%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO023^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 09:11:48 AM UTC 2026 % Result : Theorem 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYO023^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 18:51:45 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TH0 % 0.15/0.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.15/0.36 % SZS status Theorem % 0.15/0.36 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (define @t1 () (@var "Y" Bool)) % 0.15/0.36 (define @t2 () (@var "X" Bool)) % 0.15/0.36 (define @t3 () (lambda (@list @t2 @t1) (not (or (not @t2) (not @t1))))) % 0.15/0.36 (define @t4 () (@var "V" Bool)) % 0.15/0.36 (define @t5 () (@var "U" Bool)) % 0.15/0.36 (define @t6 () (lambda (@list @t5 @t4) (and @t5 @t4))) % 0.15/0.36 (define @t7 () (= @t6 @t3)) % 0.15/0.36 (define @t8 () (not @t7)) % 0.15/0.36 (define @t9 () (@purify @t3)) % 0.15/0.36 (define @t10 () (@var "BOUND_VARIABLE_7443" Bool)) % 0.15/0.36 (define @t11 () (= @t10 false)) % 0.15/0.36 (define @t12 () (ite @t11 false true)) % 0.15/0.36 (define @t13 () (@var "BOUND_VARIABLE_7441" Bool)) % 0.15/0.36 (define @t14 () (= @t13 true)) % 0.15/0.36 (define @t15 () (@list @t13 @t10)) % 0.15/0.36 (define @t16 () (lambda @t15 (ite @t14 @t12 false))) % 0.15/0.36 (define @t17 () (@purify @t16)) % 0.15/0.36 (define @t18 () (not @t11)) % 0.15/0.36 (define @t19 () (= @t3 @t16)) % 0.15/0.36 (define @t20 () (@const 0 Bool)) % 0.15/0.36 (define @t21 () (@purify @t20)) % 0.15/0.36 (define @t22 () (@const 1 Bool)) % 0.15/0.36 (define @t23 () (@purify @t22)) % 0.15/0.36 (define @t24 () (and @t23 @t21)) % 0.15/0.36 (define @t25 () (not @t21)) % 0.15/0.36 (define @t26 () (not @t23)) % 0.15/0.36 (define @t27 () (or @t26 @t25)) % 0.15/0.36 (define @t28 () (not @t27)) % 0.15/0.36 (define @t29 () (not (or (not @t22) (not @t20)))) % 0.15/0.36 (define @t30 () (_ @t3 @t22 @t20)) % 0.15/0.36 (define @t31 () (_ @t9 @t22 @t20)) % 0.15/0.36 (define @t32 () (and @t22 @t20)) % 0.15/0.36 (define @t33 () (= @t20 false)) % 0.15/0.36 (define @t34 () (not @t33)) % 0.15/0.36 (define @t35 () (ite @t33 false true)) % 0.15/0.36 (define @t36 () (= @t22 true)) % 0.15/0.36 (define @t37 () (_ @t16 @t22 @t20)) % 0.15/0.36 (define @t38 () (_ @t17 @t22 @t20)) % 0.15/0.36 (define @t39 () (= @t38 @t31)) % 0.15/0.36 (define @t40 () (not @t39)) % 0.15/0.36 (define @t41 () (= @t17 @t9)) % 0.15/0.36 (define @t42 () (or @t41 @t40)) % 0.15/0.36 (define @t43 () (= @t28 @t24)) % 0.15/0.36 (define @t44 () (@list true)) % 0.15/0.36 (define @t45 () (not @t24)) % 0.15/0.36 (define @t46 () (@list true false true)) % 0.15/0.36 (define @t47 () (@list @t43 @t24 @t27)) % 0.15/0.36 (assume @p1 @t8) % 0.15/0.36 (assume @p2 true) % 0.15/0.36 (step @p3 :rule eq-symm :args (@t9 @t17)) % 0.15/0.36 (step @p4 :rule eq-refl :args (@t16)) % 0.15/0.36 ; WARNING: add trust step for TRUST_THEORY_REWRITE % 0.15/0.36 ; trust TRUST_THEORY_REWRITE % 0.15/0.36 (step @p5 :rule trust :premises () :args ((= (lambda @t15 (and @t13 @t10)) @t16))) % 0.15/0.36 (step @p6 :rule bool-double-not-elim :args (@t10)) % 0.15/0.36 (step @p7 :rule bool-eq-false :args (@t10)) % 0.15/0.36 (step @p8 :rule cong :premises (@p7) :args (@t18)) % 0.15/0.36 (step @p9 :rule trans :premises (@p8 @p6)) % 0.15/0.36 (step @p10 :rule aci_norm :args ((= (and @t18 true) @t18))) % 0.15/0.36 (step @p11 :rule ite-then-false :args (@t11 true)) % 0.15/0.36 (step @p12 :rule trans :premises (@p11 @p10)) % 0.15/0.36 (step @p13 :rule trans :premises (@p12 @p9)) % 0.15/0.36 (step @p14 :rule bool-eq-true :args (@t13)) % 0.15/0.36 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((and @t14 @t12))) % 0.15/0.36 (step @p16 :rule ite-else-false :args (@t14 @t12)) % 0.15/0.36 (step @p17 :rule trans :premises (@p16 @p15)) % 0.15/0.36 (step @p18 :rule cong :premises (@p17) :args (@t16)) % 0.15/0.36 (step @p19 :rule trans :premises (@p18 @p5)) % 0.15/0.36 (step @p20 :rule refl :args (@t16)) % 0.15/0.36 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t16 @t16))) % 0.15/0.36 (step @p22 :rule trans :premises (@p21 @p4)) % 0.15/0.36 (step @p23 :rule skolem_intro :args (@t17)) % 0.15/0.36 (step @p24 :rule cong :premises (@p20 @p23) :args ((= @t16 @t17))) % 0.15/0.36 (step @p25 :rule trans :premises (@p24 @p22)) % 0.15/0.36 (step @p26 :rule true_elim :premises (@p25)) % 0.15/0.36 (step @p27 :rule eq-refl :args (@t3)) % 0.15/0.36 (step @p28 :rule skolem_intro :args (@t9)) % 0.15/0.36 (step @p29 :rule refl :args (@t3)) % 0.15/0.36 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t3 @t9))) % 0.15/0.36 (step @p31 :rule trans :premises (@p30 @p27)) % 0.15/0.36 (step @p32 :rule true_elim :premises (@p31)) % 0.15/0.36 (step @p33 :rule cong :premises (@p32 @p26) :args (@t19)) % 0.15/0.36 (step @p34 :rule trans :premises (@p33 @p3)) % 0.15/0.36 (step @p35 :rule cong :premises (@p34) :args ((not @t19))) % 0.15/0.36 (step @p36 :rule eq-symm :args (@t16 @t3)) % 0.15/0.36 ; trust TRUST_THEORY_REWRITE % 0.15/0.36 (step @p37 :rule trust :premises () :args ((= @t6 @t16))) % 0.15/0.36 (step @p38 :rule cong :premises (@p37 @p29) :args (@t7)) % 0.15/0.36 (step @p39 :rule trans :premises (@p38 @p36)) % 0.15/0.36 (step @p40 :rule cong :premises (@p39) :args (@t8)) % 0.15/0.36 (step @p41 :rule trans :premises (@p40 @p35)) % 0.15/0.36 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.15/0.36 (step @p43 :rule eq-symm :args (@t24 @t28)) % 0.15/0.36 (step @p44 :rule eq-refl :args (@t29)) % 0.15/0.36 (step @p45 :rule beta-reduce :args ((= @t30 @t29))) % 0.15/0.36 (step @p46 :rule refl :args (@t29)) % 0.15/0.36 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t29 @t30))) % 0.15/0.36 (step @p48 :rule trans :premises (@p47 @p44)) % 0.15/0.36 (step @p49 :rule eq-symm :args (@t30 @t29)) % 0.15/0.36 (step @p50 :rule trans :premises (@p49 @p48)) % 0.15/0.36 (step @p51 :rule skolem_intro :args (@t21)) % 0.15/0.36 (step @p52 :rule cong :premises (@p51) :args (@t25)) % 0.15/0.36 (step @p53 :rule skolem_intro :args (@t23)) % 0.15/0.36 (step @p54 :rule cong :premises (@p53) :args (@t26)) % 0.15/0.36 (step @p55 :rule nary_cong :premises (@p54 @p52) :args (@t27)) % 0.15/0.36 (step @p56 :rule cong :premises (@p55) :args (@t28)) % 0.15/0.36 (step @p57 :rule ho_cong :premises (@p28 @p53 @p51)) % 0.15/0.36 (step @p58 :rule cong :premises (@p57 @p56) :args ((= (_ @t9 @t23 @t21) @t28))) % 0.15/0.36 (step @p59 :rule trans :premises (@p58 @p50)) % 0.15/0.36 (step @p60 :rule true_elim :premises (@p59)) % 0.15/0.36 (step @p61 :rule eq-refl :args (@t20)) % 0.15/0.36 (step @p62 :rule refl :args (@t20)) % 0.15/0.36 (step @p63 :rule cong :premises (@p62 @p51) :args ((= @t20 @t21))) % 0.15/0.36 (step @p64 :rule trans :premises (@p63 @p61)) % 0.15/0.36 (step @p65 :rule true_elim :premises (@p64)) % 0.15/0.36 (step @p66 :rule eq-refl :args (@t22)) % 0.15/0.36 (step @p67 :rule refl :args (@t22)) % 0.15/0.36 (step @p68 :rule cong :premises (@p67 @p53) :args ((= @t22 @t23))) % 0.15/0.36 (step @p69 :rule trans :premises (@p68 @p66)) % 0.15/0.36 (step @p70 :rule true_elim :premises (@p69)) % 0.15/0.36 (step @p71 :rule cong :premises (@p70 @p65) :args (@t31)) % 0.15/0.36 (step @p72 :rule trans :premises (@p71 @p60)) % 0.15/0.36 (step @p73 :rule eq-refl :args (@t32)) % 0.15/0.36 (step @p74 :rule bool-double-not-elim :args (@t20)) % 0.15/0.36 (step @p75 :rule bool-eq-false :args (@t20)) % 0.15/0.36 (step @p76 :rule cong :premises (@p75) :args (@t34)) % 0.15/0.36 (step @p77 :rule trans :premises (@p76 @p74)) % 0.15/0.36 (step @p78 :rule aci_norm :args ((= (and @t34 true) @t34))) % 0.15/0.36 (step @p79 :rule ite-then-false :args (@t33 true)) % 0.15/0.36 (step @p80 :rule trans :premises (@p79 @p78)) % 0.15/0.36 (step @p81 :rule trans :premises (@p80 @p77)) % 0.15/0.36 (step @p82 :rule bool-eq-true :args (@t22)) % 0.15/0.36 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((and @t36 @t35))) % 0.15/0.36 (step @p84 :rule ite-else-false :args (@t36 @t35)) % 0.15/0.36 (step @p85 :rule trans :premises (@p84 @p83)) % 0.15/0.36 (step @p86 :rule beta-reduce :args ((= @t37 (ite @t36 @t35 false)))) % 0.15/0.36 (step @p87 :rule trans :premises (@p86 @p85)) % 0.15/0.36 (step @p88 :rule refl :args (@t32)) % 0.15/0.36 (step @p89 :rule cong :premises (@p88 @p87) :args ((= @t32 @t37))) % 0.15/0.36 (step @p90 :rule trans :premises (@p89 @p73)) % 0.15/0.36 (step @p91 :rule eq-symm :args (@t37 @t32)) % 0.15/0.36 (step @p92 :rule trans :premises (@p91 @p90)) % 0.15/0.36 (step @p93 :rule nary_cong :premises (@p53 @p51) :args (@t24)) % 0.15/0.36 (step @p94 :rule ho_cong :premises (@p23 @p53 @p51)) % 0.15/0.36 (step @p95 :rule cong :premises (@p94 @p93) :args ((= (_ @t17 @t23 @t21) @t24))) % 0.15/0.36 (step @p96 :rule trans :premises (@p95 @p92)) % 0.15/0.36 (step @p97 :rule true_elim :premises (@p96)) % 0.15/0.36 (step @p98 :rule cong :premises (@p70 @p65) :args (@t38)) % 0.15/0.36 (step @p99 :rule trans :premises (@p98 @p97)) % 0.15/0.36 (step @p100 :rule cong :premises (@p99 @p72) :args (@t39)) % 0.15/0.36 (step @p101 :rule trans :premises (@p100 @p43)) % 0.15/0.36 (step @p102 :rule cong :premises (@p101) :args (@t40)) % 0.15/0.36 (step @p103 :rule refl :args (@t41)) % 0.15/0.36 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t42)) % 0.15/0.36 ; WARNING: add trust step for TRUST % 0.15/0.36 ; trust TRUST THEORY_LEMMA % 0.15/0.36 (step @p105 :rule trust :premises () :args (@t42)) % 0.15/0.36 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.15/0.36 (step @p107 :rule chain_m_resolution :premises (@p106 @p42) :args ((not @t43) @t44 (@list @t41))) % 0.15/0.36 (step @p108 :rule cnf_or_pos :args (@t27)) % 0.15/0.36 (step @p109 :rule reordering :premises (@p108) :args ((or @t26 @t25 @t28))) % 0.15/0.36 (step @p110 :rule cnf_and_neg :args (@t24)) % 0.15/0.36 (step @p111 :rule reordering :premises (@p110) :args ((or @t26 @t25 @t24))) % 0.15/0.36 (step @p112 :rule refl :args (@t45)) % 0.15/0.36 (step @p113 :rule bool-double-not-elim :args (@t27)) % 0.15/0.36 (step @p114 :rule refl :args (@t43)) % 0.15/0.36 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112) :args ((or @t43 (not @t28) @t45))) % 0.15/0.36 (step @p116 :rule cnf_equiv_neg2 :args (@t43)) % 0.15/0.36 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 0.15/0.36 (step @p118 :rule reordering :premises (@p117) :args ((or @t27 @t43 @t45))) % 0.15/0.36 (step @p119 :rule chain_m_resolution :premises (@p118 @p107 @p111 @p109) :args (@t27 @t46 @t47)) % 0.15/0.36 (step @p120 :rule bool-double-not-elim :args (@t21)) % 0.15/0.36 (step @p121 :rule refl :args (@t27)) % 0.15/0.36 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t27 (not @t25)))) % 0.15/0.36 (step @p123 :rule cnf_or_neg :args (@t27 1)) % 0.15/0.36 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.15/0.36 (step @p125 :rule reordering :premises (@p124) :args ((or @t21 @t27))) % 0.15/0.36 (step @p126 :rule cnf_and_pos :args (@t24 1)) % 0.15/0.36 (step @p127 :rule reordering :premises (@p126) :args ((or @t21 @t45))) % 0.15/0.36 (step @p128 :rule cnf_equiv_neg1 :args (@t43)) % 0.15/0.36 (step @p129 :rule reordering :premises (@p128) :args ((or @t28 @t24 @t43))) % 0.15/0.36 (step @p130 :rule chain_m_resolution :premises (@p129 @p107 @p127 @p125) :args (@t21 (@list true true false) @t47)) % 0.15/0.36 (step @p131 :rule chain_m_resolution :premises (@p119 @p130) :args (@t26 (@list false) (@list @t21))) % 0.15/0.36 (step @p132 :rule cnf_and_pos :args (@t24 0)) % 0.15/0.36 (step @p133 :rule reordering :premises (@p132) :args ((or @t23 @t45))) % 0.15/0.36 (step @p134 :rule chain_m_resolution :premises (@p133 @p131) :args (@t45 @t44 (@list @t23))) % 0.15/0.36 (step @p135 false :rule chain_m_resolution :premises (@p129 @p134 @p119 @p107) :args (false @t46 (@list @t24 @t27 @t43))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------