%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO882^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 09:13:35 AM UTC 2026 % Result : Unsatisfiable 0.87s 1.05s % Output : Proof 0.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO882^1 : TPTP v9.2.1. Released v7.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n002.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Wed Jun 3 01:05:03 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.30/0.50 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.87/1.05 % SZS status Unsatisfiable % 0.87/1.05 % SZS output start Proof % 0.87/1.06 ( % 0.87/1.06 (declare-sort $$unsorted 0) % 0.87/1.06 (declare-const tptp.b $$unsorted) % 0.87/1.06 (declare-const tptp.a $$unsorted) % 0.87/1.06 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.87/1.06 (declare-const tptp.g (-> Bool $$unsorted)) % 0.87/1.06 (define @t1 () (_ tptp.g true)) % 0.87/1.06 (define @t2 () (_ tptp.h @t1)) % 0.87/1.06 (define @t3 () (@var "Y" (-> $$unsorted $$unsorted))) % 0.87/1.06 (define @t4 () (_ @t3 tptp.a)) % 0.87/1.06 (define @t5 () (_ tptp.h @t4)) % 0.87/1.06 (define @t6 () (= @t5 @t2)) % 0.87/1.06 (define @t7 () (not @t6)) % 0.87/1.06 (define @t8 () (_ tptp.g false)) % 0.87/1.06 (define @t9 () (_ tptp.h @t8)) % 0.87/1.06 (define @t10 () (_ @t3 tptp.b)) % 0.87/1.06 (define @t11 () (_ tptp.h @t10)) % 0.87/1.06 (define @t12 () (= @t11 @t9)) % 0.87/1.06 (define @t13 () (not @t12)) % 0.87/1.06 (define @t14 () (or @t13 @t7)) % 0.87/1.06 (define @t15 () (@list @t3)) % 0.87/1.06 (define @t16 () (forall @t15 @t14)) % 0.87/1.06 (define @t17 () (= tptp.a tptp.b)) % 0.87/1.06 (define @t18 () (@purify false)) % 0.87/1.06 (define @t19 () (tptp.g true)) % 0.87/1.06 (define @t20 () (tptp.h @t19)) % 0.87/1.06 (define @t21 () (_ @t3 tptp.a)) % 0.87/1.06 (define @t22 () (tptp.h @t21)) % 0.87/1.06 (define @t23 () (tptp.g false)) % 0.87/1.06 (define @t24 () (tptp.h @t23)) % 0.87/1.06 (define @t25 () (_ @t3 tptp.b)) % 0.87/1.06 (define @t26 () (tptp.h @t25)) % 0.87/1.06 (define @t27 () (@purify @t17)) % 0.87/1.06 (define @t28 () (tptp.g @t17)) % 0.87/1.06 (define @t29 () (tptp.h @t28)) % 0.87/1.06 (define @t30 () (not @t18)) % 0.87/1.06 (define @t31 () (= @t24 @t29)) % 0.87/1.06 (define @t32 () (not @t31)) % 0.87/1.06 (define @t33 () (forall @t15 (or (not (= @t26 @t24)) (not (= @t22 @t20))))) % 0.87/1.06 (define @t34 () (tptp.g (= tptp.a tptp.a))) % 0.87/1.06 (define @t35 () (@var "BOUND_VARIABLE_14511" $$unsorted)) % 0.87/1.06 (define @t36 () (lambda (@list @t35) (tptp.g (= @t35 tptp.a)))) % 0.87/1.06 (define @t37 () (_ @t36 tptp.a)) % 0.87/1.06 (define @t38 () (tptp.h @t37)) % 0.87/1.06 (define @t39 () (= @t38 @t20)) % 0.87/1.06 (define @t40 () (not @t39)) % 0.87/1.06 (define @t41 () (tptp.g (= tptp.b tptp.a))) % 0.87/1.06 (define @t42 () (_ @t36 tptp.b)) % 0.87/1.06 (define @t43 () (tptp.h @t42)) % 0.87/1.06 (define @t44 () (= @t43 @t24)) % 0.87/1.06 (define @t45 () (not @t44)) % 0.87/1.06 (define @t46 () (or @t45 @t40)) % 0.87/1.06 (define @t47 () (tptp.g @t18)) % 0.87/1.06 (define @t48 () (tptp.h @t47)) % 0.87/1.06 (define @t49 () (= @t48 (tptp.h (tptp.g @t27)))) % 0.87/1.06 (define @t50 () (not @t27)) % 0.87/1.06 (define @t51 () (and @t30 @t50)) % 0.87/1.06 (assume @p1 @t16) % 0.87/1.06 (assume @p2 (not @t17)) % 0.87/1.06 (step @p3 :rule bool-eq-false :args (@t18)) % 0.87/1.06 (step @p4 :rule skolem_intro :args (@t18)) % 0.87/1.06 (step @p5 :rule eq_resolve :premises (@p4 @p3)) % 0.87/1.06 (step @p6 :rule refl :args ((tptp.h @t1))) % 0.87/1.06 (step @p7 :rule refl :args (@t19)) % 0.87/1.06 (step @p8 :rule cong :premises (@p7) :args (@t20)) % 0.87/1.06 (step @p9 :rule trans :premises (@p8 @p6)) % 0.87/1.06 (step @p10 :rule refl :args (tptp.h)) % 0.87/1.06 (step @p11 :rule ho_cong :premises (@p10 @p7)) % 0.87/1.06 (step @p12 :rule cong :premises (@p11 @p9) :args ((= (_ tptp.h @t19) @t20))) % 0.87/1.06 (step @p13 :rule symm :premises (@p12)) % 0.87/1.06 (step @p14 :rule refl :args (@t2)) % 0.87/1.06 (step @p15 :rule eq_resolve :premises (@p14 @p13)) % 0.87/1.06 (step @p16 :rule refl :args (@t1)) % 0.87/1.06 (step @p17 :rule cong :premises (@p16 @p7) :args ((= @t1 @t19))) % 0.87/1.06 (step @p18 :rule symm :premises (@p17)) % 0.87/1.06 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.87/1.06 (step @p20 :rule ho_cong :premises (@p10 @p19)) % 0.87/1.06 (step @p21 :rule trans :premises (@p20 @p15)) % 0.87/1.06 (step @p22 :rule refl :args ((tptp.h @t4))) % 0.87/1.06 (step @p23 :rule refl :args (@t21)) % 0.87/1.06 (step @p24 :rule cong :premises (@p23) :args (@t22)) % 0.87/1.06 (step @p25 :rule trans :premises (@p24 @p22)) % 0.87/1.06 (step @p26 :rule ho_cong :premises (@p10 @p23)) % 0.87/1.06 (step @p27 :rule cong :premises (@p26 @p25) :args ((= (_ tptp.h @t21) @t22))) % 0.87/1.06 (step @p28 :rule symm :premises (@p27)) % 0.87/1.06 (step @p29 :rule refl :args (@t5)) % 0.87/1.06 (step @p30 :rule eq_resolve :premises (@p29 @p28)) % 0.87/1.06 (step @p31 :rule refl :args (@t4)) % 0.87/1.06 (step @p32 :rule cong :premises (@p31 @p23) :args ((= @t4 @t21))) % 0.87/1.06 (step @p33 :rule symm :premises (@p32)) % 0.87/1.06 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.87/1.06 (step @p35 :rule ho_cong :premises (@p10 @p34)) % 0.87/1.06 (step @p36 :rule trans :premises (@p35 @p30)) % 0.87/1.06 (step @p37 :rule cong :premises (@p36 @p21) :args (@t6)) % 0.87/1.06 (step @p38 :rule cong :premises (@p37) :args (@t7)) % 0.87/1.06 (step @p39 :rule refl :args ((tptp.h @t8))) % 0.87/1.06 (step @p40 :rule refl :args (@t23)) % 0.87/1.06 (step @p41 :rule cong :premises (@p40) :args (@t24)) % 0.87/1.06 (step @p42 :rule trans :premises (@p41 @p39)) % 0.87/1.06 (step @p43 :rule ho_cong :premises (@p10 @p40)) % 0.87/1.06 (step @p44 :rule cong :premises (@p43 @p42) :args ((= (_ tptp.h @t23) @t24))) % 0.87/1.06 (step @p45 :rule symm :premises (@p44)) % 0.87/1.06 (step @p46 :rule refl :args (@t9)) % 0.87/1.06 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.87/1.06 (step @p48 :rule refl :args (@t8)) % 0.87/1.06 (step @p49 :rule cong :premises (@p48 @p40) :args ((= @t8 @t23))) % 0.87/1.06 (step @p50 :rule symm :premises (@p49)) % 0.87/1.06 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.87/1.06 (step @p52 :rule ho_cong :premises (@p10 @p51)) % 0.87/1.06 (step @p53 :rule trans :premises (@p52 @p47)) % 0.87/1.06 (step @p54 :rule refl :args ((tptp.h @t10))) % 0.87/1.06 (step @p55 :rule refl :args (@t25)) % 0.87/1.06 (step @p56 :rule cong :premises (@p55) :args (@t26)) % 0.87/1.06 (step @p57 :rule trans :premises (@p56 @p54)) % 0.87/1.06 (step @p58 :rule ho_cong :premises (@p10 @p55)) % 0.87/1.06 (step @p59 :rule cong :premises (@p58 @p57) :args ((= (_ tptp.h @t25) @t26))) % 0.87/1.06 (step @p60 :rule symm :premises (@p59)) % 0.87/1.06 (step @p61 :rule refl :args (@t11)) % 0.87/1.06 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.87/1.06 (step @p63 :rule refl :args (@t10)) % 0.87/1.06 (step @p64 :rule cong :premises (@p63 @p55) :args ((= @t10 @t25))) % 0.87/1.06 (step @p65 :rule symm :premises (@p64)) % 0.87/1.06 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.87/1.06 (step @p67 :rule ho_cong :premises (@p10 @p66)) % 0.87/1.06 (step @p68 :rule trans :premises (@p67 @p62)) % 0.87/1.06 (step @p69 :rule cong :premises (@p68 @p53) :args (@t12)) % 0.87/1.06 (step @p70 :rule cong :premises (@p69) :args (@t13)) % 0.87/1.06 (step @p71 :rule nary_cong :premises (@p70 @p38) :args (@t14)) % 0.87/1.06 (step @p72 :rule cong :premises (@p71) :args (@t16)) % 0.87/1.06 (step @p73 :rule eq_resolve :premises (@p1 @p72)) % 0.87/1.06 (step @p74 :rule eq-refl :args (@t17)) % 0.87/1.06 (step @p75 :rule skolem_intro :args (@t27)) % 0.87/1.06 (step @p76 :rule refl :args (@t17)) % 0.87/1.06 (step @p77 :rule cong :premises (@p76 @p75) :args ((= @t17 @t27))) % 0.87/1.06 (step @p78 :rule trans :premises (@p77 @p74)) % 0.87/1.06 (step @p79 :rule true_elim :premises (@p78)) % 0.87/1.06 (step @p80 :rule cong :premises (@p79) :args (@t28)) % 0.87/1.06 (step @p81 :rule cong :premises (@p80) :args (@t29)) % 0.87/1.06 (step @p82 :rule evaluate :args ((not false))) % 0.87/1.06 (step @p83 :rule cong :premises (@p4) :args (@t30)) % 0.87/1.06 (step @p84 :rule bool-eq-false :args (@t18)) % 0.87/1.06 (step @p85 :rule eq-symm :args (false @t18)) % 0.87/1.06 (step @p86 :rule trans :premises (@p85 @p84)) % 0.87/1.06 (step @p87 :rule trans :premises (@p86 @p83 @p82)) % 0.87/1.06 (step @p88 :rule true_elim :premises (@p87)) % 0.87/1.06 (step @p89 :rule cong :premises (@p88) :args (@t23)) % 0.87/1.06 (step @p90 :rule cong :premises (@p89) :args (@t24)) % 0.87/1.06 (step @p91 :rule cong :premises (@p90 @p81) :args (@t31)) % 0.87/1.06 (step @p92 :rule cong :premises (@p91) :args (@t32)) % 0.87/1.06 (step @p93 :rule refl :args (@t33)) % 0.87/1.06 (step @p94 :rule cong :premises (@p93 @p92) :args ((=> @t33 @t32))) % 0.87/1.06 (step @p95 :rule aci_norm :args ((= (or @t32 false) @t32))) % 0.87/1.06 (step @p96 :rule evaluate :args ((not true))) % 0.87/1.06 (step @p97 :rule eq-refl :args (@t20)) % 0.87/1.06 (step @p98 :rule refl :args (@t20)) % 0.87/1.06 (step @p99 :rule eq-refl :args (tptp.a)) % 0.87/1.06 (step @p100 :rule cong :premises (@p99) :args (@t34)) % 0.87/1.06 (step @p101 :rule beta-reduce :args ((= @t37 @t34))) % 0.87/1.06 (step @p102 :rule trans :premises (@p101 @p100)) % 0.87/1.06 (step @p103 :rule cong :premises (@p102) :args (@t38)) % 0.87/1.06 (step @p104 :rule cong :premises (@p103 @p98) :args (@t39)) % 0.87/1.06 (step @p105 :rule trans :premises (@p104 @p97)) % 0.87/1.06 (step @p106 :rule cong :premises (@p105) :args (@t40)) % 0.87/1.06 (step @p107 :rule trans :premises (@p106 @p96)) % 0.87/1.06 (step @p108 :rule eq-symm :args (@t29 @t24)) % 0.87/1.06 (step @p109 :rule refl :args (@t24)) % 0.87/1.06 (step @p110 :rule eq-symm :args (tptp.b tptp.a)) % 0.87/1.06 (step @p111 :rule cong :premises (@p110) :args (@t41)) % 0.87/1.06 (step @p112 :rule beta-reduce :args ((= @t42 @t41))) % 0.87/1.06 (step @p113 :rule trans :premises (@p112 @p111)) % 0.87/1.06 (step @p114 :rule cong :premises (@p113) :args (@t43)) % 0.87/1.06 (step @p115 :rule cong :premises (@p114 @p109) :args (@t44)) % 0.87/1.06 (step @p116 :rule trans :premises (@p115 @p108)) % 0.87/1.06 (step @p117 :rule cong :premises (@p116) :args (@t45)) % 0.87/1.06 (step @p118 :rule nary_cong :premises (@p117 @p107) :args (@t46)) % 0.87/1.06 (step @p119 :rule trans :premises (@p118 @p95)) % 0.87/1.06 (step @p120 :rule cong :premises (@p93 @p119) :args ((=> @t33 @t46))) % 0.87/1.06 (assume-push @p150 @t33) % 0.87/1.06 (step @p122 :rule instantiate :premises (@p73) :args ((@list @t36))) % 0.87/1.06 (step-pop @p151 :rule scope :premises (@p122)) % 0.87/1.06 (step @p123 :rule process_scope :premises (@p151) :args (@t46)) % 0.87/1.06 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 0.87/1.06 (step @p126 :rule eq_resolve :premises (@p125 @p94)) % 0.87/1.06 (step @p127 :rule implies_elim :premises (@p126)) % 0.87/1.06 (step @p128 :rule chain_m_resolution :premises (@p127 @p73) :args ((not @t49) (@list false) (@list @t33))) % 0.87/1.06 (step @p129 :rule equiv_elim2 :premises (@p79)) % 0.87/1.06 (step @p130 :rule chain_m_resolution :premises (@p129 @p2) :args (@t50 (@list true) (@list @t17))) % 0.87/1.06 (step @p131 :rule refl :args (@t49)) % 0.87/1.06 (step @p132 :rule bool-double-not-elim :args (@t27)) % 0.87/1.06 (step @p133 :rule bool-double-not-elim :args (@t18)) % 0.87/1.06 (step @p134 :rule nary_cong :premises (@p133 @p132 @p131) :args ((or (not @t30) (not @t50) @t49))) % 0.87/1.06 (assume-push @p152 @t30) % 0.87/1.06 (assume-push @p153 @t50) % 0.87/1.06 (step @p137 :rule false_intro :premises (@p130)) % 0.87/1.06 (step @p138 :rule symm :premises (@p137)) % 0.87/1.06 (step @p139 :rule trans :premises (@p4 @p138)) % 0.87/1.06 (step @p140 :rule cong :premises (@p139) :args (@t47)) % 0.87/1.06 (step @p141 :rule cong :premises (@p140) :args (@t48)) % 0.87/1.06 (step-pop @p154 :rule scope :premises (@p141)) % 0.87/1.06 (step-pop @p155 :rule scope :premises (@p154)) % 0.87/1.06 (step @p142 :rule process_scope :premises (@p155) :args (@t49)) % 0.87/1.06 (step @p145 :rule implies_elim :premises (@p142)) % 0.87/1.06 (step @p146 :rule cnf_and_neg :args (@t51)) % 0.87/1.06 (step @p147 :rule resolution :premises (@p146 @p145) :args (true @t51)) % 0.87/1.06 (step @p148 :rule eq_resolve :premises (@p147 @p134)) % 0.87/1.06 (step @p149 false :rule chain_m_resolution :premises (@p148 @p130 @p128 @p5) :args (false (@list true true true) (@list @t27 @t49 @t18))) % 0.87/1.06 ) % 0.87/1.06 % SZS output end Proof % 0.87/1.06 % cvc5 exiting %------------------------------------------------------------------------------