0.57 (step @p31 :rule cong :premises (@p30) :args (@t12)) % 0.39/0.57 (step @p32 :rule trans :premises (@p31 @p22)) % 0.39/0.57 (step @p33 :rule cong :premises (@p32) :args (@t13)) % 0.39/0.57 (step @p34 :rule eq_resolve :premises (@p1 @p33)) % 0.39/0.57 (step @p35 :rule refl :args (@t32)) % 0.39/0.57 (step @p36 :rule bool-double-not-elim :args (@t22)) % 0.39/0.57 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or (not @t33) @t32))) % 0.39/0.57 (step @p38 :rule eq-refl :args (@t27)) % 0.39/0.57 (step @p39 :rule skolem_intro :args (@t28)) % 0.39/0.57 (step @p40 :rule refl :args (@t27)) % 0.39/0.57 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t27 @t28))) % 0.39/0.57 (step @p42 :rule trans :premises (@p41 @p38)) % 0.39/0.57 (step @p43 :rule true_elim :premises (@p42)) % 0.39/0.57 (step @p44 :rule refl :args (@t25)) % 0.39/0.57 (step @p45 :rule cong :premises (@p44 @p43) :args (@t34)) % 0.39/0.57 (step @p46 :rule refl :args (@t30)) % 0.39/0.57 (step @p47 :rule cong :premises (@p46 @p45) :args (@t35)) % 0.39/0.57 (step @p48 :rule cong :premises (@p47) :args (@t36)) % 0.39/0.57 (step @p49 :rule refl :args (@t33)) % 0.39/0.57 (step @p50 :rule cong :premises (@p49 @p48) :args ((=> @t33 @t36))) % 0.39/0.57 (assume-push @p123 @t33) % 0.39/0.57 (step @p52 :rule skolemize :premises (@p34)) % 0.39/0.57 (step-pop @p124 :rule scope :premises (@p52)) % 0.39/0.57 (step @p53 :rule process_scope :premises (@p124) :args (@t36)) % 0.39/0.57 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 0.39/0.57 (step @p56 :rule implies_elim :premises (@p55)) % 0.39/0.57 (step @p57 :rule eq_resolve :premises (@p56 @p37)) % 0.39/0.57 (step @p58 :rule chain_m_resolution :premises (@p57 @p34) :args (@t32 @t37 (@list @t22))) % 0.39/0.57 (step @p59 :rule cnf_equiv_neg2 :args (@t31)) % 0.39/0.57 (step @p60 :rule eq-refl :args (@t41)) % 0.39/0.57 (step @p61 :rule refl :args (@t41)) % 0.39/0.57 (step @p62 :rule beta-reduce :args (@t42)) % 0.39/0.57 (step @p63 :rule cong :premises (@p62 @p61) :args (@t42)) % 0.39/0.57 (step @p64 :rule trans :premises (@p63 @p60)) % 0.39/0.57 (step @p65 :rule refl :args (@t38)) % 0.39/0.57 (step @p66 :rule ho_cong :premises (@p39 @p65)) % 0.39/0.57 (step @p67 :rule cong :premises (@p66 @p61) :args ((= @t43 @t41))) % 0.39/0.57 (step @p68 :rule trans :premises (@p67 @p64)) % 0.39/0.57 (step @p69 :rule true_elim :premises (@p68)) % 0.39/0.57 (step @p70 :rule refl :args (@t40)) % 0.39/0.57 (step @p71 :rule cong :premises (@p70 @p69) :args (@t44)) % 0.39/0.57 (step @p72 :rule cong :premises (@p71) :args (@t45)) % 0.39/0.57 (step @p73 :rule refl :args (@t29)) % 0.39/0.57 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t46)) % 0.39/0.57 ; WARNING: add trust step for TRUST % 0.39/0.57 ; trust TRUST THEORY_LEMMA % 0.39/0.57 (step @p75 :rule trust :premises () :args (@t46)) % 0.39/0.57 (step @p76 :rule eq_resolve :premises (@p75 @p74)) % 0.39/0.57 (assume-push @p125 @t30) % 0.39/0.57 (step @p78 :rule instantiate :premises (@p125) :args ((@list @t38))) % 0.39/0.57 (step-pop @p126 :rule scope :premises (@p78)) % 0.39/0.57 (step @p79 :rule process_scope :premises (@p126) :args (@t48)) % 0.39/0.57 (step @p81 :rule implies_elim :premises (@p79)) % 0.39/0.57 (step @p82 :rule cnf_equiv_neg2 :args (@t49)) % 0.39/0.57 (step @p83 :rule cnf_or_pos :args (@t48)) % 0.39/0.57 (step @p84 :rule reordering :premises (@p83) :args ((or @t39 @t47 @t50))) % 0.39/0.57 (step @p85 :rule cnf_and_neg :args (@t41)) % 0.39/0.57 (step @p86 :rule chain_m_resolution :premises (@p85 @p84 @p82) :args ((or @t49 @t47 @t50) (@list false true) (@list @t39 @t41))) % 0.39/0.57 (step @p87 :rule cnf_and_pos :args (@t41 0)) % 0.39/0.57 (step @p88 :rule reordering :premises (@p87) :args ((or @t40 (not @t41)))) % 0.39/0.57 (step @p89 :rule cnf_equiv_neg1 :args (@t49)) % 0.39/0.57 (step @p90 :rule reordering :premises (@p89) :args ((or @t40 @t41 @t49))) % 0.39/0.57 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p86 @p81 @p76 @p59 @p58) :args (@t51 (@list true true false true true true) (@list @t41 @t40 @t48 @t49 @t29 @t31))) % 0.39/0.57 (step @p92 :rule refl :args (@t57)) % 0.39/0.57 (step @p93 :rule bool-double-not-elim :args (@t30)) % 0.39/0.57 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or (not @t51) @t57))) % 0.39/0.57 (assume-push @p127 @t51) % 0.39/0.57 (step @p96 :rule skolemize :premises (@p127)) % 0.39/0.57 (step-pop @p128 :rule scope :premises (@p96)) % 0.39/0.57 (step @p97 :rule process_scope :premises (@p128) :args (@t57)) % 0.39/0.57 (step @p99 :rule implies_elim :premises (@p97)) % 0.39/0.57 (step @p100 :rule eq_resolve :premises (@p99 @p94)) % 0.39/0.57 (step @p101 :rule chain_m_resolution :premises (@p100 @p91) :args (@t57 @t37 (@list @t30))) % 0.39/0.57 (step @p102 :rule bool-double-not-elim :args (@t54)) % 0.39/0.57 (step @p103 :rule refl :args (@t56)) % 0.39/0.57 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t56 (not @t55)))) % 0.39/0.57 (step @p105 :rule cnf_or_neg :args (@t56 0)) % 0.39/0.57 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.39/0.57 (step @p107 :rule reordering :premises (@p106) :args ((or @t54 @t56))) % 0.39/0.57 (step @p108 :rule chain_m_resolution :premises (@p107 @p101) :args (@t54 @t37 @t58)) % 0.39/0.57 (step @p109 :rule cnf_or_neg :args (@t56 1)) % 0.39/0.57 (step @p110 :rule chain_m_resolution :premises (@p109 @p101) :args ((not @t53) @t37 @t58)) % 0.39/0.57 (step @p111 :rule cnf_and_pos :args (@t59 1)) % 0.39/0.57 (step @p112 :rule reordering :premises (@p111) :args ((or @t53 @t60))) % 0.39/0.57 (step @p113 :rule chain_m_resolution :premises (@p112 @p110) :args (@t60 @t37 (@list @t53))) % 0.39/0.57 (step @p114 :rule cnf_equiv_neg1 :args (@t31)) % 0.39/0.57 (step @p115 :rule reordering :premises (@p114) :args ((or @t30 @t29 @t31))) % 0.39/0.57 (step @p116 :rule chain_m_resolution :premises (@p115 @p91 @p58) :args (@t29 (@list true true) (@list @t30 @t31))) % 0.39/0.57 ; trust TRUST THEORY_LEMMA % 0.39/0.57 (step @p117 :rule trust :premises () :args ((=> @t29 @t61))) % 0.39/0.57 (step @p118 :rule implies_elim :premises (@p117)) % 0.39/0.57 (step @p119 :rule chain_m_resolution :premises (@p118 @p116) :args (@t61 (@list false) (@list @t29))) % 0.39/0.57 (step @p120 :rule cnf_equiv_pos1 :args (@t61)) % 0.39/0.57 (step @p121 :rule reordering :premises (@p120) :args ((or @t55 @t59 (not @t61)))) % 0.39/0.57 (step @p122 false :rule chain_m_resolution :premises (@p121 @p119 @p113 @p108) :args (false (@list false true false) (@list @t61 @t59 @t54))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------