%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : RNG045+1 : 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 : 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 08:45:29 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : RNG045+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n015.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 14:03:49 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.xy $$unsorted) % 0.38/0.56 (declare-const tptp.xu $$unsorted) % 0.38/0.56 (declare-const tptp.xv $$unsorted) % 0.38/0.56 (declare-const tptp.smndt0 (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.xx $$unsorted) % 0.38/0.56 (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.sz0z00 $$unsorted) % 0.38/0.56 (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.aScalar0 (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.sz00 $$unsorted) % 0.38/0.56 (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "W0" $$unsorted)) % 0.38/0.56 (define @t2 () (tptp.aNaturalNumber0 @t1)) % 0.38/0.56 (define @t3 () (@list @t1)) % 0.38/0.56 (define @t4 () (tptp.szszuzczcdt0 @t1)) % 0.38/0.56 (define @t5 () (@var "W1" $$unsorted)) % 0.38/0.56 (define @t6 () (tptp.szszuzczcdt0 @t5)) % 0.38/0.56 (define @t7 () (tptp.aNaturalNumber0 @t5)) % 0.38/0.56 (define @t8 () (and @t2 @t7)) % 0.38/0.56 (define @t9 () (@list @t1 @t5)) % 0.38/0.56 (define @t10 () (tptp.aScalar0 @t1)) % 0.38/0.56 (define @t11 () (tptp.sdtpldt0 @t1 @t5)) % 0.38/0.56 (define @t12 () (tptp.aScalar0 @t5)) % 0.38/0.56 (define @t13 () (and @t10 @t12)) % 0.38/0.56 (define @t14 () (tptp.sdtasdt0 @t1 @t5)) % 0.38/0.56 (define @t15 () (tptp.smndt0 @t1)) % 0.38/0.56 (define @t16 () (@var "W2" $$unsorted)) % 0.38/0.56 (define @t17 () (tptp.sdtasdt0 @t5 @t16)) % 0.38/0.56 (define @t18 () (tptp.sdtpldt0 @t5 @t16)) % 0.38/0.56 (define @t19 () (tptp.aScalar0 @t16)) % 0.38/0.56 (define @t20 () (and @t10 @t12 @t19)) % 0.38/0.56 (define @t21 () (@list @t1 @t5 @t16)) % 0.38/0.56 (define @t22 () (tptp.sdtasdt0 @t1 @t16)) % 0.38/0.56 (define @t23 () (and (= (tptp.sdtasdt0 @t1 @t18) (tptp.sdtpldt0 @t14 @t22)) (= (tptp.sdtasdt0 @t11 @t16) (tptp.sdtpldt0 @t22 @t17)))) % 0.38/0.56 (define @t24 () (forall @t21 (=> @t20 @t23))) % 0.38/0.56 (define @t25 () (tptp.aScalar0 tptp.xv)) % 0.38/0.56 (define @t26 () (tptp.aScalar0 tptp.xu)) % 0.38/0.56 (define @t27 () (tptp.aScalar0 tptp.xy)) % 0.38/0.56 (define @t28 () (tptp.aScalar0 tptp.xx)) % 0.38/0.56 (define @t29 () (tptp.sdtpldt0 tptp.xu tptp.xv)) % 0.38/0.56 (define @t30 () (tptp.sdtasdt0 tptp.xy @t29)) % 0.38/0.56 (define @t31 () (tptp.sdtasdt0 tptp.xx @t29)) % 0.38/0.56 (define @t32 () (tptp.sdtpldt0 @t31 @t30)) % 0.38/0.56 (define @t33 () (tptp.sdtasdt0 (tptp.sdtpldt0 tptp.xx tptp.xy) @t29)) % 0.38/0.56 (define @t34 () (= @t33 @t32)) % 0.38/0.56 (define @t35 () (tptp.sdtasdt0 tptp.xy tptp.xv)) % 0.38/0.56 (define @t36 () (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xy tptp.xu) @t35)) % 0.38/0.56 (define @t37 () (tptp.sdtasdt0 tptp.xx tptp.xv)) % 0.38/0.56 (define @t38 () (tptp.sdtpldt0 (tptp.sdtasdt0 tptp.xx tptp.xu) @t37)) % 0.38/0.56 (define @t39 () (= @t33 (tptp.sdtpldt0 @t38 @t36))) % 0.38/0.56 (define @t40 () (not @t19)) % 0.38/0.56 (define @t41 () (not @t12)) % 0.38/0.56 (define @t42 () (not @t10)) % 0.38/0.56 (define @t43 () (or @t42 @t41 @t40)) % 0.38/0.56 (define @t44 () (tptp.sdtasdt0 tptp.xu tptp.xv)) % 0.38/0.56 (define @t45 () (= @t30 @t36)) % 0.38/0.56 (define @t46 () (and @t45 (= (tptp.sdtasdt0 (tptp.sdtpldt0 tptp.xy tptp.xu) tptp.xv) (tptp.sdtpldt0 @t35 @t44)))) % 0.38/0.56 (define @t47 () (not @t25)) % 0.38/0.56 (define @t48 () (not @t26)) % 0.38/0.56 (define @t49 () (not @t27)) % 0.38/0.56 (define @t50 () (or @t49 @t48 @t47 @t46)) % 0.38/0.56 (define @t51 () (@list false false false false)) % 0.38/0.56 (define @t52 () (@list false)) % 0.38/0.56 (define @t53 () (= @t31 @t38)) % 0.38/0.56 (define @t54 () (and @t53 (= (tptp.sdtasdt0 (tptp.sdtpldt0 tptp.xx tptp.xu) tptp.xv) (tptp.sdtpldt0 @t37 @t44)))) % 0.38/0.56 (define @t55 () (not @t28)) % 0.38/0.56 (define @t56 () (or @t55 @t48 @t47 @t54)) % 0.38/0.56 (define @t57 () (and @t34 @t45 @t53)) % 0.38/0.56 (assume @p1 (forall @t3 (=> @t2 true))) % 0.38/0.56 (assume @p2 (tptp.aNaturalNumber0 tptp.sz00)) % 0.38/0.56 (assume @p3 (forall @t3 (=> @t2 (and (tptp.aNaturalNumber0 @t4) (not (= @t4 tptp.sz00)))))) % 0.38/0.56 (assume @p4 (forall @t3 (=> (and @t2 (not (= @t1 tptp.sz00))) (exists (@list @t5) (and @t7 (= @t1 @t6)))))) % 0.38/0.56 (assume @p5 (forall @t9 (=> @t8 (=> (= @t4 @t6) (= @t1 @t5))))) % 0.38/0.56 (assume @p6 (forall @t9 (=> @t8 (=> (tptp.iLess0 @t1 @t5) true)))) % 0.38/0.56 (assume @p7 (forall @t3 (=> @t2 (tptp.iLess0 @t1 @t4)))) % 0.38/0.56 (assume @p8 (forall @t3 (=> @t10 true))) % 0.38/0.56 (assume @p9 (tptp.aScalar0 tptp.sz0z00)) % 0.38/0.56 (assume @p10 (forall @t9 (=> @t13 (tptp.aScalar0 @t11)))) % 0.38/0.56 (assume @p11 (forall @t9 (=> @t13 (tptp.aScalar0 @t14)))) % 0.38/0.56 (assume @p12 (forall @t3 (=> @t10 (tptp.aScalar0 @t15)))) % 0.38/0.56 (assume @p13 (forall @t3 (=> @t10 (and (= (tptp.sdtpldt0 @t1 tptp.sz0z00) @t1) (= (tptp.sdtpldt0 tptp.sz0z00 @t1) @t1) (= (tptp.sdtasdt0 @t1 tptp.sz0z00) tptp.sz0z00) (= (tptp.sdtasdt0 tptp.sz0z00 @t1) tptp.sz0z00) (= (tptp.sdtpldt0 @t1 @t15) tptp.sz0z00) (= (tptp.sdtpldt0 @t15 @t1) tptp.sz0z00) (= (tptp.smndt0 @t15) @t1) (= (tptp.smndt0 tptp.sz0z00) tptp.sz0z00))))) % 0.38/0.56 (assume @p14 (forall @t21 (=> @t20 (and (= (tptp.sdtpldt0 @t11 @t16) (tptp.sdtpldt0 @t1 @t18)) (= @t11 (tptp.sdtpldt0 @t5 @t1)) (= (tptp.sdtasdt0 @t14 @t16) (tptp.sdtasdt0 @t1 @t17)) (= @t14 (tptp.sdtasdt0 @t5 @t1)))))) % 0.38/0.56 (assume @p15 @t24) % 0.38/0.56 (assume @p16 (and @t28 @t27 @t26 @t25)) % 0.38/0.56 (assume @p17 @t34) % 0.38/0.56 (assume @p18 (not @t39)) % 0.38/0.56 (assume @p19 true) % 0.38/0.56 (step @p20 :rule aci_norm :args ((= (or @t43 @t23) (or @t42 @t41 @t40 @t23)))) % 0.38/0.56 (step @p21 :rule refl :args (@t23)) % 0.38/0.56 (step @p22 :rule aci_norm :args ((= (or @t42 (or @t41 @t40)) @t43))) % 0.38/0.56 (step @p23 :rule bool-and-de-morgan :args (@t12 @t19 true)) % 0.38/0.56 (step @p24 :rule refl :args (@t42)) % 0.38/0.56 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or @t42 (not (and @t12 @t19))))) % 0.38/0.56 (step @p26 :rule bool-and-de-morgan :args (@t10 @t12 (and @t19))) % 0.38/0.56 (step @p27 :rule trans :premises (@p26 @p25)) % 0.38/0.56 (step @p28 :rule trans :premises (@p27 @p22)) % 0.38/0.56 (step @p29 :rule nary_cong :premises (@p28 @p21) :args ((or (not @t20) @t23))) % 0.38/0.56 (step @p30 :rule trans :premises (@p29 @p20)) % 0.38/0.56 (step @p31 :rule bool-impl-elim :args (@t20 @t23)) % 0.38/0.56 (step @p32 :rule trans :premises (@p31 @p30)) % 0.38/0.56 (step @p33 :rule cong :premises (@p32) :args (@t24)) % 0.38/0.56 (step @p34 :rule eq_resolve :premises (@p15 @p33)) % 0.38/0.56 (step @p35 :rule instantiate :premises (@p34) :args ((@list tptp.xy tptp.xu tptp.xv))) % 0.38/0.56 (step @p36 :rule and_elim :premises (@p16) :args (3)) % 0.38/0.56 (step @p37 :rule and_elim :premises (@p16) :args (2)) % 0.38/0.56 (step @p38 :rule and_elim :premises (@p16) :args (1)) % 0.38/0.56 (step @p39 :rule cnf_or_pos :args (@t50)) % 0.38/0.56 (step @p40 :rule reordering :premises (@p39) :args ((or @t49 @t48 @t47 @t46 (not @t50)))) % 0.38/0.56 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p37 @p36 @p35) :args (@t46 @t51 (@list @t27 @t26 @t25 @t50))) % 0.38/0.56 (step @p42 :rule cnf_and_pos :args (@t46 0)) % 0.38/0.56 (step @p43 :rule reordering :premises (@p42) :args ((or @t45 (not @t46)))) % 0.38/0.56 (step @p44 :rule chain_m_resolution :premises (@p43 @p41) :args (@t45 @t52 (@list @t46))) % 0.38/0.56 (step @p45 :rule instantiate :premises (@p34) :args ((@list tptp.xx tptp.xu tptp.xv))) % 0.38/0.56 (step @p46 :rule and_elim :premises (@p16) :args (0)) % 0.38/0.56 (step @p47 :rule cnf_or_pos :args (@t56)) % 0.38/0.56 (step @p48 :rule reordering :premises (@p47) :args ((or @t55 @t48 @t47 @t54 (not @t56)))) % 0.38/0.56 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p37 @p36 @p45) :args (@t54 @t51 (@list @t28 @t26 @t25 @t56))) % 0.38/0.56 (step @p50 :rule cnf_and_pos :args (@t54 0)) % 0.38/0.56 (step @p51 :rule reordering :premises (@p50) :args ((or @t53 (not @t54)))) % 0.38/0.56 (step @p52 :rule chain_m_resolution :premises (@p51 @p49) :args (@t53 @t52 (@list @t54))) % 0.38/0.56 (assume-push @p67 @t34) % 0.38/0.56 (assume-push @p68 @t45) % 0.38/0.56 (assume-push @p69 @t53) % 0.38/0.56 (step @p56 :rule cong :premises (@p52 @p44) :args (@t32)) % 0.38/0.56 (step @p57 :rule trans :premises (@p17 @p56)) % 0.38/0.56 (step-pop @p70 :rule scope :premises (@p57)) % 0.38/0.56 (step-pop @p71 :rule scope :premises (@p70)) % 0.38/0.56 (step-pop @p72 :rule scope :premises (@p71)) % 0.38/0.56 (step @p58 :rule process_scope :premises (@p72) :args (@t39)) % 0.38/0.56 (step @p62 :rule implies_elim :premises (@p58)) % 0.38/0.56 (step @p63 :rule cnf_and_neg :args (@t57)) % 0.38/0.56 (step @p64 :rule resolution :premises (@p63 @p62) :args (true @t57)) % 0.38/0.56 (step @p65 :rule reordering :premises (@p64) :args ((or @t39 (not @t34) (not @t45) (not @t53)))) % 0.38/0.56 (step @p66 false :rule chain_m_resolution :premises (@p65 @p52 @p44 @p18 @p17) :args (false (@list false false true false) (@list @t53 @t45 @t39 @t34))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------