%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN006-5 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 08:22:52 AM UTC 2026 % Result : Unsatisfiable 16.01s 16.24s % Output : Proof 16.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN006-5 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.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 02:15:21 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.50/15.74 --- Run --no-e-matching --full-saturate-quant at 6... % 16.01/16.24 % SZS status Unsatisfiable % 16.01/16.24 % SZS output start Proof % 16.01/16.24 ( % 16.01/16.24 (declare-sort $$unsorted 0) % 16.01/16.24 (declare-const tptp.a $$unsorted) % 16.01/16.24 (declare-const tptp.b $$unsorted) % 16.01/16.24 (declare-const tptp.d $$unsorted) % 16.01/16.24 (declare-const tptp.identity $$unsorted) % 16.01/16.24 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 16.01/16.24 (declare-const tptp.zero $$unsorted) % 16.01/16.24 (define @t1 () (@var "X" $$unsorted)) % 16.01/16.24 (define @t2 () (@var "Y" $$unsorted)) % 16.01/16.24 (define @t3 () (tptp.divide @t1 @t2)) % 16.01/16.24 (define @t4 () (tptp.divide @t3 @t1)) % 16.01/16.24 (define @t5 () (@list @t1 @t2)) % 16.01/16.24 (define @t6 () (forall @t5 (= @t4 tptp.zero))) % 16.01/16.24 (define @t7 () (@var "Z" $$unsorted)) % 16.01/16.24 (define @t8 () (tptp.divide (tptp.divide (tptp.divide @t1 @t7) (tptp.divide @t2 @t7)) (tptp.divide @t3 @t7))) % 16.01/16.24 (define @t9 () (@list @t1 @t7 @t2)) % 16.01/16.24 (define @t10 () (forall @t9 (= @t8 tptp.zero))) % 16.01/16.24 (define @t11 () (tptp.divide tptp.zero @t1)) % 16.01/16.24 (define @t12 () (@list @t1)) % 16.01/16.24 (define @t13 () (forall @t12 (= @t11 tptp.zero))) % 16.01/16.24 (define @t14 () (tptp.divide @t1 tptp.zero)) % 16.01/16.24 (define @t15 () (forall @t12 (= @t14 @t1))) % 16.01/16.24 (define @t16 () (tptp.divide (tptp.divide tptp.a tptp.b) tptp.d)) % 16.01/16.24 (define @t17 () (tptp.divide tptp.a tptp.d)) % 16.01/16.24 (define @t18 () (tptp.divide @t17 tptp.b)) % 16.01/16.24 (define @t19 () (not (= @t18 tptp.zero))) % 16.01/16.24 (define @t20 () (= tptp.zero @t18)) % 16.01/16.24 (define @t21 () (= tptp.zero @t11)) % 16.01/16.24 (define @t22 () (= tptp.zero @t4)) % 16.01/16.24 (define @t23 () (tptp.divide tptp.b tptp.d)) % 16.01/16.24 (define @t24 () (tptp.divide @t23 tptp.b)) % 16.01/16.24 (define @t25 () (forall @t5 (= @t4 @t16))) % 16.01/16.24 (define @t26 () (= @t24 @t16)) % 16.01/16.24 (define @t27 () (@list tptp.b tptp.d)) % 16.01/16.24 (define @t28 () (= @t16 @t24)) % 16.01/16.24 (define @t29 () (@list false)) % 16.01/16.24 (define @t30 () (= @t1 @t14)) % 16.01/16.24 (define @t31 () (= tptp.zero @t8)) % 16.01/16.24 (define @t32 () (tptp.divide @t17 @t23)) % 16.01/16.24 (define @t33 () (tptp.divide @t32 @t16)) % 16.01/16.24 (define @t34 () (forall @t9 (= @t8 @t16))) % 16.01/16.24 (define @t35 () (= @t33 @t16)) % 16.01/16.24 (define @t36 () (@list tptp.a tptp.d tptp.b)) % 16.01/16.24 (define @t37 () (= @t16 @t33)) % 16.01/16.24 (define @t38 () (@list @t34)) % 16.01/16.24 (define @t39 () (tptp.divide @t32 tptp.b)) % 16.01/16.24 (define @t40 () (tptp.divide @t18 @t24)) % 16.01/16.24 (define @t41 () (tptp.divide @t40 @t39)) % 16.01/16.24 (define @t42 () (= @t41 @t16)) % 16.01/16.24 (define @t43 () (= @t16 @t41)) % 16.01/16.24 (define @t44 () (not @t43)) % 16.01/16.24 (define @t45 () (= @t32 @t33)) % 16.01/16.24 (define @t46 () (not @t45)) % 16.01/16.24 (define @t47 () (not @t37)) % 16.01/16.24 (define @t48 () (= @t18 (tptp.divide @t18 @t16))) % 16.01/16.24 (define @t49 () (not @t48)) % 16.01/16.24 (define @t50 () (not @t28)) % 16.01/16.24 (define @t51 () (= @t16 (tptp.divide @t16 tptp.b))) % 16.01/16.24 (define @t52 () (not @t51)) % 16.01/16.24 (define @t53 () (= @t16 @t18)) % 16.01/16.24 (define @t54 () (not @t53)) % 16.01/16.24 (define @t55 () (and @t44 @t43)) % 16.01/16.24 (assume @p1 @t6) % 16.01/16.24 (assume @p2 @t10) % 16.01/16.24 (assume @p3 @t13) % 16.01/16.24 (assume @p4 (forall @t5 (or (not (= @t3 tptp.zero)) (not (= (tptp.divide @t2 @t1) tptp.zero)) (= @t1 @t2)))) % 16.01/16.24 (assume @p5 (forall @t12 (= (tptp.divide @t1 tptp.identity) tptp.zero))) % 16.01/16.24 (assume @p6 @t15) % 16.01/16.24 (assume @p7 (= @t16 tptp.zero)) % 16.01/16.24 (assume @p8 @t19) % 16.01/16.24 (step @p9 :rule refl :args (@t18)) % 16.01/16.24 (step @p10 :rule symm :premises (@p7)) % 16.01/16.24 (step @p11 :rule cong :premises (@p10 @p9) :args (@t20)) % 16.01/16.24 (step @p12 :rule cong :premises (@p11) :args ((not @t20))) % 16.01/16.24 (step @p13 :rule eq-symm :args (@t18 tptp.zero)) % 16.01/16.24 (step @p14 :rule cong :premises (@p13) :args (@t19)) % 16.01/16.24 (step @p15 :rule trans :premises (@p14 @p12)) % 16.01/16.24 (step @p16 :rule eq_resolve :premises (@p8 @p15)) % 16.01/16.24 (step @p17 :rule refl :args (@t1)) % 16.01/16.24 (step @p18 :rule cong :premises (@p10 @p17) :args (@t11)) % 16.01/16.24 (step @p19 :rule cong :premises (@p10 @p18) :args (@t21)) % 16.01/16.24 (step @p20 :rule cong :premises (@p19) :args ((forall @t12 @t21))) % 16.01/16.24 (step @p21 :rule eq-symm :args (@t11 tptp.zero)) % 16.01/16.24 (step @p22 :rule cong :premises (@p21) :args (@t13)) % 16.01/16.24 (step @p23 :rule trans :premises (@p22 @p20)) % 16.01/16.24 (step @p24 :rule eq_resolve :premises (@p3 @p23)) % 16.01/16.24 (step @p25 :rule instantiate :premises (@p24) :args ((@list tptp.b))) % 16.01/16.24 (step @p26 :rule eq-symm :args (@t16 @t4)) % 16.01/16.24 (step @p27 :rule cong :premises (@p26) :args ((forall @t5 (= @t16 @t4)))) % 16.01/16.24 (step @p28 :rule refl :args (@t4)) % 16.01/16.24 (step @p29 :rule cong :premises (@p10 @p28) :args (@t22)) % 16.01/16.24 (step @p30 :rule cong :premises (@p29) :args ((forall @t5 @t22))) % 16.01/16.24 (step @p31 :rule trans :premises (@p30 @p27)) % 16.01/16.24 (step @p32 :rule eq-symm :args (@t4 tptp.zero)) % 16.01/16.24 (step @p33 :rule cong :premises (@p32) :args (@t6)) % 16.01/16.24 (step @p34 :rule trans :premises (@p33 @p31)) % 16.01/16.24 (step @p35 :rule eq_resolve :premises (@p1 @p34)) % 16.01/16.24 (step @p36 :rule eq-symm :args (@t24 @t16)) % 16.01/16.24 (step @p37 :rule refl :args (@t25)) % 16.01/16.24 (step @p38 :rule cong :premises (@p37 @p36) :args ((=> @t25 @t26))) % 16.01/16.24 (assume-push @p139 @t25) % 16.01/16.24 (step @p40 :rule instantiate :premises (@p35) :args (@t27)) % 16.01/16.24 (step-pop @p140 :rule scope :premises (@p40)) % 16.01/16.24 (step @p41 :rule process_scope :premises (@p140) :args (@t26)) % 16.01/16.24 (step @p43 :rule eq_resolve :premises (@p41 @p38)) % 16.01/16.24 (step @p44 :rule implies_elim :premises (@p43)) % 16.01/16.24 (step @p45 :rule chain_m_resolution :premises (@p44 @p35) :args (@t28 @t29 (@list @t25))) % 16.01/16.24 (step @p46 :rule cong :premises (@p17 @p10) :args (@t14)) % 16.01/16.24 (step @p47 :rule cong :premises (@p17 @p46) :args (@t30)) % 16.01/16.24 (step @p48 :rule cong :premises (@p47) :args ((forall @t12 @t30))) % 16.01/16.24 (step @p49 :rule eq-symm :args (@t14 @t1)) % 16.01/16.24 (step @p50 :rule cong :premises (@p49) :args (@t15)) % 16.01/16.24 (step @p51 :rule trans :premises (@p50 @p48)) % 16.01/16.24 (step @p52 :rule eq_resolve :premises (@p6 @p51)) % 16.01/16.24 (step @p53 :rule instantiate :premises (@p52) :args ((@list @t18))) % 16.01/16.24 (step @p54 :rule eq-symm :args (@t16 @t8)) % 16.01/16.24 (step @p55 :rule cong :premises (@p54) :args ((forall @t9 (= @t16 @t8)))) % 16.01/16.24 (step @p56 :rule refl :args (@t8)) % 16.01/16.24 (step @p57 :rule cong :premises (@p10 @p56) :args (@t31)) % 16.01/16.24 (step @p58 :rule cong :premises (@p57) :args ((forall @t9 @t31))) % 16.01/16.24 (step @p59 :rule trans :premises (@p58 @p55)) % 16.01/16.24 (step @p60 :rule eq-symm :args (@t8 tptp.zero)) % 16.01/16.24 (step @p61 :rule cong :premises (@p60) :args (@t10)) % 16.01/16.24 (step @p62 :rule trans :premises (@p61 @p59)) % 16.01/16.24 (step @p63 :rule eq_resolve :premises (@p2 @p62)) % 16.01/16.24 (step @p64 :rule eq-symm :args (@t33 @t16)) % 16.01/16.24 (step @p65 :rule refl :args (@t34)) % 16.01/16.24 (step @p66 :rule cong :premises (@p65 @p64) :args ((=> @t34 @t35))) % 16.01/16.24 (assume-push @p141 @t34) % 16.01/16.24 (step @p68 :rule instantiate :premises (@p63) :args (@t36)) % 16.01/16.24 (step-pop @p142 :rule scope :premises (@p68)) % 16.01/16.24 (step @p69 :rule process_scope :premises (@p142) :args (@t35)) % 16.01/16.24 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 16.01/16.24 (step @p72 :rule implies_elim :premises (@p71)) % 16.01/16.24 (step @p73 :rule chain_m_resolution :premises (@p72 @p63) :args (@t37 @t29 @t38)) % 16.01/16.24 (step @p74 :rule instantiate :premises (@p52) :args ((@list @t32))) % 16.01/16.24 (step @p75 :rule eq-symm :args (@t41 @t16)) % 16.01/16.24 (step @p76 :rule cong :premises (@p65 @p75) :args ((=> @t34 @t42))) % 16.01/16.24 (assume-push @p143 @t34) % 16.01/16.24 (step @p78 :rule instantiate :premises (@p63) :args ((@list @t17 tptp.b @t23))) % 16.01/16.24 (step-pop @p144 :rule scope :premises (@p78)) % 16.01/16.24 (step @p79 :rule process_scope :premises (@p144) :args (@t42)) % 16.01/16.24 (step @p81 :rule eq_resolve :premises (@p79 @p76)) % 16.01/16.24 (step @p82 :rule implies_elim :premises (@p81)) % 16.01/16.24 (step @p83 :rule chain_m_resolution :premises (@p82 @p63) :args (@t43 @t29 @t38)) % 16.01/16.24 (step @p84 :rule refl :args (@t44)) % 16.01/16.24 (step @p85 :rule refl :args (@t46)) % 16.01/16.24 (step @p86 :rule refl :args (@t47)) % 16.01/16.24 (step @p87 :rule refl :args (@t49)) % 16.01/16.24 (step @p88 :rule refl :args (@t50)) % 16.01/16.24 (step @p89 :rule refl :args (@t52)) % 16.01/16.24 (step @p90 :rule bool-double-not-elim :args (@t53)) % 16.01/16.24 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88 @p87 @p86 @p85 @p84) :args ((or (not @t54) @t52 @t50 @t49 @t47 @t46 @t44))) % 16.01/16.24 (assume-push @p145 @t44) % 16.01/16.24 (assume-push @p146 @t43) % 16.01/16.24 (step @p94 :rule evaluate :args ((= false true))) % 16.01/16.24 (step @p95 :rule true_intro :premises (@p83)) % 16.01/16.24 (step @p96 :rule false_intro :premises (@p16)) % 16.01/16.24 (step @p97 :rule symm :premises (@p53)) % 16.01/16.24 (step @p98 :rule symm :premises (@p25)) % 16.01/16.24 (step @p99 :rule refl :args (tptp.b)) % 16.01/16.24 (step @p68 :rule instantiate :premises (@p63) :args (@t36)) % 16.01/16.24 (step @p100 :rule trans :premises (@p74 @p68)) % 16.01/16.24 (step @p101 :rule cong :premises (@p100 @p99) :args (@t39)) % 16.01/16.24 (step @p102 :rule trans :premises (@p101 @p98)) % 16.01/16.24 (step @p40 :rule instantiate :premises (@p35) :args (@t27)) % 16.01/16.24 (step @p103 :rule cong :premises (@p9 @p40) :args (@t40)) % 16.01/16.24 (step @p104 :rule trans :premises (@p103 @p97)) % 16.01/16.24 (step @p105 :rule cong :premises (@p104 @p102) :args (@t41)) % 16.01/16.24 (step @p106 :rule trans :premises (@p105 @p97)) % 16.01/16.24 (step @p107 :rule refl :args (@t16)) % 16.01/16.24 (step @p108 :rule cong :premises (@p107 @p106) :args (@t43)) % 16.01/16.24 (step @p109 :rule trans :premises (@p108 @p96)) % 16.01/16.24 (step @p110 :rule symm :premises (@p109)) % 16.01/16.24 (step @p111 :rule trans :premises (@p110 @p95)) % 16.01/16.24 (step @p112 false :rule eq_resolve :premises (@p111 @p94)) % 16.01/16.24 (step-pop @p147 :rule scope :premises (@p112)) % 16.01/16.24 (step-pop @p148 :rule scope :premises (@p147)) % 16.01/16.24 (step @p113 :rule process_scope :premises (@p148) :args (false)) % 16.01/16.24 (assume-push @p149 @t54) % 16.01/16.24 (assume-push @p150 @t51) % 16.01/16.24 (assume-push @p151 @t28) % 16.01/16.24 (assume-push @p152 @t48) % 16.01/16.24 (assume-push @p153 @t37) % 16.01/16.24 (assume-push @p154 @t45) % 16.01/16.24 (assume-push @p155 @t43) % 16.01/16.24 (step @p96 :rule false_intro :premises (@p16)) % 16.01/16.24 (step @p97 :rule symm :premises (@p53)) % 16.01/16.24 (step @p98 :rule symm :premises (@p25)) % 16.01/16.24 (step @p99 :rule refl :args (tptp.b)) % 16.01/16.24 (step @p68 :rule instantiate :premises (@p63) :args (@t36)) % 16.01/16.24 (step @p100 :rule trans :premises (@p74 @p68)) % 16.01/16.24 (step @p101 :rule cong :premises (@p100 @p99) :args (@t39)) % 16.01/16.24 (step @p102 :rule trans :premises (@p101 @p98)) % 16.01/16.24 (step @p40 :rule instantiate :premises (@p35) :args (@t27)) % 16.01/16.24 (step @p103 :rule cong :premises (@p9 @p40) :args (@t40)) % 16.01/16.24 (step @p104 :rule trans :premises (@p103 @p97)) % 16.01/16.24 (step @p105 :rule cong :premises (@p104 @p102) :args (@t41)) % 16.01/16.24 (step @p106 :rule trans :premises (@p105 @p97)) % 16.01/16.24 (step @p107 :rule refl :args (@t16)) % 16.01/16.24 (step @p108 :rule cong :premises (@p107 @p106) :args (@t43)) % 16.01/16.24 (step @p123 :rule trans :premises (@p108 @p96)) % 16.01/16.24 (step @p124 :rule false_elim :premises (@p123)) % 16.01/16.24 (step @p125 :rule and_intro :premises (@p124 @p83)) % 16.01/16.24 (step-pop @p156 :rule scope :premises (@p125)) % 16.01/16.24 (step-pop @p157 :rule scope :premises (@p156)) % 16.01/16.24 (step-pop @p158 :rule scope :premises (@p157)) % 16.01/16.24 (step-pop @p159 :rule scope :premises (@p158)) % 16.01/16.24 (step-pop @p160 :rule scope :premises (@p159)) % 16.01/16.24 (step-pop @p161 :rule scope :premises (@p160)) % 16.01/16.24 (step-pop @p162 :rule scope :premises (@p161)) % 16.01/16.24 (step @p126 :rule process_scope :premises (@p162) :args (@t55)) % 16.01/16.24 (step @p134 :rule implies_elim :premises (@p126)) % 16.01/16.24 (step @p135 :rule resolution :premises (@p134 @p113) :args (true @t55)) % 16.01/16.24 (step @p136 :rule not_and :premises (@p135)) % 16.01/16.24 (step @p137 :rule eq_resolve :premises (@p136 @p91)) % 16.01/16.24 (step @p138 false :rule chain_m_resolution :premises (@p137 @p83 @p74 @p73 @p53 @p45 @p25 @p16) :args (false (@list false false false false false false true) (@list @t43 @t45 @t37 @t48 @t28 @t51 @t53))) % 16.01/16.24 ) % 16.01/16.24 % SZS output end Proof % 16.01/16.25 % cvc5 exiting %------------------------------------------------------------------------------