%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM851+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 : n012.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 0.16s 0.36s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM851+2 : TPTP v9.2.1. Released v4.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 12:29:48 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.36 % SZS status Theorem % 0.16/0.36 % SZS output start Proof % 0.16/0.36 ( % 0.16/0.36 (declare-sort $$unsorted 0) % 0.16/0.36 (declare-const tptp.vskolem2 (-> $$unsorted $$unsorted)) % 0.16/0.36 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.16/0.36 (declare-const tptp.v1 $$unsorted) % 0.16/0.36 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.16/0.36 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.16/0.36 (declare-const tptp.vd470 $$unsorted) % 0.16/0.36 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.36 (declare-const tptp.vd471 $$unsorted) % 0.16/0.36 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.16/0.36 (declare-const tptp.vmul (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.36 (declare-const tptp.vd473 $$unsorted) % 0.16/0.36 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.16/0.36 (declare-const tptp.vd469 $$unsorted) % 0.16/0.36 (define @t1 () (tptp.vplus tptp.vd471 tptp.vd473)) % 0.16/0.36 (define @t2 () (tptp.vmul @t1 tptp.vd469)) % 0.16/0.36 (define @t3 () (@var "Vd446" $$unsorted)) % 0.16/0.36 (define @t4 () (@var "Vd445" $$unsorted)) % 0.16/0.36 (define @t5 () (@var "Vd444" $$unsorted)) % 0.16/0.36 (define @t6 () (@var "Vd434" $$unsorted)) % 0.16/0.36 (define @t7 () (@var "Vd432" $$unsorted)) % 0.16/0.36 (define @t8 () (@var "Vd433" $$unsorted)) % 0.16/0.36 (define @t9 () (forall (@list @t7 @t8 @t6) (= (tptp.vmul @t7 (tptp.vplus @t8 @t6)) (tptp.vplus (tptp.vmul @t7 @t8) (tptp.vmul @t7 @t6))))) % 0.16/0.36 (define @t10 () (@var "Vd418" $$unsorted)) % 0.16/0.36 (define @t11 () (@var "Vd419" $$unsorted)) % 0.16/0.36 (define @t12 () (@var "Vd409" $$unsorted)) % 0.16/0.36 (define @t13 () (@var "Vd408" $$unsorted)) % 0.16/0.36 (define @t14 () (@var "Vd400" $$unsorted)) % 0.16/0.36 (define @t15 () (@var "Vd396" $$unsorted)) % 0.16/0.36 (define @t16 () (@var "Vd397" $$unsorted)) % 0.16/0.36 (define @t17 () (@var "Vd387" $$unsorted)) % 0.16/0.36 (define @t18 () (@var "Vd386" $$unsorted)) % 0.16/0.36 (define @t19 () (@var "Vd376" $$unsorted)) % 0.16/0.36 (define @t20 () (@var "Vd375" $$unsorted)) % 0.16/0.36 (define @t21 () (@var "Vd196" $$unsorted)) % 0.16/0.36 (define @t22 () (@var "Vd193" $$unsorted)) % 0.16/0.36 (define @t23 () (@var "Vd194" $$unsorted)) % 0.16/0.36 (define @t24 () (@var "Vd125" $$unsorted)) % 0.16/0.36 (define @t25 () (@var "Vd120" $$unsorted)) % 0.16/0.36 (define @t26 () (@var "Vd121" $$unsorted)) % 0.16/0.36 (define @t27 () (exists (@list @t24) (= @t26 (tptp.vplus @t25 @t24)))) % 0.16/0.36 (define @t28 () (@var "Vd123" $$unsorted)) % 0.16/0.36 (define @t29 () (exists (@list @t28) (= @t25 (tptp.vplus @t26 @t28)))) % 0.16/0.36 (define @t30 () (= @t25 @t26)) % 0.16/0.36 (define @t31 () (@list @t25 @t26)) % 0.16/0.36 (define @t32 () (not @t27)) % 0.16/0.36 (define @t33 () (not @t30)) % 0.16/0.36 (define @t34 () (not @t29)) % 0.16/0.36 (define @t35 () (@var "Vd105" $$unsorted)) % 0.16/0.36 (define @t36 () (@var "Vd107" $$unsorted)) % 0.16/0.36 (define @t37 () (@var "Vd104" $$unsorted)) % 0.16/0.36 (define @t38 () (@var "Vd93" $$unsorted)) % 0.16/0.36 (define @t39 () (@var "Vd92" $$unsorted)) % 0.16/0.36 (define @t40 () (@var "Vd79" $$unsorted)) % 0.16/0.36 (define @t41 () (@var "Vd78" $$unsorted)) % 0.16/0.36 (define @t42 () (@var "Vd69" $$unsorted)) % 0.16/0.36 (define @t43 () (@var "Vd68" $$unsorted)) % 0.16/0.36 (define @t44 () (@var "Vd59" $$unsorted)) % 0.16/0.36 (define @t45 () (@var "Vd48" $$unsorted)) % 0.16/0.36 (define @t46 () (@var "Vd47" $$unsorted)) % 0.16/0.36 (define @t47 () (@var "Vd46" $$unsorted)) % 0.16/0.36 (define @t48 () (@var "Vd42" $$unsorted)) % 0.16/0.36 (define @t49 () (@var "Vd43" $$unsorted)) % 0.16/0.36 (define @t50 () (@var "Vd24" $$unsorted)) % 0.16/0.36 (define @t51 () (@var "Vd16" $$unsorted)) % 0.16/0.36 (define @t52 () (@var "Vd8" $$unsorted)) % 0.16/0.36 (define @t53 () (@var "Vd7" $$unsorted)) % 0.16/0.36 (define @t54 () (tptp.vplus (tptp.vmul tptp.vd469 tptp.vd471) (tptp.vmul tptp.vd469 tptp.vd473))) % 0.16/0.36 (define @t55 () (= (tptp.vmul tptp.vd469 @t1) @t54)) % 0.16/0.36 (assume @p1 (not (= @t2 (tptp.vplus (tptp.vmul tptp.vd471 tptp.vd469) (tptp.vmul tptp.vd473 tptp.vd469))))) % 0.16/0.36 (assume @p2 (= (tptp.vmul tptp.vd470 tptp.vd469) @t2)) % 0.16/0.36 (assume @p3 (= tptp.vd470 @t1)) % 0.16/0.36 (assume @p4 (tptp.greater tptp.vd470 tptp.vd471)) % 0.16/0.36 (assume @p5 (forall (@list @t5 @t4 @t3) (= (tptp.vmul (tptp.vmul @t5 @t4) @t3) (tptp.vmul @t5 (tptp.vmul @t4 @t3))))) % 0.16/0.36 (assume @p6 @t9) % 0.16/0.36 (assume @p7 (forall (@list @t10 @t11) (= (tptp.vmul @t10 @t11) (tptp.vmul @t11 @t10)))) % 0.16/0.36 (assume @p8 (forall (@list @t13 @t12) (= (tptp.vmul (tptp.vsucc @t13) @t12) (tptp.vplus (tptp.vmul @t13 @t12) @t12)))) % 0.16/0.36 (assume @p9 (forall (@list @t14) (= (tptp.vmul tptp.v1 @t14) @t14))) % 0.16/0.36 (assume @p10 (forall (@list @t15 @t16) (and (= (tptp.vmul @t15 (tptp.vsucc @t16)) (tptp.vplus (tptp.vmul @t15 @t16) @t15)) (= (tptp.vmul @t15 tptp.v1) @t15)))) % 0.16/0.37 (assume @p11 (forall (@list @t18 @t17) (=> (tptp.less @t18 (tptp.vplus @t17 tptp.v1)) (tptp.leq @t18 @t17)))) % 0.16/0.37 (assume @p12 (forall (@list @t20 @t19) (=> (tptp.greater @t20 @t19) (tptp.geq @t20 (tptp.vplus @t19 tptp.v1))))) % 0.16/0.37 (assume @p13 (forall (@list @t22 @t23) (= (tptp.greater @t23 @t22) (exists (@list @t21) (= @t23 (tptp.vplus @t22 @t21)))))) % 0.16/0.37 (assume @p14 (forall @t31 (or @t30 @t29 @t27))) % 0.16/0.37 (assume @p15 (forall @t31 (or @t33 @t32))) % 0.16/0.37 (assume @p16 (forall @t31 (or @t34 @t32))) % 0.16/0.37 (assume @p17 (forall @t31 (or @t33 @t34))) % 0.16/0.37 (assume @p18 (forall (@list @t37 @t35) (=> (not (= @t37 @t35)) (forall (@list @t36) (not (= (tptp.vplus @t36 @t37) (tptp.vplus @t36 @t35))))))) % 0.16/0.37 (assume @p19 (forall (@list @t39 @t38) (not (= @t38 (tptp.vplus @t39 @t38))))) % 0.16/0.37 (assume @p20 (forall (@list @t41 @t40) (= (tptp.vplus @t40 @t41) (tptp.vplus @t41 @t40)))) % 0.16/0.37 (assume @p21 (forall (@list @t43 @t42) (= (tptp.vplus (tptp.vsucc @t43) @t42) (tptp.vsucc (tptp.vplus @t43 @t42))))) % 0.16/0.37 (assume @p22 (forall (@list @t44) (= (tptp.vplus tptp.v1 @t44) (tptp.vsucc @t44)))) % 0.16/0.37 (assume @p23 (forall (@list @t47 @t46 @t45) (= (tptp.vplus (tptp.vplus @t47 @t46) @t45) (tptp.vplus @t47 (tptp.vplus @t46 @t45))))) % 0.16/0.37 (assume @p24 (forall (@list @t48 @t49) (and (= (tptp.vplus @t48 (tptp.vsucc @t49)) (tptp.vsucc (tptp.vplus @t48 @t49))) (= (tptp.vplus @t48 tptp.v1) (tptp.vsucc @t48))))) % 0.16/0.37 (assume @p25 (forall (@list @t50) (=> (not (= @t50 tptp.v1)) (= @t50 (tptp.vsucc (tptp.vskolem2 @t50)))))) % 0.16/0.37 (assume @p26 (forall (@list @t51) (not (= (tptp.vsucc @t51) @t51)))) % 0.16/0.37 (assume @p27 (forall (@list @t53 @t52) (=> (not (= @t53 @t52)) (not (= (tptp.vsucc @t53) (tptp.vsucc @t52)))))) % 0.16/0.37 (assume @p28 true) % 0.16/0.37 (step @p29 :rule false_intro :premises (@p1)) % 0.16/0.37 (step @p30 :rule instantiate :premises (@p7) :args ((@list tptp.vd473 tptp.vd469))) % 0.16/0.37 (step @p31 :rule symm :premises (@p30)) % 0.16/0.37 (step @p32 :rule instantiate :premises (@p7) :args ((@list tptp.vd471 tptp.vd469))) % 0.16/0.37 (step @p33 :rule symm :premises (@p32)) % 0.16/0.37 (step @p34 :rule cong :premises (@p33 @p31) :args (@t54)) % 0.16/0.37 (step @p35 :rule instantiate :premises (@p7) :args ((@list @t1 tptp.vd469))) % 0.16/0.37 (step @p36 :rule symm :premises (@p35)) % 0.16/0.37 (step @p37 :rule cong :premises (@p36 @p34) :args (@t55)) % 0.16/0.37 (step @p38 :rule trans :premises (@p37 @p29)) % 0.16/0.37 (step @p39 :rule false_elim :premises (@p38)) % 0.16/0.37 (assume-push @p46 @t9) % 0.16/0.37 (step @p41 :rule instantiate :premises (@p6) :args ((@list tptp.vd469 tptp.vd471 tptp.vd473))) % 0.16/0.37 (step-pop @p47 :rule scope :premises (@p41)) % 0.16/0.37 (step @p42 :rule process_scope :premises (@p47) :args (@t55)) % 0.16/0.37 (step @p44 :rule implies_elim :premises (@p42)) % 0.16/0.37 (step @p45 false :rule chain_m_resolution :premises (@p44 @p39 @p6) :args (false (@list true false) (@list @t55 @t9))) % 0.16/0.37 ) % 0.16/0.37 % SZS output end Proof % 0.16/0.37 % cvc5 exiting %------------------------------------------------------------------------------