%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU845^5 : 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 : n018.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 08:53:24 AM UTC 2026 % Result : Theorem 0.29s 0.55s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU845^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n018.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 17:54:50 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.29/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.55 % SZS status Theorem % 0.29/0.55 % SZS output start Proof % 0.29/0.55 ( % 0.29/0.55 (declare-sort tptp.a 0) % 0.29/0.55 (define @t1 () (@var "Xx" tptp.a)) % 0.29/0.55 (define @t2 () (@var "S" (-> tptp.a Bool))) % 0.29/0.55 (define @t3 () (_ @t2 @t1)) % 0.29/0.55 (define @t4 () (not @t3)) % 0.29/0.55 (define @t5 () (@var "T" (-> tptp.a Bool))) % 0.29/0.55 (define @t6 () (_ @t5 @t1)) % 0.29/0.55 (define @t7 () (and @t6 @t4)) % 0.29/0.55 (define @t8 () (not @t7)) % 0.29/0.55 (define @t9 () (and @t6 @t8)) % 0.29/0.55 (define @t10 () (@list @t1)) % 0.29/0.55 (define @t11 () (lambda @t10 @t9)) % 0.29/0.55 (define @t12 () (= @t2 @t11)) % 0.29/0.55 (define @t13 () (forall @t10 (=> @t3 @t6))) % 0.29/0.55 (define @t14 () (=> @t13 @t12)) % 0.29/0.55 (define @t15 () (@list @t2 @t5)) % 0.29/0.55 (define @t16 () (forall @t15 @t14)) % 0.29/0.55 (define @t17 () (not @t16)) % 0.29/0.55 (define @t18 () (@const 0 tptp.a)) % 0.29/0.55 (define @t19 () (_ @t2 @t1)) % 0.29/0.55 (define @t20 () (not @t19)) % 0.29/0.55 (define @t21 () (_ @t5 @t1)) % 0.29/0.55 (define @t22 () (forall @t10 (or @t20 @t21))) % 0.29/0.55 (define @t23 () (not @t22)) % 0.29/0.55 (define @t24 () (forall @t15 (or @t23 (= @t2 (lambda @t10 (and @t21 (not (and @t21 @t20)))))))) % 0.29/0.55 (define @t25 () (@quantifiers_skolemize @t24 0)) % 0.29/0.55 (define @t26 () (_ @t25 @t18)) % 0.29/0.55 (define @t27 () (not @t26)) % 0.29/0.55 (define @t28 () (@quantifiers_skolemize @t24 1)) % 0.29/0.55 (define @t29 () (_ @t28 @t18)) % 0.29/0.55 (define @t30 () (and @t29 @t27)) % 0.29/0.55 (define @t31 () (not @t30)) % 0.29/0.55 (define @t32 () (or @t23 @t12)) % 0.29/0.55 (define @t33 () (or @t4 @t6)) % 0.29/0.55 (define @t34 () (not (_ @t25 @t1))) % 0.29/0.55 (define @t35 () (_ @t28 @t1)) % 0.29/0.55 (define @t36 () (lambda @t10 (and @t35 (not (and @t35 @t34))))) % 0.29/0.55 (define @t37 () (@purify @t36)) % 0.29/0.55 (define @t38 () (= @t25 @t37)) % 0.29/0.55 (define @t39 () (forall @t10 (or @t34 @t35))) % 0.29/0.55 (define @t40 () (not @t39)) % 0.29/0.55 (define @t41 () (or @t40 @t38)) % 0.29/0.55 (define @t42 () (not @t41)) % 0.29/0.55 (define @t43 () (not @t24)) % 0.29/0.55 (define @t44 () (= @t25 @t36)) % 0.29/0.55 (define @t45 () (or @t40 @t44)) % 0.29/0.55 (define @t46 () (not @t45)) % 0.29/0.55 (define @t47 () (@list true)) % 0.29/0.55 (define @t48 () (@list @t41)) % 0.29/0.55 (define @t49 () (and @t29 @t31)) % 0.29/0.55 (define @t50 () (= (_ @t36 @t18) @t49)) % 0.29/0.55 (define @t51 () (_ @t37 @t18)) % 0.29/0.55 (define @t52 () (= @t26 @t51)) % 0.29/0.55 (define @t53 () (not @t52)) % 0.29/0.55 (define @t54 () (or @t38 @t53)) % 0.29/0.55 (define @t55 () (= @t26 @t49)) % 0.29/0.55 (define @t56 () (not @t49)) % 0.29/0.55 (define @t57 () (or @t27 @t29)) % 0.29/0.55 (define @t58 () (not @t29)) % 0.29/0.55 (define @t59 () (@list false)) % 0.29/0.55 (define @t60 () (@list @t49)) % 0.29/0.55 (assume @p1 @t17) % 0.29/0.55 (assume @p2 true) % 0.29/0.55 (step @p3 :rule cnf_and_pos :args (@t30 1)) % 0.29/0.55 (step @p4 :rule reordering :premises (@p3) :args ((or @t27 @t31))) % 0.29/0.55 (step @p5 :rule refl :args (@t19)) % 0.29/0.55 (step @p6 :rule refl :args (@t3)) % 0.29/0.55 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t3 @t19))) % 0.29/0.55 (step @p8 :rule symm :premises (@p7)) % 0.29/0.55 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.29/0.55 (step @p10 :rule cong :premises (@p9) :args (@t4)) % 0.29/0.55 (step @p11 :rule refl :args (@t21)) % 0.29/0.55 (step @p12 :rule refl :args (@t6)) % 0.29/0.55 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t6 @t21))) % 0.29/0.55 (step @p14 :rule symm :premises (@p13)) % 0.29/0.55 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.29/0.55 (step @p16 :rule nary_cong :premises (@p15 @p10) :args (@t7)) % 0.29/0.55 (step @p17 :rule cong :premises (@p16) :args (@t8)) % 0.29/0.55 (step @p18 :rule nary_cong :premises (@p15 @p17) :args (@t9)) % 0.29/0.55 (step @p19 :rule cong :premises (@p18) :args (@t11)) % 0.29/0.55 (step @p20 :rule refl :args (@t2)) % 0.29/0.55 (step @p21 :rule cong :premises (@p20 @p19) :args (@t12)) % 0.29/0.55 (step @p22 :rule refl :args (@t23)) % 0.29/0.55 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t32)) % 0.29/0.55 (step @p24 :rule cong :premises (@p23) :args ((forall @t15 @t32))) % 0.29/0.55 (step @p25 :rule bool-impl-elim :args (@t22 @t12)) % 0.29/0.55 (step @p26 :rule cong :premises (@p25) :args ((forall @t15 (=> @t22 @t12)))) % 0.29/0.55 (step @p27 :rule trans :premises (@p26 @p24)) % 0.29/0.55 (step @p28 :rule refl :args (@t12)) % 0.29/0.55 (step @p29 :rule nary_cong :premises (@p10 @p15) :args (@t33)) % 0.29/0.55 (step @p30 :rule cong :premises (@p29) :args ((forall @t10 @t33))) % 0.29/0.55 (step @p31 :rule bool-impl-elim :args (@t3 @t6)) % 0.29/0.55 (step @p32 :rule cong :premises (@p31) :args (@t13)) % 0.29/0.55 (step @p33 :rule trans :premises (@p32 @p30)) % 0.29/0.55 (step @p34 :rule cong :premises (@p33 @p28) :args (@t14)) % 0.29/0.55 (step @p35 :rule cong :premises (@p34) :args (@t16)) % 0.29/0.55 (step @p36 :rule trans :premises (@p35 @p27)) % 0.29/0.55 (step @p37 :rule cong :premises (@p36) :args (@t17)) % 0.29/0.55 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 0.29/0.55 (step @p39 :rule refl :args (@t42)) % 0.29/0.55 (step @p40 :rule bool-double-not-elim :args (@t24)) % 0.29/0.55 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t43) @t42))) % 0.29/0.55 (step @p42 :rule eq-refl :args (@t36)) % 0.29/0.55 (step @p43 :rule skolem_intro :args (@t37)) % 0.29/0.55 (step @p44 :rule refl :args (@t36)) % 0.29/0.55 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t36 @t37))) % 0.29/0.55 (step @p46 :rule trans :premises (@p45 @p42)) % 0.29/0.55 (step @p47 :rule true_elim :premises (@p46)) % 0.29/0.55 (step @p48 :rule refl :args (@t25)) % 0.29/0.55 (step @p49 :rule cong :premises (@p48 @p47) :args (@t44)) % 0.29/0.55 (step @p50 :rule refl :args (@t40)) % 0.29/0.55 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t45)) % 0.29/0.55 (step @p52 :rule cong :premises (@p51) :args (@t46)) % 0.29/0.55 (step @p53 :rule refl :args (@t43)) % 0.29/0.55 (step @p54 :rule cong :premises (@p53 @p52) :args ((=> @t43 @t46))) % 0.29/0.55 (assume-push @p118 @t43) % 0.29/0.55 (step @p56 :rule skolemize :premises (@p38)) % 0.29/0.55 (step-pop @p119 :rule scope :premises (@p56)) % 0.29/0.55 (step @p57 :rule process_scope :premises (@p119) :args (@t46)) % 0.29/0.55 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 0.29/0.55 (step @p60 :rule implies_elim :premises (@p59)) % 0.29/0.55 (step @p61 :rule eq_resolve :premises (@p60 @p41)) % 0.29/0.55 (step @p62 :rule chain_m_resolution :premises (@p61 @p38) :args (@t42 @t47 (@list @t24))) % 0.29/0.55 (step @p63 :rule cnf_or_neg :args (@t41 1)) % 0.29/0.55 (step @p64 :rule chain_m_resolution :premises (@p63 @p62) :args ((not @t38) @t47 @t48)) % 0.29/0.55 (step @p65 :rule eq-refl :args (@t49)) % 0.29/0.55 (step @p66 :rule refl :args (@t49)) % 0.29/0.55 (step @p67 :rule beta-reduce :args (@t50)) % 0.29/0.55 (step @p68 :rule cong :premises (@p67 @p66) :args (@t50)) % 0.29/0.55 (step @p69 :rule trans :premises (@p68 @p65)) % 0.29/0.55 (step @p70 :rule refl :args (@t18)) % 0.29/0.55 (step @p71 :rule ho_cong :premises (@p43 @p70)) % 0.29/0.55 (step @p72 :rule cong :premises (@p71 @p66) :args ((= @t51 @t49))) % 0.29/0.55 (step @p73 :rule trans :premises (@p72 @p69)) % 0.29/0.55 (step @p74 :rule true_elim :premises (@p73)) % 0.29/0.55 (step @p75 :rule refl :args (@t26)) % 0.29/0.55 (step @p76 :rule cong :premises (@p75 @p74) :args (@t52)) % 0.29/0.55 (step @p77 :rule cong :premises (@p76) :args (@t53)) % 0.29/0.55 (step @p78 :rule refl :args (@t38)) % 0.29/0.55 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t54)) % 0.29/0.55 ; WARNING: add trust step for TRUST % 0.29/0.55 ; trust TRUST THEORY_LEMMA % 0.29/0.55 (step @p80 :rule trust :premises () :args (@t54)) % 0.29/0.55 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.29/0.55 (step @p82 :rule chain_m_resolution :premises (@p81 @p64) :args ((not @t55) @t47 (@list @t38))) % 0.29/0.55 (step @p83 :rule cnf_equiv_neg2 :args (@t55)) % 0.29/0.55 (step @p84 :rule reordering :premises (@p83) :args ((or @t27 @t55 @t56))) % 0.29/0.55 (step @p85 :rule bool-double-not-elim :args (@t39)) % 0.29/0.55 (step @p86 :rule refl :args (@t41)) % 0.29/0.55 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t41 (not @t40)))) % 0.29/0.55 (step @p88 :rule cnf_or_neg :args (@t41 0)) % 0.29/0.55 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.29/0.55 (step @p90 :rule reordering :premises (@p89) :args ((or @t39 @t41))) % 0.29/0.55 (step @p91 :rule chain_m_resolution :premises (@p90 @p62) :args (@t39 @t47 @t48)) % 0.29/0.55 (step @p92 :rule instantiate :premises (@p91) :args ((@list @t18))) % 0.29/0.55 (step @p93 :rule cnf_or_pos :args (@t57)) % 0.29/0.55 (step @p94 :rule reordering :premises (@p93) :args ((or @t29 @t27 (not @t57)))) % 0.29/0.55 (step @p95 :rule bool-double-not-elim :args (@t30)) % 0.29/0.55 (step @p96 :rule refl :args (@t58)) % 0.29/0.55 (step @p97 :rule nary_cong :premises (@p66 @p96 @p95) :args ((or @t49 @t58 (not @t31)))) % 0.29/0.55 (step @p98 :rule cnf_and_neg :args (@t49)) % 0.29/0.55 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 0.29/0.55 (step @p100 :rule reordering :premises (@p99) :args ((or @t30 @t49 @t58))) % 0.29/0.55 (step @p101 :rule chain_m_resolution :premises (@p100 @p94 @p92 @p84 @p82 @p4) :args (@t27 (@list false false true true true) (@list @t29 @t57 @t49 @t55 @t30))) % 0.29/0.55 (step @p102 :rule cnf_equiv_neg1 :args (@t55)) % 0.29/0.55 (step @p103 :rule reordering :premises (@p102) :args ((or @t26 @t49 @t55))) % 0.29/0.55 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p82) :args (@t49 (@list true true) (@list @t26 @t55))) % 0.29/0.55 (step @p105 :rule cnf_and_pos :args (@t49 0)) % 0.29/0.55 (step @p106 :rule reordering :premises (@p105) :args ((or @t29 @t56))) % 0.29/0.55 (step @p107 :rule chain_m_resolution :premises (@p106 @p104) :args (@t29 @t59 @t60)) % 0.29/0.55 (step @p108 :rule cnf_and_pos :args (@t49 1)) % 0.29/0.55 (step @p109 :rule reordering :premises (@p108) :args ((or @t31 @t56))) % 0.29/0.55 (step @p110 :rule chain_m_resolution :premises (@p109 @p104) :args (@t31 @t59 @t60)) % 0.29/0.55 (step @p111 :rule bool-double-not-elim :args (@t26)) % 0.29/0.55 (step @p112 :rule refl :args (@t30)) % 0.29/0.55 (step @p113 :rule nary_cong :premises (@p112 @p96 @p111) :args ((or @t30 @t58 (not @t27)))) % 0.29/0.55 (step @p114 :rule cnf_and_neg :args (@t30)) % 0.29/0.55 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.29/0.55 (step @p116 :rule reordering :premises (@p115) :args ((or @t26 @t30 @t58))) % 0.29/0.55 (step @p117 false :rule chain_m_resolution :premises (@p116 @p110 @p107 @p101) :args (false (@list true false true) (@list @t30 @t29 @t26))) % 0.29/0.55 ) % 0.29/0.55 % SZS output end Proof % 0.29/0.55 % cvc5 exiting %------------------------------------------------------------------------------