%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV274-2 : 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 : 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 09:00:55 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.55s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV274-2 : 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 : n018.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 20:00:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.55 % SZS status Unsatisfiable % 0.31/0.55 % SZS output start Proof % 0.31/0.56 ( % 0.31/0.56 (declare-sort $$unsorted 0) % 0.31/0.56 (declare-const tptp.v_H $$unsorted) % 0.31/0.56 (declare-const tptp.v_X $$unsorted) % 0.31/0.56 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.56 (declare-const tptp.v_Y $$unsorted) % 0.31/0.56 (declare-const tptp.c_Main_OsubsetI__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.56 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.56 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.31/0.56 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.56 (declare-const tptp.c_Message_Osynth (-> $$unsorted $$unsorted)) % 0.31/0.56 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.31/0.56 (define @t1 () (@var "V_H" $$unsorted)) % 0.31/0.56 (define @t2 () (tptp.c_Message_Osynth @t1)) % 0.31/0.56 (define @t3 () (@var "V_X" $$unsorted)) % 0.31/0.56 (define @t4 () (tptp.c_in @t3 @t2 tptp.tc_Message_Omsg)) % 0.31/0.56 (define @t5 () (tptp.tc_set tptp.tc_Message_Omsg)) % 0.31/0.56 (define @t6 () (@var "V_G" $$unsorted)) % 0.31/0.56 (define @t7 () (@var "V_b" $$unsorted)) % 0.31/0.56 (define @t8 () (@var "V_a" $$unsorted)) % 0.31/0.56 (define @t9 () (@var "T_a" $$unsorted)) % 0.31/0.56 (define @t10 () (@var "V_A" $$unsorted)) % 0.31/0.56 (define @t11 () (forall (@list @t8 @t7 @t10 @t9) (or (not (tptp.c_in @t8 (tptp.c_insert @t7 @t10 @t9) @t9)) (tptp.c_in @t8 @t10 @t9) (= @t8 @t7)))) % 0.31/0.56 (define @t12 () (@var "V_B" $$unsorted)) % 0.31/0.56 (define @t13 () (tptp.c_lessequals @t10 @t12 (tptp.tc_set @t9))) % 0.31/0.56 (define @t14 () (tptp.c_Main_OsubsetI__1 @t10 @t12 @t9)) % 0.31/0.56 (define @t15 () (@list @t10 @t12 @t9)) % 0.31/0.56 (define @t16 () (tptp.c_insert tptp.v_X tptp.v_H tptp.tc_Message_Omsg)) % 0.31/0.56 (define @t17 () (tptp.c_in tptp.v_Y (tptp.c_Message_Osynth @t16) tptp.tc_Message_Omsg)) % 0.31/0.56 (define @t18 () (tptp.c_Message_Osynth tptp.v_H)) % 0.31/0.56 (define @t19 () (tptp.c_in tptp.v_Y @t18 tptp.tc_Message_Omsg)) % 0.31/0.56 (define @t20 () (tptp.c_Main_OsubsetI__1 @t16 @t18 tptp.tc_Message_Omsg)) % 0.31/0.56 (define @t21 () (tptp.c_in @t20 tptp.v_H tptp.tc_Message_Omsg)) % 0.31/0.56 (define @t22 () (tptp.c_in @t20 @t16 tptp.tc_Message_Omsg)) % 0.31/0.56 (define @t23 () (not @t22)) % 0.31/0.56 (define @t24 () (or @t23 @t21 (= @t20 tptp.v_X))) % 0.31/0.56 (define @t25 () (= tptp.v_X @t20)) % 0.31/0.56 (define @t26 () (or @t23 @t21 @t25)) % 0.31/0.56 (define @t27 () (@list @t16 @t18 tptp.tc_Message_Omsg)) % 0.31/0.56 (define @t28 () (tptp.c_lessequals @t16 @t18 @t5)) % 0.31/0.56 (define @t29 () (not @t28)) % 0.31/0.56 (define @t30 () (not @t17)) % 0.31/0.56 (define @t31 () (or @t30 @t29 @t19)) % 0.31/0.56 (define @t32 () (tptp.c_in @t20 @t18 tptp.tc_Message_Omsg)) % 0.31/0.56 (define @t33 () (not @t32)) % 0.31/0.56 (define @t34 () (or @t33 @t28)) % 0.31/0.56 (define @t35 () (@list true false)) % 0.31/0.56 (define @t36 () (not @t21)) % 0.31/0.56 (define @t37 () (or @t36 @t32)) % 0.31/0.56 (define @t38 () (or @t22 @t28)) % 0.31/0.56 (assume @p1 (forall (@list @t3 @t1) (or (not (tptp.c_in @t3 @t1 tptp.tc_Message_Omsg)) @t4))) % 0.31/0.56 (assume @p2 (forall (@list @t3 @t6 @t1) (or (not (tptp.c_in @t3 (tptp.c_Message_Osynth @t6) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals @t6 @t2 @t5)) @t4))) % 0.31/0.56 (assume @p3 @t11) % 0.31/0.56 (assume @p4 (forall @t15 (or (tptp.c_in @t14 @t10 @t9) @t13))) % 0.31/0.56 (assume @p5 (forall @t15 (or (not (tptp.c_in @t14 @t12 @t9)) @t13))) % 0.31/0.56 (assume @p6 @t17) % 0.31/0.56 (assume @p7 (tptp.c_in tptp.v_X @t18 tptp.tc_Message_Omsg)) % 0.31/0.56 (assume @p8 (not @t19)) % 0.31/0.56 (step @p9 :rule evaluate :args ((= false true))) % 0.31/0.56 (step @p10 :rule true_intro :premises (@p7)) % 0.31/0.56 (step @p11 :rule refl :args (tptp.tc_Message_Omsg)) % 0.31/0.56 (step @p12 :rule refl :args (@t18)) % 0.31/0.56 (step @p13 :rule eq-symm :args (@t20 tptp.v_X)) % 0.31/0.56 (step @p14 :rule refl :args (@t21)) % 0.31/0.56 (step @p15 :rule refl :args (@t23)) % 0.31/0.56 (step @p16 :rule nary_cong :premises (@p15 @p14 @p13) :args (@t24)) % 0.31/0.56 (step @p17 :rule refl :args (@t11)) % 0.31/0.56 (step @p18 :rule cong :premises (@p17 @p16) :args ((=> @t11 @t24))) % 0.31/0.56 (assume-push @p51 @t11) % 0.31/0.56 (step @p20 :rule instantiate :premises (@p3) :args ((@list @t20 tptp.v_X tptp.v_H tptp.tc_Message_Omsg))) % 0.31/0.56 (step-pop @p52 :rule scope :premises (@p20)) % 0.31/0.56 (step @p21 :rule process_scope :premises (@p52) :args (@t24)) % 0.31/0.56 (step @p23 :rule eq_resolve :premises (@p21 @p18)) % 0.31/0.56 (step @p24 :rule implies_elim :premises (@p23)) % 0.31/0.56 (step @p25 :rule chain_m_resolution :premises (@p24 @p3) :args (@t26 (@list false) (@list @t11))) % 0.31/0.56 (step @p26 :rule instantiate :premises (@p1) :args ((@list @t20 tptp.v_H))) % 0.31/0.56 (step @p27 :rule instantiate :premises (@p5) :args (@t27)) % 0.31/0.56 (step @p28 :rule instantiate :premises (@p2) :args ((@list tptp.v_Y @t16 tptp.v_H))) % 0.31/0.56 (step @p29 :rule cnf_or_pos :args (@t31)) % 0.31/0.56 (step @p30 :rule reordering :premises (@p29) :args ((or @t19 @t30 @t29 (not @t31)))) % 0.31/0.56 (step @p31 :rule chain_m_resolution :premises (@p30 @p8 @p6 @p28) :args (@t29 (@list true false false) (@list @t19 @t17 @t31))) % 0.31/0.56 (step @p32 :rule cnf_or_pos :args (@t34)) % 0.31/0.56 (step @p33 :rule reordering :premises (@p32) :args ((or @t28 @t33 (not @t34)))) % 0.31/0.56 (step @p34 :rule chain_m_resolution :premises (@p33 @p31 @p27) :args (@t33 @t35 (@list @t28 @t34))) % 0.31/0.56 (step @p35 :rule cnf_or_pos :args (@t37)) % 0.31/0.56 (step @p36 :rule reordering :premises (@p35) :args ((or @t32 @t36 (not @t37)))) % 0.31/0.56 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p26) :args (@t36 @t35 (@list @t32 @t37))) % 0.31/0.56 (step @p38 :rule instantiate :premises (@p4) :args (@t27)) % 0.31/0.56 (step @p39 :rule cnf_or_pos :args (@t38)) % 0.31/0.56 (step @p40 :rule reordering :premises (@p39) :args ((or @t28 @t22 (not @t38)))) % 0.31/0.56 (step @p41 :rule chain_m_resolution :premises (@p40 @p31 @p38) :args (@t22 @t35 (@list @t28 @t38))) % 0.31/0.56 (step @p42 :rule cnf_or_pos :args (@t26)) % 0.31/0.56 (step @p43 :rule reordering :premises (@p42) :args ((or @t23 @t21 @t25 (not @t26)))) % 0.31/0.56 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p37 @p25) :args (@t25 (@list false true false) (@list @t22 @t21 @t26))) % 0.31/0.56 (step @p45 :rule symm :premises (@p44)) % 0.31/0.56 (step @p46 :rule cong :premises (@p45 @p12 @p11) :args (@t32)) % 0.31/0.56 (step @p47 :rule false_intro :premises (@p34)) % 0.31/0.56 (step @p48 :rule symm :premises (@p47)) % 0.31/0.56 (step @p49 :rule trans :premises (@p48 @p46 @p10)) % 0.31/0.56 (step @p50 false :rule eq_resolve :premises (@p49 @p9)) % 0.31/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------