%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT269-2 : 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 : n006.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 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT269-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.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 06:07:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.55 % SZS status Unsatisfiable % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort $$unsorted 0) % 0.30/0.55 (declare-const tptp.c_Tarski_Olub (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.c_Tarski_Ointerval (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.c_emptyset $$unsorted) % 0.30/0.55 (declare-const tptp.v_Y $$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_A $$unsorted) % 0.30/0.55 (declare-const tptp.tc_Tarski_Opotype_Opotype__ext__type (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.c_Tarski_OCompleteLattice $$unsorted) % 0.30/0.55 (declare-const tptp.c_Product__Type_OUnity $$unsorted) % 0.30/0.55 (declare-const tptp.v_r $$unsorted) % 0.30/0.55 (declare-const tptp.v_intY1 $$unsorted) % 0.30/0.55 (declare-const tptp.c_Tarski_OTop (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.v_cl $$unsorted) % 0.30/0.55 (declare-const tptp.c_Tarski_Oinduced (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.c_Tarski_Opotype_Opotype__ext (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (define @t1 () (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit)) % 0.30/0.55 (define @t2 () (tptp.c_Tarski_OTop tptp.v_cl tptp.t_a)) % 0.30/0.55 (define @t3 () (tptp.c_in @t2 tptp.v_A tptp.t_a)) % 0.30/0.55 (define @t4 () (@var "V_b" $$unsorted)) % 0.30/0.55 (define @t5 () (@var "V_a" $$unsorted)) % 0.30/0.55 (define @t6 () (tptp.c_Tarski_Ointerval tptp.v_r @t5 @t4 tptp.t_a)) % 0.30/0.55 (define @t7 () (tptp.c_in (tptp.c_Tarski_Opotype_Opotype__ext @t6 (tptp.c_Tarski_Oinduced @t6 tptp.v_r tptp.t_a) tptp.c_Product__Type_OUnity tptp.t_a tptp.tc_Product__Type_Ounit) tptp.c_Tarski_OCompleteLattice @t1)) % 0.30/0.55 (define @t8 () (not (tptp.c_in @t5 tptp.v_A tptp.t_a))) % 0.30/0.55 (define @t9 () (not (tptp.c_in @t4 tptp.v_A tptp.t_a))) % 0.30/0.55 (define @t10 () (or @t9 @t8 @t7 (= @t6 tptp.c_emptyset))) % 0.30/0.55 (define @t11 () (forall (@list @t4 @t5) @t10)) % 0.30/0.55 (define @t12 () (tptp.c_Tarski_Olub tptp.v_Y tptp.v_cl tptp.t_a)) % 0.30/0.55 (define @t13 () (tptp.c_Tarski_Ointerval tptp.v_r @t12 @t2 tptp.t_a)) % 0.30/0.55 (define @t14 () (tptp.c_in @t12 tptp.v_A tptp.t_a)) % 0.30/0.55 (define @t15 () (@var "V_x" $$unsorted)) % 0.30/0.55 (define @t16 () (tptp.c_Tarski_Ointerval tptp.v_r @t15 @t2 tptp.t_a)) % 0.30/0.55 (define @t17 () (not (= @t16 tptp.c_emptyset))) % 0.30/0.55 (define @t18 () (not (tptp.c_in @t15 tptp.v_A tptp.t_a))) % 0.30/0.55 (define @t19 () (or @t18 @t17)) % 0.30/0.55 (define @t20 () (forall (@list @t15) @t19)) % 0.30/0.55 (define @t21 () (tptp.c_Tarski_Oinduced @t13 tptp.v_r tptp.t_a)) % 0.30/0.55 (define @t22 () (tptp.c_Tarski_Opotype_Opotype__ext @t13 @t21 tptp.c_Product__Type_OUnity tptp.t_a tptp.tc_Product__Type_Ounit)) % 0.30/0.55 (define @t23 () (tptp.c_in @t22 tptp.c_Tarski_OCompleteLattice @t1)) % 0.30/0.55 (define @t24 () (= tptp.c_emptyset @t13)) % 0.30/0.55 (define @t25 () (not @t14)) % 0.30/0.55 (define @t26 () (not @t3)) % 0.30/0.55 (define @t27 () (or @t26 @t25 @t23 @t24)) % 0.30/0.55 (define @t28 () (not @t24)) % 0.30/0.55 (define @t29 () (or @t25 @t28)) % 0.30/0.55 (assume @p1 (not (tptp.c_in (tptp.c_Tarski_Opotype_Opotype__ext tptp.v_intY1 (tptp.c_Tarski_Oinduced tptp.v_intY1 tptp.v_r tptp.t_a) tptp.c_Product__Type_OUnity tptp.t_a tptp.tc_Product__Type_Ounit) tptp.c_Tarski_OCompleteLattice @t1))) % 0.30/0.55 (assume @p2 @t3) % 0.30/0.55 (assume @p3 @t11) % 0.30/0.55 (assume @p4 (= tptp.v_intY1 @t13)) % 0.30/0.55 (assume @p5 @t14) % 0.30/0.55 (assume @p6 @t20) % 0.30/0.55 (step @p7 :rule eq-symm :args (@t16 tptp.c_emptyset)) % 0.30/0.55 (step @p8 :rule cong :premises (@p7) :args (@t17)) % 0.30/0.55 (step @p9 :rule refl :args (@t18)) % 0.30/0.55 (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t19)) % 0.30/0.55 (step @p11 :rule cong :premises (@p10) :args (@t20)) % 0.30/0.55 (step @p12 :rule eq_resolve :premises (@p6 @p11)) % 0.30/0.55 (step @p13 :rule instantiate :premises (@p12) :args ((@list @t12))) % 0.30/0.55 (step @p14 :rule eq-symm :args (@t6 tptp.c_emptyset)) % 0.30/0.55 (step @p15 :rule refl :args (@t7)) % 0.30/0.55 (step @p16 :rule refl :args (@t8)) % 0.30/0.55 (step @p17 :rule refl :args (@t9)) % 0.30/0.55 (step @p18 :rule nary_cong :premises (@p17 @p16 @p15 @p14) :args (@t10)) % 0.30/0.55 (step @p19 :rule cong :premises (@p18) :args (@t11)) % 0.30/0.55 (step @p20 :rule eq_resolve :premises (@p3 @p19)) % 0.30/0.55 (step @p21 :rule instantiate :premises (@p20) :args ((@list @t2 @t12))) % 0.30/0.55 (step @p22 :rule false_intro :premises (@p1)) % 0.30/0.55 (step @p23 :rule refl :args (@t1)) % 0.30/0.55 (step @p24 :rule refl :args (tptp.c_Tarski_OCompleteLattice)) % 0.30/0.55 (step @p25 :rule refl :args (tptp.tc_Product__Type_Ounit)) % 0.30/0.55 (step @p26 :rule refl :args (tptp.t_a)) % 0.30/0.55 (step @p27 :rule refl :args (tptp.c_Product__Type_OUnity)) % 0.30/0.55 (step @p28 :rule refl :args (tptp.v_r)) % 0.30/0.55 (step @p29 :rule symm :premises (@p4)) % 0.30/0.55 (step @p30 :rule cong :premises (@p29 @p28 @p26) :args (@t21)) % 0.30/0.55 (step @p31 :rule cong :premises (@p29 @p30 @p27 @p26 @p25) :args (@t22)) % 0.30/0.55 (step @p32 :rule cong :premises (@p31 @p24 @p23) :args (@t23)) % 0.30/0.55 (step @p33 :rule trans :premises (@p32 @p22)) % 0.30/0.55 (step @p34 :rule false_elim :premises (@p33)) % 0.30/0.55 (step @p35 :rule cnf_or_pos :args (@t27)) % 0.30/0.55 (step @p36 :rule reordering :premises (@p35) :args ((or @t26 @t25 @t23 @t24 (not @t27)))) % 0.30/0.55 (step @p37 :rule chain_m_resolution :premises (@p36 @p2 @p5 @p34 @p21) :args (@t24 (@list false false true false) (@list @t3 @t14 @t23 @t27))) % 0.30/0.55 (step @p38 :rule cnf_or_pos :args (@t29)) % 0.30/0.55 (step @p39 :rule reordering :premises (@p38) :args ((or @t25 @t28 (not @t29)))) % 0.30/0.55 (step @p40 false :rule chain_m_resolution :premises (@p39 @p37 @p13 @p5) :args (false (@list false false false) (@list @t24 @t29 @t14))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------