%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM844+2 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.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 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM844+2 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n027.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % 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 12:29:36 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.vskolem2 (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.vmul (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.v1 $$unsorted) % 0.38/0.57 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.vd411 $$unsorted) % 0.38/0.57 (declare-const tptp.vd413 $$unsorted) % 0.38/0.57 (define @t1 () (tptp.vsucc tptp.vd411)) % 0.38/0.57 (define @t2 () (tptp.vplus @t1 tptp.vd413)) % 0.38/0.57 (define @t3 () (tptp.vmul tptp.vd411 tptp.vd413)) % 0.38/0.57 (define @t4 () (tptp.vplus tptp.vd413 @t1)) % 0.38/0.57 (define @t5 () (tptp.vplus @t3 @t4)) % 0.38/0.57 (define @t6 () (= @t5 (tptp.vplus @t3 @t2))) % 0.38/0.57 (define @t7 () (tptp.vplus @t3 tptp.vd413)) % 0.38/0.57 (define @t8 () (tptp.vplus @t7 @t1)) % 0.38/0.57 (define @t9 () (tptp.vmul @t1 tptp.vd413)) % 0.38/0.57 (define @t10 () (tptp.vplus @t9 @t1)) % 0.38/0.57 (define @t11 () (tptp.vmul tptp.vd411 tptp.v1)) % 0.38/0.57 (define @t12 () (tptp.vsucc @t11)) % 0.38/0.57 (define @t13 () (@var "Vd400" $$unsorted)) % 0.38/0.57 (define @t14 () (@var "Vd396" $$unsorted)) % 0.38/0.57 (define @t15 () (@var "Vd397" $$unsorted)) % 0.38/0.57 (define @t16 () (@var "Vd387" $$unsorted)) % 0.38/0.57 (define @t17 () (@var "Vd386" $$unsorted)) % 0.38/0.57 (define @t18 () (@var "Vd376" $$unsorted)) % 0.38/0.57 (define @t19 () (@var "Vd375" $$unsorted)) % 0.38/0.57 (define @t20 () (@var "Vd79" $$unsorted)) % 0.38/0.57 (define @t21 () (@var "Vd78" $$unsorted)) % 0.38/0.57 (define @t22 () (@var "Vd69" $$unsorted)) % 0.38/0.57 (define @t23 () (@var "Vd68" $$unsorted)) % 0.38/0.57 (define @t24 () (@var "Vd59" $$unsorted)) % 0.38/0.57 (define @t25 () (@var "Vd48" $$unsorted)) % 0.38/0.57 (define @t26 () (@var "Vd47" $$unsorted)) % 0.38/0.57 (define @t27 () (@var "Vd46" $$unsorted)) % 0.38/0.57 (define @t28 () (@var "Vd42" $$unsorted)) % 0.38/0.57 (define @t29 () (@var "Vd43" $$unsorted)) % 0.38/0.57 (define @t30 () (@var "Vd24" $$unsorted)) % 0.38/0.57 (define @t31 () (@var "Vd16" $$unsorted)) % 0.38/0.57 (define @t32 () (@var "Vd8" $$unsorted)) % 0.38/0.57 (define @t33 () (@var "Vd7" $$unsorted)) % 0.38/0.57 (define @t34 () (= @t4 @t2)) % 0.38/0.57 (assume @p1 (not @t6)) % 0.38/0.57 (assume @p2 (= @t8 @t5)) % 0.38/0.57 (assume @p3 (= @t10 @t8)) % 0.38/0.57 (assume @p4 (= (tptp.vmul @t1 (tptp.vsucc tptp.vd413)) @t10)) % 0.38/0.57 (assume @p5 (= @t9 @t7)) % 0.38/0.57 (assume @p6 (= @t12 (tptp.vplus @t11 tptp.v1))) % 0.38/0.57 (assume @p7 (= @t1 @t12)) % 0.38/0.57 (assume @p8 (= (tptp.vmul @t1 tptp.v1) @t1)) % 0.38/0.57 (assume @p9 (forall (@list @t13) (= (tptp.vmul tptp.v1 @t13) @t13))) % 0.38/0.57 (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)))) % 0.38/0.57 (assume @p11 (forall (@list @t17 @t16) (=> (tptp.less @t17 (tptp.vplus @t16 tptp.v1)) (tptp.leq @t17 @t16)))) % 0.38/0.57 (assume @p12 (forall (@list @t19 @t18) (=> (tptp.greater @t19 @t18) (tptp.geq @t19 (tptp.vplus @t18 tptp.v1))))) % 0.38/0.57 (assume @p13 (forall (@list @t21 @t20) (= (tptp.vplus @t20 @t21) (tptp.vplus @t21 @t20)))) % 0.38/0.57 (assume @p14 (forall (@list @t23 @t22) (= (tptp.vplus (tptp.vsucc @t23) @t22) (tptp.vsucc (tptp.vplus @t23 @t22))))) % 0.38/0.57 (assume @p15 (forall (@list @t24) (= (tptp.vplus tptp.v1 @t24) (tptp.vsucc @t24)))) % 0.38/0.57 (assume @p16 (forall (@list @t27 @t26 @t25) (= (tptp.vplus (tptp.vplus @t27 @t26) @t25) (tptp.vplus @t27 (tptp.vplus @t26 @t25))))) % 0.38/0.57 (assume @p17 (forall (@list @t28 @t29) (and (= (tptp.vplus @t28 (tptp.vsucc @t29)) (tptp.vsucc (tptp.vplus @t28 @t29))) (= (tptp.vplus @t28 tptp.v1) (tptp.vsucc @t28))))) % 0.38/0.57 (assume @p18 (forall (@list @t30) (=> (not (= @t30 tptp.v1)) (= @t30 (tptp.vsucc (tptp.vskolem2 @t30)))))) % 0.38/0.57 (assume @p19 (forall (@list @t31) (not (= (tptp.vsucc @t31) @t31)))) % 0.38/0.57 (assume @p20 (forall (@list @t33 @t32) (=> (not (= @t33 @t32)) (not (= (tptp.vsucc @t33) (tptp.vsucc @t32)))))) % 0.38/0.57 (assume @p21 true) % 0.38/0.57 (step @p22 :rule instantiate :premises (@p13) :args ((@list @t1 tptp.vd413))) % 0.38/0.57 (assume-push @p31 @t34) % 0.38/0.57 (step @p24 :rule refl :args (@t3)) % 0.38/0.57 (step @p25 :rule cong :premises (@p24 @p22) :args (@t5)) % 0.38/0.57 (step-pop @p32 :rule scope :premises (@p25)) % 0.38/0.57 (step @p26 :rule process_scope :premises (@p32) :args (@t6)) % 0.38/0.57 (step @p28 :rule implies_elim :premises (@p26)) % 0.38/0.57 (step @p29 :rule reordering :premises (@p28) :args ((or @t6 (not @t34)))) % 0.38/0.57 (step @p30 false :rule chain_m_resolution :premises (@p29 @p22 @p1) :args (false (@list false true) (@list @t34 @t6))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------