%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV260-2 : 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 : n025.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 : SWV260-2 : 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 % 0.17/0.35 % Computer : n025.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 20:00:46 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.51 --- 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 $$unsorted 0) % 0.37/0.57 (declare-const tptp.c_Main_OsubsetI__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.c_union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.v_Y $$unsorted) % 0.37/0.57 (declare-const tptp.v_H $$unsorted) % 0.37/0.57 (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.v_X $$unsorted) % 0.37/0.57 (declare-const tptp.v_G $$unsorted) % 0.37/0.57 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.37/0.57 (define @t1 () (tptp.c_insert tptp.v_X tptp.v_G tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t2 () (tptp.c_in tptp.v_Y (tptp.c_Message_Oparts @t1) tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t3 () (tptp.c_in tptp.v_X (tptp.c_Message_Oparts tptp.v_H) tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t4 () (tptp.c_union tptp.v_G tptp.v_H tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t5 () (tptp.c_Message_Oparts @t4)) % 0.37/0.57 (define @t6 () (tptp.c_in tptp.v_Y @t5 tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t7 () (@var "V_H" $$unsorted)) % 0.37/0.57 (define @t8 () (tptp.c_Message_Oparts @t7)) % 0.37/0.57 (define @t9 () (@var "V_X" $$unsorted)) % 0.37/0.57 (define @t10 () (tptp.c_in @t9 @t8 tptp.tc_Message_Omsg)) % 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 () (forall (@list @t14 @t12 @t11 @t13) (or (not (tptp.c_in @t14 @t12 @t11)) @t15))) % 0.37/0.57 (define @t17 () (@var "V_b" $$unsorted)) % 0.37/0.57 (define @t18 () (@var "V_a" $$unsorted)) % 0.37/0.57 (define @t19 () (forall (@list @t18 @t17 @t13 @t11) (or (not (tptp.c_in @t18 (tptp.c_insert @t17 @t13 @t11) @t11)) (tptp.c_in @t18 @t13 @t11) (= @t18 @t17)))) % 0.37/0.57 (define @t20 () (tptp.c_lessequals @t13 @t12 (tptp.tc_set @t11))) % 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 () (tptp.tc_set tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t24 () (@var "V_G" $$unsorted)) % 0.37/0.57 (define @t25 () (tptp.c_Main_OsubsetI__1 tptp.v_H @t5 tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t26 () (@list tptp.v_H @t5 tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t27 () (@list @t1 @t5 tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t28 () (tptp.c_lessequals @t1 @t5 @t23)) % 0.37/0.57 (define @t29 () (not @t28)) % 0.37/0.57 (define @t30 () (not @t2)) % 0.37/0.57 (define @t31 () (or @t30 @t29 @t6)) % 0.37/0.57 (define @t32 () (tptp.c_Main_OsubsetI__1 @t1 @t5 tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t33 () (tptp.c_in @t32 @t5 tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t34 () (not @t33)) % 0.37/0.57 (define @t35 () (or @t34 @t28)) % 0.37/0.57 (define @t36 () (@list true false)) % 0.37/0.57 (define @t37 () (tptp.c_in @t32 tptp.v_G tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t38 () (tptp.c_in @t32 @t1 tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t39 () (not @t38)) % 0.37/0.57 (define @t40 () (or @t39 @t37 (= @t32 tptp.v_X))) % 0.37/0.57 (define @t41 () (= tptp.v_X @t32)) % 0.37/0.57 (define @t42 () (or @t39 @t37 @t41)) % 0.37/0.57 (define @t43 () (tptp.c_in @t32 @t4 tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t44 () (not @t43)) % 0.37/0.57 (define @t45 () (or @t44 @t33)) % 0.37/0.57 (define @t46 () (not @t37)) % 0.37/0.57 (define @t47 () (or @t46 @t43)) % 0.37/0.57 (define @t48 () (or @t38 @t28)) % 0.37/0.57 (define @t49 () (@list false true false)) % 0.37/0.57 (define @t50 () (tptp.c_in tptp.v_X @t5 tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t51 () (tptp.c_lessequals tptp.v_H @t5 @t23)) % 0.37/0.57 (define @t52 () (not @t51)) % 0.37/0.57 (define @t53 () (not @t3)) % 0.37/0.57 (define @t54 () (or @t53 @t52 @t50)) % 0.37/0.57 (define @t55 () (tptp.c_in @t25 @t5 tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t56 () (not @t55)) % 0.37/0.57 (define @t57 () (or @t56 @t51)) % 0.37/0.57 (define @t58 () (tptp.c_in @t25 @t4 tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t59 () (not @t58)) % 0.37/0.57 (define @t60 () (or @t59 @t55)) % 0.37/0.57 (define @t61 () (tptp.c_in @t25 tptp.v_H tptp.tc_Message_Omsg)) % 0.37/0.57 (define @t62 () (or @t61 @t51)) % 0.37/0.57 (define @t63 () (not @t61)) % 0.37/0.57 (define @t64 () (or @t63 @t58)) % 0.37/0.57 (define @t65 () (not @t64)) % 0.37/0.57 (assume @p1 @t2) % 0.37/0.57 (assume @p2 @t3) % 0.37/0.57 (assume @p3 (not @t6)) % 0.37/0.57 (assume @p4 (forall (@list @t9 @t7) (or (not (tptp.c_in @t9 @t7 tptp.tc_Message_Omsg)) @t10))) % 0.37/0.57 (assume @p5 @t16) % 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 @t19) % 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 @t9 @t24 @t7) (or (not (tptp.c_in @t9 (tptp.c_Message_Oparts @t24) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals @t24 @t8 @t23)) @t10))) % 0.37/0.57 (step @p11 :rule instantiate :premises (@p4) :args ((@list @t25 @t4))) % 0.37/0.57 (step @p12 :rule instantiate :premises (@p9) :args (@t26)) % 0.37/0.57 (step @p13 :rule instantiate :premises (@p10) :args ((@list tptp.v_X tptp.v_H @t4))) % 0.37/0.57 (step @p14 :rule instantiate :premises (@p9) :args (@t27)) % 0.37/0.57 (step @p15 :rule instantiate :premises (@p10) :args ((@list tptp.v_Y @t1 @t4))) % 0.37/0.57 (step @p16 :rule cnf_or_pos :args (@t31)) % 0.37/0.57 (step @p17 :rule reordering :premises (@p16) :args ((or @t6 @t30 @t29 (not @t31)))) % 0.37/0.57 (step @p18 :rule chain_m_resolution :premises (@p17 @p3 @p1 @p15) :args (@t29 (@list true false false) (@list @t6 @t2 @t31))) % 0.37/0.57 (step @p19 :rule cnf_or_pos :args (@t35)) % 0.37/0.57 (step @p20 :rule reordering :premises (@p19) :args ((or @t28 @t34 (not @t35)))) % 0.37/0.57 (step @p21 :rule chain_m_resolution :premises (@p20 @p18 @p14) :args (@t34 @t36 (@list @t28 @t35))) % 0.37/0.57 (step @p22 :rule false_intro :premises (@p21)) % 0.37/0.57 (step @p23 :rule refl :args (tptp.tc_Message_Omsg)) % 0.37/0.57 (step @p24 :rule refl :args (@t5)) % 0.37/0.57 (step @p25 :rule eq-symm :args (@t32 tptp.v_X)) % 0.37/0.57 (step @p26 :rule refl :args (@t37)) % 0.37/0.57 (step @p27 :rule refl :args (@t39)) % 0.37/0.57 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25) :args (@t40)) % 0.37/0.57 (step @p29 :rule refl :args (@t19)) % 0.37/0.57 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t19 @t40))) % 0.37/0.57 (assume-push @p78 @t19) % 0.37/0.57 (step @p32 :rule instantiate :premises (@p7) :args ((@list @t32 tptp.v_X tptp.v_G tptp.tc_Message_Omsg))) % 0.37/0.57 (step-pop @p79 :rule scope :premises (@p32)) % 0.37/0.57 (step @p33 :rule process_scope :premises (@p79) :args (@t40)) % 0.37/0.57 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 0.37/0.57 (step @p36 :rule implies_elim :premises (@p35)) % 0.37/0.57 (step @p37 :rule chain_m_resolution :premises (@p36 @p7) :args (@t42 (@list false) (@list @t19))) % 0.37/0.57 (step @p38 :rule instantiate :premises (@p6) :args ((@list @t32 tptp.v_G tptp.tc_Message_Omsg tptp.v_H))) % 0.37/0.57 (step @p39 :rule instantiate :premises (@p4) :args ((@list @t32 @t4))) % 0.37/0.57 (step @p40 :rule cnf_or_pos :args (@t45)) % 0.37/0.57 (step @p41 :rule reordering :premises (@p40) :args ((or @t33 @t44 (not @t45)))) % 0.37/0.57 (step @p42 :rule chain_m_resolution :premises (@p41 @p21 @p39) :args (@t44 @t36 (@list @t33 @t45))) % 0.37/0.57 (step @p43 :rule cnf_or_pos :args (@t47)) % 0.37/0.57 (step @p44 :rule reordering :premises (@p43) :args ((or @t43 @t46 (not @t47)))) % 0.37/0.57 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p38) :args (@t46 @t36 (@list @t43 @t47))) % 0.37/0.57 (step @p46 :rule instantiate :premises (@p8) :args (@t27)) % 0.37/0.57 (step @p47 :rule cnf_or_pos :args (@t48)) % 0.37/0.57 (step @p48 :rule reordering :premises (@p47) :args ((or @t28 @t38 (not @t48)))) % 0.37/0.57 (step @p49 :rule chain_m_resolution :premises (@p48 @p18 @p46) :args (@t38 @t36 (@list @t28 @t48))) % 0.37/0.57 (step @p50 :rule cnf_or_pos :args (@t42)) % 0.37/0.57 (step @p51 :rule reordering :premises (@p50) :args ((or @t39 @t37 @t41 (not @t42)))) % 0.37/0.57 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p45 @p37) :args (@t41 @t49 (@list @t38 @t37 @t42))) % 0.37/0.57 (step @p53 :rule cong :premises (@p52 @p24 @p23) :args (@t50)) % 0.37/0.57 (step @p54 :rule trans :premises (@p53 @p22)) % 0.37/0.57 (step @p55 :rule false_elim :premises (@p54)) % 0.37/0.57 (step @p56 :rule cnf_or_pos :args (@t54)) % 0.37/0.57 (step @p57 :rule reordering :premises (@p56) :args ((or @t53 @t52 @t50 (not @t54)))) % 0.37/0.57 (step @p58 :rule chain_m_resolution :premises (@p57 @p2 @p55 @p13) :args (@t52 @t49 (@list @t3 @t50 @t54))) % 0.37/0.57 (step @p59 :rule cnf_or_pos :args (@t57)) % 0.37/0.57 (step @p60 :rule reordering :premises (@p59) :args ((or @t51 @t56 (not @t57)))) % 0.37/0.57 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p12) :args (@t56 @t36 (@list @t51 @t57))) % 0.37/0.57 (step @p62 :rule cnf_or_pos :args (@t60)) % 0.37/0.57 (step @p63 :rule reordering :premises (@p62) :args ((or @t55 @t59 (not @t60)))) % 0.37/0.57 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p11) :args (@t59 @t36 (@list @t55 @t60))) % 0.37/0.57 (step @p65 :rule instantiate :premises (@p8) :args (@t26)) % 0.37/0.57 (step @p66 :rule cnf_or_pos :args (@t62)) % 0.37/0.57 (step @p67 :rule reordering :premises (@p66) :args ((or @t51 @t61 (not @t62)))) % 0.37/0.57 (step @p68 :rule chain_m_resolution :premises (@p67 @p58 @p65) :args (@t61 @t36 (@list @t51 @t62))) % 0.37/0.57 (step @p69 :rule cnf_or_pos :args (@t64)) % 0.37/0.57 (step @p70 :rule reordering :premises (@p69) :args ((or @t63 @t58 @t65))) % 0.37/0.57 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p64) :args (@t65 (@list false true) (@list @t61 @t58))) % 0.37/0.57 (assume-push @p80 @t16) % 0.37/0.57 (step @p73 :rule instantiate :premises (@p5) :args ((@list @t25 tptp.v_H tptp.tc_Message_Omsg tptp.v_G))) % 0.37/0.57 (step-pop @p81 :rule scope :premises (@p73)) % 0.37/0.57 (step @p74 :rule process_scope :premises (@p81) :args (@t64)) % 0.37/0.57 (step @p76 :rule implies_elim :premises (@p74)) % 0.37/0.57 (step @p77 false :rule chain_m_resolution :premises (@p76 @p71 @p5) :args (false @t36 (@list @t64 @t16))) % 0.37/0.57 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------