%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET841-2 : 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 : n015.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 08:48:47 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET841-2 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.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 : Tue Jun 2 16:14:49 EDT 2026 % 0.17/0.34 % 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 % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.v_x $$unsorted) % 0.31/0.55 (declare-const tptp.v_S $$unsorted) % 0.31/0.55 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.c_Zorn_OTFin (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.c_Zorn_Osucc (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.t_a $$unsorted) % 0.31/0.55 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.v_m $$unsorted) % 0.31/0.55 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.31/0.55 (define @t1 () (@var "T_a" $$unsorted)) % 0.31/0.55 (define @t2 () (tptp.tc_set @t1)) % 0.31/0.55 (define @t3 () (@var "V_A" $$unsorted)) % 0.31/0.55 (define @t4 () (@var "V_m" $$unsorted)) % 0.31/0.55 (define @t5 () (@var "V_n" $$unsorted)) % 0.31/0.55 (define @t6 () (tptp.tc_set @t2)) % 0.31/0.55 (define @t7 () (@var "V_S" $$unsorted)) % 0.31/0.55 (define @t8 () (tptp.c_Zorn_OTFin @t7 @t1)) % 0.31/0.55 (define @t9 () (forall (@list @t5 @t7 @t1 @t4) (or (not (tptp.c_in @t5 @t8 @t6)) (not (tptp.c_in @t4 @t8 @t6)) (not (tptp.c_lessequals @t5 @t4 @t6)) (tptp.c_lessequals (tptp.c_Zorn_Osucc @t7 @t5 @t1) @t4 @t6) (= @t5 @t4)))) % 0.31/0.55 (define @t10 () (tptp.tc_set (tptp.tc_set tptp.t_a))) % 0.31/0.55 (define @t11 () (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a)) % 0.31/0.55 (define @t12 () (tptp.c_in tptp.v_m @t11 @t10)) % 0.31/0.55 (define @t13 () (tptp.c_in tptp.v_x @t11 @t10)) % 0.31/0.55 (define @t14 () (tptp.c_lessequals tptp.v_x tptp.v_m @t10)) % 0.31/0.55 (define @t15 () (tptp.c_Zorn_Osucc tptp.v_S tptp.v_x tptp.t_a)) % 0.31/0.55 (define @t16 () (tptp.c_lessequals @t15 tptp.v_m @t10)) % 0.31/0.55 (define @t17 () (not @t14)) % 0.31/0.55 (define @t18 () (not @t12)) % 0.31/0.55 (define @t19 () (not @t13)) % 0.31/0.55 (define @t20 () (or @t19 @t18 @t17 @t16 (= tptp.v_x tptp.v_m))) % 0.31/0.55 (define @t21 () (= tptp.v_m tptp.v_x)) % 0.31/0.55 (define @t22 () (or @t19 @t18 @t17 @t16 @t21)) % 0.31/0.55 (assume @p1 (forall (@list @t3 @t1) (tptp.c_lessequals @t3 @t3 @t2))) % 0.31/0.55 (assume @p2 @t9) % 0.31/0.55 (assume @p3 @t12) % 0.31/0.55 (assume @p4 (= tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a))) % 0.31/0.55 (assume @p5 @t13) % 0.31/0.55 (assume @p6 @t14) % 0.31/0.55 (assume @p7 (not @t16)) % 0.31/0.55 (step @p8 :rule evaluate :args ((= false true))) % 0.31/0.55 (step @p9 :rule true_intro :premises (@p6)) % 0.31/0.55 (step @p10 :rule refl :args (@t10)) % 0.31/0.55 (step @p11 :rule refl :args (tptp.v_m)) % 0.31/0.55 (step @p12 :rule eq-symm :args (tptp.v_x tptp.v_m)) % 0.31/0.55 (step @p13 :rule refl :args (@t16)) % 0.31/0.55 (step @p14 :rule refl :args (@t17)) % 0.31/0.55 (step @p15 :rule refl :args (@t18)) % 0.31/0.55 (step @p16 :rule refl :args (@t19)) % 0.31/0.55 (step @p17 :rule nary_cong :premises (@p16 @p15 @p14 @p13 @p12) :args (@t20)) % 0.31/0.55 (step @p18 :rule refl :args (@t9)) % 0.31/0.55 (step @p19 :rule cong :premises (@p18 @p17) :args ((=> @t9 @t20))) % 0.31/0.55 (assume-push @p41 @t9) % 0.31/0.55 (step @p21 :rule instantiate :premises (@p2) :args ((@list tptp.v_x tptp.v_S tptp.t_a tptp.v_m))) % 0.31/0.55 (step-pop @p42 :rule scope :premises (@p21)) % 0.31/0.55 (step @p22 :rule process_scope :premises (@p42) :args (@t20)) % 0.31/0.55 (step @p24 :rule eq_resolve :premises (@p22 @p19)) % 0.31/0.55 (step @p25 :rule implies_elim :premises (@p24)) % 0.31/0.55 (step @p26 :rule chain_m_resolution :premises (@p25 @p2) :args (@t22 (@list false) (@list @t9))) % 0.31/0.55 (step @p27 :rule cnf_or_pos :args (@t22)) % 0.31/0.55 (step @p28 :rule reordering :premises (@p27) :args ((or @t16 @t18 @t19 @t17 @t21 (not @t22)))) % 0.31/0.55 (step @p29 :rule chain_m_resolution :premises (@p28 @p7 @p3 @p5 @p6 @p26) :args (@t21 (@list true false false false false) (@list @t16 @t12 @t13 @t14 @t22))) % 0.31/0.55 (step @p30 :rule symm :premises (@p4)) % 0.31/0.55 (step @p31 :rule refl :args (tptp.t_a)) % 0.31/0.55 (step @p32 :rule symm :premises (@p29)) % 0.31/0.55 (step @p33 :rule refl :args (tptp.v_S)) % 0.31/0.55 (step @p34 :rule cong :premises (@p33 @p32 @p31) :args (@t15)) % 0.31/0.55 (step @p35 :rule trans :premises (@p34 @p30 @p29)) % 0.31/0.55 (step @p36 :rule cong :premises (@p35 @p11 @p10) :args (@t16)) % 0.31/0.55 (step @p37 :rule false_intro :premises (@p7)) % 0.31/0.55 (step @p38 :rule symm :premises (@p37)) % 0.31/0.55 (step @p39 :rule trans :premises (@p38 @p36 @p9)) % 0.31/0.55 (step @p40 false :rule eq_resolve :premises (@p39 @p8)) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.40/0.56 % cvc5 exiting %------------------------------------------------------------------------------