%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET864-2 : 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 : n011.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 08:48:53 AM UTC 2026 % Result : Unsatisfiable 0.28s 0.55s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET864-2 : 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 % 0.17/0.35 % Computer : n011.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:16:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.28/0.55 % SZS status Unsatisfiable % 0.28/0.55 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.v_x (-> $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.v_c $$unsorted) % 0.39/0.56 (declare-const tptp.v_S $$unsorted) % 0.39/0.56 (declare-const tptp.t_a $$unsorted) % 0.39/0.56 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.c_Zorn_Omaxchain (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.c_Union (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (define @t1 () (@var "V_u" $$unsorted)) % 0.39/0.56 (define @t2 () (@var "T_a" $$unsorted)) % 0.39/0.56 (define @t3 () (@var "V_c" $$unsorted)) % 0.39/0.56 (define @t4 () (tptp.c_Union @t3 @t2)) % 0.39/0.56 (define @t5 () (tptp.tc_set @t2)) % 0.39/0.56 (define @t6 () (not (tptp.c_lessequals @t4 @t1 @t5))) % 0.39/0.56 (define @t7 () (@var "V_S" $$unsorted)) % 0.39/0.56 (define @t8 () (not (tptp.c_in @t3 (tptp.c_Zorn_Omaxchain @t7 @t2) (tptp.tc_set @t5)))) % 0.39/0.56 (define @t9 () (not (tptp.c_in @t1 @t7 @t5))) % 0.39/0.56 (define @t10 () (or @t9 @t8 @t6 (= @t4 @t1))) % 0.39/0.56 (define @t11 () (@list @t1 @t7 @t2 @t3)) % 0.39/0.56 (define @t12 () (forall @t11 @t10)) % 0.39/0.56 (define @t13 () (tptp.tc_set tptp.t_a)) % 0.39/0.56 (define @t14 () (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set @t13))) % 0.39/0.56 (define @t15 () (tptp.c_Union tptp.v_c tptp.t_a)) % 0.39/0.56 (define @t16 () (tptp.c_in @t15 tptp.v_S @t13)) % 0.39/0.56 (define @t17 () (@var "V_U" $$unsorted)) % 0.39/0.56 (define @t18 () (not (tptp.c_in @t17 tptp.v_S @t13))) % 0.39/0.56 (define @t19 () (tptp.v_x @t17)) % 0.39/0.56 (define @t20 () (@list @t17)) % 0.39/0.56 (define @t21 () (@list @t15)) % 0.39/0.56 (define @t22 () (not @t16)) % 0.39/0.56 (define @t23 () (tptp.v_x @t15)) % 0.39/0.56 (define @t24 () (tptp.c_in @t23 tptp.v_S @t13)) % 0.39/0.56 (define @t25 () (or @t24 @t22)) % 0.39/0.56 (define @t26 () (@list false false)) % 0.39/0.56 (define @t27 () (tptp.c_lessequals @t15 @t23 @t13)) % 0.39/0.56 (define @t28 () (or @t27 @t22)) % 0.39/0.56 (define @t29 () (= @t15 @t23)) % 0.39/0.56 (define @t30 () (not @t29)) % 0.39/0.56 (define @t31 () (or @t30 @t22)) % 0.39/0.56 (define @t32 () (not @t27)) % 0.39/0.56 (define @t33 () (not @t14)) % 0.39/0.56 (define @t34 () (not @t24)) % 0.39/0.56 (define @t35 () (or @t34 @t33 @t32 @t29)) % 0.39/0.56 (define @t36 () (not @t35)) % 0.39/0.56 (define @t37 () (or @t34 @t33 @t32 (= @t23 @t15))) % 0.39/0.56 (define @t38 () (forall @t11 (or @t9 @t8 @t6 (= @t1 @t4)))) % 0.39/0.56 (assume @p1 @t12) % 0.39/0.56 (assume @p2 @t14) % 0.39/0.56 (assume @p3 @t16) % 0.39/0.56 (assume @p4 (forall @t20 (or (tptp.c_in @t19 tptp.v_S @t13) @t18))) % 0.39/0.56 (assume @p5 (forall @t20 (or (tptp.c_lessequals @t17 @t19 @t13) @t18))) % 0.39/0.56 (assume @p6 (forall @t20 (or (not (= @t17 @t19)) @t18))) % 0.39/0.56 (step @p7 :rule eq-symm :args (@t4 @t1)) % 0.39/0.56 (step @p8 :rule refl :args (@t6)) % 0.39/0.56 (step @p9 :rule refl :args (@t8)) % 0.39/0.56 (step @p10 :rule refl :args (@t9)) % 0.39/0.56 (step @p11 :rule nary_cong :premises (@p10 @p9 @p8 @p7) :args (@t10)) % 0.39/0.56 (step @p12 :rule cong :premises (@p11) :args (@t12)) % 0.39/0.56 (step @p13 :rule eq_resolve :premises (@p1 @p12)) % 0.39/0.56 (step @p14 :rule instantiate :premises (@p4) :args (@t21)) % 0.39/0.56 (step @p15 :rule cnf_or_pos :args (@t25)) % 0.39/0.56 (step @p16 :rule reordering :premises (@p15) :args ((or @t22 @t24 (not @t25)))) % 0.39/0.56 (step @p17 :rule chain_m_resolution :premises (@p16 @p3 @p14) :args (@t24 @t26 (@list @t16 @t25))) % 0.39/0.56 (step @p18 :rule instantiate :premises (@p5) :args (@t21)) % 0.39/0.56 (step @p19 :rule cnf_or_pos :args (@t28)) % 0.39/0.56 (step @p20 :rule reordering :premises (@p19) :args ((or @t22 @t27 (not @t28)))) % 0.39/0.56 (step @p21 :rule chain_m_resolution :premises (@p20 @p3 @p18) :args (@t27 @t26 (@list @t16 @t28))) % 0.39/0.56 (step @p22 :rule instantiate :premises (@p6) :args (@t21)) % 0.39/0.56 (step @p23 :rule cnf_or_pos :args (@t31)) % 0.39/0.56 (step @p24 :rule reordering :premises (@p23) :args ((or @t22 @t30 (not @t31)))) % 0.39/0.56 (step @p25 :rule chain_m_resolution :premises (@p24 @p3 @p22) :args (@t30 @t26 (@list @t16 @t31))) % 0.39/0.56 (step @p26 :rule cnf_or_pos :args (@t35)) % 0.39/0.56 (step @p27 :rule reordering :premises (@p26) :args ((or @t33 @t29 @t32 @t34 @t36))) % 0.39/0.56 (step @p28 :rule chain_m_resolution :premises (@p27 @p2 @p25 @p21 @p17) :args (@t36 (@list false true false false) (@list @t14 @t29 @t27 @t24))) % 0.39/0.56 (step @p29 :rule eq-symm :args (@t23 @t15)) % 0.39/0.56 (step @p30 :rule refl :args (@t32)) % 0.39/0.56 (step @p31 :rule refl :args (@t33)) % 0.39/0.56 (step @p32 :rule refl :args (@t34)) % 0.39/0.56 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30 @p29) :args (@t37)) % 0.39/0.56 (step @p34 :rule refl :args (@t38)) % 0.39/0.56 (step @p35 :rule cong :premises (@p34 @p33) :args ((=> @t38 @t37))) % 0.39/0.56 (assume-push @p43 @t38) % 0.39/0.56 (step @p37 :rule instantiate :premises (@p13) :args ((@list @t23 tptp.v_S tptp.t_a tptp.v_c))) % 0.39/0.56 (step-pop @p44 :rule scope :premises (@p37)) % 0.39/0.56 (step @p38 :rule process_scope :premises (@p44) :args (@t37)) % 0.39/0.56 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 0.39/0.56 (step @p41 :rule implies_elim :premises (@p40)) % 0.39/0.56 (step @p42 false :rule chain_m_resolution :premises (@p41 @p28 @p13) :args (false (@list true false) (@list @t35 @t38))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------