%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM837+1 : 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 08:40:46 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM837+1 : 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 % 0.17/0.34 % Computer : n016.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 12:29:24 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.v1 $$unsorted) % 0.38/0.56 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.vskolem2 (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.vd271 $$unsorted) % 0.38/0.56 (declare-const tptp.vd269 $$unsorted) % 0.38/0.56 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.vd268 $$unsorted) % 0.38/0.56 (define @t1 () (@var "Vd273" $$unsorted)) % 0.38/0.56 (define @t2 () (= tptp.vd269 (tptp.vplus tptp.vd268 @t1))) % 0.38/0.56 (define @t3 () (@list @t1)) % 0.38/0.56 (define @t4 () (exists @t3 @t2)) % 0.38/0.56 (define @t5 () (not @t4)) % 0.38/0.56 (define @t6 () (tptp.less tptp.vd268 tptp.vd269)) % 0.38/0.56 (define @t7 () (@var "Vd258" $$unsorted)) % 0.38/0.56 (define @t8 () (@var "Vd259" $$unsorted)) % 0.38/0.56 (define @t9 () (@var "Vd254" $$unsorted)) % 0.38/0.56 (define @t10 () (@var "Vd255" $$unsorted)) % 0.38/0.56 (define @t11 () (@var "Vd249" $$unsorted)) % 0.38/0.56 (define @t12 () (@var "Vd250" $$unsorted)) % 0.38/0.56 (define @t13 () (@var "Vd244" $$unsorted)) % 0.38/0.56 (define @t14 () (@var "Vd245" $$unsorted)) % 0.38/0.56 (define @t15 () (@var "Vd226" $$unsorted)) % 0.38/0.56 (define @t16 () (@var "Vd227" $$unsorted)) % 0.38/0.56 (define @t17 () (@var "Vd208" $$unsorted)) % 0.38/0.56 (define @t18 () (@var "Vd209" $$unsorted)) % 0.38/0.56 (define @t19 () (@var "Vd204" $$unsorted)) % 0.38/0.56 (define @t20 () (@var "Vd203" $$unsorted)) % 0.38/0.56 (define @t21 () (tptp.less @t20 @t19)) % 0.38/0.56 (define @t22 () (tptp.greater @t20 @t19)) % 0.38/0.56 (define @t23 () (= @t20 @t19)) % 0.38/0.56 (define @t24 () (@list @t20 @t19)) % 0.38/0.56 (define @t25 () (not @t21)) % 0.38/0.56 (define @t26 () (not @t23)) % 0.38/0.56 (define @t27 () (not @t22)) % 0.38/0.56 (define @t28 () (@var "Vd201" $$unsorted)) % 0.38/0.56 (define @t29 () (@var "Vd199" $$unsorted)) % 0.38/0.56 (define @t30 () (@var "Vd198" $$unsorted)) % 0.38/0.56 (define @t31 () (= @t30 (tptp.vplus @t29 @t28))) % 0.38/0.56 (define @t32 () (@list @t28)) % 0.38/0.56 (define @t33 () (exists @t32 @t31)) % 0.38/0.56 (define @t34 () (tptp.less @t29 @t30)) % 0.38/0.56 (define @t35 () (= @t34 @t33)) % 0.38/0.56 (define @t36 () (forall (@list @t30 @t29) @t35)) % 0.38/0.56 (define @t37 () (@var "Vd196" $$unsorted)) % 0.38/0.56 (define @t38 () (@var "Vd193" $$unsorted)) % 0.38/0.56 (define @t39 () (@var "Vd194" $$unsorted)) % 0.38/0.56 (define @t40 () (@var "Vd125" $$unsorted)) % 0.38/0.56 (define @t41 () (@var "Vd120" $$unsorted)) % 0.38/0.56 (define @t42 () (@var "Vd121" $$unsorted)) % 0.38/0.56 (define @t43 () (exists (@list @t40) (= @t42 (tptp.vplus @t41 @t40)))) % 0.38/0.56 (define @t44 () (@var "Vd123" $$unsorted)) % 0.38/0.56 (define @t45 () (exists (@list @t44) (= @t41 (tptp.vplus @t42 @t44)))) % 0.38/0.56 (define @t46 () (= @t41 @t42)) % 0.38/0.56 (define @t47 () (@list @t41 @t42)) % 0.38/0.56 (define @t48 () (not @t43)) % 0.38/0.56 (define @t49 () (not @t46)) % 0.38/0.56 (define @t50 () (not @t45)) % 0.38/0.56 (define @t51 () (@var "Vd105" $$unsorted)) % 0.38/0.56 (define @t52 () (@var "Vd107" $$unsorted)) % 0.38/0.56 (define @t53 () (@var "Vd104" $$unsorted)) % 0.38/0.56 (define @t54 () (@var "Vd93" $$unsorted)) % 0.38/0.56 (define @t55 () (@var "Vd92" $$unsorted)) % 0.38/0.56 (define @t56 () (@var "Vd79" $$unsorted)) % 0.38/0.56 (define @t57 () (@var "Vd78" $$unsorted)) % 0.38/0.56 (define @t58 () (@var "Vd69" $$unsorted)) % 0.38/0.56 (define @t59 () (@var "Vd68" $$unsorted)) % 0.38/0.56 (define @t60 () (@var "Vd59" $$unsorted)) % 0.38/0.56 (define @t61 () (@var "Vd48" $$unsorted)) % 0.38/0.56 (define @t62 () (@var "Vd47" $$unsorted)) % 0.38/0.56 (define @t63 () (@var "Vd46" $$unsorted)) % 0.38/0.56 (define @t64 () (@var "Vd42" $$unsorted)) % 0.38/0.56 (define @t65 () (@var "Vd43" $$unsorted)) % 0.38/0.56 (define @t66 () (@var "Vd24" $$unsorted)) % 0.38/0.56 (define @t67 () (@var "Vd16" $$unsorted)) % 0.38/0.56 (define @t68 () (@var "Vd8" $$unsorted)) % 0.38/0.56 (define @t69 () (@var "Vd7" $$unsorted)) % 0.38/0.56 (define @t70 () (@var "Vd4" $$unsorted)) % 0.38/0.56 (define @t71 () (@var "Vd3" $$unsorted)) % 0.38/0.56 (define @t72 () (@var "Vd1" $$unsorted)) % 0.38/0.56 (define @t73 () (forall @t3 (not @t2))) % 0.38/0.56 (define @t74 () (forall @t32 (not (= tptp.vd269 (tptp.vplus tptp.vd268 @t28))))) % 0.38/0.56 (define @t75 () (not @t74)) % 0.38/0.56 (define @t76 () (= @t6 @t75)) % 0.38/0.56 (assume @p1 @t5) % 0.38/0.56 (assume @p2 (tptp.less tptp.vd269 tptp.vd271)) % 0.38/0.56 (assume @p3 @t6) % 0.38/0.56 (assume @p4 (forall (@list @t7 @t8) (=> (tptp.leq @t7 @t8) (tptp.geq @t8 @t7)))) % 0.38/0.56 (assume @p5 (forall (@list @t9 @t10) (=> (tptp.geq @t9 @t10) (tptp.leq @t10 @t9)))) % 0.38/0.56 (assume @p6 (forall (@list @t11 @t12) (= (tptp.leq @t12 @t11) (or (tptp.less @t12 @t11) (= @t12 @t11))))) % 0.38/0.56 (assume @p7 (forall (@list @t13 @t14) (= (tptp.geq @t14 @t13) (or (tptp.greater @t14 @t13) (= @t14 @t13))))) % 0.38/0.56 (assume @p8 (forall (@list @t15 @t16) (=> (tptp.less @t15 @t16) (tptp.greater @t16 @t15)))) % 0.38/0.56 (assume @p9 (forall (@list @t17 @t18) (=> (tptp.greater @t17 @t18) (tptp.less @t18 @t17)))) % 0.38/0.56 (assume @p10 (forall @t24 (or @t23 @t22 @t21))) % 0.38/0.56 (assume @p11 (forall @t24 (or @t26 @t25))) % 0.38/0.56 (assume @p12 (forall @t24 (or @t27 @t25))) % 0.38/0.56 (assume @p13 (forall @t24 (or @t26 @t27))) % 0.38/0.56 (assume @p14 @t36) % 0.38/0.56 (assume @p15 (forall (@list @t38 @t39) (= (tptp.greater @t39 @t38) (exists (@list @t37) (= @t39 (tptp.vplus @t38 @t37)))))) % 0.38/0.56 (assume @p16 (forall @t47 (or @t46 @t45 @t43))) % 0.38/0.56 (assume @p17 (forall @t47 (or @t49 @t48))) % 0.38/0.56 (assume @p18 (forall @t47 (or @t50 @t48))) % 0.38/0.56 (assume @p19 (forall @t47 (or @t49 @t50))) % 0.38/0.56 (assume @p20 (forall (@list @t53 @t51) (=> (not (= @t53 @t51)) (forall (@list @t52) (not (= (tptp.vplus @t52 @t53) (tptp.vplus @t52 @t51))))))) % 0.38/0.56 (assume @p21 (forall (@list @t55 @t54) (not (= @t54 (tptp.vplus @t55 @t54))))) % 0.38/0.56 (assume @p22 (forall (@list @t57 @t56) (= (tptp.vplus @t56 @t57) (tptp.vplus @t57 @t56)))) % 0.38/0.56 (assume @p23 (forall (@list @t59 @t58) (= (tptp.vplus (tptp.vsucc @t59) @t58) (tptp.vsucc (tptp.vplus @t59 @t58))))) % 0.38/0.56 (assume @p24 (forall (@list @t60) (= (tptp.vplus tptp.v1 @t60) (tptp.vsucc @t60)))) % 0.38/0.56 (assume @p25 (forall (@list @t63 @t62 @t61) (= (tptp.vplus (tptp.vplus @t63 @t62) @t61) (tptp.vplus @t63 (tptp.vplus @t62 @t61))))) % 0.38/0.56 (assume @p26 (forall (@list @t64 @t65) (and (= (tptp.vplus @t64 (tptp.vsucc @t65)) (tptp.vsucc (tptp.vplus @t64 @t65))) (= (tptp.vplus @t64 tptp.v1) (tptp.vsucc @t64))))) % 0.38/0.56 (assume @p27 (forall (@list @t66) (=> (not (= @t66 tptp.v1)) (= @t66 (tptp.vsucc (tptp.vskolem2 @t66)))))) % 0.38/0.56 (assume @p28 (forall (@list @t67) (not (= (tptp.vsucc @t67) @t67)))) % 0.38/0.56 (assume @p29 (forall (@list @t69 @t68) (=> (not (= @t69 @t68)) (not (= (tptp.vsucc @t69) (tptp.vsucc @t68)))))) % 0.38/0.56 (assume @p30 (forall (@list @t71 @t70) (=> (= (tptp.vsucc @t71) (tptp.vsucc @t70)) (= @t71 @t70)))) % 0.38/0.56 (assume @p31 (forall (@list @t72) (not (= (tptp.vsucc @t72) tptp.v1)))) % 0.38/0.56 (assume @p32 true) % 0.38/0.56 (step @p33 :rule bool-double-not-elim :args (@t73)) % 0.38/0.56 (step @p34 :rule exists-elim :args ((= @t4 (not @t73)))) % 0.38/0.56 (step @p35 :rule cong :premises (@p34) :args (@t5)) % 0.38/0.56 (step @p36 :rule trans :premises (@p35 @p33)) % 0.38/0.56 (step @p37 :rule eq_resolve :premises (@p1 @p36)) % 0.38/0.56 (step @p38 :rule alpha_equiv :args (@t73 (@list @t1) (@list @t28))) % 0.38/0.56 (step @p39 :rule equiv_elim1 :premises (@p38)) % 0.38/0.56 (step @p40 :rule chain_m_resolution :premises (@p39 @p37) :args (@t74 (@list false) (@list @t73))) % 0.38/0.56 (step @p41 :rule exists-elim :args ((= @t33 (not (forall @t32 (not @t31)))))) % 0.38/0.56 (step @p42 :rule refl :args (@t34)) % 0.38/0.56 (step @p43 :rule cong :premises (@p42 @p41) :args (@t35)) % 0.38/0.56 (step @p44 :rule cong :premises (@p43) :args (@t36)) % 0.38/0.56 (step @p45 :rule eq_resolve :premises (@p14 @p44)) % 0.38/0.56 (step @p46 :rule instantiate :premises (@p45) :args ((@list tptp.vd269 tptp.vd268))) % 0.38/0.56 (step @p47 :rule cnf_equiv_pos1 :args (@t76)) % 0.38/0.56 (step @p48 :rule reordering :premises (@p47) :args ((or (not @t6) @t75 (not @t76)))) % 0.38/0.56 (step @p49 false :rule chain_m_resolution :premises (@p48 @p46 @p40 @p3) :args (false (@list false false false) (@list @t76 @t74 @t6))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------