%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV251-2 : 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 09:00:50 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.59s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SWV251-2 : TPTP v9.2.1. Released v3.2.0. % 0.08/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n018.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 19:59:50 EDT 2026 % 0.17/0.36 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.59 % SZS status Unsatisfiable % 0.39/0.59 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort $$unsorted 0) % 0.39/0.59 (declare-const tptp.v_H $$unsorted) % 0.39/0.59 (declare-const tptp.v_X $$unsorted) % 0.39/0.59 (declare-const tptp.c_Message_Osynth (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.v_G $$unsorted) % 0.39/0.59 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.c_union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.c_Message_Oanalz (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.v_x $$unsorted) % 0.39/0.59 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.c_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.tc_Message_Omsg $$unsorted) % 0.39/0.59 (define @t1 () (tptp.tc_set tptp.tc_Message_Omsg)) % 0.39/0.59 (define @t2 () (@var "V_H" $$unsorted)) % 0.39/0.59 (define @t3 () (@var "V_G" $$unsorted)) % 0.39/0.59 (define @t4 () (@var "T_a" $$unsorted)) % 0.39/0.59 (define @t5 () (@var "V_A" $$unsorted)) % 0.39/0.59 (define @t6 () (@var "V_B" $$unsorted)) % 0.39/0.59 (define @t7 () (tptp.tc_set @t4)) % 0.39/0.59 (define @t8 () (tptp.c_minus @t6 @t5 @t7)) % 0.39/0.59 (define @t9 () (@list @t6 @t5 @t4)) % 0.39/0.59 (define @t10 () (tptp.c_union @t5 @t6 @t4)) % 0.39/0.59 (define @t11 () (@var "V_C" $$unsorted)) % 0.39/0.59 (define @t12 () (tptp.c_lessequals @t5 @t11 @t7)) % 0.39/0.59 (define @t13 () (tptp.c_lessequals @t10 @t11 @t7)) % 0.39/0.59 (define @t14 () (not @t13)) % 0.39/0.59 (define @t15 () (@list @t5 @t6 @t4 @t11)) % 0.39/0.59 (define @t16 () (tptp.c_lessequals @t6 @t11 @t7)) % 0.39/0.59 (define @t17 () (@var "V_x" $$unsorted)) % 0.39/0.59 (define @t18 () (@var "V_c" $$unsorted)) % 0.39/0.59 (define @t19 () (not (tptp.c_lessequals @t5 @t6 @t7))) % 0.39/0.59 (define @t20 () (forall (@list @t18 @t5 @t4 @t6) (or (not (tptp.c_in @t18 @t5 @t4)) @t19 (tptp.c_in @t18 @t6 @t4)))) % 0.39/0.59 (define @t21 () (tptp.c_Message_Osynth (tptp.c_Message_Oanalz tptp.v_G))) % 0.39/0.59 (define @t22 () (tptp.c_in tptp.v_X @t21 tptp.tc_Message_Omsg)) % 0.39/0.59 (define @t23 () (tptp.c_insert tptp.v_X tptp.v_H tptp.tc_Message_Omsg)) % 0.39/0.59 (define @t24 () (tptp.c_Message_Oanalz @t23)) % 0.39/0.59 (define @t25 () (tptp.c_in tptp.v_x @t24 tptp.tc_Message_Omsg)) % 0.39/0.59 (define @t26 () (tptp.c_union @t21 tptp.v_H tptp.tc_Message_Omsg)) % 0.39/0.59 (define @t27 () (tptp.c_Message_Oanalz @t26)) % 0.39/0.59 (define @t28 () (tptp.c_in tptp.v_x @t27 tptp.tc_Message_Omsg)) % 0.39/0.59 (define @t29 () (tptp.c_minus @t23 @t21 @t1)) % 0.39/0.59 (define @t30 () (= @t29 (tptp.c_minus tptp.v_H @t21 @t1))) % 0.39/0.59 (define @t31 () (not @t22)) % 0.39/0.59 (define @t32 () (or @t31 @t30)) % 0.39/0.59 (define @t33 () (@list false false)) % 0.39/0.59 (define @t34 () (tptp.c_union @t21 @t29 tptp.tc_Message_Omsg)) % 0.39/0.59 (define @t35 () (tptp.c_lessequals (tptp.c_union @t21 @t23 tptp.tc_Message_Omsg) @t26 @t1)) % 0.39/0.59 (define @t36 () (tptp.c_lessequals @t23 @t26 @t1)) % 0.39/0.59 (define @t37 () (not @t35)) % 0.39/0.59 (define @t38 () (or @t37 @t36)) % 0.39/0.59 (define @t39 () (tptp.c_lessequals @t24 @t27 @t1)) % 0.39/0.59 (define @t40 () (not @t36)) % 0.39/0.59 (define @t41 () (or @t40 @t39)) % 0.39/0.59 (define @t42 () (not @t39)) % 0.39/0.59 (define @t43 () (not @t25)) % 0.39/0.59 (define @t44 () (or @t43 @t42 @t28)) % 0.39/0.59 (define @t45 () (not @t44)) % 0.39/0.59 (assume @p1 (forall (@list @t3 @t2) (or (not (tptp.c_lessequals @t3 @t2 @t1)) (tptp.c_lessequals (tptp.c_Message_Oanalz @t3) (tptp.c_Message_Oanalz @t2) @t1)))) % 0.39/0.59 (assume @p2 (forall @t9 (= (tptp.c_union @t8 @t5 @t4) (tptp.c_union @t6 @t5 @t4)))) % 0.39/0.59 (assume @p3 (forall (@list @t5 @t6 @t4) (= (tptp.c_union @t5 @t8 @t4) @t10))) % 0.39/0.59 (assume @p4 (forall @t15 (or @t14 @t12))) % 0.39/0.59 (assume @p5 (forall @t15 (or @t14 @t16))) % 0.39/0.59 (assume @p6 (forall (@list @t6 @t11 @t4 @t5) (or (not @t16) (not @t12) @t13))) % 0.39/0.59 (assume @p7 (forall (@list @t17 @t6 @t4 @t5) (or (not (tptp.c_in @t17 @t6 @t4)) (= (tptp.c_minus (tptp.c_insert @t17 @t5 @t4) @t6 @t7) (tptp.c_minus @t5 @t6 @t7))))) % 0.39/0.59 (assume @p8 @t20) % 0.39/0.59 (assume @p9 (forall @t9 (or (not (tptp.c_lessequals @t6 @t5 @t7)) @t19 (= @t5 @t6)))) % 0.39/0.59 (assume @p10 (forall (@list @t5 @t4) (tptp.c_lessequals @t5 @t5 @t7))) % 0.39/0.59 (assume @p11 @t22) % 0.39/0.59 (assume @p12 @t25) % 0.39/0.59 (assume @p13 (not @t28)) % 0.39/0.59 (step @p14 :rule instantiate :premises (@p1) :args ((@list @t23 @t26))) % 0.39/0.59 (step @p15 :rule instantiate :premises (@p5) :args ((@list @t21 @t23 tptp.tc_Message_Omsg @t26))) % 0.39/0.59 (step @p16 :rule instantiate :premises (@p10) :args ((@list @t26 tptp.tc_Message_Omsg))) % 0.39/0.59 (step @p17 :rule true_intro :premises (@p16)) % 0.39/0.59 (step @p18 :rule refl :args (@t1)) % 0.39/0.59 (step @p19 :rule refl :args (@t26)) % 0.39/0.59 (step @p20 :rule instantiate :premises (@p3) :args ((@list @t21 tptp.v_H tptp.tc_Message_Omsg))) % 0.39/0.59 (step @p21 :rule refl :args (tptp.tc_Message_Omsg)) % 0.39/0.59 (step @p22 :rule instantiate :premises (@p7) :args ((@list tptp.v_X @t21 tptp.tc_Message_Omsg tptp.v_H))) % 0.39/0.59 (step @p23 :rule cnf_or_pos :args (@t32)) % 0.39/0.59 (step @p24 :rule reordering :premises (@p23) :args ((or @t31 @t30 (not @t32)))) % 0.39/0.59 (step @p25 :rule chain_m_resolution :premises (@p24 @p11 @p22) :args (@t30 @t33 (@list @t22 @t32))) % 0.39/0.59 (step @p26 :rule refl :args (@t21)) % 0.39/0.59 (step @p27 :rule cong :premises (@p26 @p25 @p21) :args (@t34)) % 0.39/0.59 (step @p28 :rule trans :premises (@p27 @p20)) % 0.39/0.59 (step @p29 :rule cong :premises (@p28 @p19 @p18) :args ((tptp.c_lessequals @t34 @t26 @t1))) % 0.39/0.59 (step @p30 :rule instantiate :premises (@p3) :args ((@list @t21 @t23 tptp.tc_Message_Omsg))) % 0.39/0.59 (step @p31 :rule symm :premises (@p30)) % 0.39/0.59 (step @p32 :rule cong :premises (@p31 @p19 @p18) :args (@t35)) % 0.39/0.59 (step @p33 :rule trans :premises (@p32 @p29 @p17)) % 0.39/0.59 (step @p34 :rule true_elim :premises (@p33)) % 0.39/0.59 (step @p35 :rule cnf_or_pos :args (@t38)) % 0.39/0.59 (step @p36 :rule reordering :premises (@p35) :args ((or @t36 @t37 (not @t38)))) % 0.39/0.59 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p15) :args (@t36 @t33 (@list @t35 @t38))) % 0.39/0.59 (step @p38 :rule cnf_or_pos :args (@t41)) % 0.39/0.59 (step @p39 :rule reordering :premises (@p38) :args ((or @t40 @t39 (not @t41)))) % 0.39/0.59 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p14) :args (@t39 @t33 (@list @t36 @t41))) % 0.39/0.59 (step @p41 :rule cnf_or_pos :args (@t44)) % 0.39/0.59 (step @p42 :rule reordering :premises (@p41) :args ((or @t28 @t43 @t42 @t45))) % 0.39/0.59 (step @p43 :rule chain_m_resolution :premises (@p42 @p13 @p12 @p40) :args (@t45 (@list true false false) (@list @t28 @t25 @t39))) % 0.39/0.59 (assume-push @p50 @t20) % 0.39/0.59 (step @p45 :rule instantiate :premises (@p8) :args ((@list tptp.v_x @t24 tptp.tc_Message_Omsg @t27))) % 0.39/0.59 (step-pop @p51 :rule scope :premises (@p45)) % 0.39/0.59 (step @p46 :rule process_scope :premises (@p51) :args (@t44)) % 0.39/0.59 (step @p48 :rule implies_elim :premises (@p46)) % 0.39/0.59 (step @p49 false :rule chain_m_resolution :premises (@p48 @p43 @p8) :args (false (@list true false) (@list @t44 @t20))) % 0.39/0.59 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------