%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM846+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 : n001.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 08:40:48 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM846+2 : TPTP v9.2.1. Released v4.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 12:30:20 EDT 2026 % 0.17/0.34 % 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 $$unsorted)) % 0.31/0.55 (declare-const tptp.v1 $$unsorted) % 0.31/0.55 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.vd437 $$unsorted) % 0.31/0.55 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.vmul (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.vd439 $$unsorted) % 0.31/0.55 (declare-const tptp.vd436 $$unsorted) % 0.31/0.55 (define @t1 () (tptp.vmul tptp.vd436 tptp.vd437)) % 0.31/0.55 (define @t2 () (tptp.vplus @t1 (tptp.vmul tptp.vd436 tptp.vd439))) % 0.31/0.55 (define @t3 () (tptp.vplus tptp.vd437 tptp.vd439)) % 0.31/0.55 (define @t4 () (tptp.vmul tptp.vd436 @t3)) % 0.31/0.55 (define @t5 () (tptp.vplus @t4 tptp.vd436)) % 0.31/0.55 (define @t6 () (= @t5 (tptp.vplus @t2 tptp.vd436))) % 0.31/0.55 (define @t7 () (tptp.vmul tptp.vd436 (tptp.vsucc @t3))) % 0.31/0.55 (define @t8 () (= @t4 @t2)) % 0.31/0.55 (define @t9 () (tptp.vplus @t1 tptp.vd436)) % 0.31/0.55 (define @t10 () (tptp.vmul tptp.vd436 (tptp.vsucc tptp.vd437))) % 0.31/0.55 (define @t11 () (@var "Vd418" $$unsorted)) % 0.31/0.55 (define @t12 () (@var "Vd419" $$unsorted)) % 0.31/0.55 (define @t13 () (@var "Vd400" $$unsorted)) % 0.31/0.55 (define @t14 () (@var "Vd396" $$unsorted)) % 0.31/0.55 (define @t15 () (@var "Vd397" $$unsorted)) % 0.31/0.55 (define @t16 () (@var "Vd387" $$unsorted)) % 0.31/0.55 (define @t17 () (@var "Vd386" $$unsorted)) % 0.31/0.55 (define @t18 () (@var "Vd376" $$unsorted)) % 0.31/0.55 (define @t19 () (@var "Vd375" $$unsorted)) % 0.31/0.55 (define @t20 () (@var "Vd369" $$unsorted)) % 0.31/0.55 (define @t21 () (@var "Vd79" $$unsorted)) % 0.31/0.55 (define @t22 () (@var "Vd78" $$unsorted)) % 0.31/0.55 (define @t23 () (@var "Vd69" $$unsorted)) % 0.31/0.55 (define @t24 () (@var "Vd68" $$unsorted)) % 0.31/0.55 (define @t25 () (@var "Vd59" $$unsorted)) % 0.31/0.55 (define @t26 () (@var "Vd48" $$unsorted)) % 0.31/0.55 (define @t27 () (@var "Vd47" $$unsorted)) % 0.31/0.55 (define @t28 () (@var "Vd46" $$unsorted)) % 0.31/0.55 (define @t29 () (@var "Vd42" $$unsorted)) % 0.31/0.55 (define @t30 () (@var "Vd43" $$unsorted)) % 0.31/0.55 (define @t31 () (@var "Vd24" $$unsorted)) % 0.31/0.55 (define @t32 () (@var "Vd16" $$unsorted)) % 0.31/0.55 (define @t33 () (@var "Vd8" $$unsorted)) % 0.31/0.55 (define @t34 () (@var "Vd7" $$unsorted)) % 0.31/0.55 (assume @p1 (not @t6)) % 0.31/0.55 (assume @p2 (= @t7 @t5)) % 0.31/0.55 (assume @p3 (= (tptp.vmul tptp.vd436 (tptp.vplus tptp.vd437 (tptp.vsucc tptp.vd439))) @t7)) % 0.31/0.55 (assume @p4 @t8) % 0.31/0.55 (assume @p5 (= @t9 (tptp.vplus @t1 (tptp.vmul tptp.vd436 tptp.v1)))) % 0.31/0.55 (assume @p6 (= @t10 @t9)) % 0.31/0.55 (assume @p7 (= (tptp.vmul tptp.vd436 (tptp.vplus tptp.vd437 tptp.v1)) @t10)) % 0.31/0.55 (assume @p8 (forall (@list @t11 @t12) (= (tptp.vmul @t11 @t12) (tptp.vmul @t12 @t11)))) % 0.31/0.55 (assume @p9 (forall (@list @t13) (= (tptp.vmul tptp.v1 @t13) @t13))) % 0.31/0.55 (assume @p10 (forall (@list @t14 @t15) (and (= (tptp.vmul @t14 (tptp.vsucc @t15)) (tptp.vplus (tptp.vmul @t14 @t15) @t14)) (= (tptp.vmul @t14 tptp.v1) @t14)))) % 0.31/0.55 (assume @p11 (forall (@list @t17 @t16) (=> (tptp.less @t17 (tptp.vplus @t16 tptp.v1)) (tptp.leq @t17 @t16)))) % 0.31/0.55 (assume @p12 (forall (@list @t19 @t18) (=> (tptp.greater @t19 @t18) (tptp.geq @t19 (tptp.vplus @t18 tptp.v1))))) % 0.31/0.55 (assume @p13 (forall (@list @t20) (tptp.geq @t20 tptp.v1))) % 0.31/0.55 (assume @p14 (forall (@list @t22 @t21) (= (tptp.vplus @t21 @t22) (tptp.vplus @t22 @t21)))) % 0.31/0.55 (assume @p15 (forall (@list @t24 @t23) (= (tptp.vplus (tptp.vsucc @t24) @t23) (tptp.vsucc (tptp.vplus @t24 @t23))))) % 0.31/0.55 (assume @p16 (forall (@list @t25) (= (tptp.vplus tptp.v1 @t25) (tptp.vsucc @t25)))) % 0.31/0.55 (assume @p17 (forall (@list @t28 @t27 @t26) (= (tptp.vplus (tptp.vplus @t28 @t27) @t26) (tptp.vplus @t28 (tptp.vplus @t27 @t26))))) % 0.31/0.55 (assume @p18 (forall (@list @t29 @t30) (and (= (tptp.vplus @t29 (tptp.vsucc @t30)) (tptp.vsucc (tptp.vplus @t29 @t30))) (= (tptp.vplus @t29 tptp.v1) (tptp.vsucc @t29))))) % 0.31/0.55 (assume @p19 (forall (@list @t31) (=> (not (= @t31 tptp.v1)) (= @t31 (tptp.vsucc (tptp.vskolem2 @t31)))))) % 0.31/0.55 (assume @p20 (forall (@list @t32) (not (= (tptp.vsucc @t32) @t32)))) % 0.31/0.55 (assume @p21 (forall (@list @t34 @t33) (=> (not (= @t34 @t33)) (not (= (tptp.vsucc @t34) (tptp.vsucc @t33)))))) % 0.31/0.55 (assume @p22 true) % 0.31/0.55 (assume-push @p31 @t8) % 0.31/0.55 (step @p24 :rule refl :args (tptp.vd436)) % 0.31/0.55 (step @p25 :rule cong :premises (@p4 @p24) :args (@t5)) % 0.31/0.55 (step-pop @p32 :rule scope :premises (@p25)) % 0.31/0.55 (step @p26 :rule process_scope :premises (@p32) :args (@t6)) % 0.31/0.55 (step @p28 :rule implies_elim :premises (@p26)) % 0.31/0.55 (step @p29 :rule reordering :premises (@p28) :args ((or @t6 (not @t8)))) % 0.31/0.55 (step @p30 false :rule chain_m_resolution :premises (@p29 @p4 @p1) :args (false (@list false true) (@list @t8 @t6))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------