%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV262-2 : TPTP v9.2.1. 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 : n022.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 0.30s 0.55s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV262-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n022.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 20:00:23 EDT 2026 % 0.16/0.35 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.55 % SZS status Unsatisfiable % 0.30/0.55 % SZS output start Proof % 0.40/0.56 ( % 0.40/0.56 (declare-sort $$unsorted 0) % 0.40/0.56 (declare-const tptp.c_union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.56 (declare-const tptp.v_X $$unsorted) % 0.40/0.56 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.56 (declare-const tptp.v_Y $$unsorted) % 0.40/0.56 (declare-const tptp.c_emptyset $$unsorted) % 0.40/0.56 (declare-const tptp.c_Message_Oparts (-> $$unsorted $$unsorted)) % 0.40/0.56 (declare-const tptp.v_H $$unsorted) % 0.40/0.56 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.40/0.56 (define @t1 () (tptp.c_Message_Oparts tptp.v_H)) % 0.40/0.56 (define @t2 () (tptp.c_insert tptp.v_Y tptp.c_emptyset tptp.tc_Message_Omsg)) % 0.40/0.56 (define @t3 () (tptp.c_insert tptp.v_X tptp.c_emptyset tptp.tc_Message_Omsg)) % 0.40/0.56 (define @t4 () (tptp.c_union (tptp.c_Message_Oparts @t3) (tptp.c_Message_Oparts @t2) tptp.tc_Message_Omsg)) % 0.40/0.56 (define @t5 () (tptp.c_insert tptp.v_Y tptp.v_H tptp.tc_Message_Omsg)) % 0.40/0.56 (define @t6 () (tptp.c_insert tptp.v_X @t5 tptp.tc_Message_Omsg)) % 0.40/0.56 (define @t7 () (tptp.c_Message_Oparts @t6)) % 0.40/0.56 (define @t8 () (= @t7 (tptp.c_union @t4 @t1 tptp.tc_Message_Omsg))) % 0.40/0.56 (define @t9 () (@var "V_H" $$unsorted)) % 0.40/0.56 (define @t10 () (@var "V_G" $$unsorted)) % 0.40/0.56 (define @t11 () (forall (@list @t10 @t9) (= (tptp.c_Message_Oparts (tptp.c_union @t10 @t9 tptp.tc_Message_Omsg)) (tptp.c_union (tptp.c_Message_Oparts @t10) (tptp.c_Message_Oparts @t9) tptp.tc_Message_Omsg)))) % 0.40/0.56 (define @t12 () (@var "V_y" $$unsorted)) % 0.40/0.56 (define @t13 () (@var "T_a" $$unsorted)) % 0.40/0.56 (define @t14 () (tptp.c_union tptp.c_emptyset @t12 @t13)) % 0.40/0.56 (define @t15 () (forall (@list @t12 @t13) (= @t14 @t12))) % 0.40/0.56 (define @t16 () (@var "V_C" $$unsorted)) % 0.40/0.56 (define @t17 () (@var "V_B" $$unsorted)) % 0.40/0.56 (define @t18 () (@var "V_a" $$unsorted)) % 0.40/0.56 (define @t19 () (tptp.c_union @t3 @t2 tptp.tc_Message_Omsg)) % 0.40/0.56 (define @t20 () (tptp.c_Message_Oparts @t19)) % 0.40/0.56 (define @t21 () (= @t20 @t4)) % 0.40/0.56 (define @t22 () (@list @t3 @t2)) % 0.40/0.56 (define @t23 () (= @t4 @t20)) % 0.40/0.56 (define @t24 () (tptp.c_union tptp.c_emptyset @t2 tptp.tc_Message_Omsg)) % 0.40/0.56 (define @t25 () (tptp.c_union @t20 @t1 tptp.tc_Message_Omsg)) % 0.40/0.56 (define @t26 () (= (tptp.c_Message_Oparts (tptp.c_union @t19 tptp.v_H tptp.tc_Message_Omsg)) @t25)) % 0.40/0.56 (define @t27 () (tptp.c_insert tptp.v_X @t24 tptp.tc_Message_Omsg)) % 0.40/0.56 (define @t28 () (= @t19 @t27)) % 0.40/0.56 (define @t29 () (= @t2 @t24)) % 0.40/0.56 (define @t30 () (tptp.c_union @t27 tptp.v_H tptp.tc_Message_Omsg)) % 0.40/0.56 (define @t31 () (= @t30 (tptp.c_insert tptp.v_X (tptp.c_union @t24 tptp.v_H tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) % 0.40/0.56 (define @t32 () (tptp.c_union tptp.c_emptyset tptp.v_H tptp.tc_Message_Omsg)) % 0.40/0.56 (define @t33 () (tptp.c_union @t2 tptp.v_H tptp.tc_Message_Omsg)) % 0.40/0.56 (define @t34 () (= @t33 (tptp.c_insert tptp.v_Y @t32 tptp.tc_Message_Omsg))) % 0.40/0.56 (define @t35 () (= tptp.v_H @t32)) % 0.40/0.56 (define @t36 () (and @t23 @t26 @t28 @t29 @t31 @t34 @t35)) % 0.40/0.56 (assume @p1 (not @t8)) % 0.40/0.56 (assume @p2 @t11) % 0.40/0.56 (assume @p3 @t15) % 0.40/0.56 (assume @p4 (forall (@list @t18 @t17 @t13 @t16) (= (tptp.c_union (tptp.c_insert @t18 @t17 @t13) @t16 @t13) (tptp.c_insert @t18 (tptp.c_union @t17 @t16 @t13) @t13)))) % 0.40/0.56 (step @p5 :rule eq-symm :args (@t20 @t4)) % 0.40/0.56 (step @p6 :rule refl :args (@t11)) % 0.40/0.56 (step @p7 :rule cong :premises (@p6 @p5) :args ((=> @t11 @t21))) % 0.40/0.56 (assume-push @p61 @t11) % 0.40/0.56 (step @p9 :rule instantiate :premises (@p2) :args (@t22)) % 0.40/0.56 (step-pop @p62 :rule scope :premises (@p9)) % 0.40/0.56 (step @p10 :rule process_scope :premises (@p62) :args (@t21)) % 0.40/0.56 (step @p12 :rule eq_resolve :premises (@p10 @p7)) % 0.40/0.56 (step @p13 :rule implies_elim :premises (@p12)) % 0.40/0.56 (step @p14 :rule chain_m_resolution :premises (@p13 @p2) :args (@t23 (@list false) (@list @t11))) % 0.40/0.56 (step @p15 :rule instantiate :premises (@p2) :args ((@list @t19 tptp.v_H))) % 0.40/0.56 (step @p16 :rule instantiate :premises (@p4) :args ((@list tptp.v_X tptp.c_emptyset tptp.tc_Message_Omsg @t2))) % 0.40/0.56 (step @p17 :rule eq-symm :args (@t14 @t12)) % 0.40/0.56 (step @p18 :rule cong :premises (@p17) :args (@t15)) % 0.40/0.56 (step @p19 :rule eq_resolve :premises (@p3 @p18)) % 0.40/0.56 (step @p20 :rule instantiate :premises (@p19) :args ((@list @t2 tptp.tc_Message_Omsg))) % 0.40/0.56 (step @p21 :rule instantiate :premises (@p4) :args ((@list tptp.v_X @t24 tptp.tc_Message_Omsg tptp.v_H))) % 0.40/0.56 (step @p22 :rule instantiate :premises (@p4) :args ((@list tptp.v_Y tptp.c_emptyset tptp.tc_Message_Omsg tptp.v_H))) % 0.40/0.56 (step @p23 :rule instantiate :premises (@p19) :args ((@list tptp.v_H tptp.tc_Message_Omsg))) % 0.40/0.56 (assume-push @p63 @t23) % 0.40/0.56 (assume-push @p64 @t26) % 0.40/0.56 (assume-push @p65 @t28) % 0.40/0.56 (assume-push @p66 @t29) % 0.40/0.56 (assume-push @p67 @t31) % 0.40/0.56 (assume-push @p68 @t34) % 0.40/0.56 (assume-push @p69 @t35) % 0.40/0.56 (step @p31 :rule refl :args (tptp.tc_Message_Omsg)) % 0.40/0.56 (step @p32 :rule refl :args (@t1)) % 0.40/0.56 (step @p9 :rule instantiate :premises (@p2) :args (@t22)) % 0.40/0.56 (step @p33 :rule cong :premises (@p9 @p32 @p31) :args (@t25)) % 0.40/0.56 (step @p34 :rule refl :args (tptp.v_H)) % 0.40/0.56 (step @p35 :rule symm :premises (@p16)) % 0.40/0.56 (step @p36 :rule cong :premises (@p35 @p34 @p31) :args (@t30)) % 0.40/0.56 (step @p37 :rule symm :premises (@p21)) % 0.40/0.56 (step @p38 :rule cong :premises (@p20 @p34 @p31) :args (@t33)) % 0.40/0.56 (step @p39 :rule symm :premises (@p22)) % 0.40/0.56 (step @p40 :rule refl :args (tptp.v_Y)) % 0.40/0.56 (step @p41 :rule cong :premises (@p40 @p23 @p31) :args (@t5)) % 0.40/0.56 (step @p42 :rule trans :premises (@p41 @p39 @p38)) % 0.40/0.56 (step @p43 :rule refl :args (tptp.v_X)) % 0.40/0.56 (step @p44 :rule cong :premises (@p43 @p42 @p31) :args (@t6)) % 0.40/0.56 (step @p45 :rule trans :premises (@p44 @p37 @p36)) % 0.40/0.56 (step @p46 :rule cong :premises (@p45) :args (@t7)) % 0.40/0.56 (step @p47 :rule trans :premises (@p46 @p15 @p33)) % 0.40/0.56 (step-pop @p70 :rule scope :premises (@p47)) % 0.40/0.56 (step-pop @p71 :rule scope :premises (@p70)) % 0.40/0.56 (step-pop @p72 :rule scope :premises (@p71)) % 0.40/0.56 (step-pop @p73 :rule scope :premises (@p72)) % 0.40/0.56 (step-pop @p74 :rule scope :premises (@p73)) % 0.40/0.56 (step-pop @p75 :rule scope :premises (@p74)) % 0.40/0.56 (step-pop @p76 :rule scope :premises (@p75)) % 0.40/0.56 (step @p48 :rule process_scope :premises (@p76) :args (@t8)) % 0.40/0.56 (step @p56 :rule implies_elim :premises (@p48)) % 0.40/0.56 (step @p57 :rule cnf_and_neg :args (@t36)) % 0.40/0.56 (step @p58 :rule resolution :premises (@p57 @p56) :args (true @t36)) % 0.40/0.56 (step @p59 :rule reordering :premises (@p58) :args ((or @t8 (not @t23) (not @t26) (not @t28) (not @t29) (not @t31) (not @t34) (not @t35)))) % 0.40/0.56 (step @p60 false :rule chain_m_resolution :premises (@p59 @p23 @p22 @p21 @p20 @p16 @p15 @p14 @p1) :args (false (@list false false false false false false false true) (@list @t35 @t34 @t31 @t29 @t28 @t26 @t23 @t8))) % 0.40/0.56 ) % 0.40/0.56 % SZS output end Proof % 0.40/0.56 % cvc5 exiting %------------------------------------------------------------------------------