%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN005-5 : 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 : n003.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 08:22:51 AM UTC 2026 % Result : Unsatisfiable 15.99s 16.16s % Output : Proof 15.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN005-5 : 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 : n003.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 02:14:44 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.43/15.68 --- Run --no-e-matching --full-saturate-quant at 6... % 15.99/16.16 % SZS status Unsatisfiable % 15.99/16.16 % SZS output start Proof % 15.99/16.16 ( % 15.99/16.16 (declare-sort $$unsorted 0) % 15.99/16.16 (declare-const tptp.c $$unsorted) % 15.99/16.16 (declare-const tptp.a $$unsorted) % 15.99/16.16 (declare-const tptp.b $$unsorted) % 15.99/16.16 (declare-const tptp.identity $$unsorted) % 15.99/16.16 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 15.99/16.16 (declare-const tptp.zero $$unsorted) % 15.99/16.16 (define @t1 () (@var "X" $$unsorted)) % 15.99/16.16 (define @t2 () (@var "Y" $$unsorted)) % 15.99/16.16 (define @t3 () (tptp.divide @t1 @t2)) % 15.99/16.16 (define @t4 () (@list @t1 @t2)) % 15.99/16.16 (define @t5 () (@var "Z" $$unsorted)) % 15.99/16.16 (define @t6 () (tptp.divide (tptp.divide (tptp.divide @t1 @t5) (tptp.divide @t2 @t5)) (tptp.divide @t3 @t5))) % 15.99/16.16 (define @t7 () (@list @t1 @t5 @t2)) % 15.99/16.16 (define @t8 () (forall @t7 (= @t6 tptp.zero))) % 15.99/16.16 (define @t9 () (tptp.divide tptp.zero @t1)) % 15.99/16.16 (define @t10 () (@list @t1)) % 15.99/16.16 (define @t11 () (forall @t10 (= @t9 tptp.zero))) % 15.99/16.16 (define @t12 () (= @t1 @t2)) % 15.99/16.16 (define @t13 () (tptp.divide @t2 @t1)) % 15.99/16.16 (define @t14 () (not (= @t13 tptp.zero))) % 15.99/16.16 (define @t15 () (not (= @t3 tptp.zero))) % 15.99/16.16 (define @t16 () (or @t15 @t14 @t12)) % 15.99/16.16 (define @t17 () (forall @t4 @t16)) % 15.99/16.16 (define @t18 () (tptp.divide tptp.a tptp.b)) % 15.99/16.16 (define @t19 () (tptp.divide tptp.b tptp.c)) % 15.99/16.16 (define @t20 () (tptp.divide tptp.a tptp.c)) % 15.99/16.16 (define @t21 () (not (= @t20 tptp.zero))) % 15.99/16.16 (define @t22 () (= tptp.zero @t9)) % 15.99/16.16 (define @t23 () (= tptp.zero @t6)) % 15.99/16.16 (define @t24 () (tptp.divide @t18 tptp.c)) % 15.99/16.16 (define @t25 () (tptp.divide @t20 @t19)) % 15.99/16.16 (define @t26 () (tptp.divide @t25 @t24)) % 15.99/16.16 (define @t27 () (forall @t7 (= @t6 @t18))) % 15.99/16.16 (define @t28 () (= @t26 @t18)) % 15.99/16.16 (define @t29 () (= @t18 @t26)) % 15.99/16.16 (define @t30 () (@list false)) % 15.99/16.16 (define @t31 () (@list @t27)) % 15.99/16.16 (define @t32 () (not (= @t18 @t13))) % 15.99/16.16 (define @t33 () (not (= @t18 @t3))) % 15.99/16.16 (define @t34 () (or @t33 @t32 @t12)) % 15.99/16.16 (define @t35 () (= tptp.zero @t13)) % 15.99/16.16 (define @t36 () (not @t35)) % 15.99/16.16 (define @t37 () (= tptp.zero @t3)) % 15.99/16.16 (define @t38 () (not @t37)) % 15.99/16.16 (define @t39 () (or @t38 @t36 @t12)) % 15.99/16.16 (define @t40 () (tptp.divide @t20 @t18)) % 15.99/16.16 (define @t41 () (= @t18 @t40)) % 15.99/16.16 (define @t42 () (tptp.divide @t40 @t18)) % 15.99/16.16 (define @t43 () (not (= @t42 @t18))) % 15.99/16.16 (define @t44 () (tptp.divide @t18 @t40)) % 15.99/16.16 (define @t45 () (not (= @t44 @t18))) % 15.99/16.16 (define @t46 () (or @t45 @t43 @t41)) % 15.99/16.16 (define @t47 () (forall @t4 (or (not (= @t3 @t18)) (not (= @t13 @t18)) @t12))) % 15.99/16.16 (define @t48 () (= @t18 @t42)) % 15.99/16.16 (define @t49 () (not @t48)) % 15.99/16.16 (define @t50 () (= @t18 @t44)) % 15.99/16.16 (define @t51 () (not @t50)) % 15.99/16.16 (define @t52 () (or @t51 @t49 @t41)) % 15.99/16.16 (define @t53 () (@list @t47)) % 15.99/16.16 (define @t54 () (= @t18 @t20)) % 15.99/16.16 (define @t55 () (not (= @t40 @t18))) % 15.99/16.16 (define @t56 () (tptp.divide @t18 @t20)) % 15.99/16.16 (define @t57 () (not (= @t56 @t18))) % 15.99/16.16 (define @t58 () (or @t57 @t55 @t54)) % 15.99/16.16 (define @t59 () (not @t41)) % 15.99/16.16 (define @t60 () (= @t18 @t56)) % 15.99/16.16 (define @t61 () (not @t60)) % 15.99/16.16 (define @t62 () (or @t61 @t59 @t54)) % 15.99/16.16 (define @t63 () (= tptp.zero @t20)) % 15.99/16.16 (define @t64 () (@list true false false)) % 15.99/16.16 (define @t65 () (not @t29)) % 15.99/16.16 (define @t66 () (= @t18 @t24)) % 15.99/16.16 (define @t67 () (not @t66)) % 15.99/16.16 (define @t68 () (= @t18 @t19)) % 15.99/16.16 (define @t69 () (not @t68)) % 15.99/16.16 (define @t70 () (and @t49 @t48)) % 15.99/16.16 (assume @p1 (forall @t4 (= (tptp.divide @t3 @t1) tptp.zero))) % 15.99/16.16 (assume @p2 @t8) % 15.99/16.16 (assume @p3 @t11) % 15.99/16.16 (assume @p4 @t17) % 15.99/16.16 (assume @p5 (forall @t10 (= (tptp.divide @t1 tptp.identity) tptp.zero))) % 15.99/16.16 (assume @p6 (= @t18 tptp.zero)) % 15.99/16.16 (assume @p7 (= @t19 tptp.zero)) % 15.99/16.16 (assume @p8 @t21) % 15.99/16.16 (step @p9 :rule refl :args (@t19)) % 15.99/16.16 (step @p10 :rule symm :premises (@p6)) % 15.99/16.16 (step @p11 :rule cong :premises (@p10 @p9) :args ((= tptp.zero @t19))) % 15.99/16.16 (step @p12 :rule eq-symm :args (@t19 tptp.zero)) % 15.99/16.16 (step @p13 :rule trans :premises (@p12 @p11)) % 15.99/16.16 (step @p14 :rule eq_resolve :premises (@p7 @p13)) % 15.99/16.16 (step @p15 :rule refl :args (@t1)) % 15.99/16.16 (step @p16 :rule cong :premises (@p10 @p15) :args (@t9)) % 15.99/16.16 (step @p17 :rule cong :premises (@p10 @p16) :args (@t22)) % 15.99/16.16 (step @p18 :rule cong :premises (@p17) :args ((forall @t10 @t22))) % 15.99/16.16 (step @p19 :rule eq-symm :args (@t9 tptp.zero)) % 15.99/16.16 (step @p20 :rule cong :premises (@p19) :args (@t11)) % 15.99/16.16 (step @p21 :rule trans :premises (@p20 @p18)) % 15.99/16.16 (step @p22 :rule eq_resolve :premises (@p3 @p21)) % 15.99/16.16 (step @p23 :rule instantiate :premises (@p22) :args ((@list tptp.c))) % 15.99/16.16 (step @p24 :rule eq-symm :args (@t18 @t6)) % 15.99/16.16 (step @p25 :rule cong :premises (@p24) :args ((forall @t7 (= @t18 @t6)))) % 15.99/16.16 (step @p26 :rule refl :args (@t6)) % 15.99/16.16 (step @p27 :rule cong :premises (@p10 @p26) :args (@t23)) % 15.99/16.16 (step @p28 :rule cong :premises (@p27) :args ((forall @t7 @t23))) % 15.99/16.16 (step @p29 :rule trans :premises (@p28 @p25)) % 15.99/16.16 (step @p30 :rule eq-symm :args (@t6 tptp.zero)) % 15.99/16.16 (step @p31 :rule cong :premises (@p30) :args (@t8)) % 15.99/16.16 (step @p32 :rule trans :premises (@p31 @p29)) % 15.99/16.16 (step @p33 :rule eq_resolve :premises (@p2 @p32)) % 15.99/16.16 (step @p34 :rule eq-symm :args (@t26 @t18)) % 15.99/16.16 (step @p35 :rule refl :args (@t27)) % 15.99/16.16 (step @p36 :rule cong :premises (@p35 @p34) :args ((=> @t27 @t28))) % 15.99/16.16 (assume-push @p150 @t27) % 15.99/16.16 (step @p38 :rule instantiate :premises (@p33) :args ((@list tptp.a tptp.c tptp.b))) % 15.99/16.16 (step-pop @p151 :rule scope :premises (@p38)) % 15.99/16.16 (step @p39 :rule process_scope :premises (@p151) :args (@t28)) % 15.99/16.16 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 15.99/16.16 (step @p42 :rule implies_elim :premises (@p41)) % 15.99/16.16 (step @p43 :rule chain_m_resolution :premises (@p42 @p33) :args (@t29 @t30 @t31)) % 15.99/16.16 (step @p44 :rule refl :args (@t12)) % 15.99/16.16 (step @p45 :rule eq-symm :args (@t18 @t13)) % 15.99/16.16 (step @p46 :rule cong :premises (@p45) :args (@t32)) % 15.99/16.16 (step @p47 :rule eq-symm :args (@t18 @t3)) % 15.99/16.16 (step @p48 :rule cong :premises (@p47) :args (@t33)) % 15.99/16.16 (step @p49 :rule nary_cong :premises (@p48 @p46 @p44) :args (@t34)) % 15.99/16.16 (step @p50 :rule cong :premises (@p49) :args ((forall @t4 @t34))) % 15.99/16.16 (step @p51 :rule refl :args (@t13)) % 15.99/16.16 (step @p52 :rule cong :premises (@p10 @p51) :args (@t35)) % 15.99/16.16 (step @p53 :rule cong :premises (@p52) :args (@t36)) % 15.99/16.16 (step @p54 :rule refl :args (@t3)) % 15.99/16.16 (step @p55 :rule cong :premises (@p10 @p54) :args (@t37)) % 15.99/16.16 (step @p56 :rule cong :premises (@p55) :args (@t38)) % 15.99/16.16 (step @p57 :rule nary_cong :premises (@p56 @p53 @p44) :args (@t39)) % 15.99/16.16 (step @p58 :rule cong :premises (@p57) :args ((forall @t4 @t39))) % 15.99/16.16 (step @p59 :rule trans :premises (@p58 @p50)) % 15.99/16.16 (step @p60 :rule eq-symm :args (@t13 tptp.zero)) % 15.99/16.16 (step @p61 :rule cong :premises (@p60) :args (@t14)) % 15.99/16.16 (step @p62 :rule eq-symm :args (@t3 tptp.zero)) % 15.99/16.16 (step @p63 :rule cong :premises (@p62) :args (@t15)) % 15.99/16.16 (step @p64 :rule nary_cong :premises (@p63 @p61 @p44) :args (@t16)) % 15.99/16.16 (step @p65 :rule cong :premises (@p64) :args (@t17)) % 15.99/16.16 (step @p66 :rule trans :premises (@p65 @p59)) % 15.99/16.16 (step @p67 :rule eq_resolve :premises (@p4 @p66)) % 15.99/16.16 (step @p68 :rule refl :args (@t41)) % 15.99/16.16 (step @p69 :rule eq-symm :args (@t42 @t18)) % 15.99/16.16 (step @p70 :rule cong :premises (@p69) :args (@t43)) % 15.99/16.16 (step @p71 :rule eq-symm :args (@t44 @t18)) % 15.99/16.16 (step @p72 :rule cong :premises (@p71) :args (@t45)) % 15.99/16.16 (step @p73 :rule nary_cong :premises (@p72 @p70 @p68) :args (@t46)) % 15.99/16.16 (step @p74 :rule refl :args (@t47)) % 15.99/16.16 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t47 @t46))) % 15.99/16.16 (assume-push @p152 @t47) % 15.99/16.16 (step @p77 :rule instantiate :premises (@p67) :args ((@list @t18 @t40))) % 15.99/16.16 (step-pop @p153 :rule scope :premises (@p77)) % 15.99/16.16 (step @p78 :rule process_scope :premises (@p153) :args (@t46)) % 15.99/16.16 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 15.99/16.16 (step @p81 :rule implies_elim :premises (@p80)) % 15.99/16.16 (step @p82 :rule chain_m_resolution :premises (@p81 @p67) :args (@t52 @t30 @t53)) % 15.99/16.16 (step @p83 :rule instantiate :premises (@p22) :args ((@list @t40))) % 15.99/16.16 (step @p84 :rule refl :args (@t54)) % 15.99/16.16 (step @p85 :rule eq-symm :args (@t40 @t18)) % 15.99/16.16 (step @p86 :rule cong :premises (@p85) :args (@t55)) % 15.99/16.16 (step @p87 :rule eq-symm :args (@t56 @t18)) % 15.99/16.16 (step @p88 :rule cong :premises (@p87) :args (@t57)) % 15.99/16.16 (step @p89 :rule nary_cong :premises (@p88 @p86 @p84) :args (@t58)) % 15.99/16.16 (step @p90 :rule cong :premises (@p74 @p89) :args ((=> @t47 @t58))) % 15.99/16.16 (assume-push @p154 @t47) % 15.99/16.16 (step @p92 :rule instantiate :premises (@p67) :args ((@list @t18 @t20))) % 15.99/16.16 (step-pop @p155 :rule scope :premises (@p92)) % 15.99/16.16 (step @p93 :rule process_scope :premises (@p155) :args (@t58)) % 15.99/16.16 (step @p95 :rule eq_resolve :premises (@p93 @p90)) % 15.99/16.16 (step @p96 :rule implies_elim :premises (@p95)) % 15.99/16.16 (step @p97 :rule chain_m_resolution :premises (@p96 @p67) :args (@t62 @t30 @t53)) % 15.99/16.16 (step @p98 :rule instantiate :premises (@p22) :args ((@list @t20))) % 15.99/16.16 (step @p99 :rule refl :args (@t20)) % 15.99/16.16 (step @p100 :rule cong :premises (@p10 @p99) :args (@t63)) % 15.99/16.16 (step @p101 :rule cong :premises (@p100) :args ((not @t63))) % 15.99/16.16 (step @p102 :rule eq-symm :args (@t20 tptp.zero)) % 15.99/16.16 (step @p103 :rule cong :premises (@p102) :args (@t21)) % 15.99/16.16 (step @p104 :rule trans :premises (@p103 @p101)) % 15.99/16.16 (step @p105 :rule eq_resolve :premises (@p8 @p104)) % 15.99/16.16 (step @p106 :rule cnf_or_pos :args (@t62)) % 15.99/16.16 (step @p107 :rule reordering :premises (@p106) :args ((or @t54 @t61 @t59 (not @t62)))) % 15.99/16.16 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p98 @p97) :args (@t59 @t64 (@list @t54 @t60 @t62))) % 15.99/16.16 (step @p109 :rule cnf_or_pos :args (@t52)) % 15.99/16.16 (step @p110 :rule reordering :premises (@p109) :args ((or @t41 @t51 @t49 (not @t52)))) % 15.99/16.16 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p83 @p82) :args (@t49 @t64 (@list @t41 @t50 @t52))) % 15.99/16.16 (step @p112 :rule bool-double-not-elim :args (@t48)) % 15.99/16.16 (step @p113 :rule refl :args (@t65)) % 15.99/16.16 (step @p114 :rule refl :args (@t67)) % 15.99/16.16 (step @p115 :rule refl :args (@t69)) % 15.99/16.16 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113 @p112) :args ((or @t69 @t67 @t65 (not @t49)))) % 15.99/16.16 (assume-push @p156 @t49) % 15.99/16.16 (assume-push @p157 @t48) % 15.99/16.16 (step @p119 :rule evaluate :args ((= true false))) % 15.99/16.16 (step @p120 :rule false_intro :premises (@p111)) % 15.99/16.16 (step @p121 :rule symm :premises (@p23)) % 15.99/16.16 (step @p122 :rule symm :premises (@p14)) % 15.99/16.16 (step @p123 :rule cong :premises (@p99 @p122) :args (@t25)) % 15.99/16.16 (step @p124 :rule cong :premises (@p123 @p121) :args (@t26)) % 15.99/16.16 (step @p125 :rule chain_m_resolution :premises (@p42 @p33) :args (@t29 @t30 @t31)) % 15.99/16.16 (step @p126 :rule trans :premises (@p125 @p124)) % 15.99/16.16 (step @p127 :rule true_intro :premises (@p126)) % 15.99/16.16 (step @p128 :rule symm :premises (@p127)) % 15.99/16.16 (step @p129 :rule trans :premises (@p128 @p120)) % 15.99/16.16 (step @p130 false :rule eq_resolve :premises (@p129 @p119)) % 15.99/16.16 (step-pop @p158 :rule scope :premises (@p130)) % 15.99/16.16 (step-pop @p159 :rule scope :premises (@p158)) % 15.99/16.16 (step @p131 :rule process_scope :premises (@p159) :args (false)) % 15.99/16.16 (assume-push @p160 @t68) % 15.99/16.16 (assume-push @p161 @t66) % 15.99/16.16 (assume-push @p162 @t29) % 15.99/16.16 (assume-push @p163 @t49) % 15.99/16.16 (step @p121 :rule symm :premises (@p23)) % 15.99/16.16 (step @p122 :rule symm :premises (@p14)) % 15.99/16.16 (step @p123 :rule cong :premises (@p99 @p122) :args (@t25)) % 15.99/16.16 (step @p124 :rule cong :premises (@p123 @p121) :args (@t26)) % 15.99/16.16 (step @p138 :rule trans :premises (@p43 @p124)) % 15.99/16.16 (step @p139 :rule and_intro :premises (@p111 @p138)) % 15.99/16.16 (step-pop @p164 :rule scope :premises (@p139)) % 15.99/16.16 (step-pop @p165 :rule scope :premises (@p164)) % 15.99/16.16 (step-pop @p166 :rule scope :premises (@p165)) % 15.99/16.16 (step-pop @p167 :rule scope :premises (@p166)) % 15.99/16.16 (step @p140 :rule process_scope :premises (@p167) :args (@t70)) % 15.99/16.16 (step @p145 :rule implies_elim :premises (@p140)) % 15.99/16.16 (step @p146 :rule resolution :premises (@p145 @p131) :args (true @t70)) % 15.99/16.16 (step @p147 :rule not_and :premises (@p146)) % 15.99/16.16 (step @p148 :rule eq_resolve :premises (@p147 @p116)) % 15.99/16.16 (step @p149 false :rule chain_m_resolution :premises (@p148 @p111 @p43 @p23 @p14) :args (false (@list true false false false) (@list @t48 @t29 @t66 @t68))) % 15.99/16.16 ) % 15.99/16.16 % SZS output end Proof % 15.99/16.17 % cvc5 exiting %------------------------------------------------------------------------------