%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV275-2 : 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 : n018.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 09:00:56 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV275-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n018.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 20:01:05 EDT 2026 % 0.15/0.35 % 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... % 0.36/0.57 % SZS status Unsatisfiable % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.v_H $$unsorted) % 0.36/0.57 (declare-const tptp.c_Main_OsubsetI__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.v_X $$unsorted) % 0.36/0.57 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.c_Message_Osynth (-> $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.36/0.57 (define @t1 () (@var "V_H" $$unsorted)) % 0.36/0.57 (define @t2 () (tptp.c_Message_Osynth @t1)) % 0.36/0.57 (define @t3 () (@var "V_X" $$unsorted)) % 0.36/0.57 (define @t4 () (tptp.tc_set tptp.tc_Message_Omsg)) % 0.36/0.57 (define @t5 () (@var "V_G" $$unsorted)) % 0.36/0.57 (define @t6 () (@var "T_a" $$unsorted)) % 0.36/0.57 (define @t7 () (@var "V_B" $$unsorted)) % 0.36/0.57 (define @t8 () (@var "V_b" $$unsorted)) % 0.36/0.57 (define @t9 () (@var "V_a" $$unsorted)) % 0.36/0.57 (define @t10 () (@var "V_x" $$unsorted)) % 0.36/0.57 (define @t11 () (@var "V_A" $$unsorted)) % 0.36/0.57 (define @t12 () (forall (@list @t9 @t8 @t11 @t6) (or (not (tptp.c_in @t9 (tptp.c_insert @t8 @t11 @t6) @t6)) (tptp.c_in @t9 @t11 @t6) (= @t9 @t8)))) % 0.36/0.57 (define @t13 () (@var "V_c" $$unsorted)) % 0.36/0.57 (define @t14 () (tptp.c_lessequals @t11 @t7 (tptp.tc_set @t6))) % 0.36/0.57 (define @t15 () (tptp.c_Main_OsubsetI__1 @t11 @t7 @t6)) % 0.36/0.57 (define @t16 () (@list @t11 @t7 @t6)) % 0.36/0.57 (define @t17 () (tptp.c_insert tptp.v_X tptp.v_H tptp.tc_Message_Omsg)) % 0.36/0.57 (define @t18 () (tptp.c_Message_Osynth @t17)) % 0.36/0.57 (define @t19 () (tptp.c_Message_Osynth tptp.v_H)) % 0.36/0.57 (define @t20 () (tptp.c_insert tptp.v_X @t19 tptp.tc_Message_Omsg)) % 0.36/0.57 (define @t21 () (tptp.c_lessequals @t20 @t18 @t4)) % 0.36/0.57 (define @t22 () (tptp.c_Main_OsubsetI__1 @t20 @t18 tptp.tc_Message_Omsg)) % 0.36/0.57 (define @t23 () (tptp.c_in @t22 @t19 tptp.tc_Message_Omsg)) % 0.36/0.57 (define @t24 () (tptp.c_in @t22 @t20 tptp.tc_Message_Omsg)) % 0.36/0.57 (define @t25 () (not @t24)) % 0.36/0.57 (define @t26 () (or @t25 @t23 (= @t22 tptp.v_X))) % 0.36/0.57 (define @t27 () (= tptp.v_X @t22)) % 0.36/0.57 (define @t28 () (or @t25 @t23 @t27)) % 0.36/0.57 (define @t29 () (@list tptp.v_H @t17 tptp.tc_Message_Omsg)) % 0.36/0.57 (define @t30 () (tptp.c_lessequals tptp.v_H @t17 @t4)) % 0.36/0.57 (define @t31 () (tptp.c_Main_OsubsetI__1 tptp.v_H @t17 tptp.tc_Message_Omsg)) % 0.36/0.57 (define @t32 () (tptp.c_in @t31 tptp.v_H tptp.tc_Message_Omsg)) % 0.36/0.57 (define @t33 () (or @t32 @t30)) % 0.36/0.57 (define @t34 () (tptp.c_in @t31 @t17 tptp.tc_Message_Omsg)) % 0.36/0.57 (define @t35 () (not @t34)) % 0.36/0.57 (define @t36 () (or @t35 @t30)) % 0.36/0.57 (define @t37 () (not @t32)) % 0.36/0.57 (define @t38 () (or @t37 @t34)) % 0.36/0.57 (define @t39 () (tptp.c_lessequals @t19 @t18 @t4)) % 0.36/0.57 (define @t40 () (not @t30)) % 0.36/0.57 (define @t41 () (or @t40 @t39)) % 0.36/0.57 (define @t42 () (@list @t20 @t18 tptp.tc_Message_Omsg)) % 0.36/0.57 (define @t43 () (tptp.c_in @t22 @t18 tptp.tc_Message_Omsg)) % 0.36/0.57 (define @t44 () (not @t43)) % 0.36/0.57 (define @t45 () (or @t44 @t21)) % 0.36/0.57 (define @t46 () (@list true false)) % 0.36/0.57 (define @t47 () (not @t39)) % 0.36/0.57 (define @t48 () (not @t23)) % 0.36/0.57 (define @t49 () (or @t48 @t47 @t43)) % 0.36/0.57 (define @t50 () (or @t24 @t21)) % 0.36/0.57 (define @t51 () (tptp.c_in @t22 @t17 tptp.tc_Message_Omsg)) % 0.36/0.57 (define @t52 () (not @t51)) % 0.36/0.57 (define @t53 () (or @t52 @t43)) % 0.36/0.57 (assume @p1 (forall (@list @t3 @t1) (or (not (tptp.c_in @t3 @t1 tptp.tc_Message_Omsg)) (tptp.c_in @t3 @t2 tptp.tc_Message_Omsg)))) % 0.36/0.57 (assume @p2 (forall (@list @t5 @t1) (or (not (tptp.c_lessequals @t5 @t1 @t4)) (tptp.c_lessequals (tptp.c_Message_Osynth @t5) @t2 @t4)))) % 0.36/0.57 (assume @p3 (forall (@list @t9 @t7 @t6 @t8) (or (not (tptp.c_in @t9 @t7 @t6)) (tptp.c_in @t9 (tptp.c_insert @t8 @t7 @t6) @t6)))) % 0.36/0.57 (assume @p4 (forall (@list @t10 @t7 @t6) (tptp.c_in @t10 (tptp.c_insert @t10 @t7 @t6) @t6))) % 0.36/0.57 (assume @p5 @t12) % 0.36/0.57 (assume @p6 (forall (@list @t13 @t11 @t6 @t7) (or (not (tptp.c_in @t13 @t11 @t6)) (not @t14) (tptp.c_in @t13 @t7 @t6)))) % 0.36/0.57 (assume @p7 (forall @t16 (or (tptp.c_in @t15 @t11 @t6) @t14))) % 0.36/0.57 (assume @p8 (forall @t16 (or (not (tptp.c_in @t15 @t7 @t6)) @t14))) % 0.36/0.57 (assume @p9 (not @t21)) % 0.36/0.57 (step @p10 :rule evaluate :args ((= false true))) % 0.36/0.57 (step @p11 :rule instantiate :premises (@p4) :args ((@list tptp.v_X tptp.v_H tptp.tc_Message_Omsg))) % 0.36/0.57 (step @p12 :rule true_intro :premises (@p11)) % 0.36/0.57 (step @p13 :rule refl :args (tptp.tc_Message_Omsg)) % 0.36/0.57 (step @p14 :rule refl :args (@t17)) % 0.36/0.57 (step @p15 :rule eq-symm :args (@t22 tptp.v_X)) % 0.36/0.57 (step @p16 :rule refl :args (@t23)) % 0.36/0.57 (step @p17 :rule refl :args (@t25)) % 0.36/0.57 (step @p18 :rule nary_cong :premises (@p17 @p16 @p15) :args (@t26)) % 0.36/0.57 (step @p19 :rule refl :args (@t12)) % 0.36/0.57 (step @p20 :rule cong :premises (@p19 @p18) :args ((=> @t12 @t26))) % 0.36/0.57 (assume-push @p67 @t12) % 0.36/0.57 (step @p22 :rule instantiate :premises (@p5) :args ((@list @t22 tptp.v_X @t19 tptp.tc_Message_Omsg))) % 0.36/0.57 (step-pop @p68 :rule scope :premises (@p22)) % 0.36/0.57 (step @p23 :rule process_scope :premises (@p68) :args (@t26)) % 0.36/0.57 (step @p25 :rule eq_resolve :premises (@p23 @p20)) % 0.36/0.57 (step @p26 :rule implies_elim :premises (@p25)) % 0.36/0.57 (step @p27 :rule chain_m_resolution :premises (@p26 @p5) :args (@t28 (@list false) (@list @t12))) % 0.36/0.57 (step @p28 :rule instantiate :premises (@p6) :args ((@list @t22 @t19 tptp.tc_Message_Omsg @t18))) % 0.36/0.57 (step @p29 :rule instantiate :premises (@p2) :args ((@list tptp.v_H @t17))) % 0.36/0.57 (step @p30 :rule instantiate :premises (@p7) :args (@t29)) % 0.36/0.57 (step @p31 :rule cnf_or_pos :args (@t33)) % 0.36/0.57 (step @p32 :rule reordering :premises (@p31) :args ((or @t30 @t32 (not @t33)))) % 0.36/0.57 (step @p33 :rule instantiate :premises (@p8) :args (@t29)) % 0.36/0.57 (step @p34 :rule cnf_or_pos :args (@t36)) % 0.36/0.57 (step @p35 :rule reordering :premises (@p34) :args ((or @t30 @t35 (not @t36)))) % 0.36/0.57 (step @p36 :rule instantiate :premises (@p3) :args ((@list @t31 tptp.v_H tptp.tc_Message_Omsg tptp.v_X))) % 0.36/0.57 (step @p37 :rule cnf_or_pos :args (@t38)) % 0.36/0.57 (step @p38 :rule reordering :premises (@p37) :args ((or @t34 @t37 (not @t38)))) % 0.36/0.57 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p35 @p33 @p32 @p30) :args (@t30 (@list false true false false false) (@list @t38 @t34 @t36 @t32 @t33))) % 0.36/0.57 (step @p40 :rule cnf_or_pos :args (@t41)) % 0.36/0.57 (step @p41 :rule reordering :premises (@p40) :args ((or @t39 @t40 (not @t41)))) % 0.36/0.57 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p29) :args (@t39 (@list false false) (@list @t30 @t41))) % 0.36/0.57 (step @p43 :rule instantiate :premises (@p8) :args (@t42)) % 0.36/0.57 (step @p44 :rule cnf_or_pos :args (@t45)) % 0.36/0.57 (step @p45 :rule reordering :premises (@p44) :args ((or @t21 @t44 (not @t45)))) % 0.36/0.57 (step @p46 :rule chain_m_resolution :premises (@p45 @p9 @p43) :args (@t44 @t46 (@list @t21 @t45))) % 0.36/0.57 (step @p47 :rule cnf_or_pos :args (@t49)) % 0.36/0.57 (step @p48 :rule reordering :premises (@p47) :args ((or @t43 @t48 @t47 (not @t49)))) % 0.36/0.57 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p42 @p28) :args (@t48 (@list true false false) (@list @t43 @t39 @t49))) % 0.36/0.57 (step @p50 :rule instantiate :premises (@p7) :args (@t42)) % 0.36/0.57 (step @p51 :rule cnf_or_pos :args (@t50)) % 0.36/0.57 (step @p52 :rule reordering :premises (@p51) :args ((or @t21 @t24 (not @t50)))) % 0.36/0.57 (step @p53 :rule chain_m_resolution :premises (@p52 @p9 @p50) :args (@t24 @t46 (@list @t21 @t50))) % 0.36/0.57 (step @p54 :rule cnf_or_pos :args (@t28)) % 0.36/0.57 (step @p55 :rule reordering :premises (@p54) :args ((or @t25 @t23 @t27 (not @t28)))) % 0.36/0.57 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p49 @p27) :args (@t27 (@list false true false) (@list @t24 @t23 @t28))) % 0.36/0.57 (step @p57 :rule symm :premises (@p56)) % 0.36/0.57 (step @p58 :rule cong :premises (@p57 @p14 @p13) :args (@t51)) % 0.36/0.57 (step @p59 :rule instantiate :premises (@p1) :args ((@list @t22 @t17))) % 0.36/0.57 (step @p60 :rule cnf_or_pos :args (@t53)) % 0.36/0.57 (step @p61 :rule reordering :premises (@p60) :args ((or @t43 @t52 (not @t53)))) % 0.36/0.57 (step @p62 :rule chain_m_resolution :premises (@p61 @p46 @p59) :args (@t52 @t46 (@list @t43 @t53))) % 0.36/0.57 (step @p63 :rule false_intro :premises (@p62)) % 0.36/0.57 (step @p64 :rule symm :premises (@p63)) % 0.36/0.57 (step @p65 :rule trans :premises (@p64 @p58 @p12)) % 0.36/0.57 (step @p66 false :rule eq_resolve :premises (@p65 @p10)) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------