%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN009-2 : 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 : n005.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 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN009-2 : 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 % 0.16/0.34 % Computer : n005.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 02:16:03 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Unsatisfiable % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.idQ__idQ_idQa $$unsorted) % 0.37/0.58 (declare-const tptp.idQ_idQa $$unsorted) % 0.37/0.58 (declare-const tptp.a $$unsorted) % 0.37/0.58 (declare-const tptp.idQa $$unsorted) % 0.37/0.58 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.58 (declare-const tptp.identity $$unsorted) % 0.37/0.58 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.quotient (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.zero $$unsorted) % 0.37/0.58 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.58 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.58 (define @t3 () (tptp.quotient @t2 @t1 tptp.zero)) % 0.37/0.58 (define @t4 () (tptp.less_equal @t2 @t1)) % 0.37/0.58 (define @t5 () (not @t4)) % 0.37/0.58 (define @t6 () (@list @t2 @t1)) % 0.37/0.58 (define @t7 () (@var "Z" $$unsorted)) % 0.37/0.58 (define @t8 () (not (tptp.quotient @t2 @t1 @t7))) % 0.37/0.58 (define @t9 () (@list @t2 @t1 @t7)) % 0.37/0.58 (define @t10 () (@var "V5" $$unsorted)) % 0.37/0.58 (define @t11 () (@var "V4" $$unsorted)) % 0.37/0.58 (define @t12 () (@var "V1" $$unsorted)) % 0.37/0.58 (define @t13 () (@var "V2" $$unsorted)) % 0.37/0.58 (define @t14 () (@var "V3" $$unsorted)) % 0.37/0.58 (define @t15 () (@list @t2)) % 0.37/0.58 (define @t16 () (forall @t6 (or @t5 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 0.37/0.58 (define @t17 () (@var "W" $$unsorted)) % 0.37/0.58 (define @t18 () (@var "W2" $$unsorted)) % 0.37/0.58 (define @t19 () (@var "W1" $$unsorted)) % 0.37/0.58 (define @t20 () (tptp.less_equal @t19 @t18)) % 0.37/0.58 (define @t21 () (@list @t2 @t1 @t7 @t19 @t18)) % 0.37/0.58 (define @t22 () (tptp.quotient tptp.identity tptp.a tptp.idQa)) % 0.37/0.58 (define @t23 () (tptp.quotient tptp.identity tptp.idQa tptp.idQ_idQa)) % 0.37/0.58 (define @t24 () (tptp.quotient tptp.identity tptp.idQ_idQa tptp.idQ__idQ_idQa)) % 0.37/0.58 (define @t25 () (= tptp.idQa tptp.idQ__idQ_idQa)) % 0.37/0.58 (define @t26 () (tptp.less_equal tptp.idQa tptp.idQa)) % 0.37/0.58 (define @t27 () (not @t22)) % 0.37/0.58 (define @t28 () (tptp.less_equal tptp.identity tptp.identity)) % 0.37/0.58 (define @t29 () (not @t28)) % 0.37/0.58 (define @t30 () (or @t29 @t27 @t27 @t26)) % 0.37/0.58 (define @t31 () (@list false false false)) % 0.37/0.58 (define @t32 () (tptp.less_equal tptp.idQ_idQa tptp.a)) % 0.37/0.58 (define @t33 () (not @t23)) % 0.37/0.58 (define @t34 () (not @t26)) % 0.37/0.58 (define @t35 () (or @t27 @t34 @t33 @t32)) % 0.37/0.58 (define @t36 () (@list false false false false)) % 0.37/0.58 (define @t37 () (tptp.less_equal tptp.idQa tptp.idQ__idQ_idQa)) % 0.37/0.58 (define @t38 () (not @t24)) % 0.37/0.58 (define @t39 () (not @t32)) % 0.37/0.58 (define @t40 () (or @t39 @t27 @t38 @t37)) % 0.37/0.58 (define @t41 () (tptp.less_equal tptp.idQ_idQa tptp.idQ_idQa)) % 0.37/0.58 (define @t42 () (or @t29 @t33 @t33 @t41)) % 0.37/0.58 (define @t43 () (tptp.less_equal tptp.idQ__idQ_idQa tptp.idQa)) % 0.37/0.58 (define @t44 () (not @t41)) % 0.37/0.58 (define @t45 () (or @t33 @t44 @t38 @t43)) % 0.37/0.58 (define @t46 () (not @t43)) % 0.37/0.58 (define @t47 () (not @t37)) % 0.37/0.58 (define @t48 () (or @t47 @t46 @t25)) % 0.37/0.58 (define @t49 () (not @t48)) % 0.37/0.58 (assume @p1 (forall @t6 (or @t5 @t3))) % 0.37/0.58 (assume @p2 (forall @t6 (or (not @t3) @t4))) % 0.37/0.58 (assume @p3 (forall @t9 (or @t8 (tptp.less_equal @t7 @t2)))) % 0.37/0.58 (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)))) % 0.37/0.58 (assume @p5 (forall @t15 (tptp.less_equal tptp.zero @t2))) % 0.37/0.59 (assume @p6 @t16) % 0.37/0.59 (assume @p7 (forall @t15 (tptp.less_equal @t2 tptp.identity))) % 0.37/0.59 (assume @p8 (forall @t6 (tptp.quotient @t2 @t1 (tptp.divide @t2 @t1)))) % 0.37/0.59 (assume @p9 (forall (@list @t2 @t1 @t7 @t17) (or @t8 (not (tptp.quotient @t2 @t1 @t17)) (= @t7 @t17)))) % 0.37/0.59 (assume @p10 (forall @t15 (tptp.quotient @t2 tptp.identity tptp.zero))) % 0.37/0.59 (assume @p11 (forall @t15 (tptp.quotient tptp.zero @t2 tptp.zero))) % 0.37/0.59 (assume @p12 (forall @t15 (tptp.quotient @t2 @t2 tptp.zero))) % 0.37/0.59 (assume @p13 (forall @t15 (tptp.quotient @t2 tptp.zero @t2))) % 0.37/0.59 (assume @p14 (forall @t9 (or @t5 (not (tptp.less_equal @t1 @t7)) (tptp.less_equal @t2 @t7)))) % 0.37/0.59 (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)))) % 0.37/0.59 (assume @p16 (forall @t21 (or @t5 (not (tptp.quotient @t7 @t1 @t19)) (not (tptp.quotient @t7 @t2 @t18)) @t20))) % 0.37/0.59 (assume @p17 (forall @t21 (or @t5 (not (tptp.quotient @t2 @t7 @t19)) (not (tptp.quotient @t1 @t7 @t18)) @t20))) % 0.37/0.59 (assume @p18 @t22) % 0.37/0.59 (assume @p19 @t23) % 0.37/0.59 (assume @p20 @t24) % 0.37/0.59 (assume @p21 (not @t25)) % 0.37/0.59 (step @p22 :rule instantiate :premises (@p16) :args ((@list tptp.idQ_idQa tptp.a tptp.identity tptp.idQa tptp.idQ__idQ_idQa))) % 0.37/0.59 (step @p23 :rule instantiate :premises (@p15) :args ((@list tptp.identity tptp.a tptp.idQa tptp.idQa tptp.idQ_idQa))) % 0.37/0.59 (step @p24 :rule instantiate :premises (@p17) :args ((@list tptp.identity tptp.identity tptp.a tptp.idQa tptp.idQa))) % 0.37/0.59 (step @p25 :rule instantiate :premises (@p7) :args ((@list tptp.identity))) % 0.37/0.59 (step @p26 :rule cnf_or_pos :args (@t30)) % 0.37/0.59 (step @p27 :rule factoring :premises (@p26)) % 0.37/0.59 (step @p28 :rule reordering :premises (@p27) :args ((or @t27 @t26 @t29 (not @t30)))) % 0.37/0.59 (step @p29 :rule chain_m_resolution :premises (@p28 @p18 @p25 @p24) :args (@t26 @t31 (@list @t22 @t28 @t30))) % 0.37/0.59 (step @p30 :rule cnf_or_pos :args (@t35)) % 0.37/0.59 (step @p31 :rule reordering :premises (@p30) :args ((or @t27 @t33 @t34 @t32 (not @t35)))) % 0.37/0.59 (step @p32 :rule chain_m_resolution :premises (@p31 @p18 @p19 @p29 @p23) :args (@t32 @t36 (@list @t22 @t23 @t26 @t35))) % 0.37/0.59 (step @p33 :rule cnf_or_pos :args (@t40)) % 0.37/0.59 (step @p34 :rule reordering :premises (@p33) :args ((or @t27 @t38 @t39 @t37 (not @t40)))) % 0.37/0.59 (step @p35 :rule chain_m_resolution :premises (@p34 @p18 @p20 @p32 @p22) :args (@t37 @t36 (@list @t22 @t24 @t32 @t40))) % 0.37/0.59 (step @p36 :rule instantiate :premises (@p15) :args ((@list tptp.identity tptp.idQa tptp.idQ_idQa tptp.idQ_idQa tptp.idQ__idQ_idQa))) % 0.37/0.59 (step @p37 :rule instantiate :premises (@p17) :args ((@list tptp.identity tptp.identity tptp.idQa tptp.idQ_idQa tptp.idQ_idQa))) % 0.37/0.59 (step @p38 :rule cnf_or_pos :args (@t42)) % 0.37/0.59 (step @p39 :rule factoring :premises (@p38)) % 0.37/0.59 (step @p40 :rule reordering :premises (@p39) :args ((or @t33 @t41 @t29 (not @t42)))) % 0.37/0.59 (step @p41 :rule chain_m_resolution :premises (@p40 @p19 @p25 @p37) :args (@t41 @t31 (@list @t23 @t28 @t42))) % 0.37/0.59 (step @p42 :rule cnf_or_pos :args (@t45)) % 0.37/0.59 (step @p43 :rule reordering :premises (@p42) :args ((or @t33 @t38 @t44 @t43 (not @t45)))) % 0.37/0.59 (step @p44 :rule chain_m_resolution :premises (@p43 @p19 @p20 @p41 @p36) :args (@t43 @t36 (@list @t23 @t24 @t41 @t45))) % 0.37/0.59 (step @p45 :rule cnf_or_pos :args (@t48)) % 0.37/0.59 (step @p46 :rule reordering :premises (@p45) :args ((or @t25 @t46 @t47 @t49))) % 0.37/0.59 (step @p47 :rule chain_m_resolution :premises (@p46 @p21 @p44 @p35) :args (@t49 (@list true false false) (@list @t25 @t43 @t37))) % 0.37/0.59 (assume-push @p54 @t16) % 0.37/0.59 (step @p49 :rule instantiate :premises (@p6) :args ((@list tptp.idQa tptp.idQ__idQ_idQa))) % 0.37/0.59 (step-pop @p55 :rule scope :premises (@p49)) % 0.37/0.59 (step @p50 :rule process_scope :premises (@p55) :args (@t48)) % 0.37/0.59 (step @p52 :rule implies_elim :premises (@p50)) % 0.37/0.59 (step @p53 false :rule chain_m_resolution :premises (@p52 @p47 @p6) :args (false (@list true false) (@list @t48 @t16))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------