%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM011-2 : 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 : n006.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 08:10:24 AM UTC 2026 % Result : Unsatisfiable 0.30s 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 : COM011-2 : 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 % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 20:28:04 EDT 2026 % 0.17/0.34 % 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 % 0.30/0.56 ( % 0.30/0.56 (declare-sort $$unsorted 0) % 0.30/0.56 (declare-const tptp.c_WFair_Oensures (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.56 (declare-const tptp.tc_UNITY_Oprogram (-> $$unsorted $$unsorted)) % 0.30/0.56 (declare-const tptp.c_Main_OsubsetI__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.56 (declare-const tptp.v_B $$unsorted) % 0.30/0.56 (declare-const tptp.v_A $$unsorted) % 0.30/0.56 (declare-const tptp.c_union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.56 (declare-const tptp.c_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.56 (declare-const tptp.c_UNITY_Oconstrains (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.56 (declare-const tptp.v_F $$unsorted) % 0.30/0.56 (declare-const tptp.c_WFair_OleadsTo (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.30/0.56 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.56 (declare-const tptp.c_WFair_Otransient (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.56 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.30/0.56 (declare-const tptp.t_a $$unsorted) % 0.30/0.56 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.30/0.56 (define @t1 () (tptp.tc_UNITY_Oprogram tptp.t_a)) % 0.30/0.56 (define @t2 () (tptp.c_union tptp.v_A tptp.v_B tptp.t_a)) % 0.30/0.56 (define @t3 () (tptp.c_in tptp.v_F (tptp.c_UNITY_Oconstrains tptp.v_A @t2 tptp.t_a) @t1)) % 0.30/0.56 (define @t4 () (tptp.c_in tptp.v_F (tptp.c_WFair_Otransient tptp.v_A tptp.t_a) @t1)) % 0.30/0.56 (define @t5 () (tptp.c_in tptp.v_F (tptp.c_WFair_OleadsTo tptp.v_A tptp.v_B tptp.t_a) @t1)) % 0.30/0.56 (define @t6 () (@var "T_a" $$unsorted)) % 0.30/0.56 (define @t7 () (@var "V_A" $$unsorted)) % 0.30/0.56 (define @t8 () (@var "V_c" $$unsorted)) % 0.30/0.56 (define @t9 () (tptp.tc_set @t6)) % 0.30/0.56 (define @t10 () (@var "V_B" $$unsorted)) % 0.30/0.56 (define @t11 () (tptp.c_minus @t7 @t10 @t9)) % 0.30/0.56 (define @t12 () (tptp.c_lessequals @t7 @t10 @t9)) % 0.30/0.56 (define @t13 () (tptp.c_Main_OsubsetI__1 @t7 @t10 @t6)) % 0.30/0.56 (define @t14 () (@list @t7 @t10 @t6)) % 0.30/0.56 (define @t15 () (tptp.tc_UNITY_Oprogram @t6)) % 0.30/0.56 (define @t16 () (@var "V_A_H" $$unsorted)) % 0.30/0.56 (define @t17 () (@var "V_F" $$unsorted)) % 0.30/0.56 (define @t18 () (not (tptp.c_lessequals @t10 @t7 @t9))) % 0.30/0.56 (define @t19 () (tptp.c_in @t17 (tptp.c_WFair_Oensures @t7 @t10 @t6) @t15)) % 0.30/0.56 (define @t20 () (@list @t17 @t7 @t10 @t6)) % 0.30/0.56 (define @t21 () (forall (@list @t17 @t7 @t6 @t10) (or (not (tptp.c_in @t17 (tptp.c_WFair_Otransient @t7 @t6) @t15)) @t18 (tptp.c_in @t17 (tptp.c_WFair_Otransient @t10 @t6) @t15)))) % 0.30/0.56 (define @t22 () (tptp.tc_set tptp.t_a)) % 0.30/0.56 (define @t23 () (tptp.c_minus tptp.v_A tptp.v_B @t22)) % 0.30/0.56 (define @t24 () (@list @t23 tptp.v_A tptp.t_a)) % 0.30/0.56 (define @t25 () (tptp.c_lessequals @t23 tptp.v_A @t22)) % 0.30/0.56 (define @t26 () (tptp.c_Main_OsubsetI__1 @t23 tptp.v_A tptp.t_a)) % 0.30/0.56 (define @t27 () (tptp.c_in @t26 @t23 tptp.t_a)) % 0.30/0.56 (define @t28 () (or @t27 @t25)) % 0.30/0.56 (define @t29 () (tptp.c_in @t26 tptp.v_A tptp.t_a)) % 0.30/0.56 (define @t30 () (not @t29)) % 0.30/0.56 (define @t31 () (or @t30 @t25)) % 0.30/0.56 (define @t32 () (not @t27)) % 0.30/0.56 (define @t33 () (or @t32 @t29)) % 0.30/0.56 (define @t34 () (@list tptp.v_F tptp.v_A tptp.v_B tptp.t_a)) % 0.30/0.56 (define @t35 () (tptp.c_in tptp.v_F (tptp.c_UNITY_Oconstrains @t23 @t2 tptp.t_a) @t1)) % 0.30/0.56 (define @t36 () (not @t25)) % 0.30/0.56 (define @t37 () (not @t3)) % 0.30/0.56 (define @t38 () (or @t37 @t36 @t35)) % 0.30/0.56 (define @t39 () (tptp.c_in tptp.v_F (tptp.c_WFair_Oensures tptp.v_A tptp.v_B tptp.t_a) @t1)) % 0.30/0.56 (define @t40 () (not @t39)) % 0.30/0.56 (define @t41 () (or @t40 @t5)) % 0.30/0.56 (define @t42 () (@list true false)) % 0.30/0.56 (define @t43 () (tptp.c_in tptp.v_F (tptp.c_WFair_Otransient @t23 tptp.t_a) @t1)) % 0.30/0.56 (define @t44 () (not @t43)) % 0.30/0.56 (define @t45 () (not @t35)) % 0.30/0.56 (define @t46 () (or @t45 @t44 @t39)) % 0.30/0.56 (define @t47 () (not @t4)) % 0.30/0.56 (define @t48 () (or @t47 @t36 @t43)) % 0.30/0.56 (define @t49 () (not @t48)) % 0.30/0.56 (assume @p1 @t3) % 0.30/0.56 (assume @p2 @t4) % 0.30/0.56 (assume @p3 (not @t5)) % 0.30/0.56 (assume @p4 (forall (@list @t8 @t7 @t10 @t6) (or (not (tptp.c_in @t8 @t11 @t6)) (tptp.c_in @t8 @t7 @t6)))) % 0.30/0.56 (assume @p5 (forall @t14 (or (tptp.c_in @t13 @t7 @t6) @t12))) % 0.30/0.56 (assume @p6 (forall @t14 (or (not (tptp.c_in @t13 @t10 @t6)) @t12))) % 0.30/0.56 (assume @p7 (forall (@list @t17 @t7 @t16 @t6 @t10) (or (not (tptp.c_in @t17 (tptp.c_UNITY_Oconstrains @t7 @t16 @t6) @t15)) @t18 (tptp.c_in @t17 (tptp.c_UNITY_Oconstrains @t10 @t16 @t6) @t15)))) % 0.30/0.56 (assume @p8 (forall @t20 (or (not (tptp.c_in @t17 (tptp.c_UNITY_Oconstrains @t11 (tptp.c_union @t7 @t10 @t6) @t6) @t15)) (not (tptp.c_in @t17 (tptp.c_WFair_Otransient @t11 @t6) @t15)) @t19))) % 0.30/0.56 (assume @p9 (forall @t20 (or (not @t19) (tptp.c_in @t17 (tptp.c_WFair_OleadsTo @t7 @t10 @t6) @t15)))) % 0.30/0.56 (assume @p10 @t21) % 0.30/0.56 (step @p11 :rule instantiate :premises (@p5) :args (@t24)) % 0.30/0.56 (step @p12 :rule cnf_or_pos :args (@t28)) % 0.30/0.56 (step @p13 :rule reordering :premises (@p12) :args ((or @t25 @t27 (not @t28)))) % 0.30/0.56 (step @p14 :rule instantiate :premises (@p6) :args (@t24)) % 0.30/0.56 (step @p15 :rule cnf_or_pos :args (@t31)) % 0.30/0.56 (step @p16 :rule reordering :premises (@p15) :args ((or @t25 @t30 (not @t31)))) % 0.30/0.56 (step @p17 :rule instantiate :premises (@p4) :args ((@list @t26 tptp.v_A tptp.v_B tptp.t_a))) % 0.30/0.56 (step @p18 :rule cnf_or_pos :args (@t33)) % 0.30/0.56 (step @p19 :rule reordering :premises (@p18) :args ((or @t29 @t32 (not @t33)))) % 0.30/0.56 (step @p20 :rule chain_m_resolution :premises (@p19 @p17 @p16 @p14 @p13 @p11) :args (@t25 (@list false true false false false) (@list @t33 @t29 @t31 @t27 @t28))) % 0.30/0.56 (step @p21 :rule instantiate :premises (@p8) :args (@t34)) % 0.30/0.56 (step @p22 :rule instantiate :premises (@p7) :args ((@list tptp.v_F tptp.v_A @t2 tptp.t_a @t23))) % 0.30/0.56 (step @p23 :rule cnf_or_pos :args (@t38)) % 0.30/0.56 (step @p24 :rule reordering :premises (@p23) :args ((or @t37 @t35 @t36 (not @t38)))) % 0.30/0.56 (step @p25 :rule chain_m_resolution :premises (@p24 @p1 @p20 @p22) :args (@t35 (@list false false false) (@list @t3 @t25 @t38))) % 0.30/0.56 (step @p26 :rule instantiate :premises (@p9) :args (@t34)) % 0.30/0.56 (step @p27 :rule cnf_or_pos :args (@t41)) % 0.30/0.56 (step @p28 :rule reordering :premises (@p27) :args ((or @t5 @t40 (not @t41)))) % 0.30/0.56 (step @p29 :rule chain_m_resolution :premises (@p28 @p3 @p26) :args (@t40 @t42 (@list @t5 @t41))) % 0.30/0.56 (step @p30 :rule cnf_or_pos :args (@t46)) % 0.30/0.56 (step @p31 :rule reordering :premises (@p30) :args ((or @t39 @t45 @t44 (not @t46)))) % 0.30/0.56 (step @p32 :rule chain_m_resolution :premises (@p31 @p29 @p25 @p21) :args (@t44 (@list true false false) (@list @t39 @t35 @t46))) % 0.30/0.56 (step @p33 :rule cnf_or_pos :args (@t48)) % 0.30/0.56 (step @p34 :rule reordering :premises (@p33) :args ((or @t47 @t43 @t36 @t49))) % 0.30/0.56 (step @p35 :rule chain_m_resolution :premises (@p34 @p2 @p32 @p20) :args (@t49 (@list false true false) (@list @t4 @t43 @t25))) % 0.30/0.56 (assume-push @p42 @t21) % 0.30/0.56 (step @p37 :rule instantiate :premises (@p10) :args ((@list tptp.v_F tptp.v_A tptp.t_a @t23))) % 0.30/0.56 (step-pop @p43 :rule scope :premises (@p37)) % 0.30/0.56 (step @p38 :rule process_scope :premises (@p43) :args (@t48)) % 0.30/0.56 (step @p40 :rule implies_elim :premises (@p38)) % 0.30/0.56 (step @p41 false :rule chain_m_resolution :premises (@p40 @p35 @p10) :args (false @t42 (@list @t48 @t21))) % 0.30/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------