%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM458+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:39:28 AM UTC 2026 % Result : Theorem 0.15s 0.37s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM458+2 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 11:21:33 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.37 % SZS status Theorem % 0.15/0.37 % SZS output start Proof % 0.15/0.37 ( % 0.15/0.37 (declare-sort $$unsorted 0) % 0.15/0.37 (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.sz10 $$unsorted) % 0.15/0.37 (declare-const tptp.sz00 $$unsorted) % 0.15/0.37 (declare-const tptp.xm $$unsorted) % 0.15/0.37 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.15/0.37 (define @t1 () (@var "W0" $$unsorted)) % 0.15/0.37 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.15/0.37 (define @t3 () (@list @t1)) % 0.15/0.37 (define @t4 () (tptp.aNaturalNumber0 tptp.sz00)) % 0.15/0.37 (define @t5 () (@var "W1" $$unsorted)) % 0.15/0.37 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 0.15/0.37 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.15/0.37 (define @t8 () (and @t2 @t7)) % 0.15/0.37 (define @t9 () (@list @t1 @t5)) % 0.15/0.37 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 0.15/0.37 (define @t11 () (tptp.sdtpldt0 @t5 @t1)) % 0.15/0.37 (define @t12 () (@var "W2" $$unsorted)) % 0.15/0.37 (define @t13 () (tptp.sdtpldt0 @t5 @t12)) % 0.15/0.37 (define @t14 () (tptp.aNaturalNumber0 @t12)) % 0.15/0.37 (define @t15 () (and @t2 @t7 @t14)) % 0.15/0.37 (define @t16 () (@list @t1 @t5 @t12)) % 0.15/0.37 (define @t17 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1))) % 0.15/0.37 (define @t18 () (tptp.sdtpldt0 @t1 tptp.sz00)) % 0.15/0.37 (define @t19 () (and (= @t18 @t1) @t17)) % 0.15/0.37 (define @t20 () (=> @t2 @t19)) % 0.15/0.37 (define @t21 () (forall @t3 @t20)) % 0.15/0.37 (define @t22 () (tptp.sdtasdt0 @t5 @t1)) % 0.15/0.37 (define @t23 () (tptp.sdtasdt0 @t12 @t1)) % 0.15/0.37 (define @t24 () (tptp.sdtasdt0 @t1 @t12)) % 0.15/0.37 (define @t25 () (= @t5 @t12)) % 0.15/0.37 (define @t26 () (tptp.sdtpldt0 @t1 @t12)) % 0.15/0.37 (define @t27 () (= @t1 tptp.sz00)) % 0.15/0.37 (define @t28 () (= @t5 tptp.sz00)) % 0.15/0.37 (define @t29 () (and @t14 (= @t26 @t5))) % 0.15/0.37 (define @t30 () (@list @t12)) % 0.15/0.37 (define @t31 () (tptp.sdtlseqdt0 @t1 @t5)) % 0.15/0.37 (define @t32 () (tptp.aNaturalNumber0 tptp.xm)) % 0.15/0.37 (define @t33 () (tptp.sdtlseqdt0 tptp.xm tptp.xm)) % 0.15/0.37 (define @t34 () (tptp.sdtpldt0 tptp.xm @t1)) % 0.15/0.37 (define @t35 () (and @t2 (= @t34 tptp.xm))) % 0.15/0.37 (define @t36 () (exists @t3 @t35)) % 0.15/0.37 (define @t37 () (or @t36 @t33)) % 0.15/0.37 (define @t38 () (not @t37)) % 0.15/0.37 (define @t39 () (and (= @t1 @t18) @t17)) % 0.15/0.37 (define @t40 () (= tptp.xm (tptp.sdtpldt0 tptp.xm tptp.sz00))) % 0.15/0.37 (define @t41 () (and @t40 (= tptp.xm (tptp.sdtpldt0 tptp.sz00 tptp.xm)))) % 0.15/0.37 (define @t42 () (not @t32)) % 0.15/0.37 (define @t43 () (or @t42 @t41)) % 0.15/0.37 (define @t44 () (@list false false)) % 0.15/0.37 (define @t45 () (= tptp.xm @t34)) % 0.15/0.37 (define @t46 () (and @t2 @t45)) % 0.15/0.37 (define @t47 () (forall @t3 (not @t46))) % 0.15/0.37 (define @t48 () (not @t47)) % 0.15/0.37 (define @t49 () (not @t40)) % 0.15/0.37 (define @t50 () (not @t4)) % 0.15/0.37 (define @t51 () (or @t50 @t49)) % 0.15/0.37 (assume @p1 (forall @t3 (=> @t2 true))) % 0.15/0.37 (assume @p2 @t4) % 0.15/0.37 (assume @p3 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00)))) % 0.15/0.37 (assume @p4 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t6)))) % 0.15/0.37 (assume @p5 (forall @t9 (=> @t8 (tptp.aNaturalNumber0 @t10)))) % 0.15/0.37 (assume @p6 (forall @t9 (=> @t8 (= @t6 @t11)))) % 0.15/0.37 (assume @p7 (forall @t16 (=> @t15 (= (tptp.sdtpldt0 @t6 @t12) (tptp.sdtpldt0 @t1 @t13))))) % 0.15/0.37 (assume @p8 @t21) % 0.15/0.37 (assume @p9 (forall @t9 (=> @t8 (= @t10 @t22)))) % 0.15/0.37 (assume @p10 (forall @t16 (=> @t15 (= (tptp.sdtasdt0 @t10 @t12) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t5 @t12)))))) % 0.15/0.37 (assume @p11 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.15/0.37 (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.15/0.37 (assume @p13 (forall @t16 (=> @t15 (and (= (tptp.sdtasdt0 @t1 @t13) (tptp.sdtpldt0 @t10 @t24)) (= (tptp.sdtasdt0 @t13 @t1) (tptp.sdtpldt0 @t22 @t23)))))) % 0.15/0.37 (assume @p14 (forall @t16 (=> @t15 (=> (or (= @t6 @t26) (= @t11 (tptp.sdtpldt0 @t12 @t1))) @t25)))) % 0.15/0.37 (assume @p15 (forall @t3 (=> @t2 (=> (not @t27) (forall (@list @t5 @t12) (=> (and @t7 @t14) (=> (or (= @t10 @t24) (= @t22 @t23)) @t25))))))) % 0.15/0.37 (assume @p16 (forall @t9 (=> @t8 (=> (= @t6 tptp.sz00) (and @t27 @t28))))) % 0.15/0.37 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or @t27 @t28))))) % 0.15/0.37 (assume @p18 (forall @t9 (=> @t8 (= @t31 (exists @t30 @t29))))) % 0.15/0.37 (assume @p19 (forall @t9 (=> @t8 (=> @t31 (forall @t30 (= (= @t12 (tptp.sdtmndt0 @t5 @t1)) @t29)))))) % 0.15/0.37 (assume @p20 @t32) % 0.15/0.37 (assume @p21 @t38) % 0.15/0.37 (assume @p22 true) % 0.15/0.37 (step @p23 :rule bool-impl-elim :args (@t2 @t39)) % 0.15/0.37 (step @p24 :rule cong :premises (@p23) :args ((forall @t3 (=> @t2 @t39)))) % 0.15/0.37 (step @p25 :rule refl :args (@t17)) % 0.15/0.37 (step @p26 :rule eq-symm :args (@t18 @t1)) % 0.15/0.37 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t19)) % 0.15/0.37 (step @p28 :rule refl :args (@t2)) % 0.15/0.37 (step @p29 :rule cong :premises (@p28 @p27) :args (@t20)) % 0.15/0.37 (step @p30 :rule cong :premises (@p29) :args (@t21)) % 0.15/0.37 (step @p31 :rule trans :premises (@p30 @p24)) % 0.15/0.37 (step @p32 :rule eq_resolve :premises (@p8 @p31)) % 0.15/0.37 (step @p33 :rule instantiate :premises (@p32) :args ((@list tptp.xm))) % 0.15/0.37 (step @p34 :rule cnf_or_pos :args (@t43)) % 0.15/0.37 (step @p35 :rule reordering :premises (@p34) :args ((or @t42 @t41 (not @t43)))) % 0.15/0.37 (step @p36 :rule chain_m_resolution :premises (@p35 @p20 @p33) :args (@t41 @t44 (@list @t32 @t43))) % 0.15/0.37 (step @p37 :rule refl :args (@t33)) % 0.15/0.37 (step @p38 :rule bool-and-de-morgan :args (@t2 @t45 true)) % 0.15/0.37 (step @p39 :rule cong :premises (@p38) :args (@t47)) % 0.15/0.37 (step @p40 :rule cong :premises (@p39) :args (@t48)) % 0.15/0.37 (step @p41 :rule exists-elim :args ((= (exists @t3 @t46) @t48))) % 0.15/0.37 (step @p42 :rule trans :premises (@p41 @p40)) % 0.15/0.37 (step @p43 :rule eq-symm :args (@t34 tptp.xm)) % 0.15/0.37 (step @p44 :rule nary_cong :premises (@p28 @p43) :args (@t35)) % 0.15/0.37 (step @p45 :rule cong :premises (@p44) :args (@t36)) % 0.15/0.37 (step @p46 :rule trans :premises (@p45 @p42)) % 0.15/0.37 (step @p47 :rule nary_cong :premises (@p46 @p37) :args (@t37)) % 0.15/0.37 (step @p48 :rule cong :premises (@p47) :args (@t38)) % 0.15/0.37 (step @p49 :rule eq_resolve :premises (@p21 @p48)) % 0.15/0.37 (step @p50 :rule not_or_elim :premises (@p49) :args (0)) % 0.15/0.37 (step @p51 :rule not_not_elim :premises (@p50)) % 0.15/0.37 (step @p52 :rule instantiate :premises (@p51) :args ((@list tptp.sz00))) % 0.15/0.37 (step @p53 :rule cnf_or_pos :args (@t51)) % 0.15/0.37 (step @p54 :rule reordering :premises (@p53) :args ((or @t50 @t49 (not @t51)))) % 0.15/0.37 (step @p55 :rule chain_m_resolution :premises (@p54 @p2 @p52) :args (@t49 @t44 (@list @t4 @t51))) % 0.15/0.37 (step @p56 :rule cnf_and_pos :args (@t41 0)) % 0.15/0.37 (step @p57 :rule reordering :premises (@p56) :args ((or @t40 (not @t41)))) % 0.15/0.37 (step @p58 false :rule chain_m_resolution :premises (@p57 @p55 @p36) :args (false (@list true false) (@list @t40 @t41))) % 0.15/0.37 ) % 0.15/0.37 % SZS output end Proof % 0.15/0.37 % cvc5 exiting %------------------------------------------------------------------------------