%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM848+2 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:40:49 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM848+2 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.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 12:30:24 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.vskolem2 (-> $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.v1 $$unsorted) % 0.31/0.55 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.vd437 $$unsorted) % 0.31/0.55 (declare-const tptp.vmul (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.vd436 $$unsorted) % 0.31/0.55 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.vd439 $$unsorted) % 0.31/0.55 (define @t1 () (tptp.vsucc tptp.vd439)) % 0.31/0.55 (define @t2 () (tptp.vmul tptp.vd436 @t1)) % 0.31/0.55 (define @t3 () (tptp.vmul tptp.vd436 tptp.vd437)) % 0.31/0.55 (define @t4 () (tptp.vmul tptp.vd436 tptp.vd439)) % 0.31/0.55 (define @t5 () (tptp.vplus @t4 tptp.vd436)) % 0.31/0.55 (define @t6 () (tptp.vplus @t3 @t5)) % 0.31/0.55 (define @t7 () (= @t6 (tptp.vplus @t3 @t2))) % 0.31/0.55 (define @t8 () (tptp.vplus @t3 @t4)) % 0.31/0.55 (define @t9 () (tptp.vplus @t8 tptp.vd436)) % 0.31/0.55 (define @t10 () (tptp.vplus tptp.vd437 tptp.vd439)) % 0.31/0.55 (define @t11 () (tptp.vmul tptp.vd436 @t10)) % 0.31/0.55 (define @t12 () (tptp.vplus @t11 tptp.vd436)) % 0.31/0.55 (define @t13 () (tptp.vmul tptp.vd436 (tptp.vsucc @t10))) % 0.31/0.55 (define @t14 () (tptp.vplus @t3 tptp.vd436)) % 0.31/0.55 (define @t15 () (@var "Vd396" $$unsorted)) % 0.31/0.55 (define @t16 () (tptp.vmul @t15 tptp.v1)) % 0.31/0.55 (define @t17 () (@var "Vd397" $$unsorted)) % 0.31/0.55 (define @t18 () (= (tptp.vmul @t15 (tptp.vsucc @t17)) (tptp.vplus (tptp.vmul @t15 @t17) @t15))) % 0.31/0.55 (define @t19 () (and @t18 (= @t16 @t15))) % 0.31/0.55 (define @t20 () (@list @t15 @t17)) % 0.31/0.55 (define @t21 () (forall @t20 @t19)) % 0.31/0.55 (define @t22 () (@var "Vd387" $$unsorted)) % 0.31/0.55 (define @t23 () (@var "Vd386" $$unsorted)) % 0.31/0.55 (define @t24 () (@var "Vd79" $$unsorted)) % 0.31/0.55 (define @t25 () (@var "Vd78" $$unsorted)) % 0.31/0.55 (define @t26 () (@var "Vd69" $$unsorted)) % 0.31/0.55 (define @t27 () (@var "Vd68" $$unsorted)) % 0.31/0.55 (define @t28 () (@var "Vd59" $$unsorted)) % 0.31/0.55 (define @t29 () (@var "Vd48" $$unsorted)) % 0.31/0.55 (define @t30 () (@var "Vd47" $$unsorted)) % 0.31/0.55 (define @t31 () (@var "Vd46" $$unsorted)) % 0.31/0.55 (define @t32 () (@var "Vd42" $$unsorted)) % 0.31/0.55 (define @t33 () (@var "Vd43" $$unsorted)) % 0.31/0.55 (define @t34 () (@var "Vd24" $$unsorted)) % 0.31/0.55 (define @t35 () (@var "BOUND_VARIABLE_7550" $$unsorted)) % 0.31/0.55 (define @t36 () (= @t35 (tptp.vmul @t35 tptp.v1))) % 0.31/0.55 (define @t37 () (@var "BOUND_VARIABLE_7552" $$unsorted)) % 0.31/0.55 (define @t38 () (forall (@list @t35 @t37) @t36)) % 0.31/0.55 (define @t39 () (@var "BOUND_VARIABLE_7539" $$unsorted)) % 0.31/0.55 (define @t40 () (@var "BOUND_VARIABLE_7541" $$unsorted)) % 0.31/0.55 (define @t41 () (forall (@list @t39 @t40) (= (tptp.vmul @t39 (tptp.vsucc @t40)) (tptp.vplus (tptp.vmul @t39 @t40) @t39)))) % 0.31/0.55 (define @t42 () (= @t15 @t16)) % 0.31/0.55 (define @t43 () (forall @t20 @t42)) % 0.31/0.55 (define @t44 () (@list @t15 @t17)) % 0.31/0.55 (define @t45 () (forall @t20 @t18)) % 0.31/0.55 (define @t46 () (and @t45 @t43)) % 0.31/0.55 (define @t47 () (= @t2 @t5)) % 0.31/0.55 (define @t48 () (= @t5 @t2)) % 0.31/0.55 (assume @p1 (not @t7)) % 0.31/0.55 (assume @p2 (= @t9 @t6)) % 0.31/0.55 (assume @p3 (= @t12 @t9)) % 0.31/0.55 (assume @p4 (= @t13 @t12)) % 0.31/0.55 (assume @p5 (= (tptp.vmul tptp.vd436 (tptp.vplus tptp.vd437 @t1)) @t13)) % 0.31/0.55 (assume @p6 (= @t11 @t8)) % 0.31/0.55 (assume @p7 (= @t14 (tptp.vplus @t3 (tptp.vmul tptp.vd436 tptp.v1)))) % 0.31/0.55 (assume @p8 (= (tptp.vmul tptp.vd436 (tptp.vsucc tptp.vd437)) @t14)) % 0.31/0.55 (assume @p9 @t21) % 0.31/0.55 (assume @p10 (forall (@list @t23 @t22) (=> (tptp.less @t23 (tptp.vplus @t22 tptp.v1)) (tptp.leq @t23 @t22)))) % 0.31/0.55 (assume @p11 (forall (@list @t25 @t24) (= (tptp.vplus @t24 @t25) (tptp.vplus @t25 @t24)))) % 0.31/0.55 (assume @p12 (forall (@list @t27 @t26) (= (tptp.vplus (tptp.vsucc @t27) @t26) (tptp.vsucc (tptp.vplus @t27 @t26))))) % 0.31/0.55 (assume @p13 (forall (@list @t28) (= (tptp.vplus tptp.v1 @t28) (tptp.vsucc @t28)))) % 0.31/0.55 (assume @p14 (forall (@list @t31 @t30 @t29) (= (tptp.vplus (tptp.vplus @t31 @t30) @t29) (tptp.vplus @t31 (tptp.vplus @t30 @t29))))) % 0.31/0.55 (assume @p15 (forall (@list @t32 @t33) (and (= (tptp.vplus @t32 (tptp.vsucc @t33)) (tptp.vsucc (tptp.vplus @t32 @t33))) (= (tptp.vplus @t32 tptp.v1) (tptp.vsucc @t32))))) % 0.31/0.55 (assume @p16 (forall (@list @t34) (=> (not (= @t34 tptp.v1)) (= @t34 (tptp.vsucc (tptp.vskolem2 @t34)))))) % 0.31/0.55 (assume @p17 true) % 0.31/0.55 (step @p18 :rule quant-unused-vars :args ((= @t38 (forall (@list @t35) @t36)))) % 0.34/0.55 (step @p19 :rule refl :args (@t41)) % 0.34/0.55 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((and @t41 @t38))) % 0.34/0.55 (step @p21 :rule alpha_equiv :args (@t43 @t44 (@list @t35 @t37))) % 0.34/0.55 (step @p22 :rule alpha_equiv :args (@t45 @t44 (@list @t39 @t40))) % 0.34/0.55 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t46)) % 0.34/0.55 (step @p24 :rule quant-miniscope-and :args ((= (forall @t20 (and @t18 @t42)) @t46))) % 0.34/0.55 (step @p25 :rule trans :premises (@p24 @p23)) % 0.34/0.55 (step @p26 :rule trans :premises (@p25 @p20)) % 0.34/0.55 (step @p27 :rule eq-symm :args (@t16 @t15)) % 0.34/0.55 (step @p28 :rule refl :args (@t18)) % 0.34/0.55 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t19)) % 0.34/0.55 (step @p30 :rule cong :premises (@p29) :args (@t21)) % 0.34/0.55 (step @p31 :rule trans :premises (@p30 @p26)) % 0.34/0.55 (step @p32 :rule eq_resolve :premises (@p9 @p31)) % 0.34/0.55 (step @p33 :rule and_elim :premises (@p32) :args (0)) % 0.34/0.55 (step @p34 :rule eq-symm :args (@t2 @t5)) % 0.34/0.55 (step @p35 :rule cong :premises (@p19 @p34) :args ((=> @t41 @t47))) % 0.34/0.55 (assume-push @p51 @t41) % 0.34/0.55 (step @p37 :rule instantiate :premises (@p33) :args ((@list tptp.vd436 tptp.vd439))) % 0.34/0.55 (step-pop @p52 :rule scope :premises (@p37)) % 0.34/0.55 (step @p38 :rule process_scope :premises (@p52) :args (@t47)) % 0.34/0.55 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 0.34/0.55 (step @p41 :rule implies_elim :premises (@p40)) % 0.34/0.55 (step @p42 :rule chain_m_resolution :premises (@p41 @p33) :args (@t48 (@list false) (@list @t41))) % 0.34/0.55 (assume-push @p53 @t48) % 0.34/0.55 (step @p44 :rule refl :args (@t3)) % 0.34/0.55 (step @p45 :rule cong :premises (@p44 @p42) :args (@t6)) % 0.34/0.55 (step-pop @p54 :rule scope :premises (@p45)) % 0.34/0.55 (step @p46 :rule process_scope :premises (@p54) :args (@t7)) % 0.34/0.55 (step @p48 :rule implies_elim :premises (@p46)) % 0.34/0.55 (step @p49 :rule reordering :premises (@p48) :args ((or @t7 (not @t48)))) % 0.34/0.55 (step @p50 false :rule chain_m_resolution :premises (@p49 @p42 @p1) :args (false (@list false true) (@list @t48 @t7))) % 0.34/0.55 ) % 0.34/0.55 % SZS output end Proof % 0.34/0.55 % cvc5 exiting %------------------------------------------------------------------------------