%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL434-2 : TPTP v9.3.1. 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 : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:22:51 AM UTC 2026 % Result : Unsatisfiable 0.22s 0.52s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL434-2 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.38 % Computer : n019.cluster.edu % 0.11/0.38 % Model : x86_64 x86_64 % 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.38 % Memory : 8046.5625MB % 0.11/0.38 % OS : Linux 6.8.0-71-generic % 0.11/0.38 % CPULimit : 300 % 0.11/0.38 % WCLimit : 300 % 0.11/0.38 % DateTime : Sun Sep 6 01:31:38 UTC 2026 % 0.11/0.38 % CPUTime : % 0.11/0.46 %----Proving TF0_NAR, FOF, or CNF % 0.22/0.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.22/0.52 % SZS status Unsatisfiable % 0.22/0.52 % SZS output start Proof % 0.22/0.53 ( % 0.22/0.53 (declare-sort $$unsorted 0) % 0.22/0.53 (declare-const tptp.c_PropLog_Othms (-> $$unsorted $$unsorted $$unsorted)) % 0.22/0.53 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.22/0.53 (declare-const tptp.v_pa $$unsorted) % 0.22/0.53 (declare-const tptp.c_PropLog_Opl_Oop_A_N_62 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.22/0.53 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.22/0.53 (declare-const tptp.v_p $$unsorted) % 0.22/0.53 (declare-const tptp.v_H $$unsorted) % 0.22/0.53 (declare-const tptp.tc_PropLog_Opl (-> $$unsorted $$unsorted)) % 0.22/0.53 (declare-const tptp.t_a $$unsorted) % 0.22/0.53 (define @t1 () (tptp.tc_PropLog_Opl tptp.t_a)) % 0.22/0.53 (define @t2 () (tptp.c_in tptp.v_pa (tptp.c_insert tptp.v_p tptp.v_H @t1) @t1)) % 0.22/0.53 (define @t3 () (tptp.c_PropLog_Othms tptp.v_H tptp.t_a)) % 0.22/0.53 (define @t4 () (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_p tptp.v_pa tptp.t_a)) % 0.22/0.53 (define @t5 () (tptp.c_in @t4 @t3 @t1)) % 0.22/0.53 (define @t6 () (not @t5)) % 0.22/0.53 (define @t7 () (@var "T_a" $$unsorted)) % 0.22/0.53 (define @t8 () (tptp.tc_PropLog_Opl @t7)) % 0.22/0.53 (define @t9 () (@var "V_H" $$unsorted)) % 0.22/0.53 (define @t10 () (tptp.c_PropLog_Othms @t9 @t7)) % 0.22/0.53 (define @t11 () (@var "V_p" $$unsorted)) % 0.22/0.53 (define @t12 () (forall (@list @t11 @t9 @t7) (or (not (tptp.c_in @t11 @t9 @t8)) (tptp.c_in @t11 @t10 @t8)))) % 0.22/0.53 (define @t13 () (@var "V_q" $$unsorted)) % 0.22/0.53 (define @t14 () (@var "V_b" $$unsorted)) % 0.22/0.53 (define @t15 () (@var "V_a" $$unsorted)) % 0.22/0.53 (define @t16 () (@var "V_A" $$unsorted)) % 0.22/0.53 (define @t17 () (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 tptp.v_p tptp.v_p tptp.t_a) @t3 @t1)) % 0.22/0.53 (define @t18 () (not @t17)) % 0.22/0.53 (define @t19 () (= tptp.v_pa tptp.v_p)) % 0.22/0.53 (define @t20 () (not @t19)) % 0.22/0.53 (define @t21 () (and @t17 @t19 @t6)) % 0.22/0.53 (define @t22 () (@list true false)) % 0.22/0.53 (define @t23 () (tptp.c_in tptp.v_pa tptp.v_H @t1)) % 0.22/0.53 (define @t24 () (not @t2)) % 0.22/0.53 (define @t25 () (or @t24 @t23 @t19)) % 0.22/0.53 (define @t26 () (tptp.c_in tptp.v_pa @t3 @t1)) % 0.22/0.53 (define @t27 () (not @t26)) % 0.22/0.53 (define @t28 () (or @t27 @t5)) % 0.22/0.53 (define @t29 () (not @t23)) % 0.22/0.53 (define @t30 () (or @t29 @t26)) % 0.22/0.53 (define @t31 () (not @t30)) % 0.22/0.53 (assume @p1 @t2) % 0.22/0.53 (assume @p2 @t6) % 0.22/0.53 (assume @p3 @t12) % 0.22/0.53 (assume @p4 (forall (@list @t11 @t7 @t9) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 @t11 @t11 @t7) @t10 @t8))) % 0.22/0.53 (assume @p5 (forall (@list @t13 @t9 @t7 @t11) (or (not (tptp.c_in @t13 @t10 @t8)) (tptp.c_in (tptp.c_PropLog_Opl_Oop_A_N_62 @t11 @t13 @t7) @t10 @t8)))) % 0.22/0.53 (assume @p6 (forall (@list @t15 @t14 @t16 @t7) (or (not (tptp.c_in @t15 (tptp.c_insert @t14 @t16 @t7) @t7)) (tptp.c_in @t15 @t16 @t7) (= @t15 @t14)))) % 0.22/0.53 (step @p7 :rule instantiate :premises (@p6) :args ((@list tptp.v_pa tptp.v_p tptp.v_H @t1))) % 0.22/0.53 (step @p8 :rule instantiate :premises (@p4) :args ((@list tptp.v_p tptp.t_a tptp.v_H))) % 0.22/0.53 (step @p9 :rule refl :args (@t18)) % 0.22/0.53 (step @p10 :rule refl :args (@t20)) % 0.22/0.53 (step @p11 :rule bool-double-not-elim :args (@t5)) % 0.22/0.53 (step @p12 :rule nary_cong :premises (@p11 @p10 @p9) :args ((or (not @t6) @t20 @t18))) % 0.22/0.53 (assume-push @p61 @t17) % 0.22/0.53 (assume-push @p62 @t19) % 0.22/0.53 (assume-push @p63 @t6) % 0.22/0.53 (step @p16 :rule evaluate :args ((= false true))) % 0.22/0.53 (step @p17 :rule true_intro :premises (@p8)) % 0.22/0.53 (step @p18 :rule refl :args (@t1)) % 0.22/0.53 (step @p19 :rule refl :args (@t3)) % 0.22/0.53 (step @p20 :rule refl :args (tptp.t_a)) % 0.22/0.53 (step @p21 :rule refl :args (tptp.v_p)) % 0.22/0.53 (step @p22 :rule cong :premises (@p21 @p62 @p20) :args (@t4)) % 0.22/0.53 (step @p23 :rule cong :premises (@p22 @p19 @p18) :args (@t5)) % 0.22/0.53 (step @p24 :rule false_intro :premises (@p2)) % 0.22/0.53 (step @p25 :rule symm :premises (@p24)) % 0.22/0.53 (step @p26 :rule trans :premises (@p25 @p23 @p17)) % 0.22/0.53 (step @p27 false :rule eq_resolve :premises (@p26 @p16)) % 0.22/0.53 (step-pop @p64 :rule scope :premises (@p27)) % 0.22/0.53 (step-pop @p65 :rule scope :premises (@p64)) % 0.22/0.53 (step-pop @p66 :rule scope :premises (@p65)) % 0.22/0.53 (step @p28 :rule process_scope :premises (@p66) :args (false)) % 0.22/0.53 (assume-push @p67 @t6) % 0.22/0.53 (assume-push @p68 @t19) % 0.22/0.53 (assume-push @p69 @t17) % 0.22/0.53 (step @p35 :rule and_intro :premises (@p8 @p68 @p2)) % 0.22/0.53 (step-pop @p70 :rule scope :premises (@p35)) % 0.22/0.53 (step-pop @p71 :rule scope :premises (@p70)) % 0.22/0.53 (step-pop @p72 :rule scope :premises (@p71)) % 0.22/0.53 (step @p36 :rule process_scope :premises (@p72) :args (@t21)) % 0.22/0.53 (step @p40 :rule implies_elim :premises (@p36)) % 0.22/0.53 (step @p41 :rule resolution :premises (@p40 @p28) :args (true @t21)) % 0.22/0.53 (step @p42 :rule not_and :premises (@p41)) % 0.22/0.53 (step @p43 :rule eq_resolve :premises (@p42 @p12)) % 0.22/0.53 (step @p44 :rule chain_m_resolution :premises (@p43 @p2 @p8) :args (@t20 @t22 (@list @t5 @t17))) % 0.22/0.53 (step @p45 :rule cnf_or_pos :args (@t25)) % 0.22/0.53 (step @p46 :rule reordering :premises (@p45) :args ((or @t24 @t23 @t19 (not @t25)))) % 0.22/0.53 (step @p47 :rule chain_m_resolution :premises (@p46 @p1 @p44 @p7) :args (@t23 (@list false true false) (@list @t2 @t19 @t25))) % 0.22/0.53 (step @p48 :rule instantiate :premises (@p5) :args ((@list tptp.v_pa tptp.v_H tptp.t_a tptp.v_p))) % 0.22/0.53 (step @p49 :rule cnf_or_pos :args (@t28)) % 0.22/0.53 (step @p50 :rule reordering :premises (@p49) :args ((or @t5 @t27 (not @t28)))) % 0.22/0.53 (step @p51 :rule chain_m_resolution :premises (@p50 @p2 @p48) :args (@t27 @t22 (@list @t5 @t28))) % 0.22/0.53 (step @p52 :rule cnf_or_pos :args (@t30)) % 0.22/0.53 (step @p53 :rule reordering :premises (@p52) :args ((or @t26 @t29 @t31))) % 0.22/0.53 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p47) :args (@t31 @t22 (@list @t26 @t23))) % 0.22/0.53 (assume-push @p73 @t12) % 0.22/0.53 (step @p56 :rule instantiate :premises (@p3) :args ((@list tptp.v_pa tptp.v_H tptp.t_a))) % 0.22/0.53 (step-pop @p74 :rule scope :premises (@p56)) % 0.22/0.53 (step @p57 :rule process_scope :premises (@p74) :args (@t30)) % 0.22/0.53 (step @p59 :rule implies_elim :premises (@p57)) % 0.22/0.53 (step @p60 false :rule chain_m_resolution :premises (@p59 @p54 @p3) :args (false @t22 (@list @t30 @t12))) % 0.22/0.53 ) % 0.22/0.53 % SZS output end Proof % 0.22/0.53 % cvc5 exiting %------------------------------------------------------------------------------