%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV254-2 : 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 : n029.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 09:00:51 AM UTC 2026 % Result : Unsatisfiable 0.35s 0.58s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV254-2 : 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 : n029.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 20:00:17 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.58 % SZS status Unsatisfiable % 0.35/0.58 % SZS output start Proof % 0.35/0.59 ( % 0.35/0.59 (declare-sort $$unsorted 0) % 0.35/0.59 (declare-const tptp.v_nat $$unsorted) % 0.35/0.59 (declare-const tptp.v_x (-> $$unsorted $$unsorted)) % 0.35/0.59 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.35/0.59 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.35/0.59 (declare-const tptp.tc_nat $$unsorted) % 0.35/0.59 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.59 (declare-const tptp.c_SetInterval_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.59 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.59 (declare-const tptp.c_emptyset $$unsorted) % 0.35/0.59 (define @t1 () (@var "T_a" $$unsorted)) % 0.35/0.59 (define @t2 () (@var "V_n" $$unsorted)) % 0.35/0.59 (define @t3 () (@var "V_m" $$unsorted)) % 0.35/0.59 (define @t4 () (tptp.c_SetInterval_OatLeastLessThan @t3 @t2 @t1)) % 0.35/0.59 (define @t5 () (not (tptp.c_lessequals @t2 @t3 @t1))) % 0.35/0.59 (define @t6 () (not (tptp.class_Orderings_Oorder @t1))) % 0.35/0.59 (define @t7 () (or @t6 @t5 (= @t4 tptp.c_emptyset))) % 0.35/0.59 (define @t8 () (forall (@list @t1 @t2 @t3) @t7)) % 0.35/0.59 (define @t9 () (@var "V_A" $$unsorted)) % 0.35/0.59 (define @t10 () (@var "V_a" $$unsorted)) % 0.35/0.59 (define @t11 () (@var "V_U" $$unsorted)) % 0.35/0.59 (define @t12 () (tptp.v_x @t11)) % 0.35/0.59 (define @t13 () (@list @t11)) % 0.35/0.59 (define @t14 () (forall @t13 (= @t12 tptp.v_nat))) % 0.35/0.59 (define @t15 () (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.35/0.59 (define @t16 () (tptp.v_x tptp.tc_nat)) % 0.35/0.59 (define @t17 () (tptp.c_Suc @t16)) % 0.35/0.59 (define @t18 () (@list @t17)) % 0.35/0.59 (define @t19 () (tptp.v_x @t17)) % 0.35/0.59 (define @t20 () (= @t19 tptp.v_nat)) % 0.35/0.59 (define @t21 () (tptp.c_lessequals @t17 @t16 tptp.tc_nat)) % 0.35/0.59 (define @t22 () (= tptp.c_emptyset (tptp.c_SetInterval_OatLeastLessThan @t16 @t17 tptp.tc_nat))) % 0.35/0.59 (define @t23 () (not @t21)) % 0.35/0.59 (define @t24 () (not @t15)) % 0.35/0.59 (define @t25 () (or @t24 @t23 @t22)) % 0.35/0.59 (assume @p1 @t8) % 0.35/0.59 (assume @p2 (forall (@list @t3) (= (tptp.c_SetInterval_OatLeastLessThan @t3 (tptp.c_Suc @t3) tptp.tc_nat) (tptp.c_insert @t3 tptp.c_emptyset tptp.tc_nat)))) % 0.35/0.59 (assume @p3 (forall (@list @t10 @t9 @t1) (not (= tptp.c_emptyset (tptp.c_insert @t10 @t9 @t1))))) % 0.35/0.59 (assume @p4 (forall @t13 (tptp.c_lessequals @t11 @t12 tptp.tc_nat))) % 0.35/0.59 (assume @p5 @t14) % 0.35/0.59 (assume @p6 @t15) % 0.35/0.59 (step @p7 :rule evaluate :args ((= false true))) % 0.35/0.59 (step @p8 :rule instantiate :premises (@p4) :args (@t18)) % 0.35/0.59 (step @p9 :rule true_intro :premises (@p8)) % 0.35/0.59 (step @p10 :rule refl :args (tptp.tc_nat)) % 0.35/0.59 (step @p11 :rule eq-symm :args (@t19 tptp.v_nat)) % 0.35/0.59 (step @p12 :rule refl :args (@t14)) % 0.35/0.59 (step @p13 :rule cong :premises (@p12 @p11) :args ((=> @t14 @t20))) % 0.35/0.59 (assume-push @p46 @t14) % 0.35/0.59 (step @p15 :rule instantiate :premises (@p5) :args (@t18)) % 0.35/0.59 (step-pop @p47 :rule scope :premises (@p15)) % 0.35/0.59 (step @p16 :rule process_scope :premises (@p47) :args (@t20)) % 0.35/0.59 (step @p18 :rule eq_resolve :premises (@p16 @p13)) % 0.35/0.59 (step @p19 :rule implies_elim :premises (@p18)) % 0.35/0.59 (step @p20 :rule chain_m_resolution :premises (@p19 @p5) :args ((= tptp.v_nat @t19) (@list false) (@list @t14))) % 0.35/0.59 (step @p21 :rule instantiate :premises (@p5) :args ((@list tptp.tc_nat))) % 0.35/0.59 (step @p22 :rule trans :premises (@p21 @p20)) % 0.35/0.59 (step @p23 :rule refl :args (@t17)) % 0.35/0.59 (step @p24 :rule cong :premises (@p23 @p22 @p10) :args (@t21)) % 0.35/0.59 (step @p25 :rule eq-symm :args (@t4 tptp.c_emptyset)) % 0.35/0.59 (step @p26 :rule refl :args (@t5)) % 0.35/0.59 (step @p27 :rule refl :args (@t6)) % 0.35/0.59 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25) :args (@t7)) % 0.35/0.59 (step @p29 :rule cong :premises (@p28) :args (@t8)) % 0.35/0.59 (step @p30 :rule eq_resolve :premises (@p1 @p29)) % 0.35/0.59 (step @p31 :rule instantiate :premises (@p30) :args ((@list tptp.tc_nat @t17 @t16))) % 0.35/0.59 (step @p32 :rule instantiate :premises (@p3) :args ((@list @t16 tptp.c_emptyset tptp.tc_nat))) % 0.35/0.59 (step @p33 :rule false_intro :premises (@p32)) % 0.35/0.59 (step @p34 :rule instantiate :premises (@p2) :args ((@list @t16))) % 0.35/0.59 (step @p35 :rule refl :args (tptp.c_emptyset)) % 0.35/0.59 (step @p36 :rule cong :premises (@p35 @p34) :args (@t22)) % 0.35/0.59 (step @p37 :rule trans :premises (@p36 @p33)) % 0.35/0.59 (step @p38 :rule false_elim :premises (@p37)) % 0.35/0.59 (step @p39 :rule cnf_or_pos :args (@t25)) % 0.35/0.59 (step @p40 :rule reordering :premises (@p39) :args ((or @t24 @t23 @t22 (not @t25)))) % 0.35/0.59 (step @p41 :rule chain_m_resolution :premises (@p40 @p6 @p38 @p31) :args (@t23 (@list false true false) (@list @t15 @t22 @t25))) % 0.35/0.59 (step @p42 :rule false_intro :premises (@p41)) % 0.35/0.59 (step @p43 :rule symm :premises (@p42)) % 0.35/0.59 (step @p44 :rule trans :premises (@p43 @p24 @p9)) % 0.35/0.59 (step @p45 false :rule eq_resolve :premises (@p44 @p7)) % 0.35/0.59 ) % 0.35/0.59 % SZS output end Proof % 0.35/0.59 % cvc5 exiting %------------------------------------------------------------------------------