%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM838+1 : 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 08:40:46 AM UTC 2026 % Result : Theorem 0.15s 0.37s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM838+1 : 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 % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 12:28:48 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.37 % SZS status Theorem % 0.15/0.37 % SZS output start Proof % 0.15/0.37 ( % 0.15/0.37 (declare-sort $$unsorted 0) % 0.15/0.37 (declare-const tptp.v1 $$unsorted) % 0.15/0.37 (declare-const tptp.vsucc (-> $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.less (-> $$unsorted $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.15/0.37 (declare-const tptp.vskolem2 (-> $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.vd301 $$unsorted) % 0.15/0.37 (declare-const tptp.vskolem7 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.vplus (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.37 (declare-const tptp.vd302 $$unsorted) % 0.15/0.37 (declare-const tptp.vd303 $$unsorted) % 0.15/0.37 (define @t1 () (tptp.greater (tptp.vplus tptp.vd301 tptp.vd303) (tptp.vplus tptp.vd302 tptp.vd303))) % 0.15/0.37 (define @t2 () (tptp.greater tptp.vd301 tptp.vd302)) % 0.15/0.37 (define @t3 () (@var "Vd310" $$unsorted)) % 0.15/0.37 (define @t4 () (@var "Vd323" $$unsorted)) % 0.15/0.37 (define @t5 () (tptp.vplus @t4 @t3)) % 0.15/0.37 (define @t6 () (@var "Vd322" $$unsorted)) % 0.15/0.37 (define @t7 () (tptp.vplus @t6 @t3)) % 0.15/0.37 (define @t8 () (tptp.less @t6 @t4)) % 0.15/0.37 (define @t9 () (@list @t3 @t6 @t4)) % 0.15/0.37 (define @t10 () (@var "Vd319" $$unsorted)) % 0.15/0.37 (define @t11 () (@var "Vd318" $$unsorted)) % 0.15/0.37 (define @t12 () (@var "Vd312" $$unsorted)) % 0.15/0.37 (define @t13 () (tptp.vplus @t12 @t3)) % 0.15/0.37 (define @t14 () (@var "Vd311" $$unsorted)) % 0.15/0.37 (define @t15 () (tptp.vplus @t14 @t3)) % 0.15/0.37 (define @t16 () (tptp.greater @t15 @t13)) % 0.15/0.37 (define @t17 () (tptp.greater @t14 @t12)) % 0.15/0.37 (define @t18 () (@list @t3 @t14 @t12)) % 0.15/0.37 (define @t19 () (forall @t18 (=> @t17 @t16))) % 0.15/0.37 (define @t20 () (tptp.vskolem7 @t14 @t12)) % 0.15/0.37 (define @t21 () (tptp.vplus @t20 @t13)) % 0.15/0.37 (define @t22 () (tptp.vplus (tptp.vplus @t20 @t12) @t3)) % 0.15/0.37 (define @t23 () (tptp.vplus @t12 @t20)) % 0.15/0.37 (define @t24 () (tptp.vplus @t23 @t3)) % 0.15/0.37 (define @t25 () (@var "Vd295" $$unsorted)) % 0.15/0.37 (define @t26 () (@var "Vd296" $$unsorted)) % 0.15/0.37 (define @t27 () (@var "Vd292" $$unsorted)) % 0.15/0.37 (define @t28 () (@var "Vd289" $$unsorted)) % 0.15/0.37 (define @t29 () (@var "Vd290" $$unsorted)) % 0.15/0.37 (define @t30 () (@var "Vd283" $$unsorted)) % 0.15/0.37 (define @t31 () (@var "Vd281" $$unsorted)) % 0.15/0.37 (define @t32 () (@var "Vd282" $$unsorted)) % 0.15/0.37 (define @t33 () (@var "Vd265" $$unsorted)) % 0.15/0.37 (define @t34 () (@var "Vd262" $$unsorted)) % 0.15/0.37 (define @t35 () (@var "Vd263" $$unsorted)) % 0.15/0.37 (define @t36 () (@var "Vd258" $$unsorted)) % 0.15/0.37 (define @t37 () (@var "Vd259" $$unsorted)) % 0.15/0.37 (define @t38 () (@var "Vd254" $$unsorted)) % 0.15/0.37 (define @t39 () (@var "Vd255" $$unsorted)) % 0.15/0.37 (define @t40 () (@var "Vd249" $$unsorted)) % 0.15/0.37 (define @t41 () (@var "Vd250" $$unsorted)) % 0.15/0.37 (define @t42 () (@var "Vd244" $$unsorted)) % 0.15/0.37 (define @t43 () (@var "Vd245" $$unsorted)) % 0.15/0.37 (define @t44 () (@var "Vd226" $$unsorted)) % 0.15/0.37 (define @t45 () (@var "Vd227" $$unsorted)) % 0.15/0.37 (define @t46 () (@var "Vd208" $$unsorted)) % 0.15/0.37 (define @t47 () (@var "Vd209" $$unsorted)) % 0.15/0.37 (define @t48 () (@var "Vd204" $$unsorted)) % 0.15/0.37 (define @t49 () (@var "Vd203" $$unsorted)) % 0.15/0.37 (define @t50 () (tptp.less @t49 @t48)) % 0.15/0.37 (define @t51 () (tptp.greater @t49 @t48)) % 0.15/0.37 (define @t52 () (= @t49 @t48)) % 0.15/0.37 (define @t53 () (@list @t49 @t48)) % 0.15/0.37 (define @t54 () (not @t50)) % 0.15/0.37 (define @t55 () (not @t52)) % 0.15/0.37 (define @t56 () (not @t51)) % 0.15/0.37 (define @t57 () (@var "Vd201" $$unsorted)) % 0.15/0.37 (define @t58 () (@var "Vd199" $$unsorted)) % 0.15/0.37 (define @t59 () (@var "Vd198" $$unsorted)) % 0.15/0.37 (define @t60 () (@var "Vd196" $$unsorted)) % 0.15/0.37 (define @t61 () (@var "Vd193" $$unsorted)) % 0.15/0.37 (define @t62 () (@var "Vd194" $$unsorted)) % 0.15/0.37 (define @t63 () (@var "Vd125" $$unsorted)) % 0.15/0.37 (define @t64 () (@var "Vd120" $$unsorted)) % 0.15/0.37 (define @t65 () (@var "Vd121" $$unsorted)) % 0.15/0.37 (define @t66 () (exists (@list @t63) (= @t65 (tptp.vplus @t64 @t63)))) % 0.15/0.37 (define @t67 () (@var "Vd123" $$unsorted)) % 0.15/0.37 (define @t68 () (exists (@list @t67) (= @t64 (tptp.vplus @t65 @t67)))) % 0.15/0.37 (define @t69 () (= @t64 @t65)) % 0.15/0.37 (define @t70 () (@list @t64 @t65)) % 0.15/0.37 (define @t71 () (not @t66)) % 0.15/0.37 (define @t72 () (not @t69)) % 0.15/0.37 (define @t73 () (not @t68)) % 0.15/0.37 (define @t74 () (@var "Vd105" $$unsorted)) % 0.15/0.37 (define @t75 () (@var "Vd107" $$unsorted)) % 0.15/0.37 (define @t76 () (@var "Vd104" $$unsorted)) % 0.15/0.37 (define @t77 () (@var "Vd93" $$unsorted)) % 0.15/0.37 (define @t78 () (@var "Vd92" $$unsorted)) % 0.15/0.37 (define @t79 () (@var "Vd79" $$unsorted)) % 0.15/0.37 (define @t80 () (@var "Vd78" $$unsorted)) % 0.15/0.37 (define @t81 () (@var "Vd69" $$unsorted)) % 0.15/0.37 (define @t82 () (@var "Vd68" $$unsorted)) % 0.15/0.37 (define @t83 () (@var "Vd59" $$unsorted)) % 0.15/0.37 (define @t84 () (@var "Vd48" $$unsorted)) % 0.15/0.37 (define @t85 () (@var "Vd47" $$unsorted)) % 0.15/0.37 (define @t86 () (@var "Vd46" $$unsorted)) % 0.15/0.37 (define @t87 () (@var "Vd42" $$unsorted)) % 0.15/0.37 (define @t88 () (@var "Vd43" $$unsorted)) % 0.15/0.37 (define @t89 () (@var "Vd24" $$unsorted)) % 0.15/0.37 (define @t90 () (@var "Vd16" $$unsorted)) % 0.15/0.37 (define @t91 () (@var "Vd8" $$unsorted)) % 0.15/0.37 (define @t92 () (@var "Vd7" $$unsorted)) % 0.15/0.37 (define @t93 () (@var "Vd4" $$unsorted)) % 0.15/0.37 (define @t94 () (@var "Vd3" $$unsorted)) % 0.15/0.37 (define @t95 () (@var "Vd1" $$unsorted)) % 0.15/0.37 (define @t96 () (not @t2)) % 0.15/0.37 (define @t97 () (or @t96 @t1)) % 0.15/0.37 (define @t98 () (not @t97)) % 0.15/0.37 (define @t99 () (@list true false)) % 0.15/0.37 (define @t100 () (forall @t18 (or (not @t17) @t16))) % 0.15/0.37 (assume @p1 (not @t1)) % 0.15/0.37 (assume @p2 @t2) % 0.15/0.37 (assume @p3 (forall @t9 (=> @t8 (tptp.less @t7 @t5)))) % 0.15/0.37 (assume @p4 (forall @t9 (=> @t8 (tptp.greater @t5 @t7)))) % 0.15/0.37 (assume @p5 (forall @t9 (=> @t8 (tptp.greater @t4 @t6)))) % 0.15/0.37 (assume @p6 (forall (@list @t3 @t11 @t10) (=> (= @t11 @t10) (= (tptp.vplus @t11 @t3) (tptp.vplus @t10 @t3))))) % 0.15/0.37 (assume @p7 @t19) % 0.15/0.37 (assume @p8 (forall @t18 (=> @t17 (= @t21 (tptp.vplus @t13 @t20))))) % 0.15/0.37 (assume @p9 (forall @t18 (=> @t17 (= @t22 @t21)))) % 0.15/0.37 (assume @p10 (forall @t18 (=> @t17 (= @t24 @t22)))) % 0.15/0.37 (assume @p11 (forall @t18 (=> @t17 (= @t15 @t24)))) % 0.15/0.37 (assume @p12 (forall @t18 (=> @t17 (= @t14 @t23)))) % 0.15/0.37 (assume @p13 (forall (@list @t25 @t26) (tptp.greater (tptp.vplus @t25 @t26) @t25))) % 0.15/0.37 (assume @p14 (forall (@list @t28 @t29 @t27) (=> (and (tptp.leq @t29 @t27) (tptp.leq @t28 @t29)) (tptp.leq @t28 @t27)))) % 0.15/0.37 (assume @p15 (forall (@list @t31 @t32 @t30) (=> (or (and (tptp.less @t32 @t30) (tptp.leq @t31 @t32)) (and (tptp.leq @t32 @t30) (tptp.less @t31 @t32))) (tptp.less @t31 @t30)))) % 0.15/0.37 (assume @p16 (forall (@list @t34 @t35 @t33) (=> (and (tptp.less @t35 @t33) (tptp.less @t34 @t35)) (tptp.less @t34 @t33)))) % 0.15/0.37 (assume @p17 (forall (@list @t36 @t37) (=> (tptp.leq @t36 @t37) (tptp.geq @t37 @t36)))) % 0.15/0.37 (assume @p18 (forall (@list @t38 @t39) (=> (tptp.geq @t38 @t39) (tptp.leq @t39 @t38)))) % 0.15/0.37 (assume @p19 (forall (@list @t40 @t41) (= (tptp.leq @t41 @t40) (or (tptp.less @t41 @t40) (= @t41 @t40))))) % 0.15/0.37 (assume @p20 (forall (@list @t42 @t43) (= (tptp.geq @t43 @t42) (or (tptp.greater @t43 @t42) (= @t43 @t42))))) % 0.15/0.37 (assume @p21 (forall (@list @t44 @t45) (=> (tptp.less @t44 @t45) (tptp.greater @t45 @t44)))) % 0.15/0.37 (assume @p22 (forall (@list @t46 @t47) (=> (tptp.greater @t46 @t47) (tptp.less @t47 @t46)))) % 0.15/0.37 (assume @p23 (forall @t53 (or @t52 @t51 @t50))) % 0.15/0.37 (assume @p24 (forall @t53 (or @t55 @t54))) % 0.15/0.37 (assume @p25 (forall @t53 (or @t56 @t54))) % 0.15/0.37 (assume @p26 (forall @t53 (or @t55 @t56))) % 0.15/0.37 (assume @p27 (forall (@list @t59 @t58) (= (tptp.less @t58 @t59) (exists (@list @t57) (= @t59 (tptp.vplus @t58 @t57)))))) % 0.15/0.37 (assume @p28 (forall (@list @t61 @t62) (= (tptp.greater @t62 @t61) (exists (@list @t60) (= @t62 (tptp.vplus @t61 @t60)))))) % 0.15/0.37 (assume @p29 (forall @t70 (or @t69 @t68 @t66))) % 0.15/0.37 (assume @p30 (forall @t70 (or @t72 @t71))) % 0.15/0.37 (assume @p31 (forall @t70 (or @t73 @t71))) % 0.15/0.37 (assume @p32 (forall @t70 (or @t72 @t73))) % 0.15/0.37 (assume @p33 (forall (@list @t76 @t74) (=> (not (= @t76 @t74)) (forall (@list @t75) (not (= (tptp.vplus @t75 @t76) (tptp.vplus @t75 @t74))))))) % 0.15/0.37 (assume @p34 (forall (@list @t78 @t77) (not (= @t77 (tptp.vplus @t78 @t77))))) % 0.15/0.37 (assume @p35 (forall (@list @t80 @t79) (= (tptp.vplus @t79 @t80) (tptp.vplus @t80 @t79)))) % 0.15/0.37 (assume @p36 (forall (@list @t82 @t81) (= (tptp.vplus (tptp.vsucc @t82) @t81) (tptp.vsucc (tptp.vplus @t82 @t81))))) % 0.15/0.37 (assume @p37 (forall (@list @t83) (= (tptp.vplus tptp.v1 @t83) (tptp.vsucc @t83)))) % 0.15/0.37 (assume @p38 (forall (@list @t86 @t85 @t84) (= (tptp.vplus (tptp.vplus @t86 @t85) @t84) (tptp.vplus @t86 (tptp.vplus @t85 @t84))))) % 0.15/0.37 (assume @p39 (forall (@list @t87 @t88) (and (= (tptp.vplus @t87 (tptp.vsucc @t88)) (tptp.vsucc (tptp.vplus @t87 @t88))) (= (tptp.vplus @t87 tptp.v1) (tptp.vsucc @t87))))) % 0.15/0.37 (assume @p40 (forall (@list @t89) (=> (not (= @t89 tptp.v1)) (= @t89 (tptp.vsucc (tptp.vskolem2 @t89)))))) % 0.15/0.37 (assume @p41 (forall (@list @t90) (not (= (tptp.vsucc @t90) @t90)))) % 0.15/0.37 (assume @p42 (forall (@list @t92 @t91) (=> (not (= @t92 @t91)) (not (= (tptp.vsucc @t92) (tptp.vsucc @t91)))))) % 0.15/0.37 (assume @p43 (forall (@list @t94 @t93) (=> (= (tptp.vsucc @t94) (tptp.vsucc @t93)) (= @t94 @t93)))) % 0.15/0.37 (assume @p44 (forall (@list @t95) (not (= (tptp.vsucc @t95) tptp.v1)))) % 0.15/0.37 (assume @p45 true) % 0.15/0.37 (step @p46 :rule bool-impl-elim :args (@t17 @t16)) % 0.15/0.37 (step @p47 :rule cong :premises (@p46) :args (@t19)) % 0.15/0.37 (step @p48 :rule eq_resolve :premises (@p7 @p47)) % 0.15/0.37 (step @p49 :rule cnf_or_pos :args (@t97)) % 0.15/0.37 (step @p50 :rule reordering :premises (@p49) :args ((or @t1 @t96 @t98))) % 0.15/0.37 (step @p51 :rule chain_m_resolution :premises (@p50 @p1 @p2) :args (@t98 @t99 (@list @t1 @t2))) % 0.15/0.37 (assume-push @p58 @t100) % 0.15/0.37 (step @p53 :rule instantiate :premises (@p48) :args ((@list tptp.vd303 tptp.vd301 tptp.vd302))) % 0.15/0.37 (step-pop @p59 :rule scope :premises (@p53)) % 0.15/0.37 (step @p54 :rule process_scope :premises (@p59) :args (@t97)) % 0.15/0.37 (step @p56 :rule implies_elim :premises (@p54)) % 0.15/0.37 (step @p57 false :rule chain_m_resolution :premises (@p56 @p51 @p48) :args (false @t99 (@list @t97 @t100))) % 0.15/0.37 ) % 0.15/0.37 % SZS output end Proof % 0.15/0.37 % cvc5 exiting %------------------------------------------------------------------------------