%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV261-2 : 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 : n004.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 09:00:52 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV261-2 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n004.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 20:00:37 EDT 2026 % 0.15/0.34 % 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... % 0.37/0.57 % SZS status Unsatisfiable % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.c_union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.c_Main_OsubsetI__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.v_H $$unsorted) % 0.37/0.57 (declare-const tptp.v_X $$unsorted) % 0.37/0.57 (declare-const tptp.v_G $$unsorted) % 0.37/0.57 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.37/0.57 (define @t1 () (tptp.tc_set tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t2 () (tptp.c_union (tptp.c_Message_Oparts tptp.v_G) (tptp.c_Message_Oparts tptp.v_H) tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t3 () (tptp.c_insert tptp.v_X tptp.v_H tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t4 () (tptp.c_Message_Oparts @t3)) % 0.37/0.57 (define @t5 () (tptp.c_lessequals @t4 @t2 @t1)) % 0.37/0.57 (define @t6 () (@var "V_H" $$unsorted)) % 0.37/0.57 (define @t7 () (tptp.c_Message_Oparts @t6)) % 0.37/0.57 (define @t8 () (@var "V_G" $$unsorted)) % 0.37/0.57 (define @t9 () (tptp.c_Message_Oparts @t8)) % 0.37/0.57 (define @t10 () (@list @t8 @t6)) % 0.37/0.57 (define @t11 () (@var "T_a" $$unsorted)) % 0.37/0.57 (define @t12 () (@var "V_B" $$unsorted)) % 0.37/0.57 (define @t13 () (@var "V_A" $$unsorted)) % 0.37/0.57 (define @t14 () (@var "V_c" $$unsorted)) % 0.37/0.57 (define @t15 () (tptp.c_in @t14 (tptp.c_union @t13 @t12 @t11) @t11)) % 0.37/0.57 (define @t16 () (@var "V_b" $$unsorted)) % 0.37/0.57 (define @t17 () (@var "V_a" $$unsorted)) % 0.37/0.57 (define @t18 () (forall (@list @t17 @t16 @t13 @t11) (or (not (tptp.c_in @t17 (tptp.c_insert @t16 @t13 @t11) @t11)) (tptp.c_in @t17 @t13 @t11) (= @t17 @t16)))) % 0.37/0.57 (define @t19 () (tptp.tc_set @t11)) % 0.37/0.57 (define @t20 () (tptp.c_lessequals @t13 @t12 @t19)) % 0.37/0.57 (define @t21 () (tptp.c_Main_OsubsetI__1 @t13 @t12 @t11)) % 0.37/0.57 (define @t22 () (@list @t13 @t12 @t11)) % 0.37/0.57 (define @t23 () (@var "V_C" $$unsorted)) % 0.37/0.57 (define @t24 () (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t25 () (tptp.c_Main_OsubsetI__1 @t3 @t24 tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t26 () (tptp.c_in @t25 tptp.v_H tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t27 () (tptp.c_in @t25 @t3 tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t28 () (not @t27)) % 0.37/0.57 (define @t29 () (or @t28 @t26 (= @t25 tptp.v_X))) % 0.37/0.57 (define @t30 () (= tptp.v_X @t25)) % 0.37/0.57 (define @t31 () (or @t28 @t26 @t30)) % 0.37/0.57 (define @t32 () (@list @t3 @t24 tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t33 () (tptp.c_Message_Oparts @t24)) % 0.37/0.57 (define @t34 () (tptp.c_lessequals @t4 @t33 @t1)) % 0.37/0.57 (define @t35 () (not @t34)) % 0.37/0.57 (define @t36 () (tptp.c_lessequals @t33 @t2 @t1)) % 0.37/0.57 (define @t37 () (not @t36)) % 0.37/0.57 (define @t38 () (or @t37 @t35 @t5)) % 0.37/0.57 (define @t39 () (tptp.c_lessequals @t3 @t24 @t1)) % 0.37/0.57 (define @t40 () (not @t39)) % 0.37/0.57 (define @t41 () (or @t40 @t34)) % 0.37/0.57 (define @t42 () (@list true false)) % 0.37/0.57 (define @t43 () (tptp.c_in @t25 @t24 tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t44 () (not @t43)) % 0.37/0.57 (define @t45 () (or @t44 @t39)) % 0.37/0.57 (define @t46 () (not @t26)) % 0.37/0.57 (define @t47 () (or @t46 @t43)) % 0.37/0.57 (define @t48 () (or @t27 @t39)) % 0.37/0.57 (define @t49 () (tptp.c_in @t25 tptp.v_G tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t50 () (not @t49)) % 0.37/0.57 (define @t51 () (or @t50 @t43)) % 0.37/0.57 (assume @p1 (tptp.c_in tptp.v_X tptp.v_G tptp.tc_Message_Omsg)) % 0.37/0.57 (assume @p2 (not @t5)) % 0.37/0.57 (assume @p3 (forall @t10 (tptp.c_lessequals (tptp.c_Message_Oparts (tptp.c_union @t8 @t6 tptp.tc_Message_Omsg)) (tptp.c_union @t9 @t7 tptp.tc_Message_Omsg) @t1))) % 0.37/0.57 (assume @p4 (forall @t10 (or (not (tptp.c_lessequals @t8 @t6 @t1)) (tptp.c_lessequals @t9 @t7 @t1)))) % 0.37/0.57 (assume @p5 (forall (@list @t14 @t12 @t11 @t13) (or (not (tptp.c_in @t14 @t12 @t11)) @t15))) % 0.37/0.57 (assume @p6 (forall (@list @t14 @t13 @t11 @t12) (or (not (tptp.c_in @t14 @t13 @t11)) @t15))) % 0.37/0.57 (assume @p7 @t18) % 0.37/0.57 (assume @p8 (forall @t22 (or (tptp.c_in @t21 @t13 @t11) @t20))) % 0.37/0.57 (assume @p9 (forall @t22 (or (not (tptp.c_in @t21 @t12 @t11)) @t20))) % 0.37/0.57 (assume @p10 (forall (@list @t12 @t23 @t11 @t13) (or (not (tptp.c_lessequals @t12 @t23 @t19)) (not @t20) (tptp.c_lessequals @t13 @t23 @t19)))) % 0.37/0.57 (step @p11 :rule evaluate :args ((= false true))) % 0.37/0.57 (step @p12 :rule true_intro :premises (@p1)) % 0.37/0.57 (step @p13 :rule refl :args (tptp.tc_Message_Omsg)) % 0.37/0.57 (step @p14 :rule refl :args (tptp.v_G)) % 0.37/0.57 (step @p15 :rule eq-symm :args (@t25 tptp.v_X)) % 0.37/0.57 (step @p16 :rule refl :args (@t26)) % 0.37/0.57 (step @p17 :rule refl :args (@t28)) % 0.37/0.57 (step @p18 :rule nary_cong :premises (@p17 @p16 @p15) :args (@t29)) % 0.37/0.57 (step @p19 :rule refl :args (@t18)) % 0.37/0.57 (step @p20 :rule cong :premises (@p19 @p18) :args ((=> @t18 @t29))) % 0.37/0.57 (assume-push @p62 @t18) % 0.37/0.57 (step @p22 :rule instantiate :premises (@p7) :args ((@list @t25 tptp.v_X tptp.v_H tptp.tc_Message_Omsg))) % 0.37/0.57 (step-pop @p63 :rule scope :premises (@p22)) % 0.37/0.57 (step @p23 :rule process_scope :premises (@p63) :args (@t29)) % 0.37/0.57 (step @p25 :rule eq_resolve :premises (@p23 @p20)) % 0.37/0.57 (step @p26 :rule implies_elim :premises (@p25)) % 0.37/0.57 (step @p27 :rule chain_m_resolution :premises (@p26 @p7) :args (@t31 (@list false) (@list @t18))) % 0.37/0.57 (step @p28 :rule instantiate :premises (@p5) :args ((@list @t25 tptp.v_H tptp.tc_Message_Omsg tptp.v_G))) % 0.37/0.57 (step @p29 :rule instantiate :premises (@p9) :args (@t32)) % 0.37/0.57 (step @p30 :rule instantiate :premises (@p4) :args ((@list @t3 @t24))) % 0.37/0.57 (step @p31 :rule instantiate :premises (@p10) :args ((@list @t33 @t2 tptp.tc_Message_Omsg @t4))) % 0.37/0.57 (step @p32 :rule instantiate :premises (@p3) :args ((@list tptp.v_G tptp.v_H))) % 0.37/0.57 (step @p33 :rule cnf_or_pos :args (@t38)) % 0.37/0.57 (step @p34 :rule reordering :premises (@p33) :args ((or @t5 @t37 @t35 (not @t38)))) % 0.37/0.57 (step @p35 :rule chain_m_resolution :premises (@p34 @p2 @p32 @p31) :args (@t35 (@list true false false) (@list @t5 @t36 @t38))) % 0.37/0.57 (step @p36 :rule cnf_or_pos :args (@t41)) % 0.37/0.57 (step @p37 :rule reordering :premises (@p36) :args ((or @t34 @t40 (not @t41)))) % 0.37/0.57 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p30) :args (@t40 @t42 (@list @t34 @t41))) % 0.37/0.57 (step @p39 :rule cnf_or_pos :args (@t45)) % 0.37/0.57 (step @p40 :rule reordering :premises (@p39) :args ((or @t39 @t44 (not @t45)))) % 0.37/0.57 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p29) :args (@t44 @t42 (@list @t39 @t45))) % 0.37/0.57 (step @p42 :rule cnf_or_pos :args (@t47)) % 0.37/0.57 (step @p43 :rule reordering :premises (@p42) :args ((or @t43 @t46 (not @t47)))) % 0.37/0.57 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p28) :args (@t46 @t42 (@list @t43 @t47))) % 0.37/0.57 (step @p45 :rule instantiate :premises (@p8) :args (@t32)) % 0.37/0.57 (step @p46 :rule cnf_or_pos :args (@t48)) % 0.37/0.57 (step @p47 :rule reordering :premises (@p46) :args ((or @t39 @t27 (not @t48)))) % 0.37/0.57 (step @p48 :rule chain_m_resolution :premises (@p47 @p38 @p45) :args (@t27 @t42 (@list @t39 @t48))) % 0.37/0.57 (step @p49 :rule cnf_or_pos :args (@t31)) % 0.37/0.57 (step @p50 :rule reordering :premises (@p49) :args ((or @t28 @t26 @t30 (not @t31)))) % 0.37/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p44 @p27) :args (@t30 (@list false true false) (@list @t27 @t26 @t31))) % 0.37/0.57 (step @p52 :rule symm :premises (@p51)) % 0.37/0.57 (step @p53 :rule cong :premises (@p52 @p14 @p13) :args (@t49)) % 0.37/0.57 (step @p54 :rule instantiate :premises (@p6) :args ((@list @t25 tptp.v_G tptp.tc_Message_Omsg tptp.v_H))) % 0.37/0.57 (step @p55 :rule cnf_or_pos :args (@t51)) % 0.37/0.57 (step @p56 :rule reordering :premises (@p55) :args ((or @t43 @t50 (not @t51)))) % 0.37/0.57 (step @p57 :rule chain_m_resolution :premises (@p56 @p41 @p54) :args (@t50 @t42 (@list @t43 @t51))) % 0.37/0.57 (step @p58 :rule false_intro :premises (@p57)) % 0.37/0.57 (step @p59 :rule symm :premises (@p58)) % 0.37/0.57 (step @p60 :rule trans :premises (@p59 @p53 @p12)) % 0.37/0.57 (step @p61 false :rule eq_resolve :premises (@p60 @p11)) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------