%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT268-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:30:02 AM UTC 2026 % Result : Unsatisfiable 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT268-2 : TPTP v9.2.1. Released v3.2.0. % 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 : 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 06:07:51 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.54 % SZS status Unsatisfiable % 0.30/0.54 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort $$unsorted 0) % 0.30/0.55 (declare-const tptp.c_Tarski_Odual (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.c_Tarski_OCompleteLattice $$unsorted) % 0.30/0.55 (declare-const tptp.c_Tarski_OPartialOrder $$unsorted) % 0.30/0.55 (declare-const tptp.tc_Tarski_Opotype_Opotype__ext__type (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.c_Tarski_Olub (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.c_Tarski_Opotype_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.c_Tarski_Opotype_Opset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.v_A $$unsorted) % 0.30/0.55 (declare-const tptp.v_S $$unsorted) % 0.30/0.55 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.v_cl $$unsorted) % 0.30/0.55 (declare-const tptp.tc_Product__Type_Ounit $$unsorted) % 0.30/0.55 (declare-const tptp.t_a $$unsorted) % 0.30/0.55 (declare-const tptp.v_x $$unsorted) % 0.30/0.55 (declare-const tptp.v_r $$unsorted) % 0.30/0.55 (declare-const tptp.c_Tarski_Oglb (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (define @t1 () (tptp.tc_set tptp.t_a)) % 0.30/0.55 (define @t2 () (tptp.c_in tptp.v_x tptp.v_S tptp.t_a)) % 0.30/0.55 (define @t3 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 0.30/0.55 (define @t4 () (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a)) % 0.30/0.55 (define @t5 () (tptp.c_Pair @t4 tptp.v_x tptp.t_a tptp.t_a)) % 0.30/0.55 (define @t6 () (@var "T_a" $$unsorted)) % 0.30/0.55 (define @t7 () (tptp.tc_prod @t6 @t6)) % 0.30/0.55 (define @t8 () (@var "V_cl" $$unsorted)) % 0.30/0.55 (define @t9 () (tptp.c_Tarski_Opotype_Oorder @t8 @t6 tptp.tc_Product__Type_Ounit)) % 0.30/0.55 (define @t10 () (@var "V_S" $$unsorted)) % 0.30/0.55 (define @t11 () (@var "V_x" $$unsorted)) % 0.30/0.55 (define @t12 () (tptp.c_Tarski_Opotype_Opset @t8 @t6 tptp.tc_Product__Type_Ounit)) % 0.30/0.55 (define @t13 () (tptp.tc_Tarski_Opotype_Opotype__ext__type @t6 tptp.tc_Product__Type_Ounit)) % 0.30/0.55 (define @t14 () (forall (@list @t11 @t10 @t6 @t8) (or (not (tptp.c_in @t11 @t10 @t6)) (not (tptp.c_in @t8 tptp.c_Tarski_OCompleteLattice @t13)) (not (tptp.c_in @t8 tptp.c_Tarski_OPartialOrder @t13)) (not (tptp.c_lessequals @t10 @t12 (tptp.tc_set @t6))) (tptp.c_in (tptp.c_Pair @t11 (tptp.c_Tarski_Olub @t10 @t8 @t6) @t6 @t6) @t9 @t7)))) % 0.30/0.55 (define @t15 () (@var "V_y" $$unsorted)) % 0.30/0.55 (define @t16 () (tptp.c_Tarski_Odual @t8 @t6)) % 0.30/0.55 (define @t17 () (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit)) % 0.30/0.55 (define @t18 () (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a)) % 0.30/0.55 (define @t19 () (tptp.c_in @t18 tptp.c_Tarski_OCompleteLattice @t17)) % 0.30/0.55 (define @t20 () (tptp.c_in @t18 tptp.c_Tarski_OPartialOrder @t17)) % 0.30/0.55 (define @t21 () (tptp.c_Tarski_Opotype_Opset @t16 @t6 tptp.tc_Product__Type_Ounit)) % 0.30/0.55 (define @t22 () (forall (@list @t8 @t6) (= @t21 @t12))) % 0.30/0.55 (define @t23 () (tptp.c_Tarski_Opotype_Oorder tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) % 0.30/0.55 (define @t24 () (tptp.c_in @t5 @t23 @t3)) % 0.30/0.55 (define @t25 () (tptp.c_Tarski_Opotype_Oorder @t18 tptp.t_a tptp.tc_Product__Type_Ounit)) % 0.30/0.55 (define @t26 () (not (tptp.c_in (tptp.c_Pair tptp.v_x @t4 tptp.t_a tptp.t_a) @t25 @t3))) % 0.30/0.55 (define @t27 () (or @t26 @t24)) % 0.30/0.55 (define @t28 () (@list true false)) % 0.30/0.55 (define @t29 () (tptp.c_Pair tptp.v_x (tptp.c_Tarski_Olub tptp.v_S @t18 tptp.t_a) tptp.t_a tptp.t_a)) % 0.30/0.55 (define @t30 () (tptp.c_in @t29 @t25 @t3)) % 0.30/0.55 (define @t31 () (tptp.c_lessequals tptp.v_S (tptp.c_Tarski_Opotype_Opset @t18 tptp.t_a tptp.tc_Product__Type_Ounit) @t1)) % 0.30/0.55 (define @t32 () (not @t31)) % 0.30/0.55 (define @t33 () (not @t20)) % 0.30/0.55 (define @t34 () (not @t19)) % 0.30/0.55 (define @t35 () (not @t2)) % 0.30/0.55 (define @t36 () (or @t35 @t34 @t33 @t32 @t30)) % 0.30/0.55 (define @t37 () (not @t36)) % 0.30/0.55 (assume @p1 (tptp.c_lessequals tptp.v_S tptp.v_A @t1)) % 0.30/0.55 (assume @p2 @t2) % 0.30/0.55 (assume @p3 (not (tptp.c_in @t5 tptp.v_r @t3))) % 0.30/0.55 (assume @p4 (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) % 0.30/0.55 (assume @p5 @t14) % 0.30/0.55 (assume @p6 (forall (@list @t11 @t15 @t6 @t8) (or (not (tptp.c_in (tptp.c_Pair @t11 @t15 @t6 @t6) (tptp.c_Tarski_Opotype_Oorder @t16 @t6 tptp.tc_Product__Type_Ounit) @t7)) (tptp.c_in (tptp.c_Pair @t15 @t11 @t6 @t6) @t9 @t7)))) % 0.30/0.55 (assume @p7 @t19) % 0.30/0.55 (assume @p8 @t20) % 0.30/0.55 (assume @p9 (forall (@list @t10 @t8 @t6) (= (tptp.c_Tarski_Oglb @t10 @t8 @t6) (tptp.c_Tarski_Olub @t10 @t16 @t6)))) % 0.30/0.55 (assume @p10 @t22) % 0.30/0.55 (assume @p11 (= tptp.v_r @t23)) % 0.30/0.55 (step @p12 :rule instantiate :premises (@p6) :args ((@list tptp.v_x @t4 tptp.t_a tptp.v_cl))) % 0.30/0.55 (step @p13 :rule false_intro :premises (@p3)) % 0.30/0.55 (step @p14 :rule refl :args (@t3)) % 0.30/0.55 (step @p15 :rule symm :premises (@p11)) % 0.30/0.55 (step @p16 :rule refl :args (@t5)) % 0.30/0.55 (step @p17 :rule cong :premises (@p16 @p15 @p14) :args (@t24)) % 0.30/0.55 (step @p18 :rule trans :premises (@p17 @p13)) % 0.30/0.55 (step @p19 :rule false_elim :premises (@p18)) % 0.30/0.55 (step @p20 :rule cnf_or_pos :args (@t27)) % 0.30/0.55 (step @p21 :rule reordering :premises (@p20) :args ((or @t26 @t24 (not @t27)))) % 0.30/0.55 (step @p22 :rule chain_m_resolution :premises (@p21 @p19 @p12) :args (@t26 @t28 (@list @t24 @t27))) % 0.30/0.55 (step @p23 :rule false_intro :premises (@p22)) % 0.30/0.55 (step @p24 :rule refl :args (@t25)) % 0.30/0.55 (step @p25 :rule refl :args (tptp.t_a)) % 0.30/0.55 (step @p26 :rule instantiate :premises (@p9) :args ((@list tptp.v_S tptp.v_cl tptp.t_a))) % 0.30/0.55 (step @p27 :rule symm :premises (@p26)) % 0.30/0.55 (step @p28 :rule refl :args (tptp.v_x)) % 0.30/0.55 (step @p29 :rule cong :premises (@p28 @p27 @p25 @p25) :args (@t29)) % 0.30/0.55 (step @p30 :rule cong :premises (@p29 @p24 @p14) :args (@t30)) % 0.30/0.55 (step @p31 :rule trans :premises (@p30 @p23)) % 0.30/0.55 (step @p32 :rule false_elim :premises (@p31)) % 0.30/0.55 (step @p33 :rule true_intro :premises (@p1)) % 0.30/0.55 (step @p34 :rule refl :args (@t1)) % 0.30/0.55 (step @p35 :rule symm :premises (@p4)) % 0.30/0.55 (step @p36 :rule eq-symm :args (@t21 @t12)) % 0.30/0.55 (step @p37 :rule cong :premises (@p36) :args (@t22)) % 0.30/0.55 (step @p38 :rule eq_resolve :premises (@p10 @p37)) % 0.30/0.55 (step @p39 :rule instantiate :premises (@p38) :args ((@list tptp.v_cl tptp.t_a))) % 0.30/0.55 (step @p40 :rule symm :premises (@p39)) % 0.30/0.55 (step @p41 :rule trans :premises (@p40 @p35)) % 0.30/0.55 (step @p42 :rule refl :args (tptp.v_S)) % 0.30/0.55 (step @p43 :rule cong :premises (@p42 @p41 @p34) :args (@t31)) % 0.30/0.55 (step @p44 :rule trans :premises (@p43 @p33)) % 0.30/0.55 (step @p45 :rule true_elim :premises (@p44)) % 0.30/0.55 (step @p46 :rule cnf_or_pos :args (@t36)) % 0.30/0.55 (step @p47 :rule reordering :premises (@p46) :args ((or @t35 @t34 @t33 @t32 @t30 @t37))) % 0.30/0.55 (step @p48 :rule chain_m_resolution :premises (@p47 @p2 @p7 @p8 @p45 @p32) :args (@t37 (@list false false false false true) (@list @t2 @t19 @t20 @t31 @t30))) % 0.30/0.55 (assume-push @p55 @t14) % 0.30/0.55 (step @p50 :rule instantiate :premises (@p5) :args ((@list tptp.v_x tptp.v_S tptp.t_a @t18))) % 0.30/0.55 (step-pop @p56 :rule scope :premises (@p50)) % 0.30/0.55 (step @p51 :rule process_scope :premises (@p56) :args (@t36)) % 0.30/0.55 (step @p53 :rule implies_elim :premises (@p51)) % 0.30/0.55 (step @p54 false :rule chain_m_resolution :premises (@p53 @p48 @p5) :args (false @t28 (@list @t36 @t14))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------