%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM432+3 : 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 : n021.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 08:39:23 AM UTC 2026 % Result : Theorem 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : NUM432+3 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 11:19:35 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Theorem % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.sz00 $$unsorted) % 0.37/0.59 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.sz10 $$unsorted) % 0.37/0.59 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.xb $$unsorted) % 0.37/0.59 (declare-const tptp.xn $$unsorted) % 0.37/0.59 (declare-const tptp.xm $$unsorted) % 0.37/0.59 (declare-const tptp.xc $$unsorted) % 0.37/0.59 (declare-const tptp.xq $$unsorted) % 0.37/0.59 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.xa $$unsorted) % 0.37/0.59 (define @t1 () (@var "W0" $$unsorted)) % 0.37/0.59 (define @t2 () (tptp.aInteger0 @t1)) % 0.37/0.59 (define @t3 () (@list @t1)) % 0.37/0.59 (define @t4 () (tptp.smndt0 @t1)) % 0.37/0.59 (define @t5 () (@var "W1" $$unsorted)) % 0.37/0.59 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 0.37/0.59 (define @t7 () (tptp.aInteger0 @t6)) % 0.37/0.59 (define @t8 () (tptp.aInteger0 @t5)) % 0.37/0.59 (define @t9 () (and @t2 @t8)) % 0.37/0.59 (define @t10 () (@list @t1 @t5)) % 0.37/0.59 (define @t11 () (forall @t10 (=> @t9 @t7))) % 0.37/0.59 (define @t12 () (tptp.sdtasdt0 @t1 @t5)) % 0.37/0.59 (define @t13 () (@var "W2" $$unsorted)) % 0.37/0.59 (define @t14 () (tptp.sdtpldt0 @t5 @t13)) % 0.37/0.59 (define @t15 () (tptp.aInteger0 @t13)) % 0.37/0.59 (define @t16 () (and @t2 @t8 @t15)) % 0.37/0.59 (define @t17 () (@list @t1 @t5 @t13)) % 0.37/0.59 (define @t18 () (tptp.sdtasdt0 @t5 @t13)) % 0.37/0.59 (define @t19 () (tptp.sdtasdt0 @t1 @t13)) % 0.37/0.59 (define @t20 () (tptp.smndt0 tptp.sz10)) % 0.37/0.59 (define @t21 () (= @t5 tptp.sz00)) % 0.37/0.59 (define @t22 () (not @t21)) % 0.37/0.59 (define @t23 () (tptp.sdteqdtlpzmzozddtrp0 @t1 @t5 @t13)) % 0.37/0.59 (define @t24 () (and @t2 @t8 @t15 (not (= @t13 tptp.sz00)))) % 0.37/0.59 (define @t25 () (tptp.smndt0 tptp.xc)) % 0.37/0.59 (define @t26 () (tptp.sdtpldt0 tptp.xb @t25)) % 0.37/0.59 (define @t27 () (tptp.sdtasdt0 tptp.xq @t1)) % 0.37/0.59 (define @t28 () (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb))) % 0.37/0.59 (define @t29 () (tptp.aInteger0 tptp.xn)) % 0.37/0.59 (define @t30 () (tptp.aInteger0 tptp.xm)) % 0.37/0.59 (define @t31 () (tptp.sdtpldt0 tptp.xa @t25)) % 0.37/0.59 (define @t32 () (tptp.sdtpldt0 tptp.xn tptp.xm)) % 0.37/0.59 (define @t33 () (= (tptp.sdtasdt0 tptp.xq @t32) @t31)) % 0.37/0.59 (define @t34 () (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xc tptp.xq)) % 0.37/0.59 (define @t35 () (tptp.aDivisorOf0 tptp.xq @t31)) % 0.37/0.59 (define @t36 () (= @t27 @t31)) % 0.37/0.59 (define @t37 () (and @t2 @t36)) % 0.37/0.59 (define @t38 () (exists @t3 @t37)) % 0.37/0.59 (define @t39 () (or @t38 @t35 @t34)) % 0.37/0.59 (define @t40 () (not @t39)) % 0.37/0.59 (define @t41 () (forall @t3 (not @t37))) % 0.37/0.59 (define @t42 () (not @t41)) % 0.37/0.59 (define @t43 () (not @t8)) % 0.37/0.59 (define @t44 () (not @t2)) % 0.37/0.59 (define @t45 () (tptp.aInteger0 @t32)) % 0.37/0.59 (define @t46 () (not @t30)) % 0.37/0.59 (define @t47 () (not @t29)) % 0.37/0.59 (define @t48 () (or @t47 @t46 @t45)) % 0.37/0.59 (define @t49 () (@list false false false)) % 0.37/0.59 (define @t50 () (not @t33)) % 0.37/0.59 (define @t51 () (not @t45)) % 0.37/0.59 (define @t52 () (or @t51 @t50)) % 0.37/0.59 (assume @p1 (forall @t3 (=> @t2 true))) % 0.37/0.59 (assume @p2 (tptp.aInteger0 tptp.sz00)) % 0.37/0.59 (assume @p3 (tptp.aInteger0 tptp.sz10)) % 0.37/0.59 (assume @p4 (forall @t3 (=> @t2 (tptp.aInteger0 @t4)))) % 0.37/0.59 (assume @p5 @t11) % 0.37/0.59 (assume @p6 (forall @t10 (=> @t9 (tptp.aInteger0 @t12)))) % 0.37/0.59 (assume @p7 (forall @t17 (=> @t16 (= (tptp.sdtpldt0 @t1 @t14) (tptp.sdtpldt0 @t6 @t13))))) % 0.37/0.59 (assume @p8 (forall @t10 (=> @t9 (= @t6 (tptp.sdtpldt0 @t5 @t1))))) % 0.37/0.59 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.37/0.59 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 0.37/0.59 (assume @p11 (forall @t17 (=> @t16 (= (tptp.sdtasdt0 @t1 @t18) (tptp.sdtasdt0 @t12 @t13))))) % 0.37/0.59 (assume @p12 (forall @t10 (=> @t9 (= @t12 (tptp.sdtasdt0 @t5 @t1))))) % 0.37/0.59 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.37/0.59 (assume @p14 (forall @t17 (=> @t16 (and (= (tptp.sdtasdt0 @t1 @t14) (tptp.sdtpldt0 @t12 @t19)) (= (tptp.sdtasdt0 @t6 @t13) (tptp.sdtpldt0 @t19 @t18)))))) % 0.37/0.59 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.37/0.59 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t20 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t20)))))) % 0.37/0.59 (assume @p17 (forall @t10 (=> @t9 (=> (= @t12 tptp.sz00) (or (= @t1 tptp.sz00) @t21))))) % 0.37/0.59 (assume @p18 (forall @t3 (=> @t2 (forall (@list @t5) (= (tptp.aDivisorOf0 @t5 @t1) (and @t8 @t22 (exists (@list @t13) (and @t15 (= @t18 @t1))))))))) % 0.37/0.59 (assume @p19 (forall @t17 (=> @t24 (= @t23 (tptp.aDivisorOf0 @t13 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t5))))))) % 0.37/0.59 (assume @p20 (forall @t10 (=> (and @t2 @t8 @t22) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t1 @t5)))) % 0.37/0.59 (assume @p21 (forall @t17 (=> @t24 (=> @t23 (tptp.sdteqdtlpzmzozddtrp0 @t5 @t1 @t13))))) % 0.37/0.59 (assume @p22 (and (tptp.aInteger0 tptp.xa) (tptp.aInteger0 tptp.xb) (tptp.aInteger0 tptp.xq) (not (= tptp.xq tptp.sz00)) (tptp.aInteger0 tptp.xc))) % 0.37/0.59 (assume @p23 (and (exists @t3 (and @t2 (= @t27 @t28))) (tptp.aDivisorOf0 tptp.xq @t28) (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xq) (exists @t3 (and @t2 (= @t27 @t26))) (tptp.aDivisorOf0 tptp.xq @t26) (tptp.sdteqdtlpzmzozddtrp0 tptp.xb tptp.xc tptp.xq))) % 0.37/0.59 (assume @p24 (and @t29 (= (tptp.sdtasdt0 tptp.xq tptp.xn) @t28))) % 0.37/0.59 (assume @p25 (and @t30 (= (tptp.sdtasdt0 tptp.xq tptp.xm) @t26))) % 0.37/0.59 (assume @p26 @t33) % 0.37/0.59 (assume @p27 @t40) % 0.37/0.59 (assume @p28 true) % 0.37/0.59 (step @p29 :rule refl :args (@t34)) % 0.37/0.59 (step @p30 :rule refl :args (@t35)) % 0.37/0.59 (step @p31 :rule bool-and-de-morgan :args (@t2 @t36 true)) % 0.37/0.59 (step @p32 :rule cong :premises (@p31) :args (@t41)) % 0.37/0.59 (step @p33 :rule cong :premises (@p32) :args (@t42)) % 0.37/0.59 (step @p34 :rule exists-elim :args ((= @t38 @t42))) % 0.37/0.59 (step @p35 :rule trans :premises (@p34 @p33)) % 0.37/0.59 (step @p36 :rule nary_cong :premises (@p35 @p30 @p29) :args (@t39)) % 0.37/0.59 (step @p37 :rule cong :premises (@p36) :args (@t40)) % 0.37/0.59 (step @p38 :rule eq_resolve :premises (@p27 @p37)) % 0.37/0.59 (step @p39 :rule not_or_elim :premises (@p38) :args (0)) % 0.37/0.59 (step @p40 :rule not_not_elim :premises (@p39)) % 0.37/0.59 (step @p41 :rule instantiate :premises (@p40) :args ((@list @t32))) % 0.37/0.59 (step @p42 :rule aci_norm :args ((= (or (or @t44 @t43) @t7) (or @t44 @t43 @t7)))) % 0.37/0.59 (step @p43 :rule refl :args (@t7)) % 0.37/0.59 (step @p44 :rule bool-and-de-morgan :args (@t2 @t8 true)) % 0.37/0.59 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or (not @t9) @t7))) % 0.37/0.59 (step @p46 :rule trans :premises (@p45 @p42)) % 0.37/0.59 (step @p47 :rule bool-impl-elim :args (@t9 @t7)) % 0.37/0.59 (step @p48 :rule trans :premises (@p47 @p46)) % 0.37/0.59 (step @p49 :rule cong :premises (@p48) :args (@t11)) % 0.37/0.59 (step @p50 :rule eq_resolve :premises (@p5 @p49)) % 0.37/0.59 (step @p51 :rule instantiate :premises (@p50) :args ((@list tptp.xn tptp.xm))) % 0.37/0.59 (step @p52 :rule and_elim :premises (@p25) :args (0)) % 0.37/0.59 (step @p53 :rule and_elim :premises (@p24) :args (0)) % 0.37/0.59 (step @p54 :rule cnf_or_pos :args (@t48)) % 0.37/0.59 (step @p55 :rule reordering :premises (@p54) :args ((or @t47 @t46 @t45 (not @t48)))) % 0.37/0.59 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p52 @p51) :args (@t45 @t49 (@list @t29 @t30 @t48))) % 0.37/0.59 (step @p57 :rule cnf_or_pos :args (@t52)) % 0.37/0.59 (step @p58 :rule reordering :premises (@p57) :args ((or @t50 @t51 (not @t52)))) % 0.37/0.59 (step @p59 false :rule chain_m_resolution :premises (@p58 @p56 @p41 @p26) :args (false @t49 (@list @t45 @t52 @t33))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------