%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN010-2 : 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 : 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 08:22:54 AM UTC 2026 % Result : Unsatisfiable 3.62s 3.88s % Output : Proof 3.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN010-2 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 02:16:14 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 3.62/3.88 % SZS status Unsatisfiable % 3.62/3.88 % SZS output start Proof % 3.62/3.88 ( % 3.62/3.88 (declare-sort $$unsorted 0) % 3.62/3.88 (declare-const tptp.idQa_Q__idQ_idQa $$unsorted) % 3.62/3.88 (declare-const tptp.idQ_idQa $$unsorted) % 3.62/3.88 (declare-const tptp.a $$unsorted) % 3.62/3.88 (declare-const tptp.idQa $$unsorted) % 3.62/3.88 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 3.62/3.88 (declare-const tptp.identity $$unsorted) % 3.62/3.88 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 3.62/3.88 (declare-const tptp.quotient (-> $$unsorted $$unsorted $$unsorted Bool)) % 3.62/3.88 (declare-const tptp.zero $$unsorted) % 3.62/3.88 (define @t1 () (@var "Y" $$unsorted)) % 3.62/3.88 (define @t2 () (@var "X" $$unsorted)) % 3.62/3.88 (define @t3 () (tptp.quotient @t2 @t1 tptp.zero)) % 3.62/3.88 (define @t4 () (tptp.less_equal @t2 @t1)) % 3.62/3.88 (define @t5 () (not @t4)) % 3.62/3.88 (define @t6 () (@list @t2 @t1)) % 3.62/3.88 (define @t7 () (@var "Z" $$unsorted)) % 3.62/3.88 (define @t8 () (not (tptp.quotient @t2 @t1 @t7))) % 3.62/3.88 (define @t9 () (@list @t2 @t1 @t7)) % 3.62/3.88 (define @t10 () (@var "V5" $$unsorted)) % 3.62/3.88 (define @t11 () (@var "V4" $$unsorted)) % 3.62/3.88 (define @t12 () (@var "V1" $$unsorted)) % 3.62/3.88 (define @t13 () (@var "V2" $$unsorted)) % 3.62/3.88 (define @t14 () (@var "V3" $$unsorted)) % 3.62/3.88 (define @t15 () (@list @t2)) % 3.62/3.88 (define @t16 () (forall @t6 (or @t5 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 3.62/3.88 (define @t17 () (@var "W" $$unsorted)) % 3.62/3.88 (define @t18 () (@var "W2" $$unsorted)) % 3.62/3.88 (define @t19 () (@var "W1" $$unsorted)) % 3.62/3.88 (define @t20 () (tptp.less_equal @t19 @t18)) % 3.62/3.88 (define @t21 () (@list @t2 @t1 @t7 @t19 @t18)) % 3.62/3.88 (define @t22 () (@var "Y3" $$unsorted)) % 3.62/3.88 (define @t23 () (@var "Y1" $$unsorted)) % 3.62/3.88 (define @t24 () (@var "Y2" $$unsorted)) % 3.62/3.88 (define @t25 () (tptp.quotient tptp.identity tptp.a tptp.idQa)) % 3.62/3.88 (define @t26 () (tptp.quotient tptp.identity tptp.idQa tptp.idQ_idQa)) % 3.62/3.88 (define @t27 () (tptp.quotient tptp.idQa tptp.idQ_idQa tptp.idQa_Q__idQ_idQa)) % 3.62/3.88 (define @t28 () (= tptp.idQa tptp.idQa_Q__idQ_idQa)) % 3.62/3.88 (define @t29 () (not (tptp.less_equal tptp.idQa tptp.idQa_Q__idQ_idQa))) % 3.62/3.88 (define @t30 () (tptp.less_equal tptp.idQa_Q__idQ_idQa tptp.idQa)) % 3.62/3.88 (define @t31 () (not @t30)) % 3.62/3.88 (define @t32 () (or @t31 @t29 (= tptp.idQa_Q__idQ_idQa tptp.idQa))) % 3.62/3.88 (define @t33 () (or @t31 @t29 @t28)) % 3.62/3.88 (define @t34 () (@list false)) % 3.62/3.88 (define @t35 () (@list @t16)) % 3.62/3.88 (define @t36 () (not @t27)) % 3.62/3.88 (define @t37 () (or @t36 @t30)) % 3.62/3.88 (define @t38 () (@list false false)) % 3.62/3.88 (define @t39 () (tptp.divide tptp.idQa tptp.a)) % 3.62/3.88 (define @t40 () (tptp.less_equal tptp.idQa @t39)) % 3.62/3.88 (define @t41 () (not @t40)) % 3.62/3.88 (define @t42 () (tptp.less_equal @t39 tptp.idQa)) % 3.62/3.88 (define @t43 () (not @t42)) % 3.62/3.88 (define @t44 () (or @t43 @t41 (= @t39 tptp.idQa))) % 3.62/3.88 (define @t45 () (= tptp.idQa @t39)) % 3.62/3.88 (define @t46 () (or @t43 @t41 @t45)) % 3.62/3.88 (define @t47 () (tptp.quotient tptp.idQa tptp.a @t39)) % 3.62/3.88 (define @t48 () (not @t47)) % 3.62/3.88 (define @t49 () (tptp.quotient tptp.idQa tptp.zero tptp.idQa)) % 3.62/3.88 (define @t50 () (not @t49)) % 3.62/3.88 (define @t51 () (not @t25)) % 3.62/3.88 (define @t52 () (tptp.quotient tptp.a tptp.a tptp.zero)) % 3.62/3.88 (define @t53 () (not @t52)) % 3.62/3.88 (define @t54 () (or @t51 @t53 @t51 @t50 @t48 @t40)) % 3.62/3.88 (define @t55 () (or @t48 @t42)) % 3.62/3.88 (define @t56 () (@list false false false)) % 3.62/3.88 (define @t57 () (tptp.less_equal @t39 tptp.idQa_Q__idQ_idQa)) % 3.62/3.88 (define @t58 () (tptp.less_equal tptp.idQa tptp.idQa)) % 3.62/3.88 (define @t59 () (tptp.less_equal tptp.identity tptp.identity)) % 3.62/3.88 (define @t60 () (not @t59)) % 3.62/3.88 (define @t61 () (or @t60 @t51 @t51 @t58)) % 3.62/3.88 (define @t62 () (tptp.less_equal tptp.idQ_idQa tptp.a)) % 3.62/3.88 (define @t63 () (not @t26)) % 3.62/3.88 (define @t64 () (not @t58)) % 3.62/3.88 (define @t65 () (or @t51 @t64 @t63 @t62)) % 3.62/3.88 (define @t66 () (@list false false false false)) % 3.62/3.88 (define @t67 () (not @t62)) % 3.62/3.88 (define @t68 () (or @t67 @t48 @t36 @t57)) % 3.62/3.88 (assume @p1 (forall @t6 (or @t5 @t3))) % 3.62/3.88 (assume @p2 (forall @t6 (or (not @t3) @t4))) % 3.62/3.88 (assume @p3 (forall @t9 (or @t8 (tptp.less_equal @t7 @t2)))) % 3.62/3.88 (assume @p4 (forall (@list @t2 @t1 @t12 @t7 @t13 @t14 @t11 @t10) (or (not (tptp.quotient @t2 @t1 @t12)) (not (tptp.quotient @t1 @t7 @t13)) (not (tptp.quotient @t2 @t7 @t14)) (not (tptp.quotient @t14 @t13 @t11)) (not (tptp.quotient @t12 @t7 @t10)) (tptp.less_equal @t11 @t10)))) % 3.62/3.88 (assume @p5 (forall @t15 (tptp.less_equal tptp.zero @t2))) % 3.62/3.88 (assume @p6 @t16) % 3.62/3.88 (assume @p7 (forall @t15 (tptp.less_equal @t2 tptp.identity))) % 3.62/3.88 (assume @p8 (forall @t6 (tptp.quotient @t2 @t1 (tptp.divide @t2 @t1)))) % 3.62/3.88 (assume @p9 (forall (@list @t2 @t1 @t7 @t17) (or @t8 (not (tptp.quotient @t2 @t1 @t17)) (= @t7 @t17)))) % 3.62/3.88 (assume @p10 (forall @t15 (tptp.quotient @t2 tptp.identity tptp.zero))) % 3.62/3.88 (assume @p11 (forall @t15 (tptp.quotient tptp.zero @t2 tptp.zero))) % 3.62/3.88 (assume @p12 (forall @t15 (tptp.quotient @t2 @t2 tptp.zero))) % 3.62/3.88 (assume @p13 (forall @t15 (tptp.quotient @t2 tptp.zero @t2))) % 3.62/3.88 (assume @p14 (forall @t9 (or @t5 (not (tptp.less_equal @t1 @t7)) (tptp.less_equal @t2 @t7)))) % 3.62/3.88 (assume @p15 (forall (@list @t2 @t1 @t19 @t7 @t18) (or (not (tptp.quotient @t2 @t1 @t19)) (not (tptp.less_equal @t19 @t7)) (not (tptp.quotient @t2 @t7 @t18)) (tptp.less_equal @t18 @t1)))) % 3.62/3.88 (assume @p16 (forall @t21 (or @t5 (not (tptp.quotient @t7 @t1 @t19)) (not (tptp.quotient @t7 @t2 @t18)) @t20))) % 3.62/3.88 (assume @p17 (forall @t21 (or @t5 (not (tptp.quotient @t2 @t7 @t19)) (not (tptp.quotient @t1 @t7 @t18)) @t20))) % 3.62/3.88 (assume @p18 (forall (@list @t2 @t23 @t24 @t22) (or (not (tptp.quotient tptp.identity @t2 @t23)) (not (tptp.quotient tptp.identity @t23 @t24)) (not (tptp.quotient tptp.identity @t24 @t22)) (= @t23 @t22)))) % 3.62/3.88 (assume @p19 @t25) % 3.62/3.88 (assume @p20 @t26) % 3.62/3.88 (assume @p21 @t27) % 3.62/3.88 (assume @p22 (not @t28)) % 3.62/3.88 (step @p23 :rule evaluate :args ((= true false))) % 3.62/3.88 (step @p24 :rule eq-symm :args (tptp.idQa_Q__idQ_idQa tptp.idQa)) % 3.62/3.88 (step @p25 :rule refl :args (@t29)) % 3.62/3.88 (step @p26 :rule refl :args (@t31)) % 3.62/3.88 (step @p27 :rule nary_cong :premises (@p26 @p25 @p24) :args (@t32)) % 3.62/3.88 (step @p28 :rule refl :args (@t16)) % 3.62/3.88 (step @p29 :rule cong :premises (@p28 @p27) :args ((=> @t16 @t32))) % 3.62/3.88 (assume-push @p93 @t16) % 3.62/3.88 (step @p31 :rule instantiate :premises (@p6) :args ((@list tptp.idQa_Q__idQ_idQa tptp.idQa))) % 3.62/3.88 (step-pop @p94 :rule scope :premises (@p31)) % 3.62/3.88 (step @p32 :rule process_scope :premises (@p94) :args (@t32)) % 3.62/3.88 (step @p34 :rule eq_resolve :premises (@p32 @p29)) % 3.62/3.88 (step @p35 :rule implies_elim :premises (@p34)) % 3.62/3.88 (step @p36 :rule chain_m_resolution :premises (@p35 @p6) :args (@t33 @t34 @t35)) % 3.62/3.88 (step @p37 :rule instantiate :premises (@p3) :args ((@list tptp.idQa tptp.idQ_idQa tptp.idQa_Q__idQ_idQa))) % 3.62/3.88 (step @p38 :rule cnf_or_pos :args (@t37)) % 3.62/3.88 (step @p39 :rule reordering :premises (@p38) :args ((or @t36 @t30 (not @t37)))) % 3.62/3.88 (step @p40 :rule chain_m_resolution :premises (@p39 @p21 @p37) :args (@t30 @t38 (@list @t27 @t37))) % 3.62/3.88 (step @p41 :rule cnf_or_pos :args (@t33)) % 3.62/3.88 (step @p42 :rule reordering :premises (@p41) :args ((or @t28 @t31 @t29 (not @t33)))) % 3.62/3.88 (step @p43 :rule chain_m_resolution :premises (@p42 @p22 @p40 @p36) :args (@t29 (@list true false false) (@list @t28 @t30 @t33))) % 3.62/3.88 (step @p44 :rule false_intro :premises (@p43)) % 3.62/3.88 (step @p45 :rule refl :args (tptp.idQa_Q__idQ_idQa)) % 3.62/3.88 (step @p46 :rule eq-symm :args (@t39 tptp.idQa)) % 3.62/3.88 (step @p47 :rule refl :args (@t41)) % 3.62/3.88 (step @p48 :rule refl :args (@t43)) % 3.62/3.88 (step @p49 :rule nary_cong :premises (@p48 @p47 @p46) :args (@t44)) % 3.62/3.88 (step @p50 :rule cong :premises (@p28 @p49) :args ((=> @t16 @t44))) % 3.62/3.88 (assume-push @p95 @t16) % 3.62/3.88 (step @p52 :rule instantiate :premises (@p6) :args ((@list @t39 tptp.idQa))) % 3.62/3.88 (step-pop @p96 :rule scope :premises (@p52)) % 3.62/3.88 (step @p53 :rule process_scope :premises (@p96) :args (@t44)) % 3.62/3.88 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 3.62/3.88 (step @p56 :rule implies_elim :premises (@p55)) % 3.62/3.88 (step @p57 :rule chain_m_resolution :premises (@p56 @p6) :args (@t46 @t34 @t35)) % 3.62/3.88 (step @p58 :rule instantiate :premises (@p4) :args ((@list tptp.identity tptp.a tptp.idQa tptp.a tptp.zero tptp.idQa tptp.idQa @t39))) % 3.62/3.88 (step @p59 :rule instantiate :premises (@p8) :args ((@list tptp.idQa tptp.a))) % 3.62/3.88 (step @p60 :rule instantiate :premises (@p13) :args ((@list tptp.idQa))) % 3.62/3.88 (step @p61 :rule instantiate :premises (@p12) :args ((@list tptp.a))) % 3.62/3.88 (step @p62 :rule cnf_or_pos :args (@t54)) % 3.62/3.88 (step @p63 :rule factoring :premises (@p62)) % 3.62/3.88 (step @p64 :rule reordering :premises (@p63) :args ((or @t51 @t53 @t50 @t48 @t40 (not @t54)))) % 3.62/3.88 (step @p65 :rule chain_m_resolution :premises (@p64 @p19 @p61 @p60 @p59 @p58) :args (@t40 (@list false false false false false) (@list @t25 @t52 @t49 @t47 @t54))) % 3.62/3.88 (step @p66 :rule instantiate :premises (@p3) :args ((@list tptp.idQa tptp.a @t39))) % 3.62/3.88 (step @p67 :rule cnf_or_pos :args (@t55)) % 3.62/3.88 (step @p68 :rule reordering :premises (@p67) :args ((or @t48 @t42 (not @t55)))) % 3.62/3.88 (step @p69 :rule chain_m_resolution :premises (@p68 @p59 @p66) :args (@t42 @t38 (@list @t47 @t55))) % 3.62/3.88 (step @p70 :rule cnf_or_pos :args (@t46)) % 3.62/3.88 (step @p71 :rule reordering :premises (@p70) :args ((or @t43 @t41 @t45 (not @t46)))) % 3.62/3.88 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p65 @p57) :args (@t45 @t56 (@list @t42 @t40 @t46))) % 3.62/3.88 (step @p73 :rule symm :premises (@p72)) % 3.62/3.88 (step @p74 :rule cong :premises (@p73 @p45) :args (@t57)) % 3.62/3.88 (step @p75 :rule instantiate :premises (@p16) :args ((@list tptp.idQ_idQa tptp.a tptp.idQa @t39 tptp.idQa_Q__idQ_idQa))) % 3.62/3.88 (step @p76 :rule instantiate :premises (@p15) :args ((@list tptp.identity tptp.a tptp.idQa tptp.idQa tptp.idQ_idQa))) % 3.62/3.88 (step @p77 :rule instantiate :premises (@p17) :args ((@list tptp.identity tptp.identity tptp.a tptp.idQa tptp.idQa))) % 3.62/3.88 (step @p78 :rule instantiate :premises (@p7) :args ((@list tptp.identity))) % 3.62/3.88 (step @p79 :rule cnf_or_pos :args (@t61)) % 3.62/3.88 (step @p80 :rule factoring :premises (@p79)) % 3.62/3.88 (step @p81 :rule reordering :premises (@p80) :args ((or @t51 @t58 @t60 (not @t61)))) % 3.62/3.88 (step @p82 :rule chain_m_resolution :premises (@p81 @p19 @p78 @p77) :args (@t58 @t56 (@list @t25 @t59 @t61))) % 3.62/3.88 (step @p83 :rule cnf_or_pos :args (@t65)) % 3.62/3.88 (step @p84 :rule reordering :premises (@p83) :args ((or @t51 @t63 @t64 @t62 (not @t65)))) % 3.62/3.88 (step @p85 :rule chain_m_resolution :premises (@p84 @p19 @p20 @p82 @p76) :args (@t62 @t66 (@list @t25 @t26 @t58 @t65))) % 3.62/3.88 (step @p86 :rule cnf_or_pos :args (@t68)) % 3.62/3.88 (step @p87 :rule reordering :premises (@p86) :args ((or @t36 @t67 @t48 @t57 (not @t68)))) % 3.62/3.88 (step @p88 :rule chain_m_resolution :premises (@p87 @p21 @p85 @p59 @p75) :args (@t57 @t66 (@list @t27 @t62 @t47 @t68))) % 3.62/3.88 (step @p89 :rule true_intro :premises (@p88)) % 3.62/3.88 (step @p90 :rule symm :premises (@p89)) % 3.62/3.88 (step @p91 :rule trans :premises (@p90 @p74 @p44)) % 3.62/3.88 (step @p92 false :rule eq_resolve :premises (@p91 @p23)) % 3.62/3.88 ) % 3.62/3.89 % SZS output end Proof % 3.62/3.89 % cvc5 exiting %------------------------------------------------------------------------------