%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN005-2 : TPTP v9.2.1. Released v1.0.0. % 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 08:22:51 AM UTC 2026 % Result : Unsatisfiable 9.39s 9.60s % Output : Proof 9.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : HEN005-2 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n024.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Mon Jun 1 21:14:30 EDT 2026 % 0.06/0.25 % CPUTime : % 0.06/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 9.39/9.60 % SZS status Unsatisfiable % 9.39/9.60 % SZS output start Proof % 9.39/9.60 ( % 9.39/9.60 (declare-sort $$unsorted 0) % 9.39/9.60 (declare-const tptp.x $$unsorted) % 9.39/9.60 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 9.39/9.60 (declare-const tptp.z $$unsorted) % 9.39/9.60 (declare-const tptp.identity $$unsorted) % 9.39/9.60 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 9.39/9.60 (declare-const tptp.y $$unsorted) % 9.39/9.60 (declare-const tptp.quotient (-> $$unsorted $$unsorted $$unsorted Bool)) % 9.39/9.60 (declare-const tptp.zero $$unsorted) % 9.39/9.60 (define @t1 () (@var "Y" $$unsorted)) % 9.39/9.60 (define @t2 () (@var "X" $$unsorted)) % 9.39/9.60 (define @t3 () (tptp.quotient @t2 @t1 tptp.zero)) % 9.39/9.60 (define @t4 () (tptp.less_equal @t2 @t1)) % 9.39/9.60 (define @t5 () (not @t4)) % 9.39/9.60 (define @t6 () (@list @t2 @t1)) % 9.39/9.60 (define @t7 () (@var "Z" $$unsorted)) % 9.39/9.60 (define @t8 () (not (tptp.quotient @t2 @t1 @t7))) % 9.39/9.60 (define @t9 () (@var "V5" $$unsorted)) % 9.39/9.60 (define @t10 () (@var "V4" $$unsorted)) % 9.39/9.60 (define @t11 () (@var "V1" $$unsorted)) % 9.39/9.60 (define @t12 () (@var "V2" $$unsorted)) % 9.39/9.60 (define @t13 () (@var "V3" $$unsorted)) % 9.39/9.60 (define @t14 () (@list @t2)) % 9.39/9.60 (define @t15 () (@var "W" $$unsorted)) % 9.39/9.60 (define @t16 () (tptp.less_equal tptp.x tptp.y)) % 9.39/9.60 (define @t17 () (tptp.less_equal tptp.y tptp.z)) % 9.39/9.60 (define @t18 () (tptp.less_equal tptp.x tptp.z)) % 9.39/9.60 (define @t19 () (@list tptp.x tptp.z)) % 9.39/9.60 (define @t20 () (not (tptp.quotient tptp.x tptp.z tptp.zero))) % 9.39/9.60 (define @t21 () (or @t20 @t18)) % 9.39/9.60 (define @t22 () (tptp.divide tptp.x tptp.z)) % 9.39/9.60 (define @t23 () (tptp.less_equal tptp.zero tptp.z)) % 9.39/9.60 (define @t24 () (tptp.quotient tptp.z tptp.identity tptp.zero)) % 9.39/9.60 (define @t25 () (not @t24)) % 9.39/9.60 (define @t26 () (or @t25 @t23)) % 9.39/9.60 (define @t27 () (@list false false)) % 9.39/9.60 (define @t28 () (tptp.quotient tptp.zero tptp.z tptp.zero)) % 9.39/9.60 (define @t29 () (not @t23)) % 9.39/9.60 (define @t30 () (or @t29 @t28)) % 9.39/9.60 (define @t31 () (tptp.quotient tptp.y tptp.z tptp.zero)) % 9.39/9.60 (define @t32 () (not @t17)) % 9.39/9.60 (define @t33 () (or @t32 @t31)) % 9.39/9.60 (define @t34 () (tptp.quotient tptp.x tptp.y tptp.zero)) % 9.39/9.60 (define @t35 () (not @t16)) % 9.39/9.60 (define @t36 () (or @t35 @t34)) % 9.39/9.60 (define @t37 () (tptp.less_equal @t22 tptp.zero)) % 9.39/9.60 (define @t38 () (not @t28)) % 9.39/9.60 (define @t39 () (tptp.quotient @t22 tptp.zero @t22)) % 9.39/9.60 (define @t40 () (not @t39)) % 9.39/9.60 (define @t41 () (tptp.quotient tptp.x tptp.z @t22)) % 9.39/9.60 (define @t42 () (not @t41)) % 9.39/9.60 (define @t43 () (not @t31)) % 9.39/9.60 (define @t44 () (not @t34)) % 9.39/9.60 (define @t45 () (or @t44 @t43 @t42 @t40 @t38 @t37)) % 9.39/9.60 (define @t46 () (tptp.less_equal @t22 tptp.x)) % 9.39/9.60 (define @t47 () (or @t42 @t46)) % 9.39/9.60 (define @t48 () (tptp.quotient @t22 tptp.x tptp.zero)) % 9.39/9.60 (define @t49 () (not @t46)) % 9.39/9.60 (define @t50 () (or @t49 @t48)) % 9.39/9.60 (define @t51 () (tptp.less_equal tptp.zero @t22)) % 9.39/9.60 (define @t52 () (not @t48)) % 9.39/9.60 (define @t53 () (or @t52 @t51)) % 9.39/9.60 (define @t54 () (= tptp.zero @t22)) % 9.39/9.60 (define @t55 () (not @t37)) % 9.39/9.60 (define @t56 () (not @t51)) % 9.39/9.60 (define @t57 () (or @t56 @t55 @t54)) % 9.39/9.60 (assume @p1 (forall @t6 (or @t5 @t3))) % 9.39/9.60 (assume @p2 (forall @t6 (or (not @t3) @t4))) % 9.39/9.60 (assume @p3 (forall (@list @t2 @t1 @t7) (or @t8 (tptp.less_equal @t7 @t2)))) % 9.39/9.60 (assume @p4 (forall (@list @t2 @t1 @t11 @t7 @t12 @t13 @t10 @t9) (or (not (tptp.quotient @t2 @t1 @t11)) (not (tptp.quotient @t1 @t7 @t12)) (not (tptp.quotient @t2 @t7 @t13)) (not (tptp.quotient @t13 @t12 @t10)) (not (tptp.quotient @t11 @t7 @t9)) (tptp.less_equal @t10 @t9)))) % 9.39/9.60 (assume @p5 (forall @t14 (tptp.less_equal tptp.zero @t2))) % 9.39/9.60 (assume @p6 (forall @t6 (or @t5 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 9.39/9.60 (assume @p7 (forall @t14 (tptp.less_equal @t2 tptp.identity))) % 9.39/9.60 (assume @p8 (forall @t6 (tptp.quotient @t2 @t1 (tptp.divide @t2 @t1)))) % 9.39/9.60 (assume @p9 (forall (@list @t2 @t1 @t7 @t15) (or @t8 (not (tptp.quotient @t2 @t1 @t15)) (= @t7 @t15)))) % 9.39/9.60 (assume @p10 (forall @t14 (tptp.quotient @t2 tptp.identity tptp.zero))) % 9.39/9.60 (assume @p11 (forall @t14 (tptp.quotient tptp.zero @t2 tptp.zero))) % 9.39/9.60 (assume @p12 (forall @t14 (tptp.quotient @t2 @t2 tptp.zero))) % 9.39/9.60 (assume @p13 (forall @t14 (tptp.quotient @t2 tptp.zero @t2))) % 9.39/9.60 (assume @p14 @t16) % 9.39/9.60 (assume @p15 @t17) % 9.39/9.60 (assume @p16 (not @t18)) % 9.39/9.60 (step @p17 :rule evaluate :args ((= true false))) % 9.39/9.60 (step @p18 :rule instantiate :premises (@p2) :args (@t19)) % 9.39/9.60 (step @p19 :rule cnf_or_pos :args (@t21)) % 9.39/9.60 (step @p20 :rule reordering :premises (@p19) :args ((or @t18 @t20 (not @t21)))) % 9.39/9.60 (step @p21 :rule chain_m_resolution :premises (@p20 @p16 @p18) :args (@t20 (@list true false) (@list @t18 @t21))) % 9.39/9.60 (step @p22 :rule false_intro :premises (@p21)) % 9.39/9.60 (step @p23 :rule instantiate :premises (@p6) :args ((@list tptp.zero @t22))) % 9.39/9.60 (step @p24 :rule instantiate :premises (@p4) :args ((@list tptp.x tptp.y tptp.zero tptp.z tptp.zero @t22 @t22 tptp.zero))) % 9.39/9.60 (step @p25 :rule instantiate :premises (@p13) :args ((@list @t22))) % 9.39/9.60 (step @p26 :rule instantiate :premises (@p8) :args (@t19)) % 9.39/9.60 (step @p27 :rule instantiate :premises (@p1) :args ((@list tptp.zero tptp.z))) % 9.39/9.60 (step @p28 :rule instantiate :premises (@p3) :args ((@list tptp.z tptp.identity tptp.zero))) % 9.39/9.60 (step @p29 :rule instantiate :premises (@p10) :args ((@list tptp.z))) % 9.39/9.60 (step @p30 :rule cnf_or_pos :args (@t26)) % 9.39/9.60 (step @p31 :rule reordering :premises (@p30) :args ((or @t25 @t23 (not @t26)))) % 9.39/9.60 (step @p32 :rule chain_m_resolution :premises (@p31 @p29 @p28) :args (@t23 @t27 (@list @t24 @t26))) % 9.39/9.60 (step @p33 :rule cnf_or_pos :args (@t30)) % 9.39/9.60 (step @p34 :rule reordering :premises (@p33) :args ((or @t29 @t28 (not @t30)))) % 9.39/9.60 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p27) :args (@t28 @t27 (@list @t23 @t30))) % 9.39/9.60 (step @p36 :rule instantiate :premises (@p1) :args ((@list tptp.y tptp.z))) % 9.39/9.60 (step @p37 :rule cnf_or_pos :args (@t33)) % 9.39/9.60 (step @p38 :rule reordering :premises (@p37) :args ((or @t32 @t31 (not @t33)))) % 9.39/9.60 (step @p39 :rule chain_m_resolution :premises (@p38 @p15 @p36) :args (@t31 @t27 (@list @t17 @t33))) % 9.39/9.60 (step @p40 :rule instantiate :premises (@p1) :args ((@list tptp.x tptp.y))) % 9.39/9.60 (step @p41 :rule cnf_or_pos :args (@t36)) % 9.39/9.60 (step @p42 :rule reordering :premises (@p41) :args ((or @t35 @t34 (not @t36)))) % 9.39/9.60 (step @p43 :rule chain_m_resolution :premises (@p42 @p14 @p40) :args (@t34 @t27 (@list @t16 @t36))) % 9.39/9.60 (step @p44 :rule cnf_or_pos :args (@t45)) % 9.39/9.60 (step @p45 :rule reordering :premises (@p44) :args ((or @t44 @t43 @t38 @t42 @t37 @t40 (not @t45)))) % 9.39/9.60 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p39 @p35 @p26 @p25 @p24) :args (@t37 (@list false false false false false false) (@list @t34 @t31 @t28 @t41 @t39 @t45))) % 9.39/9.60 (step @p47 :rule instantiate :premises (@p3) :args ((@list @t22 tptp.x tptp.zero))) % 9.39/9.60 (step @p48 :rule instantiate :premises (@p1) :args ((@list @t22 tptp.x))) % 9.39/9.60 (step @p49 :rule instantiate :premises (@p3) :args ((@list tptp.x tptp.z @t22))) % 9.39/9.60 (step @p50 :rule cnf_or_pos :args (@t47)) % 9.39/9.60 (step @p51 :rule reordering :premises (@p50) :args ((or @t42 @t46 (not @t47)))) % 9.39/9.60 (step @p52 :rule chain_m_resolution :premises (@p51 @p26 @p49) :args (@t46 @t27 (@list @t41 @t47))) % 9.39/9.60 (step @p53 :rule cnf_or_pos :args (@t50)) % 9.39/9.60 (step @p54 :rule reordering :premises (@p53) :args ((or @t49 @t48 (not @t50)))) % 9.39/9.60 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p48) :args (@t48 @t27 (@list @t46 @t50))) % 9.39/9.60 (step @p56 :rule cnf_or_pos :args (@t53)) % 9.39/9.60 (step @p57 :rule reordering :premises (@p56) :args ((or @t52 @t51 (not @t53)))) % 9.39/9.60 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p47) :args (@t51 @t27 (@list @t48 @t53))) % 9.39/9.60 (step @p59 :rule cnf_or_pos :args (@t57)) % 9.39/9.60 (step @p60 :rule reordering :premises (@p59) :args ((or @t56 @t55 @t54 (not @t57)))) % 9.39/9.60 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p46 @p23) :args (@t54 (@list false false false) (@list @t51 @t37 @t57))) % 9.39/9.60 (step @p62 :rule symm :premises (@p61)) % 9.39/9.60 (step @p63 :rule refl :args (tptp.z)) % 9.39/9.60 (step @p64 :rule refl :args (tptp.x)) % 9.39/9.60 (step @p65 :rule cong :premises (@p64 @p63 @p62) :args (@t41)) % 9.39/9.60 (step @p66 :rule true_intro :premises (@p26)) % 9.39/9.60 (step @p67 :rule symm :premises (@p66)) % 9.39/9.60 (step @p68 :rule trans :premises (@p67 @p65 @p22)) % 9.39/9.60 (step @p69 false :rule eq_resolve :premises (@p68 @p17)) % 9.39/9.60 ) % 9.39/9.60 % SZS output end Proof % 9.39/9.60 % cvc5 exiting %------------------------------------------------------------------------------