%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT263-2 : 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 : n012.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 08:30:01 AM UTC 2026 % Result : Unsatisfiable 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : LAT263-2 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 06:07:18 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.33 %----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... % 0.15/0.36 % SZS status Unsatisfiable % 0.15/0.36 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (declare-sort $$unsorted 0) % 0.15/0.36 (declare-const tptp.c_Tarski_Odual (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.c_Tarski_OCompleteLattice $$unsorted) % 0.15/0.36 (declare-const tptp.c_Tarski_OPartialOrder $$unsorted) % 0.15/0.36 (declare-const tptp.v_A $$unsorted) % 0.15/0.36 (declare-const tptp.v_S $$unsorted) % 0.15/0.36 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.t_a $$unsorted) % 0.15/0.36 (declare-const tptp.v_cl $$unsorted) % 0.15/0.36 (declare-const tptp.tc_Tarski_Opotype_Opotype__ext__type (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.c_Tarski_Oglb (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.c_Tarski_Olub (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.tc_Product__Type_Ounit $$unsorted) % 0.15/0.36 (declare-const tptp.c_Tarski_Opotype_Opset (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (define @t1 () (tptp.tc_set tptp.t_a)) % 0.15/0.36 (define @t2 () (@var "T_a" $$unsorted)) % 0.15/0.36 (define @t3 () (@var "V_cl" $$unsorted)) % 0.15/0.36 (define @t4 () (tptp.c_Tarski_Opotype_Opset @t3 @t2 tptp.tc_Product__Type_Ounit)) % 0.15/0.36 (define @t5 () (@var "V_S" $$unsorted)) % 0.15/0.36 (define @t6 () (tptp.tc_Tarski_Opotype_Opotype__ext__type @t2 tptp.tc_Product__Type_Ounit)) % 0.15/0.36 (define @t7 () (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit)) % 0.15/0.36 (define @t8 () (tptp.c_Tarski_Odual tptp.v_cl tptp.t_a)) % 0.15/0.36 (define @t9 () (tptp.c_in @t8 tptp.c_Tarski_OCompleteLattice @t7)) % 0.15/0.36 (define @t10 () (tptp.c_in @t8 tptp.c_Tarski_OPartialOrder @t7)) % 0.15/0.36 (define @t11 () (tptp.c_Tarski_Odual @t3 @t2)) % 0.15/0.36 (define @t12 () (tptp.c_Tarski_Opotype_Opset @t11 @t2 tptp.tc_Product__Type_Ounit)) % 0.15/0.36 (define @t13 () (forall (@list @t3 @t2) (= @t12 @t4))) % 0.15/0.36 (define @t14 () (tptp.c_Tarski_Opotype_Opset @t8 tptp.t_a tptp.tc_Product__Type_Ounit)) % 0.15/0.36 (define @t15 () (tptp.c_in (tptp.c_Tarski_Olub tptp.v_S @t8 tptp.t_a) @t14 tptp.t_a)) % 0.15/0.36 (define @t16 () (tptp.c_lessequals tptp.v_S @t14 @t1)) % 0.15/0.36 (define @t17 () (not @t16)) % 0.15/0.36 (define @t18 () (not @t10)) % 0.15/0.36 (define @t19 () (not @t9)) % 0.15/0.36 (define @t20 () (or @t19 @t18 @t17 @t15)) % 0.15/0.36 (assume @p1 (tptp.c_lessequals tptp.v_S tptp.v_A @t1)) % 0.15/0.36 (assume @p2 (not (tptp.c_in (tptp.c_Tarski_Oglb tptp.v_S tptp.v_cl tptp.t_a) tptp.v_A tptp.t_a))) % 0.15/0.36 (assume @p3 (= tptp.v_A (tptp.c_Tarski_Opotype_Opset tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) % 0.15/0.36 (assume @p4 (forall (@list @t3 @t2 @t5) (or (not (tptp.c_in @t3 tptp.c_Tarski_OCompleteLattice @t6)) (not (tptp.c_in @t3 tptp.c_Tarski_OPartialOrder @t6)) (not (tptp.c_lessequals @t5 @t4 (tptp.tc_set @t2))) (tptp.c_in (tptp.c_Tarski_Olub @t5 @t3 @t2) @t4 @t2)))) % 0.15/0.36 (assume @p5 @t9) % 0.15/0.36 (assume @p6 @t10) % 0.15/0.36 (assume @p7 (forall (@list @t5 @t3 @t2) (= (tptp.c_Tarski_Oglb @t5 @t3 @t2) (tptp.c_Tarski_Olub @t5 @t11 @t2)))) % 0.15/0.36 (assume @p8 @t13) % 0.15/0.36 (step @p9 :rule instantiate :premises (@p4) :args ((@list @t8 tptp.t_a tptp.v_S))) % 0.15/0.36 (step @p10 :rule false_intro :premises (@p2)) % 0.15/0.36 (step @p11 :rule refl :args (tptp.t_a)) % 0.15/0.36 (step @p12 :rule symm :premises (@p3)) % 0.15/0.36 (step @p13 :rule eq-symm :args (@t12 @t4)) % 0.15/0.36 (step @p14 :rule cong :premises (@p13) :args (@t13)) % 0.15/0.36 (step @p15 :rule eq_resolve :premises (@p8 @p14)) % 0.15/0.36 (step @p16 :rule instantiate :premises (@p15) :args ((@list tptp.v_cl tptp.t_a))) % 0.15/0.36 (step @p17 :rule symm :premises (@p16)) % 0.15/0.36 (step @p18 :rule trans :premises (@p17 @p12)) % 0.15/0.36 (step @p19 :rule instantiate :premises (@p7) :args ((@list tptp.v_S tptp.v_cl tptp.t_a))) % 0.15/0.36 (step @p20 :rule symm :premises (@p19)) % 0.15/0.36 (step @p21 :rule cong :premises (@p20 @p18 @p11) :args (@t15)) % 0.15/0.36 (step @p22 :rule trans :premises (@p21 @p10)) % 0.15/0.36 (step @p23 :rule false_elim :premises (@p22)) % 0.15/0.36 (step @p24 :rule true_intro :premises (@p1)) % 0.15/0.36 (step @p25 :rule refl :args (@t1)) % 0.15/0.36 (step @p26 :rule refl :args (tptp.v_S)) % 0.15/0.36 (step @p27 :rule cong :premises (@p26 @p18 @p25) :args (@t16)) % 0.15/0.36 (step @p28 :rule trans :premises (@p27 @p24)) % 0.15/0.36 (step @p29 :rule true_elim :premises (@p28)) % 0.15/0.36 (step @p30 :rule cnf_or_pos :args (@t20)) % 0.15/0.36 (step @p31 :rule reordering :premises (@p30) :args ((or @t19 @t18 @t17 @t15 (not @t20)))) % 0.15/0.36 (step @p32 false :rule chain_m_resolution :premises (@p31 @p29 @p23 @p9 @p6 @p5) :args (false (@list false true false false false) (@list @t16 @t15 @t20 @t10 @t9))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------