%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET846-2 : 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 : n026.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 08:48:49 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 : SET846-2 : 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 % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:15:10 EDT 2026 % 0.16/0.34 % 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 $$unsorted 0) % 0.30/0.55 (declare-const tptp.v_S $$unsorted) % 0.30/0.55 (declare-const tptp.c_Zorn_OTFin (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.c_Zorn_Osucc (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.c_Union (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.t_a $$unsorted) % 0.30/0.55 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.30/0.55 (define @t1 () (@var "T_a" $$unsorted)) % 0.30/0.55 (define @t2 () (tptp.tc_set @t1)) % 0.30/0.55 (define @t3 () (@var "V_A" $$unsorted)) % 0.30/0.55 (define @t4 () (@var "V_B" $$unsorted)) % 0.30/0.55 (define @t5 () (forall (@list @t3 @t1) (tptp.c_lessequals @t3 @t3 @t2))) % 0.30/0.55 (define @t6 () (tptp.tc_set @t2)) % 0.30/0.55 (define @t7 () (@var "V_S" $$unsorted)) % 0.30/0.55 (define @t8 () (tptp.c_Zorn_OTFin @t7 @t1)) % 0.30/0.55 (define @t9 () (@var "V_x" $$unsorted)) % 0.30/0.55 (define @t10 () (@var "V_Y" $$unsorted)) % 0.30/0.55 (define @t11 () (tptp.tc_set tptp.t_a)) % 0.30/0.55 (define @t12 () (tptp.tc_set @t11)) % 0.30/0.55 (define @t13 () (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a)) % 0.30/0.55 (define @t14 () (tptp.c_Union @t13 @t11)) % 0.30/0.55 (define @t15 () (tptp.c_Zorn_Osucc tptp.v_S @t14 tptp.t_a)) % 0.30/0.55 (define @t16 () (tptp.c_lessequals @t15 @t14 @t12)) % 0.30/0.55 (define @t17 () (tptp.c_in @t15 @t13 @t12)) % 0.30/0.55 (define @t18 () (not @t17)) % 0.30/0.55 (define @t19 () (or @t18 @t16)) % 0.30/0.55 (define @t20 () (@list true false)) % 0.30/0.55 (define @t21 () (tptp.c_in @t14 @t13 @t12)) % 0.30/0.55 (define @t22 () (not @t21)) % 0.30/0.55 (define @t23 () (or @t22 @t17)) % 0.30/0.55 (define @t24 () (tptp.c_lessequals @t13 @t13 (tptp.tc_set @t12))) % 0.30/0.55 (define @t25 () (not @t24)) % 0.30/0.55 (define @t26 () (or @t25 @t21)) % 0.30/0.55 (assume @p1 (forall (@list @t4 @t3 @t1) (or (not (tptp.c_in @t4 @t3 @t2)) (tptp.c_lessequals @t4 (tptp.c_Union @t3 @t1) @t2)))) % 0.30/0.55 (assume @p2 @t5) % 0.30/0.55 (assume @p3 (forall (@list @t9 @t7 @t1) (or (not (tptp.c_in @t9 @t8 @t6)) (tptp.c_in (tptp.c_Zorn_Osucc @t7 @t9 @t1) @t8 @t6)))) % 0.30/0.55 (assume @p4 (forall (@list @t10 @t7 @t1) (or (not (tptp.c_lessequals @t10 @t8 (tptp.tc_set @t6))) (tptp.c_in (tptp.c_Union @t10 @t2) @t8 @t6)))) % 0.30/0.55 (assume @p5 (not @t16)) % 0.30/0.55 (step @p6 :rule instantiate :premises (@p4) :args ((@list @t13 tptp.v_S tptp.t_a))) % 0.30/0.55 (step @p7 :rule instantiate :premises (@p3) :args ((@list @t14 tptp.v_S tptp.t_a))) % 0.30/0.55 (step @p8 :rule instantiate :premises (@p1) :args ((@list @t15 @t13 @t11))) % 0.30/0.55 (step @p9 :rule cnf_or_pos :args (@t19)) % 0.30/0.55 (step @p10 :rule reordering :premises (@p9) :args ((or @t16 @t18 (not @t19)))) % 0.30/0.55 (step @p11 :rule chain_m_resolution :premises (@p10 @p5 @p8) :args (@t18 @t20 (@list @t16 @t19))) % 0.30/0.55 (step @p12 :rule cnf_or_pos :args (@t23)) % 0.30/0.55 (step @p13 :rule reordering :premises (@p12) :args ((or @t17 @t22 (not @t23)))) % 0.30/0.55 (step @p14 :rule chain_m_resolution :premises (@p13 @p11 @p7) :args (@t22 @t20 (@list @t17 @t23))) % 0.30/0.55 (step @p15 :rule cnf_or_pos :args (@t26)) % 0.30/0.55 (step @p16 :rule reordering :premises (@p15) :args ((or @t21 @t25 (not @t26)))) % 0.30/0.55 (step @p17 :rule chain_m_resolution :premises (@p16 @p14 @p6) :args (@t25 @t20 (@list @t21 @t26))) % 0.30/0.55 (assume-push @p24 @t5) % 0.30/0.55 (step @p19 :rule instantiate :premises (@p2) :args ((@list @t13 @t12))) % 0.30/0.55 (step-pop @p25 :rule scope :premises (@p19)) % 0.30/0.55 (step @p20 :rule process_scope :premises (@p25) :args (@t24)) % 0.30/0.55 (step @p22 :rule implies_elim :premises (@p20)) % 0.30/0.55 (step @p23 false :rule chain_m_resolution :premises (@p22 @p17 @p2) :args (false @t20 (@list @t24 @t5))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------