%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM435+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:39:24 AM UTC 2026 % Result : Theorem 0.36s 0.58s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM435+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.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 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:18:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.58 % SZS status Theorem % 0.36/0.58 % SZS output start Proof % 0.36/0.58 ( % 0.36/0.58 (declare-sort $$unsorted 0) % 0.36/0.58 (declare-const tptp.xa $$unsorted) % 0.36/0.58 (declare-const tptp.xb $$unsorted) % 0.36/0.58 (declare-const tptp.xq $$unsorted) % 0.36/0.58 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.xp $$unsorted) % 0.36/0.58 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.36/0.58 (declare-const tptp.xm $$unsorted) % 0.36/0.58 (declare-const tptp.sz10 $$unsorted) % 0.36/0.58 (declare-const tptp.sdteqdtlpzmzozddtrp0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.sz00 $$unsorted) % 0.36/0.58 (declare-const tptp.aDivisorOf0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.58 (declare-const tptp.aInteger0 (-> $$unsorted Bool)) % 0.36/0.58 (define @t1 () (@var "W0" $$unsorted)) % 0.36/0.58 (define @t2 () (tptp.aInteger0 @t1)) % 0.36/0.58 (define @t3 () (@list @t1)) % 0.36/0.58 (define @t4 () (tptp.smndt0 @t1)) % 0.36/0.58 (define @t5 () (@var "W1" $$unsorted)) % 0.36/0.58 (define @t6 () (tptp.sdtpldt0 @t1 @t5)) % 0.36/0.58 (define @t7 () (tptp.aInteger0 @t5)) % 0.36/0.58 (define @t8 () (and @t2 @t7)) % 0.36/0.58 (define @t9 () (@list @t1 @t5)) % 0.36/0.58 (define @t10 () (tptp.sdtasdt0 @t1 @t5)) % 0.36/0.58 (define @t11 () (@var "W2" $$unsorted)) % 0.36/0.58 (define @t12 () (tptp.sdtpldt0 @t5 @t11)) % 0.36/0.58 (define @t13 () (tptp.aInteger0 @t11)) % 0.36/0.58 (define @t14 () (and @t2 @t7 @t13)) % 0.36/0.58 (define @t15 () (@list @t1 @t5 @t11)) % 0.36/0.58 (define @t16 () (tptp.sdtasdt0 @t5 @t11)) % 0.36/0.58 (define @t17 () (= (tptp.sdtasdt0 @t1 @t16) (tptp.sdtasdt0 @t10 @t11))) % 0.36/0.58 (define @t18 () (forall @t15 (=> @t14 @t17))) % 0.36/0.58 (define @t19 () (= @t10 (tptp.sdtasdt0 @t5 @t1))) % 0.36/0.58 (define @t20 () (forall @t9 (=> @t8 @t19))) % 0.36/0.58 (define @t21 () (tptp.sdtasdt0 @t1 @t11)) % 0.36/0.58 (define @t22 () (tptp.smndt0 tptp.sz10)) % 0.36/0.58 (define @t23 () (= @t5 tptp.sz00)) % 0.36/0.58 (define @t24 () (not @t23)) % 0.36/0.58 (define @t25 () (tptp.sdteqdtlpzmzozddtrp0 @t1 @t5 @t11)) % 0.36/0.58 (define @t26 () (not (= @t11 tptp.sz00))) % 0.36/0.58 (define @t27 () (and @t2 @t7 @t13 @t26)) % 0.36/0.58 (define @t28 () (@var "W3" $$unsorted)) % 0.36/0.58 (define @t29 () (tptp.aInteger0 tptp.xq)) % 0.36/0.58 (define @t30 () (tptp.aInteger0 tptp.xp)) % 0.36/0.58 (define @t31 () (tptp.sdtasdt0 tptp.xp tptp.xq)) % 0.36/0.58 (define @t32 () (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb))) % 0.36/0.58 (define @t33 () (tptp.sdtasdt0 @t31 tptp.xm)) % 0.36/0.58 (define @t34 () (tptp.aInteger0 tptp.xm)) % 0.36/0.58 (define @t35 () (tptp.sdtasdt0 tptp.xq (tptp.sdtasdt0 tptp.xp tptp.xm))) % 0.36/0.58 (define @t36 () (= @t32 @t35)) % 0.36/0.58 (define @t37 () (not @t13)) % 0.36/0.58 (define @t38 () (not @t7)) % 0.36/0.58 (define @t39 () (not @t2)) % 0.36/0.58 (define @t40 () (or @t39 @t38 @t37)) % 0.36/0.58 (define @t41 () (tptp.sdtasdt0 tptp.xq tptp.xp)) % 0.36/0.58 (define @t42 () (= @t35 (tptp.sdtasdt0 @t41 tptp.xm))) % 0.36/0.58 (define @t43 () (not @t34)) % 0.36/0.58 (define @t44 () (not @t30)) % 0.36/0.58 (define @t45 () (not @t29)) % 0.36/0.58 (define @t46 () (or @t45 @t44 @t43 @t42)) % 0.36/0.58 (define @t47 () (= @t31 @t41)) % 0.36/0.58 (define @t48 () (or @t44 @t45 @t47)) % 0.36/0.58 (define @t49 () (= @t32 @t33)) % 0.36/0.58 (define @t50 () (and @t49 @t42 @t47)) % 0.36/0.58 (assume @p1 (forall @t3 (=> @t2 true))) % 0.36/0.58 (assume @p2 (tptp.aInteger0 tptp.sz00)) % 0.36/0.58 (assume @p3 (tptp.aInteger0 tptp.sz10)) % 0.36/0.58 (assume @p4 (forall @t3 (=> @t2 (tptp.aInteger0 @t4)))) % 0.36/0.58 (assume @p5 (forall @t9 (=> @t8 (tptp.aInteger0 @t6)))) % 0.36/0.58 (assume @p6 (forall @t9 (=> @t8 (tptp.aInteger0 @t10)))) % 0.36/0.58 (assume @p7 (forall @t15 (=> @t14 (= (tptp.sdtpldt0 @t1 @t12) (tptp.sdtpldt0 @t6 @t11))))) % 0.36/0.58 (assume @p8 (forall @t9 (=> @t8 (= @t6 (tptp.sdtpldt0 @t5 @t1))))) % 0.36/0.58 (assume @p9 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 tptp.sz00) @t1) (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))))) % 0.36/0.58 (assume @p10 (forall @t3 (=> @t2 (and (= (tptp.sdtpldt0 @t1 @t4) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 @t4 @t1)))))) % 0.36/0.58 (assume @p11 @t18) % 0.36/0.58 (assume @p12 @t20) % 0.36/0.58 (assume @p13 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz10) @t1) (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))))) % 0.36/0.58 (assume @p14 (forall @t15 (=> @t14 (and (= (tptp.sdtasdt0 @t1 @t12) (tptp.sdtpldt0 @t10 @t21)) (= (tptp.sdtasdt0 @t6 @t11) (tptp.sdtpldt0 @t21 @t16)))))) % 0.36/0.58 (assume @p15 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1)))))) % 0.36/0.58 (assume @p16 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t22 @t1) @t4) (= @t4 (tptp.sdtasdt0 @t1 @t22)))))) % 0.36/0.58 (assume @p17 (forall @t9 (=> @t8 (=> (= @t10 tptp.sz00) (or (= @t1 tptp.sz00) @t23))))) % 0.36/0.58 (assume @p18 (forall @t3 (=> @t2 (forall (@list @t5) (= (tptp.aDivisorOf0 @t5 @t1) (and @t7 @t24 (exists (@list @t11) (and @t13 (= @t16 @t1))))))))) % 0.36/0.58 (assume @p19 (forall @t15 (=> @t27 (= @t25 (tptp.aDivisorOf0 @t11 (tptp.sdtpldt0 @t1 (tptp.smndt0 @t5))))))) % 0.36/0.58 (assume @p20 (forall @t9 (=> (and @t2 @t7 @t24) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t1 @t5)))) % 0.36/0.58 (assume @p21 (forall @t15 (=> @t27 (=> @t25 (tptp.sdteqdtlpzmzozddtrp0 @t5 @t1 @t11))))) % 0.36/0.58 (assume @p22 (forall (@list @t1 @t5 @t11 @t28) (=> (and @t2 @t7 @t13 @t26 (tptp.aInteger0 @t28)) (=> (and @t25 (tptp.sdteqdtlpzmzozddtrp0 @t5 @t28 @t11)) (tptp.sdteqdtlpzmzozddtrp0 @t1 @t28 @t11))))) % 0.36/0.58 (assume @p23 (and (tptp.aInteger0 tptp.xa) (tptp.aInteger0 tptp.xb) @t30 (not (= tptp.xp tptp.sz00)) @t29 (not (= tptp.xq tptp.sz00)))) % 0.36/0.58 (assume @p24 (and (not (= @t31 tptp.sz00)) (exists @t3 (and @t2 (= (tptp.sdtasdt0 @t31 @t1) @t32))) (tptp.aDivisorOf0 @t31 @t32) (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb @t31))) % 0.36/0.58 (assume @p25 (and @t34 (= @t33 @t32))) % 0.36/0.58 (assume @p26 (not @t36)) % 0.36/0.58 (assume @p27 true) % 0.36/0.58 (step @p28 :rule and_elim :premises (@p25) :args (1)) % 0.36/0.58 (step @p29 :rule symm :premises (@p28)) % 0.36/0.58 (step @p30 :rule aci_norm :args ((= (or @t40 @t17) (or @t39 @t38 @t37 @t17)))) % 0.36/0.58 (step @p31 :rule refl :args (@t17)) % 0.36/0.58 (step @p32 :rule aci_norm :args ((= (or @t39 (or @t38 @t37)) @t40))) % 0.36/0.58 (step @p33 :rule bool-and-de-morgan :args (@t7 @t13 true)) % 0.36/0.58 (step @p34 :rule refl :args (@t39)) % 0.36/0.58 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t39 (not (and @t7 @t13))))) % 0.36/0.58 (step @p36 :rule bool-and-de-morgan :args (@t2 @t7 (and @t13))) % 0.36/0.58 (step @p37 :rule trans :premises (@p36 @p35)) % 0.36/0.58 (step @p38 :rule trans :premises (@p37 @p32)) % 0.36/0.58 (step @p39 :rule nary_cong :premises (@p38 @p31) :args ((or (not @t14) @t17))) % 0.36/0.58 (step @p40 :rule trans :premises (@p39 @p30)) % 0.36/0.58 (step @p41 :rule bool-impl-elim :args (@t14 @t17)) % 0.36/0.58 (step @p42 :rule trans :premises (@p41 @p40)) % 0.36/0.58 (step @p43 :rule cong :premises (@p42) :args (@t18)) % 0.36/0.58 (step @p44 :rule eq_resolve :premises (@p11 @p43)) % 0.36/0.58 (step @p45 :rule instantiate :premises (@p44) :args ((@list tptp.xq tptp.xp tptp.xm))) % 0.36/0.58 (step @p46 :rule and_elim :premises (@p25) :args (0)) % 0.36/0.58 (step @p47 :rule and_elim :premises (@p23) :args (4)) % 0.36/0.58 (step @p48 :rule and_elim :premises (@p23) :args (2)) % 0.36/0.58 (step @p49 :rule cnf_or_pos :args (@t46)) % 0.36/0.58 (step @p50 :rule reordering :premises (@p49) :args ((or @t44 @t45 @t43 @t42 (not @t46)))) % 0.36/0.58 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p47 @p46 @p45) :args (@t42 (@list false false false false) (@list @t30 @t29 @t34 @t46))) % 0.36/0.58 (step @p52 :rule aci_norm :args ((= (or (or @t39 @t38) @t19) (or @t39 @t38 @t19)))) % 0.36/0.58 (step @p53 :rule refl :args (@t19)) % 0.36/0.58 (step @p54 :rule bool-and-de-morgan :args (@t2 @t7 true)) % 0.36/0.58 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or (not @t8) @t19))) % 0.36/0.58 (step @p56 :rule trans :premises (@p55 @p52)) % 0.36/0.58 (step @p57 :rule bool-impl-elim :args (@t8 @t19)) % 0.36/0.58 (step @p58 :rule trans :premises (@p57 @p56)) % 0.36/0.58 (step @p59 :rule cong :premises (@p58) :args (@t20)) % 0.36/0.58 (step @p60 :rule eq_resolve :premises (@p12 @p59)) % 0.36/0.58 (step @p61 :rule instantiate :premises (@p60) :args ((@list tptp.xp tptp.xq))) % 0.36/0.58 (step @p62 :rule cnf_or_pos :args (@t48)) % 0.36/0.58 (step @p63 :rule reordering :premises (@p62) :args ((or @t44 @t45 @t47 (not @t48)))) % 0.36/0.58 (step @p64 :rule chain_m_resolution :premises (@p63 @p48 @p47 @p61) :args (@t47 (@list false false false) (@list @t30 @t29 @t48))) % 0.36/0.58 (assume-push @p81 @t49) % 0.36/0.58 (assume-push @p82 @t42) % 0.36/0.58 (assume-push @p83 @t47) % 0.36/0.58 (step @p68 :rule symm :premises (@p51)) % 0.36/0.58 (step @p69 :rule refl :args (tptp.xm)) % 0.36/0.58 (step @p70 :rule cong :premises (@p64 @p69) :args (@t33)) % 0.36/0.58 (step @p71 :rule trans :premises (@p29 @p70 @p68)) % 0.36/0.58 (step-pop @p84 :rule scope :premises (@p71)) % 0.36/0.58 (step-pop @p85 :rule scope :premises (@p84)) % 0.36/0.58 (step-pop @p86 :rule scope :premises (@p85)) % 0.36/0.58 (step @p72 :rule process_scope :premises (@p86) :args (@t36)) % 0.36/0.58 (step @p76 :rule implies_elim :premises (@p72)) % 0.36/0.58 (step @p77 :rule cnf_and_neg :args (@t50)) % 0.36/0.58 (step @p78 :rule resolution :premises (@p77 @p76) :args (true @t50)) % 0.36/0.58 (step @p79 :rule reordering :premises (@p78) :args ((or @t36 (not @t49) (not @t42) (not @t47)))) % 0.36/0.58 (step @p80 false :rule chain_m_resolution :premises (@p79 @p64 @p51 @p26 @p29) :args (false (@list false false true false) (@list @t47 @t42 @t36 @t49))) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------