%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT281-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:30:06 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 : LAT281-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 06:07:59 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 $$unsorted 0) % 0.30/0.55 (declare-const tptp.v_cl $$unsorted) % 0.30/0.55 (declare-const tptp.t_a $$unsorted) % 0.30/0.55 (declare-const tptp.v_b $$unsorted) % 0.30/0.55 (declare-const tptp.c_Relation_Otrans (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.v_a $$unsorted) % 0.30/0.55 (declare-const tptp.c_Pair (-> $$unsorted $$unsorted $$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_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.v_r $$unsorted) % 0.30/0.55 (declare-const tptp.c_Tarski_OPartialOrder $$unsorted) % 0.30/0.55 (declare-const tptp.v_c $$unsorted) % 0.30/0.55 (declare-const tptp.tc_Product__Type_Ounit $$unsorted) % 0.30/0.55 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.tc_Tarski_Opotype_Opotype__ext__type (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (define @t1 () (tptp.tc_prod tptp.t_a tptp.t_a)) % 0.30/0.55 (define @t2 () (tptp.c_Pair tptp.v_a tptp.v_b tptp.t_a tptp.t_a)) % 0.30/0.55 (define @t3 () (tptp.c_Pair tptp.v_b tptp.v_c tptp.t_a tptp.t_a)) % 0.30/0.55 (define @t4 () (tptp.c_Pair tptp.v_a tptp.v_c tptp.t_a tptp.t_a)) % 0.30/0.55 (define @t5 () (@var "T_a" $$unsorted)) % 0.30/0.55 (define @t6 () (tptp.tc_prod @t5 @t5)) % 0.30/0.55 (define @t7 () (@var "V_r" $$unsorted)) % 0.30/0.55 (define @t8 () (@var "V_W" $$unsorted)) % 0.30/0.55 (define @t9 () (@var "V_U" $$unsorted)) % 0.30/0.55 (define @t10 () (@var "V_V" $$unsorted)) % 0.30/0.55 (define @t11 () (forall (@list @t7 @t5 @t10 @t8 @t9) (or (not (tptp.c_Relation_Otrans @t7 @t5)) (not (tptp.c_in (tptp.c_Pair @t10 @t8 @t5 @t5) @t7 @t6)) (not (tptp.c_in (tptp.c_Pair @t9 @t10 @t5 @t5) @t7 @t6)) (tptp.c_in (tptp.c_Pair @t9 @t8 @t5 @t5) @t7 @t6)))) % 0.30/0.55 (define @t12 () (@var "V_P" $$unsorted)) % 0.30/0.55 (define @t13 () (tptp.c_in tptp.v_cl tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit))) % 0.30/0.55 (define @t14 () (tptp.c_Tarski_Opotype_Oorder tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit)) % 0.30/0.55 (define @t15 () (tptp.c_in @t4 @t14 @t1)) % 0.30/0.55 (define @t16 () (tptp.c_in @t2 @t14 @t1)) % 0.30/0.55 (define @t17 () (tptp.c_in @t3 @t14 @t1)) % 0.30/0.55 (define @t18 () (tptp.c_Relation_Otrans @t14 tptp.t_a)) % 0.30/0.55 (define @t19 () (not @t13)) % 0.30/0.55 (define @t20 () (or @t19 @t18)) % 0.30/0.55 (define @t21 () (not @t16)) % 0.30/0.55 (define @t22 () (not @t17)) % 0.30/0.55 (define @t23 () (not @t18)) % 0.30/0.55 (define @t24 () (or @t23 @t22 @t21 @t15)) % 0.30/0.55 (define @t25 () (not @t24)) % 0.30/0.55 (assume @p1 (tptp.c_in @t2 tptp.v_r @t1)) % 0.30/0.55 (assume @p2 (tptp.c_in @t3 tptp.v_r @t1)) % 0.30/0.55 (assume @p3 (not (tptp.c_in @t4 tptp.v_r @t1))) % 0.30/0.55 (assume @p4 @t11) % 0.30/0.55 (assume @p5 (forall (@list @t12 @t5) (or (not (tptp.c_in @t12 tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type @t5 tptp.tc_Product__Type_Ounit))) (tptp.c_Relation_Otrans (tptp.c_Tarski_Opotype_Oorder @t12 @t5 tptp.tc_Product__Type_Ounit) @t5)))) % 0.30/0.55 (assume @p6 @t13) % 0.30/0.55 (assume @p7 (= tptp.v_r @t14)) % 0.30/0.55 (step @p8 :rule false_intro :premises (@p3)) % 0.30/0.55 (step @p9 :rule refl :args (@t1)) % 0.30/0.55 (step @p10 :rule symm :premises (@p7)) % 0.30/0.55 (step @p11 :rule refl :args (@t4)) % 0.30/0.55 (step @p12 :rule cong :premises (@p11 @p10 @p9) :args (@t15)) % 0.30/0.55 (step @p13 :rule trans :premises (@p12 @p8)) % 0.30/0.55 (step @p14 :rule false_elim :premises (@p13)) % 0.30/0.55 (step @p15 :rule true_intro :premises (@p1)) % 0.30/0.55 (step @p16 :rule refl :args (@t2)) % 0.30/0.55 (step @p17 :rule cong :premises (@p16 @p10 @p9) :args (@t16)) % 0.30/0.55 (step @p18 :rule trans :premises (@p17 @p15)) % 0.30/0.55 (step @p19 :rule true_elim :premises (@p18)) % 0.30/0.55 (step @p20 :rule true_intro :premises (@p2)) % 0.30/0.55 (step @p21 :rule refl :args (@t3)) % 0.30/0.55 (step @p22 :rule cong :premises (@p21 @p10 @p9) :args (@t17)) % 0.30/0.55 (step @p23 :rule trans :premises (@p22 @p20)) % 0.30/0.55 (step @p24 :rule true_elim :premises (@p23)) % 0.30/0.55 (step @p25 :rule instantiate :premises (@p5) :args ((@list tptp.v_cl tptp.t_a))) % 0.30/0.55 (step @p26 :rule cnf_or_pos :args (@t20)) % 0.30/0.55 (step @p27 :rule reordering :premises (@p26) :args ((or @t19 @t18 (not @t20)))) % 0.30/0.55 (step @p28 :rule chain_m_resolution :premises (@p27 @p6 @p25) :args (@t18 (@list false false) (@list @t13 @t20))) % 0.30/0.55 (step @p29 :rule cnf_or_pos :args (@t24)) % 0.30/0.55 (step @p30 :rule reordering :premises (@p29) :args ((or @t23 @t22 @t21 @t15 @t25))) % 0.30/0.55 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p24 @p19 @p14) :args (@t25 (@list false false false true) (@list @t18 @t17 @t16 @t15))) % 0.30/0.55 (assume-push @p38 @t11) % 0.30/0.55 (step @p33 :rule instantiate :premises (@p4) :args ((@list @t14 tptp.t_a tptp.v_b tptp.v_c tptp.v_a))) % 0.30/0.55 (step-pop @p39 :rule scope :premises (@p33)) % 0.30/0.55 (step @p34 :rule process_scope :premises (@p39) :args (@t24)) % 0.30/0.55 (step @p36 :rule implies_elim :premises (@p34)) % 0.30/0.55 (step @p37 false :rule chain_m_resolution :premises (@p36 @p31 @p4) :args (false (@list true false) (@list @t24 @t11))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------