%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM838+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 : n013.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 08:40:46 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM838+2 : TPTP v9.2.1. Released v4.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n013.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 12:29:00 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.v1 $$unsorted) % 0.39/0.58 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.vd301 $$unsorted) % 0.39/0.58 (declare-const tptp.vskolem7 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.vd302 $$unsorted) % 0.39/0.58 (declare-const tptp.vd303 $$unsorted) % 0.39/0.58 (define @t1 () (tptp.greater (tptp.vplus tptp.vd301 tptp.vd303) (tptp.vplus tptp.vd302 tptp.vd303))) % 0.39/0.58 (define @t2 () (tptp.greater tptp.vd301 tptp.vd302)) % 0.39/0.58 (define @t3 () (@var "Vd310" $$unsorted)) % 0.39/0.58 (define @t4 () (@var "Vd323" $$unsorted)) % 0.39/0.58 (define @t5 () (tptp.vplus @t4 @t3)) % 0.39/0.58 (define @t6 () (@var "Vd322" $$unsorted)) % 0.39/0.58 (define @t7 () (tptp.vplus @t6 @t3)) % 0.39/0.58 (define @t8 () (tptp.less @t6 @t4)) % 0.39/0.58 (define @t9 () (@list @t3 @t6 @t4)) % 0.39/0.58 (define @t10 () (@var "Vd319" $$unsorted)) % 0.39/0.58 (define @t11 () (@var "Vd318" $$unsorted)) % 0.39/0.58 (define @t12 () (@var "Vd312" $$unsorted)) % 0.39/0.58 (define @t13 () (tptp.vplus @t12 @t3)) % 0.39/0.58 (define @t14 () (@var "Vd311" $$unsorted)) % 0.39/0.58 (define @t15 () (tptp.vplus @t14 @t3)) % 0.39/0.58 (define @t16 () (tptp.greater @t15 @t13)) % 0.39/0.58 (define @t17 () (tptp.greater @t14 @t12)) % 0.39/0.58 (define @t18 () (@list @t3 @t14 @t12)) % 0.39/0.58 (define @t19 () (forall @t18 (=> @t17 @t16))) % 0.39/0.58 (define @t20 () (tptp.vskolem7 @t14 @t12)) % 0.39/0.58 (define @t21 () (tptp.vplus @t20 @t13)) % 0.39/0.58 (define @t22 () (tptp.vplus (tptp.vplus @t20 @t12) @t3)) % 0.39/0.58 (define @t23 () (tptp.vplus @t12 @t20)) % 0.39/0.58 (define @t24 () (tptp.vplus @t23 @t3)) % 0.39/0.58 (define @t25 () (@var "Vd295" $$unsorted)) % 0.39/0.58 (define @t26 () (@var "Vd296" $$unsorted)) % 0.39/0.58 (define @t27 () (@var "Vd292" $$unsorted)) % 0.39/0.58 (define @t28 () (@var "Vd289" $$unsorted)) % 0.39/0.58 (define @t29 () (@var "Vd290" $$unsorted)) % 0.39/0.58 (define @t30 () (@var "Vd226" $$unsorted)) % 0.39/0.58 (define @t31 () (@var "Vd227" $$unsorted)) % 0.39/0.58 (define @t32 () (@var "Vd208" $$unsorted)) % 0.39/0.58 (define @t33 () (@var "Vd209" $$unsorted)) % 0.39/0.58 (define @t34 () (@var "Vd204" $$unsorted)) % 0.39/0.58 (define @t35 () (@var "Vd203" $$unsorted)) % 0.39/0.58 (define @t36 () (tptp.less @t35 @t34)) % 0.39/0.58 (define @t37 () (tptp.greater @t35 @t34)) % 0.39/0.58 (define @t38 () (= @t35 @t34)) % 0.39/0.58 (define @t39 () (@list @t35 @t34)) % 0.39/0.58 (define @t40 () (not @t36)) % 0.39/0.58 (define @t41 () (not @t38)) % 0.39/0.58 (define @t42 () (not @t37)) % 0.39/0.58 (define @t43 () (@var "Vd201" $$unsorted)) % 0.39/0.58 (define @t44 () (@var "Vd199" $$unsorted)) % 0.39/0.58 (define @t45 () (@var "Vd198" $$unsorted)) % 0.39/0.58 (define @t46 () (@var "Vd196" $$unsorted)) % 0.39/0.58 (define @t47 () (@var "Vd193" $$unsorted)) % 0.39/0.58 (define @t48 () (@var "Vd194" $$unsorted)) % 0.39/0.58 (define @t49 () (@var "Vd125" $$unsorted)) % 0.39/0.58 (define @t50 () (@var "Vd120" $$unsorted)) % 0.39/0.58 (define @t51 () (@var "Vd121" $$unsorted)) % 0.39/0.58 (define @t52 () (exists (@list @t49) (= @t51 (tptp.vplus @t50 @t49)))) % 0.39/0.58 (define @t53 () (@var "Vd123" $$unsorted)) % 0.39/0.58 (define @t54 () (exists (@list @t53) (= @t50 (tptp.vplus @t51 @t53)))) % 0.39/0.58 (define @t55 () (= @t50 @t51)) % 0.39/0.58 (define @t56 () (@list @t50 @t51)) % 0.39/0.58 (define @t57 () (not @t52)) % 0.39/0.58 (define @t58 () (not @t55)) % 0.39/0.58 (define @t59 () (not @t54)) % 0.39/0.58 (define @t60 () (@var "Vd79" $$unsorted)) % 0.39/0.58 (define @t61 () (@var "Vd78" $$unsorted)) % 0.39/0.58 (define @t62 () (@var "Vd69" $$unsorted)) % 0.39/0.58 (define @t63 () (@var "Vd68" $$unsorted)) % 0.39/0.58 (define @t64 () (@var "Vd48" $$unsorted)) % 0.39/0.58 (define @t65 () (@var "Vd47" $$unsorted)) % 0.39/0.58 (define @t66 () (@var "Vd46" $$unsorted)) % 0.39/0.58 (define @t67 () (@var "Vd42" $$unsorted)) % 0.39/0.58 (define @t68 () (@var "Vd43" $$unsorted)) % 0.39/0.58 (define @t69 () (not @t2)) % 0.39/0.58 (define @t70 () (or @t69 @t1)) % 0.39/0.58 (define @t71 () (not @t70)) % 0.39/0.58 (define @t72 () (@list true false)) % 0.39/0.58 (define @t73 () (forall @t18 (or (not @t17) @t16))) % 0.39/0.58 (assume @p1 (not @t1)) % 0.39/0.58 (assume @p2 @t2) % 0.39/0.58 (assume @p3 (forall @t9 (=> @t8 (tptp.less @t7 @t5)))) % 0.39/0.58 (assume @p4 (forall @t9 (=> @t8 (tptp.greater @t5 @t7)))) % 0.39/0.58 (assume @p5 (forall @t9 (=> @t8 (tptp.greater @t4 @t6)))) % 0.39/0.58 (assume @p6 (forall (@list @t3 @t11 @t10) (=> (= @t11 @t10) (= (tptp.vplus @t11 @t3) (tptp.vplus @t10 @t3))))) % 0.39/0.58 (assume @p7 @t19) % 0.39/0.58 (assume @p8 (forall @t18 (=> @t17 (= @t21 (tptp.vplus @t13 @t20))))) % 0.39/0.58 (assume @p9 (forall @t18 (=> @t17 (= @t22 @t21)))) % 0.39/0.58 (assume @p10 (forall @t18 (=> @t17 (= @t24 @t22)))) % 0.39/0.58 (assume @p11 (forall @t18 (=> @t17 (= @t15 @t24)))) % 0.39/0.58 (assume @p12 (forall @t18 (=> @t17 (= @t14 @t23)))) % 0.39/0.58 (assume @p13 (forall (@list @t25 @t26) (tptp.greater (tptp.vplus @t25 @t26) @t25))) % 0.39/0.58 (assume @p14 (forall (@list @t28 @t29 @t27) (=> (and (tptp.leq @t29 @t27) (tptp.leq @t28 @t29)) (tptp.leq @t28 @t27)))) % 0.39/0.58 (assume @p15 (forall (@list @t30 @t31) (=> (tptp.less @t30 @t31) (tptp.greater @t31 @t30)))) % 0.39/0.58 (assume @p16 (forall (@list @t32 @t33) (=> (tptp.greater @t32 @t33) (tptp.less @t33 @t32)))) % 0.39/0.58 (assume @p17 (forall @t39 (or @t38 @t37 @t36))) % 0.39/0.58 (assume @p18 (forall @t39 (or @t41 @t40))) % 0.39/0.58 (assume @p19 (forall @t39 (or @t42 @t40))) % 0.39/0.58 (assume @p20 (forall @t39 (or @t41 @t42))) % 0.39/0.58 (assume @p21 (forall (@list @t45 @t44) (= (tptp.less @t44 @t45) (exists (@list @t43) (= @t45 (tptp.vplus @t44 @t43)))))) % 0.39/0.58 (assume @p22 (forall (@list @t47 @t48) (= (tptp.greater @t48 @t47) (exists (@list @t46) (= @t48 (tptp.vplus @t47 @t46)))))) % 0.39/0.58 (assume @p23 (forall @t56 (or @t55 @t54 @t52))) % 0.39/0.58 (assume @p24 (forall @t56 (or @t58 @t57))) % 0.39/0.58 (assume @p25 (forall @t56 (or @t59 @t57))) % 0.39/0.58 (assume @p26 (forall @t56 (or @t58 @t59))) % 0.39/0.58 (assume @p27 (forall (@list @t61 @t60) (= (tptp.vplus @t60 @t61) (tptp.vplus @t61 @t60)))) % 0.39/0.58 (assume @p28 (forall (@list @t63 @t62) (= (tptp.vplus (tptp.vsucc @t63) @t62) (tptp.vsucc (tptp.vplus @t63 @t62))))) % 0.39/0.58 (assume @p29 (forall (@list @t66 @t65 @t64) (= (tptp.vplus (tptp.vplus @t66 @t65) @t64) (tptp.vplus @t66 (tptp.vplus @t65 @t64))))) % 0.39/0.58 (assume @p30 (forall (@list @t67 @t68) (and (= (tptp.vplus @t67 (tptp.vsucc @t68)) (tptp.vsucc (tptp.vplus @t67 @t68))) (= (tptp.vplus @t67 tptp.v1) (tptp.vsucc @t67))))) % 0.39/0.58 (assume @p31 true) % 0.39/0.58 (step @p32 :rule bool-impl-elim :args (@t17 @t16)) % 0.39/0.58 (step @p33 :rule cong :premises (@p32) :args (@t19)) % 0.39/0.58 (step @p34 :rule eq_resolve :premises (@p7 @p33)) % 0.39/0.58 (step @p35 :rule cnf_or_pos :args (@t70)) % 0.39/0.58 (step @p36 :rule reordering :premises (@p35) :args ((or @t1 @t69 @t71))) % 0.39/0.58 (step @p37 :rule chain_m_resolution :premises (@p36 @p1 @p2) :args (@t71 @t72 (@list @t1 @t2))) % 0.39/0.58 (assume-push @p44 @t73) % 0.39/0.58 (step @p39 :rule instantiate :premises (@p34) :args ((@list tptp.vd303 tptp.vd301 tptp.vd302))) % 0.39/0.58 (step-pop @p45 :rule scope :premises (@p39)) % 0.39/0.58 (step @p40 :rule process_scope :premises (@p45) :args (@t70)) % 0.39/0.58 (step @p42 :rule implies_elim :premises (@p40)) % 0.39/0.58 (step @p43 false :rule chain_m_resolution :premises (@p42 @p37 @p34) :args (false @t72 (@list @t70 @t73))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------