%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET619^5 : 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 : n019.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 08:48:15 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET619^5 : 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 % 0.17/0.34 % Computer : n019.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 16:05:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.31/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort tptp.a 0) % 0.31/0.55 (define @t1 () (@var "Xz" tptp.a)) % 0.31/0.55 (define @t2 () (@var "Y" (-> tptp.a Bool))) % 0.31/0.55 (define @t3 () (_ @t2 @t1)) % 0.31/0.55 (define @t4 () (@var "X" (-> tptp.a Bool))) % 0.31/0.55 (define @t5 () (_ @t4 @t1)) % 0.31/0.55 (define @t6 () (and @t5 @t3)) % 0.31/0.55 (define @t7 () (not @t5)) % 0.31/0.55 (define @t8 () (and @t3 @t7)) % 0.31/0.55 (define @t9 () (not @t3)) % 0.31/0.55 (define @t10 () (and @t5 @t9)) % 0.31/0.55 (define @t11 () (or @t10 @t8 @t6)) % 0.31/0.55 (define @t12 () (@list @t1)) % 0.31/0.55 (define @t13 () (lambda @t12 @t11)) % 0.31/0.55 (define @t14 () (or @t5 @t3)) % 0.31/0.55 (define @t15 () (lambda @t12 @t14)) % 0.31/0.55 (define @t16 () (= @t15 @t13)) % 0.31/0.55 (define @t17 () (@list @t4 @t2)) % 0.31/0.55 (define @t18 () (forall @t17 @t16)) % 0.31/0.55 (define @t19 () (not @t18)) % 0.31/0.55 (define @t20 () (@const 0 tptp.a)) % 0.31/0.55 (define @t21 () (_ @t2 @t1)) % 0.31/0.55 (define @t22 () (_ @t4 @t1)) % 0.31/0.55 (define @t23 () (forall @t17 (= (lambda @t12 (or @t22 @t21)) (lambda @t12 (or (and @t22 (not @t21)) (and @t21 (not @t22)) (and @t22 @t21)))))) % 0.31/0.55 (define @t24 () (@quantifiers_skolemize @t23 1)) % 0.31/0.55 (define @t25 () (_ @t24 @t20)) % 0.31/0.55 (define @t26 () (@quantifiers_skolemize @t23 0)) % 0.31/0.55 (define @t27 () (_ @t26 @t20)) % 0.31/0.55 (define @t28 () (or @t27 @t25)) % 0.31/0.55 (define @t29 () (_ @t24 @t1)) % 0.31/0.55 (define @t30 () (_ @t26 @t1)) % 0.31/0.55 (define @t31 () (lambda @t12 (or @t30 @t29))) % 0.31/0.55 (define @t32 () (@purify @t31)) % 0.31/0.55 (define @t33 () (lambda @t12 (or (and @t30 (not @t29)) (and @t29 (not @t30)) (and @t30 @t29)))) % 0.31/0.55 (define @t34 () (@purify @t33)) % 0.31/0.55 (define @t35 () (= @t34 @t32)) % 0.31/0.55 (define @t36 () (not @t35)) % 0.31/0.55 (define @t37 () (not @t23)) % 0.31/0.55 (define @t38 () (= @t31 @t33)) % 0.31/0.55 (define @t39 () (not @t38)) % 0.31/0.55 (define @t40 () (@list true)) % 0.31/0.55 (define @t41 () (and @t27 @t25)) % 0.31/0.55 (define @t42 () (not @t27)) % 0.31/0.55 (define @t43 () (and @t25 @t42)) % 0.31/0.55 (define @t44 () (not @t25)) % 0.31/0.55 (define @t45 () (and @t27 @t44)) % 0.31/0.55 (define @t46 () (or @t45 @t43 @t41)) % 0.31/0.55 (define @t47 () (= (_ @t31 @t20) @t28)) % 0.31/0.55 (define @t48 () (_ @t32 @t20)) % 0.31/0.55 (define @t49 () (= (_ @t33 @t20) @t46)) % 0.31/0.55 (define @t50 () (_ @t34 @t20)) % 0.31/0.55 (define @t51 () (= @t50 @t48)) % 0.31/0.55 (define @t52 () (not @t51)) % 0.31/0.55 (define @t53 () (or @t35 @t52)) % 0.31/0.55 (define @t54 () (= @t28 @t46)) % 0.31/0.55 (define @t55 () (not @t45)) % 0.31/0.55 (define @t56 () (@list @t27)) % 0.31/0.55 (define @t57 () (not @t41)) % 0.31/0.55 (define @t58 () (not @t43)) % 0.31/0.55 (define @t59 () (not @t28)) % 0.31/0.55 (define @t60 () (@list true true)) % 0.31/0.55 (assume @p1 @t19) % 0.31/0.55 (assume @p2 true) % 0.31/0.55 (step @p3 :rule cnf_or_neg :args (@t28 0)) % 0.31/0.55 (step @p4 :rule refl :args (@t21)) % 0.31/0.55 (step @p5 :rule refl :args (@t3)) % 0.31/0.55 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t3 @t21))) % 0.31/0.55 (step @p7 :rule symm :premises (@p6)) % 0.31/0.55 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.31/0.55 (step @p9 :rule refl :args (@t22)) % 0.31/0.55 (step @p10 :rule refl :args (@t5)) % 0.31/0.55 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t5 @t22))) % 0.31/0.55 (step @p12 :rule symm :premises (@p11)) % 0.31/0.55 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.31/0.55 (step @p14 :rule nary_cong :premises (@p13 @p8) :args (@t6)) % 0.31/0.55 (step @p15 :rule cong :premises (@p13) :args (@t7)) % 0.31/0.55 (step @p16 :rule nary_cong :premises (@p8 @p15) :args (@t8)) % 0.31/0.55 (step @p17 :rule cong :premises (@p8) :args (@t9)) % 0.31/0.55 (step @p18 :rule nary_cong :premises (@p13 @p17) :args (@t10)) % 0.31/0.55 (step @p19 :rule nary_cong :premises (@p18 @p16 @p14) :args (@t11)) % 0.31/0.55 (step @p20 :rule cong :premises (@p19) :args (@t13)) % 0.31/0.55 (step @p21 :rule nary_cong :premises (@p13 @p8) :args (@t14)) % 0.31/0.55 (step @p22 :rule cong :premises (@p21) :args (@t15)) % 0.31/0.55 (step @p23 :rule cong :premises (@p22 @p20) :args (@t16)) % 0.31/0.55 (step @p24 :rule cong :premises (@p23) :args (@t18)) % 0.31/0.55 (step @p25 :rule cong :premises (@p24) :args (@t19)) % 0.31/0.55 (step @p26 :rule eq_resolve :premises (@p1 @p25)) % 0.31/0.55 (step @p27 :rule refl :args (@t36)) % 0.31/0.55 (step @p28 :rule bool-double-not-elim :args (@t23)) % 0.31/0.55 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or (not @t37) @t36))) % 0.31/0.55 (step @p30 :rule eq-symm :args (@t32 @t34)) % 0.31/0.55 (step @p31 :rule eq-refl :args (@t33)) % 0.31/0.55 (step @p32 :rule skolem_intro :args (@t34)) % 0.31/0.55 (step @p33 :rule refl :args (@t33)) % 0.31/0.55 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t33 @t34))) % 0.31/0.55 (step @p35 :rule trans :premises (@p34 @p31)) % 0.31/0.55 (step @p36 :rule true_elim :premises (@p35)) % 0.31/0.55 (step @p37 :rule eq-refl :args (@t31)) % 0.31/0.55 (step @p38 :rule skolem_intro :args (@t32)) % 0.31/0.55 (step @p39 :rule refl :args (@t31)) % 0.31/0.55 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t31 @t32))) % 0.31/0.55 (step @p41 :rule trans :premises (@p40 @p37)) % 0.31/0.55 (step @p42 :rule true_elim :premises (@p41)) % 0.31/0.55 (step @p43 :rule cong :premises (@p42 @p36) :args (@t38)) % 0.31/0.55 (step @p44 :rule trans :premises (@p43 @p30)) % 0.31/0.55 (step @p45 :rule cong :premises (@p44) :args (@t39)) % 0.31/0.55 (step @p46 :rule refl :args (@t37)) % 0.31/0.55 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t37 @t39))) % 0.31/0.55 (assume-push @p125 @t37) % 0.31/0.55 (step @p49 :rule skolemize :premises (@p26)) % 0.31/0.55 (step-pop @p126 :rule scope :premises (@p49)) % 0.31/0.55 (step @p50 :rule process_scope :premises (@p126) :args (@t39)) % 0.31/0.55 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 0.31/0.55 (step @p53 :rule implies_elim :premises (@p52)) % 0.31/0.55 (step @p54 :rule eq_resolve :premises (@p53 @p29)) % 0.31/0.55 (step @p55 :rule chain_m_resolution :premises (@p54 @p26) :args (@t36 @t40 (@list @t23))) % 0.31/0.55 (step @p56 :rule eq-symm :args (@t46 @t28)) % 0.31/0.55 (step @p57 :rule eq-refl :args (@t28)) % 0.31/0.55 (step @p58 :rule refl :args (@t28)) % 0.31/0.55 (step @p59 :rule beta-reduce :args (@t47)) % 0.31/0.55 (step @p60 :rule cong :premises (@p59 @p58) :args (@t47)) % 0.31/0.55 (step @p61 :rule trans :premises (@p60 @p57)) % 0.31/0.55 (step @p62 :rule refl :args (@t20)) % 0.31/0.55 (step @p63 :rule ho_cong :premises (@p38 @p62)) % 0.31/0.55 (step @p64 :rule cong :premises (@p63 @p58) :args ((= @t48 @t28))) % 0.31/0.55 (step @p65 :rule trans :premises (@p64 @p61)) % 0.31/0.55 (step @p66 :rule true_elim :premises (@p65)) % 0.31/0.55 (step @p67 :rule eq-refl :args (@t46)) % 0.31/0.55 (step @p68 :rule refl :args (@t46)) % 0.31/0.55 (step @p69 :rule beta-reduce :args (@t49)) % 0.31/0.55 (step @p70 :rule cong :premises (@p69 @p68) :args (@t49)) % 0.31/0.55 (step @p71 :rule trans :premises (@p70 @p67)) % 0.31/0.55 (step @p72 :rule ho_cong :premises (@p32 @p62)) % 0.31/0.55 (step @p73 :rule cong :premises (@p72 @p68) :args ((= @t50 @t46))) % 0.31/0.55 (step @p74 :rule trans :premises (@p73 @p71)) % 0.31/0.55 (step @p75 :rule true_elim :premises (@p74)) % 0.31/0.55 (step @p76 :rule cong :premises (@p75 @p66) :args (@t51)) % 0.31/0.55 (step @p77 :rule trans :premises (@p76 @p56)) % 0.31/0.55 (step @p78 :rule cong :premises (@p77) :args (@t52)) % 0.31/0.55 (step @p79 :rule refl :args (@t35)) % 0.31/0.55 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t53)) % 0.31/0.55 ; WARNING: add trust step for TRUST % 0.31/0.55 ; trust TRUST THEORY_LEMMA % 0.31/0.55 (step @p81 :rule trust :premises () :args (@t53)) % 0.31/0.55 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.31/0.55 (step @p83 :rule chain_m_resolution :premises (@p82 @p55) :args ((not @t54) @t40 (@list @t35))) % 0.31/0.55 (step @p84 :rule cnf_equiv_neg2 :args (@t54)) % 0.31/0.55 (step @p85 :rule cnf_or_neg :args (@t46 0)) % 0.31/0.55 (step @p86 :rule cnf_or_neg :args (@t46 2)) % 0.31/0.55 (step @p87 :rule bool-double-not-elim :args (@t25)) % 0.31/0.55 (step @p88 :rule refl :args (@t42)) % 0.31/0.55 (step @p89 :rule refl :args (@t45)) % 0.31/0.55 (step @p90 :rule nary_cong :premises (@p89 @p88 @p87) :args ((or @t45 @t42 (not @t44)))) % 0.31/0.55 (step @p91 :rule cnf_and_neg :args (@t45)) % 0.31/0.55 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.31/0.55 (step @p93 :rule reordering :premises (@p92) :args ((or @t25 @t45 @t42))) % 0.31/0.55 (step @p94 :rule cnf_and_neg :args (@t41)) % 0.31/0.55 (step @p95 :rule reordering :premises (@p94) :args ((or @t44 @t42 @t41))) % 0.31/0.55 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p86 @p85 @p84 @p83 @p3) :args (@t42 (@list false true true true true false) (@list @t25 @t41 @t45 @t46 @t54 @t28))) % 0.31/0.55 (step @p97 :rule cnf_and_pos :args (@t45 0)) % 0.31/0.55 (step @p98 :rule reordering :premises (@p97) :args ((or @t27 @t55))) % 0.31/0.55 (step @p99 :rule chain_m_resolution :premises (@p98 @p96) :args (@t55 @t40 @t56)) % 0.31/0.55 (step @p100 :rule cnf_and_pos :args (@t41 0)) % 0.31/0.55 (step @p101 :rule reordering :premises (@p100) :args ((or @t27 @t57))) % 0.31/0.55 (step @p102 :rule chain_m_resolution :premises (@p101 @p96) :args (@t57 @t40 @t56)) % 0.31/0.55 (step @p103 :rule cnf_or_neg :args (@t28 1)) % 0.31/0.55 (step @p104 :rule bool-double-not-elim :args (@t27)) % 0.31/0.55 (step @p105 :rule refl :args (@t44)) % 0.31/0.55 (step @p106 :rule refl :args (@t43)) % 0.31/0.55 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104) :args ((or @t43 @t44 (not @t42)))) % 0.31/0.55 (step @p108 :rule cnf_and_neg :args (@t43)) % 0.31/0.55 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 0.31/0.55 (step @p110 :rule reordering :premises (@p109) :args ((or @t27 @t44 @t43))) % 0.31/0.55 (step @p111 :rule cnf_or_neg :args (@t46 1)) % 0.31/0.55 (step @p112 :rule chain_m_resolution :premises (@p111 @p84 @p83 @p110 @p96 @p103) :args (@t44 (@list true true false true false) (@list @t46 @t54 @t43 @t27 @t28))) % 0.31/0.55 (step @p113 :rule cnf_and_pos :args (@t43 0)) % 0.31/0.55 (step @p114 :rule reordering :premises (@p113) :args ((or @t25 @t58))) % 0.31/0.55 (step @p115 :rule chain_m_resolution :premises (@p114 @p112) :args (@t58 @t40 (@list @t25))) % 0.31/0.55 (step @p116 :rule cnf_or_pos :args (@t28)) % 0.31/0.55 (step @p117 :rule reordering :premises (@p116) :args ((or @t27 @t25 @t59))) % 0.31/0.55 (step @p118 :rule chain_m_resolution :premises (@p117 @p96 @p112) :args (@t59 @t60 (@list @t27 @t25))) % 0.31/0.55 (step @p119 :rule cnf_equiv_neg1 :args (@t54)) % 0.31/0.55 (step @p120 :rule reordering :premises (@p119) :args ((or @t28 @t46 @t54))) % 0.31/0.55 (step @p121 :rule chain_m_resolution :premises (@p120 @p118 @p83) :args (@t46 @t60 (@list @t28 @t54))) % 0.31/0.55 (step @p122 :rule cnf_or_pos :args (@t46)) % 0.31/0.55 (step @p123 :rule reordering :premises (@p122) :args ((or @t45 @t43 @t41 (not @t46)))) % 0.31/0.55 (step @p124 false :rule chain_m_resolution :premises (@p123 @p121 @p115 @p102 @p99) :args (false (@list false true true true) (@list @t46 @t43 @t41 @t45))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------