%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL430-2 : TPTP v9.3.1. 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 : n015.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 11:22:50 AM UTC 2026 % Result : Unsatisfiable 0.19s 0.51s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL430-2 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n015.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Fri Sep 4 19:44:56 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.44 %----Proving TF0_NAR, FOF, or CNF % 0.10/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.19/0.51 % SZS status Unsatisfiable % 0.19/0.51 % SZS output start Proof % 0.19/0.51 ( % 0.19/0.51 (declare-sort $$unsorted 0) % 0.19/0.51 (declare-const tptp.v_t $$unsorted) % 0.19/0.51 (declare-const tptp.v_v $$unsorted) % 0.19/0.51 (declare-const tptp.tc_PropLog_Opl (-> $$unsorted $$unsorted)) % 0.19/0.51 (declare-const tptp.c_PropLog_Opl_Ofalse $$unsorted) % 0.19/0.51 (declare-const tptp.v_p $$unsorted) % 0.19/0.51 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.19/0.51 (declare-const tptp.c_PropLog_Opl_Oop_A_N_62 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.19/0.51 (declare-const tptp.v_F $$unsorted) % 0.19/0.51 (declare-const tptp.c_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.19/0.51 (declare-const tptp.c_PropLog_Othms (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.51 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.51 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.19/0.51 (declare-const tptp.c_emptyset $$unsorted) % 0.19/0.51 (declare-const tptp.c_PropLog_Opl_Ovar (-> $$unsorted $$unsorted $$unsorted)) % 0.19/0.51 (declare-const tptp.t_a $$unsorted) % 0.19/0.51 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.19/0.51 (declare-const tptp.c_PropLog_Ohyps (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.19/0.51 (define @t1 () (@var "T_a" $$unsorted)) % 0.19/0.51 (define @t2 () (tptp.tc_PropLog_Opl @t1)) % 0.19/0.51 (define @t3 () (tptp.tc_set @t2)) % 0.19/0.51 (define @t4 () (@var "V_B" $$unsorted)) % 0.19/0.51 (define @t5 () (@var "V_C" $$unsorted)) % 0.19/0.51 (define @t6 () (@var "V_p" $$unsorted)) % 0.19/0.51 (define @t7 () (@var "V_A" $$unsorted)) % 0.19/0.51 (define @t8 () (@var "V_v" $$unsorted)) % 0.19/0.51 (define @t9 () (tptp.c_PropLog_Opl_Ovar @t8 @t1)) % 0.19/0.51 (define @t10 () (@var "V_t" $$unsorted)) % 0.19/0.51 (define @t11 () (tptp.tc_set @t1)) % 0.19/0.51 (define @t12 () (@var "V_a" $$unsorted)) % 0.19/0.51 (define @t13 () (@var "V_D" $$unsorted)) % 0.19/0.51 (define @t14 () (@var "V_c" $$unsorted)) % 0.19/0.51 (define @t15 () (@var "V_H" $$unsorted)) % 0.19/0.51 (define @t16 () (tptp.c_PropLog_Othms @t15 @t1)) % 0.19/0.51 (define @t17 () (@var "V_q" $$unsorted)) % 0.19/0.51 (define @t18 () (@var "V_G" $$unsorted)) % 0.19/0.51 (define @t19 () (forall (@list @t6 @t18 @t1 @t15) (or (not (tptp.c_in @t6 (tptp.c_PropLog_Othms @t18 @t1) @t2)) (not (tptp.c_lessequals @t18 @t15 @t3)) (tptp.c_in @t6 @t16 @t2)))) % 0.19/0.51 (define @t20 () (tptp.tc_PropLog_Opl tptp.t_a)) % 0.19/0.51 (define @t21 () (tptp.tc_set @t20)) % 0.19/0.51 (define @t22 () (@var "V_U" $$unsorted)) % 0.19/0.51 (define @t23 () (tptp.c_PropLog_Opl_Ovar tptp.v_v tptp.t_a)) % 0.19/0.51 (define @t24 () (tptp.c_PropLog_Opl_Oop_A_N_62 @t23 tptp.c_PropLog_Opl_Ofalse tptp.t_a)) % 0.19/0.51 (define @t25 () (tptp.c_PropLog_Ohyps tptp.v_p tptp.v_t tptp.t_a)) % 0.19/0.51 (define @t26 () (tptp.c_minus @t25 (tptp.c_insert @t24 tptp.v_F @t20) @t21)) % 0.19/0.51 (define @t27 () (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms @t26 tptp.t_a) @t20)) % 0.19/0.51 (define @t28 () (tptp.c_insert @t23 (tptp.c_minus @t25 (tptp.c_insert @t24 tptp.c_emptyset @t20) @t21) @t20)) % 0.19/0.51 (define @t29 () (tptp.c_insert tptp.v_v tptp.v_t tptp.t_a)) % 0.19/0.51 (define @t30 () (tptp.c_PropLog_Ohyps tptp.v_p @t29 tptp.t_a)) % 0.19/0.51 (define @t31 () (tptp.c_minus @t28 tptp.v_F @t21)) % 0.19/0.51 (define @t32 () (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms @t31 tptp.t_a) @t20)) % 0.19/0.51 (define @t33 () (tptp.c_lessequals @t30 @t28 @t21)) % 0.19/0.51 (define @t34 () (not @t33)) % 0.19/0.51 (define @t35 () (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus @t30 tptp.v_F @t21) tptp.t_a) @t20)) % 0.19/0.51 (define @t36 () (not @t35)) % 0.19/0.51 (define @t37 () (or @t36 @t34 @t32)) % 0.19/0.51 (define @t38 () (@list false false false)) % 0.19/0.51 (define @t39 () (tptp.c_insert @t24 @t26 @t20)) % 0.19/0.51 (define @t40 () (tptp.c_minus @t25 tptp.v_F @t21)) % 0.19/0.51 (define @t41 () (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms @t39 tptp.t_a) @t20)) % 0.19/0.51 (define @t42 () (tptp.c_lessequals @t40 @t39 @t21)) % 0.19/0.51 (define @t43 () (not @t42)) % 0.19/0.51 (define @t44 () (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms @t40 tptp.t_a) @t20)) % 0.19/0.51 (define @t45 () (not @t44)) % 0.19/0.51 (define @t46 () (or @t45 @t43 @t41)) % 0.19/0.51 (define @t47 () (not @t41)) % 0.19/0.51 (define @t48 () (tptp.c_insert @t23 @t26 @t20)) % 0.19/0.51 (define @t49 () (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms @t48 tptp.t_a) @t20)) % 0.19/0.51 (define @t50 () (not @t49)) % 0.19/0.51 (define @t51 () (or @t50 @t47 @t27)) % 0.19/0.51 (define @t52 () (@list true false false)) % 0.19/0.51 (define @t53 () (tptp.c_lessequals @t31 @t48 @t21)) % 0.19/0.51 (define @t54 () (not @t53)) % 0.19/0.51 (define @t55 () (not @t32)) % 0.19/0.51 (define @t56 () (or @t55 @t54 @t49)) % 0.19/0.51 (define @t57 () (not @t56)) % 0.19/0.51 (assume @p1 (forall (@list @t6 @t7 @t4 @t1 @t5) (or (not (tptp.c_in @t6 (tptp.c_PropLog_Othms (tptp.c_minus @t7 @t4 @t3) @t1) @t2)) (not (tptp.c_lessequals @t7 @t5 @t3)) (tptp.c_in @t6 (tptp.c_PropLog_Othms (tptp.c_minus @t5 @t4 @t3) @t1) @t2)))) % 0.19/0.51 (assume @p2 (forall (@list @t6 @t8 @t10 @t1) (tptp.c_lessequals (tptp.c_PropLog_Ohyps @t6 (tptp.c_insert @t8 @t10 @t1) @t1) (tptp.c_insert @t9 (tptp.c_minus (tptp.c_PropLog_Ohyps @t6 @t10 @t1) (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 @t9 tptp.c_PropLog_Opl_Ofalse @t1) tptp.c_emptyset @t2) @t3) @t2) @t3))) % 0.19/0.51 (assume @p3 (forall (@list @t4 @t5 @t1 @t12) (tptp.c_lessequals (tptp.c_minus @t4 @t5 @t11) (tptp.c_insert @t12 (tptp.c_minus @t4 (tptp.c_insert @t12 @t5 @t1) @t11) @t1) @t11))) % 0.19/0.51 (assume @p4 (forall (@list @t12 @t4 @t14 @t1 @t13) (tptp.c_lessequals (tptp.c_minus (tptp.c_insert @t12 (tptp.c_minus @t4 (tptp.c_insert @t14 tptp.c_emptyset @t1) @t11) @t1) @t13 @t11) (tptp.c_insert @t12 (tptp.c_minus @t4 (tptp.c_insert @t14 @t13 @t1) @t11) @t1) @t11))) % 0.19/0.51 (assume @p5 (forall (@list @t17 @t6 @t15 @t1) (or (not (tptp.c_in @t17 (tptp.c_PropLog_Othms (tptp.c_insert @t6 @t15 @t2) @t1) @t2)) (not (tptp.c_in @t17 (tptp.c_PropLog_Othms (tptp.c_insert (tptp.c_PropLog_Opl_Oop_A_N_62 @t6 tptp.c_PropLog_Opl_Ofalse @t1) @t15 @t2) @t1) @t2)) (tptp.c_in @t17 @t16 @t2)))) % 0.19/0.51 (assume @p6 @t19) % 0.19/0.51 (assume @p7 (forall (@list @t22) (tptp.c_in tptp.v_p (tptp.c_PropLog_Othms (tptp.c_minus (tptp.c_PropLog_Ohyps tptp.v_p @t22 tptp.t_a) tptp.v_F @t21) tptp.t_a) @t20))) % 0.19/0.51 (assume @p8 (not @t27)) % 0.19/0.51 (step @p9 :rule instantiate :premises (@p1) :args ((@list tptp.v_p @t30 tptp.v_F tptp.t_a @t28))) % 0.19/0.51 (step @p10 :rule instantiate :premises (@p7) :args ((@list @t29))) % 0.19/0.51 (step @p11 :rule instantiate :premises (@p2) :args ((@list tptp.v_p tptp.v_v tptp.v_t tptp.t_a))) % 0.19/0.51 (step @p12 :rule cnf_or_pos :args (@t37)) % 0.19/0.51 (step @p13 :rule reordering :premises (@p12) :args ((or @t34 @t36 @t32 (not @t37)))) % 0.19/0.51 (step @p14 :rule chain_m_resolution :premises (@p13 @p11 @p10 @p9) :args (@t32 @t38 (@list @t33 @t35 @t37))) % 0.19/0.51 (step @p15 :rule instantiate :premises (@p4) :args ((@list @t23 @t25 @t24 @t20 tptp.v_F))) % 0.19/0.51 (step @p16 :rule instantiate :premises (@p5) :args ((@list tptp.v_p @t23 @t26 tptp.t_a))) % 0.19/0.52 (step @p17 :rule instantiate :premises (@p6) :args ((@list tptp.v_p @t40 tptp.t_a @t39))) % 0.19/0.52 (step @p18 :rule instantiate :premises (@p7) :args ((@list tptp.v_t))) % 0.19/0.52 (step @p19 :rule instantiate :premises (@p3) :args ((@list @t25 tptp.v_F @t20 @t24))) % 0.19/0.52 (step @p20 :rule cnf_or_pos :args (@t46)) % 0.19/0.52 (step @p21 :rule reordering :premises (@p20) :args ((or @t43 @t45 @t41 (not @t46)))) % 0.19/0.52 (step @p22 :rule chain_m_resolution :premises (@p21 @p19 @p18 @p17) :args (@t41 @t38 (@list @t42 @t44 @t46))) % 0.19/0.52 (step @p23 :rule cnf_or_pos :args (@t51)) % 0.19/0.52 (step @p24 :rule reordering :premises (@p23) :args ((or @t27 @t47 @t50 (not @t51)))) % 0.19/0.52 (step @p25 :rule chain_m_resolution :premises (@p24 @p8 @p22 @p16) :args (@t50 @t52 (@list @t27 @t41 @t51))) % 0.19/0.52 (step @p26 :rule cnf_or_pos :args (@t56)) % 0.19/0.52 (step @p27 :rule reordering :premises (@p26) :args ((or @t49 @t54 @t55 @t57))) % 0.19/0.52 (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p15 @p14) :args (@t57 @t52 (@list @t49 @t53 @t32))) % 0.19/0.52 (assume-push @p35 @t19) % 0.19/0.52 (step @p30 :rule instantiate :premises (@p6) :args ((@list tptp.v_p @t31 tptp.t_a @t48))) % 0.19/0.52 (step-pop @p36 :rule scope :premises (@p30)) % 0.19/0.52 (step @p31 :rule process_scope :premises (@p36) :args (@t56)) % 0.19/0.52 (step @p33 :rule implies_elim :premises (@p31)) % 0.19/0.52 (step @p34 false :rule chain_m_resolution :premises (@p33 @p28 @p6) :args (false (@list true false) (@list @t56 @t19))) % 0.19/0.52 ) % 0.19/0.52 % SZS output end Proof % 0.19/0.52 % cvc5 exiting %------------------------------------------------------------------------------